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1 year ago

Janelle is painting a spherical model of a human cell for a science fair. She uses 615.44 square inches of paint to

Mathematics

1 answer:

liberstina [14]1 year ago

3 0

The diameter of the cell model according to the taks content is; 14in.

<h3>Diameter of the cell model</h3>

Volume of paint = 615.44 square inches

π = 3.14

Volume of a sphere = 4πr²

615.44 = 4 × 3.14 × r²

615.44 = 12.56/r²

r² = 615.44 ÷ 12.56

r² = 49

r = 7

Hence, the diameter of the cell is; 2 × r = 2 × 7 = 14in.

Learn more about volume of sphere:

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K/2 + 1/2 = 3<br><br> solve for k

Irina18 [472]

Answer:

k = 5

Step-by-step explanation:

Subtract both sides by 1/2:

k/2 = 5/2

Multiply both sides by 2:

k = 5

6 0

2 years ago

Write the equation of a line (in slope /intercept form) that is parallel to -2x + 4y = 100 and goes through the (8, -7)

dangina [55]

Answer:

y = ½x - 11

Step-by-step explanation:

The equation of the line that goes through (8, -7) and is parallel to -2x + 4y = 100, will have the same slope as the line, but different y-intercept (b).

Let's find the slope of -2x + 4y = 100 by rewriting in the slope-intercept form.

-2x + 4y = 100

Add 2x to both sides

4y = 2x + 100

Divide both sides by 4

y = 2x/4 + 100/4

y = ½x + 25

The slope of the given line is ½. Since the line that goes through (8, -7) is parallel to -2x + 4y = 100, therefore the slope (m) is also ½.

To find the y-intercept (b), substitute m = ½, x = 8, and y = -7 into y = mx + b.

-7 = ½(8) + b

-7 = 4 + b

-7 - 4 = b

-11 = b

b = -11

Substitute m = ½ and b = -11 into y = mx + b to get the equation of the line that is parallel to -2x + 4y = 100.

y = ½x + (-11)

y = ½x - 11

6 0

3 years ago

The graph shows the charges of an instructor. The instructor charges an initial fee and then an hourly rate of $8.00 an hour for

Tasya [4]

Answer:

The instructor’s initial charge is $20

see the attached figure

Step-by-step explanation:

Let

x ----> the time in hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or the unit rate of the linear equation

b is the y-intercept or initial value (in this problem is the instructor’s initial charge)

we have

The slope is equal to the hourly rate

$m=\$8.00\ per\ hour$

substitute

$y=8.00x+b$

To find out the y-intercept join the given points in the graph and find out the value of y when the value of x is equal to zero

see the attached figure

The y-intercept is the point (0,20)

therefore

The instructor’s initial charge is $20

<u><em>Verify</em></u>

take any point on the graph

(5,60)

For x=5, y=60

substitute in the linear equation and solve for b

$60=8.00(5)+b$

$60=40+b$

$b=\$20$ ----> is ok

therefore

The instructor’s initial charge is $20

4 0

3 years ago

Read 2 more answers

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Ipatiy [6.2K]

Answer: 1 cup of macaroni for 3 cups of water

Step-by-step explanation:

9/27 divided 3=1 cup/3 cup

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2 years ago

At a movie theater, Ellie paid $8 for her ticket.Candy at the theater is 3.25.she had a total of $25 to spend. What is the maxim

BartSMP [9]

Answer:

Step-by-step explanation:

Answer is 5 candies.

$25 is her total amount so you need to subtract the $8 that she paid for her ticket with.

The answer to that subtraction is $17.

With $17, you divide by $3.25 (price of candy) to get the number 5.2. Except, you can't buy a small bit of a candy, so you would be able to buy 5 in total.

6 0

3 years ago