Which expression is equivalent to (3^2)^-2

Answers

Answer 1

Answer: 1/81

First you simplify it to 3^-4

Then express it with a positive exponent which goes to 1/3^4

Then evaluate it to 1/81

Answer 2

Answer:  

The expression which is equivalent to the given expression is given by :

[tex]\bf\frac{1}{81}[/tex]

Step-by-step explanation:

The expression is given to be :

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

Now, we need to find a expression which is equivalent to this given expression.

[tex](3^{2})^{-2}\\\\\implies (3\times 3)^{-2}\\\\\implies (9)^{-2}\\\\\implies\frac{1}{(9)^2}\\\\ \implies \frac{1}{81}[/tex]

Hence, The expression which is equivalent to the given expression is given by :

[tex]\bf\frac{1}{81}[/tex]


Related Questions

need help please
I'm not sure what the answer is​

Answers

Answer:

The answer is (1, -8)

Step-by-step explanation:

The vertex of a parabola is the lowest or highest point on the parabola.

In this graph, the vertex would be the lowest point.

Visually, you can see that the lowest point on this graph is at the point (1, -8).

A computer can produce a list of random numbers.
A. True B. False

Answers

The given statement "A computer can produce a list of random numbers" is true.

What is computer?

"A computer is an electronic device which take input from the user as raw data, process the data into information, and gives output to the user."

What are random numbers?

"Random numbers are numbers that occur in a sequence such that two conditions are met:

The values are uniformly distributed over a defined interval or set, and It is impossible to predict future values based on past or present ones."

"Random numbers are important in statistical analysis and probability theory."

"Computers can generate truly random numbers by observing some outside data, like mouse movements or fan noise, which is not predictable, and creating data from it."

Hence, the correct option is A.

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−3n − 2m + 5n + 8m + 6n2

Please answer this?!!?

The number of terms:

A coefficient:

A pair of fractors:

Answers

Answer:

All together the expression is 6n2 + 6m + 2n.

The number of terms is 3.

A coefficient is 6, 6 or 2.

A factor is 2(3n2+3m + n)

Step-by-step explanation:

Simplify the expression by combining like terms. Like terms are terms which have the same base.

-3n -2m + 5n + 8m + 6n2

These are the like terms:

-3n + 5n = 2n

-2m + 8m =6m

6n2

All together the expression is 6n2 + 6m + 2n.

The number of terms is 3.

A coefficient is 6, 6 or 2.

A factor is 2(3n2+3m + n)

To the nearest square unit, what is the area of the regular octagon shown below?

Answers

1395 square units. Used a website that auto completes it.

Answer:

B. 1395 square units.

Step-by-step explanation:

We have been given an octagon. We are asked to find the area of the given regular octagon.

[tex]\text{Area of octagon}=\frac{a\cdot p}{2}[/tex], where,

a = Apothem,

p = Perimeter.

Let us find apothem of octagon by multiplying 17 by 8.

[tex]\text{Perimeter}=8\times 17[/tex]

[tex]\text{Perimeter}=136[/tex]

Upon substituting our given values in area formula, we will get:

[tex]\text{Area of octagon}=\frac{20.52\times 136}{2}[/tex]

[tex]\text{Area of octagon}=\frac{2790.72}{2}[/tex]

[tex]\text{Area of octagon}=1395.36\approx 1395[/tex]

Therefore, the area of our given octagon is 1395 square units.

14m - 13m =17 m = what

Answers

Answer:

m = 17

Step-by-step explanation:

14m - 13m =17

Combine like terms

m(14-13) = 17

m = 17

Answer:

m=17

Step-by-step explanation:

What is an equation of the line that passes through the points (-1, 6) (−1,6) and (-1, -5) (−1,−5)

Answers

Answer:

x = -1

Step-by-step explanation:

You can write the equation of the line by finding the slope between the points and substitute it with a point into the point slope form.

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{6--5}{-1--1} =\frac{11}{0} = und[/tex]

These points have a slope which is undefined. This means it is a vertical line that crosses through the x-axis at the x-coordinate of both points -1. The equation is x = -1.

Find the volume of the figure: a cone with a square pyramid of the same height cut out. The pyramid has height l, and its square base has area l2.

Answers

Answer:

The volume of the figure is [tex]\frac{l^{3}}{3}[\frac{1}{2}\pi-1]\ units^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the figure is equal to the volume of the cone minus the volume of the square pyramid

step 1

Find the volume of the cone

The volume of the cone is equal to

[tex]V=\frac{1}{3}\pi r^{2} h[/tex]

we have

[tex]r=l\frac{\sqrt{2}}{2}\ units[/tex]

[tex]h=l\ units[/tex]

substitute

[tex]V=\frac{1}{3}\pi (l\frac{\sqrt{2}}{2})^{2}l[/tex]

[tex]V=\frac{1}{3}\pi (\frac{l^{3}}{2} )[/tex]

[tex]V=\frac{1}{6}\pi (l^{3})\ units^{3}[/tex]

step 2

Find the volume of the square pyramid

[tex]V=\frac{1}{3}Bh[/tex]

we have

[tex]B=l^{2}\ units^{2}[/tex]

[tex]h=l\ units[/tex]

substitute

[tex]V=\frac{1}{3}(l^{2})l[/tex]

[tex]V=\frac{1}{3}(l^{3})\ units^{3}[/tex]

step 3

Find the difference

[tex]\frac{1}{6}\pi (l^{3})-\frac{1}{3}(l^{3})=\frac{l^{3}}{3}[\frac{1}{2}\pi-1]\ units^{3}[/tex]

Find the values of x and y.

Answers

Answer:

y=17,x=15

Step-by-step explanation:

180-112=68

68/4=y=17

180-68=112

112-7=105

105/7=x=15

Plz explain me in simplest way. After X2 +17x-60=0 , I couldn't understand.

Answers

Answer:

see explanation

Step-by-step explanation:

Given

x² + 17x - 60 = 0

To factor the quadratic

Consider the factors of the constant term (- 60) which sum to give the coefficient of the x- term (+ 17)

The factors are + 20 and - 3, since

product = + 20 × - 3 = - 60 and sum = + 20 - 3 = + 17, thus

x² + 17x - 60 = (x + 20)(x - 3) = 0

Equate each factor to zero and solve for x

x + 20 = 0 ⇒ x = - 20

x - 3 = 0 ⇒ x = 3

Greta jumps up 2 feet into the air. Her potential energy is 60 Joules. Her kinetic energy is 40 Joules. What is the total mechanical energy?

A. 1,200 Joules

B. 800 Joules

C. 100 Joules

D. 200 Joules


Answers

Answer:

The mechanical energy will be 100 Joules

Step-by-step explanation:

Mechanical energy is the sum of kinetic and potential energy in an object that is used to do work. In other words, it is energy in an object due to its motion or position, or both.

So

Mechanical energy = 60J + 40J

Mechanical energy = 100 Joules

Answer:

The correct answer option is C. 100 Joules.

Step-by-step explanation:

We are given that Greta jumps up 2 feet into the air. Her potential energy is 60 Joules while her kinetic energy is 40 Joules.

We are to calculate her total mechanical energy which will be the sum of her potential energy and her kinetic energy.

So we simply need to add the two given values of the energies.

Total mechanical energy = 60 + 40 = 100 Joules

brando had 15 pairs of kicks,then went nuts and bought a bunch more onlie.After they all showed up.he realized he had 84 pairs of shoes,and was trying to figure out how many pairs of shoes he bought online​

Answers

Brando could subtract the 84 pairs of shoes by 15 to see how much pairs of shoes he bought online

The scores of eighth-grade students in a math test are normally distributed with a mean of 57.5 and a standard deviation of 6.5. From this data, we can conclude that 68% of the students received scores between

Answers

Answer:

51 and 64

Step-by-step explanation:

The Empirical Rule states that 68% of normally distributed data lies within one standard deviation of the mean.

Hence, if the mean is 57.5, one standard dev. above that is 57.5+6.5, or 64, and one standard dev. below the mean is 57.5-6.5 = 51.

Thus,

we can conclude that 68% of the students received scores between 51 and 64.

Final answer:

Approximately 68% of the eighth-grade students received scores between 51 and 64.

Explanation:

In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. So, in this case, 68% of the eighth-grade students received scores between the mean of 57.5 minus one standard deviation of 6.5 and the mean plus one standard deviation.

Calculating the range:

57.5 - 6.5 = 5157.5 + 6.5 = 64

Therefore, we can conclude that approximately 68% of the students received scores between 51 and 64.

90/100÷15 having issues with this problem​

Answers

[tex]You're \ asking: 90/100 \ divided \ by \ 15.\\\\Let's \ do \ this \ together \ in \ steps!\\\\Divide.\\9/10 \ divided \ by \ 15.\\\\Make \ a \ fraction.\\\\9/10 \ x \ 1/15\\\\Simplify.\\\\9x1/10x15\\\\Simplify.\\\\9/150\\\\Simplify.\\\\\fbox{3/50}\\\\\bold{Thanks \  for \ using  \ Brainly!}[/tex]

A cylindrical tree trunk is 17 yards tall from the ground to the first tree branch, and it measures 5 yards around. To the nearest cubic yard, what is the volume of this section of the tree trunk? Use 3.14 for pi.
a 334 cubic yards
b 78 cubic yards
c 1335 cubic yards
d 34 cubic yards

Answers

Answer:

c: 1,335 yd³

Step-by-step explanation:

The formula for volume of a cylinder is V = πr²h  where r is the radius of the base circle, and h is the height of the cylinder

We are given r = 5, and h = 17.  Plug them in and solve for V...

V = π(5²)(17)

    V = π(25)(17)

          V = 425π

              V = 425(3.14) = 1,334.5 yd³,

so 1,335 yd³ rounded to the nearest cubic yard

How long should u spend on your phone

Answers

Answer:

um dunno like 2 hours a day?

Step-by-step explanation:

2x, x representing day? So 2 days = 2*2 = 4 hours?

Answer:

3 hours a day

Step-by-step explanation:

If you are on your phone to much you could have eye problems when you grow up or other problems.

Lake Snider High School surveyed its student population about if they prefer pizza or sushi. The students who prefer pizza represent twenty-seven fewer students than five times the number of students who prefer sushi. If 1,528 students prefer pizza, how many students prefer sushi?

Answers

Answer:

311 students

Step-by-step explanation:

Let s represent the number who prefer sushi

Let p represent the number who prefer pizza

Five times the number who prefer sushi = 5s

27 fewer than (5s) = 5s - 27

P = 5s - 27

1,528 = 5s - 27

1,555 = 5s (add 27 to both sides)

311 = s (divide both sides by 5)

311 students prefer sushi to pizza.

Given that Lake Snider High School surveyed its student population about if they prefer pizza or sushi, and the students who prefer pizza represent twenty-seven fewer students than five times the number of students who prefer sushi, if 1,528 students prefer pizza, to determine how many students prefer sushi the following calculation must be performed:

Sushi = (27 + 1528) / 5 Sushi = 1555/5 Sushi = 311

Therefore, 311 students prefer sushi to pizza.

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Tonya took out a loan to help pay for her house. She borrowed $60,000 for 15 years at a yearly simple interest rate of 5%. How much interest will she end up paying the bank?
A.
$9,000
B.
$450
C.
$45,000
D.
$450,000

Answers

I believe your answer is C). because 5% of 60,000 is 3,000, then 3,000 x 15 = 45,000.

PLEASE HELP!!! WILL MARK BRAINLIEST!!!

#1 Marita uses the pan for corn bread. There is 3/4 inch of space left at the top of the pan when her corn bread is done baking. What is the volume of the corn bread Marita made?


#2 Marita wants to cut the corn bread in 1 1/2 inch squares. Can she do it? Explain.

Answers

Answer:

#1) 108.375 cubic inches

Step-by-step explanation:

For a pan of dimensions 8.5 in x 8.5 in, with height 2.25 in:

If cornbread fills to .75 in from the top, the height of cornbread is 2.25-.75 = 1.5 in

Volume = length*width*height (for rectangular prisms)

So Volume of corn bread = 1.5*8.5^2 = 108.375 cubic inches

For the second part, it is a poorly worded question. Squares are two dimensional, so it realistically cannot be cut into squares. If the question means cubes, the answer is yes to a certain extent. Since the height is exactly 1.5 in, and the pan is 8.5 in x 8.5 in, Marita can cut the cornbread into squares, but she cannot cut all of it into squares since 8.5/1.5 is not a whole number.

The temperature in a city was recorded over a ten-hour period. The graph below shows the relationship between the temperature and the number of hours.

Which statement best interprets information provided by the graph?
A. The temperature in the city increased for some time and decreased for some time.
B. The temperature remained constant for a while.
C. The temperature in the city increased throughout the period.
D. The temperature in the city increased at a constant rate for the entire time.

Answers

Answer:

A

Step-by-step explanation:

From the graph, we can see that the temperature increased initially, then started to decrease. All of these NOT in a constant rate, though.

Roughly, the temperature was increasing from start till around 5.5 hours. Then on the temperature decreased.

So we can eliminate B, C, and D. That leaves us with correct answer as A.

Please Answer Again Lol I got One More After This And I'll Stop Asking And I'll Try Brainlist But If I can't Then I'll Still Say Thanks 10 Points

Answers

It would be C. Hope this helps!
Final answer:

The request lacks the necessary details to determine the subject or educational grade level, and therefore an academic answer can't be provided.

Explanation:

Unfortunately, the query you've provided does not contain enough context or specific content for me to determine neither the subject nor the educational grade level it pertains to. It appears to be a general request for assistance rather than a question related to an academic topic. For future inquiries, please ensure you include the question itself and any pertinent details that would enable me to provide a comprehensive, educational, and helpful response that directly addresses your academic needs.

hello can somebody help me

Answers

Answer:

a1 = 10

an = an-1 * -2

Suze wants to make 5 pies for a party. She needs 1 1/2 cup of confectioners sugar for each pie. She has two bags of confectioners sugars in her pantry. One bad has 3 1/4 cups remaining and the other bag has 6 1/8 cups remaining. How many cups of confectioners sugar Suze have left after she prepares her pies?

Answers

Answer:

1  7/8 cups leftover

Step-by-step explanation:

The total amt. of sugar Suze needs is 5(1  1/2 cups) = 15/2 cups, or 7.5 cups.

Combining the 3  1/4 and 6  1/8 cups of sugar remaining in the bag results in 3 2/8 + 6 1/8 cups, or 9 3/8 cups total.  She needs only 7.5 cups of this sugar.

Thus, she has leftover the following amount:  9 3/8 - 7 4/8 cups, which

simplifies to  1  7/8 cups

Total C.Sugar

3 1/4+6 1/8

=13/4 + 49/8

=26/8 + 49/8

=75/8 cups

Used C.Sugar

1 1/2 × 5

= 3/2 × 5

= 15/2 cups

Remaining C.Sugar

75/8 - 15/2

=75/8 - 60/8

=15/8

=1 7/8 cups

Answer

1 7/8 cups remaining

How do I solve this complicated problem?

Answers

Interesting problem! In order to solve this one, we’ll know some information about the measure of these triangles’ angles. First, remember that triangles have the very unique property that *equal angles sweep out equal lengths*. The other side of that is that if two sides of a triangle are congruent, we know the angles opposite them are congruent, too.

Since all the sides of triangle ABE are congruent, all its angles are congruent, and since the angles of a triangle add to 180, this means that each of the angles in ABE must be 60 degrees (since 60 + 60 + 60 = 180).

The other triangle of notice in the problem is triangle ABC. Notice that, since it’s formed from a square, it’s a *right* triangle. This means that one of its angles must be 90. Sharing two sides with the square ABCD also means that two of the triangle’s sides are congruent, which *also* means the two non-right angles must be congruent. This forces them to be 45 degrees (since 90 + 45 + 45 = 180).

Now, take a look at angle EAC. That small angle is what we end up with if we take angle EAB (an angle of triangle ABE) and subtract angle CAB (part of triangle ABC) from it. EAB measures 60 degrees, and CAB measures 45, so angle EAB must be 60 - 45 = 15 degrees.

At this point, we’re almost done. I want to bring your attention to the point where line segments EB and AC intersect; let’s call that point F. If we want to find the measure of x, we can look at the angle right across from it, angle AFE. Notice that this angle is one of three in the triangle AFE. We’ve already found the other two, actually: angle AEF is 60 degrees, and angle EAF is 15, so to find AFE, we can simply subtract those two from 180 to find a measure of

180 - 60 - 15 = 180 - 75 = 105 degrees.

And since AFE and x are vertical angles, we know x must also be 105 degrees.

what is the answer?​

Answers

[tex]\bf \begin{array}{cll} \cfrac{1}{3}\\\\\cline{1-1}\\ \cfrac{1}{9}~~\cfrac{1}{9}~~\cfrac{1}{9} \end{array}\qquad \implies\qquad \cfrac{1}{3}=\cfrac{1+1+1}{9}\implies \cfrac{1}{3}= \cfrac{3}{9} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{array}{cll} \cfrac{1}{4}\\\\\cline{1-1}\\ \cfrac{1}{8}~~\cfrac{1}{8} \end{array}\qquad \implies\qquad \cfrac{1}{4}=\cfrac{1+1}{8}\implies \cfrac{1}{4}= \cfrac{2}{8}[/tex]

Can someone make this is right? Thanks!!

Answers

You are correct. Nice work.

You should find that each side is 5 units long, so you have a rhombus. Also, each angle is 90 degrees so you have a rectangle. Combine the properties of a rhombus and a rectangle and you get a square as the best description.

Answer:

You are correct

Step-by-step explanation:

If you put the coordinates into a graph, you come out with a square that is slightly rotated.

If f (x)=x2and g(x)=c+6find g(f(0)

Answers

Answer:

6

Step-by-step explanation:

f (x)=x^2and g(x)=x+6  (I will assume you meant x not c)

The first step if to find f(0)

f(0) = 0^2 = 0

Now we find g(f(0))= g(0)

g(0) = 0+6  = 6

g(f(0) =6

If you meant c

Then g(f(0) = c+6

Simplify to create an equivalent expression 6(7-3y)+6(y+1)

Answers

The answer and work is in the attched sheet!

Hope I helped~! :)

Final answer:

The simplified equivalent expression for 6(7-3y)+6(y+1) is -12y+48.

Explanation:

To simplify to create an equivalent expression for 6(7-3y)+6(y+1), we first distribute within the parentheses.

This gives us: 42-18y+6y+6.

Next, we combine like terms (-18y and 6y; 42 and 6) to get -12y+48.

So, the simplified equivalent expression is -12y+48.


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The diagram shows a plan for a piece of mobile. A chain will hang from the centroid of the triangle. At what coordinates should the artist attach the chain?

Answers

you need to actually add the diagram you know, save it as an image (or take a photo) and put it on here

Which of the following points is a solution of the inequality y < -|x|?

(1, -2)
(1, -1)
(1, 0)

Answers

Answer:

[tex]\large\boxed{(1,\ -2)}[/tex]

Step-by-step explanation:

[tex]|a|=a\ \text{for}\ a\geq0\\\\|a|=-a\ \text{for}\ a<0\\\\\text{Examples}\\\\|3|=3,\ |1.6|=1.6\\|-3|=-(-3)=3,\ |-1.6|=1.6\\===================[/tex]

[tex]y<-|x|\\\\\text{Put the values of x and y from the coordinates of the points and check inequality}\\\\(1,\ -2)\to x=1,\ y=-2\\-2<-|1|=-1\qquad\text{CORRECT :)}\\\\(1,\ -1)\to x=1,\ y=-1\\-1<-|1|=-1\qquad\text{FALSE :(}\\\\(1,\ 0)\to x=1,\ y=0\\0<-|1|=-1\qquad\text{FALSE :(}[/tex]

PLEASE HELP I'll GIVE BRAINLIEST:

Jen slices a cone with a height of 10 centimeters and a radius of 4 centimeters using a plane that is perpendicular to the base and that passes through the vertex of the cone. What is the area of the cross-section in square centimeters?

Answers

Answer: [tex]40cm^2[/tex]

Step-by-step explanation:

A cross-section is the shape that results of the intersection of a plane with an abject.

When the cone is sliced by a plane perpendicular to the base and passes through the vertex, the cross-section obtained is a triangle.

The area of the triangle can be calculated with the formula:

[tex]A=\frac{b*h}{2}[/tex]

Where the base of the triangle is b and its height is h.

The base of the triangle is the diameter of the cone. Knowing the radius, the diameter is:

[tex]diameter=2*radius\\diameter=2*4cm\\diameter=8cm[/tex]

Then:

[tex]b=8cm[/tex]

The height ot this triangle is the height of the cone:

[tex]h=10cm[/tex]

So, by substituting into the formula you get the area of the cross-section in square centimeters:

[tex]A=\frac{(8cm)(10cm)}{2})=40cm^2[/tex]

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