5.) X-6 X - 6 X - 6 +28 22​

Step-by-step explanation:

cot(θ) = 1/tan(θ)

tan(θ) = sin(θ) / cos(θ)

Given cos(θ) = 15/17, we can find sin(θ) using the Pythagorean identity:

sin(θ) = sqrt(1 - (cos(θ))^2) = sqrt(1 - (15/17)^2) = 4/17

So, tan(θ) = 4/15

And, cot(θ) = 1/tan(θ) = 15/4

Answer: 15/8

Step-by-step explanation: We know that sin(0) will equal 8 by the 8,15,17 triangle. We using the restricted domain value for theta and using the pythagorean identities to get cot(0) as cos(0)/sin(0) and substitute the values. The denominators cancel and the result is 15/8.

Answer:

Step-by-step explanation:

(8.02x10^6)(9.71x10^2)

(8.02x1,000,000)(9.71x100)

7.78742 x 10⁹

Answer:

663902.4

11 pavers

Step-by-step explanation:

V = l × w × h

V = 164 × 82 × 6.6

V =  

**********************************

The Swimming pool is a

rectangular prism. Write

the formula for its volume

and calculate it.

l...length of this prism

w...width of this prism

h...height of this prism

V ...volume

*********************************

To know how many

gallons are in the pool,

multiply the volume by

the number of gallons

in  gal...number of

gallons

********************************

gal = 88757 × 7.48

gal = 663902.4

********************************

First to not confuse

anybody on this, we need

to convert the meters into

centimeters.

Rule: 1 m = 100 cm

       3 m = 300 cm

       2.5 m = 250 cm

********************************

so for every meter, we

multiply 100 to get the

amount of centimeters

********************************

so then add the

centimeters of 3 m and

2.5 m

Answer: 550 cm

so then now compare

the measurings...

3 m = 300 cm

50cm × y = 300cm

50cm × 6 = 300cm

y = 6

2.5 m = 250 cm

50cm × y = 250cm

50cm × 5 = 250cm

y = 5

6 + 5 = 11 pavers

so Oliver will need 11 pavers

The product of122.1 and1/100 is1.221.

To find the product of122.1 and1/100, we can multiply the two figures together. The product is calculated as follows

Product = 122.1 *(1/100)

addition is a way of adding a particular number for certain times. For illustration 2 × 3 means that add 2

for 3

times, i.e., 2 2 2

In addition, the number to be multiplied is called factor or multiplicand and the number multiplied by is called multiplier. And the result of the addition is called product. In other words, a product is the result of addition.

multiplicand × multiplier = product

For illustration if 2

and 3

are the two figures to be multiplied also the product of this addition is 6

where 2

is the multiplicand and 3

is the multiplier, that is, 2 × 3 = 6

To multiply a decimal by a bit, we divide the numerator of the bit by the denominator and also multiply it by the decimal

Product = 122.1 *( 1 ÷ 100)

= 122.1 *0.01

= 1.221

thus, the product of122.1 and1/100 is1.221.

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Total triangles on all the quilt are 672.

What is quilt?

Quilts are often made of two or more layers of cloth or fibre and are multi-layered textiles. Three layers and a filler substance are frequently employed. These layers are often made up of a woven top, a batting or wadding layer, and a woven back that are all connected using quilting techniques.

Main Body:

Number of triangles on 1 quilt = 32

Total number of quilt = 21

So total triangles can be calculated by simply multiplying the two values,

Total triangles = 32*21

                        = 672 quilts

Hence total number of triangles = 672

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The recurrence relation for the number of ways to form postage of n cents with 4-cent, 6-cent, and 10-cent stamps, with order mattering, is P(n) = P(n-4) + P(n-6) + P(n-10), with initial conditions P(0) = 1 and P(n) = 0 for n < 0.

To form postage of n cents, we can use either a 4-cent stamp, a 6-cent stamp, or a 10-cent stamp.

Therefore, the number of ways to form postage of n cents can be calculated by considering the number of ways to form postage of (n-4) cents, (n-6) cents, and (n-10) cents.

Let P(n) denote the number of ways to form postage of n cents with these stamps.

Then we have:

P(n) = P(n-4) + P(n-6) + P(n-10)

This is a recurrence relation for P(n).

The initial conditions for this recurrence relation are:

P(0) = 1 (There is one way to form postage of 0 cents, by using no stamps.)

P(n) = 0 for n < 0 (There are no ways to form negative postage.)

We can also find P(4), P(6), and P(10) directly:

P(4) = 1 (We can use one 4-cent stamp.)

P(6) = 2 (We can use one 6-cent stamp, or two 4-cent stamps.)

P(10) = 4 (We can use one 10-cent stamp, or one 6-cent stamp and one 4-cent stamp, or two 4-cent stamps and one 2-cent stamp, or four 2-cent stamps.)

Using these initial conditions and the recurrence relation, we can calculate P(n) for any positive integer n.

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Answer:

Step-by-step explanation: plug in 3 for x and you got your answer.

2(3)-4 = 6-4=2

answer is 2

Answer:

C

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended on the same arc, then

a = 2 × 25° = 50° → C

Answer:

1,500

Step-by-step explanation:

First find the answer to this.

3 percent of 5000 = 150 per year

Then multiply 150 by 10.

1,500.

Hope this helps! :D

Answer:

c

Step-by-step explanation:

Answer:

20/4 = 5ml

Step-by-step explanation:

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

Answer: 7,000,000

A million= six zeroes

Ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions

Each place value represents an additional zero

Answer: 9/2, 4.5

Step-by-step explanation:

9514 1404 393

Answer:

 about 7.64 units

Step-by-step explanation:

The volume is given by the formula ...

  V = πr²h

Then the height is ...

  h = V/(πr²) = 1176/(π·7²)

  h ≈ 7.64 . . . . units

Answer:

B. 24 units

Step-by-step explanation:

Just took the Pre-Test on Edg (2020-2021)!

Rounding to the nearest tenth, the area of the triangular windowpane is approximately 8.2 square feet.

To find the area of a triangular windowpane, we need to use the formula for the area of a triangle, which is:

Area = (1/2) x Base x Height

In this case, the base is 4 feet 8 inches and the height is 3 feet 6 inches. However, we need to convert these measurements to the same units before we can calculate the area. Since there are 12 inches in 1 foot, we can convert the measurements as follows:

Base = 4 feet + 8 inches/12 = 4.67 feet

Height = 3 feet + 6 inches/12 = 3.5 feet

Now we can plug in these values into the formula and calculate the area:

Area = (1/2) x 4.67 feet x 3.5 feet

Area = 8.1675 square feet

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Answer:

A). \(2p^{8}\)

B). \(3m^{7}\)

Step-by-step explanation:

A). \(\sqrt{4p^{16}}\)

    To get the square root of the given expression we will convert it into the square form.

\(4p^{16}=(2)^2(p^{8})^2\) [Since 2×2 = 4 and \(p^{8}\times p^{8}=p^{16}\)]

Therefore, \(\sqrt{4p^{16}}=\sqrt{2^{2}\times (p^{8})^2 }\)

                             \(=2p^{8}\)

B). \(\sqrt{9m^{44}}\)

    Since, \(9m^{14}=(3)^2\times (m^7)^2\)

    Therefore,  \(\sqrt{9m^{44}}=\sqrt{(3)^2\times (m^7)^2}\) [Since 3² = 9 and (m⁷)² = m¹⁴]

                                   \(=3m^{7}\)

Given the n™ term of a number sequence, the first three terms of the sequence are 0, 2 and 6

The sequence is given as:

n^2 - n​

To write down the first three terms of the sequence, we set n =1, 2 and 3

So, we have:

When n = 1

n^2 - n​ = 1^2 - 1

Evaluate

n^2 - n​ = 0

When n = 2

n^2 - n​ = 2^2 - 2

Evaluate

n^2 - n​ = 2

When n = 3

n^2 - n​ = 3^2 - 3

Evaluate

n^2 - n​ = 6

Hence, the first three terms of the sequence are 0, 2 and 6

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The thirty-fourth term of the arithmetic sequence is the thirty-second term plus the common difference, which is not equal to 0.

The thirty-fourth term of the arithmetic sequence is calculated by adding the common difference to the thirty-second term. The common difference is the amount by which each successive term increases or decreases. As the common difference is not equal to 0, the thirty-fourth term is not the same as the tenth or second terms. The second, tenth, and thirty-fourth terms form a geometric sequence, which means that the ratio between any two successive terms is always the same. This ratio is determined by the common difference of the arithmetic sequence, and the thirty-fourth term can be calculated by adding the common difference to the thirty-second term.

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After addressing the issue at hand, we can state that by function  Katherine now has 28 quarters.

Mathematicians investigate numbers and their varieties, equations and adjacent tissues, shapes but instead their locations, and potential locations for these things. The term "function" refers to the relationship here between set of inputs, each with its own output. A function is a relationship of both inputs and outputs in which each input results in a single, distinct production. Each function has its own domain, codomain, or scope. The letter f is commonly used to denote functions (x). An x represents entry. On functions, each capabilities, so several capabilities, in capabilities, and on operations are the four major types of accessible functions.

Let's represent the unknown quantities with variables.

Let d be the number of dimes Katherine possesses.

Let q represent Katherine's number of quarters.

We can deduce from the problem:

Equation 1: Total dimes and quarters value = $8.60 0.10d + 0.25q = 8.60

Number of quarters = Number of dimes + 12 q = d + 12 Equation 2:

Now we can plug equation 2 into equation 1 to eliminate q and find d:

0.10d + 0.25(d + 12) = 8.60

Katherine now has 16 dimes.

We can use equation 2 to calculate the number of quarters:

q = d + 12 = 16 + 12 = 28

Katherine now has 28 quarters.

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Answer:

C. f(h)=75h

Step-by-step explanation:

That is the answer, hope it helps!

Answer:

it is the first one f(h)=75+h

Answer:

-3

Step-by-step explanation:

19-13=6+1=7-14=-7+4=-3

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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a. The 95% confidence interval has a lower limit of $299 - $11.27 and an upper limit of $299 + $11.27.

b. The margin of error is approximately $11.27.

To construct a 95% confidence interval to estimate the average selling price in the population based on the sample data, we can use the formula:

Confidence Interval = sample mean ± (critical value * standard deviation / sqrt(sample size))

a. Calculate the 95% Confidence Interval:

Given:

Sample mean (\(\bar X\)) = $299

Population standard deviation (σ) = $32

Sample size (n) = 31

The critical value for a 95% confidence level is obtained from the standard normal distribution table. For a two-tailed test, the critical value is approximately 1.96.

Confidence Interval = $299 ± (1.96 × $32 / sqrt(31))

Calculating the square root of the sample size:

sqrt(31) ≈ 5.568

Confidence Interval = $299 ± (1.96 × $32 / 5.568)

Now, let's calculate the values:

Confidence Interval = $299 ± (1.96 * $5.75)

Calculating the margin of error:

Margin of Error = 1.96 × $5.75 ≈ $11.27

b. The margin of error for this interval is approximately $11.27. This means that we can expect the true average selling price in the population to be within $11.27 of the estimated average selling price based on the sample.

To summarize:

a. The 95% confidence interval has a lower limit of $299 - $11.27 and an upper limit of $299 + $11.27.

b. The margin of error is approximately $11.27.

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The difference between the length and width of the garden is 2.55 yards.

Two or more expressions with an Equal sign is called as Equation.

Given that jan created a garden that was 8.5 yards long and 5.95 yards wide.

Length=8.5 yards

Width=5.95 yards.

We need to find the difference between the length and width of the garden.

8.5-5.95

Eight point five minus five point nine five

2.55

Hence,  the difference between the length and width of the garden is 2.55 yards.

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Answer:

see explanation

Step-by-step explanation:

The angle at the circumference b , is half the angle subtended at the centre by the arc XZ, that is

b = 0.5 × 72 = 36

OZ and OX are congruent ( both radii of the circle )

Thus Δ OXZ is isosceles with base angles congruent, thus

a = \(\frac{180-72}{2}\) = \(\frac{108}{2}\) = 54

∠ XZY = 90° ( angle in a semicircle is right )

The answer is True. Researchers must carefully consider their sampling methods and statistical techniques to ensure that their results are reliable and valid. Overall, using sample results to estimate unknown population statistics is a common practice in statistics and plays an important role in research and decision-making processes.

In statistics, researchers often use sample data to make inferences about a larger population. This is because it is often impractical or impossible to collect data from every single individual in a population. Instead, researchers select a smaller group, known as a sample, and use statistical methods to analyze the data collected from this group. By doing so, they can estimate or infer characteristics of the larger population. However, it is important to note that the accuracy of these estimates depends on the size and representativeness of the sample, as well as the statistical methods used.

Taking a sample allows researchers to save time and resources while still obtaining reliable information about the population. The accuracy of these estimates depends on factors such as sample size and sampling methods. In summary, using sample results to estimate an unknown population statistic is a common and useful practice in research.

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