Select the equivalent expression,
1/a(7)

=?
Choose 1 answer:
7(a)

A 1/7

a-7

Answers

Answer 1
7(a)
1/a x 7 would give you your equivalent expression
Answer 2

The equivalent expression to given expression 1/a⁷ is a⁻⁷. So, correct option is A.

The equivalent expression to 1/a⁷ can be found using the rule of exponents.

The rule states that when a non-zero number is raised to a negative exponent, it becomes the reciprocal of the number raised to the positive exponent.

In this case, the expression 1/a⁷ has a negative exponent, which means it can be written as the reciprocal of a raised to the positive exponent:

1/a⁷ = a⁻⁷

So, the correct equivalent expression is option a) a⁻⁷.

Option b) 7ᵃ is not equivalent to 1/a⁷. 7ᵃ means "7 raised to the power of a," which is different from 1/a⁷.

Option c) None of the above is also not correct because option a) a⁻⁷ is indeed the equivalent expression to 1/a⁷.

In summary, the equivalent expression to 1/a⁷ is a⁻⁷, which is option a).

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Complete question is:

Select the equivalent expression,1/a⁷=?

a) a⁻⁷

b) 7ᵃ

c) None of the above


Related Questions

Find the distance between the points ( – 4,8) and ( – 4, – 5)

Answers

Answer:

they are 13 points away from eachother

Step-by-step explanation:

count up or down then left or right

Answer:

13 units.

Step-by-step explanation:

Distance = √[(x2-x1)^2 + (y2-y1)^2]     where (x1,y1) and (x2,y2) are the 2 points

So here the distance =  √(-4 - -4)^2 + (8 - -5)^2)

√(0 + 13^2)

= 13

See the picture below.

Answers

Answer:

in photo

Step-by-step explanation:

remember you still need to round it to 2 decimal places!!

I need this answered please

Answers

Answer:

80 yds^2

Step-by-step explanation:

A=2(wl+hl+hw)=2·(2·2+9·2+9·2)=80

By definition, theoretical probability is equal to:

A.

No. Of favorable outcomes

Total no. Of possible outcomes

B.

No. Of total outcomes

Total no. Of impossible outcomes

No. Of total outcomes

C.

Total no. Of possible outcomes

D.

No. Of possible outcomes

Total no. Of favorable outcomes

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The Correct choice is A

Theoretical probability is defined as number of favorable outcomes out of Total possible outcomes.

That is :

[tex]\qquad \tt \dashrightarrow \: \dfrac{ \texttt{No. of favorable outcomes}}{ \texttt{Total number of possible outcomes}}[/tex]

By definition, Theoretical probability is equal to,

⇒ Number of favorable outcomes / Total no. of possible outcomes.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

To find the definition of Theoretical probability.

Now, We know that;

Theoretical probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.

Hence, By definition, Theoretical probability is equal to,

⇒ Number of favorable outcomes / Total no. of possible outcomes.

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The product of two rational numbers is 6 If one of them is 8 find the other numbers

Answers

Answer:

3/4

Step-by-step explanation:

8x = 6

x = other number = 6/8 = 3/4

7) It Snowed 55" this winter. Last winter it snowed 60". What is the approximate percent declir
in snowfall this winter?
a. 8%
b. 9%
C. 10%
d. 11%

Answers

Let's see

[tex]\\ \rm\dashrightarrow \dfrac{60-55}{60}\times 100[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{5}{60}\times 100[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{50}{6}[/tex]

[tex]\\ \rm\dashrightarrow 8.3\%[/tex]

PLEASE HELP !!! FIND THE SLOPE OF THE LINE

Answers

Answer:

Slope=1

Solution:There are several ways to find the slope. Here's one of them:Pick two points on the line, plug them into the slope formula and simplify.I chose the following points: (-1, 0) and (0, 1)Plug them into the formula:[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex][tex]\displaystyle\frac{1-0}{0-(-1)} =\frac{1}{0+1} =\frac{1}{1}=1[/tex]

Hope it helps.

Do comment if you have any query.

Answer: Slope=1

Step-by-step explanation:

Please help me with this!!! (Please no scams or fake answers)

Answers

Step-by-step explanation:

maybe if i reply I'll get points or whatever

120 students were surveyed about which vegetable is their favorite.

Answers

Answer:

48 Students

Step-by-step explanation:

It is given that the total number of students is 120, and to find the amount of students that chose carrots or potatoes as their favorite vegetable multiply the percentage by 120 and add. 120 * .1 = 12. 120 * .3 = 36. 36 + 12 = 48.

Answer:

48 Students

Step-by-step explanation:

Two times the sum of four times a number plus six is the same as five less than twice the same number what is the number?​

Answers

Answer:

[tex]\frac{-17}{6}[/tex]

Step-by-step explanation:

Let x be the number we want to find.

First we analyze the given informations

Info 1 : Two times the sum of four times a number plus six

We translate this statement (info 1) mathematically as :  2×(4x + 6)

Info 2 : five less than twice the same number

We translate this statement (info 2) mathematically as : 2x - 5

Info 1 is the same as Info 2 ⇔ 2×(4x + 6) = 2x - 5

2×(4x + 6) = 2x - 5

⇔ 8x + 12 = 2x - 5

⇔ 8x - 2x = -5 - 12

⇔ 6x = - 17

⇔ x = -17/6

Sarah deposited $920 into a savings account 6 years ago. The account earns 7 --% interest, compounded annually. How much 3 interest has she earned? Answer in dollars and round to the nearest cent.​

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$920\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases}[/tex]

[tex]A=920\left(1+\frac{0.07}{1}\right)^{1\cdot 6}\implies A\approx 1380.67~\hfill \underset{earned~interest}{\stackrel{1380~~ - ~~920}{\approx 460.67}}[/tex]

Points R(-6,-5),S(-2,-5) and T(-2,n) are plotted in the coordinate plane. The distance between points R and S is half the distance between points S and T. The value of n could be blank or blank.

Answers

The square of the distance between two points is the sum of the squares of the difference between two coordinates. The value of n can be -13 or 3.

What is the distance between two points?

The distance between two points is given by the formula,

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

As it is given that the distance between points R and S is half the distance between points S and T.

[tex]2(RS) = ST[/tex]

Now, the distance between RS can be written as,

[tex]RS=\sqrt{[-6-(-2)]^2+[-5-(-5)]^2}\\RS = \sqrt{(-6+2)^2+(0)^2}\\RS = \sqrt{16}\\RS = \pm 4[/tex]

Further, we can write,

[tex]2(RS) = ST\\\\2(\pm 4) = \sqrt{[-2-(-2)]^2+[-5-n]^2}\\\\\pm 8 = \sqrt{(0)^2+(-5-n)^2}\\\\\pm 8^2=(-5-n)^2\\\\\pm8=(-5-n)\\\\[/tex]

When the value of 8 is positive,

[tex]+8+5=-n\\\\13=-n\\\\n=-13[/tex]

When the value of 8 is negative,

[tex]-8+5=-n\\\\-3=-n\\\\n=3[/tex]

Hence, the value of n can be -13 or 3.

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2/5+7/20 can y’all help me

Answers

Answer:

3/4

hope this helps. have a nice day :>

The answer would be 2/5 which equals .4 plus 7/20 which would be .35. .35+.4 would be .75

Which of the following points lies on the circle x2 + y2 = 400

Answers

Answer:

C is the answers for the question

Which number is equivalent to 3.4/3.2?
A. 2
B. 9
C. 81
D. 729

Answers

Answer:

1.0625

Step-by-step explanation:

3.4 divided by   3.2  =  1.0625       Did you enter your Q and A correctly ?

Pls help I need this

Answers

Step-by-step explanation:

I hope this helps, you take the substitution and put it in where the variable once was in parenthesis, then you let them interact as the vaiable onece was but now you can solve because you know the value.

A dime has a radius of 8.5 millimeters. Find the circumference of a dime to the nearest tenrh

Answers

The answer is 53.428…. Because you want to round it to the nearest tenth, the final answer will be 53.4 millimeters.

Nicole bought a meal in a town that has no sales tax. She tips 20%. Select all meals Nicole could buy with less than $16 total.


A-$12. 36

B-$12. 50

C-$13. 00

D- $14. 79

E- $14. 99

Answers

Answer:

I'm missing some information... but I'll answer the question regardless

x=the cost of the meal

1.2x≤$15

divide both sides by 1.2

x≤$12.5

In short, this means that Nicole can buy anything that costs $12.50 or less.

An expression is shown in the photo, which statement is true about the expression? Options are in the photo.

Answers

Answer:

It is irrational and equal to 4square root 2

rewrite the function in an equivalent form the would reveal the vertex of the function f(x)=x^2+8x+6

Answers

Answer:

f(x)=(x+4)-10

Step-by-step explanation:

Since the function f(x)=x^2+8x+6 is in standard form, you need to find the axis of symmetry using the formula -b/2a, and then plug the value back into the original equation to find the vertex.

The vertex is (-4, -10)

Using this information, we can rewrite the equation in vertex form (f(x=a(x-h)+k), where (h, k) is the vertex.

The equation we rewrite is f(x)=(x+4)-10

HELP ILL GIVE BRAINLIEST

Line A has a slope of 6. Line B has a slope of -1/6. Are these lines perpendicular?

Answers

Answer:

Yes

Step-by-step explanation

Lines are perpendicular when they have the reprocial slope with the opposite sign.

Yes, the lines having slopes 6 and -1/6 are perpendicular.

What is slope?

The slope of a line is a number that describes  the direction  of the line. The formula of calculating slope is calculated as under:

Slope=[tex](y_{2} -y_{1} )/(x_{2} -x_{1} )[/tex].

How to identify perpendicular lines?

We have been given that the slope of line A is 6 and slope of line B is -1/6.

Two lines are seem to be perpendicular to each other if the product of their slopes is equal to -1.

Product=slope of line A * Slope of line B

=6*(-1/6)

=-6/6

=-1

Hence the lines having slopes 6 and -1/6 are perpendicular to each other.

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Thank you for answering this question.

Answers

Note the rules

a^m×a^n=a^m+n(a^m)^n=a^mn

[tex]\\ \rm\Rrightarrow \dfrac{7^{12}7^9}{(7^6)^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{7^{21}}{7^{18}}[/tex]

[tex]\\ \rm\Rrightarrow 7^3[/tex]

[tex]\\ \rm\Rrightarrow 729[/tex]

A botanist is using two types of plants for an experiment. she writes inequalities to model the constraints on the number of each type of plant she can use. she uses linear programming to find the vertex of the feasible region that results in the minimum value, in dollars, of the cost function. if that vertex is (5, 39), what do the coordinates represent? buying five of one type of plant and 39 of the other type of plant results in the lowest cost. buying five of each type of plant costs $39, which is the lowest possible cost. the lowest possible cost of the plants is $5, which occurs when 39 of each type of plant are bought. the lowest possible cost of the plants is $5, which occurs when a total of 39 plants are bought.

Answers

The coordinates represent the numbers of plants of each type she can use and minimize the cost

Let x be the number of plants of one type.

y be the number of plants of the other type.

What is the meaning of the vertex of the feasible region?

The optimal solutions will occur at one or more of the extreme points this is the vertices of the feasible region.

We have, The vertex of the feasible region that results in the minimum value of the cost function is (5,39).

That means buying 5 of one type of plant and 39 of the other type of plant results in the lowest cost.

Thus the coordinates represent the numbers of plants of each type she can use and minimize the cost.

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Answer:

Buying five of one type of plant and 39 of the other type of plant results in the lowest cost.

Step-by-step explanation:

7th grade math escape room: geometry Math in the Midwest 2019

Answers

An example of 7th grade geometry Math in the Midwest 2019 is Puzzle: Simplify -5 + 8 - 7.

What is geometry ?

Geometry is known to be an aspect of mathematics that  deals with the study of sizes, positions of angles, and others.

To simply the above, -5 + 8 - 7, follow the rule of BODMAS. and thus: we solve for addition before subtraction.

= -5 + 8 = 3

3 - 7 = -4

Therefore the simplified form of  -5 + 8 - 7 is -4

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A country pledges to reduce its annual CO2
emissions by 5% per year. If the emissions in
2022 are 6,080 Mt (metric megatons), what are
the maximum allowable emissions in the year
2029?

Answers

A country pledges to reduce its annual  CO₂ emissions by 5% per year, the maximum allowable emissions in the year 2029 is,  4245.89 Mt

What is the percentage?

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

A country pledges to reduce its annual CO₂ emissions by 5% per year

The emissions in 2022 are 6,080 Mt

The maximum allowable emissions in the year 2029 = ?

In 2022   CO₂ emission  = 6,080 Mt

5% reduces next year

So, In 2023

CO₂ emission  =  6080(1 - 0.05)

In 2024

CO₂ emission  =  6080(1 - 0.05)(1 - 0.05)

So after 7 years in 2029

CO₂ emission  =  6080(1 - 0.05)⁷

                        =  4245.89

Hence, the maximum permissible emission is  4245.89 Mt

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Delta math: Angle Terminology with Equations

Answers

Answer:

m∠A = 139°

Step-by-step explanation:

First we must know that

Supplementary angles equal to 180 degree.

Since we know that supplementary angles equal to 180 degree we can solve now:

Putting m ∠A and m ∠ B together and put the = 180

( 7x - 15 ) + ( 2x - 3 ) = 180

Now solving for x:

( 7x - 15 ) + ( 2x - 3 ) = 180

9x - 18 = 180

9x - 18 + 18 = 180 + 18

9x  = 198

9x/9 = 198/9

x = 22

Hence,  Angle A will have a measure of 7x - 15 which means  7 ×  22 -15 = 154 - 15 = 139°

m∠A = 139°

The measure of Angle B will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°

m∠ B = 41°

139 + 31= 180

[RevyBreeze]

Supplementary angles have sum 180°

7x-15+2x-3=1809x-18=1809x=198x=198/9x=22

m<A

7(22)-15=154-15139

3. A square pyramid has a base with a side length
of 3 ft and lateral faces with heights of 2 ft. What
is the lateral area of the pyramid?

Answers

The lateral area of the pyramid is 15!

Please, Please, Please Help MEE!! ASAP!

Answers

1a. 35

b. 17.5

c. 3.5d

2. $4.5

What is 112.491 written in word form?​

Answers

Answer:

112.491 = one hundred twelve and four hundred ninety-one

thousandths.

Step-by-step explanation:

The table below shows the cost of a monthly gym membership.

Which equation would you use to find the total cost,
T, of the gym membership for m months?
1. T=30m+25
2. T=15m
3. T=30m+15
4. T=45m

Answers

Answer: $15+( 30×the number of months)

The third answer iis right.

Step-by-step explanation: First month you pay 15 And you top up with 30 every month

Answer:

3

Step-by-step explanation

bc you need to look at one month and its 45 each month its 30 + 15

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