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galina1969 [7]
3 years ago
10

What is the answer to this

Mathematics
2 answers:
Serjik [45]3 years ago
7 0
A.) 2 to the 30th power
b.) x to the 36th power
c.) y to the 33rd power
d.) z to the 0th power
UkoKoshka [18]3 years ago
6 0

Answers:

  • a) 2^30
  • b) x^36
  • c) y^33  
  • d) 1

===============================

Explanation:

The rule you use is

(a^b)^c = a^(b*c)

For something like (2^5)^6, we have a = 2, b = 5, c = 6

So,

(a^b)^c = a^(b*c)

(2^5)^6 = 2^(5*6)

(2^5)^6 = 2^30

because 2^30 is so massive, it's likely your teacher will want you to keep 2^30 as is and not use your calculator to find what it turns into.

The other expressions are simplified in a similar manner.

For part (d), you'll use the rule x^0 = 1, where x is nonzero.

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Please I really need help
trasher [3.6K]
<h3>Answer: 96 cubic feet (choice D)</h3>

=======================================================

Explanation:

The triangular face has area of base*height/2 = 8*2/2 = 16/2 = 8 square feet.

Multiply this with the depth of the prism to get 8*12 = 96 cubic feet

----------

For any prism, the volume formula is

V = (area of base)*(depth of prism)

The term "depth" can be replaced with "height" and it's the same idea.

In this problem, we have a triangular prism because the parallel sides are triangles.

8 0
3 years ago
What is the probability of spinning green on the first spinner and blue on the second spinner?
Reil [10]

Answer:

%50

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
The total sales were $200 more than the manager's prediction. If x represents the manager prediction, write an expression to rep
OverLord2011 [107]

Answer:

y = 200 + x

Step-by-step explanation:

Given

Prediction = x

Sales = \$200\ more

Required

Determine the actual sales

Represent the actual sales with u

y = Sales + Prediction

y = 200 + x

<em>Hence, the total sales can be expressed using y = 200 + x</em>

4 0
3 years ago
An important factor in selling a residential property is the number of times real estate agents show a home. A sample of 23 home
yanalaym [24]

Using the t-distribution, it is found that:

a. The <u>margin of error</u> is of 4.7 homes.

b. The 98% confidence interval for the population mean is (19.3, 28.7).

The information given in the text is:

  • Sample mean of \overline{x} = 24.
  • Sample standard deviation of s = 9.
  • Sample size of n = 23.

We are given the <u>standard deviation for the sample</u>, which is why the t-distribution is used to solve this question.

The confidence interval is:

\overline{x} \pm M

The margin of error is:

M = t\frac{s}{\sqrt{n}}

Item a:

The critical value, using a t-distribution calculator, for a two-tailed <u>98% confidence interval</u>, with 23 - 1 = <u>22 df</u>, is t = 2.508.

Then, the <em>margin of error</em> is:

M = t\frac{s}{\sqrt{n}} = 2.508\frac{9}{\sqrt{23}} = 4.7

Item b:

The interval is:

\overline{x} - M = 24 - 4.7 = 19.3

\overline{x} + M = 24 + 4.7 = 28.7

The 98% confidence interval for the population mean is (19.3, 28.7).

A similar problem is given at brainly.com/question/15180581

3 0
2 years ago
12 spheres of the same size are made from melting a solid cylinder of 1 cm diameter and 2 cm height. Find the diameter of each s
mars1129 [50]

The answer is: The diameter is 4 centimeters.

The explanation  is shown below:

1. The volume of the cylinder is:

Vc=r^{2}h \pi

Where r is the radius (r=\frac{16cm}{2}=8cm) and h is the height (h=2cm).

Then:

Vc=(8cm)^{2}}(2cm)\pi\\Vc=128\pi

2. The total volume of the 12 spheres is:

Vs=12(\frac{4}{3}r^{3}\pi)\\Vs=16r^{3}\pi

3. The volume of the cylinder and the total volume of all the 12 spheres, are equal, therefore:

Vc=Vs\\128\pi=16r^{3}\pi

4. Now, you must solve for the radius:

r=\sqrt[3]{\frac{128\pi}{16\pi}}\\r=2cm

5. The diameter is:

d=2r\\d=2(2cm)\\d=4cm

5 0
3 years ago
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