Kristen owns a bakery and is making a cake for a wedding. The dimensions of the cake are shown below. Answer each of the questions below.

What is the frosted area of the top cake? (Round to the nearest tenth)

What is the frosted area of the bottom cake? (Round to the nearest tenth)

What is the total surface area of cake that will be frosted?

Answer:

A) The first function (the quadratic one) is growing more rapidly.

B) Between x=0 and x=1.

C) We can assume that they don't intersect again.

Step-by-step explanation:

A)

The first function (the quadratic one) is growing more rapidly. We can see this because the difference between its y values is so much greater than the difference between the y values for the exponential function.

B)

Between x=0 and x=1. When functions intersect, their y and x values are equal. The y-values are equal at some point over x=0 and x=1 because they both cross over the same range (y=1 and y=2)

C)

We can assume that they don't intersect again because the y-values for the exponential equation will never reach the corresponding values for the quadratic equation; it simply isn't growing rapidly enough.

Answer:

x^12

Step-by-step explanation:

when multiplying with exponents, keep base and add exponents

when dividing with exponents, keep base and subtract exponents

Answer:

A≈1130.97

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Step-by-step explanation:

A=2πrh+2πr2=2·π·12·3+2·π·122≈1130.97336

Answer:

The answer should be 5.003, you can round if you want to 5

Step-by-step explanation:

Answer:

t=40

Step-by-step explanation:

first, add 21 to -21=0

to keep it balanced add 21 to 19=40

so t=40

hope this helps

Answer:

d = 233.23 feet

Step-by-step explanation:

Given that,

Justin walks 200 feet to the east, then turns and  walks 120 feet due south.

We need to find the total distance walked by Justin. Let the distance be d.

We can use the Pythagoras theorem to find it such that,

[tex]d=\sqrt{d_1^2+d_2^2} \\\\d=\sqrt{200^2+120^2} \\\\d=233.24\ feet[/tex]

So, he walk 233.23 feet in all.

Answer:

m<IJL = 48

Step-by-step explanation:

<IJL = x

100 - 52 = x

x = 48

Answer:

219 percent

Step-by-step explanation:

97 goes into 213 two times which is a 200 percent increase which leaves 18 books. 18.5 percent of 97 is about 18 so rounded up it is a 219 percent increase

Answer: 1 foot

Step-by-step explanation:

because 1 foot is equivalent to 12 inches

Answer:

i don't know

Step-by-step explanation:

9514 1404 393

Answer:

  6(9v -7w)

Step-by-step explanation:

The greatest common factor of the two terms is 6. Any factor of 6 can be brought outside parentheses:

  54v -42w = 2(27v -21w) = 3(18v -14w) = 6(9v -7w)

Answer:

guihnijiop;kl;lkm

Step-by-step explanation:

Answer:

A parabola has an axis of symmetry at x = 3 if the x-value of the vertex is 3.

f(x) = x^2 + 3x + 1 = x^2 + 3x + 9/4 - 5/4 = (x + 3/2)^2 - 5/4 => vertex = (-3/2, -5/4)

f(x) = x^2 - 3x - 3 = x^2 - 3x + 9/4 - 21/4 = (x - 3/2)^2 - 21/4 => vertex = (3/2, -21/4)

f(x) = x^2 + 6x + 3 = x^2 + 6x + 9 - 6 = (x + 3)^2 - 6 => vertex = (-3, -6)

f(x) = x^2 - 6x - 1 = x^2 - 6x + 9 - 10 = (x - 3)^2 - 10 => vertex = (3, -10)

Therefore, f(x) = x^2 - 6x - 1 has an axis of symmetry at x = 3.

Step-by-step explanation:

plz mark me as brainlist

Answer:

they need 4 buses

60+60+60=180 that does not get you to 196 so you would add 1 more bus

which equals 4 buses

Answer:

-18

Step-by-step explanation:

2x²-7xy+3y²

2(3²)-7(3)(4)+3(4²)

2(9)-84+3(16)

18-84+48

18+48-84

-18

Answer:

amen

Step-by-step explanation:

amen you shall pass

Answer:

50

Step-by-step explanation:

p=2(l+w)

2(10+15)

50

Answer:

700

Step-by-step explanation:

4girls=5boys

560girls=?

560*5/4

=700boys

Answer:

4.33333333333 or 4 and 1/3

Step-by-step explanation:

Answer:

4 1/3

Step-by-step explanation:

1) Convert 5 3/4 to improper fraction.

2) Simplify 5x4 to 20.

3) Simplify 20+3 to 23.

4) Convert 1 5/12 to an improper fraction.

5) Simplify 1x12 to 12.

6) Simplify 12+5 to 17.

7) Find the least common denominator of 23/4 & 17/12.

8) Make the denominators the same.

9) Join the denominators.

10) Simplify 52/12 ( 4 1/3 )

Hope this helped!

​  

.

Answer:

165 centimeters

Step-by-step explanation:

A pentagon has 5 sides

Each side is 33 centimeters long

5 x 33 = 165

Answer: (-2,9)

Step-by-step explanation: I did this not too long ago!

Solve equation [2] for the variable  y  

 [2]    y = 5x + 19

// Plug this in for variable  y  in equation [1]

  [1]    (5x+19) + 3x = 3

  [1]    8x = -16

Solve equation [1] for the variable  x

  [1]    8x = - 16

  [1]    x = - 2

By now we know this much :

   y = 5x+19

   x = -2

Use the  x  value to solve for  y

   y = 5(-2)+19 = 9

Answer (-2,9)

Answer:

-0.6

Step-by-step explanation:

Answer:

90 Degrees.

The angle which is equal to its supplement is 90 degrees.

Answer:

90

Step-by-step explanation:

Let the required angle be x°

Therefore, it's supplement = (180-x)°

Now, x = 180-x

= x+x = 180

= 2x = 180°

Therefore x\ =\ \frac{180°}{2}\ =\ 90°x = 2180° = 90°

Answer:

$490

Step-by-step explanation:

Since one hour of work is $12.25, 40 hours is $490.

12.25 x 40 = 490

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John 8:12 - Jesus spoke to the people once more and said, “I am the light of the world. If you follow me, you won’t have to walk in darkness, because you will have the light that leads to life.”

Philippians 2:7-8 - but emptied Himself, taking the form of a bond-servant, and being made in the likeness of men. Being found in appearance as a man, He humbled Himself by becoming obedient to the point of death, even death on a cross.

Answer:

The rocket will hit the ground after 113.28 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

The height of a rocket, after t seconds, is given by:

[tex]h(x) = -16x^2 + 1812x + 59[/tex]

Using this equation, find the time that the rocket will hit the ground.

This is x for which [tex]h(x) = 0[/tex]. So

[tex]-16x^2 + 1812x + 59 = 0[/tex]

Then [tex]a = -16, b = 1812, c = 59[/tex]

[tex]\Delta = (1812)^2 - 4(-16)(59) = 3287120[/tex]

[tex]x_{1} = \frac{-1812 + \sqrt{3287120}}{2*(-16)} = -0.03[/tex]

[tex]x_{2} = \frac{-1812 - \sqrt{3287120}}{2*(-16)} = 113.28[/tex]

The rocket will hit the ground after 113.28 seconds.

Answer:

G

Step-by-step explanation:

Answer:

its G

Step-by-step explanation:

Answer: r=3.659 or 3.7

Step-by-step explanation:

Answer:

if u mean absolute value it is 5.

the value is always positive an dmeans how far is it from the numberline

Step-by-step explanation: