3) We all know how toilet paper has been horded during the pandemic. Your teacher has cleared out a closet to hoard TP. Using the Fermi process, you need to estimate the number of rolls of TP she can fit into a rectangular prism section of a closet with dimensions of 36 in. By 108 in. By 36 in. Measure a roll of TP at your home, remember it is a cylinder you need its radius and height to calculate its size. Radius: __2in_______ Height: _5in___________ About how many rolls of TP can fit into the closet section?

Answer:

[tex]slope = \frac{y_2 - y_1}{x_2-x_1}\\\\4 = \frac{p-2}{1-4} \\\\4 \times -3 = p -2\\\\-12 + 2 = p \\\\p = -10 \\\\Equation \ of \ line : \\\\(y -y_1) = m(x - x_1)\\\\y - 2= 4(x-4)\\\\y - 2 = 4x -16\\\\y = 4x -14[/tex]

Hi there! The slope formula is:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

We know that the slope is 4 but we are missing the value of p. (Define m = slope)

What we have now are:

We are going to substitute these values and solve the equation for p-term.

[tex] \large{4 = \frac{2 - p}{4 - 1} } \\ \large{4 = \frac{2 - p}{3} } \\ \large{4(3) = \frac{2 - p}{3} (3)} \\ \large{12 = 2 - p} \\ \large{p = 2 - 12 \longrightarrow \boxed{p = - 10}}[/tex]

Hence, the value of p is -10.

Next, we have to write the equation of a line in point-slope form. The point-slope form is:

[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]

Define that (x1, y1) = ordered pairs

Since we have two given points, we can either use the first point or second point. Both work.

First Point

For our first ordered pairs (4,2), substitute x1 = 4 and y1 = 2 in the equation.

[tex] \large{y - 2 = 4(x - 4)}[/tex]

Hence, the equation of a line in point-slope form as in (4,2) is y-2=4(x-4)

Second Point

For our second ordered pairs (1,p), we know that p = -10 from the equation that we solved. Therefore (1,p) = (1,-10). Substitute x1 = 1 and y1 = -10 in the equation.

[tex] \large{y - ( - 10) = 4(x - 1)} \\ \large{y + 10 = 4(x - 1)}[/tex]

Hence, the equation of a line in point-slope form as in (1,-10) is y+10 = 4(x-1)

Answer

Both equations work for point-slope form.

Questions can be asked through comment.

Hope this helps, and Happy Learning! :)

Answer:

Step-by-step explanation:

kk

Answer:

6.4082, 6.509, 6.58, 6.8

Step-by-step explanation

:)

Answer: one, sorry wrong person

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

2m + 4 = 6

2m = 6 - 4

2m = 2

m = 1

the answer is one.. ....

Answer:

friend me on here and imma send you the link Step-by-step explanation:

Answer:

The correct answer is 70

Step-by-step explanation:

Answer:

the other leg = 2 root 14, which is roughly 7.48331 cm

Step-by-step explanation:

9squared = 5squared + x

81-25=xsquared

squareroot 56 = 2 root 14

Answer: 125

Step-by-step explanation: 5•5•5

Answer:

k = - 3.6

Step-by-step explanation:

Given x = - 2 is a zero then f(- 2) = 0

Substitute x = - 2 into the polynomial and equate to zero

(- 2)² - 7(- 2) + 5k = 0

4 + 14 + 5k = 0

18 + 5k = 0 ( subtract 18 from both sides )

5k = - 18 ( divide both sides by 5 )

k = - 3.6

Answer:

Step-by-step explanation:

6^10 can also be written as

b.6^8.6^2

6^8+2

610

d.(6^10)^1

6^10*1

6^10

Answer:

B and d are correct because does are the only two that equal 6^10 ( or 60466176 )

Step-by-step explanation:

Answer:

mean=sum of data/no of data

=5+8+1+7+4+3+2+2/8

=32/8

4

Step-by-step explanation:

Therefore mean=4

Answer:

hope this helps <33 (55.460)

Step-by-step explanation:

 2.35

x 23.6

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

1      23

1 . 4 1 0

1    1

7 . 0 5 0

1

47 . 0 0 0

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

1

5 5 . 4 6 0

Answer:

Here we have the sequence:

6, 12, 18, 24

We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.

To check this, let's find the difference between the consecutive terms:

12 - 6 = 6

18 - 12 = 6

24 - 18 = 6

So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 6.

a) Then the next number in the sequence will be equal to the previous number plus 6, this is:

24 + 6 = 30

The next number in the sequence is 30

b) The term-to-term rule is the rule that defines the n-th term based on the previous terms.

Here we already know that each term in this sequence is the previous one plus six, so we can write this as:

Aₙ = Aₙ₋₁ + 6

c) The position-to-term rule is the general one.

Here we need to know that, the first term, A₁ = 6

Then, the n-th term will be A₁ plus (n - 1) times 6.

Then the rule is:

Aₙ = A₁ + (n - 1)*6

Replacing A₁ by its value, the rule becomes:

Aₙ = 6 + (n - 1)*6

Answer:

her first step was) Combining like terms= 12+2

her second step was) Combining like terms/ subtracting 5x from 3x= 5x-3x

her third step was) Adding to both sides 18= 14+18

her last step was) isolating the variable/ dividing 2 from both sides= 32/x.

Hope You Got It!

PLEASE MARK ME AS THE BRAINLIEST

Answer:

37/12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

1/2w + 3

w = 1/6

Step 2: Evaluate

Answer:

1)non linear

2)linear

3)non linear

4) not a function

Answer:

[tex]10 \frac{23}{40}[/tex]

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over 1000. Reduce the fraction.

Answer:

423/40 or if it can't be improper than 10 23/40

Answer:

About 13.45 miles ( rounded )

Step-by-step explanation:

You would use the pythagorean theorem to solve this. ([tex]a^{2}[/tex]+ [tex]b^{2}[/tex] = [tex]c^{2}[/tex])

[tex]a^{2}[/tex] would be one length of that triangle, we'll use 9.

[tex]b^{2}[/tex] would be the other length of that triangle, we'll use 10.

So, now you have to square both of them.

[tex]9^{2}[/tex] = 81 ( 9 x 9 )  [tex]10^{2}[/tex] = 100 ( 10 x 10 )

Which you will get 81 and 100. Then you add those two numbers together.

100 + 81 = 181

Now that you have 181, you have to square root 181.

[tex]\sqrt{181}[/tex]

With that you should get 13.45 miles. (rounded)

Answer:

1797.92

Step-by-step explanation:

The closing cost for the home percent mortgage can be calculated as follows

= 0.01×1.5×80,528

= 1207.92

1207.92+375+215

= 1797.92

Hence the closing cost for the home purchase is 1797.92

Answer:

$1,797.92

Step-by-step explanation:

Answer:

0.05%

Step-by-step explanation:

Hi there!

[tex]\large\boxed{x = 2.5}[/tex]

We can solve for x by using an elimination of variables.

2x + 5y = 20

-2x + 10y = 25

Add the two equations to eliminate x:

0x + 15y = 45

15y = 45

y = 3

Substitute this value of y into an equation to solve for x:

2x + 5(3) = 20

2x + 15 = 20

2x = 5

x = 2.5

Answer:

I believe it is (5/2,3)

Step-by-step explanation:

Hope this works for u :)

Answer:

141

Step-by-step explanation:

Answer:

Step-by-step explanation:

18+7+5^3-9

25+125-9

150-9

141

Answer:

16 1/2 feet

Step-by-step explanation:

The above question is calculated as:

1/2 inch = 1 1/2 feet.

5 1/2 inches = x

Cross Multiply

1/2 inch × x = 5 1/2 inch × 1 1/2 feet

x = 5 1/2 inch × 1 1/2 feet/ 1/2 inch

x = 11/2 × 3/2 ÷ 1/2

x = 11/2 × 3/2 × 2/1

x = 33/2 feet

x = 16 1/2 feet

Therefore, the actual length of the kitchen is 16 1/2 feet

Answer:

115

Step-by-step explanation:

When multiplying a fraction by a fraction, you multiply the numerator by the numerator and same with the denominator. 13 times 4 =52,  7 times 9=63, 52+63=115.  Hope this helps!