h(x) = 3x+2
g(x)=x² + x
Find (h-g)(8)

The functions f and g so that hx=fgx; h(x)=(-9x-2)^2 is option A. f(x) = -9x - 2 and g(x) = x²

One possible way to find functions f and g that satisfy the equation h(x) = f(g(x)) is to work backwards from h(x) and express it as the composition of two simpler functions.

For example, we can express h(x) = (-9x - 2)^2 as:

h(x) = (f(g(x)))^2

where f(x) = -9x - 2 and g(x) = x

so f(g(x)) = -9x - 2

Alternatively, you can express h(x) as:

h(x) = f(g(x))

where f(x) = √(-9x - 2) and g(x) = -9x - 2

so f(g(x)) = √(-9x - 2)

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Answer:

Rectangle

Step-by-step explanation:

It's a rectangle because opposite sides are parallel as you can see , it has 4 right angles , and it has 4 sides .. it's not a square because in a square all sides are equal

The statements that are true are:
1. The circumscribed angle l has a measure of 49°.
2. If the measure of arc hj is 98°, the measure of angle hmj is 98°.


1. The circumscribed angle l is an angle formed by two intersecting lines with a common endpoint on a circle. The statement that it has a measure of 49° is true.
2. The angle hmj is an inscribed angle, which is half the measure of the intercepted arc. Therefore, if the measure of arc hj is 98°, the measure of angle hmj is also 98°.

The circumscribed angle l has a measure of 49°. If the measure of arc hj is 98°, the measure of angle hmj is 98°.
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Answer:

Step-by-step explanation:

Make sure to use protractor and ruler to draw the lines in the pie chart to get full marks

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

There are 15,120 ways to distribute the first, second, third, and two fourth prizes among the five different people in the group of nine.

To determine the number of ways to distribute the prizes, we can break down the process step by step: First Prize: There are 9 people in the group, and one of them can be chosen for the first prize. So there are 9 options for the first prize. Second Prize: After the first prize has been awarded, there are 8 remaining people who can be chosen for the second prize. So there are 8 options for the second prize. Third Prize: After the first and second prizes have been awarded, there are 7 remaining people who can be chosen for the third prize. So there are 7 options for the third prize.

Fourth Prizes: There are two fourth prizes to be given. After the first three prizes have been awarded, there are 6 remaining people. The first fourth prize can be given to any one of them, leaving 5 people for the second fourth prize. So there are 6 options for the first fourth prize and 5 options for the second fourth prize. Multiplying the number of options for each step together: Total number of ways = 9 * 8 * 7 * 6 * 5 = 15,120 . Therefore, there are 15,120 ways to distribute the first, second, third, and two fourth prizes among the five different people in the group of nine.

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The expected number of successes in 2000 trials with a probability of success of 0.5 is 1000. option C

To determine the expected number of successes in a binomial trial with a probability of success of 0.5 and 2000 trials, we can use the formula for the expected value of a binomial distribution.

The expected value (E) of a binomial distribution is given by the formula:

E = n * p

Where:

E is the expected value

n is the number of trials

p is the probability of success

In this case, we have n = 2000 and p = 0.5. Substituting these values into the formula, we get:

E = 2000 * 0.5

E = 1000

Therefore, the expected number of successes in 2000 trials with a probability of success of 0.5 is 1000.

Based on the options provided:

Option A suggests 1400 successes, which is greater than the expected value of 1000.

Option B suggests 600 successes, which is less than the expected value of 1000.

Option C suggests 1000 successes, which matches the expected value of 1000.

Option D suggests 1800 successes, which is greater than the expected value of 1000.

Among the given options, the closest one to the expected value of 1000 is Option C, which suggests 1000 successes. Therefore, Option C is the correct answer.

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Yes, if you have minimums and maximums that are several standard deviations away from the rest of the data observations, medians would be the best measure of central tendency.

Having minimums and maximums that are far away (several standard deviations away from the mean) from the rest of the data observations, medians would be the best measure of central tendency. This is because, when there are outliers or extreme values in a dataset, the mean can be influenced and it may not be an accurate representation of the central tendency.

However, the median is not affected by extreme values or outliers since it only depends on the middle value of the dataset. Therefore, if the dataset has outliers, it is better to use the median as a measure of central tendency to provide a more accurate representation of the data.

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The cross-sectional area of the cast-iron pipe is approximately 19.63 square inches. We need to use the formula for the cross-sectional area of a ring or annulus. The cross-sectional area of a ring is equal to the area of the outer circle minus the area of the inner circle.

The area of a circle is given by the formula A = πr^2, where r is the radius of the circle. The radius of the outer circle is equal to the sum of the inside radius and the thickness of the metal, or r1 = 12/2 + 1/2 = 6.5 inches. The radius of the inner circle is equal to the inside radius, or r2 = 12/2 = 6 inches. Therefore, the cross-sectional area of the cast-iron pipe is: A = πr1^2 - πr2^2
A = π(6.5)^2 - π(6)^2
A = π(42.25 - 36)
A = π(6.25)
A = 19.63 square inches

So the cross-sectional area of the cast-iron pipe is 19.63 square inches.
You need to find the cross-sectional area of the cast-iron pipe. You can do this by calculating the areas of the two circles (outer and inner) and then subtracting the smaller area (inner circle) from the larger area (outer circle).

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Answer:

114

Step-by-step explanation:

Angles A and B are congruent, so A=B.

6x+12= 3x+63

x=17

6(17)+12= 114

Answer:

Step-by-step explanation:

Since the question is incomplete, the answer will be subjective. To share the food such as the biscuit and the others. each person should consume one of the food items a day.

Based on research in 2015-2020 by the Dietary Guidelines for Americans, it is has been stated that women should consume about 1,600 to 2,400 calories a day, and men should fall within the range of 2,000 to 3,000.

Note that Since the question is incomplete, the answer will be subjective. To share the food such as the biscuit and the others. each person should consume one of the food items a day.

Note also that the consumption of calories of food is one that is based depends on the age, size, height, etc., of the people.

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Answer:

3, 4, 5, 6

Step-by-step explanation:

they are on the inside and that's what interior is

Answer:

The car travelled 73 miles

The boat travelled 53 miles

The car arrived 17.7 minutes before the boat

Step-by-step explanation:

The total distance the car travelled from Point A to Point B = 28+45 = 73 miles

The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.

Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes

Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.

The time taken by the car is the shortest, therefore it arrives first before the boat.

(◔‿◔)

Answer:

y = 1x - 5

Step-by-step explanation:

It looks like the form that they want is Slope Intercept Form. :(

y = mx + b

The two points on the line are (5, 0) and (0, -5)

The slope is 1

The y - intercept is -5

y = 1x - 5

Answer:

1 * x - 5

Step-by-step explanation:

Y = mx + b

the equation will be 1 * x - 5

Please mark as brainliest

Sum of x and 10 is (x+10)

Half of sum of x and 10 = \( \frac{x + 10}{2} \\ \)

Mr. Kawai's performance as the CEO of Komatsu can be evaluated as successful, as his strategies enabled the company to achieve a high return on investment.

Komatsu was able to evolve rapidly and become a real challenge to Caterpillar in the early 1980s through a combination of strategic changes implemented by its management team, led by Mr. Kawai. Mr. Kawai emphasized the need for Komatsu to focus on quality and innovation, rather than cost and market share. He also invested in research and development, and created a network of subsidiaries around the world. In addition, Mr. Kawai increased Komatsu's marketing and advertising budget, which enabled the company to expand its global presence.

Mr. Kawai's performance can be evaluated using the financial metric Return on Investment (ROI). ROI measures the return on investment achieved by a company relative to its costs. If we assume that the costs of Komatsu's investments during Mr. Kawai's tenure were $169 million, then the ROI during his tenure would be equal to the total value of Komatsu at the end of his tenure divided by the initial investment of $169 million. This formula would give us an estimate of the overall performance of Mr. Kawai as the CEO of Komatsu.

Overall, Mr. Kawai's performance as the CEO of Komatsu can be evaluated as successful, as his strategies enabled the company to achieve a high return on investment.

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the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

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By reducing −16/5 ⋅ (−15/56) in lowest term, the answer is 6/7.

To perform the indicated operation and reduce the result to lowest terms, we need to multiply the two fractions:

(-16/5) x (-15/56) = (16 x 15) / (5 x 56)

(when we multiply two negative numbers, the result is positive)

= 240 / 280

Now we can simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 40:

240 / 280 = (240 ÷ 40) / (280 ÷ 40) = 6/7

Therefore, -16/5 ⋅ (-15/56) = 6/7 in lowest terms.

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Answer:

1. Mean : 85.6

2. Median : 90

3. Mode : 95

4. Range : 35

Step-by-step explanation:

1. For Mean, you add up all the terms and divide the resulting sum by the number of terms. In this case there were 9 terms that added up to 770, and when you divided that result by 9, the answer was 85.555 repeating. Since the question asks to round to the nearest tenth 85.6 represents the correct mean or average of the class.

2. To find the median, line up all the numbers in order from least to greatest. Like so :

60,75,75,90,90,95,95,95,95

In order to find the median, find the middle term. Since there are 9 terms, the middle term will be the fifth one. In this case, the answer was 90.

3. Mode represents the number that appears the most in a data set. Look at the 9 terms and find the one that appears the most. In this case it is 90.

4. Lastly, to find the range, subtract the lowest value in the data set from the highest one. 95 is the highest and 60 is the lowest. Do \(95-60\) and you will get an answer of 35.

Hope this helps!

Answer:

Mean: 85.6

Median: 90

Mode: 95

Range: 35

Step-by-step explanation:

Mean: Add up all the value and divide by the number of values you have.

75 + 95 + 90 + 95 + 60 + 95 + 75 + 95 + 90 = 770

770 / 9 = 85.6

Median: Rearrange in increasing order + look at middle number

60, 75, 75, 90, 90, 95, 95, 95, 95

Mode: Number that shows up the most.

95 shows up 4 times.

Range: Maximum - Minimum.

95 - 60 = 35.

Based on the percentage discount that one gets from the promotion using a jar, the average discount amount the shoe store can expect to give each customer is $15.

The average discount in percentages will be:

= (3/6 x 10%) + (2/6 x 30%) + (1/6 x 60%)

= 5% + 10% + 10%

= 25%

The average discount in cash amounts is:

= 25% x 60

= $15

In conclusion, the average discount amount that the store can expect to give each customer in dollars is $15.

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The probability mass function for this problem is f(x) = C(20, x) * (0.65)^x * (0.35)^(20-x). The parameters for this binomial distribution are n=20 (number of trials) and p=0.65 (probability of success).

Based on the given information, x follows a binomial distribution since each passenger either belongs to the frequent rider club or not, with a fixed probability of 0.65 for success (being a member of the club) and 0.35 for failure (not being a member). The probability mass function (f(x)) for this distribution can be written as f(x) = (20 choose x) * 0.65^x * 0.35^(20-x), where (20 choose x) represents the number of ways x passengers can be chosen from a total of 20 passengers. The parameters for this distribution are n = 20 (the total number of passengers) and p = 0.65 (the probability of success).
Hi! Based on your question, the variable X follows a binomial distribution since it represents the number of successes (frequent rider club members) out of a fixed number of independent Bernoulli trials (20 passengers). The probability mass function (f(x)) for a binomial distribution is given by:
f(x) = C(n, x) * p^x * (1-p)^(n-x)
where:
- C(n, x) represents the number of combinations of n items taken x at a time (n choose x)
- n is the number of trials (20 passengers in this case)
- x is the number of successes (number of frequent rider club members)
- p is the probability of success (0.65 for a passenger being part of the frequent rider club)
- (1-p) is the probability of failure (0.35 for a passenger not being part of the frequent rider club)

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Answer:

7th term is -1

Step-by-step explanation:

Mathematically, we have the nth term of a geometric sequence as:

Tn = ar^(n-1)

where a is the first term

n is the number of terms

T4 = ar^3

64 = -4096 * r^3

r^3 = -64/4096

r^3 = -1/64

r^3 = (-1/4)^3

r = -1/4

The 7th term is:

T7 = ar^6

T7 = -4,096 * (-1/4)^6

T7 = -1

The 7th term is -1

Answer:im so sorry but i cant see the page you should take a more clear picture and send it again

Step-by-step explanation:

Answer:

Tim spends 59/110 less time at the theatre

Step-by-step explanation:

Answer:

6 days

Step-by-step explanation:

$52 per day for 4 days: 4 * $52 = $208

Total pay: $610

Pay for remaining days: $610 - $208 = $402

Number of $67/day days: $402/($67/day) = 6 days

Answer: 6 days

The explicit solution of the initial value problem y′=y(y−1), y(0)=4 is y = 1/(1-3e^-x).

To find the explicit solution, we begin by separating the variables and integrating both sides:

dy/dx = y(y-1)

(dy/y(y-1)) = dx

Integrating both sides yields

ln|y-1| - ln|y| = -x + C

where C is a constant of integration.

We can simplify this expression by combining the logarithms using the identity ln(a/b) = ln(a) - ln(b):

ln|(y-1)/y| = -x + C

Taking exponential of both sides gives

|(y-1)/y| = e^(C-x)

Letting k = e^C, we can rewrite this as:

(y-1)/y = ± k e^-x

Rearranging and solving for y, we obtain:

y = 1/(1-k e^-x )

We can determine the value of k using the initial condition y(0) = 4:

4 = 1/(1-k)

Solving for k gives k = 3.

Substituting k=3 into the expression for y, we get:

y = 1/(1-3e^-x)

Therefore, the explicit solution of the initial value problem is y = 1/(1-3e^-x), where y(0) = 4.

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Answer:

I guess that X measures 50° because X and 50 are vertically opposite angles...

It is an inequality, and it can be written as:

2x-  4 < 8

Where x is the number.

Generally, if you see the words "less than, greater than, less or equal to, greater or equal to, etc.." you will be dealing with an inequality.

Here we have the mathematical statement:

"twice a number decreased by four is less than 8"

if we define x as the number, then we can write ""twice a number decreased by four..."

2x -4

And that must be less than 8, then we will have the inequality:

2x-  4 < 8

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