[(p^q)^r] is equivalent to [p^ (q^r)]

Answers

Answer 1

Answer:

True

Step-by-step explanation:

Just write down the answer.

Related Questions

Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as divergent.

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The integral\int(1/x^4 + 9x^2) dx converges by comparison to a convergent integral, and its value is 1/3

To determine whether the integral converges or diverges, we can use the limit comparison test with the integral:

Since for all x > 0, we have:

Thus, by the limit comparison test:

converges if and only if converges.

We can evaluate using the power rule of integration:

where C is the constant of integration. Evaluating this integral from 1 to infinity, we get:

∫(1/x^4) dx from 1 to infinity = lim as b → infinity

=> 0 - (-1/3)

=> 1/3

Since the integral dx converges by comparison to a convergent integral, and its value is 1/3.

To learn more about Convergent integral :

Note: The full question is

Determine whether the integral converges or diverges; if it converges, evaluate. (If the quantity diverges, enter DIVERGES. Do not use the [infinity] symbol in your answer.) [infinity] dx x4 + 9x2 1

Select the correct comparison

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Answer:

Step-by-step explanation:

The answer is B. The typical value is greater in set B. The spread is greater in set A

Sinx-sin3x /sin^2x -cos^2x

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The answer is (sin x - 2 sin 3x cos x) / (1 - 2 cos² x). To simplify the given expression, we can use the identity sin 2x = 2sin x cos x.

Substitute the numerator with sin x - sin 3x. Substitute the denominator with sin² x - cos² x to get a common factor.

Substitute sin² x with (1 - cos² x) to get sin x - sin 3x / (1 - cos² x - cos² x).Then substitute sin² x with (1 - cos² x) to get sin x - sin 3x / (1 - 2 cos² x).

Now, use the identity sin 2x = 2sin x cos x to simplify the numerator. sin x - sin 3x can be written as sin x - sin (x + 2x) which equals sin x - [sin x cos 2x + cos x sin 2x].

Now, simplify the expression: sin x (1 - cos² x - cos² x) - sin x cos 2x - cos x sin 2x. We will simplify this expression further, leading us to get sin x (1 - 2 cos² x) - sin 2x cos x.

Finally, the expression becomes sin x (1 - 2 cos² x) - sin 2x cos x / (1 - 2 cos² x). Therefore, the answer is (sin x - 2 sin 3x cos x) / (1 - 2 cos² x).

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PLS HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFF
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.

Write a question that could be answered by solving the equation 10−0.035d=4.

Answers

Answer:

By solving this equation for the variable ' d ', you learn how many days after you fill the tank you'll have to send somebody back to fill it again.

Step-by-step explanation:

Add 1
1/2 and 3/4 and then subtract 1/3

Answer:

I'm confused as to what your asking?

Answer:

y= 2x +1

Step-by-step explanation:

slope 9-7/4-3 = 2/1= 2

y-7 = 2(x -3)

y-7 = 2x -6

y = 2x +1

Exit
Use the table to answer the question.
Frank mows 1 lawn for $30. He made a table of values to show his earnings.

What error did Frank make in completing the table?
A. Frank multiplied 2 by 2 to get 4 and $60 by 2 to get $120.
B. Frank added $15 to $60 to get $75 instead of adding $30 to $60 to get $90.
C. Frank multiplied $15 by 5 to get $75 instead of multiplying $15 by 3 to get $45.
D. Frank incorrectly added to get the amount of money earned for mowing 4 lawns.

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B because you have to add 30 to 60

Answer:

Step-by-step explanation:

How much Hundreds equal 28?

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Answer:

0.28

Step-by-step explanation:

0.28*100=28

complete the table for the equation

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Answer:

(2,5)

(3,-4)

(4,-7)

(5,-4)

(6,5)

When a real zero x = a of a polynomial function fis of even multiplicity, the graph of f ---Select-- the x-axis at x = a, and when it is of odd multiplicity, the
graph of f ---Select-- the x-axis at x = a.

Answers

Answer:

touches

crosses

Step-by-step explanation:

[tex]x=a[/tex] is said to be a zero of a function [tex]f(x)[/tex] if [tex]f(a)=0[/tex]

A zero say [tex]x=a[/tex] has a "multiplicity" equal to [tex]n[/tex], if the factor [tex](x-a)^n[/tex] appears in the polynomial.

When a real zero [tex]x=a[/tex] of a polynomial function [tex]f[/tex] is of even multiplicity, the graph of [tex]f[/tex] touches the x-axis at [tex]x=a[/tex], and when it is of odd multiplicity, the

graph of [tex]f[/tex] crosses the x-axis at [tex]x=a[/tex].

A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450.
What is the interest rate percentage?
Round the answer to the nearest hundredth
Enter your answer in the box.

Answers

Answer:

29.71%

Step-by-step explanation:

The interest rate of the savings account is = 114.3%

Calculation of interest rate percentage of an account

The start up or principal amount (P) = $181.25

Simple interest after 7 years (SI) = $1450

Time or duration (T) = 7 years

To calculate the rate percentage of interest;

R = SI × 100/P×T

R = 1450 × 100/ 181.25 × 7

R = 145000/1268.75

R = 114.3%

Therefore, the interest rate percentage of the savings account is = 114.3%

Learn more about simple interest here:

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determine if the work for each problem is correct correct only errors and explain your thinking

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Answer:

v= BH

the second part is wrong the base is 7.5 not 9.5

so the base look like this

v = 7.5(13)

v = 97.5

Step-by-step explanation:

Which describes the correlation shown in the scatterplot?

Answers

Answer:2,4

Step-by-step explanation:

A recipe calls for ¾ cups of molasses. If you triple the recipe, how much molasses is needed?

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A recipe calls for ¾ cups of molasses. If you triple the recipe, 9/4 cups of molasses would be needed

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A recipe calls for ¾ cups of molasses. If you triple the recipe, the molasses is:

Amount of molasses needed = 3 * (3/4) cup = 9/4 cups

A recipe calls for ¾ cups of molasses. If you triple the recipe, 9/4 cups of molasses would be needed

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4.
A restaurant offers seven kinds of main
courses, nine types of drinks, and four types of
desserts. How many different meals
consisting of a main course, a drink, and a
dessert does the restaurant offer? |

Answers

Answer:

252

Step-by-step explanation:

Types of main courses available = 9

Types of drinks offered = 7

Types of deserts = 4

Number of different meals consisting of a main course, a drink and a desert offered

Using the combination rule :

9C1 * 7C1 * 4C1

nCr = n! ÷ (n-r)!r!

So using calculator we obtain :

Answers

Answer:

We have ,

=> -6m < -24

=> m < -24/-6

=> m < 4

Therefore ,

m € (4,-∞)

a study of the effects of exercis used rats bred to have high or low capacity for exercise. The 8 high capacity rats had mean blood pressure 89 mm Hg and variance 81; the 8 low-capacity rats had mean blood pressure 105 mm Hg with variance 169. What is the value of the two-sample t statistic for comapring the two population means

Answers

Answer:

[tex]t=-2.86[/tex]

Step-by-step explanation:

From the question we are told that:

Sample 1 [tex]n_1=8[/tex]

Sample 1 mean blood pressure [tex]\=x_1=89mmHg[/tex]

Sample 1 variance [tex]\sigma_1=81[/tex]

Sample 2 [tex]n_2=8[/tex]

Sample 2 mean blood pressure [tex]\=x_2=105mmHg[/tex]

Sample 2 variance [tex]\sigma_2=169[/tex]

Generally the equation for the test of statistic is mathematically given by

[tex]t=\frac{\=x_1-\=x_2}{\sqrt{\frac{\sigma_2}{n_1}+\frac{\sigma_2}{n_2} } }[/tex]

[tex]t=\frac{89-105}{\sqrt{\frac{81}{8}+\frac{169}{8} } }[/tex]

[tex]t=-2.86[/tex]

therefore the samples test for comparing the two population means

[tex]t=-2.86[/tex]

According to a NY Times article in 2009, the average selling price of an LCD TV was $700. What would be the cost of that same TV in 2016 dollars?

Answers

The prices of products usually fall due to depreciation and the appearance of new technological objects. In this case, the value of the television would lower its price due to the appearance of other technologies such as LED.

How to calculate LCD TV depreciation?

To calculate the depreciation of the LCD TV, the year of manufacture, the useful life, the prices of new products (generally better), among others, must be taken into account.

A ballpark figure of 15% is generally used to calculate the depreciation of a television per year. In this case, following this pattern, the television would have a value of:

700 - 105 = 595595 - 89.25 = 505.75505.75 - 75.86 = 429.88429.88 - 64.48 = 365.39365.39 - 54.80 = 310.58310.58 - 46.58 = 263.99263.99 - 39.59 = 224.39

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Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.

A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH B!!

B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv
HELP ME PLEASE WITH B I ALREADY SOLVED A

THANK YOU!!

Answers

Answer:x=18

Step-by-step explanation:

if she deposites 40 every week 40 times 18 is 720 so in 18 weeks she can have a t.V

in the month of July 3/8 of the shoes that were sold at the Houston of style footwear were sandals and 1/16 were clogs. what fraction of the shoes where either sandals or clogs?

Answers

Answer:

7/16 of the shoes were either sandals or clogs.

Step-by-step explanation:

Find a CD, which is 16.

Because we multiplied the denominator, we multiply the numerator as well.

3/8 becomes 6/16.

Now, because both of the denominators are the same, we are free to add both of the fractions together.

6/16 + 1/16 = 7/16.

Because this fraction isn't reducible, the answer will be 7/16.

20141
ID
NJ008306927
10
Name
Manuel Negron
Tune Remaining
00:24:41
A toy manufacturer is using
this design to package its
latest toy, What is the volume
of the box?
4.5 in.
6.5 in.
-6.5 in.
DinO-BO
315.5 cubic in
389 cubic in
4.5
435.8 cubic in
650.5 cubic in
-10.4 in.
with y width x height)

Answers

What????? Um I’m so sorry I don’t know

Answer:

315.5cubic in

10.4 x 4.5 x 6.5=

Step-by-step explanation:

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[(p^q)^r] is equivalent to [p^ (q^r)]​

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[(p^q)^r] is equivalent to [p^ (q^r)]