Simplify. (-2)^-3
A.-8
B.-1/8
C.1/8
D.8

Answers

Answer 1

ANSWER

[tex]{( - 2)}^{ - 3} =- \frac{1}{ 8} [/tex]

EXPLANATION

We want to simplify;

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

Recall that,

[tex] {a}^{ - m} = \frac{1}{ {a}^{m} } [/tex]

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

We multiply out to get,

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

[tex]{( - 2)}^{ - 3} = \frac{1}{ - 8} [/tex]

The correct choice is B.


Related Questions

the difference between a number and 2

Answers

Answer:

n-2

Step-by-step explanation:

Difference means subtraction

n-2

What are the numbers???

Answers

Answer:

In: 5, 4, 2, 3, 1, and 10.

Out: 40, 32, 16, 24, 8, and 80

Step-by-step explanation:

The first step you should do is to take notice of the pairs that have their "in" and "out" both answered.

The second step is to find out what you must multiply the "in" by to get the "out". In this answer, you must multiply the "in" by 8 to get the "out".

The third step is to do the same thing for all of the values until the chart is completely filled with values.

The fourth step is to check your work!

If you have any questions, please let me know!

The rule is 8

Bc 5 times 8 is 40

32/8 is 4

Either divide or multiply when needed

Evaluate the expression and enter your answer in the box below |0|

Answers

Answer:

0

Step-by-step explanation:

When put in between these lines || a negative number becomes positive and a positive number stays the same.

Assessment 1
4. Use the recipe shown in the table to answer the questions below.
Use pictures, tables or number
sentences to solve the task.
Grandma's Recipe for Su
ecipe for Sugar Cookies
1% cups butter
2 cups sugar.
4 eggs
4 teaspoon baking powder
1 YA cups flour
14 teaspoon salt
a) How many cups of sugar are needed for each egg? How do you know?

Answers

a)Each egg requires 0.5 cups of sugar in Grandma's recipe.

b)The ratio of baking powder to salt is 3:1.

a) The recipe uses 2 cups of sugar and 4 eggs. To find out how many cups of sugar are needed per egg, we divide the total cups of sugar by the number of eggs:

2 cups of sugar / 4 eggs = 0.5 cups of sugar per egg

So, 0.5 cups of sugar are needed for each egg.

b) Ratio of baking powder to salt

The recipe calls for 3/4 teaspoon of baking powder and 1/4 teaspoon of salt. To find the ratio of baking powder to salt, we divide the amount of baking powder by the amount of salt:

(3/4) teaspoon of baking powder / (1/4) teaspoon of salt = 3

Thus, the ratio of baking powder to salt is 3:1. This means there is three times as much baking powder as salt in the recipe, which aligns with your sister's observation.

The complete question is:

Use the recipe shown in the table to answer the questions below. Use pictures, tables or number sentences to solve the task. Grandma's Recipe for Sugar Cookies 1/2 cups butter 2 cups sugar 4 eggs 34 teaspoon baking powder 1 % cups flour 14 teaspoon salt a) How many cups of sugar are needed for each egg? How do you know? Your sister notices that she needs three times as much baking powder as salt in this recipe. b)What is the ratio of baking powder to salt? Explain your reasoning in words.

The area of the trapezoid

Answers

The area of that trapeziod is 28 inches.

Answer:

Step-by-step explanation:

The area is a+b/2

so the answer is 28

Which number can each term of the equation be multiplied by to eliminate the decimals before solving? –m + 0.02 + 2.1m = –1.45 – 4.81m

Answers

Answer:

100

Step-by-step explanation:

The given equation is;

–m + 0.02 + 2.1m = –1.45 – 4.81m

The highest decimal places is 2.

This implies that, we must multiply each term of the equation by [tex]10^2=100[/tex] before solving in order to eliminate the decimal.

In that case the equation becomes;

–100m + 2 + 210m = –145 – 481m

Hence the number is 100

Answer:

easy answer 100

Step-by-step explanation:

Factor this expression 2

Answers

Answer:

Step-by-step explanation:

16x^4+56x^2+49

(4x^2+7)^2

Can anyone help me with this

Answers

Answer:

ice cream = 3.80$

cup cake = 4.25$

donuts = 2.5$

Step-by-step explanation:

a=ice cream

b = cup cake

c = donuts

we can write the following equations given from the picture:

a+b+b=12.30$   equation 1

b+c+a=10.55$   equation 2

b+c+c =9.25$   equation 3

using equation 1 we have:

2b+a=12.30

a=12.30-2b

using equation 3 we have:

2c+b=9.25

c=(9.25-b)/2

using equation 2 we have:

b+((9.25-b)/2)+12.30-2b=10.55

((2b+9.25-b)/2) - 2b = 10.55-12.30

((2b+9.25-b-4b)/2) =-1.75

-3b+9.25=2*(-1.75)

-3b= -3.5-9.25

-3b=-12.75

b=12.75/3

so we have b= 4.25$ = cup cake

we have:

c=(9.25-b)/2= (9.25-4.25)/2

c=2.5$= donuts

a= 12.30-2b= 12.30-2*(4.25)

a= 12.30-8.5 = 3.8$ = ice cream

What is the answer to the question??

Answers

Answer:

[tex]c=15[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem.

[tex]a^2+b^2=c^2 \\ \\ 9^2+12^2=c^2 \\ \\ 81+144=c^2 \\ \\ c^2=225 \\ \\ c=\sqrt{225} \\ \\ c=15[/tex]

What is the surface area of a sphere with a diameter of 12 centimeters ?

Answers

Answer:

[tex]A=452.39\ cm^2[/tex]

Step-by-step explanation:

The formula to calculate the surface area of a sphere is the following:

[tex]A=4\pi r^2[/tex]

Where A is the area of the sphere and r is the radius of the sphere.

In this case we know that the diameter d of the sphere is:

[tex]d = 12\ cm[/tex]

The diameter is:

[tex]d = 2r[/tex].

Thus

[tex]r = \frac{d}{2}\\\\r = \frac{12}{2}\\\\r=6\ cm[/tex]

Then the surface area of the sphere is:

[tex]A=4\pi (6)^2\\\\A = 144\pi\ cm^2\\\\A=452.39\ cm^2[/tex]

Answer is provided in the image attached.

in a triangle there is three angles..one is 32° other is 116° what is the third one?

Answers

Answer:32 degrees

Step-by-step explanation:a triangle total is 180 degrees. So subtract 116 and 32 by 180 to get 32

Answer: 32°

Step-by-step explanation: Hello There! The Answer is 32°. This is because when we add up 116° and 32° we get 148° to get the Answer we subtract 148° from 180° and we get a difference of 32°.

Answer please? Solve math

Answers

Answer:

(a)

Step-by-step explanation:

To rationalise the fraction multiply the numerator/denominator by the conjugate of the denominator.

The conjugate of [tex]\sqrt{3}[/tex] + [tex]\sqrt{x}[/tex] is [tex]\sqrt{3}[/tex] - [tex]\sqrt{x}[/tex]

Hence

[tex]\frac{\sqrt{9}(\sqrt{3}-\sqrt{x} )  }{(\sqrt{3}+\sqrt{x} )(\sqrt{3}-\sqrt{x} )  }[/tex]

= [tex]\frac{3(\sqrt{3}-\sqrt{x}  }{3-x}[/tex]

= [tex]\frac{3\sqrt{3}-3\sqrt{x}  }{3-x}[/tex] → (a)

F(x) = x^2. What is g(x)?

Answers

Answer:

The correct answer is C. g(x) = 1/4x^2

Step-by-step explanation:

In order to determine if the graph fits, take the point that is given on the parabola and see if it fits the equation. To do that we plug it in and see if it gives a true statement.

(2, 1)

g(x) = 1/4x^2

1 = 1/4(2)^2

1 = 1/4(4)

1 = 1 (TRUE)

Find the exact value of sec 120°.

Answers

For this case we have that by definition:

[tex]Sec (a) = \frac {1} {cos (a)}[/tex]

Then, we can rewrite the expression as:

[tex]Sec (120) = \frac {1} {cos (120)}[/tex]

[tex]cos (120) = cos (180-60) = - cos (60) = - \frac {1} {2}[/tex]

So:

[tex]Sec (120) = \frac {1} {- \frac {1} {2}}\\Sec (120) = - 2[/tex]

Answer:

-2

The exact value of sec 120° is -2 as secant function is the reciprocal of the cosine function,

The secant function is the reciprocal of the cosine function, so we can find sec 120° by finding the reciprocal of cos 120°.

First, let's determine the value of cos 120°.

We know that cos 120° is negative in the unit circle, so we need to find the cosine of the reference angle, which is 60°.

In the unit circle, at 60°, the cosine value is 1/2.

Since cos 120° is negative, the value is -1/2.

Now, we can find the exact value of sec 120° by taking the reciprocal of -1/2:

sec 120° = 1 / (cos 120°) = 1 / (-1/2) = -2.

Therefore, the exact value of sec 120° is -2.

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Does anyone know this

Answers

Answer:

a2+1)-(4+2a2)

Step-by-step explanation:

to solve this, we need to get rid of the brackets as follow:

3a2+1-4-2a2  

ading the common terms we have:

a2 - 3

that is all.

Plz mark  me brainlist!!!

Find the Value of X. ​

Answers

Answer: 5

Step-by-step explanation: The dot in the middle of the circle is the center point of the circle. This means that it bisects every point from one edge to the other cutting through the middle. The two vertical red lines in the middle of the circle indicate they are the same measure. knowing this and that the angle interiors are 90 degrees, we can conclude that x is the same length as the 5 diagonal from it.  

Answe is 5..

The (.) is the center of the circle..

The (|) mesns these lines are equal..

The angles also are right angles and equal..

Means the length ofvthis line also equals the other line = 5

Which expresión is equivalent to -3x - (x-1) + 3/2 (3x + 3)?

A. 1/2x + 11/2
B. 1/2x + 7/2
C. 5/2x + 11/2
D. 5/2x + 7/2

Answers

Answer:

[tex]\large\boxed{A.\ \dfrac{1}{2}x+\dfrac{11}{2}}[/tex]

Step-by-step explanation:

[tex]-3x-(x-1)+\dfrac{3}{2}(3x+3)\qquad\text{use the distributive property}\\\\=-3x-x-(-1)+\left(\dfrac{3}{2}\right)(3x)+\left(\dfrac{3}{2}\right)(3)\\\\=-3x-x+1+\dfrac{9}{2}x+\dfrac{9}{2}\qquad\text{combine like terms}\\\\=\bigg(-3x-x+\dfrac{9}{2}x\bigg)+\bigg(1+\dfrac{9}{2}\bigg)\\\\=\bigg(\dfrac{-6}{2}x-\dfrac{2}{2}x+\dfrac{9}{2}x\bigg)+\bigg(\dfrac{2}{2}+\dfrac{9}{2}\bigg)\\\\=\dfrac{-6-2+9}{2}x+\dfrac{2+9}{2}=\dfrac{1}{2}x+\dfrac{11}{2}[/tex]

Brooke is using shiny rocks to make necklaces. Each necklace has 5 shiny rocks. Make a table that shows the number of shiny rocks used for 10, 15, 20, and 25 necklaces

Answers

Answer:

10 necklaces =  50 rocks

15 necklaces = 75 rocks

20 necklaces = 100 rocks

25 necklaces = 125 rocks

Step-by-step explanation:

A table that shows the number of shiny rocks used for 10, 15, 20, and 25 necklaces:

| Number of necklaces | Number of shiny rocks used |

| 10 | 50 |

| 15 | 75 |

| 20 | 100 |

| 25 | 125 |

To calculate the number of shiny rocks used, we simply multiply the number of necklaces by the number of shiny rocks per necklace. For example, to calculate the number of shiny rocks used for 10 necklaces, we multiply 10 by 5:

10 necklaces * 5 shiny rocks/necklace = 50 shiny rocks

We can do the same calculation for 15, 20, and 25 necklaces to get the following results:

15 necklaces * 5 shiny rocks/necklace = 75 shiny rocks

20 necklaces * 5 shiny rocks/necklace = 100 shiny rocks

25 necklaces * 5 shiny rocks/necklace = 125 shiny rocks

Therefore, the table above shows the number of shiny rocks used for 10, 15, 20, and 25 necklaces.

For such more question on number

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Gisela cuts an apple into 8 pieces of the same size. What is the angle measure of each piece?

Answers

Answer:

45°

Step-by-step explanation:

Imagine a waistband stretched around the middle of an apple, horizontally.

The waistband could be represented by the circumference of the apple, with a central angle of 360°.

Divide this central angle by 8, obtaining 45°.  Each piece of apple is measured by a central angle of 45°.

To find the angle measure of each of the 8 pieces of the apple, divide the total degrees in a circle by 8, resulting in each piece having an angle measure of 45 degrees.

To find the angle measure of each piece, we divide the circle into 8 equal slices.

Each slice corresponds to an angle of 360 degrees (the total degrees in a circle) divided by 8, which equals 45 degrees for each piece.

Therefore, the angle measure of each piece of the apple is 45 degrees.

simplify the expression

(2b/3)^4

Answers

Answer:

2b/3 * 2b/3 * 2b/3 * 2b/3

Good luck!!

Answer:

16b^4/81

Step-by-step explanation:

Which of the following are right triangles? A) Triangle ABC: AB=76 BC=357 AC=365

B) Triangle ABC: AB=123 BC=836 AC=845

Answers

ANSWER

AB=76 BC=357 AC=365 This triangle is a right triangle.

EXPLANATION

We use the Pythagoras Theorem to determine whether the triangles are right triangles.

According to this theorem, the square of the hypotebuse is equal to the sum of the squares of the two shorter legs.

We have:

AB=76 BC=357 AC=365

[tex] {365}^{2} = {76}^{2} + {357}^{2} [/tex]

133225=5776+127449

133225=133225

For the second triangle, we have;

B) Triangle ABC: AB=123 BC=836 AC=845

845²=123²+826²

714025=15129+682276

714025≠697405

The first triangle is a right triangle

Answer:

the firsst one

Step-by-step explanation:

A rectangular pyramid is sliced so the cross section is perpendicular to its base and passes through its vertex. What is the shape of the cross section? trapezoid rectangle triangle square

Answers

Answer:

rectangle. trapezoid. triangle. A sphere is sliced so that the cross section does not intersect the center of the sphere

Answer:

sorry im late to this but it is a triangle

Step-by-step explanation:

because when you cut it horizontally and look at the top it is a rectangle so that is wrong trapezoid is when you look at it from the side when cut horizontally so that is wrong there is no square so that instantly becomes wrong because it is a rectangular pyramid  when  perpendicular it will provide you with a triangle  

Evaluate the sum
A. 306
B. 240
C. 360
D. 272

Answers

Answer:

Option D. [tex]272[/tex]

Step-by-step explanation:

we know that

To evaluate the sum , use the formula

[tex]S=\frac{1}{2}(a1+an)n[/tex]

where

a1 is the first term

an is the last term

n is the number of terms

In this problem

For n=1 ------> a1=2(1)=2

For n=16 ------> an=2(16)=32

n=16 terms

substitute in the formula

[tex]S=\frac{1}{2}(2+32)16[/tex]

[tex]S=272[/tex]

What would be the dimensions for the poster at 1/4 times it’s current size

Answers

Answer:

D. Length = 9 cm; width = 6 cm

Step-by-step explanation:

Find 1/4 of the length and 1/4 of the width.

1/4 * 36 cm = 9 cm

1/4 * 24 cm = 6 cm

Answer: D. Length = 9 cm; width = 6 cm

The population of mice in a vacant building is 200. The population of mice grows according to the model: M(t)=200(1.2)^t where t is the time in days. Assuming none of the mice die, how many mice will be in the building at the end of 30 days

Answers

7200. Because 1.2 *30 *200=7200

To estimate the mouse population after 30 days using the given model, M(t)=200(1.2)^t, evaluate the expression with t=30, which results in approximately 47,475 mice.

The student is asking how many mice will be in the building after 30 days according to the exponential growth model M(t) = 200(1.2)^t, where t is the time in days and M(t) is the population of mice at time t. To find the answer, we simply plug the value of 30 days into the model to get M(30) = 200(1.2)^30.

Calculating the expression:

First, calculate 1.2 raised to the power of 30, which gives us approximately 237.3769.

Then, multiply that by the initial population of 200 mice, yielding a result of approximately 47,475.38.

Therefore, after 30 days, assuming no mice die, there will be approximately 47,475 mice in the building.

The cylinders are similar. The volume of the larger cylinder is 40,635 cubic centimeters. What is the volume of the smaller cylinder?

Answers

Answer:

1505 cubic centimeters

Step-by-step explanation:

Lengths are related by scale factor "k"

Volumes are related by scale factor "k^3"

From large to small:

What multiplied by 18, gives us 6? We can write:

18(k)=6

k = 6/18 = 1/3

So scale factor is 1/3

Now in terms of volume, the larger is given as 40, 635, so we can set up:

40,635 * k^3 = smaller volume

we know k = 1/3, so

40,635 * (1/3)^3 = smaller volume

Thus, smaller volume = 40,635 * (1/3)^3 = 1505

What is the range of the function y=cot(x)?

A) all real numbers
B) all real numbers except pi/2+n pi, where n is any integer
C) all real numbers except n pi/2, where n is any integer
D) all real numbers except n pi, where n is any integer

Answers

Answer:

A. all real numbers

Step-by-step explanation:

The range of the function y=cot(x) is (A) all real numbers.

here are the ingredients for making a trifle for four people. 120g strawberry jelly,8 sponge fingers, 420ml custard and 180g tinned fruit. Kevin is going to make a trifle for 3 people. work how much of each ingredients he needs

Answers

Answer:

For 3 people Kevin would need 90g of strawberry jelly, 6 sponge fingers, 315ml of custard and 135g of tinned fruit.

Step-by-step explanation:

To work this out you would need to work out how many ingredients would be needed for 1 person, so you would need to divide each ingredient amounts by 4. (For example for the strawberry jelly you would do 120÷4 which is 30).

Then, to work out how many ingredients would be needed for 3 people you would need to multiply the ingredient amounts by 3. (Like 30×3 is 90).

Given that -5 < -3, which statement is not true?

-5 is to the left of -3 on the number line.
-3 is less than -5,
-3 > -5
-3 is to the right of -5 on the number line.

Answers

Answer:

- 3 is less than - 5 is not true

Step-by-step explanation:

Numbers to the right of numbers on the number line are greater.

Numbers to the left of numbers on the number line are less

- 3 is to the right of -5 on the number line and is greater than - 5

The ratio to boys to girls in Ms.chunningham's class is 2 to 3. There are 18 girls in the class.What is the total number of students in ms.chunningham's class?

A. 12

B. 30

C.45

D.27​

Answers

Answer:

B.30

Step-by-step explanation:

This was picked because if u divide 18 by 3. You get 6 and if u multiply it by 2. You get 12 plus the 18 equals 30.

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