if you answer right, I will give points.... this is homework so it's important. so be honest please.

Mathematics

1 answer:

Alexus [3.1K]2 years ago

8 0

The answers in order are 11, 13, 15, 17, 23. You plug in the number under the x column into the equation to get these. For example 2(-1) + 13= 11

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Find the volume of a cube<br> whose surface area is 150<br> ft2?

Brrunno [24]

Given:

Surface area of cube = 150 ft²

To Find:

Volume of cube

Solution:

As here in Question we are given Surface area of cube is 150 sq. feet. So, firstly we have find the side of edge of cube. Let 'a' be the edge of the cube

We know that,

$\: \: \: \: \dashrightarrow \sf \: \: \: \: Surface \: area_{(Cube)} = 6a^2 \\ \\$

Substituting the required values,

$\: \: \: \: \dashrightarrow \sf \: \: \: \: 150 = 6a^2 \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: \frac{150}{6} = {a}^{2} \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: 25 = {a}^{2} \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: \sqrt{25} = a \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: { \underline{ \boxed{ \sf{ \pink{5 = a}}}} } \\ \\$

Edge of the cube is 5 feet

Now,

$\: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (edge)^3 \\ \\ \: \: \: \: \dashrightarrow \sf \: \: \: \: Volume = (5)^3 \\ \\ \: \: \: \:\dashrightarrow \sf \: \: \: \: {\underline{\boxed{\sf{\pink{Volume =125 \: {ft}^{3}}}}}} \\ \\$

Hence,

Volume of the cube is 125 cu. feet

7 0

1 year ago

Read 2 more answers

25 POINTS <br> Given f(x) =2x+3 Find f(x) =27<br> (show all work please)

Nastasia [14]

27 = 2x + 3
- 3 - 3
--------------------
24 = 2x
------ ------
2 2

12 = x or x = 12

5 0

3 years ago

The sum of two consecutive interferes is 183. What is the smaller integer

Vika [28.1K]

2 consecutive integers : x and x + 1

x + x + 1 = 183
2x + 1 = 183
2x = 183 - 1
2x = 182
x = 182/2
x = 91

x + 1 = 91 + 1 = 92

ur 2 numbers are 91 and 92 with 91 being the smallest integer

8 0

2 years ago

PLEASE HELP I HAVE PICTURE!!!

ludmilkaskok [199]

3rd option: $-\frac{1}{2} < t \leq 3$ is the correct answer

Step-by-step explanation:

First of all, we have to observe the number line

Observing the number line we can see that the number -0.5 or -1/2 is not included in the solution as the circle on -1/2 is empty. An empty circle means that the number is not included in the solution.

While on the other side we can see that 3 has a filled circle which means 3 is included in the solution

This means that the solution might be:

$t>-0.5\\and\\t \leq 3$