Consider the volume of a rectangular pyramid, one whose base is not square. Does changing one of the three variables (length, width, or helght)
by a given fraction have a greater effect on the volume of the pyramid than changing either of the other two variables? That is, which variable, if
any, has the largest influence on the volume? Assume that the other two variables remain constant. Explain your answer.

Answer:

[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]

Step-by-step explanation:

[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]

Answer:

The left side of the equation is ignored

i is treated as -1, which it is not, it is instead the square root of negative 1.

To solve it properly we get:

(2 - 5i)(5 + 2i)

= 10 + 4i - 25i - 10i²

= 10 + 21i + 10

= 20 - 21i

Answer:

The error is that, the student replaced i with -1 which is wrong as i = √-1

And he has replaced i^2 with 1 while i^2 = -1

Step-by-step explanation:

Given two numbers that are being multiplied are:

(2-5i)(5+2i)

We will solve the question to get the right result so that the error can be detected.

So, multiplying both

[tex]= 2(5+2i)-5i(5+2i)\\=10+4i-25i-10i^2\\=10-21i-10(-1)\ \ \ as\ i^2 = -1\\=10-21i+10[/tex]

The error is that, the student replaced i with -1 which is wrong as i = √-1

And he has replaced i^2 with 1 while i^2 = -1

Answer:

1868 is the answer your looking for

Step-by-step explanation:

Answer:

1868

In 1868, the position of county commissioner was added to the elected officials of a county.

Answer:

Volume = 1436.8 cm³

Step-by-step explanation:

Formula for the volume of a sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]

Here, r = radius of the sphere

For a sphere which has the radius = 7 cm

Volume of the sphere = [tex]\frac{4}{3}\pi (7)^3[/tex]

                                     = 1436.76

                                     ≈ 1436.8 cm³

Therefore, volume of the sphere is 1436.8 cm³.

Answer: A

Step-by-step explanation:

Answer: 64

Step-by-step explanation:

angles G and E are congruent, add 58 + 58 then subtract by 180 so sum up 64

Answer:

The option which you chose is absolutely right.

Step-by-step explanation:

h(n) = 3^ n + 3

h(3n) = 3 ^3n + 3

Hope it will help :)

Answer:

3 I believe

Step-by-step explanation:

The factors of 3 are: 1, 3

The factors of 6 are: 1, 2, 3, 6

Then the greatest common factor is 3.

Answer:

3 is the great common factor

Step-by-step explanation:

factors:

3- 1,3

6- 1,2,3,6

hope it helps:))

Answer:

12 miles

Step-by-step explanation:

1.25x + 8 =1.5x+5

1.25x-1.5x=5-8

-0.25x=-3

-0.25x/-0.25x=-3/-0.25

x= 12

Answer:

There are 13 1/2 samples poured from the pitcher

Step-by-step explanation:

1/2 ÷ 6 3/4 = 13.5

Answer:

The interest is: $2550.00

Step-by-step explanation:

I = P x r x t

    P is the principal amount, $12000.00.

   r is the interest rate, 4.25% per year, or in decimal form, 4.25/100=0.0425.

   t is the time involved, 5....year(s) time periods.

   So, t is 5....year time periods.

To find the simple interest, we multiply 12000 × 0.0425 × 5 to get that:

The interest is: $2550.00

Answer:

13r-13n

Step-by-step explanation:

just add 9r+6r get 15r then subtract it by 2r then you get 13r and you can't subtract unlike terms

Answer:

13r-13n

Step-by-step explanation:

6r+9r = 15r

15r-2r = 13r

13r-13n

Step-by-step explanation:

Time taken to complete the race

= Distance / Speed

= 56 miles / (14 miles/hr)

= 4 hours. (B)

Answer:

B. 4 hours

Step-by-step explanation:

If the distance is total of 56 miles and he travels 14 miles per hour,

divide 56/14

56/14=4

4 hours to complete the 56-mile race

Answer:

The polynomials that represents the answer is -2x² - x + 14 ⇒ a

Step-by-step explanation:

Let us solve the question

∵ The expression is 3(x + 2) - 2(x² + 2x - 4)

→ Multiply each bracket by the number before it

∵ 3(x + 2) = 3(x) + 3(2)

∴ 3(x - 2) = 3x + 6

∵ 2(x² + 2x - 4) = 2(x²) + 2(2x) + 2(-4)

∴ 2(x² + 2x - 4) = 2x² + 4x + (-8)

→ Remember (+)(-) = (-)

∴ 2(x² + 2x - 4) = 2x² + 4x - 8

∴ 3(x + 2) - 2(x² + 2x - 4) = (3x + 6) - (2x² + 4x - 8)

→ Multiply the (-) by all the terms in the 2nd bracket

∴ 3(x + 2) - 2(x² + 2x - 4) = 3x + 6 - 2x² - 4x + 8

→ Add the like terms

∵ 3(x + 2) - 2(x² + 2x - 4) = -2x² + (3x - 4x) + (6 + 8)

∴ 3(x + 2) - 2(x² + 2x - 4) = -2x² + (-x) + 14

∴ 3(x + 2) - 2(x² + 2x - 4) = -2x² - x + 14

∴ The polynomials that represents the answer is -2x² - x + 14

The answer is A

as the x+ 4 is when we replace x with 0

x=0

so

y=0+4

=4

So the line of y must intersect at (0,4) coordinate

which is given as in A and should be a positive slope

Answer:

40

her age was 36 she added 4nwhich made 40 then doubles makesn80

9514 1404 393

Answer:

  76

Step-by-step explanation:

For age 'a', the special number was supposed to be ...

  2a +4

Tammi's mother actually calculated it as ...

  2(a +4) = 2a +8

a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.

The special number was supposed to be 80 -4 = 76.

Answer:

D

Step-by-step explanation:

Where f(0) is or x=0, y= 4

Answer:

4

Step-by-step explanation:

( d ). 4. is correct

we have. to see x (0) n on the 0 we have. to find the no: of y that cross the on it

Answer:

D ( not 100 percent) hear me out time is constant and I think the constant has to be on the bottom

Step-by-step explanation:

It’s between c and d for me hope this gets you a lil further ahead

Step-by-step explanation:

the answer is explained above

Answer:

Option 1

hope this helped :D

Answer:

A

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

30/6=5

Answer:

4(x+3)²+4

Step-by-step explanation:

4x²+24x+40=0

using the equation above

a:4 b:24 c:40

4(x+(24÷2x4))² + (40-(24²÷4x4))

4(x+3)²+(40-36)

4(x+3)²+4

Answer:

-35

Step-by-step explanation:

-15 -20

= -35

But if you want the positive difference, it would be 35

Answer:

Step-by-step explanation:

-15-(+20)=-15-20=-35

Answer:

62miles/1hr

Step-by-step explanation:

In order to get the rate of change I divided 124 miles by 2 hours to get 62 miles.

Answer:

I think it would be 5.49 as the height of the prism.

Step-by-step explanation:

I just did 7 × 5 which is 35, and then I did 192 ÷ 35 and got 5.49. I'm not completely sure but that's my best answer I hope it helps!

Answer:(-8,-4)

Step-by-step explanation:

Answer:

60 minutes is 20% of 300 minutes

Step-by-step explanation:

let x be the number of total minutes

60 = 20% of x

20% = 1/5

60 = 1/5x

multiply both sides by 5

300 = x

x = 300 minutes