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Lerok [7]
3 years ago
11

If the side lengths of a cube are 16 feet, what is the correct way to write the expression to represent the volume of the cube i

n exponential form?
A. 16 ⋅ 3
B. 16 ⋅ 16 ⋅ 16
C. 16^3
D. 3^16
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
6 0
The answer would be B
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What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final ans
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Answer:

210 cm²

Step-by-step explanation:

The net of the right trapezoidal prism consists of 2 trapezoid base and four rectangles.

Surface area of the trapezoidal prism = 2(area of trapezoid base) + area of the 4 rectangles

✔️Area of the 2 trapezoid bases:

Area = 2(½(a + b)×h)

Where,

a = 7 cm

b = 11 cm

h = 3 cm

Plug in the values

Area = 2(½(7 + 11)×3)

= (18 × 3)

Area of the 2 trapezoid bases = 54 cm²

✔️Area of Rectangle 1:

Length = 6 cm

Width = 3 cm

Area = 6 × 3 = 18 cm²

✔️Area of Rectangle 2:

Length = 7 cm

Width = 6 cm

Area = 7 × 6 = 42 cm²

✔️Area of Rectangle 3:

Length = 6 cm

Width = 5 cm

Area = 6 × 5 = 30 cm²

✔️Area of Rectangle 4:

Length = 11 cm

Width = 6 cm

Area = 11 × 6 = 66 cm²

✅Surface area of the trapezoidal prism = 54 + 18 + 42 + 30 + 66 = 210 cm²

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2 years ago
James can finish a job in 1.5 hours. Jane can finish the same job in one hour. How long will it take them to finish this job if
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1. Joey has 38 bottles. A carton holds 6 bottles. How many cartons does she need?
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Answer:

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Which inequality is represented by the graph?y > -2/3x + 1y < -2/3x + 1y < -3/2x + 1y > -3/2x + 1
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Answer:

y < -\frac{3}{2}x+1

Step-by-step explanation:

Given:

From the graph shown,

The broken line means that the inequality sign will be either < or >.

The shaded region is to the left of the broken line. This means that y < f(x).

Now, in order to find equation of line, we need slope and y-intercept.

From the graph, the y intercept is at (0,1). So, y intercept is 1.

Also, if we consider two points (0,1)\textrm{ and }(2,-2) on the line, then slope is given as:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-2-1}{2-0}=\frac{-3}{2}=-\frac{3}{2}

Therefore, the equation of the line is given as:

y=mx+b\\y=-\frac{3}{2}x+1

But as the shaded region is to the left of the line,

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