√5/49+√20/49−2√45/49

Answers

Answer 1

Answer:

-0.136

Step-by-step explanation:


Related Questions

The charitable foundation for a large metropolitan hospital is conducting a study to characterize its donor base. In the past, most donations have come from relatively wealthy individuals; the average annual donor income in the most recent survey was right at $100,000. The foundation believes the average has now increased. A random sample of 200 current donors showed a mean annual income of $103,157 and a standard deviation of $27,498.a. To perform this study, we should form a null hypothesis stating that the average is ______________ 100,000. (Please fill in only one of the following: "less than", "less than or equal to", "equal to", "greater than", "greater than or equal to". Please do not use symbols.)b. At the 10% significant level, the p-value/statistics is _____________________ (Please keep three decimal points) so we should __________________ the null hypothesis (Please only fill in "reject" or "not reject".).c. Hence, we may conclude that the average _________________ increased (Please only fill in "has" or "has not") and the probability that our conclusion is correct is at least _________________ percent.

Answers

Answer:

Step-by-step explanation:

a) We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ equal to 100000

For the alternative hypothesis,

H1: µ greater than 100000

This is a right tailed test

Since the population standard deviation is nit given, the distribution is a student's t.

Since n = 200

Degrees of freedom, df = n - 1 = 200 - 1 = 199

t = (x - µ)/(s/√n)

Where

x = sample mean = 103157

µ = population mean = 100000

s = samples standard deviation = 27498

t = (103157 - 100000)/(27498/√200) = 1.62

We would determine the p value using the t test calculator.

p = 0.053

Alpha = 10% = 0.1

Since alpha, 0.1 > than the p value, 0.053, then

b) At the 10% significant level, the p-value/statistics is 0.053, so we should not reject the null hypothesis.

c) Hence, we may conclude that the average has not increased and the probability that our conclusion is correct is at least 90 percent.

Suppose f(x)=x^2 and g(x) =7x^2 which statement best compares the graph of g(x) with the graph f(x)

Answers

Answer:

The graph g(x) is the graph f(x) vertically stretched by a factor of 7.

Step-by-step explanation:

Quadratic Equation: f(x) = a(bx - h)² + k

Since we are modifying the variable a, we are dealing with vertical stretch (a > 1) or vertical shrink (a < 1). Since a > 1 (7 > 1), we are dealing with a vertical stretch by a factor of 7.

Answer:

The graph g(x) is the graph f(x) vertically stretched by a factor of 7.

Step-by-step explanation:

Quadratic Equation: f(x) = a(bx - h)² + k

Since we are modifying the variable a, we are dealing with vertical stretch (a > 1) or vertical shrink (a < 1). Since a > 1 (7 > 1), we are dealing with a vertical stretch by a factor of 7.

Hunter is 9 years older than 3 times the age of his nephew. Hunter is 33 years old. How old is his nephew?

Answers

Answer:

8 years old.

(3x+9)

(3(8)+9)=33

Below are the times (in days) it takes for a sample of 17 customers from Andrew's computer store to pay their invoices.
19, 15, 43, 39, 35, 31, 27, 34, 34, 30, 30, 26, 26, 26, 21, 21, 17
Draw the histogram for these data using an initial class boundary of 14.5, an ending class boundary of 49.5, and 5 classes of equal width. Note that you can add
or remove classes from the figure. Label each class with its endpoints.
Frequency
:lolo:0
x
?
7-
6+
5+
4+
3+
2+
0
0
0
Time (in days)

Answers

Answer:

Step-by-step explanation:

Hello!

The variable of interest is X: time it takes a customer from Andrew's computer store to pay his invoices.

You have the information of a sample of n= 17 customers

19, 15, 43, 39, 35, 31, 27, 34, 34, 30, 30, 26, 26, 26, 21, 21, 17

To determine the class width of the intervals for the divide the difference between the ending and initial class boundaries by the number of intervals that you want to determine:

Class width: (49.5-14.5)/5= 7

Then, starting from the initial class boundary, you have to add the class width to determine the next boundary, and so on until the ending class boundary:

Initial class boundary: 14.5

14.5 + 5.6= 20.1

1st interval: [14.5; 21.5]

and so on:

[21.5; 28.5]

[28.5; 35.5]

[35.5; 42.5]

[42.5; 49.5]

Once you determined all class intervals, you have to order the values of the data set from least to greatest and then count how many observations correspond to each interval and arrange it in a frequency table.

15, 17, 19, 21, 21, 26, 26, 26, 27, 30, 30, 31, 34, 34, 35, 39, 43

[14.5; 21.5] ⇒ 5

[21.5; 28.5] ⇒ 4

[28.5; 35.5] ⇒ 6

[35.5; 42.5] ⇒ 1

[42.5; 49.5] ⇒ 1

Once you have the data set organized in the table, you can proceed to draw the histogram.

(See attachment)

I hope this helps!

Please help fast!!!! What are the center and radius of the circle defined by the equation x2 + y2 - 6x+By+21=0 ?

Answers

Answer:

Option A

Step-by-step explanation:

The first thing we want to do here is to rewrite the equation given to us, in standard circle equation -

[tex]x^2+y^2-6x+8y+21=0,\\\left(x-3\right)^2+\left(y-\left(-4\right)\right)^2=2^2[/tex]

The " standard form " of a circle is given to be in the following form,[tex](x-a)^{2} + (y-b)^{2} = r^2[/tex] where r = radius, centered at ( a, b )

Now as you can see, the center ( given by ( a, b ) ) should be ( 3, - 4 ). Respectively the radius is 2, and therefore the circle properties are -

Center [tex]( 3, - 4 )[/tex]; radius [tex]2[/tex]

Hope that helps!

Write an equation to model the total charge y (in dollars) in terms of x (the number of miles), A car rental
agency charges a flat fee of 25 dollars plus 4 dollars a mile

Answers

Answer: the answer is C: y=4x+25

Step-by-step explanation:

25= B which is the initial charge and being that no other answer has a matching response, I connected the clues.

A function F parentheses X is graft what is the slope of the function what is the Y intercept of the function which equation represents the graph of the function

Answers

Answer:

5

Step-by-step explanation:

A cellular phone company monitors monthly phone usage. The following data represent the monthly phone use in minutes of one particular
customer for the past 20 months. Use the given data to answer parts (a) and (b).
325 517 424 395 494
396 351 379 408 426
523 421 434 373 456
535 394 437 403 513
(a) Determine the standard deviation and interquartile range of the data.
s=(Round to two decimal places as needed.)

Answers

The answer is 325 517 424 395 494

Answer:

The answer is: 325 517 424 395 494

Step-by-step explanation:

Solve the system by the method of elimination.

Answers

Answer:

x=47/3  y=-11

Step-by-step explanation:

A bit messy, but I hope you can understand from this.

If you have any questions, please feel free to ask any time!

Answer:

work is shown and pictured

a canoe in still water travels at a rate of 12 miles per hour. the current today is traveling at a rate of 2 miles per hour. if it took an extra hour to travel upstream, how far was the trip one way?

Answers

Answer:

  60 miles

Step-by-step explanation:

We assume the trip is "d" miles and that the "extra hour" refers to the additional time that a current of 2 mph would add. That is, we assume the reference time is for a current of 0 mph.

The time with no current is ...

  time1 = distance/speed

  time1 = d/12 . . . . hours

With a current of 2 mph in the opposite direction, the time is ...

  time2 = d/(12 -2) = d/10

The second time is 1 hour longer than the first, so we have ...

  time2 = 1 + time1

  d/10 = 1 + d/12

  6d = 60 + 5d . . . . multiply by 60

  d = 60 . . . . . . . . . subtract 5d

The one-way distance is 60 miles.

The​ profit, in thousands of​ dollars, from the sale of x thousand candles can be estimated by ​P(x) = 5 x - 0.7 x ln x.
1) Find the marginal profit, P'(x).
2) Find P'(10), and explain what this number represents. What does P'(10) represent?
A. The additional profit, in thousands of dollars, for selling a thousand candles once 10,000 candles have already been sold.
B. The additional profit, in thousands of dollars, when 10,000 candles are sold.
C. The additional cost, in thousands of dollars, to produce a thousand candles once 10,000 candles have already been sold.
D The additional cost, in thousands of dollars, to produce 10,000 candles.
C. How many thousands of candles should be sold to maximize profit?

Answers

1) The marginal profit is [tex]4.3 - 0.7 ln(x)[/tex].

2) The additional profit, in thousands of dollars, for selling a thousand candles once 10,000 candles have already been sold.

Thus, option (A) is correct.

C) To maximize profit 462,481 thousands of candles should be sold.

Given: [tex]P(x) = 5 x - 0.7 x[/tex] [tex]{\text}ln x.[/tex]

1) Take the derivative of the profit function P(x) with respect to x.

P(x) = 5x - 0.7x ln(x)

To find P'(x), differentiate each term separately using the power rule and the derivative of ln(x):

[tex]P'(x) = 5 - 0.7(1 + ln(x))[/tex]

       = [tex]5 - 0.7 - 0.7 ln(x)[/tex]

       = [tex]4.3 - 0.7 ln(x)[/tex]

2) Substitute x = 10 into the derivative:

P'(10) = 4.3 - 0.7 ln(10)

         = 4.3 - 0.7(2.30259)

         = 4.3 - 1.61181

         = 2.68819

Therefore, the additional profit for selling a thousand candles once 10,000 candles have already been sold.

Thus, option (A) is correct.

C) Set P'(x) = 0 and solve for x:

[tex]4.3 - 0.7 ln(x) = 0[/tex]

[tex]0.7 ln(x) = 4.3[/tex]

[tex]{\text} ln(x) = 4.3 / 0.7[/tex]

[tex]{\text} ln(x) = 6.14286[/tex]

[tex]x = e^{6.14286[/tex]

[tex]x = 462.481[/tex]

Therefore, 462,481 thousands of candles should be sold.

Learn more about Derivative here:

https://brainly.com/question/25324584

#SPJ6

1) The marginal profit, P'(x), is -0.7ln(x) + 4.3.

2) The number of thousands of candles that should be sold to maximize profit is approximately 466.9.

1) To find the marginal profit, P'(x), we need to take the derivative of the profit function, P(x), with respect to x. Using the power rule and the chain rule, we can differentiate the function:

P(x) = 5x - 0.7x ln(x)

Taking the derivative with respect to x:

P'(x) = 5 - 0.7(ln(x) + 1)

Simplifying:

P'(x) = 5 - 0.7ln(x) - 0.7

P'(x) = -0.7ln(x) + 4.3

2) To find P'(10), we substitute x = 10 into the marginal profit function:

P'(10) = -0.7ln(10) + 4.3

Using a calculator, we can evaluate this expression:

P'(10) ≈ -0.7(2.3026) + 4.3 ≈ -1.6118 + 4.3 ≈ 2.6882

The value of P'(10) is approximately 2.6882.

Now, let's interpret what P'(10) represents:

The correct interpretation is A. The additional profit, in thousands of dollars, for selling a thousand candles once 10,000 candles have already been sold.

P'(10) represents the rate at which the profit is changing with respect to the number of candles sold when 10,000 candles have already been sold. In other words, it measures the additional profit (in thousands of dollars) for each additional thousand candles sold once 10,000 candles have already been sold.

Lastly, to determine the number of thousands of candles that should be sold to maximize profit, we need to find the critical points of the profit function P(x). This can be done by setting the derivative P'(x) equal to zero and solving for x.

-0.7ln(x) + 4.3 = 0

-0.7ln(x) = -4.3

ln(x) = 4.3 / 0.7

Using properties of logarithms:

x = e^(4.3 / 0.7)

Using a calculator, we can evaluate this expression:

x ≈ e^(6.1429) ≈ 466.9

for such more question on marginal profit

https://brainly.com/question/13444663

#SPJ8

Which number is irrational??

Answers

Answer:

√6

Step-by-step explanation:

√6 = 2.44948974278...

The number never ends and the values don't repeat therefore, the correct answer is √6.

Hope this helps! :)

Answer:

B. The square root of 5

Step-by-step explanation:

You can only square root a number that can be the answer to an equation like x*x=5, which it is not.

Gravel is being dumped from a conveyor belt at a rate of 35 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 10 ft high? (Round your answer to two decimal places.)

Answers

Answer:

0.45 ft/min

Step-by-step explanation:

Given:-

- The flow rate of the gravel, [tex]\frac{dV}{dt} = 35 \frac{ft^3}{min}[/tex]

- The base diameter ( d ) of cone = x

- The height ( h ) of cone = x

Find:-

How fast is the height of the pile increasing when the pile is 10 ft high?

Solution:-

- The constant flow rate of gravel dumped onto the conveyor belt is given to be 35 ft^3 / min.

- The gravel pile up into a heap of a conical shape such that base diameter ( d ) and the height ( h ) always remain the same. That is these parameter increase at the same rate.

- We develop a function of volume ( V ) of the heap piled up on conveyor belt in a conical shape as follows:

                                [tex]V = \frac{\pi }{12}*d^2*h\\\\V = \frac{\pi }{12}*x^3[/tex]

- Now we know that the volume ( V ) is a function of its base diameter and height ( x ). Where x is an implicit function of time ( t ). We will develop a rate of change expression of the volume of gravel piled as follows Use the chain rule of ordinary derivatives:

                               [tex]\frac{dV}{dt} = \frac{dV}{dx} * \frac{dx}{dt}\\\\\frac{dV}{dt} = \frac{\pi }{4} x^2 * \frac{dx}{dt}\\\\\frac{dx}{dt} = \frac{\frac{dV}{dt}}{\frac{\pi }{4} x^2}[/tex]

- Determine the rate of change of height ( h ) using the relation developed above when height is 10 ft:

                              [tex]h = x\\\\\frac{dh}{dt} = \frac{dx}{dt} = \frac{35 \frac{ft^3}{min} }{\frac{\pi }{4}*10^2 ft^2 } \\\\\frac{dh}{dt} = \frac{dx}{dt} = 0.45 \frac{ft}{min}[/tex]

From a group of graduate students including 25 men and 22 women, 37 are chosen to participate in a presentation. What is the probability that exactly 19 men and 18 women are chosen

Answers

Answer:

25.02% probability that exactly 19 men and 18 women are chosen

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the men and the women are selected is not important, so we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

19 men, from a set of 25

18 women, from a set of 22

[tex]D = C_{25,19}*C_{22,18} = \frac{25!}{19!6!}*\frac{22!}{18!4!} = 1295486500[/tex]

Total outcomes:

37 people from a set of 25 + 22 = 47. So

[tex]T = C_{47,37} = \frac{47!}{37!10!} = 5178066751[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{1295486500}{5178066751} = 0.2502[/tex]

25.02% probability that exactly 19 men and 18 women are chosen

3.
A passenger jet can fly 1,290 mil
in 3 hours with a tailwind bi
1,230 miles in 3 hours
headwind. Find the speed
the Jet in Still air and the
of the wind.

Answers

Answer:

Jet= 420 mph     Wind = 10mph

Step-by-step explanation:

The speed of the plane in a tailwind can be modeled by x+y where x is the speed of the plane and y is the speed of the wind. Dividing 1290 by 3 gets you the average speed of the jet in a tailwind, which is 430.

The speed of the plane in a headwind can be modeled by x-y where x is the speed of the plane and y is the speed of the wind. Dividing 1230 by 3 gets you the average speed of the jet in a tailwind, which is 410.

This can be modeled by a system of equations, where x+y=430 and x-y=410. Solving the equation you get x=420 and y=10.

So, the speed of the jet is 420 mph and the speed of the wind is 10 mph.

What is the domain of the function y = 3 l n x graphed below?

On a coordinate plane, a curve starts in quadrant 4 and then increases up into quadrant 1. It crosses the x-axis at (1, 0).
x greater-than 0
x less-than 0
x less-than 3
x greater-than 3

Answers

Answer:

x>0

Step-by-step explanation:

The domain are the possible values of x you can use.

For ln functions, x must be positive (the ln of a negative number does not exist).

So, x must be larger than 0. No part of the graph will be left of the y axis.

Answer:

The answer is option A.

x > 0

Hope this helps you

I NEED HELP PLEASE, THANKS! :)
While doing bicep curls, Tamara applies 155 Newtons of force to lift the dumbbell. Her forearm is 0.366 meters long and she begins the bicep curl with her elbow bent at a 15° angle below the horizontal, in the direction of the positive x-axis. Determine the magnitude of the torque about her elbow. (Show work)

Answers

Answer:

  54.8 N·m

Step-by-step explanation:

The horizontal distance from the dumbbell to the elbow is ...

  (0.366 m)cos(15°) ≈ 0.3535 m

Then the torque due to the vertical force is ...

  (155 N)(0.3535 m) = 54.8 N·m

If nine of every 11 trick-or-treaters that came to your house last Halloween were dressed as pirates what proportion of trick-or-treaters were not dressed as pirates

Answers

Answer:

11 - 9 = 2 trick-or-treaters out of 11 were not dressed as pirates so the proportion is 2/11.

Answer: Ratio is 2:11

Step-by-step explanation:

So your ratio of pirates to non-pirates would be 9:11

So you subtract number of pirates from total trick-or-treaters and get 2.

So the proportion of non-pirates would be 2:11.

Which point is a solution to the inequality shown in this graph?
5
(3,-1)
(-3,-3)
O A. (5,-5)
O B. (1,5)
C. (-3,-3)
D. (3, -1)

Answers

Hey there!

To find the answer, we just need to see which point falls in this blue, which represents the inequality.

We see that the point (5,-5) is not on the blue.

We see that the point (1,5) is on the blue.

(-3,-3) is on the dotted line but not a solution of the inequality. The dotted line is excluded from the inequality. If it were a bold line, then it would be a solution of the inequality.

(3,-1) is also on the dotted line so it is not a solution.

Therefore, the answer is B. (1,5)

I hope that this helps!

We want to see which point is a solution for the graphed inequality.

We will find that the correct option is B, (1, 5)

Notice that the line that defines the inequality contains the points (-3, -3) and (3, -1)

Then the slope of that line is:

[tex]a = \frac{-1 -(-3)}{3 - (1)} = 1/2[/tex]

Then the line is something like:

y = (1/2)*x + b

To find the value of b, we use the fact that this line passes through the point (3, -1), then we have:

-1 = (1/2)*3 + b

-1 - 3/2 + b

-5/2 = b

So the line is:

y = (1/2)*x - 5/2

And we can see that the line is slashed, and the shaded area is above the line, then we have:

y > (1/2)*x - 5/2

Now that we have the inequality, we can just input the values of the points in the inequality and see if this is true.

First, options C and D can be discarded because these points are on the line, and the points on the line are not solutions.

So we only try with A and B.

A) x = 5

   y = -5

then we have:

-5 > (1/2)*5 - 5/2

-5 > 0

Which clearly is false.

B) x = 1

   y = 5

Then we have:

5 > (1/2)*1 - 5/2 = -4/2

5 > -4/2

This is true, then the point (1, 5) is a solution.

Thus the correct option is B.

If you want to learn more, you can read:

https://brainly.com/question/20383699

g 7. Find Re f and Im f and find their values at the given z. (Both answers should be included) f = z⁄(z + 1), z = 4 − 5

Answers

Answer:

The real and imaginary parts of the result are [tex]\frac{1441}{1601}[/tex] and [tex]\frac{4}{1601}[/tex], respectively.

Step-by-step explanation:

Let be [tex]f(z) = \frac{z}{z+1}[/tex], the following expression is expanded by algebraic means:

[tex]f(z) = \frac{z\cdot (z-1)}{(z+1)\cdot (z-1)}[/tex]

[tex]f(z) = \frac{z^{2}-z}{z^{2}-1}[/tex]

[tex]f(z) = \frac{z^{2}}{z^{2}-1}-\frac{z}{z^{2}-1}[/tex]

If [tex]z = 4 - i5[/tex], then:

[tex]z^{2} = (4-i5)\cdot (4-i5)[/tex]

[tex]z^{2} = 16-i20-i20-(-1)\cdot (25)[/tex]

[tex]z^{2} = 41 - i40[/tex]

Then, the variable is substituted in the equation and simplified:

[tex]f(z) = \frac{41-i40}{41-i39} -\frac{4-i5}{41-i39}[/tex]

[tex]f(z) = \frac{37-i35}{41-i39}[/tex]

[tex]f(z) = \frac{(37-i35)\cdot (41+i39)}{(41-i39)\cdot (41+i39)}[/tex]

[tex]f(z) = \frac{1517-i1435+i1443+1365}{3202}[/tex]

[tex]f(z) = \frac{2882+i8}{3202}[/tex]

[tex]f(z) = \frac{1441}{1601} + i\frac{4}{1601}[/tex]

The real and imaginary parts of the result are [tex]\frac{1441}{1601}[/tex] and [tex]\frac{4}{1601}[/tex], respectively.

What is the simplified value of this expression pls help

Answers

Answer:

7

Step-by-step explanation:

Remove parentheses.

[tex]\frac{-8+4(4.5)}{6.25-8.25} \\[/tex]

Add −8 and 4.5.

[tex]\frac{4(-3.5)}{6.25 - 8.25} \\\\[/tex]

Subtract 8.25 from 6.25.

[tex]\frac{4*-3.5}{-2}[/tex]

Multiply 4 by −3.5.

[tex]\frac{-14}{-2}[/tex]

Divide −14 by −2.

= 7

Mario and tabitha are calculating the probability of getting a 4 and a 2 if they roll a die twice. Who is correct?

Answers

Answer:

[tex]\frac{2}{12}[/tex] simplified to [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

4 = [tex]\frac{1}{12}[/tex]

2 = [tex]\frac{1}{12}[/tex]

[tex]\frac{1}{12}[/tex] + [tex]\frac{1}{12}[/tex] = [tex]\frac{2}{12}[/tex] ÷ 2 = [tex]\frac{1}{6}[/tex]

Which of the following relations is a function?

a{(1, 3), (2, 3), (4,3), (9,3)}

b{(1, 2), (1, 3), (1, 4), (1,5)}

c{(5, 4), (-6, 5), (4, 5), (4, 0)}

d{(6,-1), (1,4), (2, 3), (6, 1)}​

Answers

Answer:

a{(1, 3), (2, 3), (4,3), (9,3)}

Step-by-step explanation:

For the relation to be a function, each x can only go to 1 y

a{(1, 3), (2, 3), (4,3), (9,3)}

function

b{(1, 2), (1, 3), (1, 4), (1,5)}

x=1 goes to 4 different y's so not a function

c{(5, 4), (-6, 5), (4, 5), (4, 0)}

x=4 goes to 2 different y's so not a function

d{(6,-1), (1,4), (2, 3), (6, 1)}​

x = 6 goes to 2 different y's so not a function

A.

Option A is the answer since a function does NOT contain repeating x-values. In option A, it has the x-values of 1, 2, 4, 9 which do NOT repeat.

Write an equation that expresses the following relationship. w varies directly with u and inversely with d In your equation, use k as the constant of proportionality.

Answers

Step-by-step explanation:

solution.

if variable d increases then w reduces

w=k.u ×1/d

=ku/d

therefore w=k.u/d

Select the correct answer from each drop-down menu. Gino is buying wood screws at the corner hardware store. The table shows different numbers of bags of screws and their corresponding prices. Bags of Screws Price ($) 2 10 4 20 7 35 According to the table, the relationship between the number of bags and the price is proportional or not proportional

Answers

Without the table I will guess 5 is common to all 3 they are proportional

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) g(y) = y − 5 y2 − 3y + 15

Answers

Answer:

0, 10

Step-by-step explanation:

The given function is:

[tex]g(y) = \frac{y-5}{y^2-3y+15}[/tex]

According to the quotient rule:

[tex]d(\frac{f(y)}{h(y)}) = \frac{f(y)*h'(y)-h(y)*f'(y)}{h^2(y)}[/tex]

Applying the quotient rule:

[tex]g(y) = \frac{y-5}{y^2-3y+15}\\g'(y)=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}[/tex]

The values for which g'(y) are zero are the critical points:

[tex]g'(y)=0=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}\\(y-5)*(2y-3)-(y^2-3y+15)=0\\2y^2-3y-10y+15-y^2+3y-15\\y^2-10y=0\\y=\frac{10\pm \sqrt 100}{2}\\y_1=\frac{10-10}{2}= 0\\y_2=\frac{10+10}{2}=10[/tex]

The critical values are y = 0 and y = 10.

If the density of an object is 8 g/cm³, and the mass is 200M m g. What is the volume of the object?

Answers

Answer:

Step-by-step explanation:

the mass is 2000 mg, or 2 g.

the density is 8 g/cm^3

divide 2 by 8

0.25 cm^3

if this helped, mark as brainliest :)

What is invariant under a dilation?

Answers

Answer:

pls look at photo attached

PLEASE HELP ASAP DUE IN 10 MINUTES PLEASE!!!!!!!!!!!!!The president of the United States produces a new national plan to reduce water pollution which of these would most likely provide the revenue to pay for this new public service

Answers

Answer

i think its federal income tax increase. 2nd one i believe

Step-by-step explanation:

The President of the United States proposes a new national plan to reduce water pollution.

Which of these would most likely provide the revenue to pay for this new public service?

Step-by-step explanation:

answer is :

the united states senate passes a bill that increases the federal income tax rate , which then pays for the service read it b4 yhu answer your question.have a good day!!and DM meh if yhu need a question answer here for 24/7pls if yhu want to mark meh as brainlist.....

Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10). Match each quadrilateral, described by its vertices, to the sequence of transformations that will show it is congruent to quadrilateral JKLM. W(5,1), X(1,7), Y(9,9), and Z(11,7) O(10,1), P(6,7), Q(14,9), and R(16,7) S(4, 16), T(10, 20), U(12, 12), and V(10, 10) A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10) E(5,6), F(1,12), G(9,14), and H(11,12) a translation 2 units right and 3 units down arrowRight a translation 3 units left and 2 units up arrowRight a translation 3 units down and 3 units left arrowRight a sequence of reflections across the x- and y-axes, in any order arrowRight

Answers

Answer:

See Explanation

Step-by-step explanation:

Given:

Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).

(a)If we translate  quadrilateral JKLM 3 units down and 3 units left:

(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)

Therefore, we match it with: A translation 3 units down and 3 units left

(b)If we translate  quadrilateral JKLM 2 units right and 3 units down:

(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)

Therefore, we match it with:A translation 2 units right and 3 units down

S(4, 16), T(10, 20), U(12, 12), and V(10, 10)

(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:

A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)

(d)If we translate  quadrilateral JKLM 3 units left and 2 units up:

(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)

Therefore, we match it with: A translation 3 units left and 2 units up

(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)

No suitable transformation is found from JKLM to STUV.

Answer:

a translation 3 units down and 3 units left

W(5,1), X(1,7), Y(9,9), and Z(11,7)

a translation 2 units right and 3 units down

O(10,1), P(6,7), Q(14,9), and R(16,7)

a sequence of reflections across the

x- and y-axes, in any order

S(4, 16), T(10, 20), U(12, 12), and V(10, 10)

a translation 3 units left and 2 units up

E(5,6), F(1,12), G(9,14), and H(11,12)

Other Questions
i need help with this please The question is on the screenshot. Please help? In a random sample of 64 people, 48 are classified as "successful." If the population proportion is 0.70, determine the standard error of the proportion. Which statement best explains how the Internet affected newspapers and magazines? Internet use is unrelated to newspapers and magazines, so it had little effect on those publications. Internet use promotes reading, so it positively affected newspaper and magazine subscriptions. Readers for online news sources and magazines increased, which boosted print publications. Readers for online news sources and magazines grew, but the readership for print publications shrank. Find the area of the shaded polygon Theres no measurements, use square unit. One square is 1 the quwwat ul islam complex in delhi illustratesthe mix of hindu and muslim influencesin indian architecture .while the Ann wants to download Adobe Acrobat software from the Internet. Prior to downloading, a standardized online contract appears on the screen that requires her to click on an icon indicating agreement, before she can proceed in the program. Such contracts are called: Which revision would help expand the ideas in this passage?Rainsford needs control of his emotions to overcome his largest conflict, General Zaroff..... A grandfather wants to know the average height of all his grandchildren. He finds that the heights of his 9 grandchildren are given in inches by 63,71,60,59,74,60,60,75,58. Betty has several of the standard six-sided dice that are common in many board games. If Betty rolls one of these dice, what is the probability that: She rolls a three. (enter the answer as a percent rounded to the nearest tenth as needed) The points in a plane in a fixed distance from a given pointis called a circle. What is the fixed distance called?a. chordb. radiusc. diameterd. not given Contracts are a form of private law because the terms contained within a contract bind the relevant parties, not the public as a whole.a) trueb) false Which of the following is a good way to back up your computer?Handwritten notesjpegsExternal hard drivesDuplicate files According to the dictionary, -ment can refer to an action, a place, or a state resulting from an action. This definition is useful to know because -ment functions as a a. suffix. b. verb. c. prefix. d. root. (One option only) You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately = 58.2 =58.2. You would like to be 99% confident that your estimate is within 1 of the true population mean. How large of a sample size is required? Do not round mid-calculation. Each of the following factors affects the weighted average cost of capital (WACC) equation. Which are factors that a firm cannot control? Check all that apply. The firms capital budgeting decision rules Tax rates The general level of stock prices The firms capital structure Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduation trip to Canadas Wonderland. The students will spend one full day at the park and return late that evening. The school has rented a bus for transportation. The entry fee into the park is $50 and the bus costs $600. Write an equation to relate the cost, C, in dollars to the number of student, s, who participate in this fun trip. Which of the forms of psychotherapy discussed so far would probably work best for a client who has commitment issues in relationships? Why? Compare the two functions. [tex]f(x) = \frac{1}{50} (3)^x[/tex] [tex]g(x) = \frac{1}{5} x^{2}[/tex] Which statement is true? The area of a rectangular horse pasture is 268,500 square yards. The length of the pasture is 5 yards less than three times the width. What is the width of the pasture in yards? Do not include units in your answer. Please help right away! Thank you very much!