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kiruha [24]
2 years ago
7

A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4​ unit. How many 1/4 unit cubes

does it take to fill the prism?
Mathematics
2 answers:
Vikentia [17]2 years ago
6 0

He right answer is 128

34kurt2 years ago
4 0

Answer:

128

Step-by-step explanation:

Method A.

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

= 2/(1/64)

= 2 * 64

= 128

Method B.

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

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If 2x + 6y = 16, which of the following expressions represents x in terms of y?
Andrej [43]

Answer:

x=-3y+8

Step-by-step explanation:

2x+6y=16

2x=16-6y

2x=-6y+16

x=-6/2y+16/2

x=-3y+8

7 0
3 years ago
Write the quadratic equation whose roots are -2 and 1, and whose leading coefficient is 4 .
Kaylis [27]

Answer: the equation is

4x^2 + 4x - 12

Step-by-step explanation:

A quadratic equation is an equation in which the highest power of the unknown is 2.

The general form of a quadratic equation is expressed as

ax^2 + bx + c

Where

a is the leading coefficient

c is a constant

Assuming we want to write the quadratic equation in x, from the information given, the roots which are given are -2 and 1 and the leading coefficient is 4.

Therefore, the linear factors of the quadratic equation will be (x+2) and (x-1)

the equation becomes

(x+2)(x-1)

= x^2 - x +2x - 3

= x^2 + x - 3

Given a leading coefficient of 4, we will multiply the quadratic expression by 4. It becomes

4(x^2 + x - 3)

= 4x^2 + 4x - 12

7 0
3 years ago
What times itself equals 32 (sorry i suck at maths)
julia-pushkina [17]
You're asking for the square root of 32. you can actually do this on a calculator really easily. just type in the number (in this case, 32) and press the square root symbol (looks like a calculator). the square root of 32 is a long string of decimals,  but it's approximately 5.7 :) good luck
7 0
3 years ago
Assume that the population of human body temperatures has a mean of 98.6 degrees F and a standard deviation of 0.62 degrees F. I
dimulka [17.4K]

Answer:

0% probability of getting a mean temperature of 98.2 degrees F or lower.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 98.6, \sigma = 0.62, n = 106, s = \frac{0.62}{\sqrt{106}} = 0.06

Find the probability of getting a mean temperature of 98.2 degrees F or lower.

This is the pvalue of Z when X = 98.2. So

Z = \frac{X - \mu}{s}

Z = \frac{98.2 - 98.6}{0.06}

Z = -6.67

Z = -6.67 has a pvalue of 0.

So there is a 0% probability of getting a mean temperature of 98.2 degrees F or lower.

8 0
2 years ago
HeLPP i need this fast please WILL GIVE BRANILIEST!! this is the only info they gave me soz
Morgarella [4.7K]
I’m sorry this isn’t an answer but what in the world are y’all learning what is this ?! i’m in high school & i don’t know this
3 0
1 year ago
Read 2 more answers
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