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.
Answers
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.
What are Exponents and power?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
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Related Questions
as an estimation we are told 5 miles is 8km convert 40 miles to km
Answers
Answer:
62
Step-by-step explanation:
Just do 5/8 = 40/x, and cross-multiply to get:
320 = 5x,
And x will be equal to 62
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.
Answers
Using the given confidence interval, it is found that the correct option is:
Yes, because the entire interval is greater than 0.25.The 95% confidence interval is (0.289, 0.416).
Since the lower bound of the interval, which is of 0.289, is greater than 0.25, the belief is reasonable.Using the above justification, the correct option is:
Yes, because the entire interval is greater than 0.25.A similar problem is given at https://brainly.com/question/17097944
BETWEEN WHAT TWO INTEGERS IS THE FIRST ZERO?
Answers
Answer:
0 and 1
Step-by-step explanation:
The scale of the graph is not marked, so we assume each grid line represents 1 unit. The leftmost crossing of the x-axis is between 0 and 1.
_____
Additional comment
The other real zero is between 2 and 3. If this is a polynomial function, it will have additional complex zeros.
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.
Answers
David: Dimes: 7 dimes
1/4% of what is 7? what is the answer please
Answers
Answer:
7/4
Step-by-step explanation:
Answer:
1/4% of 1 3/4 = 7 or you could say 1/4% of 1.75 = 7
Point-Slope Form of a Line
Answers
Identify the set of perpendicular lines in this image.
A) AB, CD
B) CD, EF
C) AB, EF
D) AB, FE
Answers
Answer:
AB, CD
Step-by-step explanation:
there is ⊥ 90° angle sign between them AB and CD.
They are perpendicular
Triangle XYZ is similar to ABC.
Enter the missing side length.
Answers
Measure E is equal to?
Answers
Answer:
E =114
Step-by-step explanation:
The two base angles are equal to 33 since it is an isoscles triangle. We know that because the two sides are equal. That means D and F are equal to 33. The sum of the angles of a triangle are 180.
D+E+F = 180
33+E +33=180
66+E = 180
E = 180-66
E =114
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?
Answers
Answer:
210
Step-by-step explanation:
3000×0.07
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?
Answers
Step-by-step explanation:
x = traveled hours
when multiplying miles/hour by hours, this gives
hours × miles / hours
so, the dimension hours is eliminated on top and bottom of that fraction (or ratio) leaving only miles.
therefore,
468 = 95x + 85x = 180x
x = 468/180 = 2.6 hours or 2 6/10 hours = 2 hours and 6×6 minutes = 2 hours and 36 minutes
remember,
1 hour = 60 minutes
1/10 hour = 60/10 = 6 minutes
Answer:
Step-by-step explanation:
2.6 h
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?
Answers
Answer:
1.32
Step-by-step explanation:
1.32
For this problem, percentage can be looked at as a fraction out of 100:
The total = 100/100 or 100% and the tip of 32% is 32/100. 32/100 + 100/100 = 132/100 which equals 1.32
(This type of reasoning can be applied to pretty much all percentages, as they are basically just fractions/decimals)
Quadrilateral ABCD has the following angle measures. Find the Measure of angle A.
B: 59°
C: 103°
D: 100°
Answers
Answer:
∠A = 98
Step-by-step explanation:
total sum of angles in a quadrilateral is 360
∠A + ∠B + ∠C +∠D = 360
∠A + 59 + 103 + 100 = 360
∠A + 262 = 360
∠A = 360- 262
∠A = 98
Directions: Write the
numerical expression
into word form. I it is in
word form, write it as a
numerical expression.
(8x2)-(3+5)
Answers
Answer:
Numerical: (8x2)-(3+5) = 8
Word form: Eight-times-two minus three-plus-five
(8 x 2) - (3 + 5)
16 - 8 = 8
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
Answers
Answer:
y=2w im not shure tell me if this is wong
1. What is the slope of this graph?
2. What is the y-intercept for the graph?
Answers
Answer:
ndjsjz
Step-by-step explanation:
ujz d d f f f g f tt r r r r r r r r r r0
8nnnnjjj
Estimate the quotient for 608 divided by 23
Answers
Answer:
18
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
When estimating we round to the nearest 1.s.f
Thus...
608 rounded to the nearest 1sf
= 600
and....
23 rounded to the nearest 1sf
=20
Therefore- 600÷ 20 = 30
Hope this helped you- have a good day bro cya)
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
Answers
Answer
If you are trying to find the area the answer would be 1,256cm
Step-by-step explanation:
1. A≈π r^2
2. A≈(3.14) (20)^2
3. A≈(3.14) (400)
4. A≈ 1,256^2
what is the length of DE
Answers
Answer:
Step-by-step explanation:1
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)
Answers
Answer:
- 13Step-by-step explanation:
Three-fourths of the difference of a number and 7 is negative fifteen:
3/4*(x - 7) = - 15x - 7 = - 15*4/3x - 7 = - 20x = 7 - 20x = - 13Match 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
Answers
Answer:
3x8= 24sf
5x7= 35sf
9x10= 90sf
13x2= 26sf
8x8= 64sf
Step-by-step explanation:
Jessica has 23,450 stickers in her sticker collection. Her sister has 20,993 stickers in her collection. Who has the most stickers?
Answers
Answer:
Jessica (23,450 stickers)
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
Answers
Answer: a little too late but in case anybody else needs it!
Step-by-step explanation:
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
Answers
The way you typed out this sentence was a bit confusing but I think you were saying...
For a weekly car rental, a car rental company charges customers a flat fee of $100 + and charges 10 cents for every mile traveled. write an equation for the amount of a weekly rental car that travels 15 miles (Please let me know if I am wrong)
The equation would be
10+10 +10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10 = 150 cents
so they would be charging $1.50
Hoped this helped!
Have a great day/night! :)
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
Answers
Answer:
Company A is cheaper than Company B when x > 40 miles
Step-by-step explanation:
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?
Answers
Answer:
$255
Step-by-step explanation:
Equation would be
60x+0.5y= $ charged
x= days
y = per mile
60 * 3 + 0.5 * 150 = $
180+75=
=255
Greg would have to pay $255
Hope this helps!
(Pls mark brainiest)
Thanks!
Happy Thanksgiving!!!!
Have a wonderful day
Answers
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.
Answers
Using the z-distribution, it is found that:
a) There are more than 10 successes and 10 failures in the sample, hence the conditions are met.
b) The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).
c) Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.
Item a:
The requirement is that there are at least 10 successes and 10 failures in the sample.
244 out of 500 voters are affiliated with party X, hence 500 - 244 = 256 are not, meaning that there are more than 10 successes and 10 failures in the sample, hence the conditions are met.
Item b:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
244 out of 500 voters are affiliated with party X, hence:
[tex]n = 500, \pi = \frac{244}{500} = 0.488[/tex]
99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.43[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.546[/tex]
The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).
Item c:
Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.
A similar problem is given at https://brainly.com/question/16807970
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
Answers
Victor rode his
skateboard 18 miles. If one kilometer
is approximately equal to 0.6 miles,
how many kilometers did Victor skateboard last week?
Answers
Answer:
30 kilometers
Step-by-step explanation:
18 divided by 0.6 is 30