Select the equivalent expression.
(2^-4 x z^-3)^5 =
Choose 1 answer:

Select The Equivalent Expression.(2^-4 X Z^-3)^5 =Choose 1 Answer:

Answers

Answer 1

Answer:

A

Step-by-step explanation:

[tex](2^{-4}z^{-3})^{5}[/tex]

several ways to approach this.

use power rule.  [tex](a^{m} )^{n} = a^{mn}[/tex]

[tex](2^{(-4*5)}z^{(-3*5)} )[/tex]

[tex](2^{-20} z^{-15} )[/tex]

RULE:  [tex]x^{-1} = \frac{1}{x}[/tex]

[tex]\frac{1}{(2^{20}z^{15}) }[/tex]


Related Questions

Ann wants to buy a coffee machine. She knows, that during the holidays, the probability of a discount of more than 10% is 0.87, on weekends, the probability of a discount of more than 10% is 0.38, and on a regular weekday, it is 0.17. On average there are 15 holidays per year, 100 weekends (holiday weekends are excluded) and 250 weekdays. Find the probability of a discount of more than 10% for the randomly chosen day. Find the probability that it was a weekend if it is given that she bought a machine with a discount of more than 10%.

Answers

Answer:

Let's denote:

P(discount on 15 holidays) = P(A) = 0.87

P(discount on 100 weekends) = P(B) = 0.38

P(discount on 250 weekdays) = P(C) = 0.17

=> The probability of a discount of more than 10% for the randomly chosen day: P = P(A) x 15/360 + P(B) x 100/360 + P(C) x 250/360

          = 0.87 x 15/360 + 0.38 x 100/360 + 0.17 x 250/360

          = 0.26

Given she bought a machine with a discount of more than 10%, the probability that it was a weekend would be:

P  = 100/(100 + 250 + 15) = 0.27

Hope this helps!

:)

Answer:

1. 0.256

2. 0.406

Step-by-step explanation:

Total days:

15 + 100 + 250 = 365

P(more than 10% discount)

= (0.87×15/365) + (0.38×100/365) +(0.18×250/365)

= 1871/7300

0.2563013699

P(weekend/more than 10% discount)

= (0.38×100/365) ÷ (1871/7300)

= 760/1871

0.4061998931

Will give brainliest answer

Answers

Answer

Step-by-step explanation:

To find the area of a shape multiply its height by its width. For a square  you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

please mark me as brainliest.

Answer:

[tex]7 units^2[/tex]

Step-by-step explanation:

You can split this irregular shape into a square and a trapezoid.

The formula for a square is:

[tex]A=lw[/tex]

The formula for a right trapezoid:

[tex]A=\frac{1}{2} (h)(a+b)[/tex]

Area of square:

[tex]A=(2)(2)\\A=4[/tex]

Area of right trapezoid:

[tex]A=\frac{1}{2} (2)(1+2)\\A=3[/tex]

Add up the individual areas to find the overall:

4 + 3 = 7

What is the perimeter of this rectangle? Will mark brainliest.

Answers

Answer:It's C, 425 ft.

Step-by-step explanation:

You multiply 17 ft. by 25 ft.

Answer:

84 feet

Step-by-step explanation:

there are 4 sides: 17 feet, 17 feet, 25 feet, and 25 feet

to get perimeter you add all the sides together. 17+17=34 then 25+25=50. 50+34=84.

therefore 84 feet is your answer.

y = 5x – 6
Identify the y-intercept of the
following equation.

Answers

Answer:-6

Step-by-step explanation:

Answer:

ez

Step-by-step explanation:

6 negative

Vince began practicing piano at 11:15 P.M He stopped at 11:35 P.M How many degrees did the minute hand turn during Vince practice time? Complete the explanation how you found your answer

Answers

Answer:

Vince began practicing piano at 11:15 P.M

He stopped at 11:35 P.M

=> He practiced in 35 - 15 = 20 mins = 1/3 hour.

=> 1/3 hour means 1/3 circle, the number of degrees the minute hand turned:

N = (1/3) x 360 = 120 deg (1 circle = 360 deg)

Hope this helps!

:)

*Answer*
120 degrees

*Explanation*
A clock is a circle and therefor has 360 degrees. To find how many degrees are in a five minute time span, divide 360 by 12 (the amount of five minute “chunks”)

360/12 = 30

Between 11:15 and 11:35, 20 minutes pass. 20/5 = 4, which means there are 4 five minute intervals. Multiply that by 30, the amount of degrees in every five minute “chunk”

4 x 30 = 120

That means the hand moved 120 degrees.

Hope I could help.

Mark placed a pool in his backyard, which is enclosed by a triangular fence. The radius of the pool is 20.5 feet.

Answers

Answer:

A. 3,864 ft²

B. 1,319.585 ft²

C. 2,544.415 ft²

Step-by-step explanation:

Area of triangle:

½ × 92 × 84

3864 ft²

Area of circle:

pi × r²

3.14 × 20.5²

1319.585 ft²

Difference:

3864 - 1319.585

2544.415 ft²

Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 6% if no money is added or withdrawn from the account answer the following questions how much will be in the account in four years how much will be in the account after 16 years how many years will it take for the account to contain $2000 How many years will it take for the account to contain $2500

Answers

Answer:

In 4 years = $1,893.72

In 16 years = $3,810.53

years to contain $2,000 = 4.9371454128

years to contain $2,500 = 8.766692911

Step-by-step explanation:

In 4 years

A = 1,500 (1 + 0.06)^4

  = $1,893.72

In 16 years

A = 1,500 (1 + 0.06)^16

   = $3, 810.53

to find number of years

t = ln (A/P) / ln (1+r)

when A = 2,000

t = ln(2,000/1,500) / ln(1+0.06)

 = 4.9371454128 years

when A = 2,500

t = ln(2,500/1,500) / ln(1+0.06)

 = 8.766692911 years

PS: You can also use log in place of ln

The number of years it will take for the account to contain $2000 is 4.94 years while it will take 8.77 years to contain $2500.

Calculation of future value and the number of years it takes

Let:

PV = Present value = $1,500

r = Interest rate = 6%, or 0.06

n = number of years

FVn = Future value after a certain number of years

Therefore, we have:

The amount that will be in the account in four years can be calculated using the future value (FV) formula as follows:

FV4 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^4 = $1,893.72

Therefore, the amount that will be in the account in four years is $1,893.72.

The amount that will be in the account after 16 years can also be calculated using the future value (FV) formula as follows:

FV16 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^16 = $3,810.53

Therefore, the amount that will be in the account after 16 years is $3,810.53.

The number of years will it take for the account to contain $2000 can be calculated using the following formula:

n = (log(FV/PV)) / (log(1+r)) = (log($2,000/$1,500)) / (log(1+0.06)) = 0.1249387366083 / 0.0253058652647703 = 4.94 years

Therefore, the number of years it will take for the account to contain $2000 is 4.94 years.

The number of years it will take for the account to contain $2500 can be calculated using the following formula:

n = (log(FV/PV)) / (log(1+r)) = (log($2,500/$1,500)) / (log(1+0.06)) = 0.221848749616356 / 0.0253058652647703 = 8.77 years

Therefore, the number of years it will take for the account to contain $2000 is 8.77 years.

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The radius of the earth is 3959 miles. A meteor with a diameter of 750 miles strikes the earth in an unpopulated area. What percent of the earths surface is affected by the meteor strike? Is it a 36% be 0.9% C9% or D3.6%

Answers

Answer:

B. 0.9%

Step-by-step explanation:

If the diameter of the meteor is 750 miles, then its radius is 750/2 = 375 miles

The radius of the earth is 3959 miles

Assuming that both bodies are spherical, their surface are:

meteor's surface: π*r² = π*375² = 441786.467 miles²

Earth's surface: π*3959² = 49240321.1 miles²

If 49240321.1 miles² represents 100% then 441786.467 miles² represents:

49240321.1 miles² / 100% = 441786.467 miles² / x%

x = 441786.467/49240321.1*100

x = 0.9%

Answer:

B) 0.9%

Step-by-step explanation:

Solve the system of linear equations by adding or subtracting.


3x + 7y = −17
4x − 7y = 10


Enter your answer as an ordered pair.

Answers

Answer:

3x + 7y = −17

4x − 7y = 10

Add up both sides of 2 equations, then

7x = -7

=> x = 1

=> y =(3 x 1 - 17)/7 = -14/7 = -2

Hope this helps!

:)

If cos A = 12/13 , and ∠A is in the fourth quadrant, find the exact value of sin2A.

Answers

Answer: 0.71

Step-by-step explanation:

we have that cos(A) = 12/13

then:

A = Acos(12/13) = 22.62°

But A is in the fourth quadrant, so A is actually 22.62° + 180° = 202.62°

Then Sin(2A) = sin(2*202.62°) = 0.71

5. The length of a rectangle is 5 inches greater than the width.
Question
Answer
a. Write an expression for the width of the rectangle.
b. Write an expression for the length of the rectangle.
multiply

Answers

Answer:

see below

Step-by-step explanation:

Let w = width

L = length = w+5

The area is l*w

A = (w+5)*w

A = w^2 +5w

Find the radius of a cylinder with volume
351.9 cubic cm and height 7 cm.

Answers

Answer:

4

Step-by-step explanation:

Answer:

4 cm

Step-by-step explanation:

Volume of cylinder = [tex]\pi[/tex]r²h

Radius = [tex]\sqrt{\frac{V}{\pi h} }[/tex]

Radius = [tex]\sqrt{\frac{351.9}{\pi 7} }[/tex]

Radius = [tex]\sqrt{\frac{351.9}{21.98} }[/tex]

Radius ≈ [tex]\sqrt{16}[/tex]

Radius ≈ 4

So, the radius is about 4 cm.

100 points!

The following data shows the weight, in pounds, of 6 boxes:

5, 3, 3, 4, 5, 4

What is the value of the mean absolute deviation of the weight of the boxes, and what does it represent about the weight of a box?

A))1.2 pounds; on average, the weight of a box varies 1.2 pounds from the mean of 4 pounds

B))0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound

C)) 1.2 pounds; the weight of 50% of the boxes is greater than 1.2 pounds

D))0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds

Answers

Answer:

The answer is D. Let me know if you don't understand that.

Step-by-step explanation:

Hi!

To find the Mean Absolute Deviation (MAD) of the weight of the boxes, first find the mean.

5 + 3 + 3 + 4 + 5 + 4 = 24

24/6 = 4

Now find the absolute distance from the mean for each of the numbers by subtracting the mean from each of the numbers. It doesn't matter if it's negative.

5 - 4 = 1

3 - 4 = 1

3 - 4 = 1

4 - 4 = 0

5 - 4 = 1

4 - 4 = 0

Now find the mean of those numbers.

1 + 1 + 1 + 0 + 1 + 0 = 4

4/6 = 0.7

So now we know the answer is either B or D.

B. 0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound

D. 0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds

Hope this helps! :)

-Peredhel

The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds

Option D is the correct answer.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

To find the mean absolute deviation, we first need to find the mean weight of the boxes:

Mean = (5+3+3+4+5+4)/6 = 24/6 = 4 pounds

Next,

We calculate the absolute deviations from the mean for each weight:

So,

|5-4| = 1

|3-4| = 1

|3-4| = 1

|4-4| = 0

|5-4| = 1

|4-4| = 0

Then,

We find the mean of the absolute deviations:

(1+1+1+0+1+0)/6 = 4/6 = 0.67 = 0.7

This means that on average, the weight of a box varies by 0.7 pounds from the mean weight of 4 pounds.

Therefore,

The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds (rounded to one decimal place).

Learn more about mean here:

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Use the grouping method to factor the polynomial below completely.
3x3 + 9x2 + 4x + 12
O A. (3.2 + 4)(x+4)
O B. (3x2+3)(x + 4)
O c. (3x2 + 4)(x+3)
O D. (3x + 3)(x+3)​

Answers

Answer:

C. (3x^2+4)(x+3)

Step-by-step explanation:

3x^3+9x^2+4x+12

=(3x^3+9x^2)+(4x+12)

=3x^2(x+3)+4(x+3)

=(3x^2+4)(x+3)

Therefore, C. (3x^2+4)(x+3)

The correct factor of the polynomial is,

⇒ (x + 3) (3x² + 4)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 3x³ + 9x² + 4x + 12

Now, We can factor the polynomial as;

⇒ 3x³ + 9x² + 4x + 12

⇒ 3x² (x + 3) + 4 (x + 3)

⇒ (x + 3) (3x² + 4)

Thus, The correct factor of the polynomial is,

⇒ (x + 3) (3x² + 4)

Learn more about the mathematical expression visit:

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Please tell me the answer quick

Answers

Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Hey guys I need help with this exercise can someone plz help me for 20 points?? Also write the explamation to your answer plzz!

Math problem: 13 of the same cookbooks weigh 442 grams. What is the weight of 10 of these books?

Answers

Answer:

340

Step-by-step explanation:

442 / 13 = 34

34 × 10 = 340

Answer:

340

Step-by-step explanation:

442 / 13 = 34

34 × 10 = 340

A dance school offers 5 types of classes: jazz, tap, hip-hop, ballet, and lyrical. It conducts 950 classes over the course of a
year. If it conducts the same number of each type of class, how many jazz classes are given?
19
190
475
945

Answers

Answer:190

Step-by-step explanation:

If there are 950 classes over a year and 5 classes then there are 190 classes per class because 950/5=190

The answer is 190 since the same amount of classes are given for each dance you divide 950 by 5 giving you 190. So, that would be he answer for any dance.

5(x-10)=30-15x
Ox=1
Ox=4
Ox=5
Ox=8

Answers

Answer:

x = 4

Step-by-step explanation:

5x-50=30-15x

5x +15x =30+50

20x= 80

Divide both sides of the equation by 20

x = 4

I hope it helps

Help I will mark BRAINLIEST if correct please help

Answers

Answer:

[tex](-\frac{1}{4}, \frac{5}{8} )[/tex]

Step-by-step explanation:

If you label the points on the axes, it will show that point K is actually on [tex]\frac{5}{8}[/tex] not [tex]\frac{3}{4}[/tex]

Drag the tiles to the correct boxes to complete the pairs.
Match each situation to the simulation that represents it.

Althea has to select 1 student
as the class representative
from 13 students.

Fiona is deciding which of three
forests to research for a
geography project: evergreen,
deciduous, or coniferous.

Jenny is picking a marble from
a jar with two green marbles, six
yellow marbles, and two red
marbles.

rolling a six-sided die



selecting a playing card from
the hearts suit



spinning a spinner divided into
five equal sections


Answers

Answer: rolling a six sided die☞︎Fiona forest research

Hearts suit☞︎Althea class representative

Spinner☞︎ Jenny marbles

Step-by-step explanation:

Answer:

Fiona= die

Althea=cards

Jenny=Spinner

Step-by-step explanation:

starting off Fiona has three which can evenly go into six.

Althea has 13 options which matches with the number of suits in the hearts

the Jenny would be spinner because 5 times 2 is 10

-3x+1/2=3/8
Whats x? pls someone help step by step

Answers

Answer:

x = -1/24 = -0.042

Step-by-step explanation:

Step  1  :   Simplify  3/8

Step  2 :

Rewriting the whole as an Equivalent Fraction

Step  3  :

Calculating the Least Common Multiple

Equation at the end of step  3  :

 24x + 1

 ———————  = 0  

    8  

Last step:

Solving a Single Variable Equation :

5.2      Solve  :    24x+1 = 0  

Subtract  1  from both sides of the equation :  

                     24x = -1

Divide both sides of the equation by 24:

                    x = -1/24 = -0.042

Hope this helps.

Michelle wants to run a total of 15 miles per week. She runs 3 miles
each day d that she runs. Will she meet her goal by running 5 days
per week?

Answers

Answer:

Yes because 3x5 is 15

Step-by-step explanation:

pls help will mark as brainliest

Answers

Answer:

C  F

Step-by-step explanation:

Answer:

2/10 is equivalent to 1:5

6:30 is equivalent to 1:5

8 to 40 is equivalent to 1:5

Step-by-step explanation:

i need help ASAP. you need to be good at fractions.
fill in the missing numbers:
2/3 = _/6 = 12/_ = _/21

Answers

[tex]\frac{2}{3}[/tex]

[tex]\frac{4}{6}[/tex]

[tex]\frac{12}{18}[/tex]

[tex]\frac{14}{21}[/tex]

I hope this helps :)

Answer:

2/3= 4/6= 12/18= 14/21

Step-by-step explanation:

2/3= __/6

you know that that denominator doubles because 3*2=6, so what you do to the denominator you have to do to the numerator and vice versa. 2*2= 4 so the answer would be 4/6

To find 12/__

You should know that everything is equal to 2/3 in this equation. To get from 2 to 12 you need to multiply by 6. what you do to the top you have to do to the bottom. 3*6=18

_/21

You times 2/3 by 7 because 3*7=21.

2*7=14

Twenty-four 4-inch wide square posts are evenly spaced with 5 feet between adjacent posts to enclose a square field, as shown. What is the outer perimeter, in feet, of the fence? Express your answer as a mixed number.

Answers

Answer:

129 1/3

Step-by-step explanation:

According to Alcumus, "There are 20 square posts which are not on a corner, so there are $20/4=5$ square posts on each side, not including the corner posts. Including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts. Altogether the length of a side is $7\left(\frac{1}{3}\right)+6(5)=32\frac{1}{3}$ feet. The perimeter of the square is four times the side length, so the perimeter is $4\cdot 32\frac{1}{3}=\boxed{129\frac{1}{3}}$ feet."

The outer perimeter is 129 1/3 feet.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Twenty-four 4-inch wide square posts are evenly spaced with 5 feet.

So, there are $20/4

                   =5$ square posts on each side, not including the corner posts.

and, including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts.

Then, the length of a side is

= 7 1/3 + 6(5)

= 32 1/3 feet

and, The perimeter of the square

= 4 x 32 1/3

= 129 1/3 feet

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What is the volume of the following rectangular prism?

Answers

Answer:

529 units squared

Step-by-step explanation:

Which type of graph would you use to show the number of pages in each book on the bookshelf?

Answers

Answer:

stem and leaf plot

Step-by-step explanation:

:) trust

please help me out! i have a few more of these questions, about 4

Answers

Step-by-step explanation:

You can make a table of values to find the points that belong to the line and then draw the line through those points. Here are some: (-6, -2), (0, -1), and (6, 5). You can use any value for x in your table. Hope this helps!

Answer:

Step-by-step explanation:

put a point in at negative 1 first; that is the y value.

Then, go up 1 then to the right six points. that should result in the next point being at (0,6).

Keep going and draw a line

Functions math, please help​

Answers

Answer:

Slope: 2

Y-intercept: (0,-7)

Step-by-step explanation:

2(x-3)=y+1

distribute the 2 through the parentheses

2x-6=y+1

2x+6=0+1

(change the y to 0)

2x-6=1

add 6 to both sides(+6 cancels out -6)

2x=1+6

divide both sides by 2

x=7/2 or x=3.5

hope this helps!

Event A: stops on red

Event B: stops on yellow

Find P(A or B)

A.) 1/4
B.) 1/8
C.) 1/2
D.) 1/16

Answers

Answer:it is 1/2

Hopefully this helps

Answer:

Event A: stops on red

Event B: stops on yellow

Find P(A or B)

1/2

Other Questions
Zoning laws help prevent. new businesses from competing with old businessesb new buildings from being developedcnew development from negatively impacting established businesses and residentsd new factories from being introduced in an areaPlease select the best answer from the choices providedGA Jaron lives near a river that flows through farmland. He notices that the river has become more polluted over the years. The water that was once clear is now sometimes cloudy and has an unpleasant odor. What is the most likely cause of the pollution in the river? A.heat B.oil and gasoline C.industrial wastes D.pesticides and fertilizer Explain the development of economic systems, ideologies, and institutions and how they contributed to change in the period from 1750 to 1900 During the symphony, the entire orchestra was harmonized by the solemn conductor.What is the best way to change this sentence from passive voice to active voice? A. The entire orchestra, during the symphony, was harmonized by the solemn conductor. B. The solemn conductor harmonized the entire orchestra during the symphony. C. The entire orchestra was harmonized by the solemn conductor during the symphony. D. The solemn conductor was harmonized by the entire orchestra during the symphony. Por qu el plstico resulta perjudicial para el planeta y la vida humana?El plstico ser el nico agente contaminante del planeta? Please help as soon as possible! Thank you! Need help with this ASAP. Which regions were affected by the Cold War? There is one missing number in the Which One Doesnt Belong game. Select a number that does not belong with any of the numbers. Explain your reasoning.Select a number that has a characteristic similar to the other two numbers. Explain your reasoning. Which of the following ecological levels is correctly paired with its description?A) Organism - all of the species living in a given areaB) Community - a group of one species living in a given areaC) Population - the regions on Earth that can support lifeD) Ecosystem - all of the living and nonliving factors in an environmentE) Biosphere - anything that meets all of the characteristics of life 20 pts! list some examples of issues in the United States that would be considered domestic policies.pls help :/ what is a decomposer? A living things that eat other living things B one that produces or makes their own food C organisms that break down plants and animals remain waste. help! Help me stuck on this!!!!!Explain THREE reasons why some entrepreneurs may prefer to keep their businesses small. The management of Ballard MicroBrew is considering the purchase of an automated bottling machine for $74,000. The machine would replace an old piece of equipment that costs $19,000 per year to operate. The new machine would cost $9,000 per year to operate. The old machine currently in use could be sold now for a salvage value of $31,000. The new machine would have a useful life of 10 years with no salvage value. Required: 1. What is the annual depreciation expense associated with the new bottling machine The Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed. What is the independent variable in this relationship? HELP FAST this is a late assignment Which of the following lists the order of taxonomic levels from the largest to the smallest group?domain, kingdom, class, order, family, phylum, genus, speciesspecies, genus, family, order, class, phylum, kingdom, domainclass, family, order, domain, kingdom, phylum, genus, speciesdomain, kingdom, phylum, class, order, family, genus, species Which of the following numbers is not a rational number? -3 2.7 4 5 Identifying Plant TissuesIdentify the plant tissues in the three images.A BC B. You overheard part of your friend's telephone conversation. Complete the questions you assume she is answering. Follow the model. Modelo De dnde eres? Soy de San Antonio, Texas. Symbols haces despus de las clases? Voy a la biblioteca. The price of a car is 15400 before it is reduced by 8%.How much does it cost after the reduction?