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3 years ago

The net of a rectangular prism and its dimensions are shown in the diagram.

Mathematics

1 answer:

dezoksy [38]3 years ago

7 0

Answer:

Step-by-step explanation:

Given: Dimensions of a rectangular prism are $7.5\,\,inches,3\,\,inches\,,\,11.5\,\,inches$

To find: total surface area of the rectangular prism in square inches

Solution:

Length of the rectangular prism (l) = 7.5 inches

Breadth of the rectangular prism (b) = 3 inches

Height of the rectangular prism (h) = 11.5 inches

Total surface area of the rectangular prism = 2(lb+bh+hl)

= $2(7.5\times3+3\times11.5+11.5\times7.5 )$

$2(7.5\times3+3\times11.5+11.5\times7.5 )=2(22.5+34.5+86.25)\\=2(143.25)\\=286.5\,\,square \,\,inches$

So, option D is correct

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PLSS HELPP BRAINLIEST AND 65 POINTS pls do the graph too

Eddi Din [679]

Answer:

$\Large \boxed{ -x+65}$

Step-by-step explanation:

Two points are (0, 65) and (10, 55)

Calculate slope m

$\displaystyle m=\frac{y_2 - y_1}{x_2 - x_1}$

$\displaystyle m=\frac{55-65}{10-0}=-1$

Use slope-intercept form

$y=mx+b$

$y=-1x+b$

b is the y-intercept, y-intercept is (0,65)

$y=-1x+65$

5 0

3 years ago

The function LaTeX: f\left(x\right)=2\cdot4^xf ( x ) = 2 ⋅ 4 xcan be used to represent an exponential growth curve. What is the

nikklg [1K]

Option B: 4 is the multiplicative rate of change of the function

Explanation:

The exponential growth function is $f(x)=2(4)^x$

We need to determine the multiplicative rate of change of the function.

First, let us determine the values of function.

x y

1 8

2 32

3 128

4 512

Since, the multiplicative rate of change of an exponential function is the number by which the next term is increasing or decreasing.

Thus, the multiplicative rate of change of the function is given by

Multiplicative rate of change of the function = $\frac{32}{8} =4$

Multiplicative rate of change of the function = $\frac{128}{32} =4$

Multiplicative rate of change of the function = $\frac{512}{128} =4$

Thus, the multiplicative rate of change of the function is 4

Therefore, Option B is the correct answer.

8 0

3 years ago

What is the solution to the system? (___,___)

Rina8888 [55]

For the first line we have a slope of (y2-y1)/(x2-x1)

(2--2)/(1--1)=4/2=2 so we have:

y=2x+b, now solve for b with either of the points, I'll use: (1,2)

2=2(1)+b

b=0 so the first line is:

y=2x

Now the second line:

(1-10)/(4--2)=-9/6=-3/2 so far then we have:

y=-3x/2+b, using point (4,1) we solve for b...

1=-3(4)/2+b

1=-6+b

b=7 so

y=-3x/2+7 or more neatly...

y=(-3x+14)/2

...

The solution occurs when both the x and y coordinates for each are equal, so we can say y=y, and use our two line equations...

2x=(-3x+14)/2

4x=-3x+14

7x=14

x=2, and using y=2x we see that:

y=2(2)=4, so the solution occurs at the point:

(2,4)

6 0

3 years ago

Maria and Nate graphed lines on a coordinate plane. Maria's line is represented by the equation y = -5/6x +8. Nate's line is per

eduard

Answer:

c) 6x - 5y = 15

Step-by-step explanation:

Slope-intercept form of a linear equation: $y=mx+b$

(where m is the slope and b is the y-intercept)

Maria's line: $y=-\dfrac{5}{6}x+8$