Which expression is equivalent to 7^3 * 7^-57
a. 7^2
b. 7^7
c. 1/7^2
d. 1/7^7

Answers

Answer 1

Answer:

c. 1/7^2

Step-by-step explanation:

As,

[tex] {7}^{3} \times {7}^{ - 5} [/tex]

[tex] = {7}^{3 - 5} [/tex]

[tex] = {7}^{ - 2} [/tex]

[tex] = \frac{1}{ {7}^{2} } [/tex]

Answer 2

Answer:

c. (1/7^2) is the answer


Related Questions

The Rivera family bought a new tent for camping. Their old tent had equal sides of 10 feet and a floor width of 15 feet, as shown in the accompanying diagram. If the new tent is similar in shape to the old tent and has equal sides of 16 feet, how wide is the floor of the new tent?

Answers

Answer:

25.6 feet

Brainliest, please!

Step-by-step explanation:

10/16 = 16/x

5/8 = 16/x

5 = 128/x

x = 128/5

x = 25.6

The floor of the new tent is 24 feet wide.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b.

Given that,

Side of old tent = 10 feet,

And width of floor = 15 feet.

Let width of new tent is x feet.

To find the width of a tent whose side is 16 feet,

Use ratio and proportion property,

10/15 = 16/x

x = (16 × 15)/10

x = 240/10

x = 24 feet

The width of the floor of the new tent is 24 feet.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

Simplify.


18 2+6(4+1) -2

Answers

Answer:

[tex]1)18 \times 2 + 6(4 + 1) - 2 \\ = 36 + 6 \times 5 - 2 \\ = 36 + 30 - 2 \\ 36 + 28 \\ = 64 \\ \\ thank \: you[/tex]

Answer:

18×2+6(4+1)-2

= 36+6×5-2

= 36+30-2

= 66-2

=64

Point G bisects the line segment FH. The length of FG is 16 less than 3 times the length of GH. What is the length of FH?

Answers

Answer: FH = 16

PART I

Concept:

Bisect means to cut or divide something into two equal parts.

In mathematics, usually bisect means cutting a segment or an angle.

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

Given information

FG is 16 less than 3 times the length of GH

Let x be the length of GH

Given expression

FG = GH

Set equation

3x - 16 = x

Add 16 on both sides

3x - 16 + 16 = x + 16

3x = x + 16

Subtract x on both sides

3x - x = x + 16 - x

2x = 16

Divide 2 on both sides

2x / 2 = 16 / 2

x=8

--------------------------------------------------------------------------------------------------------------

PART II

Concept:

In order to find the length of FH, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

FG = GH = x

x = 8

Given expression deducted from the segment addition postulate

FH = FG + GH

Substitute values into the expression

FH = x + x

FH = 8 + 8

[tex]\boxed {FH=16}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The total surface area of a hemisphere is 300cm2. What is the surface area of the sphere having equal radius to the hemisphere. ​

Answers

Answer:

400cm²

Step-by-step explanation:

the surface area of the sphere =

4/3 x The total surface area of a hemisphere

=> 4/3 x 300 = 400cm²

When x apples are shared amongst y children,none are left over.Write down the number of apples each child receives​

Answers

Answer:

[tex]\frac{x}{y}[/tex]

Step-by-step explanation:

Each child receives

number of apples divided by number of children, that is

each child receives [tex]\frac{x}{y}[/tex] apples

please help!!!!!!!!!! 25 points

Answers

Answer: 3.3 × 10⁹

Concept:

When multiplying exponents, add the exponents together.

When dividing exponents, subtract the exponents.

Solve:

Given expression

(3 × 10⁴) × (1.1 × 10⁵)

Put like terms together

=3 × 1.1 × 10⁴ × 10⁵

Combine like terms

=3.3 × 10⁴⁺⁵

=[tex]\boxed{3.3*10^9}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

3.3×10^9

Step-by-step explanation:

13)
According to Wikipedia, the common swift has a maximum horizontal speed of 111.6 km/h
Convert this speed to meters per second.

Answers

Speed in km/h=111.6km/h

[tex]\boxed{\sf 1km/h=\dfrac{5}{18}m/s}[/tex]

[tex]\\ \rm{:}\twoheadrightarrow 111.6km/h[/tex]

[tex]\\ \rm{:}\twoheadrightarrow 111.6\times \dfrac{5}{18}[/tex]

[tex]\\ \rm{:}\twoheadrightarrow \dfrac{558}{18}[/tex]

[tex]\\ \rm{:}\twoheadrightarrow 31m/s[/tex]

Answer:

31 m/s

Step-by-step explanation:

We know that:

1 km  = 1000 m1 h = 3600 s

Convert:

111.6 km/h = 111.6 * 1000/3600 m/s =31 m/s

evaluate each expression and round your answers to the nearest thousandth do not round any intermediate computations​

Answers

Step-by-step explanation:

1. 1.45^(-0.7) = 0.771

2. (4/3)^(2.7) = 2.174

1:-

[tex]\\ \sf\longmapsto 1.45^{-0.7}[/tex]

[tex]\\ \sf\longmapsto 1.45^{-\frac{7}{10}}[/tex]

[tex]\\ \sf\longmapsto 0.771[/tex]

2:-

[tex]\\ \sf\longmapsto \left(\dfrac{4}{3}\right)^{2.7}[/tex]

[tex]\\ \sf\longmapsto \left(\dfrac{4}{3}\right)^{\frac{27}{10}}[/tex]

[tex]\\ \sf\longmapsto 2.174[/tex]

Decide whether the represents a rational number or an irrational number. Explain how you know without simplifying.
The
represents

an irrational number.
a rational number.
This is because the number
is

a rational number
an irrational number
and the number
is

an irrational number.
a rational number.
The of

a rational number and an irrational number
two irrational numbers
two rational numbers
is

an irrational number.
a rational number.

Answers

Rational number I think

help plss!! Directions: Translate into mathematical expressions. Example: The sum of three times a number and 10- (3n + 10)

pleasee do all of these problems now!! and i will mark u branliest if u get at least 4 of em right:)
1. Twelve less than z
2. Twice take the sum of x and y
3. Six less than four times a number
4. Twice the sum of v and 5
6. The average of test scores x and y
7. The cost of m kilograms of meat at $3.95 a kilogram​​

Answers

1. z - 122. 2 (x + y)3. 4x - 64. 2 (v + 5)6. [tex] \frac{x + y}{2} [/tex]

7. m * $3.95

Hope this answer helps you..

Is 8.24 a rational number?

Answers

Answer:

8.24 is not a rational number

Step-by-step explanation:

The simple way to remember or find if the number is rational or not is that

* Rational numbers are always in the form of p/q and q should not be equal to zero

here u can even see 8.24 can be written as 8.24/0 so it is clearly showing that it is not a rational number

factor. x^2 - 11x + 30 delta math

Answers

Answer:

(x-5)(x-6)

Step-by-step explanation:

-6-5=-11

-6 times -5=30

so...

(x-5)(x-6) and -5 and -6 are the factors.

helpppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

1) C. 8x + 2x = 10x2) z = 53) y = 104) x = 1/25) x = 176) C. 1/4x + 4 = 3Step-by-step explanation:

1. C. 8x + 2x = 10x2. 3z - 2 = 133z = 13 + 23z = 15z = 53. -5y - 10 = -60-5y = -60 + 10-5y = -50y = 104. 4x - 5 + 2x = -24x + 2x = -2 + 56x = 3x = 1/25. x - 8/3 = 3x - 8 = 9x = 9 + 8x = 176. C. 1/4x + 4 = 3(1/4 × -4/1) + 4 = 3-1 + 4 = 3

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

write an inequality that represents the graph

Answers

Answer:

x is less than or equal to 4. Not sure how you would type that out on the slide though. :\

Step-by-step explanation:

prove that : Cos 2A =cot^2-1/cot^2+1​

Answers

Step-by-step explanation:

steps are in the picture.

Note:if you need to ask question about it i am ready to give you answer.

If 8.51÷2.3=3.7, find the value of 85.1÷ 2.3​

Answers

Answer:

37

Step-by-step explanation:

85.1÷ 2.3​

=> 85.1/2.3 [Removing the decimals]

=> 851/23

=> 37

Please help me with this problem

Answers

[tex] \sqrt{11} \: lies \: between \: 3 \: and \: 4[/tex]

Answer:

Lies between 3&4

See THE IMAGE FOR SOLUTION

please help I don't know how to do this

Formula: 4s
S = 7 ​

Answers

Answer:

28

Step-by-step explanation:

Given formula:

4s

It is given that the variable, s, is equal to 7. Therefore, plug in 7 for s in the expression:

4s

4(7)

Next, multiply straight across:

4 * 7 = 28

28 is your answer.

~

Answer:

answer is 28

Step-by-step explanation:

it is simple put the value of S in formula and then solve

Shelly charges$10 per hour for her babysitting services. Last month Shelly babysat for 15 hours. This month she babysat for n hours.

a. Write an expression using parentheses to describe how much money she made.

b. Given that n= 12, evualte your expression using distributive property.​

Answers

Answer:

10n+(10 x 15)

or

(10 x n)+150

either way it would be 270

Help HELP HELP HELP HELP

Answers

Hope this helped

The GCF is 18

Answer:

the g.c.f is 44,46,

i not sure but hope it help

number of set values of (p,q), which satisfy relation p^2 = 2q^2 ( where p and q are natural numbers )

options:
(A) 1
(B) 0
(C) 2
(D) 3

Answers

(B) 0

We have

[tex]p^2 = 2q^2 \implies \dfrac{p^2}{q^2} = \left(\dfrac pq\right)^2 = 2[/tex]

but 2 is not a square number.

Im pretty desprate! HELP ASAP!!!

Answers

Step-by-step explanation:

丨x/3+2/5丨=2

x/3+2/5=2
x/3+2/5=-2

x=24/5
x=-36/5



丨2x-4/3丨-7=9

丨2x-4/3丨=16

2x-4/3=16
2x-4/3=-16

x=26/3
x=-22/3



1/2丨3/4x+2/3丨-1=1

丨3/4x+2/3丨-2=2

丨3/4x+2/3丨=4

3/4x+2/3=4
3/4x+2/3=-4

x=40/9
x=-56/9



Hope my answer helped u :)

Solve for y. Simplify your answer as much as possible.
4=64/y

Answers

Answer:

y=16

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Re-order terms so that constants are on the left

Divide both sides of the equation by the same term

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

Answer:

y is 16

Step-by-step explanation:

[tex]4 = \frac{64}{y} [/tex]

but 64 is 4³:

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

make y the subject:

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

from law of indices:

[tex]y = 4 {}^{(3 - 1)} \\ y = {4}^{2} \\ y = 16[/tex]

Class 10 cbse

Q) Four years ago George was four times older than his daughter. After four years, George will be 2 years more than two times the age of his daughter. Find the present age of George and his daughter.

Please answer asap

Answers

Answer:

George Washington 67 and sister 63

Answer: 28

Step-by-step explanation:

Let the present age of George be = x years

and present age of her daughter is = y years

4 years ago,

George age be = x - 4

Daughter age be = y - 4

After four years,

George age be = x +4

Daughter age be = y+ 4

Substitute the value of x in equation 2

Value of y put in equation 1

➡x= 28

So, the present age of George is 28 years and his daughter's age is 4 years.

Find the volume of this cube in cm³​

Answers

Answer:

It is c: 15.625 cm³

Step-by-step explanation:

Formular for cube volumes:

[tex]{ \tt{volume = (side \times side \times side)}} \\ { \tt{v = (s_{1} \times s_{2} \times s_{3}) }}[/tex]

since sides of a cube are identical:

[tex]{ \sf{s_{1} = {s_{2} = {s_{3}}}}}[/tex]

Therefore:

[tex]{ \sf{volume = (250 \times 250 \times 250) \: mm {}^{3} }} \\ { \sf{v =15,625,000 \: {mm}^{3} }}[/tex]

but 1 mm³ = 0.000001 cm³

[tex]{ \sf{v = (15,625,000 \times \{1 \times {10}^{ - 6} \} ) \: cm}} \\ { \sf{v = 15.625 \: {cm}^{3} }}[/tex]

Simplify: 61 –60 ÷ 2 [57 –3{12 ÷ 6 + 4 (8 –15 ÷ 3)}]

Answers

Answer:

I guess answer is 86. ...........

Write a proof. Given x = 2 = 3 (x - 4) Prove x = 5

Answers

Step-by-step explanation:

The equation in the question is false.

[tex]x - 2 = 3(x - 4)[/tex]

[tex]x - 2 = 3x - 12[/tex]

[tex]3x - x = 12 - 2[/tex]

[tex]2x = 10[/tex]

[tex]x = 10 \div 2[/tex]

[tex]x = 5[/tex]

7n + 12 = 3n+ 8n
That’s the problem

Answers

Answer:

n = 3

Step-by-step explanation:

to find the value of n

we need to transpose

7n + 12 = 3n+ 8n

7n + 12 = 11n

12 = 11n -7n

12 = 4n

n = 12/4

n = 3

if ur trying to find the value of n then n=3

solve each linear equation

solve for x

6x - 10 = -8 + 3x​

Answers

[tex]6x - 10 = - 8 + 3x \\ 6x - 3x = - 8 + 10 \\ 3x = 2 \\ \\ x = \frac{2}{3} \\ \\ x = 0.6[/tex]

I hope I helped you^_^

Which multiple of 10 is closest to 18?

Answers

Answer:

I think it is 20

step by step explanation

Multiples of 10:-

10×1=1010×2=2010×3=3010×4=40

18 is closest to 20

Hence our answer is 20

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