Eight identical lights are connected in series across a 110-V line. What is the voltage across each bulb? If the current is 0.56A , what is the resistance of each bulb? If the current is 0.56A , what is the power dissipated in each?

Answer: 1

\((\frac{x^{a+b} }{x^{c} }) ^{a-b}.(\frac{x^{b+c} }{x^{a} }) ^{b-c} .(\frac{x^{c+a} }{x^{b} })^{c-a}\\\\= \frac{x^{(a+b)(a-b)} }{x^{c(a-b)} }.\frac{x^{(b+c)(b-c)} }{x^{a(b-c)} }.\frac{x^{(c+a)(c-a)} }{x^{b(c-a)} }\\\\=\frac{x^{a^{2}-b^{2} } }{x^{ac-bc} }.\frac{x^{b^{2}-c^{2} } }{x^{ab-ac} }.\frac{x^{c^{2}-a^{2} } }{x^{bc-ab} } \\\\=\frac{x^{a^{2}-b^{2}+b^{2}-c^{2}+c^{2}-a^{2} } }{x^{ac-bc+ab-ac+bc-ab} }\\\\=\frac{x^{0} }{x^{0} }=1\)

Step-by-step explanation:

Answer:

3 by 2

Step-by-step explanation:

3+2+3+2=10

3*2=6

Hope this Helps!!!

Answer:

ACD and BCE

Step-by-step explanation:

To paint the ceiling of a room that is 138 inches by 117 inches, you would need to purchase 3 pints of paint.

To find out how many pints of paint are needed to paint the room's ceiling, we must first convert its dimensions from inches to feet:138 inches is equivalent to 11.5 feet (138 ÷ 12 = 11.5)117 inches is equivalent to 9.75 feet (117 ÷ 12 = 9.75)To determine the total square footage of the room, multiply the room's length and width:11.5 feet × 9.75 feet = 112.125 square feet

To calculate the amount of paint needed, divide the total square footage by the number of square feet that one pint of paint will cover:112.125 square feet ÷ 50 square feet per pint = 2.24 pints

Therefore, you would need to purchase approximately 2.24 pints of paint to paint the ceiling of a room that is 138 inches by 117 inches. However, since paint is often sold in whole pints, you would need to purchase 3 pints of paint.

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Answer:

46???

Step-by-step explanation:

apples: 10

bananas: 6

oranges: 6

soo im guessing 10 + 6 x 6 = 46?????

Answer:

solution:

5(4+2x)=-(x-5)-7

20+10x=-x+5-7

10x+x=-2-20

x=-22/11=-2

x=-2

so.D.-2 is your answer.

In 15 years, Lori will be five years less than three times Jamie's age.

Let's assume x represents the number of years. After x years, Lori will be 25 + x years old, and Jamie will be x years old (since Jamie was born when Lori was 25). According to the given information, Lori will be five years less than three times Jamie's age. This can be expressed as:

25 + x = 3x - 5

Simplifying the equation, we have:

2x = 30

Dividing both sides by 2, we get:

x = 15

Therefore, in 15 years, Lori will be five years less than three times Jamie's age.

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The vendor sold 172 sodas and 58 hotdogs at the hockey game.

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

let, the number of soda cans be 'x' and the number of hot dogs be 'y'.

So, From the given information x = 3y and the vendor sold a total of 232.

Therefore, x + y = 232.

3y + y = 232.

4y = 232.

y = 232/4.

y = 58.

So, He sold 58 hot dogs and 3×58 = 172 soda cans.

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false :) thats ur answer

some problem , pls refer the attachment for your answer

Hope it helps ~

a. the probability that the next call arrives within 3 minutes is approximately 0.528.

To determine the probability that the next call arrives within 3 minutes (0.05 hours), we need to convert the rate of 15 calls per hour to the average rate per minute.

Rate per minute = Rate per hour / 60 = 15 / 60 = 0.25 calls per minute

Now we can calculate the probability using the exponential distribution formula:

Probability of next call within 3 minutes = 1 - e^(-λt)

Where λ is the rate (0.25 calls per minute) and t is the time (3 minutes).

Probability of next call within 3 minutes = 1 - e^(-0.25 * 3) = 1 - e^(-0.75) ≈ 0.528

b. The average time between arrivals can be calculated by taking the reciprocal of the arrival rate.

Average time between arrivals = 1 / Arrival rate

Average time between arrivals = 1 / 15 = 0.0667 hours

Therefore, the average time between arrivals is approximately 0.0667 hours.

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The requried, we can expect approximately 35 of the 37 practice trials to have finishing times between 67 and 69 seconds,

Normal distributions can be altered to standard normal distributions by the formula:

Z = (X - μ)/σ

Here,
Let X be the finishing time of Anna in a single trial. We know that X follows a normal distribution with mean μ = 68 seconds and standard deviation σ = 0.5 seconds. Therefore, we can standardize X as follows:

Z = (X - μ) / σ = (X - 68) / 0.5

Now we need to find the probability that Z falls between 67 and 69
So,

z =  (67 - 68) / 0.5 = -2 and z = (69 - 68) / 0.5 = 2.

This can be done using a standard normal distribution table or calculator. Using a calculator, we can find:

P(-2 < Z < 2) ≈ 0.9545

Let Y be the number of trials out of 37 that fall within the range of 67 to 69 seconds. Then, Y follows a binomial distribution with n = 37 trials and p = 0.9545 probability of success in a single trial.

The expected value of Y is given by,

E(Y) = np = 37 × 0.9545 ≈ 35.3

Therefore, we can expect approximately 35 of the 37 practice trials to have finishing times between 67 and 69 seconds.

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To find the derivatives of the given expressions, we can apply the chain rule, which states that the derivative of a composition of functions is equal to the derivative of the outer function multiplied by the derivative of the inner function.

(a) To find the derivative of f(g(x)), we start by differentiating the outer function f with respect to the inner function g(x), and then multiply it by the derivative of the inner function g(x) with respect to x.

df/dx = df/dg * dg/dx

df/dx = cos(g(x)) * (2x)

(b) To find the derivative of g(f(x)), we differentiate the outer function g with respect to the inner function f(x), and then multiply it by the derivative of the inner function f(x) with respect to x.

dg/dx = dg/df * df/dx

dg/dx = 2f(x) * cos(x)

Hence, the derivatives are:

(a) d/dx(f(g(x))) = cos(g(x)) * (2x)

(b) d/dx(g(f(x))) = 2f(x) * cos(x)

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Step-by-step explanation:

it is a bit unclear to me how the cups are stacked on each other.

are we building a pyramid or is it really just one line of cups stacked into each other ? the equation suggests the latter. so, I will continue with that assumption.

then each additional cup really adds only the height of the rim to the total height of the cup tower.

so, we want to find out for what smallest x is the equation delivering as y value 32,400 or more.

32,400 = 2.4x + 13.6

let's get rid of the decimals by multiplying everything by 10.

324,000 = 24x + 136

323,864 = 24x

x = 323,864/24 = 13,494.33333...

so, we need 13,495 cups to reach its height (just rounding it to 13,494 would still leave a tiny gap, so we need the 13,495th cup - there is no way to reach the height exactly).

Danika walks 50 blocks in one week.

Multiplication is a mathematical operation that embodies the fundamental concept of repeated addition of the same integer. The multiplied numbers are known as the factors, and the outcome of the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to make repetitive adding of the same number easier. It is used for combining groups of identical size.

As per the data given,

We have,

Danika lives at 5 blocks from her school.

As Danika walks 5 blocks to and from school, making her round trip

So, total distance covered by Danika will be: 5 blocks + 5 blocks = 10 blocks.

As Danika walks to and from school 5 days a week,

Hence, she walks 10 blocks * 5 days = 50 blocks in one week.

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Answer:

A. 9

Step-by-step explanation:

A P E X

Answer:

Edge 2021

Step-by-step explanation:

2nd one is C, 3x^4

If we have an angle equal to 175.5°, then its supplementary angle is equal to 4.5°.

To solve this problem we must know that an angle and its supplementary add up to 180º, that is, the following equality must be satisfied:

β + α = 180º

The measure of a supplementary angle is the difference between 180° and the given angle. In this case, the given angle is 175.5°. To find the measure of the supplementary angle, we will subtract 175.5° from 180°.
α = 180° - 175.5° = 4.5°

Therefore, the measure of the supplementary angle is 4.5°.

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Answer:

y = -2x + 9

Step-by-step explanation:

y = -2x + 7

(4, 1)

1 = -2 ( 4 ) + b

1 = -8 + b

b = 9

y = -2x + 9

Equation of the line passes through (4,1) and is parallel to y=-2x+7 is y=-2x+9.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find equation of the line passes through (4,1) and is parallel to y=-2x+7.

In parallel lines the slope will be same

m=-2

Now to find y intercept of line passing through (4,1)

1=-2(4)+b

1=-8+b

9=b

Hence, equation of the line passes through (4,1) and is parallel to y=-2x+7 is y=-2x+9.

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Answer:

Option C. r = (27 – P)/3P

Step-by-step explanation:

The following data were obtained from the question:

A = 27

t = 3

r =?

А = P(1 + rt)

With the above formula, we can obtain the value of r as follow

А = P(1 + rt)

27 = P(1 + 3r)

Divide both side by P

27/P = 1 + 3r

Subtract 1 from both side

27/P – 1 = 1 – 1 + 3r

27/P – 1 = 3r

(27 – P)/P = 3r

Divide both side by 3

r = (27 – P)/P ÷ 3

r = (27 – P)/P × 1/3

r = (27 – P)/3P

Answer:

1

Step-by-step explanation: when you have a negitive exponent you just have to take the desimal spot back as many times as the number like if you were doing 1009 to  the power of -2 it would be 10.09 because i took the desimal back two spots

Answer:

Step-by-step explanation:

A. The data appears to be reported. The heights occur with roughly the same frequency.

A histogram is a graphical representation of a frequency distribution, where the x-axis represents the values of the data, and the y-axis represents the frequency of those values. If the heights are reported, the last digit of the heights should be randomly distributed and the frequency of each digit should be roughly the same, which is the case in a histogram with uniform distribution. This is in contrast to a histogram with non-uniform distribution, where certain heights occur a disproportionate number of times, which is more likely to happen when the heights are measured. Therefore, based on the information provided, it can be concluded that the data appears to be reported.

Answer:

sure

Step-by-step explanation:

1) line up 641 and 63

   641

x__63_

2) multiply 3 by 1 then 4 then 6 and carry the tenths place number if there is one

  1

  641

x__63_

  1923

3) add a zero under the 3 to hold the ones place and multiply 6 by 1 then 4 then 6 and since we’re working with the tenths place now and dont forget to carry numbers if you need to

     2

     641

  x__63_

     1923

  38460

4) add your two numbers together

    1 1    

    38460

+___1923_

     40383

so that is your answer “40383”

lol sorry that this was so long

Answer:

The answer is 40,383

Step-by-step explanation:

First, you set up the multiplication. 641 is the largest number so it goes on top.   63 is the smallest number so it goes on the bottom. Draw your line. Next, you multiply 3 by 1 which is 3. Then you multiply 3 by 4 and you get 12. Since this is a two digit number, the 2 goes below the line and the 1 you place on top of the 6. Next, you multiply 3 by 6 and get 18, but don't forget the 1 you placed on top! So you get 19. Then you cross out the 1 on top of the 6 and cross out the 3. After you cross out the numbers you add a 0 under the 3 with the number that is under the line. Then you start multiplying 6x1 which is 6. 6x4 which is 24, place the 4 under the line and bring the 2 on top of the 6. Then multiply 6x6 which is 36, add the 2 you brought on top which is 38. After you did all that work, add all the numbers and your answer is 40,383! Hope this made sense and hope it helps! :3

\(y^{-8} y^3 x^0 x^{-2}\) is equivalent to \(y ^{-5} x ^{-2}\\\).

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

Given;

\(y^{-8} y^3 x^0 x^{-2}\)

Simplify

\(y^{-8} y^3 x^0 x^{-2}\\\\y ^{-8+3} x ^{0-2}\\ \\y ^{-5} x ^{-2}\\\)

Hence, \(y^{-8} y^3 x^0 x^{-2}\) is equivalent to \(y ^{-5} x ^{-2}\\\).

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Answer:

1/6

Step-by-step explanation: Im going to guess the dice has 6 sides, rolling any number on that 1 dice would be a 1/6 chance. I hope this helps!