Games A group of friends tries to keep a beanbag from touching the ground.
On one kick, the beanbag's height can be modeled by h = -161² + 14t + 2, where h
is the height in feet above the ground and t is the time in seconds. Find the time it
takes the beanbag to reach the ground.

Answers

Answer 1

The time it takes for the beanbag to reach the ground is t = 1 second.

What is quadratic equation ?

A quadratic equation is a expression of the form ax^{2} + bx + c = 0, where x is the variable, and a, b, and c are constants. It is a type of second-degree polynomial equation, which can be solved using various methods, including factoring, completing the square, and using the quadratic formula

We know that the beanbag will touch the ground when its height, h, equals zero. Therefore, we can set the equation for h equal to zero and solve for t:

h = -16t² + 14t + 2

0 = -16t²  + 14t + 2 (substitute h=0)

0 = -8t²  + 7t + 1 (divide both sides by 2)

0 = (t-1)(-8t-1) (factor the quadratic)

So, either t - 1 = 0 or -8t - 1 = 0. Solving for t in each case, we get:

t - 1 = 0 => t = 1

-8t - 1 = 0 => t = -1/8

The negative value of t doesn't make sense in this context, since time cannot be negative. Therefore, the time it takes for the beanbag to reach the ground is t = 1 second.

To learn more about quadratic equation visit the link:

https://brainly.com/question/1214333

#SPJ1


Related Questions

Find the standard matrix of the linear transformation T: R2 to R2 that reflects each vector through the line x1=-x2.

Answers

The standard matrix is:


| 0      -1 |
| -1      0 |

The standard matrix of the linear transformation T: R2 to R2 that reflects each vector through the line x1=-x2 can be found by following these steps:

1. Start with the standard basis vectors for R2, which are (1,0) and (0,1).


2. Apply the transformation T to each of these vectors to find the new vectors. For the first vector, (1,0), we have x1=1 and x2=0. The reflection through the line x1=-x2 gives us a new vector with x1=-x2=-0=0 and x2=-x1=-1. So the new vector is (0,-1).


3. For the second vector, (0,1), we have x1=0 and x2=1. The reflection through the line x1=-x2 gives us a new vector with x1=-x2=-1 and x2=-x1=-0=0. So the new vector is (-1,0).


4. The standard matrix of the transformation T is the matrix whose columns are the new vectors we found. So the standard matrix is:
```
| 0 -1 |
| -1  0 |
```
This is the standard matrix of the linear transformation T: R2 to R2 that reflects each vector through the line x1=-x2.

To know more about the standard matrix is:

https://brainly.com/question/30389982#

#SPJ11

Please help me with this question!

Answers

In the triangle, the values are p=10.3, [tex]\angle Q=19.5\textdegree[/tex] and [tex]\angle R = 112.5\textdegree[/tex].

What is trigοnοmetric functiοn?

The functiοns οf an angle in a triangle are knοwn as trigοnοmetric functiοns, cοmmοnly referred tο as circular functiοns. In οther wοrds, these trig functiοns prοvide the relatiοnship between a triangle's angles and sides. There are five fundamental trigοnοmetric functiοns: sine, cοsine, tangent, cοtangent, secant, and cοsecant.

Here in the given triangle PQR, [tex]\angle P = 48\textdegree[/tex] , q=5 and r=13.

Now using law of cosine fοrmula,

=> [tex]p^2=q^2+r^2-2qr.cos\angle P[/tex]

=> [tex]p^2=5^2+13^2-2.5.13.cos 48\textdegree[/tex]

=> [tex]p^2=25+169-130cos48\textdegree[/tex]

=> [tex]p^2=107[/tex]

=> p = 10.3

Now using law of sine then,

=> [tex]\frac{p}{sinP}=\frac{q}{sinQ}[/tex]

=> [tex]sinQ=\frac{q sinP}{p}[/tex]

=> [tex]sin Q= \frac{5sin 48\textdegree}{10.3}[/tex]

=> sin Q = 0.344

=>[tex]\angle Q = 19.5\textdegree[/tex]

Now sum οf all angles in triangle is 180°. Then,

=>[tex]\angle P+\angle Q+\angle R = 180\textdegree[/tex]

=> [tex]\angle R = 180-48-19.5=112.5\textdegree[/tex]

Hence the answers are p=10.3, [tex]\angle Q=19.5\textdegree[/tex] and [tex]\angle R = 112.5\textdegree[/tex].

To learn mοre about trigonometric function refer the below link

https://brainly.com/question/25618616

#SPJ1

20 POINTS, URGENT!!

A. the area of a rectangular deck is (8d² + 20d). The deck is (4d) meters long. Determine a polynomial that represents the width of the deck.

B. What are the dimensions and area of the deck when d is 4 meters?

I think the answer to A is (2d + 5) but what I need help with is B​

Answers

In response to the given question, we can state that With d = 4 metres, polynomials the deck dimensions are 16 metres by 128 metres, and the deck area is 2048 square metres.

what are polynomials?

A polynomial is a mathematical statement composed of equations and uncertainty that exclusively uses additions, addition and subtraction, multiplications, and real number powers of variables. The form x2 4x + 7 indicates a single determinate x algebraic. A polynomial expression in mathematics is made up of determinants (also known as freshly made) and equations that may be added, deducted, multiplied, then raised to minus integer powers of semi. A polynomial is an algebraic statement that includes variables and coefficients. An expressions can really only incorporate the operations add, subtraction, duplication, and non-negative integer factors. These expressions are referred to as polynomials.

substituting d = 4 into the formulas given in the problem.

Then, using the polynomial you discovered in Part A, we can calculate the breadth of the deck when d = 4.

8d2 + 20d = 8(42) + 20(4) = 128 width

With d = 4 metres, the breadth of the deck is 128 metres.

Next, we may utilise the supplied deck length, 4d = 4(4) = 16 metres, to calculate the deck area when d = 4:

16 × 128 = 2048 Area = Length x Width

With d = 4 metres, the deck dimensions are 16 metres by 128 metres, and the deck area is 2048 square metres.

To know more about polynomials visit:

https://brainly.com/question/11536910

#SPJ1

If you were to publish this chart in a news article, what would your headline be and why?

Answers

The headline should be informative and accurately reflect the data presented in the chart.

What is chart?

A chart is a visual representation of data or information that can be used to help people understand complex information quickly and easily. Charts can take many different forms, such as bar charts, line charts, scatter plots, pie charts, and more. They are often used in business, science, and journalism to present data in a way that is clear and easy to interpret. By using charts, people can quickly see patterns and trends in data that might be difficult to discern from a simple list of numbers or words.

Here,

However, a good headline for a chart should accurately and concisely summarize the main findings or trends depicted in the chart. It should also capture the reader's attention and make them want to read more. Depending on the chart, some possible headlines could be:

"New study finds rising trend in global temperatures over past decade"

"Stock market reaches all-time high, driven by tech sector growth"

"Poll shows majority of Americans support stricter gun control laws"

"Obesity rates continue to climb in US, particularly in southern states"

To know more about chart,

https://brainly.com/question/30387848

#SPJ1

The diagonal of rectangle is 26 and its perimeter is 68 what are its dimensions

Answers

If the diagonal of the rectangle is 26 and its perimeter is 68, its dimensions are either 24 by 10 or 10 by 24.

Let's denote the length and width of the rectangle as L and W, respectively.

We know that the diagonal of the rectangle is 26, which we can express using the Pythagorean theorem:

[tex]L^2[/tex]+ [tex]W^2[/tex]=[tex]26^2[/tex]

We also know that the perimeter of the rectangle is 68:

2L + 2W = 68

We can simplify the second equation by dividing both sides by 2:

L + W = 34

We can use this simplified equation to express one variable in terms of the other:

L = 34 - W

This is what we get when we enter it into the first equation:

[tex](34 - W)^2[/tex] + [tex]W^2[/tex] = [tex]26^2[/tex]

Expanding the square and simplifying, we get:

[tex]2W^2[/tex] - 68W + 420 = 0

Dividing both sides by 2, we get:

[tex]W^2[/tex]- 34W + 210 = 0

The quadratic formula can be used to find W:

W = (-b ± t[tex]\sqrt{(b^2 - 4ac)}[/tex] )/ 2a

where a = 1, b = -34, and c = 210. Plugging in these values, we get:

W = (34 ± [tex]\sqrt{34^2 - 4(1)(210))}[/tex]) / 2(1)

W = (34 ± [tex]\sqrt{196}[/tex]) / 2

W= (34 ± 14)/2

W = 17 ± 7

As the breadth cannot be negative, we can disregard the negative solution. Therefore, we have:

W = 24 or W = 10

If W = 24, then L = 10 (using L = 34 - W). If W = 10, then L = 24. Therefore, the dimensions of the rectangle are either 24 by 10 or 10 by 24.

To learn more about rectangle, refer:-

https://brainly.com/question/29085356

#SPJ4

3t-18=4(-3- 3/4t

solve for t

Answers

Answer:

t = 1

Step-by-step explanation:

I will assume that there is a parenthesis missing:  the equation should read 3t-18=4(-3- 3/4t) and not 3t-18=4(-3- 3/4t

3t-18=4(-3- 3/4t)

3t-18= -12- 12/4t   [Remove parentheses by multiplying each term by 4]

3t-6= - 3/t    [Simplify]

3t^2-6t = -3  [Multiply both sides by t]

3t^2-6t +3 = 0

3(t^2-2t+1)=0

3(t-1)*(t-1) = 0

Two solutions, both the same value:  

(t-1) = 0

t = 1

===

Does t=1 result in 0 for the equation?

3t-18=4(-3- 3/4t)

3(1)-18=4(-3- 3/4*(1))

3-18 = 4(-3-3/4)

-15 = 4(-3.75)

-15 = -15  YES

for the following two sequences (i) give the first 5 terms of the sequence. (ii) determine if the sequence converges or diverges. if the sequence converges, determine the limit of the sequence

Answers

The sequences can converge to 0 and also diverge towards infinity.

The two sequences are not mentioned in the question. Please provide the two sequences so that I can give you the first 5 terms of each sequence and determine if each sequence converges or diverges.

To find the first 5 terms of a sequence, you need to use the formula given for the sequence and plug in the values for the first 5 terms. For example, if the sequence is given by a_n = 2n + 1, the first 5 terms would be a_1 = 2(1) + 1 = 3, a_2 = 2(2) + 1 = 5, a_3 = 2(3) + 1 = 7, a_4 = 2(4) + 1 = 9, and a_5 = 2(5) + 1 = 11.

To determine if a sequence converges or diverges, you need to find the limit of the sequence as n approaches infinity. If the limit exists, then the sequence converges to that limit. If the limit does not exist, then the sequence diverges.

For example, the sequence a_n = 1/n converges to 0 as n approaches infinity, while the sequence a_n = n^2 diverges as n approaches infinity.

To know more about Sequences, click on the link below:

https://brainly.com/question/30262438#

#SPJ11

10.6.3 Test (CST): Factoring Polynomials
Question 3 of 25
What are the zeros of f(x) = x²-x-20?
OA. x=-2 and x = 10
B. x= -4 and x = 5
OC. x=-10 and x = 2
OD. x= -5 and x = 4

Answers

Therefore, the zeros of the function f(x) are x = 5 and x = -4.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, combined using the operations of addition, subtraction, multiplication, and non-negative integer exponents. It can have one or more terms, and the degree of a polynomial is the highest power of the variable in the expression.

Here,

To find the zeros of the function f(x) = x² - x - 20, we need to solve for x when f(x) = 0:

x² - x - 20 = 0

We can factor the left side of this equation as:

(x - 5)(x + 4) = 0

Using the zero product property, we know that the product of two factors is zero if and only if at least one of the factors is zero. Therefore, we can set each factor equal to zero and solve for x:

x - 5 = 0 or x + 4 = 0

Solving for x in each equation gives us:

x = 5 or x = -4

To know more about polynomial,

https://brainly.com/question/11536910

#SPJ1

Someone PLEASE help me ASAP!! It’s due today!! Show work please! I will mark brainliest if it’s done correctly

Answers

The correct answer is experimental 22.5% theoretical 18.2%.

What is  theoretical probability?

The theoretical probability is the likelihood of the event to happen without conducting an experiment,

The experimental probability is the result of the actual experiment, which in this case is the frequency of the letter M when chosen from the bag.  Theoretical probability in this case is the number of M's in the bag divided by the total number of letters in the bag.

In this case, there are nine M's out of a total of 39 letters, giving a theoretical probability of 18.2%. Since the number of M's chosen in the experiment was nine, out of a total of 39 chosen, the experimental probability is 22.5%.

For more questions related to event

https://brainly.com/question/29280399

#SPJ1

The correct answer is experimental 22.5% theoretical 18.2%. To calculate the experimental probability of drawing the letter M, we must first identify the total number of items in the bag.

What is  theoretical probability?

The theoretical probability is the likelihood of the event to happen without conducting an experiment,

The total number of items in the bag is 9 + 12 + 7 + 2 + 4 + 1 + 3 + 2 = 40. Next, we divide the number of items with the letter M (9) by the total number of items to get the experimental probability of drawing the letter M.

Therefore, 9/40 = 0.225

= 22.5%.  

To calculate the theoretical probability of drawing the letter M, we must first identify the total number of letters in the bag.

There are 8 letters in the bag (M, A, T, H, E, I, C, S).

Therefore, the theoretical probability of drawing the letter M is

8/40 = 0.2

≈18.2%

For more questions related to event

https://brainly.com/question/29280399

#SPJ1

I’m confused. Please help ASAP. How would I find this out?!

Answers

(a) There are 101 integers between 50 and 150 (including 50 and 150 themselves). Out of these, 50 integers are two-digit numbers (50 to 99) and 51 integers are three-digit numbers (100 to 150). Therefore, it is slightly more likely to draw a three-digit number than a two-digit number.

(b) To find the number of integers between 50 and 150 that are multiples of 3, we can count the number of integers that leave a remainder of 0 when divided by 3. The first multiple of 3 in this range is 51 and the last multiple of 3 is 150, so there are (150-51)/3 + 1 = 34 multiples of 3 in this range.

To find the number of integers between 50 and 150 that are multiples of 5, we can count the number of integers that leave a remainder of 0 when divided by 5. The first multiple of 5 in this range is 50 and the last multiple of 5 is 150, so there are (150-50)/5 + 1 = 21 multiples of 5 in this range.

Therefore, it is more likely to draw a multiple of 3 than a multiple of 5 from the given range of consecutive integers.

Answer:

i think 150 is the answer

Step-by-step explanation:

150 is a 3 digit numbers (as written in question (a)) and is a multiple of 5 and 3

150/5 = 30

150/3 = 50

Pls help me I don’t know the answer and don’t understand it

Answers

If the length of rectangle is 5.25, then the area of rectangle will be less than 25 square meters.

What is area of rectangle?

Area of rectangle is the region covered by the rectangle in a two-dimensional plane. A rectangle is a type of quadrilateral, a 2d shape that has four sides and four vertices.

We know the perimeter of rectangle is 20 meters. So according to formula of Perimeter of rectangle = 2 (L + B) we can conclude that sum of length and width will be 10 meters.

We are given length as 1, 3, 5, 7, and 9.

So width of the rectangle will be 9, 7, 5, 3 and 1.

Area of Rectangle = L x B

So area of rectangle will be 9, 21, 25, 21, and 9.

If the length of rectangle is 5.25, then the area of rectangle will be less than 25 square meters.

Values are changing in a linear way and not in an exponential way.

Learn more about rectangles on:

https://brainly.com/question/2607596

#SPJ1

Solve triangle ABC given that A = 56°, B = 57°, and b = 9. 0. Round the length of the sides to the nearest hundredth.

Answers

The sides of the triangle to the nearest hundredth are: a ≈ 8.99, b ≈ 7.96

and c ≈ 9.44.

To solve the triangle, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all three sides.

Using this law, we can find the length of side a as follows:

sin A / a = sin B / b

sin 56° / a = sin 57° / 9

a = 9 * sin 56° / sin 57°

a ≈ 8.99

Similarly, we can find the length of side c as follows:

sin C / c = sin B / b sin (180° - A - B) / c = sin 57° / 9

sin 67° / c = sin 57° / 9

c = 9 * sin 67° / sin 57°

c ≈ 9.44

Now, we can use the Law of Cosines to find the length of the remaining side, side b:

b 2 = a 2 + c 2 - 2ac cos B

b 2 = (8.99) 2 + (9.44) 2 - 2(8.99)(9.44) cos 57°

b ≈ 7.96

For more such question on triangle

https://brainly.com/question/17335144

#SPJ11

if 4x+y=7 is a true equation what would be the value of −5(4x+y)

Answers

Answer:

-32

Step-by-step explanation:

since 4x+y equals 7, multiply -5 by 7

Answer:

40x - 5y = -40x - 5(4x + y) = -40x - 20x - 5(7) = -60x - 35

Step-by-step explanation:

To find the value of -5(4x+y), we first need to simplify the expression inside the parentheses:

-5(4x + y) = -5(4x) - 5(y) = -20x - 5y

Now, we can substitute the value of y from the given equation:

-20x - 5y = -20x - 5(4x + y) = -20x - 20x - 5y = -40x - 5y

Since we know that 4x + y = 7, we can substitute this into the above equation:

-40x - 5y = -40x - 5(4x + y) = -40x - 20x - 5(7) = -60x - 35

Which inequality is equivalent to −4≥28?

Answers

Answer:

-1 ≥ 7

Step-by-step explanation:

-1 ≥ 7            =         -4 ≥ 28

  -4 ≥ 28

We simplify both sides by 4 and get -1 ≥ 7

A discount store is selling 5 small tables with 8 chairs for $115. Three tables with 5 chairs cost $70.

Which system of linear equations could be used to find the cost of each table (x) and the cost of each chair (y)?

Determine the cost of each table (x) and the cost of each chair (y).

answer both question please and thank you

Answers

Using linear equations 5x + 8y = 115 and 3x + 5y = 70,  the cost of each table is $15 and the cost of each chair is $5.

What is a linear equation, exactly?

A linear equation is a mathematical expression that describes a straight line relationship between two variables. It can be written in the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept.

Now,

Let x = cost of each table and y= cost of each chair. Then, we can set up the following system of linear equations based on the given information:

5x + 8y = 115 (equation 1)

3x + 5y = 70 (equation 2)

Equation 1 represents the cost of 5 small tables with 8 chairs, and equation 2 represents the cost of 3 tables with 5 chairs.

Now,

Solve equation 2 for x:

3x + 5y = 70

3x = 70 - 5y

x = (70 - 5y)/3

Substitute x into equation 1:

5x + 8y = 115

5[(70 - 5y)/3] + 8y = 115

Simplify and solve for y:

350/3 - 25/3 y + 8y = 115

23/3 y = 115 - 350/3

y = 5

Substitute y = 5 into equation 2 and solve for x:

3x + 5y = 70

3x + 5(5) = 70

3x = 45

x = 15

Therefore,

               the cost of each table is $15 and the cost of each chair is $5.

To know about linear equations visit the link

brainly.com/question/29739212

#SPJ1

Triangle a′b′c′ is a dilation of ​triangle abc​ about point p with a scale factor of 12. is the dilation a reduction or an enlargement? responses reduction reduction enlargement

Answers

The dilation of triangle ABC about point P with a scale factor of 12 is an enlargement.

In a dilation, the size of a figure is changed by multiplying its dimensions by a scale factor. If the scale factor is greater than 1, the figure is enlarged. If the scale factor is between 0 and 1, the figure is reduced in size. In this case, the scale factor is 12, which is greater than 1. Therefore, triangle ABC is enlarged to form triangle A'B'C' by a factor of 12. Therefore, the dilation is an enlargement.

In the context of triangles, an enlargement means that all sides and angles of the original triangle are increased by the same factor to create a larger triangle. In this case, the sides and angles of triangle ABC are multiplied by a factor of 12 to create triangle A'B'C'. As a result, the corresponding sides and angles of the two triangles are proportional, but the enlarged triangle is 12 times larger than the original triangle.

Learn more about corresponding sides here:

https://brainly.com/question/16086091

#SPJ4

Jocelyn and Lorlesha are comparing the size of their villages in the Clash of Clans app. The area of Jocelyn’s village is represented by the polynomial, 2w^2 + 10w + 12. The area of Lorlesha’s village is represented by the polynomial, 3w^2 + 4w -5, where w represents the width, in meters of their Town Hall.

Answers

Jocelyn's village additional area is (-w² + 6w + 17) m². The combined total area of both is (5w² + 14w + 7) m².

What is an equation?

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

Let w represent he width of the town hall.

Area of Jocelyn's village = 2w² + 10w + 12

Area of Lorlesha's village = 3w² + 4w - 5

The difference in their area = (2w² + 10w + 12) - (3w² + 4w - 5) = -w² + 6w + 17

The sum of their area = (2w² + 10w + 12) + (3w² + 4w - 5) = 5w² + 14w + 7

Jocelyn's village additional area is (-w² + 6w + 17) m². The combined total area of both is (5w² + 14w + 7) m².

Find more on equation at: https://brainly.com/question/2972832

#SPJ1

Find the inverse of the following function: f(x) = 2(x - 4)^3 + 7

Answers

The inverse of the function f(x) = 2(x - 4)³ + 7 is g(x) = ∛[(x - 7) / 2] + 4.

What is a function?

A mathematical notion known as a function explains the connection between two sets of values known as the domain and the range. A function takes a value from the domain as an input, applies some logic to it, and returns a value in the range. Just one output value in the range corresponds to each input value in the domain. Functions can be described verbally or with mathematical symbols. They are employed throughout the mathematical discipline as well as in the sciences of physics, engineering, economics, and computer science.

The given function is f(x) = 2(x - 4)³ + 7.

Swap the variables, that is substitute x = y and vice versa as follows:

x = 2(y - 4)³ + 7

x - 7 = 2(y - 4)³

(x - 7) / 2 = (y - 4)³

Taking the cube root of both sides gives:

y - 4 = ∛[(x - 7) / 2]

y = ∛[(x - 7) / 2] + 4

Therefore, the inverse of f(x) = 2(x - 4)³ + 7 is g(x) = ∛[(x - 7) / 2] + 4.

Learn more about function here:

https://brainly.com/question/31062578

#SPJ1

At the start of the day, a painter rested a 3m ladder against a vertical wall so that
the foot of the ladder was 50cm away from the base of the wall.
During the day, the ladder slipped down the wall, causing the foot of the ladder to
move 70cm further away from the base of the wall.
How far down the wall, in centimetres, did the ladder slip?
Give your answer to the nearest 1 cm.

Answers

The ladder slipped down the wall by approximately 296 cm to the nearest 1 cm.

What is the distance slipped by the ladder?

We can use the Pythagorean theorem to solve this problem.

Let the distance the ladder slips down the wall be represented by x (in cm).

Then, at the start of the day, we have a right triangle formed by the wall, the ground, and the ladder, with the ladder being the hypotenuse.

The length of the ladder is 3m = 300cm, and the distance from the foot of the ladder to the wall is 50cm.

Therefore, we have:

(300)² = x² + (50)²

Simplifying this equation, we get:

90000 = x² + 2500

Subtracting 2500 from both sides, we get:

87500 = x²

Taking the square root of both sides, we get:

x = √87500

x = 295.8 cm

x ≈ 296 cm

Learn more about slipping of ladder here: https://brainly.com/question/13652193

#SPJ1

Suppose a city with 400,000 population has been growing at a rate of ​4% per year. If this rate​ continues, find the population of this city in 17 years

Answers

The population of a city with 400,000 population growing at a rate of 4% per year can be calculated using the following formula:
P​(t) = P​0 ​ (1 + r)​t
Where P​0 is the initial population, r is the growth rate, and t is the number of years the growth is applied.
In this example, the initial population is 400,000, the growth rate is 0.04, and t is 17 years. Applying this formula, we get:
P(17) = 400,000 (1 + 0.04)17
P(17) = 615,288
Therefore, the population of this city in 17 years will be 615,288 if the growth rate of 4% per year continues.

For more such population related questions

https://brainly.com/question/29885712

#SPJ11

What is the translation rule that describes the result of the composition of (x, y) --> (x+4, y-1) and (x, y) --> (x-5, y-5)?

Answers

The composition of the two translation rules is:

(x, y) → (x - 1, y - 6)

What is a translation rule?

A translation rule is a mathematical description of how to move each point in a geometric shape by a fixed distance in a certain direction. It is used to describe a transformation called a translation, which moves a shape without changing its size, shape, or orientation.

To find the composition of the two translation rules, we apply the second rule first and then apply the first rule to the result.

Let's consider a point (x, y). Applying the second rule (x, y) → (x - 5, y - 5) gives us a new point:

(x - 5, y - 5)

Now we apply the first rule (x, y) → (x + 4, y - 1) to this new point:

(x - 5 + 4, y - 5 - 1)

Simplifying:

(x - 1, y - 6)

Therefore, the composition of the two translation rules is:

(x, y) → (x - 1, y - 6)

To learn more about the translation rule, visit:

https://brainly.com/question/12861087

#SPJ1

What is 68+1=
What is 69+0=

Answers

Answer:

69 and 69

Step-by-step explanation:

68 + 1 = 69

69 + 0 = 69

look how much people i hav helped

Claire buys furniture to the value of R35 000. she pays a 15% cash deposit and signs a hire purchase agreement for the balance. the interest rate will be 13% per annum and she will pay off the loan over a period of 3 years. what is the value of the deposit?​

Answers

Answer:

Total amount = R41 337.50

Step-by-step explanation:

The value of the deposit is 15% of the total purchase price:

Deposit = 15/100 x R35 000

Deposit = R5 250

To calculate the balance that Claire will have to pay off, we need to subtract the deposit from the total purchase price:

Balance = Total purchase price - Deposit

Balance = R35 000 - R5 250

Balance = R29 750

To calculate the interest that Claire will have to pay on the balance, we can use the formula:

Interest = Principal x Rate x Time

where:

Principal is the amount of the balance

Rate is the annual interest rate (13%)

Time is the duration of the loan in years (3)

So, the interest that Claire will have to pay is:

Interest = R29 750 x 0.13 x 3

Interest = R11 587.50

Therefore, the total amount that Claire will have to pay back over the 3-year period is:

Total amount = Balance + Interest

Total amount = R29 750 + R11 587.50

Total amount = R41 337.50

Note that this assumes that the interest is calculated annually and added to the balance at the end of each year. In reality, the interest may be calculated differently depending on the terms of the hire purchase agreement.

The relationship between the number of decibels β and the intensity of a sound I
in watts per square meter is
β=10log(I10−12)
(a) Determine the number of decibels of a sound with an intensity of 1 watt per square meter.
(b) Determine the number of decibels of a sound with an intensity of 10−2
watt per square meter.
(c) The intensity of the sound in part (a) is 100 times as great as that in part (b). Is the number of decibels 100 times as great? Explain.

Answers

(a) A sound with an intensity of 1 watt per square meter has a decibel level of -120.

(b) A sound with an intensity of 10⁻² watt per square meter has a decibel level of -140.

(c) The number of decibels is not 100 times as great as the intensity, even though the intensity in part (a) is 100 times greater than the intensity in part (b).

What is the sound level?

Using the relationship of intensity of sound and number of decibels, we can calculated the required number of decibels as follows;

β =10 log(I x 10⁻¹²)

(a) Decibel level: plugging in I = 1 watt per square meter into the equation, we get:

β = 10 log(1 x 10⁻¹²) = 10 log(10⁻¹²) = -120 decibels

(b) Decibel level: plugging in I = 10⁻² watt per square meter into the equation, we get:

β = 10 log(10⁻² x 10⁻¹²) = 10 log(10⁻¹⁴) = -140 decibels

(c) Let's calculate the decibel level for the sound in part (a) using the given formula:

β₁ = 10 log(I₁ x 10⁻¹²) = 10 log(100 x I₂ x 10⁻¹²) = 10 log(I₂ x 10⁻¹⁴) + 20

where;

I₂ is the intensity of the sound in part (b).

Using the result from part (b), we can substitute I₂ = 10⁻² watt per square meter and get:

β₁ = -140 + 20 = -120 decibels

Comparing this result to the decibel level for the sound in part (a) (which is also -120 decibels), we see that they are the same.

Learn more about decibel level here: https://brainly.com/question/29239268

#SPJ1

Part E Graph the average profit function you created in part C by going to your math tools and opening the Graph tool. Set the scale of the graph to go from -20 to 20 on the x-axis and from -100,000 to 100,000 on the y-axis. Select the graph generated, copy it, and paste an image of your graph in the space provided

Answers

Answer:

huh? where is the pic of graph

Step-by-step explanation:

no pic was shown

Need some help in math

Answers

Answer: A all you have to do is look where the line is going

Answer:

C

Step-by-step explanation:

under a reflection in the line y = - x

a point (x, y ) → (- y, - x ) , then

(- 1, 6 ) → (- 6, - (-1) ) → (- 6, 1 )

(- 3, 2 ) → (- 2, - (- 3) ) → (- 2, 3 )

i need help with this one

Answers

The missing values are given as shown in the table

What is a cylinder?

A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curvilinear surface at a particular distance from the center which is the height of the cylinder.

We should understand that the area of a cylinder is given by

Area = 2λr(r+h)

and the volume of the cylinder to be;

volume - λr²h

by substitution we get the values as

diameter        radius         base area     height     `cylinder volume

units                units             square         units          cubic units

                                                units

4                         2                 150.9            10                   62.9

6                         3                151.0               7                    63π

8                          4               25π                  0.875           80π

Learn more about cylinder on https://brainly.com/question/16134180

#SPJ1

what is the multiplier for 1%, and 2% decay?​

Answers

"The multiplier for decay is given by the formula:

multiplier = (1 - (decay rate/100))^n

where "decay rate" is the percentage rate of decay per time period (usually per year), and "n" is the number of time periods.

For a decay rate of 1%, the multiplier would be:

multiplier = (1 - (1/100))^n = 0.99^n

For a decay rate of 2%, the multiplier would be:

multiplier = (1 - (2/100))^n = 0.98^n

The value of the multiplier depends on the number of time periods "n". For example, if we want to find the value of an initial quantity after 3 years of 1% decay, we would use the multiplier of 0.99 raised to the power of 3:

multiplier = 0.99^3 = 0.9703

This means that the final quantity would be 97.03% of the initial quantity.

Similarly, if we want to find the value of an initial quantity after 5 years of 2% decay, we would use the multiplier of 0.98 raised to the power of 5:

multiplier = 0.98^5 = 0.9039

This means that the final quantity would be 90.39% of the initial quantity." (ChatGPT, 2023)

Mr. Dieter wants to tile the family room in his basement. He has selected a pattern of

square tiles that measure 9 inches by 9 inches each. The shape of the floor to be tiled is

shown below. (3 points for each part)


a. What is the area of the family room in square feet?

b. How many of the 9 inch by 9 inch tiles will it take to cover the floor? (NOTE: You

will need to convert the area in Part a from square feet to square inches.)

c. If the tile is sold only in boxes of 12 tiles per box, how many boxes will Mr. Dieter

have to buy to tile the family room?

Answers

a. The area of the family room is 162 ft².

b. 24 tiles will be needed to cover the floor.

c. Mr. Dieter will have to buy 2 boxes to tile the family room.

The solution has been obtained by using the arithmetic operations.

What are arithmetic operations?

All real numbers are thought to be sufficiently described by the four basic operations, also referred to as "arithmetic operations." The mathematical operations quotient, product, sum, and difference come after division, multiplication, addition, and subtraction.

a. There are two different shapes of which one is rectangle and other is triangle.

So,

⇒ Area of rectangle = length x width

⇒ Area of rectangle = 16 x 8

⇒ Area of rectangle = 128 ft²

Also,

⇒ Area of first triangle = [tex]\frac{1}{2}[/tex] x base x height

⇒ Area of first triangle = [tex]\frac{1}{2}[/tex] x 4 x 3

⇒ Area of first triangle = 6 ft²

Similarly,

⇒ Area of first triangle = [tex]\frac{1}{2}[/tex] x base x height

⇒ Area of first triangle = [tex]\frac{1}{2}[/tex] x 8 x 7

⇒ Area of first triangle = 28 ft²

On adding the three areas, we get

⇒ Area of family room = 128 + 6 + 28

⇒ Area of family room = 162 ft²

b. We will convert the area into inches.

We know that 1 feet = 12 inches.

So, using the multiplication, we get

162 feet = 162 * 12 in²

162 feet = 1944 in²

Now,

⇒ Area of tile = 9 * 9

⇒ Area of tile = 81 in²

So,

⇒ Number of tiles = [tex]\frac{1944}{81}[/tex]

⇒ Number of tiles = 24

c. Since, tiles are sold in boxes of 12 so, using the division operation, we get

⇒ Number of boxes needed = [tex]\frac{24}{12}[/tex]

⇒ Number of boxes needed = 2

Hence, the required solution has been obtained.

Learn more about arithmetic operations from the given link

brainly.com/question/30283549

#SPJ1

Chin paid $16. 24 for 7 bags of flour that were on sale for 10% off. Each bag contained 2 pounds of flour. What was the regular price for 1 pound of flour

Answers

In the following question, if Chin paid $16. 24 for 7 bags of flour that were on sale for 10% off. Each bag contained 2 pounds of flour. The regular price for 1 pound of flour is $1.29.

Chin paid $16.24 for 7 bags of flour that were on sale for 10% off.

Let's first find the total cost of the 7 bags of flour before the discount:

Total cost before discount = $16.24 ÷ 0.9 = $18.04

We know that each bag contained 2 pounds of flour, so the total amount of flour Chin bought was:

7 bags x 2 pounds/bag = 14 pounds

So the cost of 1 pound of flour is:

$18.04 ÷ 14 pounds = $1.29 per pound

Therefore, the regular price for 1 pound of flour would be $1.29.

For more such questions on discounts

https://brainly.com/question/27519306

#SPJ4

Other Questions
help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! A chemist produced 26. 75 moles of potassium oxide in the lab. How many particles of potassium ocide is this ? please help me ill give brainliest and 100 points ):! the story of riki tiki tavi pls help if you have read it Help please 25 points !!! what are some needs medical users might need during a public health crisis, medical emergency or during routine communication What is an application-layer message? A transport-layer segment? A network-layerdatagram? A link-layer frame? To whom or what audience is the song Vietnam by Jimmy Cliff addressed? algebra 1 please help Governments and the Not-for-profit organisations collaborate in provision of services, especially in this time of COVID-19 pandemic.I). Analyse methods that this collaboration can be enhanced in the time of COVID-19 pandemic that is ravaging the world. (15 MKS) Use a Double- or Half-Angle Formula to solve the equation in the interval[0,2). (Enter your answers as a comma-separated list.)cos()sin()=2sin(2)= Write a 350- to 525-word paper discussing the leadership implications of embracing diversity and inclusion in the workplace.Include a minimum of 3 peer-reviewed resources. The Northouse text may be used. The University Library has a wealth of peer-reviewed sources for your research as well.Format your paper according to APA guidelines using the APA Paper Template Doctoral 7th Edition.Note: A well-structured scholarly paragraph contains a minimum of 5 sentences. Please refer to the MEAL Plan document as a guide.Include APA-formatted in-text citations and referencesReminder: Before submitting your assignment, proofread for grammatical and sentence structure. Re-read the assignment description and refer to the attached rubric to ensure each element of the assignment has been addressed. Whats the answer for this please What do you use to isolate a variable n order to increase profitability started to acquire inefficient or poorly managed companies and then restructure them to improve their performance. it is really one of the ways how a diversified company can increase its profitability. group of answer choices true false PLEASE HELPadaptation - a behavior or trait that increases the ability of an organism to ________ and/or reproduceextinction - the total ________ of all members of a speciespredator - an organism that ________ another for foodvariation - the ________ differences between individuals of the same species Listen to the music samples. Identify the style of each sample as bluegrass, folk, or country music. Then follow the directions in the Listening Graded Assignment to compare and contrast bluegrass, folk, and country music.Sample 1: "Like It's Going Out of Style"Sample 2: "Blue-Nosed Gopher"Sample 3: "Just Around the Corner" An operation produces widgets using a process with 4 work stations arranged sequentially (from 1 to 4) in a line. One employee who each get paid $23/hour staffs each workstation. Materials cost $6 per widget. The widgets are sold for $25 each. Fixed cost is $300/hour. The cycle time for each employee are 28 seconds in station 1, 32 seconds in station 2, 26 seconds in station 3 and 34 seconds in station 4. The current demand is 150 widgets per hour.1. What is the average labor utilization rate?2. What is the profit per hour?3. What is the takt time in seconds of the process?4. If the process is line balanced and each employees cycle time is now 30 seconds, what will be the profit of this revised process?5. After a series of Kaizen events, the cycle time of each employee has been reduced to the takt time and wage rates went up to $28/hour. What will be the new profit? 1 Would you like a job working with animals? 2 If you are considering a career in a nokill, nonprofit animal shelter, take a look at Home Fur Good. Caring for animals in theshelter, one of the most rewarding jobs there is. 4 Several positions are available rightnow, including dog handler and adoption counselor. 5 If you are devoted to the causeof saving animals, we would love to hear from you. 6 Contact Jerry at Home Fur Good.Which numbered section contains a sentence fragment?1234 What is the relationship between a chromosome and DNA? Responses Chromosomes are made of DNA. Chromosomes are made of DNA. Chromosomes manufacture DNA. Chromosomes manufacture DNA. DNA is made of chromosomes. DNA is made of chromosomes. DNA manufactures chromosomes. 3. Stratigraphy helps paleontologists understand the sequence of events in Earth's history.A. What are two of the principles of stratigraphy? (4 points)B. How is each principle used to make it easier for geologists to understand Earth's past? (6points)