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LiRa [457]
3 years ago
14

explain why the graph of the function y = 3x + 40 will never intersect the graph of the function y = 3x + 35 .

Mathematics
1 answer:
AlladinOne [14]3 years ago
4 0
These two graphs have the same slope (3), and are therefore parallel. Parallel lines never intersect each other.
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A rectangular prism has a length of 5 1/8 feet, a width of 7 1/2 feet, and a height of 2 feet. What is the volume of the prism?
maksim [4K]

For this case we have that by definition, the volume of a rectangular prism is given by:

V = A_ {b} * h

Where:

A_ {b}: It is the area of the base

h: It's the height

According to the data we have:

length = 5 \frac {1} {8} = \frac {8 * 5 + 1} {8} = \frac {41} {8}

width = 7 \frac {1} {2} = \frac {2 * 7 + 1} {2} = \frac {15} {2}

Then:

A_ {b} = \frac {41} {8} * \frac {15} {2} = \frac {615} {16}

Thus, the volume is:

V = \frac {615} {16} * 2 = \frac {1230} {16} = 76.875

Answer:

76.875 \ ft ^ 3

6 0
3 years ago
4^{3x+2}=<br> 4 <br> 3x+2<br> =<br> \,\,2^{2x-4}<br> 2 <br> 2x−4
aliina [53]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
What is the ratio of purple cylinders to total cylinders, there are 7 purple and 1 yellow.
Dominik [7]

Answer:

7:8

Step-by-step explanation:

There are 7 purple cylinders. There are 8 total cylinders (7 purple and 1 yellow). So the ratio is 7:8

3 0
3 years ago
PLZ HELP ANSWER AND EXPLAIN. (photo) #8
evablogger [386]
The picture shown is a unfolded rectangular prism.

The formula to find the surface area of a rectangular prism is:

A = 2(WL+HL+HW)

(W = width, L = Length, H= Height)

So we would need to determine the Height, Length, and Width first, and then plug them into the formula and solve for the area.

In this case:
The height is: 4 cm 
The length is: 10.5 cm
The width is: 6.4 cm

Now that we have determined the height, length, and width, we simply plug them into the formula I showed earlier. 

In this case the answer would be 269.6.

D. 269.6
8 0
3 years ago
9 hundred thousands equal how many tens
il63 [147K]
900,000=10*90,000

So there are 90,000 tens in 900,000.
5 0
3 years ago
Read 2 more answers
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