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3 years ago

9

The graph shows the favourite colours chosen by some middle school students. Which statement is supported by the information in

the graph?

1 answer:

ivanzaharov [21]3 years ago

6 0

Answer:

A is incorrect. 34% of the students chose red, yellow, or orange.

Step-by-step explanation:

answer will be updated when more options are given.

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Can someone help me Determine the intercepts of the line.

slavikrds [6]

Greetings!

To find the y-intercept, we can arrange the equation in slope y-intercept form:
$y=mx+b$

Rearrange:
$y+1=3(x-4)$

$y+1=3x-12$

$y=3x-13$

The y-intercept is: -13
$\boxed{(0,-13)}$

To find the x-intercept, we can input the value <<0>> in the place of y, as every x-intercept only occurs when y=0:
$(0)=3x-13$

Solve for x:
$0=3x-13$

$13=3x$

$\frac{13}{3}= \frac{3x}{3}$

$x=\frac{13}{3}$

The x-intercept is: $\frac{13}{3}$
$\boxed{(\frac{13}{3},0)}$

I hope this helped!
-Benjamin

5 0

3 years ago

A cylinder has a diameter of 40 feet and a height of 32 feet. What is the surface area of the cylinder? Express the answer in

mafiozo [28]

Answer:

$6524.51 ft^2$

Step-by-step explanation:

The surface area of a cylinder is given as;

$SA = 2\pi rh + 2\pi r^2$

where r = radius

h = height

The cylinder has a height of 32 feet and a diameter of 40 feet. This means that the radius is:

40 / 2 = 20 feet

The surface area is therefore:

$SA = (2*\pi* 20 * 32) + (2*\pi *20^2)\\\\SA = 4021.24 + 2513.27\\\\SA = 6524.51 ft^2$

The surface area of the cylinder is $6524.51 ft^2$ .

5 0

3 years ago

Please help! If possible please show your work. Thank you in advance!! :D

Rudiy27

Answer:

(-4)³ = -64
-64

Step-by-step explanation:

The first step in solving the equation is to cube both sides:

(∛x)³ = (-4)³ . . . . . = (-4)(-4)(-4) = 16(-4) = -64

x = -64 . . . . . simplified

__

We're not sure what "checking" is supposed to involve here. Usually, one would check the answer by seeing if a true statement is made when the answer is put into the original equation.

∛(-64) = -4 . . . true

Many calculators will not compute √(-64) because they compute roots using logarithms. The log of a negative number is not defined.

So, the way one would check this is to cube both sides, which is how we got the answer in the first place. We expect the same result from doing the same operation again, so it isn't really a check.

6 0

2 years ago

Taylor needs to repair her car but cannot spend more than $260 for the repairs. The part needed for the repair will cost $80 and

Oksanka [162]

Answer: 6 hours

Step-by-step explanation:

Taylor cannot spend over $260.

Subtract the cost of the part needed for the repair:

= 260 - 80

= $180

$180 is left for fixing the car after buying the part.

As the labor costs $30 and now she cannot exceed $180 for labor, the total number of hours the mechanic can work is:

= 180 / 30

= 6 hours

6 0

3 years ago

Charlie is evaluating the product of 0.09 and 0.05. He multiplies, and before placing the decimal, arrives at an answer of 45. A

yKpoI14uk [10]

Answer:

Result = 0.0045

Step-by-step explanation:

Given

$0.09 * 0.05$

Required

Determine the result

Following Charlie's steps:

0.09 is a 2 decimal placed digit

and

0.05 is a 2 decimal placed digit

So, the product is as follows:

9 --------- 2 decimal place

5 --------- 2 decimal place

------------------------------------------

45 --------- 4 decimal place

Shifting the decimals in 45 to 4 decimal places will give us: 0.0045

<em>Hence, the final answer is 0.0045</em>

4 0

2 years ago