point I is on line segment HJ. Given HJ=8 and HI=2, determine the length of IJ

To find f(g(x)), we substitute g(x) in place of x in the function f(x).

f(g(x)) = f(5x/(1-x)) = (5x/(1-x)) / (5 + (5x/(1-x))) = 5x / (1-x+5-5x) = 5x / 6 - 4x/6 = x/6

To find g(f(x)), we substitute f(x) in place of x in the function g(x).

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

Therefore, f(g(x)) = x/6 and g(f(x)) = x.

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Answer:

186 \(in^{2}\)

Step-by-step explanation:

6*3=18

18*2=36

7+3=10

15*10=150

150+36=186

The solution of the expression for r is given by:

\(r = \sqrt{\frac{3x}{2m\pi}}\)

To solve the expression for r, we must isolate r, as a function of the other variables.

The expression is modeled by:

\(m = \frac{3x}{\pi r^2h}\)

Then, isolating r:

\(mr^2 = \frac{3x}{2\pi}\)

\(r^2 = \frac{3x}{2m\pi}\)

\(r = \sqrt{\frac{3x}{2m\pi}}\)

Thus, the solution of the expression for r is given by:

\(r = \sqrt{\frac{3x}{2m\pi}}\)

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The intervals would contain approximately 95% of the measurements will be (120, 280). Then the correct option is C.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

In numerical documentation, these realities can be communicated as follows, where Pr(X) is the likelihood capability, Χ is a perception from an ordinarily circulated irregular variable, μ (mu) is the mean of the dispersion, and σ (sigma) is its standard deviation:

The interval for 95% will be given as,

Pr(X) = μ ± 2σ

Pr(X) = 200 ± 2(40)

Pr(X) = 200 ± 80

Pr(X) = (200 - 80, 200 + 80)

Pr(X) = (120, 280)

The intervals would contain approximately 95% of the measurements will be (120, 280). Then the correct option is C.

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Answer:

4.9

Step-by-step explanation:

100% of 2.45 is 2.45.

We add 2.45 + 2.45 which is 4.9.

Can I get brainliest?

Answer:

19.60

Step-by-step explanation:

Answer:

35 is the answer. I am sure this is right.

Hope this helped! :)

Step-by-step explanation:

Answer:

(C) 49

Step-by-step explanation:

y=3.4^2+1

y=3.16+1

y=48+1=49

=>Output is 49.

Answer:

(c) 49

Step-by-step explanation:

I did the quiz and got this answer correct :)

Answer:

$100.75

Step-by-step explanation:

422.05 - 106.30 - 310.00 + 95.00 = 100.75

Let's denote the three numbers A, B, and C.

Given that the highest common factor (HCF) of these three numbers is 8 and their sum is 80, we can consider possible combinations of numbers that satisfy these conditions.

Since the HCF is 8, all three numbers must be divisible by 8. Additionally, the sum of the numbers is 80, so we need to find combinations of three numbers that satisfy both conditions.

Let's list the possible combinations:

These are the four possible sets of three numbers that satisfy the given conditions: (8, 16, 56), (16, 8, 56), (24, 8, 48), and (8, 24, 48).

The square root of 107.6 is approximately 10.372

To find the square root of 107.6, we can use a calculator or use the following procedure:

Make an initial estimate:

We know that the square root of 100 is 10, so we can estimate that the square root of 107.6 is slightly more than 10.

Use the formula: We can use the following formula to improve our estimate:

x(n+1) = (x(n) + a/x(n))/2

where x(n) is the nth estimate of the square root of a, and a is the number we want to find the square root of.

Apply the formula: Using the estimate of 10, we get:

x(1) = (10 + 107.6/10)/2 = 10.38

Now we use this new estimate to get a better one:

x(2) = (10.38 + 107.6/10.38)/2 = 10.371

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Total distance flown is √34 + 5 + √34 kilometers (rounded to the nearest tenth)

Let's first visualize the situation. We have three points: courthouse, library, and community swimming pool, arranged in a triangle in Washington.

According to the information given, the library is 3 kilometers south of the courthouse and 5 kilometers west of the community swimming pool.

Now, if a bird flew directly from the courthouse to the library, that would be the hypotenuse of a right triangle with sides measuring 3 kilometers (south) and 5 kilometers (west). We can use the Pythagorean theorem to find the distance of the bird's flight from the courthouse to the library:

Distance from courthouse to library = √(3^2 + 5^2) kilometers

Distance from courthouse to library = √(9 + 25) kilometers

Distance from courthouse to library ≈ √34 kilometers (rounded to the nearest tenth)

Next, the bird flies directly from the library to the swimming pool, which is a straight line distance of 5 kilometers (west) according to the information given.

Finally, the bird flies directly from the swimming pool back to the courthouse, which is the same distance as the earlier flight from courthouse to library, i.e., √34 kilometers.

Therefore, the total distance flown by the bird would be:

Total distance flown = Distance from courthouse to library + Distance from library to swimming pool + Distance from swimming pool to courthouse

Total distance flown ≈ √34 + 5 + √34 kilometers (rounded to the nearest tenth)

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Answer:

Step-by-step explanation:

4x-5 = 3x

Answer:

1 1/4 cup

Step-by-step explanation:

Answer:

b < 10

Step-by-step explanation:

-b - 2 > 8

Add 2 to both sides.

-b > 10

Divide both sides by -1. When dividing by a negative, flip the inequality sign.

b < 10.

The stock worth now, to the nearest cent, is $58.14.

The current worth of stock = initial price of stock+increase in the price of stocks

If you bought stock last year for a price of $66, and it has gone down 13.9% since then,

Let X be the worth of stock;

66 ×  100 = (13.5% + 100%) × X

6600 = 113.5X

X = 6600/113.5

X = 58.14458

X = $58.14

Hence, The stock worth now, to the nearest cent is $58.14.

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Answer:

-8 is the answers for the question

Step-by-step explanation:

please please give me brainlest

Answer:

B. 2

Step-by-step explanation:

Here we need to the find the value in the green box.

Hence, only evaluate the part to the left of the operation sign.

Answer:

cool

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming that the interest is compounded monthly, Ben's total amount owed to the bank after 12 months can be calculated using the following formula:

A = P*(1+r/n)^(n*t)

Where:

P = principal amount borrowed = $10,000

r = annual interest rate as a decimal = 0.12

n = number of times the interest is compounded per year = 12 (monthly)

t = time period for which the interest is applied in years = 1

Plugging in the values, we get:

A = 10,000*(1+0.12/12)^(12*1)

A = $11,268.70

Therefore, Ben owes the bank a total of $11,268.70 after 12 months.

Answer:

The sum of their ages is 29, which we can express as the equation:

P + (P - 11) = 29

Simplifying the equation:

2P - 11 = 29

Adding 11 to both sides:

2P = 40

Dividing both sides by 2:

P = 20

Therefore, Pete's age, represented by "P," is 20 years old.

Answer:

A

Step-by-step explanation:

Options A, B and C  are the same:

2/3 is two-thirds (that how we read the fraction in English) and is 0.66666... (a decimal is sometimes permissible)

But most common and most used is a fraction

So, the answer is A

Answer:

AL

Step-by-step explanation:

AL would be the median because it joins a vertex of a triangle to the midpoint of the opposite side.

In this question, to find the total height first, we must also take into consideration the acceleration due to gravity as well. To find the distance by which acceleration due to gravity pulls the ball down must know the Initial velocity.

In the answer key, it says that gravity changes the ball's height by a distance of -5t^2

Is initial velocity in this question 0 or 14m/s? Because if it is 14, then gravity should change the balls position by -(14+5t^2), not -5t^2, because if I remember correctly, the formula for finding distance is vt(initial velocity)+(1/2)at^2 ,and not just (1/2)at^2

The required meaning of the word sped is A special education student.

The noun is defined as any word used to identify any of class of people, places, or things are called noun.

Here,
Sped is a noun word that tends is meaning toward education, which has meaning as special education student. The plural of sped is speds while in british english sped is used as a verb past tense and past participle of speed.

Thus, the required meaning of the word sped is A special education student.

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To assure the random selection of a sample population for determining the percentage of students who bring their lunch to school, a method known as simple random sampling can be employed.

Simple random sampling is a technique that provides each member of the population an equal chance of being selected for the sample. Here's an explanation of how simple random sampling can be implemented in this scenario:

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Answer:

g(-1) = 3, g(2) = 6, g(5) = 4

Step-by-step explanation:

Please refer to attached photo. (Apologies for the terrible handwriting.)

From here we can see,

g(x) = x + 4 applies for values x less than or equal to 2.

g(x) = 9 - x applies for values x more than 2 (which does not include 2.)

g(-1):

Since -1 < 2,

g(-1) = -1 + 4 = 3

g(2) = 2 + 4 = 6

g(5):

Since 5 > 2,

g(5) = 9 - 5 = 4

The correct r code to build a linear regression model with response variable y and explanatory variable x is option a. lm(y~x).

The code lm(y~x) will create a linear model with y as the response variable and x as the explanatory variable.

The lm() function in r is used for linear regression, and the formula y~x indicates that y is the response variable and x is the explanatory variable. The other options, lr(y~x) and lm(y, are not correct r code for building a linear regression model.

In summary, the correct r code for building a linear regression model with response variable y and explanatory variable x is lm(y~x).

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