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sattari [20]
2 years ago
9

The cube has a volume of 64 cubic inches. What is the length of a side of the cube? Explain. PLEASE HURRY! ​

Mathematics
2 answers:
Mashcka [7]2 years ago
6 0
4

A^3 = 64

Therefore a = 4
Nostrana [21]2 years ago
5 0

Answer:

4

Step-by-step explanation:

a^3 = 64

therefore , a = 4

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A one-celled organism measures 32 mm in length in a photograph. If the photo has been enlarged by a factor of 100, what is the a
larisa86 [58]

32 mm = length × 100

(32 mm)/100 = length . . . . . divide both sides by 100

0.32 mm = length

The actual length of the organism is 0.32 mm.

5 0
2 years ago
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Solve for x, y, and z
zloy xaker [14]

Answer:

The solution is x=1,y=2,z=3

Step-by-step explanation:

The given system of equations is ;\

2x−3y+4z=8...(1)

3x+4y−5z=−4...(2)

4x−5y+6z=12...(3)

Make x the subject in equation (1)

x=\frac{8+3y-4z}{2}...(4)

Put equation (4) into equation (2) and (3)

3(\frac{8+3y-4z}{2})+4y-5z=-4

Multiply through by;

3(8+3y-4z)+8y-10z=-8

Expand;

24+9y-12z+8y-10z=-8

Simplify;

17y-22z=-32...(5)

Equation (4) in (3)

4(\frac{8+3y-4z}{2})-5y+6z=12

2(8+3y-4z)-5y+6z=12

16+6y-8z-5y+6z=12

y-2z=-4

y=2z-4...(6)

Put equation (6) into equation (5)

17(2z-4)-22z=-32

34z-68-22z=-32

34z-22z=-32+68

12z=36

z=3

Put z=3 into equation (6)

y=2(3)-4=2

Put y=2 and z=3 into equation 4

x=\frac{8+3(2)-4(3)}{2}=1

The solution is x=1,y=2,z=3

3 0
2 years ago
A research study investigated differences between male and female students. Based on the study results, we can assume the popula
oksian1 [2.3K]

Answer: 0.0548

Step-by-step explanation:

Given, A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students are µ = 3.5 and σ = 0.05.

Let \overline{X} represents the sample mean GPA for each student.

Then, the probability that the random sample of 100 male students has a mean GPA greater than 3.42:

P(\overline{X}>3.42)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{3.42-3.5}{\dfrac{0.5}{\sqrt{100}}})\\\\=P(Z>\dfrac{-0.08}{\dfrac{0.5}{10}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>1.6)\\\\=1-P(Z

hence, the required probability is 0.0548.

6 0
3 years ago
Determine the value of x, using the following transversal. The value of x is
madam [21]

Answer:

  • x = -10

Step-by-step explanation:

  • x + 75 + x + 125 = 180 as supplementary (same side interior angles)
  • 2x + 200 = 180
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3 0
2 years ago
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Find the fifth term in the sequence<br>that is defined as follows:<br>an = 2n​
Rainbow [258]

Answer:

a_{5}=10

Step-by-step explanation:

If you want to find the 5th term of a sequence or any term you have to substitute n for the desired term in your case the result is the following

a_{n}=2n\\a_{5}=2(5)\\a_{5}=10

7 0
3 years ago
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