**Answer:**

3.87 that should be the answer

The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (14, 3).

**Answer:**

(x-14)^2+(y-3)^2=9

**Step-by-step explanation:**

equation of a circle is (x-h)^2+(y-h)^2=r^2

so center is (14,3) and is tangent externally means

(x-14)^2+(y-3)2=3^2

(x-14)^2+(y-3)^2=9 answer

The ** equation of a circle** is **externally tangent** to the given circle and has a **center** at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]

The **standard formula** for finding the equation of a circle is expressed as:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where

(a, b) is the **centre**

r is the **radius**

Given the center at (14, 3)

If the equation of a **circle **is **externally tangent **to the given circle and has a center at (14, 3), then the radius will be 3

Substitute the radius and the **centre **into the expression above to have:

[tex](x-14)^2 + (y-3)^2=3^2\\(x-14)^2 + (y-3)^2=9[/tex]

Hence the ** equation of a circle** is **externally tangent** to the given circle and has a **center** at (14, 3) is [tex](x-14)^2 + (y-3)^2=9[/tex]

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HELP ME PLEASE I NEED A 80%

**Answer:**

m [slope] = 5/2

**Step-by-step explanation:**

Find two points on the line where they are both integers(Whole numbers, positive or negative). (30,0) and (50,50).

There is a rise of 5 units for every run of 2 units.

(30,0) → (50,50) = (30 + 20, 0 + 50) : (x,y)

m = ∆y/∆x [Change in y over the change in x]

m = 50/20

m = 5/2

An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability that it will not be enough seats to accommodate all passengers. Assume that the probability that a randomly selected passenger shows up to the airport is 0.96. Find the probability using the normal distribution as an approximation to the binomial distribution.

**Answer:**

The probability is [tex]P(X >300 ) = 0.97219 [/tex]

**Step-by-step explanation:**

From the question we are told that

The capacity of an Airliner is k = 300 passengers

The sample size n = 320 passengers

The probability the a randomly selected passenger shows up on to the airport

[tex]p = 0.96[/tex]

Generally the mean is mathematically represented as

[tex]\mu = n* p[/tex]

=> [tex]\mu = 320 * 0.96[/tex]

=> [tex]\mu = 307.2[/tex]

Generally the standard deviation is

[tex]\sigma = \sqrt{n * p * (1 -p ) }[/tex]

=> [tex]\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }[/tex]

=> [tex]\sigma =3.50 [/tex]

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

[tex]P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )[/tex]

Here [tex]\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )[/tex]

=>[tex]P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )[/tex]

Now applying continuity correction we have

[tex]P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )[/tex]

=> [tex]P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )[/tex]

=> [tex]P(X >300 ) = P(Z > -1.914 )[/tex]

From the z-table

[tex]P(Z > -1.914 ) = 0.97219[/tex]

So

[tex]P(X >300 ) = 0.97219 [/tex]

How many edges are there on a cylinder?

**Answer:**

There are 0 number of edges on a cylinder

How do you solve for x?

You would set up a proportion.

20/8 = x/14

Solve, and your answer is x = 35

20/8 = x/14

Solve, and your answer is x = 35

Find atleast 5 numbers between 1/2 and 1/3.

**Answer:**

12.2 12.3 12.4 12.5

**Step-by-step explanation:**

) A watershed experiences a rainfall of 8 inches. What is the runoff volume when the curve number is 80

**Answer:**

**5.625 inches**

**Step-by-step explanation:**

Given that:

Total Rainfall in inches (P) = 8 inches

The runoff volume (in inches) Q = ???

The curve number CN = 80

Recall that: The runoff volume can be calculated by using the formula:

[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex] for P > 0.2S

Q = 0 for P < 0.2S

[tex]S = \dfrac{1000}{CN}-10[/tex]

where:

curve number CN = 80

[tex]S = \dfrac{1000}{80}-10[/tex]

S = 2.5 inches

Since the rainfall (P) is greater than 0.25

Then:

[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex]

[tex]Q = \dfrac{(8-0.2(2.5))^2}{(8+0.8(2.5))}[/tex]

[tex]Q = \dfrac{(8-0.5)^2}{(8+2)}[/tex]

[tex]Q = \dfrac{(7.5)^2}{(10)}[/tex]

[tex]Q = \dfrac{(56.25)}{(10)}[/tex]

Q = **5.625 inches**

Thus, the runoff volume = **5.625 inches**

A light bulb consumes 3450 watt-hours-in 5 days and 18 hours. How many watt-hours does it consume per day

5 days = 5 * 24 = 120 hours

120 + 18 = 138hours

3450/138 * 24 = 600 watt hours

600watt hours <–––––––

120 + 18 = 138hours

3450/138 * 24 = 600 watt hours

600watt hours <–––––––

**Answer:**

5 days = 5 * 24 = 120 hours

120 + 18 = 138hours

3450/138 * 24 = 600 watt hours

600watt hours

FOR EXAMPLE:

Christa and her family went out for pizza and it cost $28. In Tennessee we have a sales tax that is 7% which has to be paid along with $28. What is the sales tax on $28?

7% of 28$ is $1.96. Hope that helps

- You invest $1,000 in a stock market index fund that earns 8% compounded annually overa

10-year period (a simplified example since stock market returns vary year to year). How

much would your investment be worth after this 10-year period?

A. $1,080

B. $1,800

C. $2,000

D. More than $2,000

Answer:

I believe c

Step-by-step explanation:

I believe this because if you invest in stock for ten years as on this paragraph the answer is C

Option D is correct. we worth **more than **$2000 after 10 year period.

percentage, a relative value indicating **hundredth** parts of any quantity.

Given that You **invest** $1,000 in a stock market index fund that earns 8% compounded annually over a 10-year period.

We have to find the **investment** be worth after this 10-year period.

A=P(1+r)ⁿ

P is the initial amount

r is **rate** of interest

n is the **time**

A=1000(1+0.08)¹⁰

A=1000(1.08)¹⁰

A=1000×2.1589

A=2158.9

Hence, option D is correct. we worth **more than** $2000 after 10 year period.

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f(x)=x-5

g(x) = 2x+1

Write the expressions for (f-g)(x) and (f+g)(x) and evaluate (fg)(4).

**Answer:**

(f - g)(x) = -x - 6

(f + g)(x) = 3x - 4

(f*g)(4) = -9

**Step-by-step explanation:**

These are your equations:

f(x) = x - 5

g(x) = 2x + 1

To find (f - g)(x), subtract g(x) from f(x).

(f - g)(x) = x - 5 - (2x + 1)

(f - g)(x) = x - 5 - 2x - 1

(f - g)(x) = -x - 5 - 1

**(f - g)(x) = -x - 6**

To find (f + g)(x), add f(x) with g(x).

(f + g)(x) = x - 5 + 2x + 1

(f + g)(x) = 3x - 5 + 1

**(f + g)(x) = 3x - 4**

To find (f*g)(4), you need to first find (f*g)(4). You can do this by multiplying f(x) wih g(x).

(f*g)(x) = (x - 5)(2x + 1)

(f*g)(x) = 2x² - 9x - 5

Now that you have (f*g)(x), solve with x as 4.

(f*g)(4) = 2(4)² - 9(4) - 5

(f*g)(4) = 2(16) - 9(4) - 5

(f*g)(4) = 32 - 36 - 5

**(f*g)(4) = -9**

The required **expression **for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.

**Functions **is the **relationship **between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent **variable**.

Here,

f(x)=x-5

g(x) = 2x+1

According to the question,

[f + g ](x) = x - 5 + 2x + 1 = 3x - 4

[f + g ](x) = 3x - 4

[f - g ](x) = x - 5 - 2x - 1

[f - g ](x) = -x - 6

(f.g)(x) = (x - 5)(2x + 1)

(f.g)(x) = 2x² -4x -5

(f.g)(4) = 2[4]² - 4[4] - 5

= 32 - 16 - 5

= 11

(f.g)(4) = 11

Thus, the required **expression **for (f-g)(x), (f+g)(x) and (fg)(4) are given as 3x - 4, -x - 6 and 11.

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if a person ran 1/2 of a mile in 1/10 of an hour. How far will the person run in one (1) hour?

**Step-by-step explanation:**

In 1/10 of 1hr = 1/2 mile

10*(1/10) of 1hr = 10(1/2) mile

(10/10) of 1hr = (10/2) mile

1 of 1hr = 5mile

It says, he can run 5 miles in 1 hour

Which point is located at (-1,3)?

**Answer:**

C

**Step-by-step explanation:**

1 back, 3 up.

Simple when graphing you use the form (x,y)

Therefore the answer is Point C.

X is -1 and Y is 3

Please give brainliest

Therefore the answer is Point C.

X is -1 and Y is 3

Please give brainliest

3- ¿Cuál es la probabilidad de que al escoger un número positivo de dos cifras, este sea

primo y termine en 3?

O a) 1/15

b) 2/90

c) 6/91

d) 9/90

**Answer:**

**6 primos de dos cifras(casos favorables) / 90 numeros de dos cifras(casos posibles) = 1/15**

**Step-by-step explanation:**

Usando el concepto de **probabilidad**, se encuentra que hay una **probabilidad **de [tex]\frac{1}{15}[/tex], **opcion A**, de que al escoger un número positivo de dos cifras, este sea primo y termine en 3.**
**

------------------------------

UnaEntonces:

[tex]p = \frac{6}{90} = \frac{1}{15}[/tex]

**Probabilidad **de [tex]\frac{1}{15}[/tex], **opcion A**, de que al escoger un número positivo de dos cifras, este sea primo y termine en 3.

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Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.

Is the blue liquid toxic compared to liquid from white termites?

Liquid source Unharmed Immobilized

Blue workers 3 37

White workers 31 9

Answer:

Yes blue liquid is toxic

Step-by-step explanation:

H0: p1 = p2

H1: p1>p2

For blue

We calculate proportion as

37/40 = 0.925

For white

9/40 = 0.2250

To get p

(X1 + x2)/(n1 + n2)

= 0.5750

After calculating the z as statistic (please check attachment) I got 6.33

P value = 0.0000

We reject null hypothesis and say in conclusion that enough evidence exists for us to say blu liquid is toxic!

Thank you!

Please help ASAP!!! Will give brainlist!

**Answer:**

the last 1

**Step-by-step explanation:**

Jessica and Monte sell bananas at a produce stand. Jessica earns $4 for each crate of bananas she sells. At the end of the week, Monte has earned $15 less than Jessica. The following expression shows Monte's earnings:

4y − 15

In the expression, what does the first term represent?

Jessica's earnings at the end of the week

The number of crates of bananas Jessica sold

Monte's earnings at the end of the week

The number of crates of bananas Monte sold

**Answer:**

Jessica's Earning's at the end of the week

**Step-by-step explanation:**

If Jessica earns $4 for every crate she sells that means the first term would be what Jessica earned at the end of the week minus $15 because Monte made $15 dollars less then Jessica.

In the **expression **the first term represents "The number of crates of bananas Monte sold". So **option D** is correct.

An expression is a sentence with at least two numbers or **variables **having mathematical operation. Maths operations can be subtraction, **multiplication**, addition, division.

For example, 2x+3

The expression given for **Monte's **earnings is 4y - 15.

In this expression, the first term is 4y.

This term represents the amount of money Monte earns per crate of bananas he sells.

Therefore, the first term represents the rate of pay for Monte's earnings, which is $4 per crate.

So, the answer is: The first term represents the amount of money Monte earns per crate of **bananas **he **sells**.

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HELP MEEEE

Solve 1.43p + 2.2 = -4.001. Round your answer to the nearest hundredth. Show your work.

**Answer:**

p = -4.33636363636

**Step-by-step explanation:**

subtract 2.2 from -4.001 which equals -4.001-2.2=-6.201 and divide -6.201 by 1.43p and that equals -4.33636363636 so p = -4.33636363636

Restless Leg Syndrome and Fibromyalgia

People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.

**Answer:**

The probability that a person with restless leg syndrome has fibromyalgia is **0.183**.

**Step-by-step explanation:**

Denote the events as follows:

* F* = a person with fibromyalgia

* R* = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}[/tex]

[tex]=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183[/tex]

Thus, the probability that a person with restless leg syndrome has fibromyalgia is **0.183**.

Alex is making a candy that contains 75% white chocolate and the rest peppermint sticks. The candy has 3 pounds

of peppermint sticks.

Part A: Write an equation using one variable that can be used to find the total number of pounds of white

chocolate and peppermint sticks in the candy. Define the variable used in the equation. (5 points)

Part B: How many pounds of white chocolate are present in the candy? Show your work. (5 points)

**Answer:**

163

**Step-by-step explanation:**

Can someone explain the snake method, I don't understand how to do it

**Answer:**

**Step-by-step explanation:**

Inequality: (x-1)(x+2)(2x-7)≤0

Solution:If we solve the corresponding equation (x-1)(x+2)(2x-7)²= 0, we get roots

x = -2, 1, 3.5We need to consider the following 4 intervals:

(−∞; −2), [−2; 1], (1; 3.5), (3.5; ∞)1st interval (−∞; −2)

The expression (x-1)(x+2)(2x-7)² is positive as two of the multiples are negative and one is always positive (square number), and therefore does not satisfy the inequality.2nd interval [−2; 1]

The expression is negative as only one of the multiples is negative, and therefore the interval (−1; 2) satisfies the inequality.3rd interval (1; 3.5)

The expression is positive as all the multiples are positive. Therefore, the interval (1; 3.5) also does not satisfy the inequality.4th interval

The expression is positive as above, and therefore also does not satisfy the inequality.So, the answer to the inequality is:

x ∈ [−2; 1] ∪ 3.52

[tex] 2 \times 2[/tex]

FOUR FOUR FOUR FOUR FOUR FOUR FOUR 2*2=FOUR

**Answer:**

4

**Step-by-step explanation:**

2 × 2 = 4

please help ! i would mark brainliest to the first answer.

x^2 = 4 py

where p**<****0**

**Step-by-step explanation:**

I think this is it but I am not sure

can someone solve this please 5(5t + 1) = 25t – 7

It’s either no solution or just false depending on the answer choices you have

solving steps:

5(5t+1)=25t-7

25t+5=25t-7

5= -7

which is not true

solving steps:

5(5t+1)=25t-7

25t+5=25t-7

5= -7

which is not true

which equation choice could represent the graph shown below?

**Answer:**

The answer is...

f(x)=(x-3)+(x+3)

I think this is the answer. I haven't done this kind of math in a while so...

The chosen **equation**, (x +3)(x + 3) = 0, will serve as a representation of the provided **graph**.

ax²+bx+c=0, with a not, equals 0 is a **quadratic equation**, which is a second-order **polynomial equation **in a single variable. It has at least one solution because it is a second-order **polynomial equation**, which is guaranteed by the algebraic **fundamental theorem**. The answer could be simple or complicated.

given a Graph of a **quadratic equation**.

Contrarily, parabolas are used to graph **quadratic equations**. In other words, the data will be displayed as either an "open" or "upside-down" U-shaped curve. The graph is always **quadratic **if you are drawing a graph from a function and the **equation **involves x².

in this graph, we can observe that graph has only one root at x = -3

therefore the equation of the Given **parabola **is

(x + 3)² = 0

or

(x +3)(x + 3) = 0

therefore, the **equation **choice could represent the **graph **given will be (x +3)(x + 3) = 0.

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Angle 9 and angle 8 are what kind of angles? *

2

8/1

6/5

11/12

Alternate Interior Angles

Same Side Interior Angles

Corresponding Angles

Alternate Exterior Angles

What is the value of x.

**Answer:**

Angle 9 and Angle 8 they are the same

**Step-by-step explanation:**

**Answer:**

1,2,5

**Step-by-step explanation:**

solve -3x^2=150

please help me

**Answer:**

x=5i√2,−5i√2

Tap to view steps...

**Step-by-step explanation:**

math, way, . , com

find m ABC (2x) (5x+5)

**Answer:**

=130

**Step-by-step explanation:**

(2x) (5x+5) = 180

7x + 5 = 180

7x = 175

x = 25

5(25) + 5 = 125 + 5 = 130

Hope this helps (:

HELP PLEASE BRAINLESS ANSWER GETS 20 POINTS

An albatross is a large bird that can fly 400 kilometers in 8 hours at a constant speed. Using d for distance in kilometers and t for number of hours, an

equation that represents this situation is d-50t.

Enter the smaller of the two constants of proportionality.

**Answer:**

t=8

**Step-by-step explanation:**

400 divided by 50 hopefully that helps with your question

According to Boyle's Law, if the temperature of a confined gas is held fixed, then the product of the pressure P and the volume V is a constant, suppose that, for a certain gas, PV=800 where P is measured in pounds per square inch and V is measured in cubic inches.

A) Find the average rate of change of P as V increases from 200in^3 to 250in^3.

B) Express V as a function of P and show that the instantaneous rate of change of V with respect to P is inversely proportional to the square of P.

**Answer:**

I think its B

**Step-by-step explanation:**

Forgive me if I am wrong, give me brainliest if I am right!

a number multiplied by 5 and increased by 7 the result is 62
Solve for n.n+ 1 = 4(n-8)0 n = 1O n = 80 n = 11n = 16?
The altitude of a helicopter increase is 1000 feet every four minutes. What is the unit rate of change (feet per minute) of the altitude?
How did Winston Churchill die?
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Nishi invests $3000 at 5% interest per year. Work out how much she will have altogether after:
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Jasmin's dog weighs 64 pounds . Her vet told her that a healthy weight for her dog would be less than or equal to 49 pounds . Jasmin's dog can lose an average of 4 pounds every week . Write the solution to an inequality that describes all possible number of weeks for which her dog can be at a healthy weight .
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PLS HELP ILL MARK YOU BRAINEST DUE IN 20 MINSS
A deposit of $10,000 is made a year from now, a second deposit of $10,000 is made at the end of the year 5, and a deposit of $3000 is made at the end of year 8. The account earns 6% interest. You want to withdraw an equal amount, X at the end of each year for the next 10 years. What is the amount of X if the goal is to empty the account
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What could be done to improve an online class?List 5 things
Making Podcasts and Wikis Work for BusinessPodcasts and wikis are part of Web 2.0, which allows users of the web to create content. Prudent business use of Web 2.0 applications can help businesses build and maintain their reputations online. Understanding how to use Web 2.0 communication tools will be important when you are on the job.Businesses have embraced podcasting to broadcast (confidential/ legal/ repetitive?) information that doesnt require interaction. For example, some companies use podcasts to broadcast HR policies that can be accessed on demand. What function can companies improve by using wikis for collaboration?A. Communication with investors.B. Project management.C. Customer interaction.Consider the scenario:You work on the marketing team for a software development company. You have sales representatives in different locations around the globe. When a product update is released, your team holds teleconferences to demo new features. Due to time differences, these demos are difficult to schedule and usually require multiple demo sessions to accommodate different geographic regions. You want to streamline the new product demos and decide to recommend an electronic communication tool to help facilitate this. Which electronic communication tool would you recommend?A. A podcast.B. A wiki.C. An e-mail.
please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
In the diagram of the nitrogen cycle, which number represents nitrogen2 pointsgas?TerrestrialcyclingAnimals687Decomposition2Uptakeof aminoacids,4