A company is going to make a storage container with sheet steel walls. The container will be in the shape of a rectangular prism, as shown below. If the sheet steel costs $20 for each square meter, how much will the sheet steel cost in total?

Answer: [tex]f(x)=2x^2+5[/tex]

Step-by-step explanation:

First integrate f'(x) so we can find the funtion f(x):

[tex]4\int\limits {x} \, dx =4[\frac{1}{2} x^2]=2x^2+C=f(x)[/tex]

The initial conditions say that when x = 0, the function equals 5. Let's write that down:

[tex]f(0)=5=2(0^2)+C=C[/tex]

Therefore, the integration constant 'C' must equal 5. This means that our function is:

[tex]f(x)=2x^2+5[/tex]

Step-by-step explanation:

The equation of a circle is

[tex](x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]

Where (h,k) is the center and

r is the radius.

Here the center is (-9,10).

To find the radius, find the distance from the center to a point on the circle.

So find the distance between (-9,10) and (-9,7).

[tex]r = \sqrt{(( - 9 - ( - 9) {}^{2} + (10 - 7) {}^{2} } [/tex]

[tex]r = \sqrt{0 + 9} [/tex]

[tex]r = \sqrt{9} [/tex]

[tex]r = 3[/tex]

So the radius is 3 so we plug in

[tex](x - ( - 9) {}^{2} + (y - 10) {}^{2} = {3}^{2} [/tex]

[tex](x + 9) {}^{2} + (y - 10) {}^{2} = 9[/tex]

Answer:

○ [tex]\displaystyle (x + 9)^2 + (y - 10)^2 = 9[/tex]

Explanation:

Accourding to one of the circle equations, [tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle (h, k).[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared.

I am joyous to assist you at any time.

The percent of his monthly budget that his transport costs account for will be 17.8%.

The percent of his monthly budget that his transport costs account for will be:

= 325/(800 + 450 + 125 + 325 + 125) × 100

= 325/1825 × 100

= 17.8%

The percent of his monthly budget has he accounted for will be:

= 1825/2500 × 100

= 73%

When he saves 10% of his take-home pay towards retirement, the amount saved will be:

= 10% × $2500

= $250

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The percent of Rayan's monthly budget that his transport costs account for will be 17.8%.

1. The proportion of his monthly budget that his transit expenses make up is:

= 325/(800 + 450 + 125 + 325 + 125) × 100

= 325/1825 × 100

= 17.8%

The proportion of his monthly budget that he has already accounted for is:

= 1825/2500 × 100

= 73%

He will save the following sum for retirement if he sets aside 10% of his after-tax income:

= 10% × $2500

= $250

The answer is $250.

2. To find the percentage of his monthly budget accounted for by transport costs, we add up the amounts for Car Payment and Gas:

$325 + $125 = $450.

Then we calculate the percentage: (450 / 2500) x 100% = 18%. Therefore, his transport costs account for 18% of his monthly budget.

3. To find the percentage of his monthly budget accounted for overall, we sum up all the amounts in the table:

$800 + $450 + $125 + $325 + $125 = $1,825.

Then we calculate the percentage: (1825 / 2500) x 100% = 73%. Therefore, he has accounted for 73% of his monthly budget.

4. To calculate how much Ryan can save each month for retirement, we take 10% of his take-home pay:

10% of $2,500 = $250.

Thus, he can save $250 each month for retirement.

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Answer:

Step-by-step explanation:

[tex]\sf a^{m}*a^{n} =a^{m +n}\\\\a^{\frac{1}{n}}=\sqrt[n]{a}[/tex]

[tex]\sf a^{-n}=\dfrac{1}{a^{n}}\\\\\dfrac{a^{n}}{a^{m}}=a^{n-m}\\\\\\a^{0}=1[/tex]

[tex]\sf (a^{n})^{m} = a^{n*m}\\\\(a^{n}*b^{m})^{p}=a^{np}b^{mp}\\\\(ab)^{n}=a^{n}b^{n}[/tex]

Answer: 23

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you multiply top and bottom of 7/2 by 2 as in (7 *2) / (2 * 2) = 14 /4

If you multiply 7/2 top and bottom by 4, you get 28/8

So 14/4 and 28/8 are both the same as 7/2

General form of a quadratic equation: [tex]ax^2+bx+c[/tex]

  ⇒ since the equation: [tex]-x^2-2x+8[/tex]

     ⇒ so:

To calculate the x-coordinate of the vertex

  ⇒use x = [tex]-\frac{b}{2a}[/tex]   <--- this is a property that helps you find the vertex of the

                                 quadratic

      x = [tex]-\frac{(-2)}{2*(-1)} =-1[/tex]

Since x = -1:

    ⇒ we can plug in this x-value into the original equation to find the y-

         value

          [tex]y =-(-1)^2-2(-1)+8=-1+2+8=9[/tex]

So the coordinate of the vertex: (-1,9)

Hope that helps!

Answer:

The answer would be true

Step-by-step explanation:

[tex]1=5-4+3-2-1[/tex]

[tex]1=1+1-1[/tex]

[tex]1=2-1[/tex]

[tex]1=1[/tex]

Answer:

2800 ft³

Step-by-step explanation:

The required volume of given figure is 2800 ft³

I hope it helped you

Answer:

Minimum: 189

Q1: 275

Q2: 572

Q3: 653

Maximum: 786

Step-by-step explanation:

I took the test, I got it wrong but I looked back at the answer I hope this helped. And I am sorry this is late.

Answer:

Minimum: 189

Q1: 275

Q2: 572

Q3: 653

Maximum: 786

Step-by-step explanation:

I took the test, I got it wrong but I looked back at the answer I hope this helped. And I am sorry this is

Answer:

I guess it is $105.Not so sure about my answer...

The volume of the cylinder container is the amount of milk in it

The most accurate measurement for the radius is 3 inches

The given parameters are:

The volume of a cylinder is:

V = πr²h

So, we have:

πr² * 8 = 231

Divide both sides by 8π

r² = 9.19

Take the square root of both sides

r = 3.03

Approximate

r = 3

Hence, the most accurate measurement for the radius is 3 inches

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Answer:

21 and 35

Step-by-step explanation:

21 for the first box, when it is in parenthesis you multiply each, so then 35 for the second box

7 times 3 then 7 times 5

Answer:

Area of a sphere

Radius

15 m

Diameter

30 m

Volume

14,137 m³

Surface to volume ratio

0.2 1/m

Surface area

2,827.4 m²

Step-by-step explanation:

Answer:

-35, 2

Step-by-step explanation:

When you multiply -35*2 you will get -70

When you add a positive number to a negative number you will take the larger number and if it is negative you will add the positive and if it is positive you take away negative so -35+2 will be -33

Answer:

x = 1.

Step-by-step explanation:

[tex]\frac{1}{3}(6x-3)-\frac{1}{4}(20x+8)=-6\\\\[Distribute the first fraction into the parenthesis.]\\((\frac{1}{3}*6x)-(\frac{1}{3}*3))-\frac{1}{4}(20x+8)=-6\\\\2x-1-\frac{1}{4}(20x+8)=-6\\\\[Distribute the second fraction into the parenthesis.]\\2x-1-((\frac{1}{4}*20x)+(\frac{1}{4}*8))=-6\\\\2x-1-5x-2=-6\\\\[Combine like terms.]\\-3x-3=-6\\\\[Add 3 to both sides.]\\-3x=-3\\\\[Divide both sides by -3.]\\x=1[/tex]

Answer:

1/5

Step-by-step explanation:

4/8-3/10=1/5

Answer:Easy math pls help quick will give brainlest

Easy math pls help quick will give brainlest

Easy math pls help quick will give brainlestStep-by-step explanation:

is your correct answer

Answer:

10 sqrt 3

Step-by-step explanation:

sqrt (30) * sqrt (10) = sqrt (300) = sqrt ( 4 * 25 * 3) = 10 sqrt 3

To calculate a point estimate, we need to know the sample size.

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Explanation:

Let's go through the answer choices.

Answer:

yellow blue green gray black white

Note :

sin(x) = cos (90-x)

Therefore,

sin(x-3) = cos(90-(x-3))

90-[x-3] = 2x+6

90-x+3 = 2x+6

3x = 93-6

x = 31-2

x = 29°

#GH

[tex]\\ \rm\Rrightarrow \dfrac{GH}{FG}=\dfrac{TS}{TU}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{GH}{36}=\dfrac{42}{28}=\dfrac{3}{2}[/tex]

[tex]\\ \rm\Rrightarrow GH=108/2=54[/tex]

#UV

[tex]\\ \rm\Rrightarrow \dfrac{UV}{TU}=\dfrac{JF}{FG}[/tex]

[tex]\\ \rm\Rrightarrow\dfrac{ UV}{28}=\dfrac{63}{36}=\dfrac{21}{12}=\dfrac{7}{4}[/tex]

[tex]\\ \rm\Rrightarrow UV=7(28)/4=7(7)=49[/tex]

#VW

[tex]\\ \rm\Rrightarrow \dfrac{VW}{SW}=\dfrac{IJ}{IH}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{VW}{35}=\dfrac{27}{45}=\dfrac{3}{5}[/tex]

[tex]\\ \rm\Rrightarrow VW=3(35)/5=3(7)=21[/tex]

FGHIJ ≅ UTSWV

making proportional equations

ok so they raised 12%

12%=12/100=0.12

12% of 552.5=.12 times 552.5=66.3 was raised

552.5-66.3=486.2

divide by 7

486.2/7=69.457 about 69.46

each member must raise at least 69.46

Answer:

4*10 = 40

43/5 = 8.6

40 + 8.6 = 48.6 candy in total.

Answer:

f(h + 2) = 2h² +8h - 19

Step-by-step explanation:

f(x) = 2x² - 27

f(h + 2) = 2(h + 2)² - 27

f(h + 2) = 2(h²+4h+4) - 27

f(h + 2) = 2h² + 8h + 8 - 27

f(h + 2) = 2h² +8h - 19

I hope this helps!

Answer: 120 degrees

Step-by-step explanation: