simplify (4x^3)^2 (3x^5)

If the distance between the cliff and the boat is 400 feet. Then the height of the cliff will be 186.52 feet.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The angle of elevation to the top of a cliff is 25 degrees from a boat on the lake.

If the distance between the cliff and the boat is 400 feet.

Then the height of the cliff will be

Let x be the height of the cliff. Then we have

tan θ = height of cliff/ distance between cliff and boat

tan 25° = x/400

x = 400 tan 25°

x = 186.52 feet

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1. The loan balance after 2 years is $45,262.

2. The loan balance after 3 years is $42,678.

3. The loan balance after 1 year is $47,700.

The loan balance is the amount remaining from the principal amount after the deduction of repayment and the addition of interest for the period.

The loan balance can be computed manually as below:

Loan amount = $50,000

Interest rate = 6%

Annual repayments = $5,000

1st year:

Loan amount = $50,000

Repayment = ($5,000)

Interest = $2,700 ($50,000 - $5,000) x 6%

Loan balance = $47,700 ($50,000 - $5,000 + $2,700)

2nd year:

Loan balance = $47,700

Repayment = ($5,000)

Interest = $2,562 ($47,700 - $5,000) x 6%

Loan balance = $45,262 ($47,700 - $5,000 + $2,562)

3rd year:

Loan balance = $45,262

Repayment = ($5,000)

Interest = $2,416 ($45,262 - $5,000) x 6%

Loan balance = $42,678 ($45,262 - $5,000 + $2,416)

Thus, the loan balance after 3 years is $42,678.

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Answer:

they are all called numbers

Step-by-step explanation:

Answer:

o 0.5(6+12) ● 3

Step-by-step explanation:

because when you 2x2 is 6 +2 is 12 so the answer is that

Answer:

90

Step-by-step explanation:

Since the sum of a circle is 360, just divide 360 and 1/4.

Using conditional probability, it is found that the correct statement is given by:

C. If P(A | B) = P(A) and P(B | A) = P(B), then the events are independent.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

If two events are independent, we have that:

[tex]P(A \cap B) = P(A)P(B)[/tex].

Hence:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]

[tex]P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{P(A)P(B)}{P(B)} = P(A)[/tex]

Which means that option C is correct.

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Answer:

204.35

Step-by-step explanation:

500-295.65+204.35

Answer:

47.5

Step-by-step explanation:

38/80x100%=47.5

Answer:

47.5%

Step-by-step explanation:

Before we get started in the fraction to percentage conversion, let's go over some very quick fraction basics. Remember that a numerator is the number above the fraction line, and the denominator is the number below the fraction line. We'll use this later in the tutorial.

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.

So, since our denominator in 38/80 is 80, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 80 = 1.25

ow we can see that our fraction is 47.5/100, which means that 38/80 as a percentage is 47.5%.

We can also work this out in a simpler way by first converting the fraction 38/80 to a decimal. To do that, we simply divide the numerator by the denominator:

38/80 = 0.475

Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:

0.475 x 100 = 47.5%

And there you have it! Two different ways to convert 38/80 to a percentage. Both are pretty straightforward and easy to do, but I personally prefer the convert to decimal method as it takes less steps.

I've seen a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you follow the steps laid out here it should be simple. That said, you may still need a calculator for more complicated fractions (and you can always use our calculator in the form below).

If you want to practice, grab yourself a pen, a pad, and a calculator and try to convert a few fractions to a percentage yourself.

Hopefully this tutorial has helped you to understand how to convert a fraction to a percentage. You can now go forth and convert fractions to percentages as much as your little heart desires!

Answer:

[tex]N + M = \begin{pmatrix}17.3&7.3\\ -5.2&-1.6\\ -8.2&-4.7\end{pmatrix}[/tex]

Step-by-step explanation:

[tex]\begin{pmatrix}9.1&7.9\\ -2.4&0.2\\ -5.8&1.4\end{pmatrix} +\begin{pmatrix}8.2&-0.6\\ -2.8&-1.8\\ -2.4&-6.1\end{pmatrix} =\begin{pmatrix}9.1+8.2&7.9-0.6\\ -2.4-2.8&0.2-1.8\\ -5.8-2.4&1.4-6.1\end{pmatrix}[/tex]

Then

[tex]\begin{pmatrix}9.1&7.9\\ -2.4&0.2\\ -5.8&1.4\end{pmatrix} +\begin{pmatrix}8.2&-0.6\\ -2.8&-1.8\\ -2.4&-6.1\end{pmatrix} =\begin{pmatrix}17.3&7.3\\ -5.2&-1.6\\ -8.2&-4.7\end{pmatrix}[/tex]

Answer:

c

Step-by-step explanation:

I took the test, and that was the correct answer. I hope this helps!

Answer:

107/33

Step-by-step explanation:

Answer: R62,500

Step-by-step explanation:

To find the discount, simply multiply 12.5% (0.125 in decimal form) with 500,000

500,000 x 0.125 = 62,500

Answer:

  ₹62,50

Step-by-step explanation:

The amount of discount is found by multiplying the discount rate by the amount being discounted.

  discount = 0,125 × ₹500,00 = ₹62,50

You will receive a discount of ₹62,50.

_____

Additional comment

Here, a comma is used to separate the units part of the number from the fractional part of the number. This decimal separator is an alternative to the use of a period or centered dot (·) for that purpose.

Answer:

750

Step-by-step explanation:

FORMULA FOR VOLUME

L×W×H

L:5

W:25

G:H

5x25x6=750

The average rate of change for f(x) and g(x) are respectively 2.25 and -2 and so we can say that f(x) is moving more quickly.

Formula for the average rate of change is;

f'(x) = (f(b) - f(a))/(b - a)

Thus;

1)  Average rate of change of f(x) over the interval from x = 2 to x = 6 is;

f'(x) = (f(6) - f(2))/(6 - 2)

We are given;

f(6) = 10 and f(2) = 1

Thus; f'(x) = (10 - 1)/4 = 2.25

2)  Average rate of change of g(x) over the interval from x = 0 to x = 4 is;

g'(x) = (g(4) - g(0))/(4 - 0)

We are given;

g(4) = 0 and g(0) = 8

Thus; g'(x) = (0 - 8)/4 = -2

3) From the average rate of change of both functions, we see that f(x) is positive and has a higher rate of change and so we can say that f(x) is moving more quickly.

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Answer:

it should be the third one

Step-by-step explanation:

I just learn this all today and I'm pretty sure its the third one

The axis on a graph that shows the dependent variable is the: vertical or y-axis.

The dependent variable is the variable that is affected by an independent variable. That is, a change in the independent variable, causes the dependent variable to change.

On a graph, the dependent variable (outcome) is usually plotted on the y-axis (vertical axis).

Thus, the axis that shows the dependent variable is the vertical or y-axis.

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Answer:  1/3  The spaces are equal, and there are 2 favorable outcomes; out of 6 possible outcomes.  That comes out to 2/6, and 2/6 reduced is 1/3

Answer:

Ur ans is 40 minutes.

Step-by-step explanation:

I hope it helps u dear! ^_^

Answer:

First, we have to add 3 to both sides.
[tex]\sqrt{2x} - 3 + 3 = 2 + 3[/tex]

Then we simplify the equation,
[tex]\sqrt{2x} = 5[/tex]

Divide both sides of the equation by [tex]\sqrt{2}[/tex]
[tex]\frac{\sqrt{2x} }{\sqrt{2}} = \frac{5}{\sqrt{2}}[/tex]

Finally, simplify.
[tex]x = \frac{5\sqrt{2}}{2}[/tex]

Therefore, our answer is [tex]x = \frac{5\sqrt{2}}{2}[/tex]

3.5

Step-by-step explanation:

square means 1/2.so,1/2(2x-3)=(2)^2

then square cancel by square. 2x-3=4

2x=4+3, 2x=7then divided by 2.

x=3,5

Each transaction has been an analyzed in the trial balance below by showing its effects on the accounting equation-specifically, identifying the accounts and amounts.

The Journal Entries are:

Cash                                                                                 6500

Photography equipment                                                33500

                  Capital                                                                       40000

Prepaid Insurance                                                           2100

                   Cash                                                                         2100

Office Supplies                                                                  880

                  Cash                                                                          880

Cash                                                                                   3331

           Revenue                                                                          3331

Utilities Expense                                                                 675

           Cash                                                                                 675

Cash account = 6500 - 2100 - 880 + 3331 - 675

Cash Account = 6176

                                                     Trial Balance

                                                                              Debit                         Credit

Cash                                                                       6176

Prepaid Insurance                                                  2100

Supplies                                                                   880

Revenue                                                                                                      3331

Utilities Expense                                                      675

Capital                                                                                                       40000

Photography Equipment                                         33500

Total                                                                         43331                       43331

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The cardinality of a set refers to the number of elements in the set. It is found by counting  the elements in the set.

The cardinality of a set refers to the number of elements in the set. To obtain the cardinality, we have to count the elements in the set.

a) There are 6 elements in this set hence the cardinality is 6.

b) There is only one element in the set hence its cardinality is 1.

c) There are two elements in the set hence the cardinality is 2.

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Answer:

150.72

Step-by-step explanation:

V = 4/3(pi r squared)

V = 4/3 3.14 (6 squared)

V = 150.72

[tex]~~~~~~~\cos^2 \left(34^{\circ}\right) - \sin^2 \left( 34^{\circ} \right)=\cos A\\\\\implies \cos \left( 2 \cdot 34^{\circ} \right) = \cos A~~~~~~~~~~~~~;[\cos 2x = \cos^2 x -\sin^2 x]\\\\\implies \cos \left(68^{\circ}\right) = \cos A\\\\\implies A = 68^{\circ}[/tex]

Answer:

Step-by-step explanation:

when a number x is added to it's square, the total is 12. find two possible values of x

x+x^2=12

x^2+x=12

x^2+x−12=12−12

x^2+x−12=0

(x−3)(x+4)=0

x−3=0 or x+4=0

x=3 or x=−4

x=3 or x=−4

The area of the circle will be equal to 11309.733 square centimetres.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

The area of the circle will be calculated by the following formula:-

Area = πr²

Area = π x ( 60 x 60 )

Area = 3.14 x 60 x 60

Area = 11309.733 square centimeters.

Therefore the area of the circle will be equal to 11309.733 square centimetres.

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Using the normal distribution, it is found that 0.13% of American women CANNOT use the bicycles designed by this company.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 65, \sigma = 3.5[/tex]

The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{54.5 - 65}{3.5}[/tex]

Z = -3

Z = -3 has a p-value of 0.0013.

0.0013 = 0.13% of American women CANNOT use the bicycles designed by this company.

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The problem with the study is that Some of the sample data are missing.

A survey is a study that aims at obtaining the responses of people based on a questionnaire. The subjects are selected at random in such a way that the sample is representative of the population.

In this study, the problem with the study is that Some of the sample data are missing.

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Answer: D) The results is a precise number

The book has the greater mass is book A and It is 60 grams greater.

The table of values is given as;

              1-kilogram   500-gram   100-gram    10-gram

Book A       1                    0                7                    4

Book B       0                    3                1                    8

The weights of the books are calculated as:

Book A = 1 * 1kg + 0 * 500g + 7 * 100g +4 * 10g = 1740 g

Book B = 0 * 1kg + 3 * 500g + 1 * 100g +8 * 10g = 1680 g

1740 is greater than 1680 by 60

This means that the book has the greater mass is book A and It is 60 grams greater.

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