Hello I need help on this math question​

Answer:

Total purchase price = 600 * 34.50 Total purchase price = $20,700 c. To find the total selling price for the 600 shares, we can multiply the number of shares by the final price per share. Total selling price = 600 * 38.64 Total selling price = $23,184 d.

Answer: -2, 2, 7/4

***If the pictures is sideways, use the rotate button. I hope the explanation made sense!

Answer:

The roots are y=2, y=-2 and y=7/4

Step-by-step explanation:

4y^3-7y^2+28=16y =0

subtract 16y from both sides

4y^3 -7y^2 - 16y +28 =0

Factor by Grouping

(4y^3 -7y^2) (-16y +28) =0

Greatest common factor

y^2(4y-7) -4(4y-7)

take y^2 and -4 as well as the repeated 4y-7

(4y-7) (-4+y^2)

change -4 to -2^2

(4y-7) (-2^2+y^2)

Similify

(4y-7).  (y-2).  (y+2)

y=7/4    y=2    y=-2

Credit to BlueGreen24

answer is A

Step-by-step explanation:

The graph is translated 2units to the left and 1 unit up.

" Transformation of a graph is defined as the changes in the shape of the coordinate plane of the given function by rotation , reflection and translation. Translation is rigid movement in the parent graph either vertically or horizontally."

According to the question,

Parent square function f(x) is transformed to create a new function g(x) .

f(x) = √x

g(x) = √x-2+1

As we can see x is shift by x-2 which explains graph is translate 2 units to the left.

(x-2+1) :  +1 is representing 1 unit up.

Hence, we conclude that Option(A) is the correct answer.

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The value of k, for k > 0, such that the slope of the line tangent to the graph off at x = 0 is -2.

We are given a family of functions f(x) = x² - 2x + k, where k is a constant. This family of functions includes all the possible quadratic functions of the form x² - 2x + k. To find the value of k, we need to use the given condition that the slope of the tangent line to the graph of the function at x = 0 equals 6.

To find the slope of the tangent line at x = 0, we need to take the derivative of the function f(x) and evaluate it at x = 0. Taking the derivative of f(x), we get:

f'(x) = 2x - 2

Evaluating f'(x) at x = 0, we get:

f'(0) = 2(0) - 2 = -2

This gives us the slope of the tangent line to the graph of the function at x = 0, which is -2.

Therefore, the answer to the problem is that there is -2 of k, for k > 0, such that the slope of the line tangent to the graph of the function at x = 0 equals 6.

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Complete Question;

Consider the family of functions f(x) = where k is a constant. x^2 - 2x +k

Find the value of k, for k > 0, such that the slope of the line tangent to the graph off at x = 0

Therefore, the change in profit is approximately 0.60 and the percent change in profit is approximately 0.81%.

The given function is P = 100xe–x/400, where is sales.

The change in profit as sales increase from x = 115 to x = 120 units is to be determined.

To find the change in profit, we need to calculate the profit at x = 115 and x = 120 and then find the difference between them.

P(115) = 100 * 115e^(–115/400) ≈ 73.99

P(120) = 100 * 120e^(–120/400) ≈ 73.39

The change in profit = P(120) - P(115) ≈ 0.60

Approximate percent change in profit as sales increase from

x = 115 to x = 120 units = (change in profit / initial profit) × 100%≈ (0.60/73.99) × 100%≈ 0.81%.

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Answer:

96

Step-by-step explanation:

hope this helps!

when you divide a number by a 1/5 you are just doubling the answer

Answer:

q = 204

Step-by-step explanation:

25 + 954 = 979

979 - 775 = 154

Answer:

\(\boxed{\tt q=985}\)

Step-by-step explanation:

\(\tt 25(q-954)=775\)

Let's apply the Distributive property:-

\(\tt 25q-23850=775\)

Add 23850 to both sides:-

\(\tt 25q-23850+23850=775+23850\)

\(\tt 25q=24625\)

Divide both sides by 25:-

\(\tt \cfrac{25q}{25}=\cfrac{24625}{25}\)

\(\boxed{\tt q=985}\)

Or we can solve it by .....

Dividing both sides by 25

\(\tt q-950=\cfrac{775}{25}\)

\(\tt q-954=31\)

Add 954 to both sides:-

\(\tt q=31+954\)

\(\boxed{\tt q=985}\)

__

Answer:

2380

Step-by-step explanation:

Answer:

= 25x² - 40x + 16

Step-by-step explanation:

(5x - 4)²

= (5x - 4) (5x - 4)

= 25x² - 20x - 20x + 16

= 25x² - 40x + 16

Hope this helps :)

Let me know if there are any mistakes!!

Answer:

0.555

Step-by-step explanation:

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

The solution is, as a decimal​ of 55.5% is, 0.555

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

When you ask, "What is 55.5 as a decimal?", we assume you want to know what 55.5 percent is as a decimal. In other words, 55.5 percent converted to decimal.

First, we will tell you why it is useful to know 55.5 as a decimal.

Normally, to calculate 55.5 percent, you would multiply a number by 55.5 percent and then you would take the product of that and divide it by 100 to get the answer.

Instead, you can simply multiply a number by 55.5 as a decimal to get the answer.

55.5 percent means 55.5 per hundred. Therefore, to get 55.5 as a decimal, all you have to do is divide 55.5 by 100 like so:

55.5 ÷ 100 = 0.555

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Answer:

a=8

Step-by-step explanation:

We know that the right triangle has a total angle of 90.

We already have 50 witch means 40 is missing.

The equation given is:

6a-8 but we will upgrade it by the information we have so now it’s 6a-8=40

One of the multiples of 6 is, 6x8=48

Remember that 8 will be taken off.

Solve:

48-8=40 (witch is what we where looking for)

This is further proof that a=8

I have no idea what the answer is

Answer:

The function g(x) simply takes the value x and turns it into its reciprocal value . Thus, for instance, the number 5 becomes , and  becomes 2. Note that any value of x works in this function as long as  is defined. As mentioned, fractions work as well as whole numbers, both for positive and negative values; the only value that does not work is 0, since  is undefined (how many times can 0 go into 1?). Thus, the domain of the function is all x in  where x ≠ 0. Let's look at the graph of the function also.

Step-by-step explanation:

The function f simply takes in input value x, multiplies it by 2, and then adds 3 to the result. We can therefore consider what constitutes the set of numbers that the function can accept as an input and what constitutes the set of numbers that the function can yield as an output.

Based on the given side lengths a=3 cm, b=5 cm, and c=6 cm, the triangle is a(n) scalene triangle. A scalene triangle has all sides of different lengths, which applies to this triangle with sides 3 cm, 5 cm, and 6 cm.

Triangles are described in terms of their sides and angles in geometry. A closed planar three-sided polygon shape with three sides and three angles is known as a triangle. The lengths of the sides of a scalene triangle vary. They are not equal, and the angles have three measurements. However, it still has a 180° angle sum, just like all triangles.

A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all internal angles, however, is always equal to 180 degrees. As a result, it satisfies the triangle's condition of angle sum.

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The axis of symmetry divides a shape into congruent halves, such as a parabolic curve or a quadratic function's graph. It is determined by the vertex or calculated using the formula -b/2a. The rank of the three functions are h(x), g(x), and f(x).

The axis of symmetry is a line that divides a two-dimensional shape or a three-dimensional object into two congruent halves.

The axis of symmetry is a line that divides a parabolic curve into two equal sections.

If the quadratic function's equation is given in vertex form, f(x) = a(x - h)2 + k, where the vertex is (h, k) and "a" is a coefficient, the axis of symmetry is the line x = h.

The graph of a quadratic function is symmetric about the axis of symmetry. A graph of a parabola is symmetrical about its axis of symmetry, which passes through its vertex.

For the quadratic function g(x) = 2x2 - 8x + 6, the axis of symmetry can be found using the formula x = -b/2a; the axis of symmetry is x = 2.

The axis of symmetry of f(x) = -3(x - 4)2 - 1 is x = 4, and the axis of symmetry of h(x) = x2 + 2x + 3 is x = -1 (Note: vertex form and standard form).

To sum up, based on the order of the axis of symmetry, the rank of the three functions is as follows: h(x), g(x), and f(x).

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Answer:

what expression?

The other point where the tangent line is horizontal is (-5, 17).

To find where the tangent line is horizontal, we need to find the value of t that corresponds to that point on the curve.

First, we can find the derivative of y with respect to x using the chain rule:

dy/dx = dy/dt / dx/dt = (-30 sin(t)) / (5(cos(t) - sin(t))) = -6 tan(t)

Now we need to find the value of t that makes the derivative equal to zero, which is where the tangent line is horizontal:

-6 tan(t) = 0

tan(t) = 0

t = 0, π

So we need to find the corresponding values of x and y for t = 0 and t = π.

When t = 0, we have:

x = 5(sin(0) + cos(0)) = 5

y = 47 - 15cos²(0) - 30sin(0) = 32

So one point where the tangent line is horizontal is (5, 32).

When t = π, we have:

x = 5(sin(π) + cos(π)) = -5

y = 47 - 15cos²(π) - 30sin(π) = 17

So the other point where the tangent line is horizontal is (-5, 17).

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For the different word problems:

6. The circumference of a tire is given by 2πr where r is the radius. Therefore, the distance traveled when the tire rotates once is equal to the circumference of the tire which is 2π(15) = 30π inches. When the tire rotates four times, the distance traveled is 4(30π) = 120π inches. Converting to feet:

120π inches × (1 foot / 12 inches) = 10π feet or approximately 31.4 feet.

Therefore, the distance that the bicycle travels when the tires rotate exactly four times is approximately 31.4 feet.

7. The circumference of a circle is given by 2πr where r is the radius. Therefore:

2πr = 37.69 feet

Solving for r:

r = 37.69 / (2π) ≈ 6 feet

The area of a circle is given by πr². Therefore, the area of the circle is:

π(6)^2 = 36π square feet

Converting to meters:

36π square feet × (0.3048 meters / 1 foot)² ≈ 10.6 square meters

Therefore, the area of the circle is approximately 10.6 square meters.

8. The area of a sector is given by A = (θ/360)πr² where θ is the central angle in degrees and r is the radius. In this case, the radius is 6.5 feet and the central angle is 120 degrees. Therefore, we have:

A = (120/360)π(6.5)² = 13.5π/2 ≈ 21.2 square feet

Therefore, the area of the sector is approximately 21.2 square feet.

9. To find the area of the shaded region, we need to subtract the area of the sector with central angle 90 degrees from the area of the square. The side length of the square is equal to the diameter of the circle, which is 8 inches. Therefore, we have:

Area of square = (side length)² = 8² = 64 square inches

The radius of the circle is half the diameter, so it is equal to 4 inches. Therefore, the area of the sector with central angle 90 degrees is:

(90/360)π(4)² = π square inches

Therefore, the area of the shaded region is:

64 square inches - π square inches ≈ 44.87 square inches or approximately 44.9 square inches to the nearest tenth.

The area of a circle is given by πr², where r is the radius. In this case, the diameter of the pizza is 26 inches, so the radius is 13 inches. Therefore, the area of the entire pizza is:

π(13)² = 169π square inches

To find the area of one slice, divide the area of the entire pizza by the number of slices. In this case, there are eight slices, so:

Area of one slice = (1/8) × 169π = 21.125π square inches

Therefore, the area of one slice is approximately 21.125π square inches.

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Image transcribed:

6. A Bicycle's tires have a Radius of 15 inches. Determine the Distance that the Bicycle travels when the tires rotate exactly Four (4) times (Whole Foot).

7. A Circle has a Circumference of about 37.69 feet. Determine the Area of the Circle (in terms of m).

8. Use the information from the Figure to determine the Area of the Sector (nearest whole #).

120°

6.5

9. Determine the Area of the Shaded Region (nearest Tenth).

6.4

10. A Pizza with a 26 inch Diameter is Cut into Eight (8) equal Slices. Determine the Area of one Slice (in terms of л).

Answer:

A

Step-by-step explanation:

Group like-terms, that is move the numbers to one side of the sign.

Then, divide both sides by 2

The question is a blank black box...can you resend with actual picture...

The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.

The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.

In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.

The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5

where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4

The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33

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The probability that the last person to board gets to sit in their assigned seat is 1/50 or 0.02, which is 2%.

The probability that the last person to board gets to sit in their assigned seat can be determined by analyzing the possible seating scenarios.

Let's break down the problem step by step:

1. The first person, who has lost their boarding pass, chooses a random seat. There is a 1/100 probability that they choose their assigned seat correctly.

2. Now, there are two possibilities:

a. If the first person occupies their assigned seat, everyone else will also sit in their assigned seats, resulting in the last person sitting in their assigned seat. The probability of this scenario is 1/100.

b. If the first person occupies someone else's seat, we move to the next step.

3. From the second person onwards, if a person finds their assigned seat unoccupied, they will sit in it, ensuring that the last person also gets their assigned seat. This scenario has a probability of 1/100.

4. If a person finds their assigned seat occupied, they will choose another seat at random from the remaining unoccupied seats. This will continue until the last person boards.

Analyzing all the possible scenarios, we can see that either the first person sits in their assigned seat (1/100 probability) and everyone follows suit, or the first person sits in someone else's seat (99/100 probability), leading to a chain of random seat changes. In this case, the last person will only get their assigned seat if they happen to be the last person who needs to change their seat.

Since there are 99 people in between the first and the last person who need to change seats, the probability that the last person gets their assigned seat in this scenario is 1/99.

Combining the two possibilities:

Probability = (1/100) + ((99/100) * (1/99))

Probability = 1/100 + 1/100

Probability = 2/100

Probability = 1/50

Therefore, the probability that the last person to board gets to sit in their assigned seat is 1/50 or 0.02, which is 2%.

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\(\sqrt[3]{270}\qquad \begin{cases} 270=2\cdot 3\cdot 3\cdot 3\cdot 5\\ \qquad ~~ 2\cdot 3^3\cdot 5\\ \qquad ~~ 3^3\cdot 10 \end{cases}\qquad \implies \sqrt[3]{3^3\cdot 10}\implies 3\sqrt[3]{10}\)

Answer:

Look down below!

Step-by-step explanation:

Fist, make your inequality:

-x + 5y > -10

5y > x - 10

y = .2x - 2

Now, plug in any value of x to find y!

Ex:  x = 5...

y = .2 (5) - 2

y = -1

Your first coordinate could be (5, -1)

Hope this helps!

Answer:

1. AC

2. AB

3. CB

The derivative of the function f(x) = 4x³ - 8x, evaluated at x = 4, is f'(4) = 184. This means that at x = 4, the rate of change of f(x) is 184 units per unit of x.

The derivative of a function measures the rate at which the function is changing at a specific point. In this case, we are given the function f(x) = 4x³ - 8x and asked to find its derivative at x = 4, denoted as f'(4).

To find the derivative of f(x), we can apply the power rule of differentiation. According to the power rule, if we have a term of the form axⁿ, the derivative is given by d/dx(axⁿ) = naxⁿ⁻¹. Applying this rule to each term in f(x), we get:

f'(x) = d/dx(4x³) - d/dx(8x)

      = 3(4)(x²) - 8

      = 12x² - 8

Now, to find f'(4), we substitute x = 4 into the derivative expression:

f'(4) = 12(4)² - 8

     = 12(16) - 8

     = 192 - 8

     = 184

Therefore, the main answer is f'(4) = 184.

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Answer:

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.

Step-by-step explanation:

Answer:

i think the correct answer is the third one

have a nice day! (^o^)