Which of the following measurements could be the side lengths of a right triangle?
a. 30 in, 45 in, 50 in
b. 25 in, 40 in, 50 in
c. 30 in, 40 in, 60 in
d. 30 in, 40 in, 50 in

Quantity: 1,000 items

Price: $80 per item

Fixed cost: $20,000

Variable cost: $40 per item

The fixed cost stays the same, the total variable cost is:

Total variable cost (TVC) = variable cost * quantity

TVC = $40 * 1,000 = $40,000

Total costs = TVC + Fixed costs = $40,000 + $20,000 = $60,000

Te income is:

Income = price * quantity = $80 * 1,000 = $80,000

The profit is income minus total costs:

Profit = income - total costs = $80,000 - $60,000 = $20,000

Profit = $20,000

The answer is 81 your welcome!☺

Answer:B

Step-by-step explanation:

Answer:

Amount Dan has = $17

Amount Ann has = $27

Amount Pablo has = $34

Step-by-step explanation:

Total amount they have = $78

Let

Amount Dan has = x

Amount Ann has = x + 10

Amount Pablo has = 2x

Total = Dan + Ann + Pablo

78 = x + (x + 10) + 2x

78 = x + x + 10 + 2x

78 = 4x + 10

78 - 10 = 4x

68 = 4x

x = 68/4

x = 17

Amount Dan has = x = $17

Amount Ann has = x + 10

= 17 + 10

= $27

Amount Pablo has = 2x

= 2(17)

= $34

Since the line of best fit represents the best linear model given the data, we can see that if y = 44 (pounds), then we are looking at the expected length of a catfish that weighs 44 pounds.

The maximum length of the tent from the material is given by A = 4 meters

Given data ,

Let the maximum length of the tent from the material be A

Now , each square piece of material covers an area of 16 m², so six pieces of material will cover a total area of 6 x 16 = 96 m²

Let's assume that the length of the tent is z meters, then the area of each side of the tent will be z² square meters. Since there are four sides, the total area of the sides will be 4z² meters²

The roof and the floor will each require one square piece of material, for a total of 2 x 16 = 32 m²

Therefore, the total area covered by the tent will be 4z² + 32 meters²

We know that the total area covered by the tent cannot exceed the area of the material that Jane has, which is 96 m².

Therefore, we can set up the inequality

4z² + 32 ≤ 96

On simplifying , we get

4z² ≤ 64

Dividing by 4, we get

z² ≤ 16

Taking the square root of both sides, we get

z ≤ 4

Hence , the maximum length of tent that Jane can make from the material she has is 4 meters

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Answer:

0.969

Step-by-step explanation:

use the z-score formula to convert the values.

z = (X - υ) / σ

where X is the test statistic, υ is the mean, σ is the standard deviation.

z = (18 - 31) / 7

= -1.857

area in z-score table (this is area to left of <18) is 0.0314.

P(>18) = 1 - 0.0314 = 0.969

Answer:

7 feet long

Step-by-step explanation:

This set up will give a right angle triangle where;

Length of the ladder is the hypotenuse = x

The distance of the ladder to the house is the adjacent = 3 feet

Angle of elevation theta = 72 degrees

Using the CAH in trigonometry identity;

cos theta = adjacent/hypotenuse

cos 72 = 3/hyp

hyp = 3/cos72

hyp = 3/0.4258

hyp = 7.05 feet

Hence the ladder is approximately 7 feet long

Answer: I can't really tell without a graph but from what I see when I use my graphing calculator it's a linear function

Step-by-step explanation:

The orbit type of the Molniya 1-91 satellite is Molniya orbit, characterized by a highly eccentric orbit inclined at an angle of 63.17 degrees to the Earth's equator. The orbital parameters, namely the semi-major axis (a) and the argument of perigee (ω), are required to determine the satellite's position and velocity vectors.

a) The Molniya 1-91 satellite follows a Molniya orbit, which is a type of highly eccentric orbit designed to provide extended dwell time over high latitudes. This orbit is characterized by a high inclination angle of 63.17 degrees with respect to the Earth's equator. Molniya orbits are commonly used for communication satellites that serve polar regions, as they spend a significant portion of their orbit over these areas.

b) To determine the orbital parameters of the Molniya 1-91 satellite, we need to extract the relevant information from the two-line element set. The semi-major axis (a) is not directly provided in the given data. However, we can calculate it using Kepler's third law and the mean motion (n) derived from the second line of the TLE. The argument of perigee (ω) is given as 281.6462 degrees in the TLE. These parameters, along with other orbital elements, are crucial for describing the satellite's orbit.

c) To calculate the position and velocity vectors of the Molniya 1-91 satellite in the geocentric equatorial coordinate frame, we need additional information. The TLE only provides elements related to the orbit's shape and orientation, not the satellite's current position and velocity. Position and velocity vectors can be determined by solving the equations of motion using the orbital parameters and mathematical models of celestial mechanics. However, without up-to-date information on the satellite's time and date, it is not possible to calculate these vectors accurately.

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Natalie’s net income for the month of October is $1,930.

It is Given, Natalie's monthly income statement for October. The Total wages are 3,000 dollars and the total expenses are 1,070 dollars.

The net income of a person is the income that is left after the deduction of all expenses and costs from the total revenue.

Net Income = Total Revenue - Total expenses

Natalie’s total wage is $3,000, and her expenses as $1,070.

Natalie’s net income = $3,000 - $1,070

                                  = $1930

Therefore, Natalie’s net income for the month of October is $1,930.

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Answer:

C

Step-by-step explanation:

The percentage of people in the U.S. celebrate winter holidays such as hanukkah, christmas, and kwanzaa is above 90%.

This holiday season, it should be noted that that 92% of Americans will celebrate Christmas, 5% will celebrate Hanukkah, and 3% will celebrate Kwanzaa. Five percent will celebrate more than one holiday

America has come to appreciate Hanukkah. Hanukkah is celebrated by the majority of American Jews, at least with a family meal or the lighting of a menorah, and the majority of non-Jews in America are aware of the holiday.

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Answer:

=A is the answer of your question

The slope of a line n is 0. Therefore, option B is the correct answer.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

Slope of a horizontal line. When two points have the same y-value, it means they lie on a horizontal line. The slope of such a line is 0, and you will also find this by using the slope formula.

Therefore, option B is the correct answer.

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Answer: y = 3x+9

Step-by-step explanation:

points are -2,3 and -1,6

6-3/-1-(-2) = 3

y-int is 9 since its given

A total of 23, 950, 080 results are possible.

We are given;

10 women

12 men

5 men and 5 women, chosen and pared off, how many results in total?

Thus;

[10 choose 5] x [12 choose 5]=252 x 792 = 199584 ways

We then need to know how many ways there could put into pairs i.e. For the first woman, there will be 5 choices of men. For the second woman, there will be 4 choices remaining of men. For the third woman, there will be 3 choices remaining. For the fourth woman, there will be only 2choices remaining, and only 1 choice left for the last woman.

Therefore, there are 5x4x3x2x1 = 120 ways.

 In total there are 199584x120 = 23950080 total  ways

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Answer:

5 ,  6,  2

Step-by-step explanation:

cause they da same

Answer:

Im pretty sure it would be C

Step-by-step explanation:

The location of R on the number line will be 15/7 so option (C) will be correct.

In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

In another word, a number line is basically a line in which infinite numbers have been written in ascending order or increasing order.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

Distance from S to T = 3 + 9 = 12

So,

SR + RT = 12

And given,

SR/RT = 3/4 ⇒ SR = (3/4)RT

By substitution,

(3/4)RT + RT = 12

RT ( 7/4) = 12

RT = 48/7

Now the location of point R ⇒

OT - RT = 9 - 48/7 = 15/7

Hence "The location of R on the number line will be 15/7".

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Answer:

Graph D is correct

Step-by-step explanation:

This is complicated because the scales on the x-axis and y-axis are not the same. Graph D has the correct y-intercepts and the correct slopes. The solution is x = 500, where the two lines intersect.

Answer:

56

Step-by-step explanation:

Answer:

i think it is 56 if it is wut i think it is

Step-by-step explanation:

The weights of the liters of water are 49.75 kg and 4.975 kg

From the question, we have the following parameters that can be used in our computation:

1l of water weighs almost 0,995 kg.

This means that

Weight = 0,995 kg

For 50 l, we have

Weight = 50 * Weight  of 1 liter

Substitute the known values in the above equation, so, we have the following representation

Weight = 0,995 * 50 kg

Evaluate

Weight = 49.75 kg

For 0.5 l, we have

Weight = 0.5 * Weight  of 1 liter

So, we have

Weight = 0.995 * 0.5 kg

Evaluate

Weight = 4.975 kg

Hence, the weights are 49.75 kg and 4.975 kg

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The goal of a confidence interval is to estimate an unknown parameter. It consists of an estimate from a sample, the standard error of the statistic, and a level of confidence.

To validate the definition of a confidence interval, a simulation can be conducted. Starting with a 90% confidence interval and a sample size of 15, we can observe if the interval contains the true mean. Increasing the number of simulations to 1000, we can assess whether approximately 90% of the sample means result in intervals that contain the true parameter. Additionally, by decreasing the number of simulations to 100, we can identify the intervals that do not contain the true mean.

In the simulation, intervals that do not contain the true mean are indicated in red. One common feature of these intervals is that their sample means tend to be located farther away from the sample means of the intervals that do contain the parameter. This demonstrates the impact of sample variability on the construction of confidence intervals.

By performing the steps using different confidence levels (95% and 99%) and varying sample sizes, we can observe how these factors affect the width of the confidence intervals. Increasing the confidence level leads to wider intervals, while increasing the sample size tends to result in narrower intervals. In conclusion, the simulation allows us to visualize and validate the concept of confidence intervals, helping us understand the relationship between confidence level, sample size, and the precision of our estimates.

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Answer:

100+80+60+40+20×12345 =247.100

Step-by-step explanation:

oay iam sory girl

Answer is the following

C) x = 0

The distance it will reach to  x, = 46.6 feet

acc to our question-

hence,The distance it will reach to  x, = 46.6 feet

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Answer:

31.2 inches

Step-by-step explanation:

Draw a line representing the height of the triangle, and divide it into 2 triangles.

Apply Pythagoras Theorem on one of the smaller triangles first.

\(h = \sqrt{ {36}^{2} - {(36 \div 2)}^{2} } \\ h = \sqrt{ {36}^{2} - {18}^{2} } \\ h = \sqrt{972} \\ h = 31.17691...\)

h = 31.2 inches (rounded to the nearest tenth)

Answer:

\((fog)(x) = - {x}^{2} + x + 9\)

Step-by-step explanation:

\((fog)(x) = f(g(x)) \\ = - ( {x}^{2} - x - 4) + 5 \\ = - {x}^{2} + x + 4 + 5 \\ = - {x}^{2} + x + 9\)

I hope I helped you^_^

The correct property of the quadratic parent function is given by:

B. Its vertex is at the origin.

The quadratic parent function is modeled by:

y = x².

It has the vertex at the origin and increases to the left and to the right, into quadrants I and II, forming a function that is graphed by a parabola.

Hence the correct option regarding a property of the quadratic parent function is given by:

B. Its vertex is at the origin.

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Answer:

Step-by-step explanation:

Our equation is

\(b(t)=x(2)^t\) where x is the initial amount and the growth rate is 2 (doubling). t is time in hours.

For part b

\(3x=x(2)^t\) which is asking how long it will take for the initial x amount of bacteria to grow to 3 times in size.

Divide both sides by x to get

\(3=2^t\) then take the ln of each side in order to bring down the t from its exponential position:

\(ln(3)=t*ln(2)\)

Divide both sides by ln(2) to get the value for t on your calculator.

t = 1.58 hours

Answer:

yes absolutely

Step-by-step explanation:

every angle adds up to 180 degrees