a company purchased a new computer system for $28,000. one year later, the resale value of the system was $15,700. assume that the value of the computer system declines according to an exponential model. At what rate was the value of the computer system changing 4 years after it was purchased?
A. Declining at the rate of $2,767.74 per year.
B. Declining at the rate of $1,601.26 per year.
C. Declining at the rate of $3,6214.88 per year.
D. Declining at the rate of $8,803.21 per year.
E. Declining at the rate of $2,546.52 per year.
F. None of the above.

Answers

Answer 1

The rate at which the value of the computer system is changing 4 years after it was purchased is "Declining at the rate of $8,803.21 per year". The correct option is D.

We can use the exponential decay formula [tex]V(t) = V0 * e^{-kt}[/tex], where V(t) is the value of the computer system after t years, V0 is the initial value, and k is the decay rate.

We know that V(1) = $15,700 and V(0) = $28,000, so we can solve for k:

[tex]$15,700 = $28,000 * e^{-k*1}[/tex]

[tex]e^{-k} = 0.5607[/tex]

-k = ln(0.5607) ≈ -0.5797

k ≈ 0.5797

Therefore, the decay rate is approximately 0.5797 per year.

To find the rate of change of the value of the computer system 4 years after it was purchased, we can take the derivative of V(t) with respect to t:

dV/dt = -k * V0 * [tex]e^{-kt}[/tex]

Substituting t = 4, V0 = $28,000, and k ≈ 0.5797, we get:

dV/dt = -0.5797 * $28,000 * [tex]e^{-0.5797*4}[/tex] ≈ -$8,803.21 per year

Therefore, the value of the computer system is declining at the rate of approximately $8,803.21 per year 4 years after it was purchased.

The correct answer is (D) Declining at the rate of $8,803.21 per year.

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Related Questions

In monopolistic competition, the end result of entry and exit is that firms end up with a price that lies a. on he upward-slopning porion of he average cost curve. b. at the very bottom of the AC curve. c. at the very top of the AC curve. d. on the downward-sloping portion of the average cost curve

Answers

In monopolistic competition, the end result of entry and exit is that firms end up with a price that lies on the downward-sloping portion of the average cost curve.

Monopolistic competition is a market condition in which many small firms compete with each other by selling slightly varied, but essentially comparable goods or services at somewhat different prices. These companies enjoy some market power, but they are not monopolies because their products or services are close substitutes for each other.

The equilibrium price in a monopolistically competitive market is a long-run, but not a short-run, outcome of entry and exit. Because the market is monopolistic, entry and exit do not have an immediate impact on the price; it simply alters the number of producers operating in the market. Over time, the entry and exit of producers in the industry will increase or decrease the number of substitutes available, driving demand curves and resulting in the price of the commodity settling on the down-sloping portion of the average cost curve in the long run.

Therefore, it can be concluded that the end result of entry and exit in monopolistic competition is that companies end up with a price that lies on the downward-sloping portion of the average cost curve.

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part c question consider two groups of randomly selected peppers, where neither group has all big or all small peppers. a mean difference of zero indicates the peppers are well distributed between the two groups.a. true b. false

Answers

False. A mean difference of zero does not necessarily indicate that the peppers are well distributed between the two groups.

What is number?

Number is a mathematical object used to count, measure, and label. It is one of the most fundamental concepts in mathematics and is used to describe a wide variety of physical, logical, and abstract objects. Numbers are used to represent quantities, lengths, temperatures, money, and many other measurements. They are also used to represent abstract ideas, such as the number of days in a year or the number of colors in a rainbow.

Although the mean may be equal between the two groups, the distribution of the peppers could be skewed and not evenly distributed. For example, one group could have all large peppers and the other all small peppers and the mean would be equal. This would not be considered well distributed. To ensure the peppers are evenly distributed, one should check the standard deviation or range of the data to see if the peppers are spread across both groups.

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Answer:  A mean difference of zero indicates the peppers

are not well distributed between the two groups.

Why: Part B Answers

What do large differences of the means of each group indicate? Select the correct answer.

The peppers with different weights aren’t properly distributed between the two groups.

So they arent distributed well

Suppose that 6 out of the 19 doctors in a small hospital are General Practitioners, 5 out of the 19 are under the age of 40 , and 2 are both General Practitioners and under the age of 40. What is the probability that you are randomly assigned a General Practitioner or a doctor under the age of 40

Answers

The probability of randomly selecting a doctor who is either a General Practitioner or under the age of 40 from a small hospital is 9/19, given 6 out of 19 are General Practitioners, 5 out of 19 are under 40, and 2 are both.

To find the probability of randomly selecting a doctor who is either a General Practitioner or under the age of 40, we need to add the probabilities of these two events and subtract the probability of selecting a doctor who is both a General Practitioner and under the age of 40, since we don't want to count that case twice:

P(General Practitioner or under 40) = P(General Practitioner) + P(Under 40) - P(General Practitioner and under 40)

we know 6 out of 19 doctors are General Practitioners, 5 out of 19 doctors are under the age of 40, 2 doctors are both General Practitioners and under the age of 40.

Therefore:

P(General Practitioner) = 6/19

P(Under 40) = 5/19

P(General Practitioner and under 40) = 2/19

Substituting these values into the formula:

P(General Practitioner or under 40) = 6/19 + 5/19 - 2/19

= 9/19

Therefore, the probability of randomly selecting a doctor who is either a General Practitioner or under the age of 40 is 9/19.

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Solve the system of equations shown below using graphing and substitution. y=2x+3 and y=15-x

Answers

Answer: -17x+3

Step-by-step explanation:

y=2x+3 and y=15-x

15x-2x+3

-17x+3

you can try this

A coffee maker is on sale for 45$. If the sales tax is 7%, how much will the buyer spend altogether?

Answers

Answer: 38 I think if it's not right I'm sorry I'm bad at math that's like the only thing I suck at

Step-by-step explanation:

Use the following circle to solve for x

Answers

We know that the product of lengths of the same chord is equal to the product of the other chord intersecting it.. So;

[tex] \purple{ \mathfrak{x \times 6 = 12 \times 5}}[/tex]

[tex] \large \purple{ \mathfrak{x = \frac{12 \times 5}{6}}}[/tex]

[tex] \large \purple{ \mathfrak{x = \frac{ \cancel{12} \times 5}{ \cancel6}}}[/tex]

[tex] \large \purple{ \mathfrak{x = 2 \times 5}}[/tex]

[tex] \large \boxed{ \red{ \mathfrak{x =10}}}[/tex]

1. An Estate dealer sells houses and makes a commission of GHc3750 for the first house sold. He
receives GHc500 increase in commission for each additional house sold. How many houses must
she sell to reach a total commission of GHc6500?

Answers

If an Estate dealer sells houses and makes a commission of GHc3750 for the first house sold and receives GHc500 increase in commission for each additional house sold, for reaching a total commission of GHc6500, she must have sold 6.5 houses.

How is the number of houses sold determined?

The number of houses the estate dealer sold to reach a total commission of GHc6500 can be determined using the mathematical operations of subtraction, division, and addition.

The total commission received = GHc6,500

The commission for the first house = GHc3,750

The commission for the remaining houses sold = GHc2,750 (GHc6,500 - GHc3,750)

The commission for additional sale of each house = GHc500

The number of additional houses sold = 5.5 (GHc2,750/GHc500)

The total number of houses sold = 6.5 (5.5 + 1 or the first house)

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Write an equation of the line that is parallel to y = 12
x + 3 and passes through the point (10, -5).

Answers

Answer:

y = 12x - 125

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 12x + 3 ← is in slope- intercept form

with slope m = 12

• Parallel lines have equal slopes , then

y = 12x + c ← is the partial equation

to fond c substitute (10, - 5 ) into the partial equation

- 5 = 12(10) + c = 120 + c ( subtract 120 from both sides )

- 125 = c

y = 12x - 125 ← equation of parallel line

for f(x)=3x, find f(4) and f(-3)​

Answers

For f(4)=3x the answer is 12 and for f(-3)=3x the answer is -9

I NEED ANSWERS ASAP….

Answers

Answer:

Step-by-step explanation:

It is set up

7x+5x+2y=20

7x+5x=12x

12x+2y=20

x=0

y=10

12(0)+2(10)=20

Ok so maybe this was not the same type of equation i thought it was it is not that easy!

what is the messure or the vertex angle of an isosceles triangle if one of its base angle measures 16 degrees

Answers

In an isosceles triangle, the base angles are congruent (have the same measure) and the vertex angle is opposite the base. Since one of the base angles measures 16 degrees, the other base angle also measures 16 degrees. Therefore, the sum of the base angles is 16 + 16 = 32 degrees.

Since the sum of the angles in any triangle is 180 degrees, we can find the measure of the vertex angle by subtracting the sum of the base angles from 180 degrees.

So, the measure of the vertex angle of the isosceles triangle is:

180 - 32 = 148 degrees.

What is the ordered pair for y=3x-3

Answers

Answer:

Step-by-step explanation:

Choose three values for

x and substitute in to find the corresponding y values.(0,−3),(1,0),(2,3)

You can choose any of these three pairs or the equation y=3x-3

Let sin(2x) = cos(x), where 0° ≤ x < 180°. what are the possible values for x? a. 30° only b. 90° only c. 30° or 150° d. 30°, 90°, or 150°

Answers

If sin(2x) = cos(x), where 0° ≤ x < 180°, then,  The possible angle values of x are 90°, 30° and 150°.

The sine and the cosine are trigonometric functions of the angles. The sine and cosine of an acute angle are defined in the context of a right triangle: for a given angle, its sine is the ratio of the length of the side opposite the angle to the length of the longest side of the angle. triangle (the hypotenuse ), and the cosine is the adjacent side The ratio of the length to the hypotenuse.

According to the Question:

Given that,

sin(2x) = cos(x) where 0° ≤ x < 180°

We know that:

sin(2x) = 2 sin(x) cos(x)

⇒ 2 sin(x) cos(x) = cos(x)

Subtract cos(x) on both sides

2 sin(x) cos(x) - cos(x) = 0

cos(x) (2sinx-1)=0

It means, cos(x) = 0 and (2sin x -1 ) = 0

cos x = cos0           and        sinx(x) = 1/2

x = 90°                     and        x = 30°, 150°

Hence, the possible values of x are 90°, 30° and 150°.

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Complete the recursive formula of the arithmetic sequence -16, -33, -50, -67,. −16,−33,−50,−67,. Minus, 16, comma, minus, 33, comma, minus, 50, comma, minus, 67, comma, point, point, point. C(1)=c(1)=c, left parenthesis, 1, right parenthesis, equals
c(n)=c(n-1)+c(n)=c(n−1)+c, left parenthesis, n, right parenthesis, equals, c, left parenthesis, n, minus, 1, right parenthesis, plus

Answers

The following is the recursive formula for the arithmetic sequence in this issue:

c(1) = -16.

c(n) = c(n - 1) - 17.

An arithmetic sequence is a series of numbers where each term is obtained by adding a fixed constant, known as the common difference, to the previous term. For example, in the sequence 2, 5, 8, 11, 14, 17, each term is obtained by adding 3 to the previous term.

The formula for finding the nth term of an arithmetic sequence is: a(n) = a(1) + (n-1)d, where a(1) is the first term, d is the common difference, and n is the term number. For example, to find the 10th term of the sequence 2, 5, 8, 11, 14, 17, we would use the formula a(10) = 2 + (10-1)3 = 29. Arithmetic sequences have many practical applications, such as in finance, where they can be used to calculate the interest earned on an investment over time.

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which of the following is an incorrect statement? if a density curve is skewed to the right, the mean will be larger than the median. in a symmetric density curve, the mean is equal to the median. the mean of a skewed distribution is pulled toward the long tail. the median is the balance point in a density curve.

Answers

In a skewed distribution, the long tail pulls the mean toward it. In a density curve, the median is where everything level out.

what is mean ?

The median, a statistician's measure of central tendency, divides a dataset into two equally sized half. When the data is organized from smallest to largest, it is the midway value (or largest to smallest). The median is the average of the two middle values when there are an even number of values. Since it is unaffected by extreme values, the median is frequently employed as a measure of central tendency when a dataset contains outliers or is skewed.

given

None of the claims are untrue.

The mean will be greater than the median if a density curve is tilted to the right.

The mean and median are equal in a density curve that is symmetric.

In a skewed distribution, the long tail pulls the mean toward it. In a density curve, the median is where everything level out.

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The ratio between two supplementary angle is 13:7. What are the measures of the angles?

Answers

Answer: The two angles are 117 degrees and 63 degrees.

Step-by-step explanation:

Supplementary angles are two angles whose sum is 180 degrees. Let the two angles be 13x and 7x, where x is a constant of proportionality.

We know that the sum of the angles is 180 degrees, so:

13x + 7x = 180

Combining like terms, we get:

20x = 180

Dividing both sides by 20, we get:

x = 9

So the measures of the angles are:

13x = 13(9) = 117 degrees

7x = 7(9) = 63 degrees

Therefore, the two angles are 117 degrees and 63 degrees.

The volume of a cylinder is 15, 919.8 cm³. If the height is 30 cm, what is the
radius? Use

Answers

The radius of the cylinder is r = 13 cm

What is the radius of a cylinder?

The radius of a cylinder is the radius of the circular base of the cylinder.

Since the volume of a cylinder is 15, 919.8 cm³. If the height is 30 cm, we require it radius.

Using the formula for volume of a cylinder V = πr²h where

r = radius of cylinder and h = height of cylinder

Making r subject of the formula, we have that

r = √V/πh

Since

V = 15,919.8 cm³h = 30 cm and π = 3.142

Substituting the values of the variables into the equation for the radius, we have that

r = √V/πh

r = √(15,919.8 cm³/[3.142 × 30 cm])

r = √(15,919.8 cm³/94.26 cm)

r = √168.8924 cm²

r = 12.995 cm

r ≅ 13 cm

So, the radius r = 13 cm

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A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book
printed. The total production cost C (in dollars) is given by the function C = 750+ 16.95N, where N is the number of books.
The total revenue earned (in dollars) from selling the books is given by the function R = 33.70N.
Let P be the profit made (in dollars). Wnite an equation relating P to N. Simplify your answer as much as possible.
P =

Answers

Answer:

The profit made is given by the difference between the total revenue and the total production cost:

P = R - C

Substituting the given expressions for R and C, we get:

P = 33.70N - (750 + 16.95N)

Simplifying:

P = 16.75N - 750

Therefore, the equation relating P to N is P = 16.75N - 750

-. If f(x) = x² + 3x-2, find f(x) when x = -2

Answers

Answer:

-4

Step-by-step explanation:

substitute -2 into the formula and solve

[tex]f(x)=(-2)^2+3(-2)-2\\f(x)=4+(-6)-2\\\boxed{f(x)=-4}[/tex]

A student takes a multiple-choice test that has 10 questions. Each question has four choices. The student guesses randomly at each answer. Round the answers to three decimal places Part 1 of2 (a) Find P(5) P(5)- Part 2 of2 (b) Find P(More than 3) P(More than 3)

Answers

A student attempts a 10-question multiple-choice test where each question presents four options, and the student makes random guesses for each answer. So the probability of (a) P(5)= 0.058 and (b) P(More than 3)= 0.093.

Part 1: Calculation of probability of getting 5 questions correct

(a) P(5)The formula used to find the probability of getting a certain number of questions correct is:

P(k) = (nCk)pk(q(n−k))

Where, n = total number of questions

(10)k = number of questions that are answered correctly

p = probability of getting any question right = 1/4

q = probability of getting any question wrong = 3/4

P(5) = P(k = 5) = (10C5)(1/4)5(3/4)5= 252 × 0.0009765625 × 0.2373046875≈ 0.058

Part 2: Calculation of probability of getting more than 3 questions correct

(b) P(More than 3) = P(k > 3) = P(k = 4) + P(k = 5) + P(k = 6) + P(k = 7) + P(k = 8) + P(k = 9) + P(k = 10)

P(k = 4) = [tex]10\choose4[/tex](1/4)4(3/4)6 = 210 × 0.00390625 × 0.31640625 ≈ 0.02

P(k = 5) = [tex]10\choose5[/tex](1/4)5(3/4)5 = 252 × 0.0009765625 × 0.2373046875 ≈ 0.058

P(k = 6) = [tex]10\choose6[/tex](1/4)6(3/4)4 = 210 × 0.0002441406 × 0.31640625 ≈ 0.012

P(k = 7) = [tex]10\choose7[/tex](1/4)7(3/4)3 = 120 × 0.00006103516 × 0.421875 ≈ 0.002

P(k = 8) = [tex]10\choose8[/tex](1/4)8(3/4)2 = 45 × 0.00001525878 × 0.5625 ≈ 0.001

P(k = 9) = [tex]10\choose9[/tex](1/4)9(3/4)1 = 10 × 0.000003814697 × 0.75 ≈ 0.000

P(k = 10) = [tex]10\choose10[/tex](1/4)10(3/4)0 = 1 × 0.0000009536743 × 1 ≈ 0

P(More than 3) = 0.020 + 0.058 + 0.012 + 0.002 + 0.001 + 0.000 + 0≈ 0.093

Therefore, the probabilities of the given situations are: P(5) ≈ 0.058, P(More than 3) ≈ 0.093.

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I need help on these!

Answers

a.

Three points that are solutions to the system are:

(0, -9)
(3, -5)
(4, -4)

b.

Three points that are solutions to the system are:

(3, 2)
(2, 1)
(1, 0)

10340000000 in standard form

Answers

Answer:

1034 x 10⁷

Step-by-step explanation:

the seven just means to multiply by 10 seven times

Let me know if this helps.

Question
Find the value of y
for the given value of x
.

y=1−2x;x=9

Answers

Answer:

y=-17

Step-by-step explanation:

1-2(9)=1-18=-17

Answer: y = -17

Step-by-step explanation:

Using PEMDAS, you need to do the multiplication first. 2 times x is 18, because the value of x is 9. You will then get 1 - 18. This is -17, so y = -17. I hope that this helped! :)

The probability of drawing a black ball from a bag containing 5 black and 3 red ball is

Answers

Answer:

The probability of drawing a black ball can be calculated using the following formula:

Probability of drawing a black ball = Number of black balls / Total number of balls

In this case, there are 5 black balls and 3 red balls, so the total number of balls in the bag is:

Total number of balls = 5 + 3 = 8

Therefore, the probability of drawing a black ball is:

Probability of drawing a black ball = 5/8

So, the answer is the probability of drawing a black ball from a bag containing 5 black and 3 red balls is 5/8.

Step-by-step explanation:

The 1948 and 2018 temperatures at 197 random locations across the globe were compared and the mean difference for the number of days above 90 degrees was found to be 2.9 days with a standard deviation of 17.2 days. The difference in days at each location was found by subtracting 1948 days above 90 degrees from 2018 days above 90 degrees.
What is the lower limit of a 90% confidence interval for the average difference in number of days the temperature was above 90 degrees between 1948 and 2018?
What is the upper limit of a 90% confidence interval for the average difference in number of days the temperature was above 90 degrees between 1948 and 2018?
What is the margin of error for the 90% confidence interval?
Does the 90% confidence interval provide evidence that number of 90 degree days increased globally comparing 1948 to 2018?
Does the 99% confidence interval provide evidence that number of 90 degree days increased globally comparing 1948 to 2018?
If the mean difference and standard deviation stays relatively constant would decreasing the degrees of freedom make it easier or harder to conclude that there are more days above 90 degrees in 2018 versus 1948 globally.
If the mean difference and standard deviation stays relatively constant does lowering the confidence level make it easier or harder to conclude that there are more days above 90 degrees in 2018 versus 1948 globally.

Answers


The lower limit of a 90% confidence interval for the average difference in the number of days the temperature was above 90 degrees between 1948 and 2018 is -22.8 days and the upper limit is 28.6 days.

The margin of error for the 90% confidence interval is 25.4 days.

The 90% confidence interval does provide evidence that the number of 90-degree days increased globally comparing 1948 to 2018.

The 99% confidence interval also provides evidence that the number of 90-degree days increased globally comparing 1948 to 2018.

If the mean difference and standard deviation stay relatively constant, decreasing the degrees of freedom would make it harder to conclude that there are more days above 90 degrees in 2018 versus 1948 globally.

Lowering the confidence level would also make it harder to conclude that there are more days above 90 degrees in 2018 versus 1948 globally.

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7) A long piece of wire of length 90 cm is bent to form an equilateral triangle. What will be the length of each side of the triangle?​

Answers

Answer:

30cm

Step-by-step explanation:

Perimeter of an equilateral triangle = 3L

Mathematically we have;

P = 3L

Where P = perimeter of the triangle

L = Length

Therefore;

90 = 3L

Divide both side by 3

L = 30cm

Therefore, the length of each side of the triangle is 30cm.

CAN SOMEBODY HELP ME FACTOR AS THE PRODUCT OF TWO BINOMIALS
x²- x- 42

Answers

Answer:

(x-7)(x+6)

factor and see what works

a relationship that is noted between two or more variables is termed

Answers

The relationship that is noted between two or more variables is termed a correlation. Correlation refers to the statistical association or relationship between two or more variables.

It indicates the degree to which the variables are related or how they are related to each other. Correlation can be positive, negative, or zero, depending on the direction and strength of the relationship between the variables.

A positive correlation indicates that as one variable increases, the other variable also increases. A negative correlation indicates that as one variable increases, the other variable decreases. Zero correlation indicates that there is no relationship between the variables.

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Question A normal distribution is observed from the number of points per game for a certain basketball player. The mean for this distribution is 20 points and the standard deviation is 3 points. Use the empirical rule for normal distributions to estimate the probability that in a randomly selected game the player scored less than 26 points. • Provide the final answer as a percent rounded to one decimal place. Provide your answer below: % SUBMIT FEEDBACK MORE INSTRUCTION

Answers

Given a normal distribution is observed from the number of points per game for a certain basketball player. The mean for this distribution is 20 points and the standard deviation is 3 points.Using the empirical rule for normal distributions, the probability that in a randomly selected game the player scored less than 26 points is required .Empirical Rule: For a normal distribution with a mean µ and a standard deviation σ, the probability of an observation being within k standard deviations of the mean is approximately:•

68% of the observations fall within one standard deviation of the mean.• 95% of the observations fall within two standard deviations of the mean.• 99.7% of the observations fall within three standard deviations of the mean.Here, the mean is 20 points and the standard deviation is 3 points. We need to find the probability of getting less than 26 points.z-score = (x - µ) / σ = (26 - 20) / 3 = 2σ = 2According to the empirical rule, 95% of observations fall within 2 standard deviations of the mean.So, the probability that the player scored less than 26 points is 95%.Therefore, the final answer is 95% rounded to one decimal place. Answer: 95%.

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is the bottled water you are drinking really purified water? a study of various brands of bottled water conducted by the natural resources defense council found that 25% of bottled water is just tap water packaged in a bottle (scientific american, july 2003).

Answers

Yes, there is a chance that the bottled water you are drinking is just tap water packaged in a bottle. According to a study by the Natural Resources Defense Council, 25% of bottled water is just tap water that has been packaged in a bottle. [Scientific American, July 2003]

What is bottled water?

Bottled water is drinking water that has been packaged in bottles or containers for sale. Bottled water can come from a variety of sources, such as municipal supplies, springs, wells, and other sources. In some cases, bottled water is treated or purified to remove impurities and contaminants. However, not all bottled water is purified or treated, and some may be just tap water that has been packaged in a bottle.

What is purified water?

Purified water is water that has been treated to remove impurities and contaminants. Purified water can come from any source, including municipal supplies, wells, and other sources. Purification methods may include filtration, reverse osmosis, distillation, or other methods. Purified water is commonly used in medical and industrial applications, as well as in homes for drinking and cooking.

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camille knew that her boss was going to be furious when he learned that she hadn't met her sales quota. rather than face his ire, she quickly arranged a business trip that so she would be out of the office for several days and hoped he'd have cooled off when she returned. which style of conflict resolution is camille using? In a single-flash geothermal power plant, geothermal water enters the flash chamber (a throttling valve) at 230C as a saturated liquid at a rate of 50 kg/s. The steam resulting from the flashing process enters a turbine and leaves at 20 kPa with a moisture content of 5 percent. Determine the temperature of the steamafter the flashing process and the power output from the turbine if the pressure of the steam at the exit of the flash chamber (2) is 1 MPa PLS HELP FAST 50 POINTS + BRAINLIEST The time and money spent in carrying out financial transactions are calledA) economies of scale.B) financial intermediation.C) liquidity services.D) transaction costs. Which of the following audit opinions would most likely be issued if the financial statements are materially misstated due to a misstatement in one particular account balance?a. Disclaimerb. Unqualifiedc. Adversed. Qualified find the current in an 8.00-v resistor connected to a battery that has an internal resistance of 0.15 v if the voltage across the battery (the terminal voltage) is 9.00 v. (b) what is the emf of the battery? Which equation calculates the total amount of milk needed to make 7 milkshakes if each milkshake requires 3 4 cup of milk? A. 7 3 4 = 21 28 cups B. 7 + 3 4 = 7 3 4 cups C. 7 1 4 = 7 4 , or 1 3 4 cups D. 7 3 4 = 21 4 , or 5 1 4 cups which of the following bones are part of the axial skeleton? mark all that apply. group of answer choices A) humerus B) femur C) sacrum D) os coxae E) mandible F) ribcage HELP PLS ILL GIVE U POINTS Decrease R450 in the ratio 9:8 the customers of rhythm time, an online music service, download 278,579 songs this year. that number is 30% lower than last year. how many songs did they downloaded last year? fill in the blank. to create a dopamine deficient (dd) mouse that retains the ability to produce ne, the gene for___is selectively restored in noradrenergicc neurons Find the mean and variance of each of the random variables described below; each of parts a-o refers to a different random variable. c. P(X--5) = 1/4, P(X = 0) = 1 /2, P(X = 5) 1 /4. d. P(X =-5) = .01 , P(X 0) = .98, P(X = 5) = .01 e. P(X-_50) = .0001, P(X = 0) .9998, P(X = 50) = .0001. g. P(X =0)=1/2, P(X = 2) = 1/2. h, P(X = .01) = .01, P(X = 1.01) = .99. QuestionFind the value of y for the given value of x.y=x+5;x=3 a worker who works a job such as cleaning houses or child care but is not reporting the income earned to the tax authorities, would be categorized by the government as: As per the Enzyme commission classification, the phosphotases belong to which of the following Class? a. 5 b.3 c.2 d. 1 Consider the following argument: "Ned argues that IT employees should be given the raise they were promised. But of course Ned thinks that; he works for IT. I believe we can safely ignore his argument." What fallacy does this argument commit?a.personal attackb.attacking the motivec.look who's talking 1.Why is the Estonian language dying out? 2.Is the Filipino language slowly declining? according to studies of boys' gangs, who among the following is best described as an individual who is younger, physically disabled, or otherwise different from other members of the group in a way that they consider inferior? According to strategic trade policy, a government can help raise national incomes if it can ensure that the firms that gain first-mover advantages in such industries are domestic rather foreign. Further, the theory argues that it might pay governments to intervene in an industry if it helps domestic firms overcome the barriers to entry created by foreign firms that have already reaped first-mover advantages.