The graph below shows a company’s profit f(x) in dollars depending on the price of pens x, in dollars, sold by the company What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing and what do they represent about the sale and profit? What is an aproxímate average rate of change of the graph from x=3 to x=5 and what does this rate represent?

Answer:

The answer to your question is 2555

Step-by-step explanation:

365 x 56 = 20440

20440 ÷ 8 = 2555

I hope this helps and have a wonderful day!

The interval of increase for the function f(x) = ex x8 is (0, ∞).

To determine the intervals of increase or decrease for the given function, we need to analyze the sign of the derivative.

Let's find the derivative of f(x) with respect to x:

f'(x) = (ex x8)' = ex x8 (8x7 + ex)

To determine the intervals of increase, we need to find where the derivative is positive (greater than zero).

Setting f'(x) > 0, we have:

ex x8 (8x7 + ex) > 0

The exponential term ex is always positive, so we can ignore it for determining the sign. Therefore, we have:

8x7 + ex > 0

Now, we solve for x:

8x7 > 0

Since 8 is positive, we can divide both sides by 8 without changing the inequality:

x7 > 0

The inequality x7 > 0 holds true for all positive values of x. Therefore, the interval of increase for the function is (0, ∞), which means the function increases for all positive values of x.

The function f(x) = ex x8 increases in the interval (0, ∞).

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Answer:

$8.25/scarf

Step-by-step explanation:

Divide the cost of the 9 scarves by the number of scarves.

$74.25/9 = $8.25

The unit price is $8.25 per scarf

Answer: -4h-4

Step-by-step explanation: the -4 stays the same, and then it’s just 2h -6h.

At a gas station, suppose that 54% of the customers purchase premium grade gas. assume that these customers decide independently. The probability that none of the next three customers purchase premium gas is 0.834

The likelihood that at least one of the following three customers will purchase premium gas is equal to the likelihood that none of the following three customers will do so. = 1 - (1-P(A))³ = 0.834

The likelihood that a customer would buy premium quality is 45%.

P(A) = 0.45 in this case.

P(B) = 0.55 is the likelihood that the consumer would buy a different grade.

Consequently, the likelihood that at least one of the following three clients will buy premium gas is

P(k=0) = (1 - P)ⁿ,

where the likelihood that at least one client will buy premium gas is complemented by the likelihood that the subsequent three customers will buy a different gas brand.

(1 - P(A))×(1 - P(A))×(1 - P(A)) = P(B)×P(B)×P(B) = 0.55³

and the complement is 1 - 0.55³  = 0.834

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Answer:

i dont know honestly

Step-by-step explanation:

The probability that at least one number occurs exactly 6 times is 0.01303 and the probability that at least one number occurs exactly once is 0.323.

In the given question, roll a fair die 10 times.

(a) We have to compute the probability that at least one number occurs exactly 6 times.

At least one number occurring exactly 6 times.

From Binomial distribution

\(P(X=x) = ^nC_x(p)^{x}(q)^{n-x}\)

As we roll a dice 10 times. So n=6

As we know that a dice have six faces. Each faces are mark from the number 1 to 6.

That means if we rolled a dice then there is possibility of coming six numbers.

So the probability of coming number in one time is

p=1/6

The probability of not coming the same number is

q=1-p

q=1-1/6 = 5/6

x=6

Now putting the value

\(P(X=6) = 6\times^{10}C_{6}(\frac{1}{6})^{6}(\frac{5}{6})^{10-6}\)

\(P(X=6) = 6\times^{10}C_{6}(\frac{1}{6})^{6}(\frac{5}{6})^{4}\)

After solving, at least one number occur exactly 6 times

Probability = 0.01303

(b) We have to compute the probability that at least one number occurs exactly once.

\(P(X=1)= ^{10}C_{1}(\frac{1}{6})^{1}(\frac{5}{6})^{10-1}\)

\(P(X=1) = ^{10}C_{1}(\frac{1}{6})^{1}(\frac{5}{6})^{9}\)

After solving, the probability that at least one number occurs exactly once is

Probability = 0.323

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Answer:

56740.15908m³

Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³

Step-by-step explanation:

1 meter = 3.28084ft

1 acre = 43,560 ft²

Therefore, using our unit conversion, the volume in S.I units of a reservoir containing 46 acre- ft of water is calculated as :

46 acre - ft × (1 meter/3.28084ft) × (43,560ft²/1 acre) × (1 meter/3.28084ft)²

= 2003760/35.314670112

= 56740.15908m³

Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³

you will pay approximately $11,542 in interest over the life of the loan.

it will take approximately 82.3 months to pay off the loan.

To calculate the number of years, we divide the number of months by 12:

Years ≈ 82.3 / 12 ≈ 6.9 (rounded to one decimal place)

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity (total amount paid)

P = Monthly payment amount ($140)

r = Monthly interest rate (16% / 12 = 0.16 / 12 = 0.0133)

n = Number of periods (months)

We need to solve for n. Rearranging the formula, we have:

n = log((FV * r) / (P * r + P)) / log(1 + r)

Plugging in the given values:

FV = $3,400

P = $140

r = 0.0133

n = log(($3,400 * 0.0133) / ($140 * 0.0133 + $140)) / log(1 + 0.0133)

Calculating this expression:

n ≈ log(45.22) / log(1.0133)

Using a calculator, we find:

n ≈ 82.3

To calculate the number of years, we divide the number of months by 12:

Years ≈ 82.3 / 12 ≈ 6.9 (rounded to one decimal place)

So, it will take approximately 6.9 years to pay off the loan.

To calculate the total interest paid, we subtract the initial loan amount from the total amount paid:

Total interest = (P * n) - $3,400

Total interest = ($140 * 82.3) - $3,400

Total interest ≈ $11,542

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Answer:

It took 1.2 hours to get to the store

Step-by-step explanation:

Let the time taken to reach the store be t₁

Let the time taken to come back be t₂

Let the speed to and from store = s₁ and s₂ respectively

let the distance to the store = d

To the store:

\(speed = \frac{distance}{time} \\s = \frac{d}{t_1} \\t_1 = \frac{d}{s_1}\\t_1 =\frac{d}{4} - - - - - (1)\)

Back from the store:

\(s_2 = \frac{d}{t_2} \\t_2 = \frac{d}{s_2}\\where:\\s_2 = 6\ miles\ per\ hour\\t_2 = \frac{d}{6} - - - - - - (2)\)

We are told that total time (t₁ + t₂) = 2 hours

t₁ + t₂ = eqn (1) + eqn (2)

\(\frac{d}{4} + \frac{d}{6} = 2\\Multiplying\ through\ by\ 12:\\3d\ +\ 2d\ =\ 24\\5d = 24\\d = \frac{24}{5} \\d = 4.8\ miles\)

∴ length of trip to the store = t₁

from eqn (1)

\(t_1 = \frac{d}{4} \\t_1 = \frac{4.8}{4} \\t_1 = 1.2\ hours\)

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{(-2)}}} \implies \cfrac{-4}{2 +2} \implies \cfrac{ -4 }{ 4 } \implies - 1\)

Step-by-step explanation:

Answer:

8218.406
Go through the process yourself to make sure my answer is correct

Step-by-step explanation:

The best way to solve these problems is by breaking them up into the difference shapes you see

A. Semi-sphere

The volume of a sphere is \(\frac{4}{3} \pi r^3\). Since we have a semi-sphere, we divide this by 2 and get:

\(V=\frac{4}{6} \pi r^3\\\\V= \frac{4}{6} \pi (12)^3\\\\V=3619.115\)

B. Cone

The volume of a cone is \(\pi r^2\frac{h}{3}\)

\(V = \pi (12)^2\frac{30.5}{3}\\V = 4599.292\)

C. Add

Add these two values:

3619.115 + 4599.292 = 8218.406

Answer:

15=2.00x+1.50y

Step-by-step explanation:

Step-by-step explanation:

5 +0.24 = 5 + 24 = 12 = 6

100 50 25

= 5 6

25

The  answer is f'(a) = 12a + 1. We can prove this algebraically by differentiating f(x) = 6x² + x with respect to x. The differentiation yields f'(x) = 12x + 1.To compute f'(a) for a = 2, we substitute a with 2 in the equation f'(x) = 12x + 1 to get:f'(2) = 12(2) + 1 = 24 + 1 = 25.

Therefore, f'(a) = 12a + 1 when a = 2.

Given that f(x) = 6x² + xTo find the derivative of f(x), we differentiate with respect to x using the power rule of differentiation. Recall that the power rule states that if we have a function f(x) = xⁿ, then the derivative of f(x) is given by f'(x) = nxⁿ⁻¹.

Let's apply this rule to f(x) = 6x² + x. We obtainf'(x) = d/dx [6x² + x]f'(x) = d/dx [6x²] + d/dx [x]f'(x) = 6d/dx [x²] + d/dx [x]f'(x) = 6(2x) + 1f'(x) = 12x + 1.

Therefore, the derivative of f(x) is given by f'(x) = 12x + 1.

To find the value of f'(a) for a given value of a, we simply substitute a with the value in the equation f'(x) = 12x + 1.

In this case, we have a = 2. Therefore, we havef'(2) = 12(2) + 1f'(2) = 24 + 1f'(2) = 25.

Therefore, the value of f'(a) when a = 2 is 25.

The main answer is f'(a) = 12a + 1. When a = 2, the value of f'(a) is 25.

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The unknown angles of the diagram is as follows;

The missing angles of the diagram can be found as follows:

The sum of angles in a triangle is 180 degrees.

Therefore,

32 + 128 + b = 180

160 + b = 180

b = 180 - 160

b = 20°

Therefore,

a = 32°(alternate angles)

Alternate angles are congruent.

180 - a - b = c (sum of angles on a straight line)

180 - 32 - 20 = c

c = 180 - 32 - 20

c = 128°

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Answer:

B. (8,4)

Step-by-step explanation:

To find the solution of the system, look at where the lines intersect. The intersecting point is (8,4). The solution to the system of equations is (8,4).

Answer:

B. (8,4)

Step-by-step explanation:

We want to find when these two equations are equal. The long way is to actually solve them using elimination or substitution of the equations. But, we can see an easier and clever way to solve them.

There is one specific time when equations are equal and that is when their lines intersect or cross, notice the graph and where they intersect. That specific coordinate where they intersect is your answer, (8, 4)!

Answer:

c = 48

Step-by-step explanation:

Given c varies directly as a and inversely as b then the equation relating them is

c = \(\frac{ka}{b}\) ← k is the constant of variation

To find k use the condition c = 15 when a = 18 and b = 40 , then

15 = \(\frac{18k}{40}\) ( multiply both sides by 40 )

600 = 18k ( divide both sides by 18 )

\(\frac{600}{18}\) = k

\(\frac{100}{3}\) = k

c = \(\frac{100a}{3b}\) ← equation of variation

When a = 36 and b = 25 , then

c = \(\frac{100(36)}{3(25)}\) = \(\frac{3600}{75}\) = 48

Answer:

Option (C)

Step-by-step explanation:

This question is incomplete; here is the complete question.

Morris is showing his work in simplifying,

(-6.7 + 4.3) - 1.2

Step 1: (4.3 - 6.7) - 1.2

Step 2: 4.3 - (6.7 + 1.2)

Step 3: 4.3 - 7.9

Step 4: -3.6

Which statement is true ?

A). Step 1, Morris used the commutative property.

B). Step 2, Morris used the distributive property.

C). Step 3, Morris used the associative property.

D). Step 4, Morris's answer is incorrect.

In associative property,

a + (b + c) = (a + b) + c

By this property,

(-6.7 + 4.3) - 1.2

Step 1, (-6.7 + 4.3) - 1.2 = (4.3 - 6.7) - 1.2

Step 2, (4.3 - 6.7) - 1.2 = 4.3 - (6.7 + 1.2) [Use of associative property]

Step 3, 4.3 - 7.9

Step 4, -3.6

Answer:

B.

Step-by-step explanation:

Use your calculator’s normalcdf function.

normalcdf(15.9, 19.1, 17.5, 1.6) = 0.6827

That’s closest to 68%.

Answer:

1.-28+6=-22

2.-28-3=-31

3.-16-12+6=-22

4.-16-6=-22

To find the amount of oatmeal in ounces for 1 ounce of milk, we use the following proportion

Now, we solve for x.

So, for 1 ounce of milk, the amount of oatmeal is 4/5 ounces.

Now, let's find the amount of milk for 5 1/10 ounces of oatmeal.

Now, we solve for x

Hence, there are needed 6 3/8 ounces of milk to get 5 1/10 ounces of oatmilk.

Answer:

{-4, 2, 6, 9}

Step-by-step explanation:

I took the quiz lol

Answer:

(-2,3)

Step-by-step explanation:

According to the coordinate plane, the coordinate of the missing point will be at (-2, -3)

A parallelogram is a quadrilateral having 4 sides

Given three coordinates of the parallelogram (4,3), (-4,3), and (2, -3), we can see that the coordinates (4,3) and (-4,3) are mirrors of each other i.e. the coordinates are reflections of each other over the y axis.

GIven the third coordinate point to be (2, -3), the last coordinate will be the reflection of (2, -3)

If the coordinate (x, y) is reflected over the y-axis, the resulting coordinate will be (-x, y)

Hence if the coordinate (2, -3) is reflected over the y-axis, the resulting coordinate will be (-2, -3)

According to the coordinate plane, the coordinate of the missing point will be at (-2, -3)

BRAINLIEST PLS?

To determine if there has been a change in the distribution of motivations for using a credit card among college students, a survey of 425 students was conducted.

The alternate hypothesis states that the distribution of motivations differs from the old survey. The critical value and rejection region need to be determined to test this hypothesis.

To test if there has been a change in the distribution of motivations, the null hypothesis assumes that the distribution remains the same as in the old survey, while the alternate hypothesis suggests a difference. In this case, the alternate hypothesis is that the distribution of motivations differs from the old survey.

To determine the critical value and rejection region, the significance level (α) needs to be specified. In this case, α is given as -0.005. However, it seems there may be some confusion in the provided information, as a negative significance level is not possible. The significance level should typically be a positive value between 0 and 1.

Without a valid significance level, it is not possible to determine the critical value and rejection region for hypothesis testing. The critical value is typically obtained from a statistical table or calculated based on the significance level and the degrees of freedom.

In conclusion, without a valid significance level, it is not possible to determine the critical value and rejection region to test the hypothesis regarding the change in the distribution of motivations for credit card usage among college students.

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.....um...i think u can't do this

Answer:

u should probably contact support or the creator of this site

Step-by-step explanation:

Answer: 1.33333333333 or 1 1/3

Step-by-step explanation:

To solve these kinds of questions, multiply the fraction/decimal by the number.

In this case, 2/3 * 2 = 1.33333333333, if you need to write it as a decimal, and 1 1/3, if you need to write it as a fraction

I hope this helps!