Write the equation of the circle with the given information.
Center: (5, -13)
Radius: 11

Answers

Answer 1

Answer:

(x - 5)² + (y + 13)² = 121

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (5, - 13 ) and r = 11 , then

(x - 5)² + (y - (- 13))² = 11² , that is

(x - 5)² + (y + 13)² = 121


Related Questions

Which set of numbers is ordered from least to greatest?

Answers

Answer:

B.3.2 ,3.317 ,3.606 ,3.61.

Step-by-step explanation:

i guess that is the answer,but if it isn't tell me I may try it again.good day.

What is volume of cube 3 2/3 all sides

Answers

The answer is 3 I think if not I’m so sorry

This recipe makes 6 portions of chocolate mousse.
Cali has 600 g chocolate, 36 eggs, 100 mL of lemon juice and 200 g of sugar.
Cali makes 12 portions of mousse by following this recipe.
How much of each ingredient will she have left?

Recipe: Serves 6
180 g chocolate
9 eggs
15 mL lemon juice
60 g sugar

Answers

Answer:

240 g chocolate

18 eggs

70 mL lemon juice

80 g sugar

Step-by-step explanation:

600 g choc - (2 x 180) = 240 g left

36 eggs - (2 x 9) = 18 left

100 mL lemon - (2 x 15) = 70 mL left

200 g sugar - (2 x 60) = 80 g left

Answer:

Ingredients will have left

Chocolate

600 - 2*180 = 240 g

Eggs

36 - 2*9 = 18

Lemon juice

100 - 2*15 = 70 ml

Sugar

200 - 2*60 = 80 g

What is the simplest form of 1/6 divided by 2

Answers

Answer:

1/12

hope this helps

have a good day :)

Step-by-step explanation:

The solution is 1/12 , is the simplest form of 1/6 divided by 2.

What is division?

Division is the process of splitting a number or an amount into equal parts.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

1/6 divided by 2

i.e. 1/6÷ 2

=1/6* 1/2

=1/12

Hence, The solution is 1/12 , is the simplest form of 1/6 divided by 2.

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a slice of a right square pyramid perpendicular to its base but not through its top vertex

A. Square

B. Trapezoid

Answers

Answer:

This is a trapezoid.

Step-by-step explanation:

Trapezoid because the step by step explanation

Let's say you have a 4 gallon and a 10 gallon pailHow can you measure exactly 2 gallons of water?

Answers

You can fill the 10 gallon pail all the way up. After that, you can pour the water from the 10 gallon pail, into the 4 gallon pail 2 times. That will leave you with 2 gallons in the 10 gallon pail.

David’s watch broke. He decides to get it fixed instead of replacing it. The total cost to repair the watch can be represented by 0.07(45h) + 45h, where h represents the number of hours it takes to repair the watch. What part of the expression represents the amount of tax David has to pay? Explain.

Answers

0.07

45h represents how much it costs per hour to get it fixed and how long it takes to get it fixed
0.07(45h) would represent the tax because it is 7% of the cost pretax

A ball is tossed into the air. The quadratic function
h(t) = -16t2 + 14t + 5 represents the situation, where t
represents the time, in seconds, after the ball is tossed
and h(t) represents the height of the ball, in feet. Which
of the following statements is NOT true?

Answers

Answer: The leading coefficient indicates that the graph of the parabola that represents the ball’s height over time will open in an upward direction

Step-by-step explanation:

In the year 2009, a company made $5.4 million in profit. For each consecutive year after that, their profit increased by 11%. How much would the company's profit be in the year 2012, to the nearest tenth of a million dollars?​

Answers

Answer:

Hi Grif05!

Your answer is 7.1 million.

To be exact , 7182000

Step-by-step explanation:

The distance between 2009 and 2012 is 3 years so we multiply.

11x3=33.

Now we must find 33% of 5.4 million.

33 % of 5.4 million is 1782000.

33% of 5400000 = 1782000

We then add 33% of 5.4 million to itself.

We get an answer of 7182000.

Hope this helps! Tell me if I'm wrong please :)

Several hours after departure the two ships described to the right are 50 miles apart. If the ship traveling south traveled 10 miles farther that the other how many miles did they each travel.

Answers

Answer:

[tex]Ship\ A = 40\ miles[/tex]

[tex]Ship\ B = 30\ miles[/tex]

Step-by-step explanation:

Given

[tex]d = 50[/tex] --- distance apart

[tex]Ship\ B = x[/tex]

[tex]Ship\ A = x + 10[/tex]

The question can be represented with the attached image.

Required

Solve for x

Using Pythagoras theorem, we have:

[tex]x^2 + (x + 10)^2 = 50^2[/tex]

Open bracket

[tex]x^2 + x^2 + 20x + 100 = 2500[/tex]

Collect like terms

[tex]x^2 + x^2 + 20x + 100 - 2500 = 0[/tex]

[tex]2x^2 + 20x -2400 = 0[/tex]

Divide through by 2

[tex]x^2 + 10x -1200 = 0[/tex]

Expand

[tex]x^2 + 40x - 30x -1200 = 0[/tex]

Factorize

[tex]x(x + 40) - 30(x +40) = 0[/tex]

Factor out x + 40

[tex](x - 30)(x +40) = 0[/tex]

Split and solve for x

[tex]x - 30 = 0\ or\ x + 40 = 0[/tex]

[tex]x = 30\ or\ x = -40[/tex]

Distance can not be negative

So:

[tex]x = 30[/tex]

Recall that:

[tex]Ship\ B = x[/tex]

[tex]Ship\ A = x + 10[/tex]

This implies that:

[tex]Ship\ B = 30\ miles[/tex]

[tex]Ship\ A = 30 + 10\ miles[/tex]

[tex]Ship\ A = 40\ miles[/tex]

УА
8
Н
7
E
6
K
5
4
F
3
G
2
1
0
0 1 2 3 4 5 6 7 8 X

Answers

H:0,7
J:1,0
F:3,3
E:5,7
G:7,2
K:8,5

Hillside Travel pays its employees $16 per hour plus 8% commission on all trips booked. Tyrus worked 20 hours last week and booked trips amounting to $2,100. What was his gross pay for last week? fill in the blank 1

Answers

Answer:

$368

Step-by-step explanation:

His gross pay was $368 for last week.

What is the commission?

The commission is determined by the product of the commission rate and the total sales.

Commission = Commission rate x Total sales

As per the question, we have data :

Hourly rate $10

Commission rate =8%

Number of hours worked-20

Total sales $2,100

The gross pay is the product of the hourly rate and the number of hours worked.

Gross pay Hourly rate × Number of hours worked

= $10 × 20

= $200

We know that,

Commission = Commission rate x Total sales

= 8% x $2,100

= 0.08 x $2,100

= $168

The total pay is then the gross pay increased by the commission:

Total pay = Gross pay + Commission

Total pay = $200+ $168

Total pay = $368

To learn more about the commission click here:

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Expand and simplify 3(y+2)+4(x-1)

Answers

Answer:

4x + 3y + 2

Step-by-step explanation:

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

3y + 6 + 4x - 4

4x + 3y + 2


Ice cream: A certain ice cream parlor offers fifteen flavors of ice cream. You want an ice cream cone with three scoops of ice cream, all different flavors.
Part 1 of 2
In how many ways can you choose a cone if it matters which flavor is on top, which is in the middle and which is on the bottom?
de
The number of ways to choose a cone, if order matters, is

Answers

Answer:

The number of ways to choose a cone, if order matters, is 45.

Step-by-step explanation:

Given that a certain ice cream parlor offers fifteen flavors of ice cream, and you want an ice cream cone with three scoops of ice cream, all different flavors, to determine in how many ways you can choose a cone if it matters which flavor is on. top, which is in the middle and which is on the bottom, the following calculation must be performed:

15 x 3 = X

45 = X

The number of ways to choose a cone, if order matters, is 45.

Does anyone know the answer to this?

Answers

Answer:

x=18 and y=106

Step-by-step explanation:

Round 367.25 to the nearest 100th of a second

Answers

The answer is 367.25 it is already turned into the nearest 100th

Which one is the missing number?

Answers

Answer:

Step-by-step explanation:

1 or 4 im not sure

It is +0. Look at the first term. 1x28 is 28, and you already know it has to be times 28z

Sunny Horizon Cellular’s phone plan has a monthly fee of $10.00 and charges $0.10 for every minute used. Stephan’s bill for the month was $23.80. If the equation that models this situation is (0.10)m + 10.00 = 23.80, use inverse operations and properties of equality to find the number of minutes Stephan talked during the month.

Answers

(0.10)m +10.00 = 23.80
0.10m = 13.80
m=13.80/0.10
m = 138 minutes

Answer:

She talked for 138 minutes

Step-by-step explanation:

At Gabrielle's Restaurant, 2/5 of the dishes on the menu are vegetarian, or the vegetarian
dishes, 3/4 are pasta dishes. What fraction of the dishes on the menu are vegetarian pasta
dishes?

Answers

Start by multiplying the fractions to see compound probability 2/5 * 3/4 = 6/20,
Then simplify... answer: 3/10

Becca and Kimberly are running at a constant speed in a marathon. Becca runs at 4.5 miles per hour. Kimberly’s progress is shown in the table.

Part A: Who runs faster?

Part B: If Becca and Kimberly are 5 hours into a marathon, how far has each run?

Answers

Answer:

Part A: Kimberly

Part B:

Becca = 22.5 miles, Kimberly = 25 miles

Step-by-step explanation:

Part A:

Given that Becca runs at a constant speed of 4.5 miles per hour, use the table to find the constant speed that Kimberly runs, and compare who runs faster.

Let x = time

y = distance

k = speed = y/x

Equation for each person can be written as: y = kx

Therefore:

✔️Equation for Becca if k = 4.5

y = 4.5x

✔️Find k (speed) of Kimberly using (2, 10):

Speed (k) = y/x

k = 10/2

k = 5 miles per hour

Equation for Kimberly would be:

y = 5x

Comparing their speed, Kimberly runs faster because she covers more miles per hour than Becca does.

Part B:

For Becca, substitute x = 5 into Becca's equation, y = 4.5x

Thus:

y = 4.5*5 = 22.5 miles

For Kimberly, substitute x = 5 into Kimberly's equation, y = 5x

Thus:

y = 5*5 = 25 miles

Refer to the table below to answer problems 25-27.

(TABLE) Mark's Personal Running Records Distance Time (minutes:seconds)
1/4 mile: 0:58
1/2 mile: 2:12
1 mile: 5:00

If Mark set his 1-mile record by keeping a steady pace, then what was his 1/2 -mile time during the 1-mile run? ​

Answers

Answer:

it will be 2:50

Step-by-step explanation:

Measuring your fitness level regularly is one way to find out if you're making progress. Most fitness centers have trained staff who can evaluate your body composition, muscular strength and endurance, flexibility, and cardiovascular endurance, but it can be pricey. If you don’t have access to all the toys and tools of your gym, don’t panic. You have everything you need to measure your fitness level in your own house!

This One-Mile Walking Test measures your aerobic (cardiovascular) fitness level based on how quickly you are able to walk a mile at a submaximal (moderate) exercise intensity.

The sum of 2 numbers is 11 and the difference is 5

Answers

Answer:

let no. be x and y.

we have

x+y=11.......(1)

x-y=5........(2)

adding equation 1&2

x+y+x-y=11+5

2x=16

x=16/2=8

again

8-y=5

y=8-5=3

:.

x=8,y=3

The lifetime of a certain type of calculators is normally distributed. If the mean is 400 hours and the standard deviation is 50 hours, for a group of 5000 batteries, how many are expected to last
1.between 350 hrs to 450 hours
2.more than 300 hours
3.less than 300 hours

Answers

Answer:

1. 3413

2. 4886

3. 114

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean is 400 hours and the standard deviation is 50 hours

This means that [tex]\mu = 400, \sigma = 50[/tex]

1. Between 350 and 450 hours:

The proportion is the pvlaue of Z when X = 450 subtracted by the pvalue of Z when X = 350.

X = 450:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{450 - 400}{50}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413.

X = 350:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{350 - 400}{50}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587.

0.8413 - 0.1587 = 0.6826

Out of 5000:

0.6826 out of 5000. So

0.6826*5000 = 3413

3413 are expected to last between 350 hours and 450 hours.

2.more than 300 hours

The proportion is one subtracted by the pvalue of Z when X = 300.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{300 - 400}{50}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

1 - 0.0228 = 0.9772

Out of 5000:

0.9772of 5000 is

0.9772*5000 = 4886

4886 are expected to last more than 300 hours.

3.less than 300 hours

4886 are expected to last more than 300 hours, so 5000 - 4886 = 114 are expected to last less than 300 hours.

A development expert wants to use a one-sample z interval to estimate the proportion of women aged 16 and over that are literate in Albania. They take an SRS of 50 women from this population and find that 48 are literate.
Which conditions for constructing this confidence interval did their sample meet?

Answers

Answer: The data is a random sample from the population of interest. Individual observations can be considered independent.

Step-by-step explanation:

The condition for constructing this confidence interval :

A) The data is a random sample from the population of interest.

C) Individual observations can be considered independent.

The correct options are A and C.

What is a confidence interval?

A confidence interval is a range of values that are constrained by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.

Given:

A development expert wants to use a one-sample z interval to estimate the proportion of women aged 16 and over that are literate in Albania. They take an SRS of 50 women from this population and find that 48 are literate.

From the given choices:

The condition for constructing this confidence interval :

A) The data is a random sample from the population of interest.

C) Individual observations can be considered independent.

Therefore, A and C are the correct options.

To learn more about the confidence interval;

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The complete question:

A development expert wants to use a one-sample zzz interval to estimate the proportion of women aged 16 and over that are literate in Albania. They take an

SRS of 50 women from this population and finds that 48 are literate.

Which conditions for constructing this confidence interval did their sample meet?

Choose all answers that apply:

A

The data is a random sample from the population of interest.

B

The observed counts of successes and failures are both sufficiently large.

C

Individual observations can be considered independent.

Sally's bank account had a balance of 230 at the beginning of the month. She had two deposits of 50 and 420 and just one withdrawal of 190. Her balance at the end of the month was $______ ?

Answers

Answer:

510

Step-by-step explanation:

Sally bank account had a beginning balance of 230

She made two deposits of 50 and 420

50+420

= 470

She made a withdrawal of 190

Therefore her balance at the end of the month can be calculated as follows

470+230

= 700

= 700-190

= 510

Hence the balance at the end of the month is 510

answer this asap I'm desperate :( ...we both were sweating like two pigs" is an example of...
allusion
metaphor
hyperbole
simile

Answers

Answer:

sorry

Step-by-step explanation:

don't know I m in 8th

I will surely help you

Answer:

Simile

Step-by-step explanation:

A simile is a figure of speech that directly compares two things. Similes differ from other metaphors by highlighting the similarities between two things using comparison words such as "like", "as", "so", or " than", while other metaphors create an implicit comparison.

Hope this helps! If you have any questions revolving around this topic,feel free to ask me and I will be happy to help!

Please help me but no links

Answers

Answer:

I think you got to time it all togther and the answer would be 531.44m^3

Step-by-step explanation:

(5.2×7×14.6)mmm

(36.4×14.6)mmm

531.44m^3

Function f is differentiable and decreasing for all real numbers. If y=f(2x^3 - 3x^2), for which of the following intervals of x will the value of y NOT be decreasing?​

Answers

Answer:

The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.

Find the volume of a pyramid with a square base, where the perimeter of the base is 16.1 ft and the height of the pyramid is 12.1 ft. Round your answer to the nearest tenth of a cubic foot?

Answers

Answer: V= 65.3 ft^3

PLZZZZ HELP MIDDLE SCHOOL MATHHH I PROMISE I WILL GIVE BRAINLIEST!!!​

Answers

Answer:

It's C

Step-by-step explanation:

Because it says to look for the number 5 on the chart and chart C is the only one that has is on there. Hope this helped!

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