what is equivalent to 3 to the negative 2nd power

Answers

Answer 1

3 to the negative second power is written like this: [tex] 3^{-2} [/tex].

When simplifying an expression with a negative exponent, you take a positive version of the exponent, in this case that would be 2, and apply that to the base.
After doing that, we have 9.
The next step is to put one over that number.
In this case, now after doing that the answer is [tex] \frac{1}{9} [/tex].

Hope this helps!

Related Questions

What is the value of −6a−3b2 for a = −2 and b = 4?

A. 768
B. 12
C. −12
D. −768

Answers

Good thing you said something about that.
- 6 * (-2)^-3 * 4^2
- 6/-8 * 16
3/4 * 16
12
B <<<<<======= Answer

B I believe your answer is B I’m sorry if I’m wrong

identify the type for each quadrilateral

Answers

1. Quadrilateral 5: Square (4 equal sides, 4 right angles)

2. Quadrilateral 8: Parallelogram (2 sets of parallel sides, opposite sides not equal)

3. Quadrilateral 11: Trapezoid (1 set of parallel sides, opposite sides not equal, no right angles)

The image shows three quadrilaterals, each labelled with a number:

1. Quadrilateral 5: This shape has four equal sides and four right angles. Therefore, it is a square.

2. Quadrilateral 8: This shape has two sets of parallel sides, but its opposite sides are not equal in length. It also does not have four right angles. Therefore, it is a parallelogram.

3. Quadrilateral 11: This shape has only one pair of parallel sides. Its opposite sides are not equal in length, and it does not have four right angles. Therefore, it is a trapezoid.

A Ferris wheel has a circumference of 440 feet. What is the approximate diameter of the Ferris wheel? Use 3.14 for pi

Answers

440 = 3.14 * d
440 / 3.14 = d
140 1/7 = d

This figure is made up of a quadrilateral and a semicircle.

What is the area of this figure?

Use 3.14 for pi. Round your answer to the nearest tenth.

A.) 22.8 units²

B.) 40.4 units²

C.) 45.5 units²

D.) 74.5 units²

Answers

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The length of AB is

[tex]AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}[/tex]

The length of AD is

[tex]AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}[/tex]

Since AB=AD, therefore ABCD is a square. The area of the of square is

[tex]A_1=a\times a=\sqrt{29}\times \sqrt{29} =29[/tex]

The area of square is 29 units².

The area of a semicircle is

[tex]A_2=\frac{\pi}{2}r^2[/tex]

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

[tex]r=\frac{d}{2}=\frac{\sqrt{29}}{2}[/tex]

The area of the semicircle is

[tex]A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825[/tex]

The area of the figure is

[tex]A=A_1+A_2=29+11.2825=40.3825\approx 40.4[/tex]

Therefore the area of the figure is 40.4 units². Option B is correct.

Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frig population after years?

Answers

f(x)=1,200(0.97)x this is an equation

Bill had a salary of $48,000 last year. This year his salary is $49,920. What is the percent increase of Bill's salary?

Answers

4%......................

4% because first you subtract 48000 from 49920 which is 1920. Then you divide 1920/48000

A toy car designer measures the length of the actual car shown. A toy car is 0.05 times as long as the actual car. How long is the toy car?

If you answer you get 50 POINTS!

Answers

The toy car is 8.03 Inches long

Final answer:

To find the length of the toy car, multiply the length of the actual car by 0.05.

Explanation:

The question is presenting a mathematical problem concerning proportions. In this scenario, a toy car is designed to be 0.05 times the size of the actual car. To find the length of the toy car, you should multiply the length of the actual car by 0.05. For instance, if the actual car is 5 meters long, the toy car would be 0.05 * 5 = 0.25 meters long.

Learn more about Proportions here:

https://brainly.com/question/34018947

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a rectangular prism has a length of 15 1/4 centimeters, a width of 8 centimeters, and a height of 2 1/4 centimeters. Enter the volume of the prism as a mixed number in simplest form in the box.

Answers

274 1/2 cm

Hope this helps!

Answer:

l = 15.25 cm
w = 8 cm
h = 2.25 cm
d = 17.3674 cm
S = 348.625 cm²
V = 274.5 cm³ = 274 1/2 cm³

What’s the answer for this question?

Answers

48 is your answer if you are findint the area of the green.

The picture frames shown are both squares. The area of the smaller frame is 1/4 the area of the larger frame. Find the side length of the larger frame.

Answers

area of smaller frame =1/4×36=9sq.in
side of smaller frame =
[tex] \sqrt{9 } = 3in[/tex]
side of larger frame
[tex] = \sqrt{36} = 6in[/tex]

The side length of the larger frame will be 12 inches.

What is an area?

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

Given that the area of the smaller frame is 36 square inches and the area of the smaller frame is 1/4 times the area of the larger frame.

The area of the larger frame will be calculated as:-

1/ 4 x Area of larger frame = Area of the smaller frame

Area of the larger frame = 36 x 4

Area of the larger frame = 144 square inches

a² = 144

a = √144

a = 12 inches

Therefore, the length of the larger frame is 12 inches.

To know more about an area follow

https://brainly.com/question/25092270

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Eddie has m muffins. He splits them evenly among 9 boxes. Write an expression that shows how many muffins are in each box.

Answers

The expression is m/9 because it is the amount of muffins split into 9 boxes

Final answer:

To find out how many muffins are in each box, divide the total number of muffins by the number of boxes. There would be 5 muffins in each box if Eddie has a total of 45 muffins.

Explanation:

To write an expression that shows how many muffins are in each box, we can divide the total number of muffins by the number of boxes. Let's call the total number of muffins 'm' and the number of boxes '9'. The expression would be:

m ÷ 9

For example, if Eddie has 45 muffins, substituting 'm' with 45 in the expression would give us:

45 ÷ 9 = 5

Therefore, there would be 5 muffins in each box if Eddie has a total of 45 muffins.

If an atom loses a neutron, what happens to the overall electric charge

Answers

the atomic mass lowers

Alright, this is really simple:

For atoms, all you need to know this. You have a nucleus, which is compromised of protons and neutrons. Electrons orbit the nucleus.

Protons have a positive charge of +1
Neutrons have a neutral charge
Electrons have a negative charge of -1

Now, neutrons are part of the nucleus, meaning they add overall mass/weight to the atom. If you were to take one of these away, it would STILL be the same element. Elements are defined truly by their protons, not neutrons.

So, take away a single neutron, the mass will lower, but it would still be the same element.

~Hope this helps!

True or false? The decimal number 25.33 is an example of a terminating decimal

Answers

Answer:

True

Step-by-step explanation:

we know that

A terminating decimal is a decimal that ends. It's a decimal with a finite number of digits

In this problem

The number [tex]25.33[/tex] is a decimal with a finite number of digits

therefore

The answer is True

Answer:

the answer is true :D

Step-by-step explanation:

Simplify. (4x4 + 7x2 + 6x) - (x3 - 7x + 10)
A) 4x4 + 6x -10
B) 3x3 + 6x + 10
C) 3x7 +14x3 - 4x
D) 4x4 - x3 + 7x2 + 13x - 10

Answers

its D hope that helped :)

Jay made a name tag that was 15.24 centimeters long. What is the length of the tag in millimeters?

Answers

1cm = 10mm

15.24cm x 10 = 152.4mm

Hope this helps!!!

15.24 cm = 152.4
152.4 millimeters

The equation y = x + 1 defines the relationship between x and y, where x is the input and y is the output. Which statements about the graph of this relationship are true? Select two that apply.

A.The graph is a curved line.
B.The graph is a straight line.
C.the graph is a vertical line.
D.The graph represents a function.
E.The graph has no negative outputs.
F.The graph passes through the origin.

Answers

The graph is a straight line because y = x + 1 has a slope of 1 (and it's not changing so it can't be curved, neither is it ∞ so it can't be vertical). This graph does not pass through the origin because it has a + 1 at the end. It is a function because no input matches to 2 different outputs. It also has negative outputs because what if x was -50.

All in all, your answers are B and D.

Hey there!

Let's go through all of our options.

A) It's defintely not curved; it's written in slope intercept form and is indeed a straight line.

B) Yes, the graph is a straight line. Although it's at an angle, it has no curves or flaws, and is completely straight.

C) The graph is not vertical. It has a y intercept and slope and therefore isn't. That's because it has a rate of change, and it crosses the y axis at some point depending on the slope, or rise over run. Vertical lines really don't have that.

D) Yes, the graph is a function. This is because it does not have two x values for one y, and does not fail the straight line test, which states that you can place a straight line anywhere on the graph and it can only go through one point.

E) This is false. If we put in -5 as our input, we add 1 and get -4, which is a negative output. Your output here depends on the input you put in, and the sign usually remains considering it's +1.

F) This graph does not pass through the origin. This is because the origin has a point at 0,0 and since it's x+1, it would be 0,1 instead because your output is adding one to that 0.

Hope this helps!

what is the slope of a line that is perpendicular to the line that passes through (1,0) and is parallel to y=3x+5

Answers

Slope is perpendicular to the line that passes (1, 0) & is parallel to y = 3x + 5

We need to first find the slope. Since we're already given an equation, we can simply find it within there :)

We're given an equation in slope intercept form (y = mx + b) so we can simply look in the "m" spot. Therefore, we know that the slope is 3.

Since our slope is perpendicular to the given line, we must find the negative reciprocal of the slope.

A negative reciprocal is simply a number flipped over and then given a negative (or a negative is removed).

An example is here : slope = 8 → negative reciprocal of slope = -1/8

So, our negative reciprocal of "3" is -1/3.

Therefore, our new slope is -1/3.

Now, since it passes through (1, 0) then this is how we are going to find out y-intercept to input it into our new equation.

y = mx + b

Simply plug in everything (including slope and y)

0 = (-1/3)(1) + b

Simplify.

0 = -1/3 + b

Add 1/3 to both sides.

1/3 = b

Therefore, our y-intercept is b.

Now that we have all of the needed variables for our new equation, simply plug everything into an all new equation :)

y = mx + b

y = -1/3x + 1/3

~Hope I helped!~

There are 16 students in the school play. One fourth of the students are wearing yellow costumes. Six students are wearing purple costumes. The remaining students are wearing orange costumes. How many students wearing orange costumes?

Answers

There are 16 students total.
1/4 (4 students)--> Yellow Costumes
6 students--> Purple Costumes
(?) students--> Orange Costumes.

We know that one fourth of the students is 4 students by doing simple division.
6 students are wearing purple costumes.
Add these together.
4+6 = 10

The remaining students are wearing orange costumes.
There are 6 students remaining.
Therefore, 6 students are wearing orange costumes.

Answer: 6 Students

4 wearing Yellow

6 wearing purple

6 wearing orange

6 plus 4= 10 plus 6= 16

hope this helps :)

Reiki has 3/4 of a gallon of milk. She drinks one-third of the milk. How much milk does she drink?

Answers

It should be 1/4 because one third of three fourths is one fourth. I hope this helps!

Of means to multiply.

Do 3/4 x 1/3 to get 3/12, which can be simplified into 1/4

What is the measure of ∠DEG? A) 133° B) 103° C) 77° D) 67°

Answers

77° is the answer to your question

Three different rectangles have an area of 20. What are the possible whole-number dimensions of the rectangles?

Answers

L = 20 W = 1
L = 10 W = 2
L = 5 W = 4

Study this carefully. It's a good problem to know how to do. The ancients solved problems by using this method. They started with biggest number they could on the left and multiply each number on the right as they went down (in this case by 2).

Which of the following should be used to show relationships, organize information, and solve problems?

box-and-whisker plots
bar graphs
pictographs
Venn diagrams

Answers

I belive that it is a Venn Diagram, don't quote me on that though.

Answer:

Venn Diagrams

Step-by-step explanation:

Venn diagram: a diagram that uses circles and a rectangle to show the relationships that exist between different sets

Venn diagrams are used to organize information and solve problems.

A circle has a sector with are of (17/2)pi and a central angle of (17/90)pi radians. What is the area of the circle? Either enter an exact answer in terms of pi or use 3.14 pi and enter your answer as a decimal.

Answers

This circle has a sector area of 17pi/2 and a central angle of 17pi/90.

So, the whole angle of the circle would be 2pi. To find the area of a sector, you can use the formula A=R*Angle

17pi/2= R* 17pi/90
R=45

A=45^2 * pi
A=90 pi or 282.6

Answer:

17pi/2= R* 17pi/90

R=45

A=45^2 * pi

A=90 pi or 282.6

Step-by-step explanation:

A finance company offers a 36-month installment loan with an APR of 10.5%. Jerry wishes to use the loan to finance an engagement ring for $21,500. After first using Table 13-1 to find the finance charge, calculate the monthly payment.

Answers

well i’m not sure on this but i got 18 for my answer instead of 10 so if u need any mode help im here

Given a triangle with vertices U(6, −1), W(0, −5), and X(4, −9), and Y is the midpoint of segment UW and Z is the midpoint of segment WX comma what is the length of YZ?

Answers

Be more specific. Like what is it asking you to do ? I'm trying to help. :)

Here we have to use the distance formula

Please see the image attached with the solution , for the figure

Firstly we have to find the length of line segment XU

and the triangle has a property that the length of line segment that connects the midpoint of the two sides is half the length of the third side.

It means here

Length of YZ = half the length of XU

So lets find the length of XU

[tex] \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}= \sqrt{(6-4)^2 +(-1+9)^2} =\sqrt{4+64} [/tex]

[tex] =\sqrt{68} [/tex]

[tex] =2\sqrt{17} [/tex]

Now the length of YZ = half of [tex] =2\sqrt{17} [/tex]

So length of YZ = [tex] =\sqrt{17} [/tex]

Over a 12 hour period the students estimate that 2,400 bees will leave the hive. How many bees should they expect to travel west?

Answers

240 divide it

2400/10

hope this helps

The answer is 240, hope that helps some all you have to do is divide.

HELP ASAP PLEASE WILL GIVE BRAINIEST

Answers

The answer is A because if 1 pound us 16 ounces then 5 pounds is x amount of ounces

if 1 pound..........................................16 ounces
5 pounds...........................................X ounces
x*1=5*16
is choice A
1/16=5/x

Yvonne purchased a jacket at Right Price, and the lowest price on the tag was $4. This was the sale price, which was calculated by taking 75% off of the original price. What was the original price of Yvonne's jacket?

Answers

15 or 16 is the price

If there are 500 marbles in the bag, how many are most likely green?

Answers

160 of the marbles will be green.

It should be B hope it helps :)

The side lengths of two different cubes are 35 cm and 42 cm. What is the ratio of the volume of the smaller to the volumes of the larger?

Answers

First we look for the result of the volume for both:
the smaller:
V1 = (35) ^ 3
V1 = 42875 cm ^ 3
the larger
V1 = (42) ^ 3
V1 = 74088 cm ^ 3
Then, we have to:
V1 / V2 = (42875) / (74088)
V1 / V2 = 0.578703704
Answer:
The ratio of the volume of the smaller to the volumes of the larger is:
V1 / V2 = 0.578703704

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