Please help
Solve.
(5√5)^−2x+1 = 1/5 ⋅ 125^x−3

Enter your answer in the box. Enter any fraction as a simplified fraction.

Step-by-step explanation: (5√5)−2x+1=

1

5

(125x)−3

0.008x+1=

1

5

(125x)−3

Step 1: Flip the equation.

1

5

(125x)−3=0.008x+1

Step 2: Add 3 to both sides.

1

5

(125x)−3+3=0.008x+1+3

1

5

(125x)=0.008x+4

Step 3: Divide both sides by 1/5.

1

5

(125x)

1

5

=

0.008x+4

1

5

125x=0.04x+20

The  value of x is 46.

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

The number of times a number is multiplied by itself is defined by the exponent. The power is an expression that displays the same number or factor being multiplied repeatedly.

Given:

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]

ow, using exponents and powers

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 5 ^{3(x-3)\\[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x - 9 - 1}[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x -10}[/tex]

[tex]5^{3/2(-2x+ 1)}= 5^{3x - 10}[/tex]

[tex]5^{-x+ 3/2}= 5^{3x -10}[/tex]

Now, Comparing

-x+ 3/2 = 3x- 10

-x - 3x = -10 - 3/2

-4x = -23/2

x= 46

Hence, the value of x is 46.

Learn more about Exponents and powers here:

https://brainly.com/question/15722035

#SPJ2

Jessica has 23,450 stickers in her sticker collection. Her sister has 20,993 stickers in her collection. Who has the most stickers?

HELP i need what is 4 divided by 120000 telll me plz in tried the calculator but my parents blocked the calculator on me so plz help me

Quadrilateral ABCD has the following angle measures. Find the Measure of angle A.
B: 59°
C: 103°
D: 100°

Directions: Write the
numerical expression
into word form. I it is in
word form, write it as a
numerical expression.
(8x2)-(3+5)

A random sample of 500 registered voters from one state was obtained. The party affiliation and sex of each voter was recorded and is listed in the following table. (Follow standard statistical rounding rules for all computations.)

a) A journalist who writes for a statewide newspaper wants to construct a confidence interval for the true proportion of registered voters that are affiliated with Party X. Verify that all requirements for constructing such a confidence interval are met.


b) Construct a 99% confidence interval for the true proportion of registered voters that are affiliated with Party X. Show all work. (Hint: the critical value, the margin of error, p, q, the computation, etc.)


c) The Governor of the state believes that a majority of all registered voters in the state are affiliated with Party X because the confidence interval includes values greater than 50% Does the data in the table support the Governor’s belief? Justify your answer.

A 95% confidence interval for the true proportion of teenagers who have been to a professional sporting event is
(0.289, 0.416). Is it reasonable to believe that more than 25% of teenagers have been to a professional sporting
event?
O Yes, because 0.3525 is in the interval.
O Yes, because the entire interval is greater than 0.25.
O No, because there are values in the interval greater than 0.3525.
O No, because the center of the interval is 0.3525, which is not statistically greater than 0.25.

Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95 miles per hour. The eastbound train travels at 85 miles per hour. How long will it take for the two trains to be 468 miles apart?

Bentley is deciding between two truck rental companies. Company A charges an initial fee of $50 for the rental plus $2 per mile driven. Company B charges an initial fee of $10 for the rental plus $3 per mile driven. Let A represent the amount Company A would charge if Bentley drives x miles, and let B represent the amount Company B would charge if Bentley drives x miles. Graph each function and determine the interval of miles driven, x for which Company A is cheaper than Company B.
give me to point for example (4.6) and (5,7 ) my graph is y-axis is 200 and x-axis is 100
Company A is cheaper than Company B when x < or> ______
miles
dollars
dollars per mile
mile per dollar

the probability that a tin of paint is dented is 0.07 out of 3000 tins of paint,how many would you expect to be dented?

White 3 6 9 12 15
Yellow 5 10 15 20 25

Which equation relates the number of yellow flowers, y, to the number of white flowers, w.

y=w+2
y= w-2
y = 2w
y= w/2

NEED HELP PLS
Marques was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 32%. What number should he multiply the cost of the meal by to find the total plus tip in one step?​

Happy Thanksgiving!!!!

Have a wonderful day​

Identify the set of perpendicular lines in this image.

A) AB, CD

B) CD, EF

C) AB, EF

D) AB, FE

Measure E is equal to?

For a weekly car rental, a car rental company charges customers a flat fee of $100 plus
10 cents for every mile traveled.
15 Write an equation for the amount, A dollars, of a weekly rental for a car that travels
m miles

Estimate the quotient for 608 divided by 23

1. What is the slope of this graph?
2. What is the y-intercept for the graph?

BETWEEN WHAT TWO INTEGERS IS THE FIRST ZERO?

1/4% of what is 7? what is the answer please


​

A company charges $60 per day plus $0.50 per mile for truck rentals. If Greg rents a truck for 3 days and drives 150 miles, how much will the company charge?

Three-fourths of the difference of a number and 7 is negative fifteen. What is the number? (Please solve very clear and step by step and I'll give u brainlest) ​

Point-Slope Form of a Line

Sara has only nickels in her hand, and David has exactly the same
number of dimes and no other coins. Together, they have a total of $1.05. How many nickels does Sara have? How many dimes does David have? Show your work
using numbers, labeled sketches, or words.

Victor rode his
skateboard 18 miles. If one kilometer
is approximately equal to 0.6 miles,
how many kilometers did Victor skateboard last week?

Triangle XYZ is similar to ABC.

Enter the missing side length.

as an estimation we are told 5 miles is 8km convert 40 miles to km

There are 18x10/1 players in league

part A: The league raised $1,560 through fundraisers. Trenton estimates the cost of buying jackets for each players in the league. He concludes that the league has raised enough money. Do you agree with Trenton? Explain.



part B: how much would it cost to order sweatpants for each player? write and solve an equation with a variable to show your work.


1: Which cost more: 136 sweatpants or 103 sweatshirts? How much more?



Parts A: Coach sandberg wants to order 115 jackets and 27 caps for $12 each.

Estimate the total cost for his order. Show your work


what is his total cost? compare your answer to your estimate

A circle has a radius of 20 cm . Use 3.14 for pie and round your final answers to the nearest tenth . If applicable, include a thousands comma

Match the dimensions of each rectangle with its corresponding area.
3 feet by 8 feet
90 square feet
5 feet by 7 feet
24 square feet
9 feet by 10 feet
64 square feet
13 feet by 2 feet
26 square feet
8 feet by 8 feet
35 square feet

what is the length of DE