The voltage in an electrical circuit is multiplied by itself each time it is reduced. The voltage is 27/125 of a volt and it has been reduced three times. Write the voltage in exponential form, what was the original voltage in the circuit?
Answers
I belive this is the answer
x³ = 27/125; and
x = 3/5.
explanation:
Reducing the voltage 3 times would result in multiplying the unknown voltage, x, by itself 3 times; this gives us
x³.
The current voltage is 27/125; this gives us the equation
x³ = 27/125.
To solve this, take the cubed root of both sides:
∛(x³) = ∛(27/125)
x = (∛27)/(∛125)
x = (∛(3*3*3))/(∛(5*5*5))
x = 3/5
Related Questions
Help pls!! it's urgent.
Answers
Answer:
Step-by-step explanation:
find expressions equivalent to -8(3x-2)
Answers
Answer:24 x + 16
Explanation:
We use the distributive rule to handle this situation, which says:
a (b + c) = a b + a c and so we have 8(3x+2)= 24x + 16
-8*3x+(-8)*-2
-24x+16
This is the answer
Given the figure below, find the values of x and z
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X= 35
Given the 2 numbers u have to divide each variable by the opposition number
Hope it helps
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answers
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:
18 = 2πr
Solving for r, we get:
r = 9/π ≈ 2.864 feet
Now we can use the formula for the area of a circle:
A = πr^2
Substituting the value we found for r, we get:
A = π(2.864 ft)^2 ≈ 25.85 ft^2
Therefore, the approximate area inside the circular park is approximately 25.85 square feet.
Please use the box and circle method:
4g+8=68
Answers
Answer:
4(15)+8=68
Step-by-step explanation:
4(15) is 60 plus 8 is 68
4g+8=68
-8 -8
4g=60
4/4 and 60/4
60/4= 15
Name the polygon show by the banner at the right. Determine if it appears to be regular or not regular.
Answers
Answer:
the name is isosceles triangle and it is not regular
Step-by-step explanation:
Answer:
it's a isosceles triangle and its not regular
Step-by-step explanation:
I need help pls its due in 40 minutes
Answers
Answer:
I am attaching photo hold on
Which expression is equivalent to -1/3 ( 6x + 15 ) - 3?
a) -2x + 12
b) -2x + 2
c) -2x - 2
d) -2x - 8
Answers
The correct answer is (D) -2x - 8.
To simplify the expression -1/3 ( 6x + 15 ) - 3, we can first apply the distributive property to the term in parentheses:
-1/3 ( 6x + 15 ) - 3 = -1/3 * 6x - 1/3 * 15 - 3
Then we can simplify using the properties of multiplication and division:
-1/3 * 6x - 1/3 * 15 - 3 = -2x - 5 - 3
Finally, we can combine like terms:
-2x - 5 - 3 = -2x - 8
The correct answer is therefore (D) -2x - 8.✅
A fast-growing vine is introduced into a small national park. The vine competes with the native plants in the park. Soon, the number of native
plants decreases. The animals which use the native plants for food also decrease in number.
Which solution would most quickly protect the native plants in the park?
A. Remove the vine from the park.
B. Allow the vine and native plants to compete naturally
C.Use genetic engineering to create an insect that will eat the vine.
D. Introduce various animals into the park to find one that will destroy the vine.
Answers
Remove the vine, it is causing the population to decrease. No amount of animals etc. will be able to take care of the vine if the population is already decreasing.
1. Remove the vine.
A right pyramid has a square base that measures 10 cm on each side. Its peak is 12 cm above the center of its base. What is the sum of the lengths of the pyramid's eight edges? Express your answer to the nearest whole number.
Answers
Answer:
I think it's 52 cm but I'm not 100% sure
Step-by-step explanation:
Which of the equations shown have no solution?
1) 3x - 1 = 3x + 1
2) 2x - 1 = 1 - 2x
3) 3x - 2 = 2x - 3
4) 3(x-1) = 3x - 2
5) 2x + 2 = 2(x + 1)
6) 3(2x-1) = 2(3x - 1)
Answers
Answer:
1. no solution
2. x = 1/2
3. x=-1
4. no solution
5. many solutions
6. no solution
Step-by-step explanation:
I recommend downloading photo math
Please help me, I'm confused.
Answers
please help me i will give brainliest to first person to anwser.
Answers
First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
What point located in quadrant II has an x-value that is 5 units from the origin and a y-value that is 4 units from the origin?
A.
H
B.
N
C.
U
D.
G
Answers
Please factorise the following expression with detailed steps-
2x(7+y)−14x(y+2)
Answers
Answer:
-2x ( 7 + 6y )
Step-by-step explanation:
2x ( 7 + y ) - 14x ( y + 2 )
Distribute;
14x + 2xy - 14xy - 28x
Regroup;
( 14x - 28x ) + ( 2xy - 14xy )
Simplify;
-14x - 12xy
Factor;
-2x ( 7 + 6y )
Answer:
-2x ( 7 + 6y )
Step-by-step explanation:
Which set of points could represent one of the side lengths of a square that is congruent to the one shown on the coordinate plane
A (3, 0) and (−3, 0)
B (−4, −4) and (−4, −8)
C (−3, −2) and (−6, −2)
D (−2, 6) and (2, 6)
Answers
Hi, I would love to help but Im not able to because I don't see the graph. Because its asking "shown on the coordinate plane" and we don't see it. so if you could provide a picture or points I could help you!!
Multiplication Rule: Rewrite the product as a single power.
84 · 85 =
Answers
Look at the word “permission.” a) What is the ratio of consonants to vowels? b) What fraction of the letters are consonants? c) What percent of the letters are vowels. please do all steps giving brain list
Answers
Answer:
6:4 or 3:2
6/10 are consonants
40%
Step-by-step explanation:
A) count the numbers of consonants and vowels. There are 6 consonants and 4 vowels so the ration is 6:4. If you're simplifying, you divide both sides by 2 to get 3:2
B) Count the total letters. There are 6 consonants and 10 total letters so the fraction is 6/10 because 6 put of 10 are consonants.
C) 4. x
- = 10x = 4(100)
10. 100. 10x = 400
- -
10. 10
x= 40
You divide 10 by 10 to get x alone and then divide 400 by ten.
Remi graphed the equivalent ratios in the table. One on the ordered pairs is (1,2). Whichother orders pairs did he graph? Select all that apply
Answers
Answer:
b and d
Step-by-step explanation:
Please help me!!!!!!
Answers
Answer:
this is the answer :621cm²
Step-by-step explanation:
23×27=621cm²
Answer:
Step-by-step explanation:
Area of the parallelogram = Area of rectangle
bh = lb
We can make a rectangle from a parallelogram.
So, Area of parallelogram = bh
27*23
= 621 sq. cm
Hope it helped. Pls mark me the BRAINLIEST!
Mrs. Figueroa made a spaghetti dinner for the cheerleaders after practice. She purchased 42 pounds of beef for $3.99 per pound. How much money did she spend
on the beef for the spaghetti?
$7.25
$8.87
$9.98
$18.95
Answers
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
A store regularly sells a Nintendo Switch Lite for $200. They are currently on sale for 30% off and in your state the sales tax is 8%. What would be the final cost for the consumer (including tax) if they buy the Nintendo Switch Lite?
Answers
Answer:
$151.20
Step-by-step explanation:
The sale price of the Nintendo Switch Lite is 30% off its regular price of $200, which means the discount is:
Discount = 30% x $200 = $60
The sale price of the Nintendo Switch Lite after the discount is:
Sale price = $200 - $60 = $140
The sales tax in the state is 8%, so the tax amount on the sale price is:
Tax amount = 8% x $140 = $11.20
Therefore, the final cost for the consumer, including tax, would be:
Final cost = Sale price + Tax amount = $140 + $11.20 = $151.20
Hence, the final cost for the consumer, including tax, would be $151.20 if they buy the Nintendo Switch Lite.
200 x 30% is 60 then i guess you subtract 60 from 200 which is 140 then im pretty sure you multiply the sales tax aka 8% to 140 which would be 8% x 140 = 11.2 then you add 11.2 to 140 and i think that gives you 151.2
Help please Thank you
Answers
You’re welcome
4m+16m+8=108
20m=100
M=5
Consider the situations in the table below
Situation A: A hang glider descended 33.57 feet, and then ascended 14.98 feet.
Situation B: A football team gained 7 2/5 yards in one play, and then lost 3/5 of a yard in the next play.
Situation C: A hiker walked 3 1/6 miles yesterday and 2 1/2 miles today.
Situation D: A worker earned $23.66 Monday and spent $15.84 Tuesday.
Calculate the sum of each situation. Order the situations from least to greatest based on the numeric value of the sums.
Answers
Answer:
Step-by-step explanation:Situation A: The hang glider descended 33.57 feet and again ascended 14.98. So 33.57 - 14.98 = 18.58. So now the hang glider is at 18.58 feet
Situation B: Initially they gained 7 2/5 yards and then lost 3/5 yards.
7 2/5 yards can be written as 37/5. As they lost 3/5 yards, 37/5 - 3/5 = 34/5. So the remaining yards are 34/5 yards.
Situation C: Hiker walked 3 1/6 miles and then 2 1/2 miles. So the total distance is 3 1/6 + 2 1/2 = 5 4/6 miles.
Situation D: Total amount earned is $23.66 + $15.84 = $39.5.
Answer:
Step-by-step explanation:Situation A: The hang glider descended 33.57 feet and again ascended 14.98. So 33.57 - 14.98 = 18.58. So now the hang glider is at 18.58 feet
Situation B: Initially they gained 7 2/5 yards and then lost 3/5 yards.
7 2/5 yards can be written as 37/5. As they lost 3/5 yards, 37/5 - 3/5 = 34/5. So the remaining yards are 34/5 yards.
Situation C: Hiker walked 3 1/6 miles and then 2 1/2 miles. So the total distance is 3 1/6 + 2 1/2 = 5 4/6 miles.
Situation D: Total amount earned is $23.66 + $15.84 = $39.5.
Step-by-step explanation:
Hello! I just have a simple math equation lol
Please put yout answer in a mixed number =)
Answers
-13/2 x 47/6
13x 47=611
2x6=12
-611/12
Answer:-50 11/12
what is the inverse of the fuction g(x) = x3/8 + 16?
Answers
Answer:
\(g^{-1}(x) = \frac{8x}{3} - \frac{128}{3}\)
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.
Percentages! Just complete the sentance
Answers
Answer:
38%
Step-by-step explanation:
1. This shelter, providing food to the needy is an example of:
a) redistribution of resources
b) the free market economy
C) third party consequences
d) all of the above
Answers
Answer:
A
Step-by-step explanation:
It is redistributing food.
Answer the question below:
Answers
Based on the information, it can be inferred that the difference in the circumference of the two circles is 6.31 cm.
How to calculate the circumference of a circle?To calculate the circumference of a circle we must apply the following formula:
2\(\pi\)RR = Radius of the circle.According to the previous formula, we must replace R with the radius of each of the radii of both circles as shown below:
2\(\pi\)1 = 6.282\(\pi\)2 = 12.59So, to find the difference of the circumferences of both circles we must subtract the smaller number (circumference of the small circle) from the larger number (circumference of the large circle).
12.59 - 6.28 = 6.31According to the above, the difference of the circumferences would be 6.31 cm.
How to calculate the area of the circle?To calculate the area of the circle we must apply the following formula.
A =\(\pi r^{2}\)
r = radio del círculo.
According to the above, the radiO of both circles would be:
\(\pi 1^{2}\) = 3.14\(\pi 2^{2}\) = 25.13Additionally, to find the difference we must subtract these values:
25.13 - 3.14 = 21.99Learn more about circles in: https://brainly.com/question/29142813
#SPJ1
Based on the information, it can be inferred that the difference in the circumference of the two circles is 6.31 cm.
How to calculate the circumference of a circle?
To calculate the circumference of a circle we must apply the following formula:
2R
R = Radius of the circle.
According to the previous formula, we must replace R with the radius of each of the radii of both circles as shown below:
21 = 6.28
22 = 12.59
So, to find the difference between the circumferences of both circles we must subtract the smaller number (circumference of the small circle) from the larger number (circumference of the large circle).
12.59 - 6.28 = 6.31
According to the above, the difference in the circumferences would be 6.31 cm.
How to calculate the area of the circle?
To calculate the area of the circle we must apply the following formula.
A =
r = radio del círculo.
According to the above, the radiO of both circles would be:
= 3.14
= 25.13
Additionally, to find the difference we must subtract these values:
25.13 - 3.14 = 21.99