After consulting with his broker, Gregor Mendel purchased 100 shares of a computer company stock at $44.41 per share. He also purchased 600 shares of a second company's stock at $19.08 per share. Gregor's online broker charges $0.04 per share. What is the total cost of the stock including the commission?

Answer: \((f \cdot g)(x) = x^4-11x^2+30.\)

Step-by-step explanation:

We want to find the value of \(f(g(x)).\) To do this, we plug in \(g(x)\) into the expression for \(f(x).\) This gives us:

\(f(g(x)) = (x^2-9)^2+7(x^2-9)+12 = x^4-18x^2+81+7x^2-63+12 = \boxed{x^4-11x^2+30}.\)

The transformed point if reflected over y = x is (4, 10)

Reflections are transformation technique used to change the position of an image on an xy-plane.

Given the coordinate (10, 4), if this coordinate points are reflected over y =x, this shows that we will simply swap the coordinate points to have (4, 10)

Hence the transformed point if reflected over y = x is (4, 10)

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Answer:

The critical value  is  \(t_{\frac{0.10}{2} , 14 } =[ - 1.761,1.761]\)

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  15

   The  level of significance is  \(\alpha = 0.10\)

The null hypothesis is  \(H_o : \mu _1 = \mu_2\)

The alternative hypothesis is  \(H_a : \mu_1 \ne \mu_2\)

Here \(\mu_1\) is average time for previous year

        \(\mu_2\) is the average time for current year

Generally the degree of freedom is mathematically represented as

         \(df = n -1\)

=>      \(df = 15 - 1\)

=>     \(df = 14\)

Generally from the student  t distribution table the critical value  for \(\frac{\alpha }{2}\) at a degree of freedom of  \(df = 14\) for a two tailed test  is  

      \(t_{\frac{0.10}{2} , 14 } =[ - 1.761,1.761]\)

Entry ticket = $7

Gift shop money = $g

Maximum to spend = $30

Inequality => 7+g ≤ 30

Hope it helps!

Answer:

74 and 76

Step-by-step explanation:

I'm pretty sure

Answer:

8 and 9

Step-by-step explanation:

8 x 8 = 64

9 x 9 = 81

75 is the number between 64 and 81

SOLUTION

The standard charge is

And the insurance charge is

The total cost will be given as:

Substitute for S and I into the equation

Simplify the equation:

Therefore the required answer is:

Answer:

0 :/

Step-by-step explanation:

S(48) = (48/2)(2a+47d),

S(36) = (36/2)(2a+35d).

Now S(48) = 4S(36)

24(2a+47d) = 4*18(2a+35d) = 72(2a+35d).

Then 2a+47d = 3(2a+35d) and

6a +105d -2a -47d = 0,

4a +58d = 0,

2a+29d = 0.

Now S(30) = (30/2)(2a+29d) = (15)(2a+29d)=0

Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.

Minutes | Distance Traveled (in miles)

50 | 20

20 | f

40 | 60

100 | a

125 | 80

100 | 100

To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:

Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.

Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.

Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.

Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.

Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.

Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:

Slope = Distance Change / Time Change

= 20 miles / 25 minutes

= 0.8 miles per minute

So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

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Answer:

P = 84

Step-by-step explanation:

Area = length* width or A = lw

We know that the length is 5 times its width which can also mean

\(l = 5*w\) or \(l=5w\)

Use the formula for area and replace \(l\) with \(5w\) and the total area with 245

\(A = lw\\245=5w(w)\)

Multiply:

\(245=5w^{2}\)

Divide by 5

\(49=w^2\)

Square root of \(w^2\)

\(\sqrt{49}=\sqrt{w^2}\)

Simplify

\(7=w\)

Now that we know w = 7 we can input this into the Perimeter formula

(P = 2l +2w)

P = 2(5*7)+2(7)   // Note: Remember \(l\) = 5*w and w = 7

P = 84

There is also a formula for this type of problem, but this explanation is for when you forget. Hope that explains things :)  

Answer:

I think it's the third one

Step-by-step explanation:

I've done this before, but try the 3rd one, if not then try the second one. it's been awhile since I've done this. I'm sorry if I'm wrong

Answer:

no violet turned violet and so you would turn violet because the inside of a bluberry is more violet than it is blue

Step-by-step explanation:love yall please give me brainliest

Answer:

The answer is "7x9". When added together or in the verbiage of the question "can be found by using the arrays".

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Answer:

256pi or 804.248 m sq

Step-by-step explanation:

the formula for the area of a circle is pi*r^2 and we know the radius. so the area is pi*16^2=256pi. if you want the decimal answer it's around 804.248

Answer:

- At any time t, the population is:

P = 375t² + 3000t + 1000

- At time t = 3 days, the population is:

P = 13,375

Step-by-step explanation:

Given the rate of change of the population of bacteria as:

dP/dt = 3000/(1 + 0.25t)

we need to rewrite the given differential equation, and solve.

Rewriting, we have:

dP/3000 = (1 + 0.25t)dt

Integrating both sides, we have

P/3000 = t + (0.25/2)t² + C

P/3000 = t + 0.125t² + C

When t = 0, P = 1000

So,

1000/3000 = C

C = 1/3

Therefore, at any time t, the population is:

P/3000 = 0.125t² + t + 1/3

P = 375t² + 3000t + 1000

At time t = 3 days, the population is :

P = 375(3²) + 3000(3) + 1000

= 3375 + 9000 + 1000

P = 13,375

The present value (PV) of the investment today is approximately $2,965.05.

To find the present value (PV) of the investment today, we need to calculate the present value of each individual contribution and then sum them up. We can use the formula for the present value of an annuity to do this calculation.

The formula for the present value of an annuity is given by:

PV = C * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present Value

C = Cash flow per period

r = Interest rate per period

n = Number of periods

In this case, the cash flow per period (C) is $500, the interest rate per period (r) is 10.5% (or 0.105), and the number of periods (n) is 20 years.

Let's plug in these values into the formula and calculate the present value (PV):

PV = $500 * [(1 - (1 + 0.105)^(-20)) / 0.105]

Using a calculator, we can evaluate the expression inside the brackets:

PV = $500 * [(1 - 0.376889) / 0.105]

Simplifying further:

PV = $500 * [0.623111 / 0.105]

PV = $500 * 5.930105

PV = $2,965.05

Therefore, the present value (PV) of the investment today is approximately $2,965.05.

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Answer:

it will take her 2 hours and 45 minutes

Answer:

OP = 29 feet

Step-by-step explanation:

cos 63 = OP/64

0.4540 = OP/64

OP = 29 feet

Based on the number of miles that Reshanda rode on her bicycle from her house, her average rate over the last 7 hours of the trip was 7 miles per hour

The average rate shows the speed that a person was going over a period of time such that they were able to cover a certain distance, in that period of time.

First, find the number of miles that Reshanda rode in the last 7 hours of her trip on the bicycle:

= Number of miles after 11 hours - Number of miles after 4 hours
= 79 miles - 30 miles

= 49 miles

Reshanda was able to ride for 49 miles in the last 7 hours so her average rate was:

= Distance / Time

= Number of miles ridden / Time ridden

= 49 / 7

= 7 miles per hour

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Answer:

the answer is A

okay that it have a nice day

Answer:

the answer above me is correct!

Step-by-step explanation:

Edge 2021

The probability that a randomly selected woman does not have red/green color blindness is approximately 0.994.

To calculate the probability of the complement event, we can subtract the probability of the event itself from 100%. So, the probability of not having red/green color blindness is:

100% - 0.65% = 99.35%

This means that if we randomly select a woman from this group, there is a 99.35% chance that she does not have red/green color blindness.

Finally, we can express this probability as a decimal or a percentage. In this case, the probability is:

0.9935 or approximately 0.994 (rounded to three decimal places)

So, The likelihood that a lady chosen at random does not have red/green colour blindness is about 0.994.

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Step-by-step explanation:

If a triangle is rotated 90° about the origin.

The rule that describes the transformation is

(x, y) → (–y, x)

The set builder notation of the solution inequality represented on the number line is; {x: 3< x <=5}.

It follows from the task content that at point positive 3, there's an open circle which signifies that the number 3 is less than the solution.

And since the number line is shaded from positive 3 to 5, it follows that the maximum value in the solution set is 5.

The representation is therefore; {x: 3< x <=5}.

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On the number line, the solution inequality is represented by the notation x: 3=5, which is the set builder notation of the inequality.

This is further explained below.

Given the information provided in the job, it is logical to conclude that at point positive 3, there will be an open circle. This will indicate that the number 3 will be lower than the answer.

And since the shading on the number line goes from positive 3 to 5, it follows that the highest value that can be found in the set of solutions is 5.

As a result, the representation is written as:

"x: 3 x = 5."

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Answer:

Slope= -2

Step-by-step explanation:

Answer:

A. cos( \(-\frac{\pi}{3}\))

Step-by-step explanation:

Typed the all the expressions into desmos and picked the ones that matched

The expression cos (π/12)cos(5π/12) + sin (π/12)sin(5π/12) is equivalent to expression cos( π/3).

Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.

The trigonometric expression is

⇒cos (π/12)cos(5π/12) + sin (π/12)sin(5π/12)

The trigonometric formula of cos (x-y) =  cosx cosy +sinx siny

Here x = π/12 and y = 5π/12

cos (π/12)cos(5π/12) + sin (π/12)sin(5π/12) = cos ( π/12 - 5π/12)

=cos( -π/3)

= cos( π/3)

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The correlation coefficient between X and Y is Corr(X, Y) = 0.

To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.

a. Marginal distribution of X:

To find the marginal distribution of X, we integrate the joint PDF over the range of Y:

∫[0, 1] J(x, y) dy

Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:

∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1

So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.

b. Expectation of X:

The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:

\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)

Therefore, the expectation of X is E(X) = 1/3.

c. Variance of X:

The variance of X can be calculated using the formula:

\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)

Therefore, the variance of X is Var(X) = 5/36.

d. Covariance of X and Y:

The covariance of X and Y can be calculated as:

Cov(X, Y) = E(XY) - E(X)E(Y)

Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:

\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

Cov(X, Y) = 1/6 - (1/3)(1/6) = 0

Therefore, the covariance of X and Y is Cov(X, Y) = 0.

e. Correlation coefficient between X and Y:

The correlation coefficient can be calculated using the formula:

Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))

Since the covariance of X and Y is 0, the correlation coefficient will also be 0.

Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.

f. Conclusion based on the correlation coefficient:

The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the

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Therefore, the solutions for θ in the interval 0° ≤ θ ≤ 360° are approximately 131.81° and 228.19°.

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles, particularly right triangles. It is used to study and analyze various phenomena that involve periodic functions, such as waves, oscillations, and sound. Trigonometry also has practical applications in fields such as physics, engineering, navigation, and surveying. It involves the use of trigonometric functions such as sine, cosine, tangent, cosecant, secant, and cotangent to calculate the sides and angles of triangles and other geometric figures.

Here,

Let's solve for θ:

First, let's substitute u = cos(θ), so we have:

3u² - 5u - 4 = 0

Now we can use the quadratic formula:

u = [ -(-5) ± √((-5)² - 4(3)(-4))] / (2*3)

u = [ 5 ± √(49) ] / 6

u1 = (5 + 7) / 6 = 2

u2 = (5 - 7) / 6 = -2/3

Since the cosine function has a range of -1 ≤ cos(θ) ≤ 1, we can discard the solution u1 = 2.

Now we can solve for θ:

cos(θ) = u2 = -2/3

θ = cos⁻¹(-2/3) ≈ 131.81°  

θ = 360° - cos⁻¹(-2/3) ≈ 228.19°

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The most appropriate reason for Christie making changes to her budget at the end of every month in terms of smart financial planning is B. She is reviewing her goals and aligning the budget to work toward them.Option B is correct.

Smart financial planning involves regularly evaluating and adjusting one's budget to ensure that it reflects their financial goals and current circumstances. By reviewing her goals, Christie can assess if her budget is still aligned with those goals and make any necessary changes to stay on track.

Life circumstances, such as changes in income, expenses, or financial priorities, may warrant adjustments to the budget. Christie recognizes that her needs may change over time, and by modifying her monthly budget, she can ensure that her financial resources are allocated appropriately to meet her evolving goals.

Regularly revisiting and modifying the budget allows Christie to adapt her financial plans, optimize her spending, and make informed decisions to achieve her financial objectives. Option B is correct.

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I think the radius would be 2

Answer:

48 meals

Step-by-step explanation:

36/(3/4) = (36 *4)/3 = 48

Answer:

C) f(x) = (x - 2)(x - 3)(x + 5i)(x - 5i)

Explanation:

Given the function:

First, we check for a linear factor of f(x) by using the remainder theorem.

We try 2, -2, 3 and -3.

It means that: x-2 and x-3 are factors of f(x) since they have a remainder of zero.

We divide f(x) by (x-2)(x-3) to obtain:

If we solve x²+25, we have:

Therefore, the other roots are x+5i and x-5i.

The correct choice is:

C) f(x) = (x - 2)(x - 3)(x + 5i)(x - 5i)