h(x) = 2f(x).g(x)
Find the value of h’(1), if f(1) = 3, g(1) = 2, f’(1) = 4, g’(1) = 1.

The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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A measurable part of a line that consists of two points, called endpoints, and all of the points between them are called Line sigments.

Geometry is a branch of mathematics that deals with how objects can be expressed as relationships of points, lines, planes, surfaces, and dimensions. When we draw lines in geometry, we use an arrow at each end to show that it expands infinitely. A line is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon. The figure below shows the line AB, where the length of the line AB is related to the distance between its endpoints, A and B. The symbol for the line is named after its two endpoints, e.g.

\( \bar{AB}\)

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The area of the region bounded by the given curves. y = 6x2 ln(x), y = 24 ln(x) is 2.85 sq.units.

In this question we need to find the area of the region bounded by the given curves. y = 6x^2 ln(x), y = 24 ln(x)

Equating both the equations of the curve,

6x^2 ln(x) = 24 ln(x)

24 ln(x) - 6x^2 ln(x) = 0

x = 1, 2

This means,  the curves intersect at x = 1 and x = 2.

So, the required area would be,

A = ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx

First we find the indefinite integral ∫[24 ln(x) - 6x^2 ln(x)] dx

= -6  ∫[-4 ln(x) + x^2 ln(x)] dx

= -6 ∫ln(x) (x^2 - 4) dx

= -6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x

So,  ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx

= [-6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x] _(x = 1 to x = 2)

= 32 ln(2) - 58/3

= 22.18 - 19.33

= 2.85 sq.units.

Therefore, the area of the region is 2.85 sq.units.

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the answer would be C ( i am not 100% sure though) c= -36x-9

d);

12(3x) = 36x

-12(-3/4) = 9

\(\sqrt{-245}\implies \sqrt{(-1)(245)}\implies \sqrt{-1}\sqrt{245}\implies i\sqrt{49\cdot 5} \\\\\\ i\sqrt{7^2\cdot 5} \implies 7\sqrt{5}~i\)

Answer:

10 Inches

Step-by-step explanation:

Remember the radius is always half the diameter. So, r * 2 = d. Plug those in...

5 * 2 = 10.

Therefore, the answer is 10 inches.

A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.

Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.

A z score represents the number of standard deviations a data point is from the mean of the data set.

A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.

The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:

z = (x - μ) / σ

= (93 - 80) / 5

= 2.6

Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.

Katie's score is 2.6 standard deviations above the mean.

A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.

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Answer:

Each person will get 6 and 3/4 cups of popcorn

Step-by-step explanation:

20.25 divided by 3 equals 6.75 which is 6 3/4

Therefore, the value of q(α) is 0.

Let p(x) = x³ + ax² + bx + c be a polynomials with distinct roots α, β, and γ, where α, β, and γ are real numbers and α, β, and γ are also roots of another polynomial q(x)

.To find: the value of q(α).

Given:p(x) = x³ + ax² + bx + c

has three distinct roots α, β, and γ such that α, β, and γ are real numbers and α, β, and γ are also roots of q(x).

The root of p(x) are:

α, β, and γThe root of q(x)

are:α, β, and γ

Since α, β, and γ are the roots of q(x),

we have:q(x) = (x - α) (x - β) (x - γ) ... (1)

Let's evaluate q(α) using equation (1)

q(α) = (α - α) (α - β) (α - γ)q(α) = 0

(Since α, β, and γ are distinct)

Therefore, the value of q(α) is 0. Hence, the correct option is (D).

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The range of the function g(x) is [300, ∞)

In this question, we have been given that we have deposited $300 into a savings account that earns interest annually.

The function g(x) = 300(1.04)^x used to find the amount of money in the savings account, g(x), after x years.

We need to find the range of the function.

Since a savings account earns interest annually, x can have take values from 0 to infinity.

For x = 0 year,

g(0) = 300(1.04)^0

g = 300 * 1

g = 300

For x tends to ∞, the value of function would be ∞

Therefore, the range of the function g(x) is [300, ∞)

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a.

5 minutes

b.

30 litres per minute

Answer:

Her journey by car.

Step-by-step explanation:

3/5 is more than 3/10. I hope this helps :)

Answer:  3/10 of her journey by autorikshaw.

Step-by-step explanation:

a. For the function f(x) = 3x² + 2x - 8, we need to compute and simplify [f(x + h) - f(x)]/h. To do this, we substitute f(x + h) and f(x) into the formula and simplify the expression.

b. For the function f(x) = 2x² - 5x - 14, we follow the same process as in part a to compute and simplify [f(x + h) - f(x)]/h.

For the functions y = 2 sin(4x+2) and y = 3 cos(0.5x - x), we need to find the amplitude, period, and phase shift. The amplitude represents the maximum displacement from the center line, which is the absolute value of the coefficient of sin or cos. The period is given by 2π divided by the coefficient of x inside the sin or cos function. The phase shift is found by setting the argument of sin or cos equal to zero and solving for x.

To sketch the graph, we plot the maxima and minima, which occur at equal intervals of the period. We also locate the x-intercepts, which are the points where y = 0.

For the population problem, we start with a population of 500,000 in 2008 and it is decreasing at a rate of 5% per year. We can use the exponential decay formula P(t) = P₀(1 - r)^t, where P(t) is the population at time t, P₀ is the initial population, r is the decay rate (in decimal form), and t is the time in years. For part a, we substitute P₀ = 500,000, r = 0.05, and t = 2025 - 2008 to calculate the population in 2025. For part b, we need to find the time when the population is 75% of the original amount, so we set P(t) = 0.75P₀ and solve for t.

The detailed calculations and explanations for each of the problems exceed the given word limit. Please let me know which specific problem you would like me to explain further.

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Answer:

non linear

Step-by-step explanation:

you can see it doesnt go up a specific number each time, aka changes each time, therefor its  non linear

Answer:

2

Step-by-step explanation:

Use the method

Change in output  / Change in input

The input progresses by 1, and y progresses by 2.

We will plug the numbers in.

2/1

Then simplify.

2/1 = 2

Hence, the rate of change is 2.

Answer:

EASY-ACCESS CREDIT:

1. title loan with collateral

2. two-week payday loan

OPEN-END CREDIT:

1. Credit card

2. $2000 monthly line of credit

CLOSE-END CREDIT:

1. home loan

2. car loan

The division of category on the basis of type of credit would be as follows:

Easy-Access Credit

1. Title loan with collateral

2. Two-week payday loan

OPEN-END CREDIT:

1. Credit card

2. $2000 monthly line of credit

CLOSE-END CREDIT:

1. Home loan

2. Car loan

Credit is described as the amount that has been added to a specific account.

Easy-access credit is defined as the credit that is granted for an extremely short period of time and for such loans, the interests are extremely high.

While the open credit keeps the amount lent on repeat which is set at a particular limit(maximum).

Close-end credit in which the amount remains specified initially while it is being lent.

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Answer:

15%

I like your demon slayer profile picture

Answer:

The answer is 15%.

Step-by-step explanation:

If 100 is 10% it only makes since that 15% is the right answer.

Hope This Helps!

y(x) = e^(0.9x - ln(9)) this is the particular solution for the given differential equation and initial condition.

Explanation:

To solve the separable differential equation dy/dx = 0.9y, follow these steps:
1. Separate the variables: (1/y) dy = 0.9 dx.
2. Integrate both sides: ∫(1/y) dy = ∫0.9 dx.
3. The left side becomes ln(y) + C₁, and the right side becomes 0.9x + C₂.
4. Combine the constants: ln(y) = 0.9x + C, where C = C₂ - C₁.
5. Solve for y: y(x) = e^(0.9x + C).
To find the particular solution satisfying the initial condition y(0), plug in x = 0 and y = e^((0.9/2)(0)^2 - ln(9)):
y(0) = e^(0.9(0) + C) = e^C.
Since y(0) = e^((0.9/2)(0)^2 - ln(9)), we have e^C = e^(-ln(9)). Taking the natural logarithm of both sides gives C = -ln(9).
Now, substitute the value of C back into the general solution:
y(x) = e^(0.9x - ln(9)).
This is the particular solution for the given differential equation and initial condition.

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Answer: 8/7

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

Time4 learning

Dividing two fractions is equivalent to multiplying the first fraction by its reciprocal.

Nikia says that 3/2 divided by 1/4 equals 3/8.

Nikia's statement is wrong .

3/2 divided by 1/4 = \(\frac{3}{2} X \frac{4}{1}\) = 6.

Here,

3/2 divided by 1/4 = \(\frac{3}{2} X \frac{4}{1}\) = 6.

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a. Multi-factor productivity in November: 0.231 b. Multi-factor productivity in December: 0.203 c. Percentage of productivity change: -12.12% d. Predicted impact on profits: It experience reduced profitability.

a. To calculate the multi-factor productivity in November, we use the formula:Multi-factor productivity = Output / (Labor cost + Material cost + Overhead costs). In November:

Output = Orders fulfilled = 3537

Labor cost = $9800

Material cost = $3500

Overhead costs = $2000

Multi-factor productivity = 3537 / (9800 + 3500 + 2000) = 3537 / 15300 ≈ 0.231

b. To calculate the multi-factor productivity in December, we use the same formula:In December:

Output = Orders fulfilled = 2945

Labor cost = $9000

Material cost = $3500

Overhead costs = $2000

Multi-factor productivity = 2945 / (9000 + 3500 + 2000) = 2945 / 14500 ≈ 0.203. The productivity has decreased from November to December.

c. The percentage of productivity change can be calculated using the formula: Percentage of productivity change = ((New productivity - Old productivity) / Old productivity) * 100

Percentage of productivity change = ((0.203 - 0.231) / 0.231) * 100 ≈ -12.12%. The productivity has decreased by approximately 12.12%.

d. Since the productivity has decreased and the price of the food remains unchanged, it suggests that the costs have increased relative to the output. This can have a negative impact on the profits of Hotdog Palace. With higher labor costs and potentially lower productivity, the company may experience reduced profitability unless it takes measures to address the labor shortage and improve productivity.

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Answer:

3000 students

Step-by-step explanation:

If 48% of the students are female, and there are 1440 female students, we can set up a percentage proportion, assuming x is the total amount of students.

\(\frac{1440}{x} = \frac{48}{100}\)

We can use the cross products property to find the value of x.

\(1440\cdot100=144000\\\\144000\div48=3000\)

Hope this helped!

Answer:

9 dollars

Step-by-step explanation:

It would be 9 dollars because that is the only common factor that could go into 27, 28, or 45.

Answer:

Can I buy a cheaper, generic product that serves my purpose just as well as this name-brand product?

 Am I making an impulse purchase?

Is this a discretionary expense that I can avoid?

Step-by-step explanation:

got 100 on the plato test

The area of the concrete patio is 280.86 ft²

The area of a circle of radius R is:

A = pi*R²

Where pi = 3.14

And for half a circle the area is half of that.

Here we can see that the diameter is (26 + 3/4) ft

so the radius is:

R = (26 + 3/4)/2 ft

R = (13 + 3/8) ft

Replacing that in the area formula we will get:

A = 0.5*3.14*(13 + 3/8)² = 280.86 ft²

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Answer:

for exapmle:  (2, 5)          {5=2•2.5}

                       (8, 20)        {20=8•2.5}  

                       (-5,  -12.5}    {-12.5=-5•2.5}

Step-by-step explanation:

    -3y+3x    -3y+3x

            ÷2     ÷2

Answer:

neither

Step-by-step explanation:

Since Sophie can grade 11 papers per hour

Since she worked for 5 hours, then

Multiply 11 by 5 to find the number of the graded papers

Since the total number of papers is 86, then to find the number of the remaining papers subtract 55 from 86

There were 31 paper Sophie has to grade after working 5 hours

Answer:

74 feet

Step-by-step explanation:

24^2 + 70^2 = 74^2

Pythagorean Theorem