The dot plot shows predictions for the winning time in the​ 200-meter sprint. The winner finished the race in 22.3 seconds. What is the greatest percent error among the​ predictions?

The foot will be moving at a rate of 2.373 ft/s away from the wall when the top is 13 feet above the ground.

From the question, we have the following;

Hypotenuse=17 foot

Height(y)=13 feet

Base(x)=(17^2-13^2)^1/2

        =120^1/2 or sqrt(120)

The ladder against the wall is a right angle triangle, so we have:

x^2+y^2=17^2

x^2+y^2=289

Top slips down at 2ft/s

dy/dt=-2 ft/s, where height (y)=13ft

The foot will be moving horizontally(x), along the x axis, to find how fast the foot will be moving, we find dx/dt

Now, we take the derivative with respect to time:

=x^2+y^2=17^2

=2x(dx/dt)+2y(dy/dt)=0

Substitute the known values, y=13, x=sqrt(120), z=17, dy/dt=-2 ft/s

2(sqrt(120))(dx/dt)+2(13)(-2)=0

2(sqrt(120))(dx/dt)-52=0

We solve for dx/dt:

dx/dt=52/(2sqrt(120))

dx/dt=52/21.9089

dx/dt=2.373 ft/s

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The solutions are x = -1,  y = 1 and z = 5  

In Mathematics, the equation which has highest degree 1 is known as a Linear equation. Linear equations are used to calculate unknown values. Here to represent unknown values we will use variables like x, y, z  or a, b, c .. etc.  

According to the number of variables in given equations, the given equations will be called a Linear equation in one variable or Linear equation in two variables and so on. To solve linear equations we will use Elimination method

Here, we have three linear equations with 3 and 2 variables

4x - 2y + 3z = 9 ----(1)

x - 2y = -3 -----(2)

2x + 3y = 1​ -----(3)

Here, to find x, y and z we will use Elimination method

First of all solve (2) and (3) as given below

2 × (2) ⇒  2x - 4y = - 6 -----(4)

1 × (3) ⇒  2x + 3y = 1​  

Now subtract (3) from (4)

(4) - (3) ⇒ 2x - 4y -2x - 3y  = - 6 - 1

⇒ - 7y = -7

⇒   y = 1

Substitute y = 1 in (2)

(2) ⇒ x - 2(1) = -3

x - 2 = -3

x = -1    

Now substitute x = -1 and y = 1 in (1)

(1) ⇒ 4(-1) - 2(1) + 3z = 9  

- 6 + 3z = 9

3z = 15

z = 5

From above calculations

The values of x = -1,  y = 1 and  z = 5

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Answer:

[tex]4^{6}[/tex] or 4096

Step-by-step explanation:

When the bases are the same, you add the exponents.

Answer:

Step-by-step explanation:

[tex]\boxed{\bf\\a^n*a^m=a^{n+m}}[/tex]

[tex]\displaystyle(4)^2\cdot(4)^4\cdot(4)^0=(4)^{2+4+0}=4^6=4096[/tex]

Answer:

[tex] \sf {\large{4\pi }}[/tex]

Step-by-step explanation:

Circumference of a circle ⭕ = [tex] 2 \pi r [/tex]

Where,

r = d/2

d means diameter

r = 4/2 = 2

So, substitute to equation C = 2πr

C = 2πr

C = (2r)π

C = (2•2)π

C = 4π

Answer:

15

Step-by-step explanation:

It is to be noted that by the proof given below, the attached shape ABCD is a kite.

A kite is a quadrilateral having reflection symmetry across a diagonal in Euclidean geometry. A kite has two equivalent angles and two pairs of adjacent equal-length sides as a result of its symmetry.

The proof is as follows:

AB = AD [Given]

∠ADC = 115°   [Angles on a Straight line]

That is 180 - 65 = 115°

∠BCD = 20°    [Vertical Angles are equal]

∠ABC = (360 - (20+115+110))

= 115°              [Angles in a quadrilateral]

Hence,

ABCD = Kite    [Definition of  a Geometric Kit]

That is

QED

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The equation using x to represent the number of guests at your party is 300 + 9x = 534

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let x represent the number of guests at your party.

Here, renting a roller rink for your birthday costs $300 plus $9 per person. This will be:

300 + 9x = 534

Collect like terms

9x = 534 - 300

9x = 234

Divide

x = 234 / 9

x = 26

The number of guest is 26.

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Answer:

The selling price is:  [tex]\$77,520[/tex]

Step-by-step explanation:

Step 1: Identify the profit made

A profit of 14% is made on the article.

This means that the article was sold at a price that had 14% of its original price added to it.

The 14% of the original price is:

[tex]14\% \times 68000\\=\frac{14}{100}\times 68000\\\\\text{Calculate the value}\\\frac{14}{100}\times 68000\\=9520[/tex]

So, a profit of $9520 was made

Step 2: Calculate the selling price

The selling price will be the sum of the original price and the profit.

The selling price is:

[tex]68000+9520\\=77520[/tex]

The result provides convincing evidence that the tsa officers did not carrry out a truly random sample.

A simple random sample is a subset of a statistical population in which each member has an equal chance of being selected.

In statistics, a simple random sample is a subset of individuals picked at random from a larger set, with all individuals having the same probability. It is the process of selecting a sample at random.

In this case, it's important to note that the fact that all the people chosen were first class members means that it was bias and not a random sampling.

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Answer:

87

Step-by-step explanation:

Answer:87

Step-by-step explanation:

Answer:

6x^9

Step-by-step explanation:

Hello!

Multiply the like terms:

The correct answer is the 3rd option, 6x^9.

Answer:
1. Hyperbole

2. Center: (0,0)

3. Vertices: (-3, 0), (3, 0)

4. Foci: (-6, 0), (6, 0)

5. Asymptotes: y =  [tex]\frac{\sqrt{18}}{3} }[/tex]x and y = [tex]-\frac{\sqrt{18}}{3} }[/tex]x

Step-by-step explanation:

Answer:

The first option is correct :)

Step-by-step explanation:

x=-6, x=-2

|x+4|=2

x+4=2, x=-2

x+4=-2, x=-6

:] (Tell me if this is incorrect!)

(brainliest would help a lot)

Answer: the first one (-2,-6)

Step-by-step explanation:

|x+4| = 2

subtract 4 from both sides and you get -2

|x+4| = -2

subtract 4 from both sides and you get -6

If you want to check your answers, plug it into the original equation

The ratio House blend/Organic Free Trade blend is the same and must remain the same.

So, the proportion is:

Where x is the unknown amount of the Organic Free Trade blend.

So, from the proportion, we have:

Answer: 156 pounds of Organic Free Trade blend

Answer:

x = 2

Step-by-step explanation:

The Question was:
7x + 14 = 28

Subtract 14 from both sides.

7x = 28 − 14

Subtract 14 from 28 to get 14.

7x = 14

Divide both sides by 7.

x = 14/7

​

Divide 14 by 7 to get 2.

x = 2

Answer:

x=2

Step-by-step explanation:

To solve a question like that, we have to isolate the variable.

What is the variable? A variable is a letter partaking in an equation that is in place of a number or solution that makes the equation true.

In this case, the variable is x.

To isolate the variable, we must do the opposite action that is being done to the number.

For example, if a number was added to one side by 28, we can subtract both sides by 28 so it negates the addition and does not alter the original equation.

7x+14=28                We can subtract the 14 on both sides to negate the                                -14  -14                     addition.

7x=14                      Divide each side by 7 to isolate x.

x=2

Answer:

$30

Step-by-step explanation:

10 x 7 = 70

7 x 4 = 28

Since it's $4 to make 10 copies, it'll be $2 to make 5

28 + 2 = 30

$30 for 75 copies (a bad deal honestly)

Please mark Brainliest!!

Answer:

$30 dollars for 75 copies

Step-by-step explanation:

What we know:

$4 for every 10 copies.

How to figure out:

Divide 4/10 = .4    .4 is the cost per copy.

We do this because if it is 4 dollars per 10 copies, then we have to figure out the cost per copy. So we have to do how many dollars goes into each copy.

Now we know the cost of one copy we can multiply the amount of copies we need by the price of one.

75 x 0.4 = 30     30 is the price of 75 copies.

Answer:

(a)Vertex

(c)3 seconds

Explanation:

Part A

The maximum point on a parabola is called the Vertex.

Part C

To find out how much the plain was in the air, find the values of t at which the height, h=0.

Next, subtract the second value of t from the first value.

First, set h=0:

Factorize:

Therefore, the plane hits the ground after 3 seconds.

Step-by-step explanation:

ax2+2x3−24x+1=y

Step 2: Add -2x^3 to both sides.

ax2+2x3−24x+1+−2x3=y+−2x3

ax2−24x+1=−2x3+y

Step 3: Add 24x to both sides.

ax2−24x+1+24x=−2x3+y+24x

ax2+1=−2x3+24x+y

Step 4: Add -1 to both sides.

ax2+1+−1=−2x3+24x+y+−1

ax2=−2x3+24x+y−1

Step 5: Divide both sides by x^2.

ax2

x2

=

−2x3+24x+y−1

x2

a=

−2x3+24x+y−1

x2

Answer:

a=

−2x3+24x+y−1

x2

Answer:

-7

Step-by-step explanation:

-7 is the greatest because it is closer to 0 on the number line.

We can describe 15x-10 as an expression.

We would describe 6x-2<35 as an inequality.

In mathematics, inequalities characterize the connection between two non-equal numbers. Inequality means being unequal. If two values are not equal, we use the "not equal symbol". However, various inequalities are employed to compare the numbers, whether they are less than or higher than.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. It is most commonly used to compare two numbers on the number line based on their size. In the illustration above, there's a less than sign. This means that it's an inequality.

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Answer:

a. 5.6

b. 38.4

c. 8.25

d. 24

Step-by-step explanation:

For the given condition of dimes is 8 times of nickel and there are 18 dimes and nickels altogether, then total money is equal to $1.

As given in the question,

Let x be the number of dimes

Then number of nickels are 8x.

As per given condition,

Total number of dimes and nickels = 18

⇒ x + 8x = 18

⇒ 9x = 18

⇒ x= 2

Number of dimes =2

Number of nickels = 8(2)

                             = 16

Conversion:

1 dime = 0.10$

1 nickel = 0.05$

Total amount of money in dollars

= 2 ×(0.10) + 16× (0.05)

= 0.20 + 0.80

= 1.00

Therefore, for the given condition of dimes is 8 times of nickel and there are 18 dimes and nickels altogether, then total money is equal to $1.

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THE DOMAIN & RANGE OF THE FUNCTION g(x)=|x + 4| is

This is further explained below.

Generally, The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

[tex](-\infty, \infty)[/tex]

Set-Builder Notation:

[tex]$\{x \mid x \in \mathbb{R}\}$[/tex]

The range is the set of all valid y values. Use the graph to find the range.

Interval Notation:

[tex]$[0, \infty)$[/tex]

Set-Builder Notation:

[tex]$\{y \mid y \geq 0\}$[/tex]

Determine the domain and range.

Domain: [tex]$(-\infty, \infty),\{x \mid x \in \mathbb{R}\}$[/tex]

Range: [tex]$[0, \infty),\{y \mid y \geq 0\}$[/tex]

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The length in feet of the pole is 13 ft.

The right-angled triangle's relationship between its three sides is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The square of a triangle's hypotenuse is equal to the sum of its other two sides' squares, according to the Pythagoras theorem. Let's learn more about the Pythagoras theorem, its proofs, and its equations before moving on to cases that have been solved using the triangle and square Pythagoras theorem. The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this.

Use the Pythagorean relationship:

c²= a² + b²

= 5²  +  12²

= 25 + 144

= 169

c = 13

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Graph the cubic using its end behaviour and a few selected points.

The leading coefficient test requires one variable only

Answer:

(5, 20)

Step-by-step explanation:

(5, 20) is the only ordered pair which falls on the line

we have the quadratic equation

we have that

a=1

b=-1

c=-12

Applying the formula to solve a quadratic equation

The values of u are

u=4 and u=-3

therefore

The answer is

The scale factor which takes circle m to circle n as depicted in the attached image is; 3.

It follows from the task content that the scale factor which takes circle m and transforms it to circle n is to be determined.

Hence, since both circles have the same center, the center can be taken as a point of reference.

Therefore, the distances between the center of the circles m and n to any point on their circumferences are; 3 units and 9 units respectively.

On this note, since circle n is; 9/3 = 3 times as large as circle m, it follows that the required scale factor is; 3.

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A painter has three partially filled paint cans.

The first contains 1 7/8 gallons

The second contains 1 1/5 gallons

The third contains 1 3/4 gallons

The total amount of paint is the sum of these paint cans.

Now let us add these mixed fraction numbers

As you can see, 4.825 is closest to 5.

Therefore, the correct option would be D