Helppppp..... evaluate 3^-3=

Helppppp..... Evaluate 3^-3=

Answers

Answer 1

ANSWER

The answer is

B

[tex] \frac{1}{27} [/tex]

EXPLANATION

The given expression is

[tex] {3}^{ - 3} [/tex]

Use the negative index property;

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

We apply this property to get:

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

This gives us:

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

[tex]{3}^{ - 3} = \frac{1}{27} [/tex]

The correct option is B.

Answer 2

For this case we must evaluate the following expression:

[tex]3 ^ {3}[/tex]

We have by definition of properties of powers that:

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

Then, rewriting the expression:

[tex]3 ^ {- 3} = \frac {1} {3 ^ 3} = \frac {1} {27}[/tex]

ANswer:

[tex]3 ^ {- 3} = \frac {1} {27}[/tex]

OptionB


Related Questions

Identify which of the following represents a function. Select all that apply

Answers

Answer:

A and E

Step-by-step explanation:

Darren is painting a wooden block as part of his art project. The block is a rectangular prism that is 12 cm long by 9 cm wide by 5 cm high. Describe the rectangles that make up the net for a prism

Answers

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

The rectangles that make up the net for a prism are six rectangles

two rectangles are L by W ----> 12 cm by 9 cm

two rectangles are L by H ----> 12 cm by 5 cm

two rectangles are W by H ---> 9 cm by 5 cm

Final answer:

The rectangular prism net Darren is painting consists of two 12x5 cm rectangles for the top and bottom, two 9x5 cm rectangles for the front and back, and two 12x9 cm rectangles for the sides.

Explanation:

Darren is working on an art project involving painting a wooden block that is in the shape of a rectangular prism. To understand the net for this prism, we need to describe the rectangles that would make it up when the prism is unfolded into a flat shape.

The net of a rectangular prism is made up of six rectangles, each corresponding to a face of the prism. For Darren's block, which has dimensions of 12 cm in length, 9 cm in width, and 5 cm in height, we can determine the rectangles as follows:

When painting, Darren would treat each of these rectangles as separate sections to ensure complete coverage.

Rectangular is 3/4 yard long and 1/2 yard wide, what is the area?

Answers

first, you would do base times height.
so, 3•1.
that would equal 3. so, your answer is 3/4yards squared.
multiply length times width , 3/4 times 1/2 equals 3/8

When constructing an inscribed polygon with a compass and straightedge ,how should you start the construction?

Answers

Place a point on your paper and then use a compass to construct a circle.

Answer with explanation:

To construct an inscribed polygon with a compass and straightedge:

The first step is:

   1.⇒Draw the polygon either it is Regular or Irregular

→A polygon is said to be regular, if it's all sides and all Interior Angles are equal.

→Draw the perpendicular bisector of all the sides of Polygon.

→The point where these two perpendicular bisector meet is center of the circle.

→Draw the circle which will pass through all the vertices of the Polygon you have drawn.

What is the smallest solution to this equation?​

Answers

Answer:

x = - 6

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] x² = 24 ( multiply both sides by 3 )

2x² = 72 ( divide both sides by 2 )

x² = 36 ( take the square root of both sides )

x = ± [tex]\sqrt{36}[/tex] ← note plus or minus

x = ± 6

solutions are x = - 6, x = + 6

The smallest solution is x = - 6

Find the area of the polygon XYZ that has its vertices at X(–3, 6), Y(–3, 1), and Z(5, 1).

Answers

Hope you can understand

help me asap.........

Answers

Answer:

  F.  4h ≥ 18

Step-by-step explanation:

Liang wants ...

   distance ≥ goal

We know that ...

   distance = speed · time . . . . . . where speed = 4 mph, and time = h hours

Then the appropriate inequality for Liang's goal of 18 miles or more is ...

  4h ≥ 18

Find the probability that a randomly selected dog is Male given it is a boxer. Enter your answer in decimal form rounded to two decimal places.

Answers

Answer:

0.63

Step-by-step explanation:

M: The selected dog is a male. P(M) = 24/40 = 0.6

B: The selected dog is a boxer. P(B) = 22/40 = 0.55

M and B: 14/40 = 0.35

P(M/B) = 0.35 / 0.55 = 0.63

Simplify the following radicals (in exponential notation) (x^9y^6z^15)^1/3

Answers

[tex]\bf (x^9y^6z^{15})^{\frac{1}{3}}\implies \stackrel{\textit{distributing the exponent}}{\left(x^{9\cdot \frac{1}{3}}y^{6\cdot \frac{1}{3}} z^{15\cdot \frac{1}{3}} \right)}\implies x^3y^2z^5[/tex]

Six out of the 114 elements are noble gases. You write the names of all the elements on cards and select a card at random. What is the probability of not picking a noble gas?​

Answers

Answer:

18/19 = About 95%

Step-by-step:

If only six are noble gases, 108 are not noble gases.

114-6= 108

So, the probability of not picking a noble gas is 108 out of 114. This simplifies to 18/19 which is about 95%.

In the total number of People attending the Game was 64,000, how many people were supporters of the home team

Answers

Answer:

51200 people

Step-by-step explanation:

Multiply the total number by the corresponding decimal to the percentage desired.

64000*.8=51200

How do you solve by graphing

Answers

Answer:

See Explanation Below :)

Step-by-step explanation:

To solve a pair linear equations by graphing, you would first need to find the slope and y-intercept of each of the equation and then graph it in a coordinate plane. Then, you would see where the two lines intersect, and the coressponding coordinates for that point will be your solution.

Example:

y = 2x +2

y = x -1

For the first equation we know the slope (m) is 2 becuase y = mx + b, and m is 2. We know that the y intercept (b) is also 2 becuase y = mx + b, and b is 2.

Similarly, for the second equation the slope (m) is 1 and the y-intercept (b) is -1.

When you use this data and plot the two lines, we can see that they intersect on the 3rd quadrant at (-3,-4) which will be your solution. See the attached graph for this example.

Sarah randomly selected 80 shoppers at a grocery store to taste two different type of greek yogurt. Yogurt brand B was chosen as the favorite by 35 of them. To the nearest percent what is the 95% confidence interval (z*-score 1.96) for the proposition of shoppers who tasted the two types of yogurt and preferred brand B? PLEASE HELP!!!!!

Answers

Answer:

D: 56 and 77

Step-by-step explanation:

Which statement about the dilation of these triangles is true?

Answers

Answer:

answer is b

Step-by-step explanation:

The Scale factor is 2.

What is dilation?

A dilation in mathematics is a function f from a metric space M into itself that, for any locations x, y in M, fulfills the identity d=rd, where d is the distance between x and y and r is some positive real number. Such a dilatation is a resemblance to the space in Euclidean space.

Given

in pre -- image sides are 4, 5, 3

in the image, the sides are 4(2), 5(2), 3(2)

The scale factor is 2.

To know more about dilation refer to :

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which is the equation of the line that is parallel to y=-4x+3 and has a y intercept of -1/3​

Answers

Answer:

y= -4x-1/3

Step-by-step explanation:

i think. but dont quote me on that. and Stan BTS!!!!!!

On a scale drawing, the height of a tree is 3.75 inches.if the scale of the drawing is 1 in: 50ft,how tall is the tree?

Answers

Answer:

187.5

Step-by-step explanation:

50 × 3 =150

50 ÷ 4 = 12.5

12.5 ×3= 37.5

150 + 37.5 =187.5

Answer:

187.5

Step-by-step explanation

50 × 3 =150

50 ÷ 4 = 12.5

12.5 ×3= 37.5

150 + 37.5 =187.5


In Hillcrest School, 36% of middle school students are in Grade 6, 31% are in grade 7, and 33% are in grade 8.

If a middle school student is selected randomly, what is the probability that the student is either in grade 6 or in grade 7?

Answers

Answer:

0.67

Step-by-step explanation:

I need to find tan c please

Answers

Answer: It is 15/17

Step-by-step explanation:

Tan is adjacent over hypotenuse

Martin has a business washing cars. Last year he washed 20 cars a week. This year, he wants to increase his business to 1,200 cars a year. How many cars will he have wash each month on average?

Answers

Great Question!

The last year part is extra information. 1200÷12 (months in a year)= 100

He will have to wash 100 cars each month.

A 3cm x 2cm rectangle sits inside a circle with radius of 4 cm. What is the area of the shaded region? Round your final answer to the nearest hundredth.

Answers

Answer:

The area of the shaded region is [tex]44.24\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

step 1

Find the area of circle

The area of the circle is equal to

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

we have

[tex]r=4\ cm[/tex]

substitute

[tex]A=\pi (4)^{2}[/tex]

[tex]A=16\pi\ cm^{2}[/tex]

step 2

Find the area of rectangle

The area of rectangle is equal to

[tex]A=(3)(2)=6\ cm^{2}[/tex]

step 3

Find the difference

[tex]16\pi\ cm^{2}-6\ cm^{2}[/tex]

assume

[tex]\pi=3.14[/tex]

[tex]16(3.14)\ cm^{2}-6\ cm^{2}=44.24\ cm^{2}[/tex]

whats the y-intercept of 5x-3y=4

Answers

Answer:

y = - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 5x - 3y = 4 into this form

Subtract 5x from both sides

- 3y = - 5x + 4 ( divide all terms by - 3 )

y = [tex]\frac{5}{3}[/tex] x - [tex]\frac{4}{3}[/tex] ← in slope- intercept form

with y- intercept c = - [tex]\frac{4}{3}[/tex]

Method 1: Plunging in 0 for x in the equation and solve for y

5(0) - 3y = 4

0 - 3y = 4

-3y= 4

y = [tex]\frac{-4}{3}[/tex]  <<< y - intercept

Method 2: Converting the equation to slope-intercept form ( y = mx + b) and see what b is (that is the y-intercept). Do do this isolate y

-3y = 4 - 5x

y = [tex]\frac{-4}{3} +\frac{5}{3} x[/tex]

[tex]y = \frac{5}{3} x- \frac{4}{3}[/tex]

b = [tex]\frac{-4}{3}[/tex]  <<< y - intercept

Y- intercept : (0, [tex]\frac{-4}{3}[/tex])

Hope this helped!

Alan earned 23$ 26$ 25$ 24$ 23$ 24$ 6$ 24$ and 23$ gardening. What is the amount he earned?

Answers

Answer:

151

Step-by-step explanation:

23+26=$49

49+25=74

74+24=98

98+6=104

104+24=128

128+23=151

Alan earned a total of $198 from gardening by adding all individual earnings together.

The student is asking about the total amount earned by Alan from gardening. To find the total, we simply add all the amounts mentioned: 23 + 26 + 25 + 24 + 23 + 24 + 6 + 24 + 23. Adding these up, Alan earned a total of $198 from gardening.

What is the measure of ∠ D?


101°


112°


122°


111°

Answers

Answer:

101

Step-by-step explanation:

360 - (78+91+90)

360- 259 = 101

HOPE THIS HELPS!!

use the elimination method to solve the system of equations.choose the correct ordered pair. -3y=x-5 x+5y=7. ​

Answers

Answer:

B. (2, 1)

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}-3y=x-5&\text{subtract x from both sides}\\x+5y=7\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-x-3y=-5\\x+5y=7\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad2y=2\qquad\text{divide both sides by 2}\\.\qquad\qquad y=1\\\\\text{Put the value of y to the second equation:}\\x+5(1)=7\\x+5=7\qquad\text{subtract 5 from both sides}\\x=2[/tex]

The solution of the system of equations is (2, 1).

What is the elimination method?

The elimination method is a process that uses elimination to reduce the simultaneous equations into one equation with a single variable.

The given system of equations  are;

[tex]\rm -3y=x-5\\\\x+5y=7[/tex]

From equation 1

[tex]\rm -3y=x-5\\\\x = -3y+5[/tex]

Substitute the value of x in the equation 2

[tex]\rm x+5y=7\\\\-3y+5+5y=7\\\\2y =7-5\\\\2y=2\\\\y=\dfrac{2}{2}\\\\y=1[/tex]

Substitute the value of y in the equation 1

[tex]\rm -3y=x-5\\\\-3(1)=x-5\\\\-3=x-5\\\\x=5-3\\\\x=2[/tex]

Hence, the solution of the system of equations is (2, 1).

Learn more about system of equation here;

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Given: p: 3x + 7 = –5 q: 4x + 12 = –4 Which is the contrapositive of p → q?

Answers

Answer:

D :If 4x + 12 ≠ –4, then 3x + 7 ≠ −5.

If 4x + 12 ≠ –4, then 3x + 7 ≠ −5. Then the correct option is D.

What is a contrapositive?

If the statement is: p ⇒ q

Then the Contrapositive statement will be: ~q ⇒ ~p

p: 3x + 7 = –5 q: 4x + 12 = –4

The value of x in both cases is the same. Then the p and q are converses with each other.

If 4x + 12 ≠ –4, then 3x + 7 ≠ −5.

Then the correct option is D.

More about the contrapositive link is given below.

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7.5 cm=__ m

A.0.0075
B.0.075
C.0.75
D.750

Answers

Your answer is B. 0.075 m

The answer is B I think

Need help ASAP

1) A new truck that sells for $42,000 depreciates 11% each year. write a function that models the value of the truck. Find the value of the truck after 8 years. Round to the nearest dollar.

2) Earl mows lawns one weekend. He earns $15 for each lawn that he mows. He spends $50 on gas and other supplies. What function equation represents Earl's profit from mowing x lawns?

A)f(x)=50x-15
B)f(x)=50x+15
C)f(x)=15x-50
D)f(x)=15+50

3) find the common geometric series.
-2,-4,-8,-16.....



Answers

Answer:

[tex]\boxed{1) V = 40 000(0.89)^{n}, \text{\$15 746; }\text{2) C) f(x) = 15x - 50 ; 3) }a_{n} = -2^{n}}[/tex]

Step-by-step explanation:

1) Depreciation

The formula for the value V of an asset after depreciation by an annual percentage rate is  

V = P(1 - r)ⁿ

where

P = present value

r = annual percentage rate

n = number of years

Data:

V = 40 000

r = 11 % = 0.11

n = 8 yr

Calculations:

(a) Function model

V= 40 000(1 - 0.11)ⁿ = 40 000(0.89)ⁿ

The function model is [tex]\boxed{ V= 40 000(0.89)^{n} }[/tex]

(b) Future value

V = 40 000(0.89)ⁿ = 40 000 × 0.393 659 = $15 746

In eight years, the truck will be worth [tex]\boxed{ \text{\$15 476}}.[/tex]

2) Profit function

Income from 1 lawn = $15

  Income from x lawns =  15x

Less gas and supplies =         -50        

                 Net income = 15x – 50

The function is [tex]\boxed{f(x) = 15x - 50}[/tex].

3) Geometric series

(a) Calculate the common ratio

a₁ = -2

a₂ = -4

a₃ = -8

a₄ = =16

The ratios of consecutive pairs are

a₄/a₃ = -16/(-8)  = 2

a₃/a₂ =   -8/(-4)  = 2

a₂/a₁ =   -4/(-2)  = 2

All adjacent pairs have the same common ratio r = 2.

(b) Write the formula for the series

The formula for the nth term of a geometric series is

aₙ = a₁rⁿ⁻¹

If a₁ = -2, the formula for the series is

aₙ = -2(2)ⁿ⁻¹ = -2ⁿ

The formula for the series is [tex]\boxed{a_{n} = -2^{n}}[/tex].

PLZ HURRY IT'S URGENT!!
A square tray has an area of 196 square inches. What is the length of one side of the tray? A. 12 inches B. 13 inches C. 14 inches D. 16 inches

Answers

Answer:

C. 14 inches

Step-by-step explanation:

The area of a square is given by

A = s^2

We know the area is 196 in ^2

196 in^2 = s^2

Take the square root of each side

sqrt(196) = sqt (s^2)

14 =s

Each side is 14 inc

Answer:

C.14

Step-by-step explanation:

a=length time width so 14*14=196  

A man bought a refrigerator at a discount of 12 percent. It's usual price was $900.How much did he pay for the refrigerator

Answers

Multiply by .88, he paid $792

Answer:

$792

Step-by-step explanation:

Distributive Property

Drag the item from the item bank to its corresponding match.

Use these choices for the A, B, C, D, E
3(4 + 7)

5(9 - 6)

66 × 7

8 (4 + 2)

97 × 4


A. (3 × 4) + (3 × 7)

B. (5 × 9) - (5 × 6)

C. 32 +16 = 48

D. 4(100 - 3)

E. 7(60 + 6)

Answers

Answer:

A. (3 × 4) + (3 × 7)

3(4 + 7)

B. (5 × 9) - (5 × 6)

5(9 - 6)

C. 32 +16 = 48

8 (4 + 2)

D. 4(100 - 3)

97 × 4

E. 7(60 + 6)

66 × 7

Step-by-step explanation:

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