Help me please I REALLY NEED HELP WITH THIS 10 points

Option a. The car is 115.47 feet from the building is correct for the given right triangle.

A trigonometric formula known as the rule of sines connects any triangle's sides and angles. It claims that for all three sides of a triangle, the ratio of the length of one side to the sine of the angle opposite that side is the same. In other words, if a triangle has angles A, B, and C opposing its sides and sides a, b, and c, then:

If a/sin(A) = b/sin(B) = c/sin(C), then

If some of the other sides and angles of a triangle are known, this formula can be used to solve for those unknown sides or angles. However, it is restricted to triangles and calls for the measurement of at least one angle and one side's length.

The situation can be depicted as a right triangle, with building 200 feet, the angle of depression is 30 degrees.

Now,

tan(30) = opposite/adjacent = 200/distance

distance = 200/tan(30) ≈ 115.47 feet

Hence, option a. The car is 115.47 feet from the building is correct for the given right triangle.

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Answer:here ya go boys

Step-by-step explanation:

Answer:

No matter where the center of rotation is located on the coordinate plane, each point in the preimage is the same distance from the point of rotation as its corresponding point in the rotated images. This distance is not affected by changing the location of P. Although this investigation covered vertices only, it's clear that any point on a shape or figure will be affected similarly.

Step-by-step explanation:

Thanks to plato FOOOOOLLLLL

Answer:

2

Step-by-step explanation:

\(\frac{1}{4}\) a cup detergent for \(\frac{1}{2}\) a load of clothes would mean for each full load, it would take \(\frac{1}{2}\) a cup of detergent.

Thus if you have 4 load of clothes, which is 8 half loads. You can take that 8 half loads and multiply \(\frac{1}{4}\) by 8. This gives you 2 cups of detergent.

It is true that Random assignment to treatments helps control for lurking variables

The main purpose for using randomization in an experiment is to create sure that the results are accurate. you wish to avoid biasis and lurking variables. Having a randomized experiment will facilitate your to create sure that your information is correct

The main purpose for using randomization in an experiment is to manage the lurking variable and establish a cause and effect relationship. Also, by randomizing an experiment the evidence is more supported

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On solving the provided question, we can say that - To achieve the most accurate estimate of the Mississippi River flow, round the result up to the nearest hundred. 16,800 cubic m per second

The nearest multiple of 100 is added to a number when it is rounded to the nearest hundreds. Rounding up occurs when the subsequent 100-multiple exceeds the initial value. Truncated numbers are those whose next multiple of 100 is smaller than the original value.

Imagining that the Mississippi River is moving at a speed of 16,790 cubic meters per second.

Round the value up to the next hundreds to obtain the most accurate estimate of the Mississippi River flow.

16,800 cubic meres per second

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The simplest form is (-2 ±√12)/2.

What is simplification?

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

Here, we have

Given: x = (-4 ±√48)/4

We have to simplify the given term.

x = (-4 ±√48)/4

x =  (-4 ±√12×4)/4

x =(-4 ±2√12)/4

Now, we take 2 as common and get

x = (-2 ±√12)/2

Hence, the simplest form is (-2 ±√12)/2.

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Answer :

Yes

Explanation :

A bond in finance may be defined as an instrument of the indebtedness of a bond. It is a fixed income instrument that shows a loan by investors. Bonds may be in mutual funds or in private funding.

Here in the question it is given that WSJ is a company and it listed a bond on the market as Acme 9s13.

The price of the bond 89.875

The rate of return rate will be = 10%

So I will buy the bond of WSJ in the year 2001 as it will give a return of $ 931.00

Answer:

∠ ADE = 59°

Step-by-step explanation:

The angles in a rectangle are right angles, then

∠ ABC = 90° , that is

4x + 15 + 13x + 7 = 90

17x + 22 = 90 ( subtract 22 from both sides )

17x = 68 ( divide both sides by 17 )

x = 4

Then

∠ CBE = 13x + 7 =  13(4) + 7 = 52 +7 = 59°

Since the sides in a rectangle are parallel then

∠ ADE = ∠ CBE ( alternate angles )

∠ ADE = 59°

The probability that it will be used to make a cold sandwich is  option a: 16/27.

The full amount of unique sandwich options is the sum of the hot and cold options can be sum up as:

Total options = Hot + Cold

                     = 5+9+6+2+10+5+8+9

                               = 54

Note that the amount of unique cold sandwich are the sum of the options that are: cold bread, deli meat, cheese, and sauce so,

Number of cold options =

 Cold = 10+5+8+9

        = 32

So, the probability that a random item will be used to make a cold sandwich will be:

Probability of cold sandwich = Number of cold options / Total options

                                              = 32/54

                                                  = 16/27

Hence the probability that it  will be used to make a cold sandwich is 16/27.

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See text below

The table shows the number of unique sandwich options available at

a local store in both cold and hot categories:

                        Hot    Cold

Bread                 5     10

Deli Meat          9        5

Cheese            6          8

Sauce             2           9

A random item is chosen, what is the probability it is used to make a cold sandwich?

16/27

9/22

1/2

11/27

Check the picture below.

\((14x+38)+(6x-18)=180\implies 20x+20=180\implies 20x=160 \\\\\\ x=\cfrac{160}{20}\implies x=8\hspace{9em}\underset{ \measuredangle A }{\stackrel{ 6(8)-18 }{\text{\LARGE 30}^o}}\)

Answer: The greatest common factor is 5.

The optimal profit is $38.

What is the optimal profit?

The optimum profit is the highest level of profit that an individual can achieve. An individual is at the optimum profit level when the marginal revenue from the sale of a commodity equals the marginal cost of production.

Here,

We have to determine the optimal prices for the dessert that the restaurant should charge during the evening hours and during the day, the associated quantities sold, and the total daily profit.

Since dessert is the signature mousse of the restaurant implies the restaurant is a monopolist in this case.

So, profit-maximizing condition would be

μ(R) = μ(C)

Now, for daytime μ(R)d = μ(C)t never hold. So it is profitable to produce until

μ(R)d > μ(C)t.

Since, μ(R)d < μ(C) for Q(d) = 2 implies that:

The optimal price in the daytime is $10 when the output is 1.

Now, for evening μ(R)e = μ(C)t hold when Q(e) = 6

So, the optimal price in the evening is $14 when the output is 6.

Optimal profit = P(e) × Q(e) + P(d) × Q(d) - (μ(C₁) + μ(C₂))(Q(e)+Q(d))

= 14×6+ 10×1 - (3+5)(6+1)

= 38

Hence, the optimal profit is $38.

Question: A restaurant faces very high demand for its signature mousse desserts in the evening but is less busy during the day. Its manager estimates that the inverse) demand curves are pe = 20 - Q. in the evening and pa = 11 - Q. during the day, where e and d denote evening and daytime. The marginal cost of producing its dessert, MC1, is $3. Any morning, the restaurant can bring in additional tables and convert its storage space to seating to increase capacity for that day. Creating enough extra capacity to provide one more dessert in the evening or the day costs $5, which is the restaurant's marginal capacity cost MC. Pe 20 Qe Pa 11 Qd MC 3 MC2 5 MR. 20 MR. 11 = = 2 Qe.

Determine the optimal prices for the dessert that the restaurant should charge during the evening hours and during the day, the associated quar ties sold, and the total daily profit. The optimal price in the daytime is when the output is in the evening is when the output is The optimal price The optimal profit is

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Answer:

$7

Step-by-step explanation:

38-3=35

35/5=7

The standard form of the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3) is (2x - y = -1)

To determine the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3), we can follow these steps:

1. Obtain the slope of the provided line.

To do this, we rearrange the equation (3x + 6y = 5) into slope-intercept form (y = mx + b):

6y = -3x + 5

y =\(-\frac{1}{2}x + \frac{5}{6}\)

The slope of the line is the coefficient of x, which is \(\(-\frac{1}{2}\)\).

2. Determine the slope of the line perpendicular to the provided line.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the provided line.

So, the slope of the perpendicular line is \(\(\frac{2}{1}\)\) or simply 2.

3. Use the slope and the provided point to obtain the equation of the perpendicular line.

We can use the point-slope form of a line to determine the equation:

y - y1 = m(x - x1)

where x1, y1 is the provided point and m is the slope.

Substituting the provided point (1, 3) and the slope 2 into the equation, we have:

y - 3 = 2(x - 1)

4. Convert the equation to standard form.

To convert the equation to standard form, we expand the expression:

y - 3 = 2x - 2

2x - y = -1

Rearranging the equation in the form (Ax + By = C), where A, B, and C are constants, we obtain the standard form:

2x - y = -1

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Answer:

- 12

Step-by-step explanation:

Answer: -12 If you're trying to do 3 x negative 4.

Step-by-step explanation: I'm not sure what you're trying to do, that algebra stuff or just simply 3 x -4.

a) To find the number of fidget spinners made, we need to solve the equation that represents Chase's cost. The cost function is given as follows:

Cost = 8340 = 16x + 12x + 1788

Simplifying the equation:

8340 = 28x + 1788

Subtracting 1788 from both sides:

6552 = 28x

Dividing both sides by 28:

x = 234

Therefore, Chase made 234 fidget spinners.

b) The profit function can be calculated by subtracting the cost function from the revenue function. The revenue function is given by:

Revenue = Selling price per spinner * Number of spinners sold

Revenue = 16x

The profit function is obtained by subtracting the cost function from the revenue function:

P(x) = Revenue - Cost

P(x) = 16x - (16x + 12x + 1788)

Simplifying the equation:

P(x) = 16x - 28x - 1788

P(x) = -12x - 1788

c) To break even, the profit must be zero. So we set the profit function equal to zero and solve for x:

-12x - 1788 = 0

-12x = 1788

x = 149

Therefore, Chase must produce 149 fidget spinners in order to break even.

d) If Chase makes more than 149 fidget spinners, his profit will be positive. This means he will make a profit. If Chase makes fewer than 149 fidget spinners, his profit will be negative, indicating a loss.

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Answer:

9 nights

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(-7, 4) and B(3,-4)

The midpoint is

We have the final answer as

Hope this helps you

The area of the rectangle Stephanie draws with a width of 5 inches and a length of 5 square inches is 25 square inches.

To calculate the area of a rectangle, you simply multiply its length by its width. In this case, the width is 5 inches, and the length is 5 square inches.

Since the units of measurement are different for width and length, it is important to treat them separately. When we multiply 5 inches by 5 square inches, we get 25 square inches as the answer.

It is important to note that the area of a rectangle is always measured in square units, as it represents the amount of space enclosed by the rectangle's two-dimensional shape.

The area is a crucial measurement when it comes to real-world applications, such as calculating the amount of material needed to cover a surface or the amount of space required for an object to fit in a particular area.

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Answer:

\(x=1\)

Step-by-step explanation:

So we have the equation:

\(30-3x=15+12x\)

First, let's add 3x to both sides. The left side cancels:

\(30=15+15x\)

Now, subtract 15 from both sides. The right cancels:

\(15=15x\)

Divide both sides by 15:

\(x=1\)

So, the value of x is 1.

And we're done!

Answer:

1 =x

Step-by-step explanation:

30 - 3x = 15 + 12x

Add 3x to each side

30 - 3x+3x = 15 + 12x+3x

30 = 15x +15

Subtract 15 from each side

30-15 = 15x+15-15

15 =15x

Divide each side by 15

15/15 = 15x/15

1 =x

All of the following are measures of central tendency except the range

Mean

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

The mode, median, and mean are the three primary metrics for assessing central tendency. These metrics each give a different indication of the average or central value in the distribution.

Mode

The highest frequency of data and how many times the element is repeated in the data set is known as the mode value.

Median

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average.

Mean, median and mode are different measures of center in a numerical data set. They each try to summarize a dataset with a single number to represent a typical data point from the dataset.

When there are extremes in the sequences that might affect the average of the numbers the median is sometimes employed instead of the mean.

Thus, all of the following are measures of central tendency except the range

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δ10 is approximately equal to -25.5 ln(0.6) based on the given function a(t).

To calculate δ10, we need to evaluate the integral of a(t) from t = 0 to t = 10.

Let's break down the process step by step:

Given: \(a(t) = (1.02)t(1 - 0.04t)^{-1\)

Integrate the function a(t).

\(\int a(t) dt = \int(1.02)t(1 - 0.04t)^{-1} dt\)

Apply the substitution method.

Let u = 1 - 0.04t

Then, du = -0.04 dt, or dt = -du/0.04

Rewriting the integral with the substitution:

\(\int(1.02)t(1 - 0.04t)^{-1}dt = \int(1.02)t/u (-1/0.04) du\)

= -25.5 ∫ t/u du

Step 3: Integrate with respect to u.

-25.5 ∫ t/u du = -25.5 ln|u| + C

= -25.5 ln|1 - 0.04t| + C

Evaluate the definite integral.

To calculate δ10, we substitute the upper and lower limits of integration into the antiderivative:

δ10 = [-25.5 ln|1 - 0.04t|] from 0 to 10

= [-25.5 ln|1 - 0.04(10)|] - [-25.5 ln|1 - 0.04(0)|]

= [-25.5 ln|0.6|] - [-25.5 ln|1|]

= -25.5 ln|0.6|

Using a calculator, we can evaluate the natural logarithm:

δ10 ≈ -25.5 ln(0.6)

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Answer:2

Step-by-step explanation:

Answer:

y = \(\frac{1}{4}\) x - 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given m = \(\frac{1}{4}\) , then

y = \(\frac{1}{4}\) x + c ← is the partial equation

to find c substitute (- 8, - 8 ) into the partial equation

- 8 = - 2 + c ⇒ c = - 8 + 2 = - 6

y = \(\frac{1}{4}\) x - 6 ← equation of line

1. The mean of a dataset represents the average value of the entire set of numbers. It is calculated by adding up all the values and dividing by the number of values in the dataset. Knowing the standard deviation of a dataset adds information about how much the values deviate from the mean.

A high standard deviation indicates that the values are more spread out from the mean, while a low standard deviation indicates that the values are closer to the mean. It can help to identify outliers and the overall variability of the dataset.

2. A p-value is a statistical measure that helps to determine whether the null hypothesis (there is no significant difference between two groups) is true or false.

It is the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. A p-value of less than 0.05 (typically) is considered statistically significant, which means that there is strong evidence to reject the null hypothesis and accept the alternative hypothesis (there is a significant difference between the two groups).

3. Alpha is the level of significance that is set to determine whether a p-value is statistically significant or not. It is typically set at 0.05, which means that if the p-value is less than 0.05, then the result is considered statistically significant and the null hypothesis is rejected.

If the p-value is greater than 0.05, then the result is not statistically significant and the null hypothesis cannot be rejected. In summary, alpha and p-value are related because alpha sets the threshold for determining whether a p-value is statistically significant or not.

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Answer:

The distance between these 2 points is 13.

Step-by-step explanation:

Picture the 2 points on a graph as a right triangle, where the hypotenuse of that right triangle is the distance between the points. It is very easy to find the length of the legs of that triangle, and you can use those legs to calculate the length of the hypotenuse.

First, find the vertical distance, or the distance between the y-coordinates. Either just look at a graph and count, or subtract them.

\(-6-6=-12\)

Distance is an absolute value from 0, so -12 is the same as 12.

Next, find the horizontal distance between the x-coordinates.

\(1--4=5\)

Now, we have the length of the legs, 5 and 12. Use the pythagorean theorem to find the length of the hypotenuse:

\(a^2+b^2=c^2\\5^2+12^2=c^2\\25+144=c^2\\c^2=169\\c=\sqrt{169}\\c=13\)

The distance between these 2 points is 13.

Ju Long has 6 guppies in his aquarium, which represents 24% of the total fish in the aquarium. To find the total number of fish in Ju Long's aquarium, we can set up a proportion and solve for the unknown quantity.

Let's assume the total number of fish in Ju Long's aquarium is represented by "x". We know that 6 guppies constitute 24% of the total fish. This can be expressed as (6 / x) = 24 / 100, where the left side represents the proportion of guppies and the right side represents the percentage.

To solve this proportion, we can cross-multiply and solve for x:

(6 / x) = 24 / 100

6 * 100 = 24 * x

600 = 24x

Dividing both sides of the equation by 24:

x = 600 / 24

x = 25

Therefore, the total number of fish in Ju Long's aquarium is 25.

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Answer:

I think that it is 18π sq in

Step-by-step explanation:

U do surface area of a cylinder

SA=2πrh+2πr^2