Write an equation in standard form of the line that passes through the given points.

7. (-3, 2); m = 1

Write An Equation In Standard Form Of The Line That Passes Through The Given Points.7. (-3, 2); M = 1

Answers

Answer 1

Answer:

y=x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-2=1(x+3)

y-2=x+3

y=x+1


Related Questions

A volume of the cone is 1/3 the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?

Answers

The volume of the sphere is 4/3 times the volume of the cylinder.

What is a cone?

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

We have,

The volume of the cone is 1/3 the volume of a cylinder.

The volume of a cone is given as:

V = (1/3)πr²h ____(1)

The volume of a cylinder is given as:

V = πr²h _____(2)

From (1) and (2) we get,

(1/3)πr²h = 1/3 πr²h

The volume of a sphere:

V = 4/3 πr³

Since the height of the sphere and the radius is the same we can have

V = 4/3πr²h

So,

Volume of sphere = 4/3 x πr²h

The volume of the sphere = 4/3 x the Volume of the cylinder.

Thus,

The volume of the sphere is 4/3 times the volume of the cylinder.

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a jar contains 22 red marbles number 1 to 22 and 52 blue marbles number 1 to 50 to a marble is drawn at random from the drawer find the probability of the given event around solution to three decimal places

Answers

We are given a jar that contains 22 red marble( 1 to 20) and 52 blue marbles (1 to 52). We can proceed to find the solution for each part of the question.

PART 1

Let the probability that the marble is red be P(r).

Therefore,

[tex]P(r)=\frac{Number\text{ of red balls}}{\text{Total number of balls}}[/tex]

This gives,

[tex]\begin{gathered} P(r)=\frac{22}{22+52}=\frac{22}{74} \\ \therefore P(r)=\frac{11}{37}=0.297 \end{gathered}[/tex]

Therefore, the probability that the marble is red is:

ANSWER= 0.297

PART 2:

Let the probability of picking odd-numbered balls be P(o)

Therefore,

[tex]P\mleft(o\mright)=\frac{Number\text{ of odd balls}}{\text{Total number of balls}}[/tex]

We already know that the total number of balls is 72 for the previous question. Therefore, the total number of oddballs will be the sum of odd red balls and odd blue balls. This consists of 11 odd red balls and 26 odd blue balls.

Therefore,

[tex]\begin{gathered} P(o)=\frac{26+11}{74}=\frac{37}{74} \\ \therefore P(o)=0.5 \end{gathered}[/tex]

The probability of picking odd-numbered balls is

ANSWER = 0.5

PART 3:

Let the probability of picking a red or odd-numbered ball be P(r U o)

[tex]P(r\cup o)=P(r)+p(o)-p(r\cap o)[/tex]

Since we already have the values of P(r) and P(o), therefore we only need to find p(r n o).

p(r n o) is the probability of the ball being red and odd. The number of the red and oddball is 11.

Therefore,

[tex]\begin{gathered} P(r\cap o)=\frac{nu\text{mber of red and odd balls}}{\text{Total number of balls}} \\ =\frac{11}{74} \\ =0.149 \end{gathered}[/tex]

This implies that,

[tex]\begin{gathered} P(r\cup o)=P(r)+p(o)-p(r\cap o) \\ P(r\cup o)=0.297+0.5-0.149 \\ \therefore P(r\cup o)=0.648 \end{gathered}[/tex]

Hence, the probability of picking a red or odd-numbered ball is

ANSWER = 0.648

PART 4:

Let the probability of picking a blue or even-numbered ball be P(b U e)

Therefore,

[tex]P(b\cup e)=p(b)+p(e)-p(b\cap e)[/tex]

From the above formula, we would need to figure out all the parts. p(b) represents the probability of blue marble. This gives,

[tex]\begin{gathered} p(b)=\frac{Number\text{ of blue balls}}{\text{Total number of balls}} \\ \therefore p(b)=\frac{52}{74}=0.703 \end{gathered}[/tex]

p(e) represents the probability of even balls. The total number of even balls will be the sum of the even red balls and even blue balls.

[tex]\begin{gathered} p(e)=\frac{26+11}{74}=\frac{37}{74} \\ \therefore p(e)=0.5 \end{gathered}[/tex]

p(b n e) represents the probability of blue and even balls. We have 26 blue and even balls

[tex]\begin{gathered} p(b\cap e)=\frac{Number\text{ of blue and even balls}}{\text{Total number of balls}} \\ P(b\cap e)=\frac{26}{74}=0.351 \end{gathered}[/tex]

Therefore,

[tex]\begin{gathered} P(b\cup e)=p(b)+p(e)-p(b\cap e) \\ P(b\cup e)=0.703+0.5-0.351 \\ \therefore P(b\cup e)=0.852 \end{gathered}[/tex]

Therefore, the probability of picking a blue or an even ball is:

ANSWER = 0.852

A 6-foot- tall electric pole casts a shadow that is 24 feet long. What is the ratio
of the pole's height to its shadow?

Answers

The ratio of the pole's height to its shadow is 1:4.

What is a ratio?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls).A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

So, the ratio of height:shadow:

The height of the pole is 6 feet.The shadow the pool creates is 24 feet.

The ratio will be:

6:246/241/41:4


Therefore, the ratio of the pole's height to its shadow is 1:4.

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Just need the answer A, B , C or D

Answers

Answer:

A. 2.25 feet.

Explanation:

We know the following equation:

[tex]v=\sqrt[]{2gh}[/tex]

Where v is the speed, g is the gravity and h is the height. So, replacing v by 12 feet per second and g by 32 feet per second square, we get:

[tex]12=\sqrt[]{2(32)h}[/tex]

So, solving for h, we get:

[tex]\begin{gathered} 12=\sqrt[]{64h} \\ 12^2=(\sqrt[]{64h})^2 \\ 144=64h \\ \frac{144}{64}=\frac{64h}{64} \\ 2.25=h \end{gathered}[/tex]

Therefore, the answer is A. 2.25 feet.

what is the answer for n? 5i + 7i =n

Answers

Answer: [tex]n=12i[/tex]

Step-by-step explanation:

Combine like terms.

Last night, the two dinner specials at Rhianna's favorite restaurant were salmon filet and steak. The restaurant served 52 specials in all, 25% of which were salmon filets. How many salmon filets did the restaurant serve?

Answers

There were 13 salmon fillets that the restaurant served.

How do we calculate how many salmon fillets the restaurant served?

The solution to this math problem involves fractions, especially percentage. A percentage is a fraction of a hundred. The literal meaning of percentage is "per 100". Percentage is often referred to as percent. The symbol or sign for percentage is %. The number beside the symbol/sign is the numerator, so for example, 10% can also be written as 10/100.

We're given that 25% of the dinner specials served by the restaurant were salmon fillets. In order to find out how many salmon fillets were served, we only need to multiply 52 by 25%.

52 × 25% =

52 × 25/100 =

(52 × 25)/100 =

1,300/100 = 13

There were indeed thirteen salmon fillets served by the restaurant.

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What is the slope of -2,1 and 2,1

Answers

Is should be 50% slope

Answer:

m=0

Step-by-step explanation:

(-2,1) (2,1)

x1=-2,x2=2,y1=1,y2=1

Gradient/slope

m=y2-y1/x2-x1

m=1 - 1/2-(-2)

m=0/2+2

m=0/4

m=0

Maria has already written Two-fifths of her 1,000 word essay. If she continues writing at the same pace of 6One-half words per minute, which expression shows the amount of time it will take her to write the rest of the essay?

1000 times two-fifths times StartFraction 13 Over 2 EndFraction
1000 times two-fifths divided by StartFraction 13 Over 2 EndFraction
1000 times three-fifths times StartFraction 13 Over 2 EndFraction
1000 times three-fifths divided by StartFraction 13 Over 2 EndFraction

Answers

1000 times three-fifths divided by Start Fraction 13 Over 2 End Fraction is the required expression.

What is Expression?

An expression is a combination of numbers, variables and operators.

Given that,

Maria has already written Two-fifths of her 1,000 word essay.

It means she has completed 2/5 of essay.

She has 3/5 more to do.

she continues writing at the same pace of 6One-half words per minute

So Her speed is 13/2 words per minute.

So 1000*3/5 (600 words) at 13/2 words per minute

we need to divide the number of words by the speed to work out the time: 1000*3/5/(13/2),

Hence 1000 times three-fifths divided by Start Fraction 13 Over 2 End Fraction is the required expression.

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Answer:

c

Step-by-step explanation:

Tell whether the data in the table can be modeled by a linear equation. Explain. A table listing pairs of x and y values. First pair. Negative 3 and 16. Second pair. Negative 1 and 10. Third pair. 1 and 4. Fourth pair. 3 and negative 2. Fifth pair. 5 and negative 8. The data be modeled by a linear equation because the rate of change constant. Question 2 If possible, write a linear equation that represents y as a function of x. If not possible, leave blank.

Answers

The table is a linear function and the equation is y = -3(x - 1) + 4

How to determine if the table represents a linear equation?

From the question, we have the pairs to be

First pair = (-3, 16)Second pair.= (-1, 10)Third pair = (1, 4)Fourth pair = (3, -2)Fifth pair = (5, -8)

From the above representations, we can see that:

As the values of x increase by +2, the values of y constantly increase by -6

This means that the table has a constant rate

By the definition of a linear function, the table represents a linear function

The linear equation of the function

In (a), we have

x = +2

y = -6

The slope is calculated as

Slope = y/x

So, we have

Slope = -6/2

Evaluate

Slope = -3

The equation is then calculated as

Y = Slope * (X - x) + y

Where

(x, y) = (1, 4)

So, we have

y = -3(x - 1) + 4

Hence, the linear function is y = -3(x - 1) + 4

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Select the correct answer.
Which of the following represents a function?
A. The first graph
B. The second graph
C. {(0,1), (3,2), (-8,3), (-7,2), (3,4)}
D.
x -5 -1 9 8 -1
y 1 7 23 17 1

Answers

The relation that represents a function is given as follows:

B. The second graph.

When does a relation represents a function?

A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.

For a point in the standard format (x,y), we have that:

x is the input.y is the output.The meaning is that the input given by the x-coordinate is mapped to the output given by the y-coordinate.

In a graph, the equivalent to this is that there can be no vertically aligned points.

Then, for the options in this problem, we have that:

a does not represent a function, as the input -1 is mapped to two outputs, meaning that there are vertically aligned points.b represents a function, as each input value(-4, 9, 13 and -7) is mapped to only one output.c does not represent a function, as the input 3 is mapped to two outputs.d does not represent a function, as the input -1 is mapped to two outputs.

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what is the answer
5+3=3+5

Answers

Answer:

They are equal

Step-by-step explanation:

5+3=8 and 3+5=8

If you are seeking the answer in terms of evaluation, then the answer would be 8 = 8. Both sides of the equation are equal, so in addition to this, the given equation is true.

5 + 3 = 8

3 + 5 = 8

So, if you were to attempt breaking down the equation, you could easily write it as 8 = 8.

Hope this helps!

The cost of mailing a package is proportional to the weight of the package. The proportional relationship can be represented with the equation c = 0.4w, where c represents the total cost and w represents weight in ounces. A graph for the equation is shown.

graph with x axis labeled weight in ounces and y axis labeled cost in dollars, with a line from 0 comma 0 going through 2 comma 0.8

Which of the following statements is true about the graph shown?

The graph is incorrect and the line should go through the point (0.4, 1).
The equation c = 0.4w is correctly represented by the graph.
The x-axis and y-axis are labeled incorrectly.
The graph does not show a proportional relationship.

Answers

Among the given statements The equation c = 0.4w is correctly represented by the graph is correct.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A proportional relationship graph between two variables is a relationship where the ratio between the two variables is always the same.

By given the equation c = 0.4w, where c represents the total cost and w represents weight in ounces.

Given that graph with x axis labeled weight in ounces and y axis labeled cost

Let us construct a table

Weight(x)   1          2

Cost (Y)     0.4      0.8    

As given graph with x axis labeled weight in ounces and y axis labeled cost in dollars, with a line from 0 comma 0 going through 2 comma 0.8

The equation c = 0.4w is correctly represented by the graph.

Hence among the given statements The equation c = 0.4w is correctly represented by the graph is correct.

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What’s the answer plsss

Answers

Answer:

option a is the right answer .

Step-by-step explanation:

Cos theta = B/h = 8/21

theta = 67.6 °

Step-by-step explanation:

imagine the triangle being flipped upwards around DE, so that F is on top instead of on the bottom.

then you see clearly that

DF (21) is the radius of the trigonometric circle,

DE is cos(angle D)×radius,

EF (8) is sin(angle D)×radius.

so,

8 = sin(angle D)×21

sin(angle D) = 8/21 = 0.380952381...

angle D = 22.39268781...° ≈ 22.4°

and so, something is wrong with your problem definition.

the answer options seem to aim for angle F, for which EF (8) is the cosine × radius.

but for angle D EF is clearly the sine × radius.

and for answer option b (20.9°) EF would have to be about 7.5 units long (with the radius DF still being 21). that is all too much off.

your teacher made a mistake. send him/ her my regards.

the area of a rectangular garden in square is xsquare -5x-300 If x=45 what is the width and the height of the garden 12a.widthheight 12b.please pot it step by step show all your work thank you

Answers

If a rectangle has an area of A and sides b and h, then:

[tex]A=b\cdot h[/tex]

Solving for the base:

[tex]b=\frac{A}{h}[/tex]

Basically, the sides b and h could have any value provided that b*h=A.

Nevertheless, this problem seems to want from us to factorize the expression:

[tex]x^2-5x-300[/tex]

So that each side is a binomial.

Part a)

To factorize that expression, find two numbers so that if they are added up, the sum is equal to -5, and if they are multiplied, the product is equal to -300.

Since the product is negative, one number must be negative. Since the sum is negative, the biggest number should be the negative one.

Consider the factors of 300:

[tex]300=2\cdot2\cdot3\cdot5\cdot5[/tex]

Using those factors, we can find pairs of numbers that give 300 as a result from multiplying.

After a bit of trial and error, notice that 15*20=300. If we choose 20 as the negative number, then 15*(-20)=-300 and 15+(-20)=-5. Therefore:

[tex]x^2-5x-300=(x+15)(x-20)[/tex]

So, we can choose the width and the height to be those factors. Since (x+15) is greater then (x-20), then:

[tex]\begin{gathered} \text{Width}=x+15 \\ \text{Height}=x-20 \end{gathered}[/tex]

Part b)

If x=45, then:

[tex]\begin{gathered} \text{Width}=60feet \\ \text{Height}=25feet \end{gathered}[/tex]

gary gets an average of 15 text messages during his 8 hour work day. in order to find the probability that gary will get exactly 3 text messages in a 2 hour portion of his work day using the poisson distribution, what is the time interval of interest?

Answers

The probability that Gary will get exactly 3 text messages in a 2-hour portion of his work day using the Poisson distribution, what is the time interval of interest: 2 hours

Gary will get calls according to Poisson distribution with an average # of calls per hour = 15.

Let x be the Poisson random Variable Such that X ~Poisson (15).

We need to find P(x≤3) in 2 hours.

Thus, the time interval of interest is 2 hours.

What is probability ?

Probability is the likelihood  of an event occurring. It can range from an impossible event  to a probability to an absolute certainty. In mathematics, probability is on a scale of 0-1. Zero means the event is impossible, like rolling  seven dice with only the numbers 1-6. One is an event that will happen, that's for sure. An example of a specific event is tomorrow is Friday if today is Thursday. It will definitely  happen. The median is 0.5 or half and these events are equally likely. A good example of half probability  is tossing a coin. It gets straight heads or tails.

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Write the equation in the form of f(x) for the following problems. You have solutions of: x=-4 and 3 and a point at (0,-60).

Answers

Equation in the form of f(x) for the solutions of x=-4 and x=3 and a point (0,-60) is equal to f(x) = 5(x+4)(x-3) .

As given in the question,

For the function f(x):

Standard form of the equation with solution x =a and x=b is:

f(x) = k(x-a)(x-b)

Solutions for the given function f(x) is x =-4 and x=3 and a point (0,-60)

is given by:

f(x) = k(x-(-4))(x-3)

     = k(x+4)(x-3)

Point at (0,-60) we get,

-60 = k ( 0+4)(0 -3)

⇒-60 = -12k

⇒ k =5

Required equation is :

f(x) = 5(x+4)(x-3)

Therefore, equation in the form of f(x) for the solutions of x=-4 and x=3 and a point (0,-60) is equal to f(x) = 5(x+4)(x-3) .

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Please help me find the quadratic inequality for this
y ≥ x2 - 4x + 1

Answers

Answer:

x/> -y/2 + 1/2

Evelyn sells beauty supplies. She gets 5% commission for selling beauty products. How much commission will she receive if she sells 1,648 worth of beauty products?

Answers

Given:

Evelyn sells beauty supplies. She gets 5% commission for selling beauty products.

Required:

To find the commission she receive if she sells $1,648 worth of beauty products.

Explanation:

The commission she receive if she sells $1,648 worth of beauty products is

[tex]\begin{gathered} =\frac{5}{100}\times1648 \\ \\ =82.4 \end{gathered}[/tex]

Final Answer:

$82.4

In Mr. Patterson’s class, the average score among students who studied for an exam was 78. The average among students who did not study was 54. The overall class average was 70. What portion of the class did not study? Express your answer as a common fraction.

Answers

none of the kids easy easy easy easy

One of the rows in the table has an error and does not have the same ratio as the other rows. Which explains how to correct the error in the table?

Conversion Chart

Feet
Centimeters
Row 1
3
91.44
Row 2
6
172.88
Row 3
7
213.36
Row 4
9
274.32
Row 1 should show 3 feet is equivalent to 92.44 centimeters.
Row 2 should show 6 feet is equivalent to 182.88 centimeters.
Row 3 should show 7 feet is equivalent to 223.36 centimeters.
Row 4 should show 9 feet is equivalent to 284.32 centimeters.

Answers

The correct option regarding the error in the proportional relationship is given as follows:

Row 2 should show 6 feet is equivalent to 182.88 centimeters.

Direct proportional relationship

A direct proportional relationship is a function in which the output variable y is calculated by the multiplication of the input variable x and the constant of proportionality k, as follows:

y = kx.

In the context of this problem, the input and the output are given as follows:

Input: Length in feet.Output: Length in centimeters.

The constant is calculated dividing the output by the input of each of the lengths, hence:

Row 1: k = 91.44/3 = 30.48.Row 2: k = 172.88/6 = 28.81.Row 3: k = 213.36/7 = 30.48.Row 4: k = 274.32/9 = 30.48.

Due to the different ratio, the mistake is in Row 2, and the correct value should be of:

6 x 30.48 =182.88 centimeters.

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Pythagorean Theorem1 2 3 4 5OA 29.5 unitsOB23.4 unitsC. 24.4 unitsOD. 33.4 units

Answers

we know that the perimeter is the sum of all the sides, therefore:

[tex]\begin{gathered} P=10+9+3+\sqrt{7^2+9^2} \\ P=22+\sqrt{49+81} \\ P=22+\sqrt{130} \\ P=22+11.4=33.4 \end{gathered}[/tex]

Therefore the answer is D. 33.4 units

Rewrite the following equation as a function of x.
1+ 3y - 29 = 0
O A. f(x)
f(x) = 9,2808 2
OB. f(x) = -9,280 +
O c. f(x) = -9,280 + 20
O D. f(x) = 9,280
1
20x

Answers

1. y = 9280 - 20x

2. f(y) = 6.37y - 3

Step-by-step explanation:

1. The equation is given to be

Now, rearranging the function we can write  

⇒ y = 9280 - 20x

Hence, this is the equation as a function of x. (Answer)

2. The given function is y - 6.37x = - 3

Therefore, we can write, y = 6.37x - 3

Hence, f(x) = 6.37x - 3

⇒ f(y) = 6.37y - 3.

Hence, option D is true. (Answer)

3/4 of a number is 30. What is the number? )) What is the number?

Answers

To find the number we can create the following equation and solve for x:

[tex]\frac{3}{4}\cdot x=30[/tex]

Let x be the missing number, use inverse operations to solve the equation:

[tex]\begin{gathered} x=30\cdot\frac{4}{3} \\ x=\frac{120}{3} \\ x=40 \end{gathered}[/tex]

The number is 40.

( 9 times 10 to the power of -7) (5 times 10 to the power of -4)

Answers

9 x 10^-7 = 9/10^7
5 x 10^-4 = 1/2000

Consider the arithmetic sequence an = 5 + 3 (n − 1)
a. What are the first 5 terms of the sequence?
b. What is the 9th term in the sequence?
c. Rewrite the explicit formula as a function.
d. What is f(15)?
e. f(n) = 65 what is n?

Answers

The answers to the subparts of the arithmetic sequence are shown:

(A) a₅ =  17(B) a₉ = 28

What is an arithmetic sequence?A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.

So, the formula is: aₙ = 5 + 3 (n − 1)

Where n is the number of terms.

So, 5th term or n = 5:

a₅ = 5 + 3 (n − 1)a₅ = 5 + 3 (5 − 1)a₅ = 5 + 3 (4)a₅ = 5 + 12a₅ =  17

Similarly, the 9th term or n = 9:

a₉ = 5 + 3 (n − 1)a₉ = 5 + 3 (9 − 1)a₉ = 5 + 3 (8)a₉ = 5 + 24a₉ = 28

Therefore, the answers to the subparts of the arithmetic sequence are shown:

(A) a₅ =  17(B) a₉ = 28

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The correct question is given below:

Consider the arithmetic sequence an = 5 + 3 (n − 1)

a. What are the first 5 terms of the sequence?

b. What is the 9th term in the sequence?

Find (3.0x10^15) over (5.0x10^6)(2.4x10^3), expressed in scientific notation.

Answers

The result of 3.0×[tex]10^{15}[/tex] over 5.0×[tex]10^6[/tex] in scientific notation is 6×[tex]10^8[/tex]

The first number = 3.0×[tex]10^{15}[/tex]

The second number = 5.0×[tex]10^6[/tex]

3.0×[tex]10^{15}[/tex] over 5.0×[tex]10^6[/tex] means we have to divide the first number by the second number

The scientific notation is the a method of representing the a very large number or a very small number in a simple way. The general from of the scientific notation is when a number from 1 to 10 is multiplied by the power of 10.

Here we have to divide 3.0×[tex]10^{15}[/tex] by 5.0×[tex]10^6[/tex]

3.0×[tex]10^{15}[/tex]  ÷ 5.0×[tex]10^6[/tex] = (3/5) × [tex]10^{15-6}[/tex]

= 0.6×[tex]10^9[/tex]

= 6×[tex]10^8[/tex]

Hence, the result of 3.0×[tex]10^{15}[/tex] over 5.0×[tex]10^6[/tex] in scientific notation is 6×[tex]10^8[/tex]

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Explain the meaning of the expression tan 32°= 0.624

Answers

The meaning of the expression tan 32°=0.624 is the adjacent side of ratio is 0.624m.

What is ratio?
the ratio is the number that can be used to express one is  quantity as a fraction of the  other ones. The two of  numbers in a ratio can only be compared when they have the same unit. We are  make use of ratios o compare two things.

Sol- let's take an example first

In a triangle  abc

C is 32°

tan 32° = AB/BC =0.624m

By applying the theorem we know that

In a right triangle , tan 32° is the ratio of the constant to the adjacent side the ratio is

0.624 m.

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Tyee has $720 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $401.83. He buys 4 bicycle reflectors for $12.85 each and a pair of bike gloves for $23.83. He plans to spend some or all of the money he has left to buy new biking outfits for $40.49 each. Use the drop-down menu below to write an inequality representing oo, the number of outfits he can buy while staying within his budget.

Answers

The inequality that represents the number of outfits he can buy while staying within his budget is M ≤ 6.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

Total amount to spend = $720

Cost of bicycle = $401.83

Cost of bicycle reflector = $12.85 ( 4 reflector bought )

Cost of bike cloves = $23.83

Cost of biking outfits = $40.49

The number of possible biking outfits:

401.83 + 4 x 12.85 + 23.83 + M40.49 ≤ 720

401.83 + 51.4 + 23.83 + M40.49 ≤ 720

477.06 + M40.49 ≤ 720

M40.49 ≤ 720 - 477.06

M40.49 ≤ 242.94

M ≤ 242.94 / 40.49

M ≤ 6

M = Number of possible outfits

Thus,

The inequality that represents the number of outfits he can buy while staying within his budget is M ≤ 6.

Learn more about inequalities here:

https://brainly.com/question/20383699

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8v < 40 solve the inequality for v and simplify your answer as much as possible

Answers

Hey there!


8v < 40

DIVIDE 8 to BOTH SIDES

8v/8 < 40/8

v < 40/8

v < 5


It is an open circle starting at 5 and it is going down to the left side of the number line


Therefore, your answer should be:

v < 5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

determine the equation of line from the graph

Answers

Answer:

y=2x+0

Step-by-step explanation:

This is slope intercept form. The slope is 2 you can tell by the two points on the graph at (0,0) and (1,2). The points move up 2 and over 1. That makes the slope 2/1 but since the bottom half is just a one it can be simplified to 2.

And the +0 just means that its y intercept is 0,0

however it is not required to put +0 at the end

Answer:y=2x+0

Step-by-step explanation:

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