PLEASE HELP QUICK
Which expressions are equivalent to ? Check all that apply. 81 8-1 9-2 98 94 98 910 9-6.93 95.9-7​

PLEASE HELP QUICK Which Expressions Are Equivalent To ? Check All That Apply. 81 8-1 9-2 98 94 98 910

Answers

Answer 1

Answer:

Options (2), (4) and (6)

Step-by-step explanation:

Option (1)

[tex]8^{-1}=\frac{1}{8}[/tex]

Not equivalent to [tex]\frac{1}{81}[/tex].

False.

Option (2)

[tex]9^{-2}=\frac{1}{9^2}[/tex]

      [tex]=\frac{1}{81}[/tex]

True.

Option (3)

[tex]\frac{9^{8}}{9^{4}}=9^{(8-4)}[/tex]

    [tex]=9^{4}[/tex]

    = 6561

False.

Option (4)

[tex]\frac{9^8}{9^{10}}=9^{8-10}[/tex]

     [tex]=9^{-2}[/tex]

     [tex]=\frac{1}{81}[/tex]

True.

Option (5)

[tex]9^{-6}9^{3}[/tex] = [tex]9^{-6+3}[/tex]

         = [tex]9^{-3}[/tex]

         = [tex]\frac{1}{9^3}[/tex]

         = [tex]\frac{1}{729}[/tex]

False

Option (6)

[tex]9^{5}9^{-7}=9^{(5-7)}}[/tex]

          [tex]=9^{-2}[/tex]

          [tex]=\frac{1}{9^2}[/tex]

           [tex]=\frac{1}{81}[/tex]

True.

Therefore, Options (2), (4) and (6) are the correct options.

Answer 2

Applying the negative exponent rule of power, the expressions that are equivalent to the given expression, 1/81, are: B, D, and F.

What is the Negative Exponent Rule of Power?

The negative exponent rule states that: [tex]a^{-n} = \frac{1}{a^n}[/tex].

Thus, given the expression, 1/81, it can be rewritten or simplified as follows:

1/81 = [tex]81^{-1} = 9^{-2}[/tex] = [tex]\frac{9^8}{9^{10}}[/tex] = [tex]9^5 \times 9^{-7}[/tex]

The expressions that will be equivalent to 1/81 can be expressed, based on the negative exponent rule of power, as:

[tex]9^{-2}, \frac{9^8}{9^{10}} , 9^5 \times 9^{-7}[/tex] (option B, D, and F).

Learn more about negative exponent rule on:

https://brainly.com/question/11975096

#SPJ5


Related Questions

Jessica cuts a ribbon with a length of 12 inches into three pieces such that the length of
one piece is 3 1/2 inches and the lengths of the other two are the same. What is the length of each of the other two pieces?

A. 2 1/2 inches

B. 4 1/4 inches

C. 7 3/4 inches

D. 8 1/2 inches

Answers

Answer:

B 4 1/4

Step-by-step explanation:

Answer:

Its B. 4 1/4

Step-by-step explanation:

How it helps!

how do you solve these problems?

a. (2/7)x + 5= -21 and

b. 1/2(18x-2)=0

Answers

A is x=-91
B is x=1/9

Money is borrowed at 10% simple interest. After one​ year, ​$597.30 pays off the loan. How much was originally​ borrowed?

Answers

that means it’s $925

Answer:

$543

Step-by-step explanation:

597.3/1.10 =543

543*.10 = 54.3

597.3-54.3 = 543

Please help me on this question 30 points on the line ​

Answers

Answer:

4(x-3) = 8

Step-by-step explanation:

4 times the difference would be 4(x-y), and we already know what y is, which is 3. Finally, the "is 8" means "equals 8" giving us our equation: 4(x-3) = 8.

Answer:

4(x-3) = 8

Step-by-step explanation:

(2) Janie has 5 purple grapes and 8 red grapes. Select the ratios that compare the number of red grapes to the total number of grapes. Mark all that apply. A) 8 to 5 B) 8:13 C) 8/13

Answers

Answer:

B

Step-by-step explanation:

Both B and C are right btw. Ratios can be both fractions and in the (x:Y) format.

8 red grapes to 13 total grapes=

8:13 or 8/13

The population of a small town was 1200 people in 1998. In 2008 the population of that same town was recorded as 6,000. What was the percent of increase?

Answers

Answer:

The population had a 400% increase


1. True or false: A function is a rule that assigns each input exactly one
output.
True
False

Answers

True a function is a rule that assigns each input exactly one output.

Can someone please tell me the answer ..

Answers

Answer:

148

Step-by-step explanation:

Please help!!!!! Explain

Answers

Answer:

If the total price of an object is A, and we have a tax of X%, then the new price of the object is:

Price = A + A*(X%/100%) = A*(1 + X%/100%)

In this case, the initial price of the car is:

A = $16,368

a) the tax is 6.6%

In this case, the price will be:

Price = $16.368*(1 + 6.6%/100%) = $17,448.288

b) the tax is 8.25%

In this case, the price will be:

Price = $16.368*(1 + 8.25%/100%) = $17,718.36

c) the tax is r.

we only replace X% by r.

Price = $16.368*(1 + r/100%)

d) We want to solve for r the above equation, we just need to isolate r.

Price/( $16.368) = (1 + r/100%)

Price/($16.368) - 1 = r/100%

(Price/($16.368) - 1)*100% = r

a ship sails 400km in 18hours.how many days will it take to cover 1600km at the same rate?​

Answers

Answer:

72 hours

Step-by-step explanation:

1600/400=4

so 4 x 18= 72 hours

400km=18hrs
1600km=xhrs
4xkmhrs = 288kmhrs
xhrs = 288kmhrs/4km
xhrs = 72 hours

Please Help ASAP

1. Andrew and Griffin both worked hard over the weekend. Together they earned a total of $65. Griffin earned $15 more than Andrew.
(a) Write a system of equations for the situation. Use a for the amount Andrew earned and g for the amount Griffin earned.
(b) Graph the equations in the system.
(c) Use your graph to estimate how much each person earned. (You must solve by graphing, other solving methods will not earn credit)

Answers

Answer:

2x-15=65

Step-by-step explanation:

You have to subtract 15 dollars from 65 because it is extra money that Griffin had earned. Now you are left with 40 so now you would divided 2 since its both Griffin and Andrew. At the end, Griffin earned 35 dollars and Andrew earned 20 dollars.

Find the equation of the linear function represented by the table below in slope
intercept form

Answers

Answer:

y=x+2.

Step-by-step explanation:

1. if the point A has coordinates (-3;1) and B - (1;3), then it is possible to make up the equation:

[tex]\frac{x-X_A}{X_B-X_A}= \frac{y-Y_A}{Y_B-Y_A}; \ => \frac{x+3}{4} =\frac{y+1}{4};[/tex]

2. if to evaluate the equation, then

x+3=y+1; ⇔ y=x+2 (slope-interseption form).

The size of a jar of coffee is increased by one 1/5. The new size is later reduced by 1/5
Is the new jar smaller, the same size or larger than the original?

Answers

Answer:

The new jar would be smaller than the original.

Step-by-step explanation:

First you would have to find one 1/5 of the original size. This gives you the increased size.

Then, you'd find 1/5 of the new size and subtract it from the increased size of the jar.

1/5 of the increased size is larger than 1/5 of the original size, so no matter what number it is, you'll always end up with a smaller-sized jar of coffee at the end.

The new jar would be smaller than the original.

What is the scale factor?

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

First, you would have to find one 1/5 of the original size. This gives you the increased size.

Then, you'd find 1/5 of the new size and subtract it from the increased size of the jar.

1/5 of the increased size is larger than 1/5 of the original size, so no matter what number it is, you'll always end up with a smaller-sized jar of coffee at the end.

To know more about scale factors follow

https://brainly.com/question/25722260

#SPJ2

Useless people all races ages 8-30 go do something with your life and do something that is worth of memory before its all gone the after life is a very nice place to go to but if you guys keep acting so foolish you will have to go to hell unless you want to replenish those sins and bad things you have done even if god does not exist a bad and good place will.

Answers

Answer:

i agree 100%

Step-by-step explanation:

David canoes 20km downstream in 2.5 hours his return trip takes 4 hours find the rate of his current. A 1.5 km/h B 1 km/h C 0.5 km/h D 2.5 km/h

Answers

Answer:

1.5 km/hour

Step-by-step explanation:

d is the David's speed in still water

c is the speed of the current

Going with the current, he travels d+c km per hour.

Going against the current, he travels d-c km per hour.

d+c = (20 km)/(2.5 hours) = 8 km/hour

d-c = (20 km)/(4 hours) = 5 km/hour

Add the equations to eliminate the c terms

d+c = 8

d-c = 5

----------

2d = 13

d = 6.5 km/hour

c = 8-d = 1.5 km/hour

Find the value of each angle mentioned above.​

Answers

Answer:

36°, 42°, 72°, 102°, 108°

Step-by-step explanation:

Angles at a point = 360°

Therefore:

(3x - 6) + x + 3x + 2x + (x + 6) = 360°

Open parthenogenesis

3x - 6 + x + 3x + 2x + x + 6 = 360

Add like terms

10x = 360

Divide both sides by 10

x = 36

✔️Value of each angle:

Plug in the value of x in each expression

x = 36°

3x - 6 = 3(36) - 6 = 102°

3x = 3(36) = 108°

x + 6 = 36 + 6 = 42°

2x = 2(36) = 72°

The volume of a cube is 1.8 m3. Find the length of its edge to the nearest tenth of a
meter. (V = 53)
** Round to one decimal place.

Answers

The length of an edge is the cubic root of the volume.

Cubic root 1.8 = 1.2 meters

Why is 2/10 equivalent to 1/5?

Answers

Answer:

If you divide both top and bottom of [tex]\frac{2}{10}[/tex] by 2, you get [tex]\frac{1}{5}[/tex]

Answer:

because you have to find common denominators

2/10= 1/5

2/10= 1x2/5x2

Whatever you do to the bottom, you do to the top so that is why i also multiplied the numerator by 2.

2/10=2/10

Hope it helped!! Pls mark brainliest :)) Have a good day

Step-by-step explanation:


Two of the known angles in a trianglemeasure 120 and 22 What is the measure of the third angle?

Answers

Answer:

120+22+x=180

x=38

120+22+38=180

Step-by-step explanation:

Hope it helps

Mark me as brainiest

On a scale drawing, a school is 1.6 feet tall. the scale factor is 1/22. Find the height of the school

Answers

Answer:

35.2 ft

Step-by-step explanation:

Multiply the scale factor and the height.

35.2
You need to multiplying the scale factor and the height

b) Simplify (4ab^2)^3​

Answers

Answer:

[tex]64a^{3} b^{6}[/tex]

Step-by-step explanation:

[tex](4ab^2)^3[/tex]

=> [tex]4^{3} a^{3} b^{6}[/tex]

=> [tex](4 \times 4 \times 4) a^{3} b^{6}[/tex]

=> [tex]64a^{3} b^{6}[/tex]

Factorise this expression as fully as possible
2x2 + 6x

Answers

Answer:

The factored expression is: [tex]2x(x + 3)[/tex]

Step-by-step explanation:

We are given the following expression:

[tex]2x^2 + 6x[/tex]

To factorize it as fully as possible, we first find the GCF between the numeric values, and the coefficients:

Numeric:

GCF between 2 and 6 is 2, because:

2 - 6| 2

1 - 3|

1 and 3 are not divisible by the same number, so 2.

Coefficient:

Between x² and x, x.

Factorizing:

Simplifying by 2x.

[tex]2x(\frac{2x^2}{2x}+\frac{6x}{2x}) = 2x(x + 3)[/tex]

The factored expression is: [tex]2x(x + 3)[/tex]

Is 15 ft 20 ft 24 ft a right triangle

Answers

Answer:

No

Step-by-step explanation:

If:

a=15

b=20 then

c (hypotenuse)=25

Answer:

No

Step-by-step explanation:

A right angle is always 90°

u add up all the sides, if it doesn't equal 90 then it's not a right triangle.

so 15 + 20 + 24 = 59 so this is not a right triangle.  

Write an equation for a line perpendicular to h(t) = -2t +4 and passing through the point (-4, -1).

Answers

Answer:

y=1/2t+1

Step-by-step explanation:

To get a perpendicular line, the slopes have to be reciprocals.

Determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship does define y implicitly as a function of x and use implicit differentiation.
y - ln y = x^2 + 1, dy/dx = 2xy/y - 1
x^2 + y^2 = 4, dy/dx = x/y
e^xy + y = x - 1, dy/dx = e^-xy - y/e^-xy + x

Answers

Answer:

dont know

Step-by-step explanation:

a cylindrical water tank has a diameter of 4m and a height of 3m.while a water tank shaped like a rectangular prism has a length of 7m.a width of 2 meters and a height of 2 meters. which of the tanks can hold more water? by how many cubic meters?​

Answers

Answer:

The cylindrical tank can hold 9.7 cubic meter  more water than the rectangular prism shape tank .

Step-by-step explanation:

We are given that

Diameter of cylinderical water tank, d=4 m

Radius of  cylinderical water tank,r=d/2=4/2=2 m

Height of  cylinderical water tank,h=3 m

Length of rectangular prism, l=7 m

Width of rectangular prism ,w=2 m

Height of rectangular prism, h=2m

Volume of cylinder=[tex]\pi r^2 h[/tex]

Where [tex]\pi=3.14[/tex]

Using the formula

Volume of cylinderical tank=[tex]3.14(2)^2\times 3=37.7m^3[/tex]

Volume of rectangular prism=[tex]lwh[/tex]

Using the formula

Volume of rectangular prism=[tex]7\times 2\times =28m^3[/tex]

Difference between volumes=37.7-28=9.7 cubic meters

Hence, the cylindrical tank can hold 9.7 cubic meter  more water than the rectangular prism shape tank .

Suppose you are an expert on the fashion industry and wish to gather information to compare the amount earned per month by models featuring Liz Claiborne attire with those of Calvin Klein. The following is the amount ($000) earned per month by a sample of 15 Claiborne models:

$4.7 $3.8 $6.7 $3.8 $3.9 $4.2 $4.0 $4.0 $4.8 $3.1 3.1 5.5 3.4 6.1 4.9

The following is the amount ($000) earned by a sample of 12 Klein models.

$4.0 $3.8 $3.6 $2.5 $4.9 $5.2 $5.9 $4.9 $4.4 $3.6 5.1 4.7

Required:
a. Find the degrees of freedom for unequal variance test.
b. State the decision rule for 0.05 significance level: H0: μLC ≤ μCK; H1: μLC > μCK.
c. Compute the value of the test statistic.
d. Is it reasonable to conclude that Claiborne models earn more? Use the 0.05 significance level.

Answers

Answer:

24 ; Tstat > Tcritical ; 0.052 ; Fail to eject the Null

Step-by-step explanation:

Claiborne model:

$4.7 $3.8 $6.7 $3.8 $3.9 $4.2 $4.0 $4.0 $4.8 $3.1 $3.1 $5.5 $3.4 $6.1 $4.9

Sample size, n1 = 15

Using calculator :

Mean, m1 = 4.4

Standard deviation, s1 = 1.056

Klein model:

$4.0 $3.8 $3.6 $2.5 $4.9 $5.2 $5.9 $4.9 $4.4 $3.6 $5.1 $4.7

Sample size, n = 12

Mean, m2 = 4.38

Standard deviation (s) = 0.923

To obtain the degree of freedom for unequal variances test, use the Relation :

Degree of freedom (DF) = (s1²/n1 + s2²/n2)² / { [ (s1² / n1)² / (n1 - 1) ] + [ (s2² / n2)² / (n2 - 1) ] }

(1.056^2/15 + 0.923^2/12)^2 / {[(1.056^2/15)^2 / (15 - 1)] + [(0.923^2/12)^2 / (12 - 1)]}

0.0211226 / (0.0003947 + 0.0004581)

= 24.768527

df = 24 rounded down to the nearest whole number.

Decision region :

α = 1-0.95 = 0.05

Tdf, 0.05 = 1.711

Tcritical = 1.711

Reject Null, if Tstat > Tcritical

The t - test statistic :

(m1 - m2) / (s1²/n1 + s2²/n2)

(4.4 - 4.38) / sqrt(1.056^2 / 15 + 0.923^2 / 12)

0.02 / 0.3812301

= 0.0524617

= 0.052

Since, Tstat < Tcritical, we fail to reject the Null. It is not reasonable to conclude that Claiborne model earns more.

What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?

Answers

Answer:

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Step-by-step explanation:

According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)

Where:

[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.

[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.

[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].

If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:

[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]

[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]

[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]

[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]

[tex]c \approx 3.195[/tex]

[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].

Answer:

C. 1/2(e^2-1)

Step-by-step explanation:

Edge AP Cal 2022

2 1/2 divided by 3 4/6=?
Please help me.

Answers

Answer:

15/22

Step-by-step explanation:

The table shows locations on a map.
Place
park
farmers market
Location
•(-2,2)
(-2,3)
(2, 2)
(6,-3)
post office
bus stop
Which places on the map are 4 units apart?
the park and the farmer's market
O the farmers market and the bus stop
O the post office and the park
O the post office and the bus stop

Answers

Answer:

The table shows locations on a map.

Place

parkfarmers marketpost officebus stop

Location

(-2,2)(-2,3)(2, 2)(6,-3)

Which places on the map are 4 units apart?

O the park and the farmer's market

O the farmers market and the bus stop

the post office and the park

O the post office and the bus stop

Step-by-step explanation:

Distance :---

[tex]→ \sqrt{ {(2 - ( -2 ))}^{2} + {(2 - 2)}^{2} } \\ = \sqrt{ {4}^{2} + {0}^{2} } = \sqrt{ {4}^{2} } = \boxed{4 \: units}[/tex]

Other Questions
Suppose a designer has a palette of 14 colors to work with, and wants to design a flag with 4 vertical stripes, all of different colors.How many possible flags can be created? To prepare for the class debate about the importance of space exploration, Kyle creates an agenda and a list of rules to share before the debate begins.Based on his actions, what will be Kyles role in the debate?teacherlistenermoderatorparticipant 1. Graph y = x?. Try and do it without using the table 1) Determine the length of "x" in the following triangle and mention if you're solvingfor a leg or a hypotenuse.. (5 pts.)55 Solve for x.Please I need help A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 6 cubic feet and the volume of each large box is 12 cubic feet. There were twice as many small boxes shipped as large boxes shipped and the total volume of all boxes was 168 cubic feet. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system. What is a verbal expression for b-9 what is the slope of this equation, v=3x+60 A ball thrown in the air has a height of h(t)- 16t^2 + 50+ + 3 feet after t seconds.Part A: What is the average rate of change for h(t) between t=0 and t = 2?A. 36 seconds per secondB. -36 feet per secondC.-18 Seconds per secondD. 18 feet per secondPART B.Is the average of the height of the ball increasing or decreasing. can someone help me? its due in 10 minutes. a box contains 5 chocolate chip cookies, 4 sugar and 6 oatmeal raisin. what is the probability of picking a chocolate chip cookie? Loan 1: Loan Amount: $10,000 Interest Rate: 12 percent Loan Term: 12 months Upfront fees: $125.00 Monthly Payment: $888.49What is the total amount paid on Loan 1? Choose an appropriate unit of measurement for each quantityarea of a rectanglevolume of a prismside of a squarearea of a squarevolume of a cubecm Select the word that offers the best synonym for taboo. Phil was a pretty mysterious guy, and Clyde was warned that asking Phil about the crooked scar on his hand was taboo. But even though it was forbidden, Clyde blatantly questioned Phil about how he got the scar. Needless to say, Phil was not amused by this turn of events. A. forbidden B. mysterious C. amused D. crooked Scarly bought 3 pounds of cashews. Each pound of cashews cost $2.98. She paid with a $20 bill. How much change did Scarly get back? 2. The sum of two numbers is 52. Thedifference of the two numbers is 6.What are the numbers? Ryan had some candy to give to his five children. He took three pieces for himself and then evenly divided the rest among his children. Each child received two pieces. With how many did he start? Given f(x) = -x + 2, find f(-5). Sheri surveyed eighty students and then generated three random samples of twenty-five student responses. The means of the samples are shown below. when was yesterday.