21. A farmer is filling a hole in his farm with
dirt. He measures the hole to be in the shape
of a rectangular prism measuring 12 feet by 4
feet by 3 feet. If the cost of dirt is $1.25 per
cubic foot, then how much will he spend?

Answer:

Slope of the tangent line at x=-1

[tex](\frac{dy}{dx})_{x=-1} = e^{-5}[/tex]

Step-by-step explanation:

Explanation:-

Given function

                            y = f(x) = e ˣ⁻⁴  ...(i)

       Differentiating equation (i) with respective to 'x' , we get

                         [tex]\frac{dy}{dx} = e^{x-4} \frac{d}{dx} (x-4)[/tex]

                       [tex]\frac{dy}{dx} = e^{x-4} (1)[/tex]

Slope of the tangent line

                       [tex](\frac{dy}{dx})_{x=-1} = e^{-1-4} = e^{-5}[/tex]

Answer:

one solution

Step-by-step explanation:

Given

17 - [tex]\frac{1}{9}[/tex] x = 10 ( subtract 17 from both sides )

- [tex]\frac{1}{9}[/tex] x = - 7 ( multiply both sides by - 9 to clear the fraction )

x = 63

Answer:?

Step-by-step explanation:

Answer: scanning, predicting, identifying, decision making, and executing

Step-by-step explanation:

Answer:

-5, -2, 1, 3.

Step-by-step explanation:

This is how you would put them in order from least to greatest.

Answer:

-5,-2,1,3

Step-by-step explanation:

Hope it helps

Answer:

*sum

Step-by-step explanation:

i am not sure. But I just wanted to correct it for someone else

Answer:5

Step-by-step explanation:

Answer:

W = 10 cm

Step-by-step explanation:

Area of a Triangle and a Rectangle

The area of a triangle of base B and height H is:

[tex]\displaystyle A_t=\frac{BH}{2}[/tex]

The area of a rectangle of width W and length L is:

[tex]A_r=WL[/tex]

We are given the base of the triangle B=6 cm and the height H=8 cm, thus the area is:

[tex]\displaystyle A_t=\frac{6*8}{2}= 24\ cm^2[/tex]

The area of the rectangle is 5 times the area of the triangle, thus:

[tex]A_r=5*24\ cm^2=120\ cm^2[/tex]

If we know the area of the rectangle and its length, we can find the width by solving for W:

[tex]\displaystyle W=\frac{A_r}{L}[/tex]

The rectangle has a length of L=12 cm, thus:

[tex]\displaystyle W=\frac{120}{12}=10\ cm[/tex]

W = 10 cm

Answer:

Step-by-step explanation:

The answer is 10 because 7 + 3 equals 10!

This can be proven by adding 7 + 3 or by subtracting in a certain way.

7 + 3 = ?

7 + 1 = 8

7 + 2 = 9

7 + 3 = 10

You can show more work by subtracting your answer or 10 in this case, which means that you subtract 7 by 10 or 3 by 10, either way is ok.

If you subtract 7 by 10, ( 10 - 7 ) then you get 3

If you subtract 3 by 10, ( 10 - 3 ) then you get 7

If the number you subtracted matches the number that you didn't subtract, then your answer is correct.

Hope this helps! <3

Answer:

66.25 fluid ounce

Step-by-step explanation:

Given that :

Capacity of original container = 53 fluid ounces

Percentage addition of new container = 25%

Capacity of new container :

Capacity of original container * ( 1 + percentage addition)

53 * ( 1 + 0.25)

53 * (1.25)

= 66.25 fluid ounce

Answer:

option 3-- 16 pizzas

Step-by-step explanation:

divide 48 by 3 = 16

Answer:

16 pizzas will feed 48 people

Step-by-step explanation:

If 1 pizza feeds 3 people it will take 16 pizzas to feed 48.

48/3=16

Answer:

3.77 should be added

hope it helps.

Answer:

823/30

or 27 13/30

decimal: 27.43

Step-by-step explanation:

(25+7)+ (1/6 + 2/5)

32+ (5/30 + 12/30)

32+ 17/30

= 32 17/30

60- 32 17/30

= 1800/30 - 977/30

= 823/30

= 27 13/30

Answer:

f(x) = 3(x-5) + 2

Step-by-step explanation:

The x coordinates are all shifted to the right, which is the positive direction. Subtracting 5 from the x coordinate is a horizontal right shift.

Answer:

C

Step-by-step explanation:

Expand the factors and compare the coefficients of like terms.

Given

(mx + 2)(3x - 5) ← expand using FOIL

= 3mx² - 5mx + 6x - 10

Compare to 12x² - 14x - 10

For the 2 to be equal, then the coefficients of like terms must be equal.

Compare coefficients of x² terms

3m = 12 ( divide both sides by 3 )

m = 4 → C

Angle 1 is 112

Angle 2 is 68

Angle 3 is 90

Angle 4 is 90

Angle 5 is 22

Angle 6 is 158

Answer:

Approximately 18 years

Step-by-step explanation:

Triple: 997.90*3. which is 2993.7

997.90*0.17*x=2993.7

(x is time)

169.643x=2993.7

x=2993.7/169.643

x= approximately 17.64....... years/

18 years.

Hope this helps plz hit the crown :D

Answer:

4.79 dollars.

Step-by-step explanation:

7x + 3.62 = 37.15

7x= 37.15-3.62

7x=33.53

x= 33.53/7=4.79 dollars.

Answer:

l=k/4+7/4

Step-by-step explanation:

Answer:

y = 5x - 32

General Formulas and Concepts:

Pre-Algebra

Algebra I

Equality Properties

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

[Point-Slope Form]   y - 3 = 5(x - 7)

Step 2: Rewrite

Answer:

2 * 2 * 5 * 5, or 2^2 * 5^2, or 5^2 * 2^2

Step-by-step explanation:

You can use a factoring tree to find the prime factorization of 100.

                     +------ 100----------------+

                     |                                  |

                    2                           +---50---------+

                                                  |                    |

                                                  2          +----25----+

                                                               |               |

                                                               5              5

The prime factorization of 100 is 2 * 2 * 5 * 5, or 2^2 * 5^2, or 5^2 * 2^2

Step-by-step explanation:

2^2 × 5^2 =

(2×2) × (5×5) =

4 × 25 = 100

5^2 × 2^2 =

(5×5) × (2×2) =

25 × 4 = 100

2*2*5*5=100

2 and 5 are the only prime numbers in this question. 2(2)*5(5) doesnt equal 100.

Answer:

draw a straight line from x point of 2pm up to the line. Then what is the y point of it?

Ill give you an example, for 4pm it's 13C. For 8pm it's 6C. For 9pm it's 8C.

Let me know what you get. And I'll let you know whether it's right or not

Answer:

Emily's rate is 8 minutes per mile while Rob's rate is 6 minutes per mile. Rob spends less time on each mile,  so Rob is faster.

Step-by-step explanation:

30% off means they are paying 70% of the original price.

Sale price = 2.40 x 0.70 = $1.68 for 10 plates

50 plates /  10  = 5

They buy 5 packages of plates.

1.68 x 5 = $8.40

Total price = $8.40

Answer:

Step-by-step explanation:

2.40 X 5 =$12

12 X 0.3=$3.6 off

12-3.6=$8.40

Therefore it'll cost $8.40

Answer:  This is a linear equation. The graph is a diagonal line with a slope of +1. The y-intercept is -1

Step-by-step explanation: The line intersects the y-axis at -1 and the x-axis at +1

Answer:

[tex]h(x)=12x-9[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=4x-2\text{ and } g(x)=-8x+7[/tex]

And we want to find:

[tex]h(x)=f(x)-g(x)[/tex]

So, by substitution:

[tex]h(x)=(4x-2)-(-8x+7)[/tex]

Simplify. Distribute:

[tex]h(x)=(4x-2)+(8x-7)[/tex]

Rearrange:

[tex]h(x)=(4x+8x)+(-2-7)[/tex]

Combine like terms. Hence:

[tex]h(x)=12x-9[/tex]

The answer is 2(x+3)

hope it helps!

Answer:

2x + 6

Step-by-step explanation:

2(x +3)

2x +6

multiply x by 2=2x

multiply 3×2=6

2x +6

Answer:

B

Step-by-step explanation:

x + y = 90

Your x and y will give you a sum of 90

y= 4x + 6

Your y will be 6+ more then 4 TIMES x

therefore you would do 4 times x plus 6 equals y

Answer:

4x−7+6y+2x+x+16−3x

=4x+−7+6y+2x+x+16+−3x

Combine Like Terms:

=4x+−7+6y+2x+x+16+−3x

=(4x+2x+x+−3x)+(6y)+(−7+16)

=4x+6y+9

Answer:

=4x+6y+9

Answer:

your answer should look like this.

Step-by-step explanation:

The horizontal line goes through y-intercept -1/2