Can someone solve and explain this please

Answer:

627 :P

Step-by-step explanation:

Answer:

\(x {}^{2} - 4x \\ = x(x - 4)\)

Answer:

Here is the sample space:

(1, 1), (1, 2) (1, 3), (2, 1), (2, 2), (2, 3), (3, 1),

(3, 2), (3, 3)

Value if p is $16 which maximizes the total revenue.

We need to first find the total revenue equation and then maximize it. Here are the steps:

Step 1: Write the demand equation.
x = 960 - 30p

Step 2: Write the total revenue equation.
Total Revenue (R) = price (p) × quantity (x)
R = px

Step 3: Substitute the demand equation into the total revenue equation.
R = p(960 - 30p)

Step 4: Simplify the total revenue equation.
R = 960p - 30p²

Step 5: Differentiate the total revenue equation with respect to p.
dR/dp = 960 - 60p

Step 6: Set the derivative equal to zero to find the critical points.
0 = 960 - 60p

Step 7: Solve for p.
60p = 960
p = 960/60
p = 16

So, the value of p that maximizes the total revenue is $16.

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Option (e) 16t^2 = 81 is the equation that can be solved for t to find the time (in seconds) when the diver hits the water.

The equation that can be solved for t to find the time (in seconds) when the diver hits the water is:

d(t) = 16t^2 = 81

We want to find the value of t that satisfies this equation, which represents the time it takes for the distance fallen to reach the height of the water surface.

To solve for t, we can start by dividing both sides of the equation by 16:

t^2 = 81/16

Next, we can take the square root of both sides to isolate t:

t = ±√(81/16)

t = ±(9/4)

Since time cannot be negative, we discard the negative solution, and we get:

t = 9/4

Therefore, the time it takes for the cliff diver to hit the water surface is 9/4 seconds, or approximately 2.25 seconds.

Option (e) 16t^2 = 81 is the equation that can be solved for t to find the time (in seconds) when the diver hits the water.

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Answer:

y=-2x+5

Step-by-step explanation:

This is my last one for today hahaha. Good luck on the rest.

Given data:

The first equation is 2x+3y=-12.

The second equation is x+y=9.

The second equation can be written as,

y=9-x

Substitute the above value in second equation.

2x+3(9-x)=-12

2x+27-3x=-12

-x=-39

x=39

The value of y is,

39+y=9

y=-30.

Thus, the value of x is 39, and the value of y is -30.

Answer:

Step-by-step explanation:

d

It is likely that jed will select a button with one hole because 14/73> 1/2 .

Given,

22 buttons have two holes .

14 buttons have one whole .

37 buttons have four holes .

Now probability of selection in random cases,

Total number of buttons = 73 .

Probability that a button having one whole is selected = 14/73

Probability that a button having two whole is selected = 22/73

Probability that a button having four whole is selected = 37/73

Thus 14/73> 1/2 hence the probability that jed will choose a button with one whole is more .

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The required limit is 2.

The given function is h(x, y) = (x² + y)/y.

To show that the function has no limit as (x, y) approaches (0, 0) by considering different paths of approach, we have to show that the function has a different limit value for each different path of approach. Let's proceed with the solution:1)

Examine the of h along curves that end at (0,0). Along which set of curves is h a constant value?

Let's examine the function h along different curves that end at (0, 0) to find which set of curves has a constant value of h(x, y).

For a function to have a limit as (x, y) approaches (0, 0), it should have a unique limit along all the paths of approach. Therefore, if we find a set of curves where h(x, y) has a constant value, the limit along that path would be that constant value.

The path of approach could be any curve that leads to (0, 0). Let's evaluate h(x, y) along a few curves that end at (0, 0) and observe whether h(x, y) has a constant value or not.

The curves we'll examine are y = mx, where m is a constant. Along this curve, we can write h(x, y) as h(x, mx) = (x² + mx)/mx = (x/m) + (1/m²x). As (x, y) approaches (0, 0), (x/m) and (1/m²x) both approach 0.

Hence, h(x, y) approaches 1/m. Therefore, h(x, y) has a constant value along this curve. The limit along this curve is 1/m.y = x². Along this curve, h(x, y) = (x² + x²)/x² = 2.

Therefore, h(x, y) has a constant value along this curve. The limit along this curve is 2. x = 0. Along this curve, h(x, y) is undefined as we have to divide by y. y = 0. Along this curve, h(x, y) = x²/0, which is undefined. Hence, h(x, y) doesn't have a constant value along this curve.

Therefore, h(x, y) has a constant value of 2 along the curve y = x².2) If (x, y) approaches (0, 0) along the curve when k = 2 used in the set of curves found above, what is the limit?

We found above that h(x, y) has a constant value of 2 along the curve y = x². If (x, y) approaches (0, 0) along this curve, the limit of h(x, y) is 2. Hence, the required limit is 2.

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Answer:

(x-5)^2 + (y + 4)^2 = 100

Step-by-step explanation:

See attached worksheet.

Answer:

340 miles per hour

Step-by-step explanation:

To find the speed, take the distance and divide by the time

510 miles / 1.5 hours

340 miles per hour

Answer:

340 miles

Step-by-step explanation:

Speed= Distance/ Time=

510/ 1.5= 340 miles

Answer:

$0.10

Step-by-step explanation:

2 pound = 32 ounces

32 ounces = $3.20

What is the price per ounce?

3.20 / 32 = $0.10

So, the price per ounce is $0.10

Step-by-step explanation:

Answer:

The new line is steeper than the original, but still crossing the y=axis at 7 .

Step-by-step explanation:

Since what has changed from y = 2 x + 7 going into y = 5 x + 7 is the slope of the linear function, (from 2 to 5) what one would notice is that the new line is steeper - raising 5 units every one unit ste to the right- but would still be intersecting the y-axis at the point (0, 7), since the y-intercept has not changed.

The given distribution is not a probability distribution, since the sum of probabilities is not equal to 1 and since at least one of the probabilities is greater than 1 or less than 0. Therefor, the correct answer is B and D.

A probability distribution is a statistical function that shows the possible values of a random variable and their associated probabilities. Probability distributions are divided into two types: discrete and continuous. A probability distribution is also known as a probability density function or a probability mass function, and it can be graphically represented as a histogram, bar graph, or line chart.

A probability distribution for a random variable is a set of probabilities and their respective probabilities. The sum of the probabilities in a probability distribution must be equal to 1.

The sum of the probabilities is not equal to 1 i.e., 0.05 + 1.05 + 0.35 + 0.55 = 2

Another condition of probability distribution is that probability of any random variable should not be greater than 1 or less than zero. At least one of the probabilities is greater than 1 (1.05 > 1), which violates the condition for a probability distribution.

When the sum of probabilities is not equal to 1, it means that the given distribution is not a probability distribution (Option B). When at least one of the probabilities is greater than 1 or less than 0, it means that the given distribution is not a probability distribution (Option D).

Note: The question is incomplete. The complete question probably is: Determine whether or not the distribution is a probability distribution and select the reason(s) why or why not. Select all that apply.

X 1 2 3 4

P(X) 0.05 1.05 0.35 0.55

Select all that apply:

A) The given distribution is a probability distribution, since the probabilities lie inclusively between 0 and 1.

B) The given distribution is not a probability distribution, since the sum of probabilities is not equal to 1.

C) The given distribution is a probability distribution, since the sum of probabilities is equal to 1.

D) The given distribution is not a probability distribution, since at least one of the probabilities is greater than 1 or less than 0.

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Answer:

Step-by-step explanation:

Each grandchild will receive 655/13 = 50 with 5 coins left over. She can keep the 5 coins and start again.

Answer

Answer:

50 coins for each grandchild

5 left over.

Step-by-step explanation:

13x50=650

655-650=5

Answer:

33.33%

Step-by-step explanation:

The line of best fit for the data is represented by the equation y = 3x + 15.

At x = 4,

y = 3(4) + 15 = 27

At x = 7,

y = 3(7) + 15 = 36

We need to find the percent change in the total number of trees from x = 4 to x = 7.

So,

\(\%=\dfrac{36-27}{27}\times 100\\\\=33.33\%\)

So, the required percentage change is equal to 33.33%.

The cost price that was used to get the book is: R.S 172

The parameters given are:

Marked Price: M.P = RS. 250

Discount allowed = 10%

The formula to find the selling price here will be:

S.P = M.P * (100 - Discount)/100

Thus:

S.P = 250 * (100 - 14)/100

S.P = 250 * 0.86

S.P = R.S 215

Since the profit is 25%, then we have:

Cost Price = (S.P * 100)/(100 + Gain%)

Cost price = (215 * 100)/(100 + 25)

Cost Price = 21500/125

Cost price = R.S 172

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Answer:

2

Step-by-step explanation:

Use the area of a triangle, given 3 points formula:

A:  (x1, y1) = (0,4)

B:  (x2, y2) = (2,4)

C:  (x3, y3) = (-1,6)

Area = 1/2|x1y2 - x2y1 + x2y3 - x3y2 + x3y1 - x1y3|  

plug in all the coordinates

Area = 1/2|(0·4) - (2·4) + (2·6) - (-1·4) + (-1·4) - (0·6)|

         = 1/2|0 - 8 + 12 + 4 - 4 - 0|

         = 1/2|-8 + 12 + 4 - 4|

         = 1/2|4|

         = 2

Answer:

34

Step-by-step explanation:

Each box needs to have a minimum space of 576 cubic inches to hold the toy.

What is a cuboid?

A cuboid is a three-dimensional solid shape that has six rectangular faces, where each face meets at right angles with adjacent faces.

To calculate the space required for each box to hold a toy that is 8 inches tall by 12 inches wide and 6 inches deep, we need to calculate the volume of the toy.

The volume of the toy can be calculated as:

Volume = height x width x depth

Volume = 8 inches x 12 inches x 6 inches

Volume = 576 cubic inches

Therefore, each box needs to have a minimum space of 576 cubic inches to hold the toy.

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The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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Answer:

x = 50

Step-by-step explanation:

The base angles of an isosceles triangle are the same

The unmarked angle is also x

The sum of the angles of a triangle is 180

x+x+ 80 = 180

2x+80 =180

Subtract 80 from each side

2x+80-80 = 180-80

2x = 100

Divide by 2

2x/2 = 100/2

x = 50

Step-by-step explanation:

   Sum = 4x³ - 3x² + 3x + 8 + (6x³ - 7x² + 4x) + (-8x³ + 7x²)     [write the terms as given by the quetion and group like terms]

⇒ Sum = (4x³ + 6x³ - 8x³) + (- 3x²  - 7x² + 7x²) + ( 3x + 4x) + 8   [complete the addition of like terms]

∴ sum = 2x³ - 3x² + 7x + 8

Answer:

2x³ - 3x² + 7x + 8

Step-by-step explanation:

We require to add

4x³ - 3x² + 3x + 8 + 6x³ - 7x² + 4x - 8x³ + 7x² ← collect like terms

= (4 + (6 - 8)x³ + (- 3 - 7 + 7)x² + (3 + 4)x + 8

= 2x³ + (- 3)x² + 7x + 8

= 2x³ - 3x² + 7x + 8

Answer:

(x-5)(2x+1)

Step-by-step explanation:

Its called google XD

When peers at work offer suggestions to correct a weakness, it is important for the person to respond in a thoughtful and constructive manner.

Here are some guidelines for effectively addressing such suggestions:

Listen and be open-minded: Actively listen to the suggestions without becoming defensive or dismissive. Remember that your peers are offering their perspectives to help you improve. Keep an open mind and be willing to consider their viewpoints.

Express gratitude: Appreciate the effort and willingness of your peers to provide feedback. Thank them for their suggestions and acknowledge their input. Demonstrating gratitude fosters a positive and collaborative work environment.

Seek clarification, if needed: If you need further clarification on any of the suggestions, ask your peers for more information. This shows your commitment to understanding their feedback and ensures you can address the weakness effectively.

Reflect on the feedback: Take some time to reflect on the suggestions offered. Evaluate their validity and consider whether they align with your own self-assessment. Honest self-reflection is crucial in recognizing and addressing weaknesses.

Develop an action plan: Once you have understood the suggestions and reflected on them, create an action plan to address the weakness. Break down the steps you need to take to improve and set realistic goals for yourself. This proactive approach demonstrates your commitment to personal growth and professional development.

Seek support if necessary: If you require additional resources or assistance to address the weakness, don't hesitate to ask for help. Reach out to mentors, supervisors, or relevant professionals who can provide guidance or training. Collaborating with others can accelerate your progress in overcoming the weakness.

Communicate progress: Keep your peers informed about the steps you are taking to improve. Sharing your progress demonstrates your commitment to growth and allows them to see your efforts. It also encourages ongoing support and accountability from your colleagues.

Show resilience: Addressing weaknesses takes time and effort. Be prepared for setbacks and challenges along the way. Stay resilient and maintain a positive mindset, focusing on continuous improvement rather than being discouraged by temporary obstacles.

Remember, accepting and addressing weaknesses is a part of personal and professional growth. Embrace the feedback from your peers as an opportunity to enhance your skills and become a stronger professional.

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Answer:

2 and 2/3 for the first question

-1/8 for the second one

-1/5 for the third one

ive never done this type of question or maybe it was too long ago for me to remember but out of this answer choices i would guess that its the last one

this is 3

Step-by-step explanation:

you add the numerators which is the top number in order to get 2 and 2/3rds

you subtract 5 from 4 to get -1/8

same situation as the last one, subtract 15 from 11 to make it a negative 4/20 and then simplify that by dividing it by four to get 1/5th

this one i dont understand or remember how to do very well but if i had to guess its the last answer choice

this one you add 3/4 plus 1/4 in order to get 4/4 or rather 1, so basically its asking what 1+1+1 is which is 3

Answer:

angle w = 70 degrees

angle x = 60 degrees

angle y = 70 degrees

angle z = 60 degrees

Step-by-step explanation:

You need to understand the properties of supplementary angles and corresponding angles.