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Answer:

[tex]v=480 ~in^3[/tex]

Step-by-step explanation:

[tex]v=1/3 Bh[/tex]

[tex]1/3(12)^210=[/tex]

[tex]480 ~in^3[/tex]

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hope it helps...

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Answer:

62ft²

Step-by-step explanation:

Hi there!

Surface area is calculated by this formula:

2(length*width)+2(width*height)+2(length*height)

*note: we multiply each area by 2, as the prisim has 6 faces, or 2 of each face

we're given a length of 5 ft, a width of 2 ft, and a height of 3ft

now let's calculate the surface area

to find the area of the first two faces:

2(length*width)

2(5*2)

2(10)

20 ft²

now to find the area of the second two faces:

2(width*height)

2(2*3)

2(6)

12 ft²

finally, find the area of the last two faces:

2(length*height)

2(3*5)

2(15)

30 ft²

now add up all the values

SA=20+12+30=62 ft²

your answer is 62ft²

Hope this helps!

Answer:

It is best to solve a system of equations using substitution when one of the equations isolates one of the variables, or when the coefficient of one of the variables is 1 or -1.

Step-by-step explanation:

This makes it easier to substitute one variable for the other, allowing you to solve for the remaining variable. It is also a good idea to check the solution back in the original equations just to make sure it is a valid solution

Answer:

Answer Below

Step-by-step explanation:

It is best to use substitution if one of the variables is isolated or has a coefficient of 1 or -1.

Answer:

110 in.²

Step-by-step explanation:

The figure is composed of a parallelogram and a rectangle

Therefore, the area of the figure = area of rectangle + area of parallelogram

= Length*Width + base*height

Length = 10 in.

Width = 6 in.

base = 10 in.

height = 5 in.

Area of the figure = 10*6 + 10*5

= 60 + 50

= 110 in.²

9514 1404 393

Answer:

  8167.14 m²

Step-by-step explanation:

The radius of the circle is half the diameter, so is 51 m. The area of the circle is given by the formula ...

  A = πr²

Filling in the given numbers, we find the area to be ...

  A = 3.14(51 m)² ≈ 8167.14 m²

a) The degree of the polynomial is 5.

b) The second difference is -726        -126        -6        114         714

c) The difference when they are constant is 480.

What is a polynomial?

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.

y values:      -999           -140          -7          0           1         116          945

1st difference        859           133          7           1          115         829

2nd difference               -726        -126        -6        114         714

3rd difference                           600      120      120       600

4th difference                                  -480      0         480

5th difference                                           480     480

The degree of a polynomial is the number of difference where it is constant.

The degree of the polynomial function is 5.

The constant is the 5th difference which is 480.

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Answer:

5.794

Step-by-step explanation:

The seven after the decimal point is the tenth digit, the nine is the hundredth, and the 3 is the thousandth place. Therefore, we look at our neighbor (the number next to the thousandth place) and if its 5 or more we round up, but if its 4 or less we keep it the same.

Answer:

2019

Step-by-step explanation:

2010: 450,000

2011: (5% of 450,000) + 450,000 = 472,500

2012: (5% of 472,500) + 472,500 = 496,125

2013: (5% of 496,125) + 496,125 = 520,931.25

2014: (5% of 520,931.25) + 520,931.25 = 546,977.8125

2015: (5% of 546,977.8125) + 546,977.8125 = 574,326.703125

2015: (5% of 574,326.703125) + 574,326.703125 = 603,043.038281

2016: (5% of 603,043.038281) + 603,043.038281 = 633,195.190195

2017: (5% of 633,195.190195) + 633,195.190195 = 664,854.949705

2018: (5% of 664,854.949705) + 664,854.949705 = 698,097.69719

2019: (5% of 698,097.69719) + 698,097.69719 = 733,002.582049

Basically, take five percent of the population of the year and add it to the population of the previous year. This is the long way of doing it, but you get the population count for each year.

Answer:

5 hours

Step-by-step explanation:1 over 5 of an hour is 20 minutes. 20 minutes = 1 over 15 of lawn.

20 x 15 = 300

300 divided by 60 = 5 (hours)

Answer:

add the 3 and 4

Step-by-step explanation:

Answer:

pi  3.1415926535897932384626433832795

The nearest integer that is a solution, gotten through graphing of the quadratic function x² + 2x - 2 = 5, is x = -4

Quadratic equations when plotted on a graph follows a parabolic path.

To plot the functions there will be table of values that is used in making the graph. The table of values is solved as follows

x² + 2x - 2 = 5 rearranging the equation will result to x² + 2x - 7 = 0

For x = -20,  y = (-20)² + 2 * -20 - 7 = 353

For x = 0,  y = (0)² + 2 * 0 - 7 = -7

For x = 20,  y = (20)² + 2 * 20 - 7 = 433

x      y

-20  353

0      -7

20    433

The graph is plotted and attached. From the graph the solution is

x = -3.828, to the nearest integer = -4

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Answer:

40.5 m²

Step-by-step explanation:

Area of the shaded = area of the square - area of the triangle

Area of square = s²

s = 9 m

Area of square = 9² = 81 m²

Area of triangle = ½*b*h

b = 9 m

h = 9 m

Area of triangle = ½*9*9 = 40.5 m²

Area of the shaded = 81 - 40.5 = 40.5 m²

Answer:

Infinity (∞)

Step-by-step explanation:

Graph the function and observe that the function P(t) increases without bound as x increases.

Answer:

commutative property of addition

Step-by-step explanation:

commutative property of addition

The commutative property of addition allows you to change the order of the numbers in an addition.

For example, 1 + 2 = 2 + 1

Answer:

550 lattes he sold this week

Step-by-step explanation:

$275÷$0.50= 550

Answer:he will save 100 $

Step-by-step explanation:

Answer: $142

Step-by-step explanation: assume 20miles per gallon.

Then 0.05 gallon per mile.

35psi gives 30/35= 0.85 times the surface on the ground, gives square 0.85^2= 0.73 times more deflection so heatproduction a cycle or at same speed. This gives more fuelconsumption.

I once determined that when driving 50mph/80kmph constant, tires use 25% of the total fuel-consumption.

Higher speed same fuelconsumption by the tires, but more bij the higher speed. But to keep it simple only 50mph.

The fuelconsumption at 30 psi 0.05 gpm, 25% by the rolling resistance is 0.0125mpg. 35psi ,0.73 x0.0125=0.0091gpm.

The windforce stays the same 75% of total is 0.0375mpg+ 0.0091= 0.0466mpg,0.0466gpm/0.05= 93% used of fuel with 35psi then at 30 psi.

So 21000mpj x 0.05gpm= 1050 gallon

21000mpjx 0.466gpm= 979gallon.

Saving 1050-979= 71 gallonx $2= $142

Rounded here and there, and other speeds give other divisions, but to show the idea how to calculate it.

Also if 25% used is right is discussable.

The number of hours does each group member work on the project is 4 hours. Therefore, the correct answer is option B.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is x+45/4=4x.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

4x-x=45/4

3x=45/4

x=15/4

x=3.75

x≈4 hours

Therefore, option B is the correct answer.

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Answer:

40 quarters are in $10

Step-by-step explanation:

Answer:

40 quarters i think cause there's 4 quarters in a dollar and then 10 x 4 equals 40...

Step-by-step explanation:

Answer:

pi is considered to be irrational because it is a non-terminating, non-repeating decimal

Step-by-step explanation:

Answer: Statement 2 (P(odd number) = 1/2) is true

Step-by-step explanation:

Statement 1: there are 4 even numbers (2, 4, 6, 8) so therefore a 1/2 chance, not a 1/8. [FALSE]

Statement 2: there are 4 odd numbers (1, 3, 5, 7) so therefore a 1/2 chance, so this is true. [TRUE]

Statement 3: 8 is the biggest number, so there are 7, not 1, numbers less than it. [FALSE]

Statement 4: there is no 9 on an 8 sided cube. [FALSE]

Answer:

yes it is

Step-by-step explanation:

Answer:

75 : 225

Step-by-step explanation:

[tex]\frac{\frac{1}{4} }{\frac{3}{4} } :\frac{75}{y}[/tex]

0.25 × y = 0.75 × 75

0.25y = 56.25

0.25y ÷ 0.25 = 56.25 ÷ 0.25

y = 225

20 beacuse you need hiking boots to hike

Answer:

25

Step-by-step explanation:

let x = # of participants on the hike

(.80)x = 20

x = 20/0.80 = 25

Answer:

160 in³

Step-by-step explanation:

Volume of rectangular pyramid, V = (Length * width * height) / 3

Length = 10 in ; width = 8 in ; height = 6 in

V = (10 * 8 * 6) / 3

V = 160 in³

Answer:

35

Step-by-step explanation:

Answer:

y=2x+2

Step-by-step explanation:

you have to substitute x and y in the given equations and which one works

for y=x+3 , 4=1+3 true , 6=2+3 false

for y=3x+1, 4=3*1+3 false

for y=2x+2, 4= 2*1+2 true, 6= 2*2+2 true, 8= 2*3+2 true, 10=2*4+2 true

for y=4x, 4=4*1 true, 6= 4*2 false