MATHEMATICS HIGH SCHOOL

What is the surface area of a cube that measures 5 inches on each side?25 in 2
50 in 2
75 in 2
150 in 2

Answers

Answer 1
Answer: Surface area of a cube=6 x side²

Data:
Side=5 in.

Surface area of a cube=6(5 in)²=6(25 in²)=150 in².

Answer: 150 in². 

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Last week a candle store received $355.60 for selling 20 candles. small candles sale for $10.98 in large candles sale for $27.98 how many large candles did store sell ?

Answers

11 candles is the answer
11 candles is correct

Determine if the equation y = 2.5(0.8)^x represents exponential growth or decay?

Answers

for y=ab^c if 0<b<1, then it is decay, if b>1, then it is grouth

y=2.5(0.8)^x
0.8=b
0<0.8<1
it is decay

A monument has a base and a statue the base is a rectangle prism that measured 4 feet by 6 feet by 2 feet.the statue is a cube with sidebars that are 2 feet long.What is the volume of the monument A.48 cubic feet
B.5 cubic feet
C.56 cubic feet
D.96 cubic feet

Answers

4 by 6 by 2 feet equals to A.48 cubic feet
length x width x height 

the answer is A.) 48 cubic feet 

(hope this helps and one of them was just an extra to throw u off)

PLEASE HELP Polynomial Graph Studies Polynomials are great functions to use for modeling real-world scenarios where different intervals of increase and decrease happen. But polynomial equations and graphs can be trickier to work with than other function types. In mathematical modeling, we often create an equation to summarize data and make predictions for information not shown on the original display. In this activity, you’ll create an equation to fit this graph of a polynomial function. Part A Describe the type of function shown in the graph. Part B What are the standard form and the factored form of the function? Part C What are the zeros of the function? Part D Use the zeros to find all of the linear factors of the polynomial function. Part E Write the equation of the graphed function f(x), where a is the leading coefficient. Use the factors found in part D. Express the function as the product of its leading coefficient and the expanded form of the equation in standard form. Part F Use the y-intercept of the graph and your equation from part E to calculate the value of a. Part G Given what you found in all of the previous parts, write the equation for the function shown in the graph.

Answers

Answer:

Here's what I get  

Step-by-step explanation:

Part A

The graph shows a polynomial of odd degree. It is probably a third-degree polynomial — a cubic equation.

Part B

The standard form of a cubic equation is

y = ax³ + bx² + cx + d

The factored form of a cubic equation is

y = a(x - b₁)(x² + b₂x + b₃)

If you can factor the quadratic, the factored form becomes

y = a(x - c₁)(x - c₂)(x - c₃)

Part C

The zeros of the function are at x = -25, x = - 15, and x = 15.

Part D

The linear factors of the function are x + 25, x + 15, and x - 15.

Part E

y = a(x + 25)(x + 15)(x - 15) = a(x + 25)(x² - 225)  

y = a(x³ + 25x² - 225x - 5625)

Part F

When x = 0, y = 1.

1 = a[0³ +25(0)² - 225(0) - 5625] = a(0 + 0 - 0 -5625) = -5625a

a = -1/5625

Part G

y = -(1)/(5625)( x^(3) + 25x^(2) - 225x - 5625)\n\ny = \mathbf{ -(1)/(5625) x^(3) - (1)/(225)x^(2) + (1)/(25) x + 1}

Answer

Actually, the answer should be -0.0007(x+20)(x+5)(x-15)

Step-by-step explanation:

This is continuing off of the previous answer

PART C

The zeros should be (15,0), (-5,0), and (-20,0)

PART D

x - 15, x + 5, and x + 20

PART E

a(x - 15)(x + 5)(x + 20)

Standard: a(x^(3) + 10x^(2) -275x-1500)

PART F

The y-intercept is at (0,1), so we replace the x's with 0:

1 =[(0)x^(3) +10(0)x^(2) -275(0)-1500] and this gives us (0+0-0-1500) which also equals -1500

Then we do (1)/(-1500) which gives us -0.0006 repeating which rounds to -0.0007

a= -0.0007

PART G

Just place the numbers where they should go and your answer is

y =-0.0007(x + 20)(x + 5)(x - 15)  

the placement for (x + 20) (x + 5) and (x - 15) doesn't matter as long as they are behind -0.0007

You start a lawn care company with four friends. You agree to split the profits equally. The tools you need to buy cost $525. How much income will you have to earn to each make a profit of $400?

Answers

Well I would answer it this way.  Hope it helps-you have four friends plus yourself.  That makes 5.  You will then take the $400 x 5(how many people) + the cost of tools $525.  2000 + 525=$2525 
profit of each=$400
total profit=4*400= $1600
cost=$525
total income=1600+525=$2125

A cube has a side length of 4 inches. What is the surface area of the cube? a.16 in. b.64 in. c. 96 in. d.164 in.

Answers

Answer: C

Step-by-step explanation: The surface area of a cube is calculated by 6x^(2), where x is the side length of the cube. So, 6 * (4)^2 = 96 inches squared, or C
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