Find the values of the variables and the lengths of the sides of this kite. (image attached)thank you ! :)

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

Answer:

  -3, 0, 5

Step-by-step explanation:

You want the zeros of P(x) = x³ − 2x² − 15x using the factored form.

We notice right away that x is a factor of every term. Factoring that out gives us a quadratic to factor:

  P(x) = x(x² -2x -15)

To factor this, we need two factors of -15 that have a sum of -2. The factors -5 and +3 have those properties. That means our factored form is ...

  P(x) = x(x +3)(x -5) . . . . factored form

This product will be zero when any of its factors is zero. Considering them one at a time, we find the zeros of P(x) to be ...

  x = 0

  x +3 = 0   ⇒   x = -3

  x -5 = 0   ⇒   x = 5

The zeros of P(x) are -3, 0, 5.

Answer:

\((i) P(\frac{1}{2}) = 2*(\frac{1}{2})^2 + 5*\frac{1}{2} -5\)

          \(=\frac{1}{2} +\frac{5}{2} -5\\\\=3-5 = -2\)

\((ii) P(3) - Q(2) = 2(3^2)+5(3)-5 -[4(2^2) +3(2) +2]\)

                       \(= 18 + 15 -5 -16-6-2= 28-24 =4\)

\((iii) P(x)\cdot Q(x) = (2x^2+5x-5)(4x^2-3x+2)\)

                      \(=2x^2(4x^-3x+2) +5x(4x^2-3x+2)-5(4x^2-3x+2)\\\\=8x^4 -14x^3 -11x^2 -10x-20x^2+15x-10\\\\=8x^4 - 14x^3 -31x^2 +5 -10\)

\((iv) P(x) + Q(x) = 2x^2 +5x -5 + 4x^2 -3x +2\)

                         \(= 6x^2 +2x -3\)

Answer:

The central angle measure of the sector is 150º.

Step-by-step explanation:

A sector of a circle is the portion of a circle enclosed by two radii and an arc.

When you know the central angle the area of a sector is given by

                                              \(A=\pi r^2(\frac{C}{360} )\)

where

r is the radius of the circle of which the sector is part.

C is the central angle in degrees.

We know that the area of the sector is \(60\pi \:cm^2\) and the radius is 12 cm. Applying the above formula and solving for the central angle we get that

\(60\pi =\pi (12)^2(\frac{C}{360}) \\\\\pi \left(12\right)^2\left(\frac{C}{360}\right)=60\pi \\\\\frac{\pi 12^2\cdot \frac{C}{360}}{144\pi }=\frac{60\pi }{144\pi }\\\\\frac{C}{360}=\frac{5}{12}\\\\C=150\)

Answer:5pi/6

Step-by-step explanation:

Answer:

angle L is 50 degrees! hope this helps

Step-by-step explanation:

idek lol i guessed and got it right

The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

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The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

If the Sharks had 16 swim meets in all, they won 10 swims.

Given,

Regan swims for the Sharks swim team. Last season, the Sharks won 5 swim meets for every 3 they lost.

We need to find out if the Sharks had 16 swim meets in all, and how many did they win.

Example:

2 cups = 4 eggs

To find for 4 cups.

We need to multiply 2 so that 2 cups becomes 4 cups.

4 cups = 2 x 4 eggs = 8 eggs

We have,

5 sims own for every 3 swims lost.

We can write it as:

5 own = 3 lost

Multiply 2 on both sides

2 x 5 own = 2 x 3 lost

10 own = 6 lost

We have,

16 swims in total.

It can be written as,

10 own = 6 lost

And we see that,

10 + 6 = 16 swims

Thus,

If the Sharks had 16 swim meets in all, they won 10 swims.

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Answer:
To find how much money Chase will get in a certain amount of years, set up the following equation:

(7440.93*0.0123)*x = y

Plug in x. "x" stands for how many years Chase keeps the money in his account while earning interest.

Keep "y" unknown, as that stands for what you are trying to solve for, which is how much interest money Chase will make.

Answer:

12

Step-by-step explanation:

Why did you ask this, but also answer it?- Lol thank you for the points though I guess...

Answer:

thank you they are all correct!

Step-by-step explanation:

Answer:

 -41r - 16

Step-by-step explanation:

Step  1  :

Step  2  :

Pulling out like terms :

2.1     Pull out like factors :

  -5r - 2  =   -1 • (5r + 2)

Equation at the end of step  2  :

 -r +  -8 • (5r + 2)

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  -41r - 16  =   -1 • (41r + 16)

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Michael drove 1125 miles and paid $295 for renting the truck for 3 days

Rental company charges per day = $70

Rental company charges per mile = $0.20

Number of days truck is rented by Michael = 3 days

The total amount paid by Michael for the truck = $295

Let x be the number of miles Michael drives the truck

Formulating the equation using the information given in the question:

295 = 70 + 0.20(x)

295-70 = 0.20(x)

225 = 0.20(x)

x = 1125 miles

Therefore, the total miles driven by Michael is 1125 miles.

Michael paid $295 for driving the truck for 1125 miles and renting it for 3 days.

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Answer:

w<13

Step-by-step explanation:

Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.

Answer:

w < 1`3

Step-by-step explanation:

Isolate the variable w on one side of the inequality sign.

w+7<20

w<20 - 7

w<13.

Answer:

471,000

Step-by-step explanation:

Answer:2,4

Step-by-step explanation:

Answer:

4x - 3 - 2x + 5 = 6 - 3x + 2 + 5x

2x + 2 = 2x + 8

2 ≠ 8, so this equation has no solutions.

Answer:

No solution

Step-by-step explanation:

Given:

\(4x-3-2x+5=6-3x+2+5x\)

rearrange terms so like terms are together

\(4x-2x-3+5=6+2-3x+5x\)

combine like terms

\(2x+2=8+2x\)

subtract 2x to both sides

\(2\neq 8\)

2 doesn't equal 8, meaning that there are 0 solutions to this problem.

Hope this helps! :)

The amount of paint needed to  paint a house with a surface area of 28,875 square feet is 7 bucket paint

The surface area is the sum of all the area of the faces of a figure.

Given the following parameters

Surface area of bucket paint =  4,125 ft²

Total surface area of the house. = 28,875ft²

Determine the amount of paint needed

Amount of paint needed =  28,875/4125

Amount of paint needed = 7

Hence the amount of paint needed to  paint a house with a surface area of 28,875 square feet is 7 bucket paint

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The inverse demand function of the given demand function is p = 50 - q/2.

A graph that depicts the relationship between a product's price and demand is called a demand curve. On a demand graph, the horizontal axis represents the amount desired, while the vertical axis represents the product's price.

The price is a function of the quantity required when there is an inverse demand curve. The inverse of a demand curve indicates that variations in the amount required cause changes in price levels. The formula for calculating the demand curve for a product yields the graph of an inverse demand curve.

Given demand function: q = 100 - 2p.

To find the inverse demand function, we find the inverse of the equation, by isolating p, to get:

q = 100 - 2p,

or, 2p = 100 - q,

or, p = 100/2 - q/2,

or, p = 50 - q/2.

Thus, the inverse demand function of the given demand function is p = 50 - q/2.

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Answer:

-x(6/7) + 4x(1/7)

Step-by-step explanation:

Since there was no net amount, I substituted it with x. Since there is a 1/7 chance of winning, it is being times with 4 times the wager (x). With there being a 1/7 chance of winning there is a 6/7 chance of losing. I put -x because that is the amount you would wager (spending money). If you do find a net amount be sure to substitute it for x.

Answer:

see below

Step-by-step explanation:

Company A f(x) = 15(7x)

Company B g(x) = 100x + 5

If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B

A = 105(2) = 210

B = 100(2) + 5 = 205   B costs less  False

f Marguerite rents for 2 weeks, it will cost her less if she rents from Company B

A = 105(2) = 210

B = 100(2) + 5 = 205   B costs less  True

If Marguerite rents for 1 week, it will cost her the same at either company

A = 105(1) = 105

B = 100(1) +5 = 105   True

If Marguerite rents for 1 week, it will cost her more if she rents from Company A  

A = 105(1) = 105

B = 100(1) +5 = 105    False

h(x) = 5x – 5  

h(x) = f(x) – g(x)

      =15(7x) - ( 100x + 5)

      = 105x - 100x -5

      = 5x-5   True

h(x) = 5x + 5  False

Answer:

If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.

If Marguerite rents for 1 week, it will cost her the same at either company.

h(x) = 5x - 5.

Step-by-step explanation:

Company A: f(x) = 15(7x)

Company B: g(x) = 100x + 5

h(x) = f(x) - g(x)

So, the function h(x) is the difference between Company A's rental and Company B's rental.

h(x) = (15(7x)) - (100x + 5)

= (105x) - (100x + 5)

= 105x - 100x - 5

= 5x - 5

h(x) = 5x - 5.

Let's say that Marguerite rents for 1 week. In Company A, that will cost her 15 * 7 = 105. In Company B, it will cost her 100 + 5 = 105. So, if Marguerite rents for 1 week, it will cost her the same at either company.

Let's say that Marguerite rents for 2 weeks. In Company A, that will cost her 15 * 7 * 2 = 30 * 7 = 210. In Company B, it will cost her 100 * 2 + 5 = 200 + 5 = 205. So, if Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.

Hope this helps!

Answer:

4??

Step-by-step explanation:

Although, philosophers would love to give you a different answer (like 5)

Answer:

It is 4.

Step-by-step explanation:

Answer:

45 mph, 31 degrees

Step-by-step explanation:

The resulting speed is 45 mph, 31 degrees.

You must be familiar with two of the three metrics—speed, distance, and time—in order to utilize the speed, distance, and time calculator above or perform this type of arithmetic on your own.

You must change the units of measurement from the metrics to the same ones for time and distance, such as miles, kilometers, meters, yards, feet, and hours, minutes, or seconds. Time should be expressed in hours if, for instance, speed is given in mph (miles per hour).

Speed should be expressed in kilometers per hour if the distance is in kilometers (kilometers per hour).

Therefore, The resulting speed is 45 mph, 31 degrees.

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For the given data, the range, variance, and standard deviation is 1.47, 0.1716, and 0.414, respectively.

To find the range, subtract the minimum value from the maximum value in the set of data. The minimum value is 0.48 and the maximum value is 1.95, so the range is: 1.95 - 0.48 = 1.47.

To find the sample variance, follow these steps.

1. Calculate the mean of the data set.

2. Subtract the mean from each value in the data set.

3. Take the summation of the squares of the result.

4. Divide the sample size minus 1.

Upon calculation, the sample variance is 0.1716.

Lastly, to find the sample standard deviation, take the square root of the sample variance: √0.1716. = 0.414.

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Answer:

The distribution is  Poisson distribution

Step-by-step explanation:

From the question we are told that

   An expected number of fish was caught per hour is  1.5

The distribution that best characterize the number of fish you catch in one hour of fishing is the Poisson distribution

   This because generally the  Poisson distribution is a distribution that shows the number of times a given event will occur within a defined period of time

Answer:

C.

Step-by-step explanation:

the one u had highlighted

The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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Answer:

6.33

Step-by-step explanation:

The day, from the following two days, which would be the best to sell both stocks with the closing price is day 3 by an amount of $2.45.

Given are the closing prices of two stocks in three days.

If you purchase 65 shares of Metropolis stock and 50 shares of Suburbia stock on Day 1 at the closing price,

Amount invested = (65 × 17.95) + (50 × 5.63) = $1448.25

If the stock is sold in day 2,

Amount received = (65 × 18.25) + (50 × 4.98) = $1435.25

Profit = $1435.25 - $1448.25 = -$13

If the stock is sold in day 3,

Amount received = (65 × 18.28) + (50 × 5.25) = $1450.7

Profit = $1450.7 - $1448.25 = $2.45

The profit is more for day 3 than day 2.

Hence it is best to sell on day 3 by $2.45.

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