The height of a building is
480 feet. on a drawing of the building,
1/2 inch represents 24 feet, what is the
height of
building on the drawing?

Answer:

8/5=1.6

so yeah I hope I do good on everything ellseee

Answer:

Step-by-step explanation:

Answer:

About 2286

Step-by-step explanation:

Let x be the number of the towns population.

14% x = 320

\(\frac{0.14x}{0.14} =\frac{320}{0.14}\)

x = \(2285\frac{5}{7}\)

x is about 2286.

Step-by-step explanation:

Yeah, 10°+15°+18°=43°

Also, they individually are less than 90° so yes

Answer:

\(x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}\)

Step-by-step explanation:

Given trigonometric equation:

\(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)

To solve the equation for x in the given interval [0, 2π), first rewrite the equation in terms of sin x and cos x using the following trigonometric identities:

\(\boxed{\begin{minipage}{4cm}\underline{Trigonometric identities}\\\\$\tan \left(\dfrac{\theta}{2}\right)=\dfrac{1-\cos \theta}{\sin \theta}$\\\\\\$\csc \theta = \dfrac{1}{\sin \theta}$\\ \end{minipage}}\)

Therefore:

              \(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)

\(\implies 2 \left(\dfrac{1-\cos x}{\sin x}\right)- \dfrac{1}{\sin x}=0\)

  \(\implies \dfrac{2(1-\cos x)}{\sin x}- \dfrac{1}{\sin x}=0\)

\(\textsf{Apply the fraction rule:\;\;$\dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}$}\)

\(\dfrac{2(1-\cos x)-1}{\sin x}=0\)

Simplify the numerator:

\(\dfrac{1-2\cos x}{\sin x}=0\)

Multiply both sides of the equation by sin x:

\(1-2 \cos x=0\)

Add 2 cos x to both sides of the equation:

\(1=2\cos x\)

Divide both sides of the equation by 2:

\(\cos x=\dfrac{1}{2}\)

Now solve for x.

From inspection of the attached unit circle, we can see that the values of x for which cos x = 1/2 are π/3 and 5π/3. As the cosine function is a periodic function with a period of 2π:

\(x=\dfrac{\pi}{3} +2n\pi,\; x=\dfrac{5\pi}{3} +2n\pi \qquad \textsf{(where $n$ is an integer)}\)

Therefore, the values of x in the given interval [0, 2π), are:

\(\boxed{x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}}\)

The 1st one/Top one.

X value is different each time. Function can have the same y-value (3, 1), (2, 1) but can't have the same x-value (3, 1) (3, 3)

Answer:

18 ft

Step-by-step explanation:

Convert yards to feet:

 6 yds        3 ft

------------ * ------------ = 18 ft

      1            1 yd

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer: 50% decrease

Step-by-step explanation:

50% of 310 = 155

310-155=155

50% decrease :)

ANSWER: 50% decrease

SOLUTION:

50% of 310 = 155

310-155=155

So in all the answer is.......

50% decrease  :)))))

-XOXOXO:)

Answer:

720, 5040

Step-by-step explanation:

It's always times plus 1. So,
1 x 2 = 2

2 x 3 = 6

6 x 4 = 24

24 x 5 = 120

120 x 6 = 720

720 x 7 = 5040

Answer:

You can do this two ways

1. Divide 170 into 4 parts and multiply by 3.

170/4=42.5

42.5 x 3 = 127.5 so 127.5 is the answer

2. 3/4=0.75

170 x 0.75 = 127.5

or 170/1 x 3/4 = 510/4 = 127 1/2

127 1/2 = 127.5 because 1 divided by 2 is 0.5__127 + 0.5 = 127.5

Hope this helps

Step-by-step explanation:

Answer: 2472 desks.

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

The school district needs to buy 24 desks for each of its 103 classrooms, so it will need to buy a total of 24 * 103 = <<24*103=2472>>2472 desks.

Answer:

(-1, 5)

Step-by-step explanation:

The midpoint of a line segment is given by the formula:

\(\boxed{\text{Midpoint}=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )}\)

Using the formula above,

midpoint of segment

= \((\frac{-1-1}{2},\frac{1+9}{2})\)

= \((\frac{-2}{2},\frac{10}{2})\)

= (-1, 5)

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Answer: (6,-6)

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula:

Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

M = ((x1+x2)/2, (y1+y2)/2)

Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:

4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6

-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6

Therefore, point B has coordinates (6, -6).

As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.

The value of -3√5 as the opposite of the square root is -75.

What in mathematics is a square root?

The factor we can multiply by itself to obtain a given number is the number's square root.

               Square root is represented by the symbol sqrt, which stands for square root of, end square root. Squaring an integer is the reverse of finding its square root.

-3√5

The opposite of the square root is the square, so,

-3√5 = -3 × 5²

-3√5 = - 3 × 25

-3√5 = - 75

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Answer:

I think its C

Step-by-step explanation:

Answer:

6 !

3 !

log 2 ( 16 )

log 13 ( 28 )

Answer:

25

Step-by-step explanation:

Distribute -5 through the parentheses

10n-10n+25

Subtract

10n-10n=0

Leaving you with 25 as your answer

The surface area of 1 cylindrical-shaped benches is 25.12 feet². The total surface area of 10 cylindrical-shaped benches is 251.2 feet².

What is cylindrical-shaped?

One of the most fundamental curvilinear geometric shapes, a cylinder has traditionally been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In many contemporary branches of geometry and topology, a cylinder can also be defined as an infinitely curvilinear surface.

Given that

There are 10  cylindrical-shaped benches.

The diameter of the cylinder is 2 feet.

The radius of a shape is half of its diameter.

The radius of the cylinder is 2/2 = 1 foot.

The height of the cylinder is 3 feet.

The surface area of a cylinder is 2πr(h+r).

r = radius

h = height

The surface area of a cylinder is

2π×1(3+1)

= 25.12 feet²

The surface area of 10 cylinder is

=  25.12 feet² × 10

=  251.2 feet²

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Marcos is buying paint to cover 10 cylindrical-shaped benches. Each bench has a diameter of 2 feet and a height of 3 feet. How many square feet need to be painted in all? Round to the nearest tenth.

The solution to the equation 3x = 8 - 2x is x = 1.6.

To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:

Express the equation in the form of y = f(x). Rearrange the equation:

3x + 2x = 8

5x = 8

x = 8/5 or 1.6

Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.

Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.

The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).

Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.

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Answer:

$506.03

Step-by-step explanation:

15% off of $549.95 = $467.46

8.25 tax on $467.46 = $506.03

Answer:

Step-by-step explanation:

4

a

2

+

4

a

b

+

b

2

Based on the description, the total area of the figure would be 45 square meters.

To find the total area of the figure, we need to divide it into two triangles and one rectangle.

The rectangle has a base of 9 meters and a height of 4 meters, so its area is 9 x 4 = 36 square meters.

The two triangles each have a base of 3 meters and a height of 3 meters, so each triangle has an area of 1/2 x 3 x 3 = 4.5 square meters.

Therefore, the total area of the figure is the sum of the area of the rectangle and the two triangles:

36 + 4.5 + 4.5 = 45 square meters

So the answer is 45 m2.

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The required  interest rate required, to the nearest tenth of a percent, is 5.5%.

We can use the formula for continuous compounding to solve this problem:

A = Pe^(rt)

where A is the final amount, P is the principal amount, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this problem, we know that P = $47,000, A = $64,000, and t = 5 years. We want to find r.

Substituting in these values, we get:

$64,000 = $47,000e^(5r)

Dividing both sides by $47,000, we get:

1.3617 = e^(5r)

Taking the natural logarithm of both sides, we get:

ln(1.3617) = ln(e^(5r))

ln(1.3617) = 5r

Dividing both sides by 5, we get:

r = ln(1.3617) / 5

Using a calculator, we get:

r ≈ 0.0546

Therefore, the interest rate required, to the nearest tenth of a percent, is 5.5%.

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Yes, the problem describes a valid simulation design.

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population. (assuming that we want the sample to contain the summary of the population).

We are given that;

A media report claims that 50% of U.S. teens with smartphones feel addicted to their devices.

A sample of 100 U.S. teens who have smartphones was taken.

Only 40 of the teens in the sample feel addicted to their devices.

The goal is to estimate the probability of getting 40 or fewer teens who feel addicted to their devices in a random sample of size 100 from a population of teens with smartphones in which 50% feel addicted to their devices.

A simulation is proposed where 1 represents feeling addicted and 2 represents not feeling addicted.

Now,

The simulation design involves randomly selecting a sample of 100 U.S. teens who have smartphones and then using a random number generator to simulate the proportion of teens who feel addicted to their devices. This is a valid simulation because it mimics the process of sampling from a large population, and the use of a random number generator ensures that the simulation is unbiased and reflects the randomness inherent in the sampling process.

By repeating this process many times and calculating the percent of trials on which the number of 1's (teens who feel addicted to their devices) was 40 or less, we can estimate the probability of getting such a result by chance. This will help us determine whether the sample of 40 teens who feel addicted to their devices is consistent with the media report's claim that 50% of U.S. teens with smartphones feel addicted to their devices.

Therefore, by sampling the answer will be yes

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a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,

Scholarships, Grants and Student loans.

b. Total estimated expenses are $29,400

(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.

Expense:

Books and supplies: $1700

Housing and food: $14,020

Tuition and fees: $11,660

Transportation: $2040

Personal expenses: $2980

Funding:

Savings: $7800

Scholarships: $10,240

Grants: $11,600

Student loans: $6200

(b) What is the total of her estimated expenses?

To find the total estimated expenses, we need to add up all the expenses mentioned:

$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400

Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.

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The expression equivalent to (p - q)(x) is (x² - 1) - 5(x - 1).

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

It is given that

p(x) = x² - 1

q(x) = 5(x - 1)

We have to find (p - q)(x)

We know that

(p - q)(x) = p(x) - q(x)

Substituting the values

= (x² - 1) - 5(x - 1)

Therefore, the expression equivalent to (p - q)(x) is (x² - 1) - 5(x - 1).

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Answer:

It is given that

p(x) = x² - 1

q(x) = 5(x - 1)

We have to find (p - q)(x)

We know that

(p - q)(x) = p(x) - q(x)

Substituting the values

= (x² - 1) - 5(x - 1)

Step-by-step explanation:

Answer:

10/17

Step-by-step explanation:

The probability that the second student selected is a third grader, given that the first student picked was a fourth grader, is 10/17. This is after considering the total number of students and the decrease in total after the first student is chosen.

The first thing to do in calculating this probability is to consider the total number of students.

So, the probability is 10/17.

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Answer:

Step-by-step explanation:

The computer hardware company requires all of the chips purchased from its supplier of computer chips to meet the specification of 1.2 centimeters, with error margins of -0.1cm and +0.1cm

This means that the required length of computer chips is between 1.1cm - 1.3cm

Where 1.1cm = [1.2 - 0.1]

1.3cm = [1.2 + 0.1]

Based on the computer chips supplied last month, mean length was 0.9cm. This means that most of the chips were (in length) less than the lower boundary of 1.1cm.

The element that the production manager should consider in determining his company's ability to produce chips that meet specification is:

- The length of the chips.

The length of the chips his production team produces should be tailored to meet the length specification of his client.