213=22: Z=14 Select True or False for each equation as is state
O True
O False
5x=25

9514 1404 393

Answer:

  27

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the arc it subtends.

  ∠P = (RT)/2

  ∠P = 54/2

  ∠P = 27

Answer:

(1/x + 1/y)k is the answer :)

Step-by-step explanation:

The definite integral of sin^5(x)dx from 0 to pi/2 can be evaluated using the method of substitution.

Let u = sin(x), then du = cos(x)dx

The integral becomes:

∫sin^5(x)dx = ∫u^5du from 0 to sin(π/2)

= (u^6)/6 evaluated at sin(π/2) and 0

= (sin^6(π/2))/6 - 0

= (1^6)/6

= 1/6

So, the definite integral of sin^5(x)dx from 0 to pi/2 is equal to 1/6.

The midpoint is 26.

Midpoint in this scenario = mean

(23+29)/2 = 26

Answer:

-6

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is literally impossible to answer without the numbers of how many different color marbles in the bag so if you post those then i can help you

Answer:

A bag contains 10 red marbles, 8 blue marbles and 2 yellow marbles. Find the experimental probability of getting a blue marble. Solution: Take a marble from the ...

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The number of years must be non-negative.

This eliminates all of the options except for d.

Answer:

the large boxes=70

the small boxes= 60

Step-by-step explanation:

large boxes) 60 x 70 = 4,200

small boxes) 25 x 60 = 1,500

                                      5,700

In a case whereby In 1950, a U.S. population model was y = 151. (1.013)^t-1950 million people, where t is the year, the model predict the U.S. population would be 288 million in the year 2000.

Population models are mechanical theories that link alterations in population structure and density to responses at the individual level (life history features in eco-evolutionary theory or vital rates in demographic theory).

The model was given as y=151x(1.013)^t-1950

where the future time t = 2000

Then we can substitute the given year 2000 as the value of 't'

then we will have y=[151x(1.013)^(2000-1950)] = 288 million

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Step 1:

Step 2:

There are pairs of each figure.

Area of X = L x H

Area of Y = H x B

Area of Z = B x L

Total surface area of a rectangular prism = 2LH + 2LB + 2BH

of

Answer:

Deniz's expected winnings if she chooses rock are $30. If she chooses paper, her expected winnings are $20. If Deniz wants the best payoff in the long run, she should choose paper.

Expected winnings for rock:

Deniz wins against scissors with probability of 30%, and loses against paper with probability of 20%, so her expected winnings are (0.3100) - (0.2100) = 30

Expected winnings for paper:

Deniz wins against rock with probability of 50%, and loses against scissors with probability of 30%, so her expected winnings are (0.5100) - (0.3100) = 20

Answer:

56 degrees

Step-by-step explanation:

Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).

You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)

There were 850 college students surveyed. 132 students owned a tablet and a gaming system, but not a laptop. There seems to be an error in the data or the calculations for part c. 467 students owned exactly two of these devices. 824 students owned at least one of these devices.

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

a) To find the total number of college students surveyed, we can start by adding the number of students who own a tablet, a laptop, or a gaming system:

359 (tablet) + 294 (laptop) + 284 (gaming system) = 937

However, this includes some students who own more than one device. We need to adjust for the overlap:

195 own a tablet and a laptop

200 own a tablet and a gaming system

140 own a laptop and a gaming system

68 own all three devices

To get the total number of unique students who own at least one device, we can subtract the overlap from the initial sum:

937 - (195 + 200 + 140 - 68) = 850

Therefore, 850 college students were surveyed.

b) From the given information, we know that 200 students own a tablet and a gaming system, and 68 own all three devices. Therefore, the number of students who own a tablet and a gaming system, but not a laptop, is:

200 - 68 = 132

Therefore, 132 college students own a tablet and a gaming system, but not a laptop.

c) To find the number of students who own a laptop, but neither a tablet nor a gaming system, we can start by adding the number of students who own a laptop and then subtract the overlap:

294 (laptop) - 195 (tablet and laptop) - 140 (laptop and gaming system) - 68 (all three) = -9

This suggests that there is an error in the data or the calculations, since we cannot have negative students. It is possible that there was a typo or mistake in the original problem.

d) To find the number of students who own exactly two devices, we can add up the number of students who own each pair of devices and subtract the overlap:

195 own a tablet and a laptop

200 own a tablet and a gaming system

140 own a laptop and a gaming system

68 own all three devices

195 + 200 + 140 - 68 = 467

Therefore, 467 college students own exactly two of these devices.

e) To find the number of students who own at least one of these devices, we can simply subtract the number of students who own none of these devices from the total number of students surveyed:

850 - 26 = 824

Therefore, 824 college students surveyed own at least one of these devices.

Therefore,There were 850 college students surveyed. 132 students owned a tablet and a gaming system, but not a laptop. There seems to be an error in the data or the calculations for part c. 467 students owned exactly two of these devices. 824 students owned at least one of these devices.

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The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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Answer:

-7

Step-by-step explanation:

f(x)=4x+5
f(-3)=4x+5
=4(-3)+5
-12+5
f(-3)= -7

The "x" in f(x) is the "x" in the equation

The domain of the function f(x) = -3x + 2 is (-∞, +∞), representing all real numbers, and the range is (-∞, 2], representing all real numbers less than or equal to 2.

The function f(x) = -3x + 2 is a linear function defined by a straight line. To determine the domain of this function, we need to identify the range of values for which the function is defined.

The domain of a linear function is typically all real numbers unless there are any restrictions. In this case, there is no explicit restriction mentioned, so we can assume that the function is defined for all real numbers.

Therefore, the domain of the function f(x) = -3x + 2 is (-∞, +∞), which represents all real numbers.

Now, let's analyze the range of the function. The range of a linear function can be determined by observing the slope of the line. In this case, the slope of the line is -3, which means that as x increases, the function values will decrease.

Since the slope is negative, the range of the function f(x) = -3x + 2 will be all real numbers less than or equal to the y-intercept, which is 2.

Therefore, the range of the function is (-∞, 2] since the function values cannot exceed 2.

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The domain is:

D: {-4, 5, 6, 8}

The range is:

R: {-4, 3, 5}

And yes, the relation is a function.

For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).

Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}

The domain is the set of the first values of each pair, so we have:

D: {-4, 5, 6, 8}

The range is the set of the second values of each pair:

R: {-4, 3, 5}

Now, is this a function?

Yes, it is a function, because each input is mapped into only one output.

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Answer:

the coefficient of x is an implied 1

any variable that's by itself without a coefficient has an implied 1

Step-by-step explanation:

I hope this helps :)

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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Answer:

36

Step-by-step explanation:

Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.

To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.

Derrick planted 20% of the 150 strawberry plants:

20% of 150 = (20/100) * 150 = 30 strawberry plants.

Janis planted 60% of the 150 strawberry plants:

60% of 150 = (60/100) * 150 = 90 strawberry plants.

Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.

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Brian is correct, because the graph shows the circle with a center (-3, 2) and a radius of 2.

Since, The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

Brian says the graph shows the circle with a center (-3, 2) and a radius of 2.

And, Mia says the graph shows all possible centers for a circle that passes through (-3, -2) with a radius of 2.

Now, By given graph we can see that,

Center of circle = (- 3, 2)

And, Radius of circle = - 1 + 3 = 2

Hence, Brian is correct, because the graph shows the circle with a center (-3, 2) and a radius of 2.

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Answer:

Step-by-step explanation:

B; So this is a transformation problem from the parent function of f(x)=|x| so the function is is moved 3 units down giving it the -3 at the end and is moved to the right 7 units so it would be x-7

The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

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Answer:

x=3

Step-by-step explanation:

\(-15x+32=13\\-15x=13-32\\-15x=-45\\x=-45/-15\\x=3\)

Step-by-step explanation:

To Solve This Equation You will need to

Original Equation;

-15x+32=-13

•(Firstly you will Group Like Terms)

-15x=-13-32

•(After Grouping you will go ahead and simplify)

-15x=-13-32

(You will have to add the two negative numbers and note that negative plus negative is still negative even though there is no addition sign there but you'll add them because when there is two negatives without a multiplication or division or any other sign you have to add)

-15x=-13-32

-15x=-45

(Then you proceed to divide both sides by -15)

x=3

This is because -45 divided by -15 is positive 3

Positive 3 because the negative signs cancel each other out.

The amount of metal he will need to cover the back of the shelves is 180 inches².

The figure above is like a composite figure. Therefore, lets find the area.

The area of the figure is the sum of the whole individual 2 dimensional shapes in the composite figure.

Therefore, two rectangles can be drawn from it.

area of rectangle = lw

where

l = length

w = width

Therefore,

area of rectangle 1 = 9 × 8 = 72 inches²

area of rectangle 2 = 6 × 18 = 108 inches²

Total area = 108 + 72 = 180 inches²

Therefore, the amount of metal he will need to cover the back of the shelves is 180 inches².

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The value of x is, x = 6 ft

Now, We can formulate;

Area of the polygon = area of the square + 2(area of the triangle)

Here, We have;

Area of the polygon = 176 ft²

So, Area of the square = length × width

                                   = 16 × 8

                                  = 128

And, Area of the two triangles = 2( 1/2 x base x height)

                                               = 2(1/2 × x × 8)

                                               = 8x

Now, Plug in the above values into the equation for area of the polygon.

Thus: We get;

176 = 128 + 8x

Subtract 128 from each side

176 - 128 = 8x

48 = 8x

Divide both sides by 8

6 = x

x = 6 ft

Thus, The value of x is, x = 6 ft

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