in an inverse variation, x=2 when y=-4. what is the value of y when x=16

Answers

Answer 1

Answer:

y = -1/2

Step-by-step explanation:

Use the inverse variation equation, y = [tex]\frac{k}{x}[/tex]

Plug in 2 as x and -4 as y, then solve for k:

y = [tex]\frac{k}{x}[/tex]

-4 = [tex]\frac{k}{2}[/tex]

-8 = k

So, the equation is y = [tex]\frac{-8}{x}[/tex]

Plug in 16 as x and solve for y:

y = [tex]\frac{-8}{x}[/tex]

y = [tex]\frac{-8}{16}[/tex]

y = -1/2

So, when x = 16, y = -1/2


Related Questions

find the probability that leap year, selected at random, will contain 53 Sundays.​

Answers

Answer:

the answer is Hence, a leap year has 52 Sundays

Step-by-step explanation:

I hope this helps

A sample of 64 observations has been selected to test whether the population mean is smaller than 15. The sample showed an average of 14.5 and a standard deviation of 4.7. You want to test this hypothesis at 95% level of confidence using the critical value approach. First, compute the critical value and the test statistics associated with this test. Second, compute the difference between the test statistic and the critical value (test statistic - critical value). What is this difference

Answers

Answer:

Test statistic = - 0.851063

- 2.520463

Step-by-step explanation:

H0 : μ ≥ 15

H1 : μ < 15

Sample mean, xbar = 14.5

Sample standard deviation, s = 4.7

Sample size = 64

Teat statistic :

(xbar - μ) ÷ (s/√(n))

(14.5 - 15) ÷ (4.7/√(64))

= - 0.851063

The critical value at α = 0.05

Using the T - distribution :

Degree of freedom, df = 64 - 1 = 63

Tcritical(0.05, 63) = 1.6694

Test statistic - critical value

-0.851063 - 1.6694

= - 2.520463

The spinner shown is spun 10 times.


What is the probability that the spinner will land in the
blue area exactly 5 times

Answers

Answer:

25%

Step-by-step explanation:

A velocity vector has a magnitude of 137 miles per hour and a direction angle of 235º.

What is the y-component of the vector?

Answers

9514 1404 393

Answer:

CW from north: -78.58 mphCCW from +x: -112.2 mph

Step-by-step explanation:

A couple of different references are used when talking about angles in the x-y coordinate plane. Conventionally, angles are measured CCW from the +x axis of the plane. This is the reference usually used in physics problems involving acceleration, velocity, and displacement.

If the angles refer to bearings on a map, the usual mapping is north = +y, east = +x, and angles are measured CW from north. This is the reference usually used in (flat earth) navigation problems involving airspeed and ground speed.

We cannot tell the intended meaning of "direction angle" here, hence there are two answers. Take your choice.

__

If the angle is measured counterclockwise from the +x direction, the (x, y) coordinates of the vector (137; 235°) are ...

  (x, y) = 137(cos(235°), sin(235°))

  (x, y) = (-78.58, -112.22)

The y-component is -112.22 miles per hour.

__

If the "direction angle" is a bearing measured clockwise from the +y direction, then the x- and y-coordinates are swapped from those listed above.

  (x, y) = (-112.22, -78.58)

The y-component is -78.58 miles per hour.

_____

Additional comment

We say this is "flat earth" navigation because any serious navigation calculation must take into account the Earth's curvature. A path that follows a great circle will not have a constant compass bearing except along the equator or a longitude line.

x plus 1 > 3

The souliton is

Answers

Answer:

x > 2

Step-by-step explanation:

x + 1 > 3

Subtract 1 from both sides

x + 1 - 1 > 3 - 1

x > 2

The price of a computer tablet is $78.00 plus 7% sales tax. What is the sales tax on this computer tablet in dollars and cents?
I NEED THE ANSWER BY 11:55

Answers

Answer: The tax is calculated by 0.075 * 21.25 = 1.59375 or $1.59. So the total bill is the cost of items purchased plus tax, which is $21.25 + $1.59 = $22.84.

Step-by-step explanation:

can u mark Brainliest

The answer is 5.46..................

Could someone help me please?

Answers

Answer:

1150 sq cm.

Step-by-step explanation:

22*45+20*8= 1150 sq cm.

Answer: 1150 cm^2

Step-by-step explanation:

find the area of the rectangle above the dotted line and the area of the one below the dotted line, then add those areas together

so for the rectangle above the area would be 22 * 45 = 990 cm^2

for the lower one the area is 20 * 8 = 160 cm ^2

now add those two together

990 + 160 = 1150

so the total area of the figure would be 1150 cm^2

hope this helped :))

Lincoln High School has 78 seniors, 116 juniors, 119 sophomores, and 107 freshmen. Three student names are chosen randomly without replacement. What is the probability of, without replacement, a senior being chosen first, followed by a sophomore, and followed by a junior?

Answers

Answer:

11/320

Step-by-step explanation:

the probability of a senior being chose first is 22 (seniors) divided my total number of students (80) is .275 percent.

multiplied by the probability of a sophomore being chosen 10/80 which equals .125.

multiply those together and you get your probability. 0.034375 or 11/320

What is the critical value t* which satisfies the condition that the t distribution with 14 degrees of freedom has probability 0.35 to the right of t*

Answers

Answer:

[tex]t_{0.35,14}= 0.3933306[/tex]

Step-by-step explanation:

From the question we are told that:

Degree of freedom [tex]df=14[/tex]

Significance Level [tex]\alpha=0.35[/tex]

Generally the expression for critical value t is mathematically given by

  [tex]t_{\alpha,df}[/tex]

  [tex]t_{0.35,14}[/tex]

Therefore From Students T Value Table

 [tex]t_{0.35,14}= 0.3933306[/tex]

 [tex]T-Value (right-tailed): 0.3933306[/tex]

plz help it is kind of easy i will give alot of points to anyone that knows the answers​

Answers

I am pretty sure it is answer B which is 26 because it is the most popular one

B. 26 years

i think..

For each function, state whether it is linear, quadratic, or exponential.

Answers

Answer:

Function 1: exponential

Function 2: exponential

Function 3: quadratic

Step-by-step explanation:

I used a graphing calculator.

Hope this helps:)

Simplify 17.6L:20800 ml

Answers

Answer:

x = 10

5x + 4x = 909x = 909x/9 = 90/9x = 10

Step-by-step explanation:

17.6L:20.8L is that the answer you wanted?

The difference of x and y is the same as 3 times the sum of x and 2

Answers

Answer:

x - y = 3(x + 2)

x - y = 3x + 6 is the simplified answer and is also correct

Step-by-step explanation:

The difference of x and y is the same as 3 times the sum of x and 2

x - y = 3(x + 2)

x - y = 3x + 6

Answer:

spoke out of term and with no true option.

What is the area of the shape.​

Answers

34 square feet

Explanation:
Cut the shape into two shapes. The bottom will be a square and the top will be a long rectangle.

The area of the rectangle is 18 square feet
(Multiply 9 x 2)

The area of the square is 16 square feet
(Multiply 4 x4)

18 + 16 = 34

MARK BRAINLIESTT
Please! And thank u, trust me, this is the answer

A bike path is 5 3/4 miles long. the city makes it 3 1/2 times longer. what is the length of the completed bike path?

Answers

Answer:d

Step-by-step explanation:

Trust me

please find the value of X for number 4 5 and 6 thank you :)

Answers

Answer:

4. x = 6

5. x = 31

6. x = 34

Step-by-step explanation:

4. vertical angles

- 36/6 = 6

5. supplementary angles

180 - 56 = 124

124/4 = 31

6. complementary angle

90 - 22 = 68

68/2 = 34

Answer:

4. x = 6°

5. x = 31°

6. x = 34°

Step-by-step explanation:

4. Vertical Angles theorem states that the two opposite angles formed by 2 intersecting lines are congruent.

6x = 36°

x = 36 / 6

x = 6°

5.

180° - 56° = 4x

124° = 4x

x = 31°

6.

90° - 22° = 2x

68° = 2x

x = 34°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Simplify: 7x + 5y - 6x - y
A. x + 5
B. x + 4y
C. 13x + 5
D. 13x + 6y

Answers

the answer would be B.x+4y

Answer:

x+4y

Step-by-step explanation:

The average zinc concentration recovered from a sample of measurements taken in 36 different locations in a river is found to be 2.6 grams per milliliter. Find the 95% and 99% confidence intervals for the mean zinc concentration in the river. Assume that the population standard deviation is 0.3 gram per milliliter.

Answers

Answer:

The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.

The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.

Step-by-step explanation:

95% confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{2.6}{\sqrt{36}}[/tex]

[tex]M = 0.85[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 0.85 = 1.75 grams per milliliter.

The upper end of the interval is the sample mean added to M. So it is 2.6 + 0.85 = 3.45 grams per milliliter.

The 95% confidence interval for the mean zinc concentration in the river is between 1.75 and 3.45 grams per milliliter.

99% confidence level:

By the same logic as for the 95% confidence interval, we have that [tex]Z = 2.575[/tex]. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 2.575\frac{2.6}{\sqrt{36}}[/tex]

[tex]M = 1.12[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2.6 - 1.12 = 1.48 grams per milliliter.

The upper end of the interval is the sample mean added to M. So it is 2.6 + 1.12 = 3.72 grams per milliliter.

The 99% confidence interval for the mean zinc concentration in the river is between 1.48 and 3.72 grams per milliliter.

Cassie is going to dinner and a movie with some friends. The movie starts at 7:30 p.m. The restaurant
is 15 minutes from the theater, and dinner will take one hour. If Cassie
lives 20 minutes from the restaurant, what time should she leave her house?

Answers

Answer:5:55pm

Step-by-step explanation:

7:30-0:20=7:10-1:00=6:10-0:15=5:55pm

If f(x)= 1/x+2 and a>3, which of the following could be f(a)
A =1/2
B = 1/3
C = 1/4
D = 1/6

Answers

The equivalent value of the function is f ( a ) = ( 1/6 ) , when a > 3

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1 / ( x + 2 )

Now , the value of x > 3

So , the value of f ( x ) = f ( a )

And , when x > 3

f ( 4 ) = 1 / ( 4 + 2 )

f ( 4 ) = 1 / 6

Hence , the function is f ( 4 ) = 1 / 6

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ1

A manufacturer of flashlight batteries took a sample of 130 batteries from a day's production and used them continuously until they were drained. The number of hours until failure were recorded. Given below is the boxplot of the number of hours it took to drain each of the 130 batteries. The distribution of the number of hours is

Answers

Answer:

Left skewed

Step-by-step explanation:

The distribution displayed in the boxplot Given is negatively skewed, hence, a left tail skweness. Skewness can be determined in a box plot, if the line of the median cuts or divides the box into unequal halves, such that sides relative to the median are longer Than each other. If the longer side is to the left of the median, we have left skewness; to the right we have right skewness. If the sides are equal, then the distribution is symmetric.

For the scenario above, the longwr side is to the left of the median, hence we have left skewness.

Plz help me well mark brainliest if correct................?

Answers

Answer:

B. 8cm*12cm

Step-by-step explanation:

Area is the product of the two sides:

6*16 = 96

8*12 = 96

10*10 = 100

Perimeter is the sum of all four sides:

6+16+6+16 = 44

8+12+8+12 = 40

The answer is B. 8cm*12cm

It’s B 8x12 is equal to 96

What is the measure of 4? Please and thank you :)

Answers

Answer:

[tex]\angle 2 = 48[/tex]

Step-by-step explanation:

Given

[tex]\angle 1 = 48[/tex]

Required

Find [tex]\angle 2[/tex]

[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertically opposite angles.

So:

[tex]\angle 2 = \angle 1[/tex]

Substitute [tex]\angle 1 = 48[/tex]

[tex]\angle 2 = 48[/tex]

You have just gotten your first job. You have decided you want to take your parents out for dinner to celebrate and you have anticipated it will cost approximately $120 for the three of you to go out for dinner. At your job, you make an hourly wage of $11. How many hours would you need to work to pay for the dinner? What if you wanted to add a 15% tip? Could your strategy also allow you to find out how much money you made for any number of hours?

Answers

Answer:

I will have to work 11 hours to take my parents to a $ 120 cost dinner, and I will have $ 1 left in return.

If I wanted to tip 15%, I would have to work 13 hours and have $ 5 left over.

In turn, to determine the money generated from an indeterminate number of hours worked, the applicable formula would be 11X = Y, where Y is the money generated and X is the number of hours worked.

Step-by-step explanation:

Since I have just gotten my first job, and I have decided I want to take my parents out for dinner to celebrate and I have anticipated it will cost approximately $ 120 for the three of us to go out for dinner, and at my job, I make an hourly wage of $ 11, to determine how many hours would I need to work to pay for the dinner, and what if I wanted to add a 15% tip, and determine if my strategy could also allow me to find out how much money and or made for any number of hours, the following calculations must be performed:

120/11 = X

10.9 = X

11 x 11 = 121

Therefore, I will have to work 11 hours to take my parents to a $ 120 cost dinner, and I will have $ 1 left in return.

(120 x 1.15) / 11 = X

138/11 = X

12.54 = X

11 x 13 = 143

Therefore, if I wanted to tip 15%, I would have to work 13 hours and have $ 5 left over.

In turn, to determine the money generated from an indeterminate number of hours worked, the applicable formula would be 11X = Y, where Y is the money generated and X is the number of hours worked.

A pack of 4 chocolate bars costs £1.20
What is the price per unit?



what is it?

Answers

Answer:

0.30 you divided the total by the number of units which is 4

Answer:

£ 0.3

Step-by-step explanation:

Given that , a pack of 4 chocolates costs £1.20. We need to find cost of one chocolate .

We can simply use Unitary Method here ,as ,

=> 4 chocolates costs £1.20 .

=> 1 chocolate will cost £1.20/4 = £ 0.3

Hence the cost of unit is £ 0.3

help fast please!!!!!!

Answers

Answer:

75

Step-by-step explanation:

7.5 x 5 = 37.5

1/2:1

37.5:74

Also, I did it :D

Yes 75 is the correct answer for this problem

A recent survey by nerdwallet indicated Americans paid a mean of $6,658 interest on credit card debt in 2017. A sample of 12 households with children revealed the following amounts. 7,077 5,744 6,753 7,381 7,625 6,636 7,164 7,348 8,060 5,848 9,275 7,052 Click here for the Excel Data File State the null hypothesis and the alternate hypothesis. State the decision rule for 0.05 significance level. (Round your answer to 3 decimal places.) Compute the value of the test statistic. (Round your answer to 3 decimal places.) Is it reasonable to conclude that these households paid more interest than the survey result

Answers

Answer:

The null hypothesis is [tex]H_0: \mu = 6658[/tex]

Tha alternate hypothesis is [tex]H_a: \mu > 6658[/tex]

The decision rule is that if [tex]t < 1.976[/tex], the null hypothesis is not rejected, that is, there is no evidence to conclude that these households paid more interest than the survey result, and that if [tex]t > 1.976[/tex], the null hypothesis is reject and there is evidence to conclude that these households paid more interest than the survey result.

The test statistic is [tex]t = 1.94[/tex]

As the test statistic of [tex]t = 1.94[/tex] is higher than the critical value of t, it is reasonable to conclude that these households paid more interest than the survey result

Step-by-step explanation:

A recent survey by nerdwallet indicated Americans paid a mean of $6,658 interest on credit card debt in 2017. Test if it is reasonable to conclude that these households paid more interest than the survey result.

At the null hypothesis, we test if they paid the same, that is:

[tex]H_0: \mu = 6658[/tex]

At the alternate hypothesis, we test if they paid more, that is:

[tex]H_a: \mu > 6658[/tex]

Test statistic:

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

State the decision rule for 0.05 significance level.

Right-tailed test(test if the mean is higher than the value) with 12 - 1 = 11 degrees of freedom, has a critical value of t = 1.976.

So

The decision rule is that if [tex]t < 1.976[/tex], the null hypothesis is not rejected, that is, there is no reasonable evidence to conclude that these households paid more interest than the survey result, and that if [tex]t > 1.976[/tex], the null hypothesis is reject and there is reasonable evidence to conclude that these households paid more interest than the survey result.

6658 is tested at the null hypothesis:

This means that [tex]\mu = 6658[/tex]

Sample mean and standard deviation:

With the given data-set:

Mean of [tex]X = 7163.6[/tex]

Standard deviation of [tex]s = 902.25[/tex]

Sample of 12:

This means that [tex]n = 12[/tex]

Compute the value of the test statistic.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{7163.6 - 6658}{\frac{902.25}{\sqrt{12}}}[/tex]

[tex]t = 1.94[/tex]

As the test statistic of [tex]t = 1.94[/tex] is higher than the critical value of t, it is reasonable to conclude that these households paid more interest than the survey result

Is (x + 2) a factor of x + 6x2 + 3x – 10?

Answers

Answer:

no

Step-by-step explanation:

6x² + 4x - 10 in factored form is:

2(3x+5)(x-1)

Answer:

Assuming that you actually mean that if [tex](x+2)[/tex] is a factor of [tex]x^{3}+6x^{2}+3x-10[/tex], the answer is yes.

Step-by-step explanation:

We need to do long division of the polynomial to figure out if this is true. I would show it here, but it is extremely difficult to do so. (Maybe someone could help me.) When I factor it, it does not leave a remainder, so this is true.

[tex]x^{3}+6x^{2}+3x-10= (x+2)(x^2+4x-5)[/tex]

Another way one could figure this out is by graphing the equation [tex]x^{3}+6x^{2}+3x-10[/tex] on your graphing calculator or on just a graphing website, lake Desmos. The screenshot below shows the graph.

The polynomial will have a factor of [tex](x-c)[/tex] if the point [tex](0,c)[/tex] exists on the graph. The graph has the following three zeroes.

[tex](0,-2)[/tex], [tex](0, -5)[/tex], and [tex](0,1)[/tex]

As such, it has the three factors [tex](x-(-2))[/tex], [tex](x-(-5))[/tex], and [tex](x-1)[/tex].

Since [tex](x-(-2)=(x+2)[/tex], it is a factor of the polynomial.

Is 3.37 less than 3.368

Answers

Answer:

no

Step-by-step explanation:

Answer:

it's not

Step-by-step explanation:

Use the following rectangle to solve for the values of X.

Answers

Answer:

[tex]x = 8.64^o[/tex]

Step-by-step explanation:

Given

The attached rectangle

Required

Find x

To do this, we make use of:

[tex]11x - 5 = 90[/tex] ---- angle at diagonal

Collect like terms

[tex]11x = 5 + 90[/tex]

[tex]11x = 95[/tex]

Solve for x

[tex]x = \frac{95}{11}[/tex]

[tex]x = 8.64^o[/tex] --- approximated

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