Identify the functional relationship between the variables. * 1 point
A. Energy use is a function of time.
B. Time is a function of energy use.

To find the derivative of y, we need to use the power rule and the summation rule for derivatives. The power rule states that if y = cx^n, then y' = ncx^(n-1).

Applying this rule to each term in the summation, we get:

y' = (1*1)x^(1-1) + (2*1)x^(2-1) + (3*1)x^(3-1) + ...

Simplifying this expression, we get:

y' = 1 + 2x + 3x^2 + 4x^3 + ...

Therefore, if y = sum from k=0 to infinity of (k 1)x^(k 3), then y' = 1 + 2x + 3x^2 + 4x^3 + ...

If we have the function y given by the sum from k=0 to infinity of (k+1)x^(k+3), we can find the derivative y' as follows:

y' = d/dx (sum from k=0 to infinity of (k+1)x^(k+3))

To find the derivative, we can differentiate term by term within the sum:

y' = sum from k=0 to infinity of d/dx((k+1)x^(k+3))

Using the power rule for differentiation, we get:

y' = sum from k=0 to infinity of (k+1)(k+3)x^(k+2)

So, the derivative y' is the sum from k=0 to infinity of (k+1)(k+3)x^(k+2).

Visit here to learn more about derivative  : https://brainly.com/question/25324584
#SPJ11

Answer:

Step-by-step explanation:

8x-1+6x+13=180 degree(being co interior angle)

14x=180-12

x=168/14

x=12

Answer:

I believe it would be 16

Step-by-step explanation:

8 is half of 16 and if she had 8 dollars after spending half her allowance, she would've had 16 as her allowance

Final answer: Her allowance would be 16 dollars

Answer:

750 cm (7.5m)is the biggest then its 7m(700 cm) then 77cm(0.77m)and then 0.7m(70 cm)

HOPE THIS HELPS YOU

Answer: 21 feet

Step-by-step explanation:

35/5 = 7

7 times 3 = 21

Answer: 468.75

is ya answer

i think

sorry if im wrong

Answer:

468.75

Step-by-step explanation:

First we need to add 25% to 500.00 which is 625.

Next we need to subtract 25% from 625.

Now we have 468.75.

The selling price of the couch is $468.75.

The correct answer is option d. The theoretical Probability of spinning a multiple of 3 with one spin is 0.

The theoretical probability of an event, we need to identify the number of favorable outcomes (the desired event) and the total number of possible outcomes.

In this case, the event is spinning a multiple of 3 on the spinner. Let's examine the possible outcomes and identify the favorable outcomes:

Possible outcomes on the spinner: {1, 2, 3, 4, 5, 6}

Favorable outcomes (multiples of 3): {3, 6}

The total number of possible outcomes is 6, and the number of favorable outcomes is 2.

The theoretical probability of spinning a multiple of 3 can be calculated as:

P(multiple of 3) = (Number of favorable outcomes) / (Total number of possible outcomes)

P(multiple of 3) = 2 / 6

Simplifying the fraction, we get:

P(multiple of 3) = 1 / 3

Therefore, the correct answer is option d. The theoretical probability of spinning a multiple of 3 with one spin is 0.

For more questions on Probability .

https://brainly.com/question/24756209

#SPJ8

Answer: in explination

Step-by-step explanation:

annual interest = .05(4000) = 200  

to double, you need another $4000  

number of years = 4000/200 = 20  

annual interest = .05(4000) = 200  

to double, you need another $4000  

number of years = 4000/200 = 20  

it will take 20 years  

to check if you are right you would...

Check:

simple interest on $4000 for 20 years at 5%  

= .05(20)(4000) = 4000  

the amount = what we had + new amount  

= 4000 + 4000 = 8000 which is double what we started with  

So the answer would be it took 20 years.

Answer:

80 = x

Step-by-step explanation:

The base angles are the same if the side lengths are the same

The unmarked angle is 50 degrees

The sum of the angles is a triangle is 180 degrees

180= 50+50+x

180 = 100 +x

180 -100 = 100+x-100

80 = x

Answer:

80°

Step-by-step explanation:

In an isosceles triangle, if the two sides are the same length, then the two angles formed on the base line are equal.

The other angle on the base line is also equal to 50°.

Angles in a triangle add up to 180°.

x° + 50° + 50° = 180°

x° + 100° = 180°

x° = 180° - 100°

x° = 80°

Answer:

1/7

Step-by-step explanation:

1 - 0                   1

------        =      -------

0 - ( - 7)             7

Answer:

please show the picture of the triangle so that I can be able to answer it

The statement "it is impossible to have a z-score of 0" is false.

The true statement is that it is possible to have a z-score of 0.What is a z-score? A z-score, also known as a standard score, is a measure of how many standard deviations an observation or data point is from the mean. The mean of the data has a z-score of 0, which is why it is possible to have a z-score of 0. If the observation or data point is above the mean, the z-score will be positive, and if it is below the mean, the z-score will be negative.

The given statement "it is impossible to have a z-score of 0" is false. The correct statement is "It is possible to have a z-score of 0."

Explanation:Z-score, also called a standard score, is a numerical value that indicates how many standard deviations a data point is from the mean. The z-score formula is given by:z = (x - μ) / σ

Where,z = z-score

x = raw data value

μ = mean of the population

σ = standard deviation of the population

If the data value is equal to the population mean, the numerator becomes 0.

As a result, the z-score becomes 0, which is possible. This implies that It is possible to have a z-score of 0. Therefore, the given statement is false.

To know more about mean , visit

https://brainly.com/question/31101410

#SPJ11

(35x) + (-56) this is an equivalent equation.

Answer:

7x(-4x+5)

Multiplying: -56+35x

Step-by-step explanation:

\(\mathrm{Factor\:assuming\:x\ge-\\\infty}\\\:a^{b+c}=a^ba^c\\x^2 = xx\\-28xx+35x\\-7 \times 4xx + 7 \times 5x\\=7x\left(-4x+5\right)\)

The only reason I had to assume x was any negative number was so that the absolute value did not matter in this instance, therefore making x become a negative number.

The other result, however, came from this:

\(-28\cdot \:2=-56\\=-56+35x\)

Inform me of any concerns. Hope this helps.

how many people????????????

Answer:

They make 200 pieces of caramel candies a day and 500 pieces of chocolate candies a day.

Step-by-step explanation:

Since the ratio is two to five, make it 2x + 5x = 700.

7x = 700

x=100

So, for caramel candies, 2 x 100 = 200

For chocolate candies, 5 x 100 = 500

Answer:

because its out of 100

Step-by-step explanation:

cause it could be something else

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

For such more question on interest

https://brainly.com/question/25720319

#SPJ8

Answer:

3

Step-by-step explanation:

The 3 is in the tens place representing the number 30.

~theLocoCoco

a. The domain of f(x) is [-∞, ∞].

b. The range of f(x) is [-4, ∞].

c. f(x) is decreasing on the open interval [-∞, -4].

d. f(x) is increasing on the open interval [-4, ∞].

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

Part a and b.

By critically observing the graph of f(x) shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-∞, ∞] or all real numbers.

Range = [-4, ∞] or {y|y ≥ -4}.

Part c and d.

By critically observing the graph of the given absolute value function f(x), we can reasonably infer and logically deduce that it is decreasing over the following open intervals:

increasing = [-4, ∞].

decreasing = [-∞, -4].

Read more on absolute value function here: brainly.com/question/28308900

#SPJ1

Answer:

Step-by-step explanation:

y = 5x - 4

y = 6x $\Rightarrow$ x = y/6

y = 5*y/6 - 4

y = 5y/6 - 4

6y = 5y - 24

y = -24.

So, x = -4

The value of x is 6

From the image given we can see that

m ∠DEF and m ∠FEG are alternate angles

It is important to note that alternate angles are congruent or equal.

Then, we have that

m ∠DEF = m ∠FEG

Where;

5x - 3 = 2x + 15

collect like terms

5x - 2x = 15 + 3

3x = 18

make 'x' subject of formula

x = 18/3

x = 6

Thus, the value of x is 6

Learn more about alternate angles here:

https://brainly.com/question/24839702

#SPJ1

Answer:

5 units

Step-by-step explanation:

Answer:

169 / 14

Step-by-step explanation:

7/1 + 71/14 = 7/1 * 14/14 + 71/14

= 98/14 + 71/14

= (98 + 71) / 14

= 169 / 14

So, the answer is 169 / 14

Thus, the value of x = 1 and x = -1, there are different values for y for both equations: y = x + 2 and y = x + 2.

A two-variable linear equation can be thought of as a perfect correlation between x and y, or two variables whose values rely on each other (often y and x) (usually x). Y is referred to as the dependent variable in this scenario since it depends on the independent variable, x.

Part A: x = 0

y = x + 2 =  0 + 2 = 2

y = -2x + 2 = -2(0) + 2 = 2

y has same values for x  = 0.

Part B: x = 1

y = x + 2 = 1+2 = 3

y = -2x + 2 = -2(1) + 2 = 0

y does not have same values.

Part C: x = -1

y = x + 2 = (-1)+2 = 1

y = -2x + 2 = -2(-1) + 2 = 4

y does not have same values.

Thus, the value of x = 1 and x = -1, there are different values for y for both equations: y = x + 2 and y = x + 2.

know more about the linear equation:

https://brainly.com/question/2030026

#SPJ1

Answer:

Step-by-step explanation:

Given the expression -2y-8+4y, we are to find the equivalent expressed is which other expression is similar to it. This can be expressed as shown below;

Step 1: Collect the like terms of the expression

= -2y-8+4y

= (-2y+4y)-8

Step 2: Sum up the terms in parenthesis:

=  (-2y+4y)-8

= 2y-8

Step 3: factor out the common terms

= 2y-8

= 2(y-4)

Hence the equivalent expression is 2(y-4).

Answer:

A and B

Step-by-step explanation:

On Khan Academy its right.

Answer:

2 hours and 2 minutes

Step-by-step explanation:

think about it this way 430 + 202 is 632 Wich is 4:30+ 2 hours and 2 minutes is 6:30

Answer:

1/8 and 2/1 or 1:8 and 2:1

Step-by-step explanation:

The length of the side of the frame will be 6.33  to the nearest inch.

All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.

Then the area of the square would be;

Area of the square = a² square units

We have been given that Rafael is constructing a square-shaped frame. And the frame has a 40 square inches surface area.

A = a²

40 = a²

a = √40

a = 6.33 inches

Hence, The length of the side of the frame to the nearest inches will be 6.33  to the nearest inch.

More about the area of the square link is given below.

brainly.com/question/1658516

#SPJ1