Use the graph to answer the question.
Determine the translation used to create the image.
5 units to the right
1 unit to the right
5 units to the left
D A
1 unit to the left
D

Answer:

The exponent form of 5670 is 5.67 × 103.

Step-by-step explanation:

you can also use this

it's pretty easy

https://calculator.name/decimal-to-scientific-notation/5670

Answer:

I don't see the answer to the problem

∠A= ∠R , and the triangle is congruent.

What are angles?

acc to our question-

Hence,∠A= ∠R , and the triangle is congruent.

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Answer:13.8

Step-by-step explanation:

The stores that will be in the sample are - 00, 02, 05, 08, 11, 14, 17, 20, 23.

What comprises the sample?

An analytical subset of a larger population is referred to as a sample in statistics. A sample are used in research so that it can be done quickly and with more manageable data. However, obtaining such a sample may be costly and time-consuming. Randomly generated samples do not have significant bias if they are large enough.

Stores in the Sample

Since it is given that the sample is made up of every third store, starting from the first retail store. The stores have been numbered systematically from 00 to 23.  Since a systematic sampling is done, after picking the first store, the third store will be picked, that is, 02, and then 05, and so on till 23.

Thus, the following retail stores will be present in the sample,

00, 02, 05, 08, 11, 14, 17, 20, 23

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Answer:

135

Step-by-step explanation:

two interior angles of a triangle equal to the exterior of the angle that is neither of the interior angles

so in this case

p + t = 135

Answer:

8.58333

Step-by-step explanation:

round to 8.6 feet

Answer:

8 foot and  5 inches

Step-by-step explanation:

61 is the sum of two consecutive integers (-6,-5 ) and (5,6).

According to Pierr De Fermat any whole number writteen as the sum of four or less square numbers.

So 61 is the whole number so we can write in the sum of squares,

Now we know even+odd=odd so that let a and a+1 integer , according to Pierr De Fermat we can write,

a²+(a+1)²=61;

⇒a²+a²+2a+1=61

⇒2a²+2a-60=0

⇒a²+a-30=0 (∵divided by 2)

⇒a²+6a-5a-30=0

⇒a(a+6)-5(a+6)=0

⇒(a+6)(a-5)=0

⇒a+6=0 or a-5=0 ⇒a=-6 or a=5

If a=-6 then a+1=-6+1=-5.

if a=5 then a+1=5+1= 6.

so 61= (-6)²+(-5)² and 61= 6²+5².

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a) The number of ways a group of 20, including six boys and fourteen girls, can be formed into two ten-person volleyball teams with no restrictions is given by the combination formula. Since the order of selection doesn't matter in this case, we can use the combination formula to calculate the total number of combinations.

The formula for combination is: nCr = n! / (r!(n-r)!)

Where n is the total number of individuals and r is the number of individuals in each team.

In this scenario, we have 20 individuals in total, and we need to form two teams of ten individuals each. Therefore, the number of ways to form the teams without any restrictions is:

20C10 = 20! / (10!(20-10)!) = 184,756 ways.

(b) In this case, we want each team to have three boys. Since we have six boys in total, we need to select three boys for each team. The remaining slots will be filled by the girls.

The number of ways to select three boys from six is given by the combination formula: 6C3 = 6! / (3!(6-3)!) = 20 ways.

After selecting the boys, we have 14 girls remaining, and we need to select seven girls for each team. The number of ways to select seven girls from 14 is: 14C7 = 14! / (7!(14-7)!) = 3432 ways.

To calculate the total number of ways to form the teams, we multiply the number of ways to select the boys and the number of ways to select the girls:

20 ways (boys) * 3432 ways (girls) = 68,640 ways.

(c) In this case, we want all of the boys to be on the same team. We need to select all six boys and distribute the remaining slots among the girls.

The number of ways to select six boys from six is 6C6 = 6! / (6!(6-6)!) = 1 way.

After selecting the boys, we have 14 girls remaining, and we need to select four girls for each team. The number of ways to select four girls from 14 is: 14C4 = 14! / (4!(14-4)!) = 1001 ways.

To calculate the total number of ways to form the teams, we multiply the number of ways to select the boys and the number of ways to select the girls:

1 way (boys) * 1001 ways (girls) = 1001 ways.

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Answer:

angle Y is 29 degrees

angle X is 120 degrees

Step-by-step explanation:

Well, if the triangle is an equilateral, then all the angles are equal to

60 degrees

that means the the angle at the top point is 60+31 = 91 degrees

the right point is 60 degrees

every triangle has 180 degrees total

180 - (91+60) = 29 degrees

NOW FORGET ABOUT THE EQUILATERAL FOR A BIT

180 = 31+x+29

simplify

180 = 60+x

subtract 60 from both sides

120 = x

Given:

Total amount = $115

Amount spent = $90

Cost of each pair of socks = $5

To find:

The inequality to represent the greatest number of pairs of socks he can buy.

Solution:

Let x be the number of pairs of socks he can buy.

Cost of 1 pair of socks = $5

Cost of x pair of socks = $5x

Sum of amount spent and cost of x pair of socks must be less than or equal to the total amount he has.

\(90+5x\leq 115\)

\(5x\leq 115-90\)

\(5x\leq 25\)

Divide both sides by 5.

\(x\leq \dfrac{25}{5}\)

\(x\leq 5\)

The maximum value of x is 5. So, the maximum number of pair of socks is 5.

Therefore, the inequality of the given situation is \(90+5x\leq 115\) and \(x\leq 5\) represent the greatest number of pairs of socks he can buy.

Slope=2

x−intercept=  2/10  =5

y−intercept=  −10/-1  =−10.00000

Answer:

2x+y-10=0

Step-by-step explanation:

6x+3y=30 move the constant to the left and change its sign

6x+3y-30=0

6x+3y-30=0 divide both sides of the equation by 3

a) Probability of hitting the black circle is closer to zero than 1.

b) Probability of hitting the white portion is closer to 1 than 0

To get the probability of getting any point in the given image, we have to first of all find the area of the square which is:

Area of Square = 9 * 9 = 81 sq. units

Area of Circle = π * 1.5² = 7.07 Sq.units

Area of white part = 81 - 7.07

Area of white part = 73.93 Sq.units

a) Probability of hitting the black circle = 7.07/81 = 0.095

This probability is closer to zero than 1.

b) Probability of hitting the white portion = 73.93/81 = 0.9127

This probability is closer to 1 than 0

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Answer:

x (23+12)= 280

Step-by-step explanation:

X=8

add 23 plus 12 which equals 35

then multiply 35 by 8

Hope it helps

Answer:

-x + 39 = 31

Step-by-step explanation:

You would subtract 39 which would make -8. Then you would divide by -1 (x) and your answer is:

x = 8

The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.

The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.

Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.

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Answer:

Step-by-step explanation:

56(cos(33) + i sin(33)) = 7(cos(11°) + i sin(11°))

Divide both sides by 7 to get;

8(cos(33) + i sin(33)) = (cos(11°) + i sin(11°))

Expanding and Rearranging gives;

8cos(33) + 8i sin(33)) - cos(11) - isin(11)

This gives ;

8Cos(22) + 8i sin(22) = 8(Cos(22) + I sin(22)

Answer:

x= 2/7

Step-by-step explanation:

Divide each term by 3 and then you can simplify it.

Hope this helps.

Answer:

x = 3 (see below)

Step-by-step explanation:

To solve for x, you need to isolate the variable to one side of the equation. To do that, you need to use reverse operations. For example, the reverse operation of subtraction is addition.

In this case, we have:

15 = 5x

5x is the same thing as 5 (x) or 5 times x. This means the reverse operation is division. So, we need to divide both sides of the equation by 5:

15 = 5x

-----   ----

5       5

--------------

3 = x

x = 3

Step-by-step explanation:

When two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary. This means that their measures add up to 180 degrees.

In this case, the two interior angles on the same side of the transversal 't' are (2x-8) degrees and (3x-7) degrees. Since these angles are supplementary, we can write the equation (2x-8) + (3x-7) = 180.

Solving this equation for x, we get:

(2x-8) + (3x-7) = 180

5x - 15 = 180

5x = 195

x = 39

Substituting this value of x into the expressions for the two interior angles, we find that their measures are:

(2x-8) = (2*39 - 8) = 70 degrees

(3x-7) = (3*39 - 7) = 110 degrees

So, the measure of each of these angles is 70 degrees and 110 degrees.

12 ft wide

The cost per square foot = $2

The cost to recarpet the room = $312

length of the room = 13 feet

width = ?

First, we need to find the number of squre foot that will amount to $312

Since $2 = 1 ft²

$132 = 132/2

$132 = 156 square foot

square foot indicates we are dealing with area

Area of room = length × width

Area of the room = 156 square foot

156 = 13 ft × width

width = 156 ft²/13 ft

width = 12 ft

The room is 12 ft wide

This means that the true mean elongation force is actually equal to 13.0 kg. To compute β, we need to find the probability that the test statistic falls in the critical region, given that the true mean elongation force is 13.0 kg.

Exercise 4-16 gives a one-tailed test of H0: μ = 12.5 kg vs.

Ha: μ > 12.5 kg

with a sample size of n = 16.

Suppose that we are interested in performing the test at a level of significance (α) of 0.05.The given question asks us to find(a) Find the boundary of the critical region if the type I error probability is specified to be 0.05. The formula for calculating the critical value is as follows: cv = μ0 + (zα x (σ / √n))μ0

= 12.5 kg (given)zα

= the z-score which corresponds to the chosen level of significance

= 1.645

σ = standard deviation

= 1.2 kg

n = sample size

= 16

Thus, cv = 12.5 + (1.645 x (1.2 / √16))

= 12.5 + 0.494

= 12.994 kg

The critical region is (12.994, ∞)(b) Find β for the case when the true mean elongation force is 13.0 kg.

We accept the null hypothesis when it is false. This means that the true mean elongation force is actually equal to 13.0 kg. To compute β, we need to find the probability that the test statistic falls in the critical region, given that the true mean elongation force is 13.0 kg.β = P(z > cv | μ = 13.0)

where cv = 12.994 (computed above)

μ = 13.0 (given)

σ = 1.2 (given)

n = 16

Thus,

β = P(z > (12.994 − 13)/(1.2/√16) |

μ = 13.0)≈ P(z > −0.346)

The power of the test is the probability of rejecting the null hypothesis when it is false. In part (b), we found that the true mean elongation force is actually equal to 13.0 kg, so we can now find the power of the test as follows:Power = 1 − β

= 1 − 0.6357

= 0.3643

Therefore, the power of the test is 0.3643.

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We can learn a lot about a population if we select a sample of it.

Selecting a representative sample is an important aspect of conducting research or making inferences about a population. Here's more information about the concept of a representative sample and its significance:

Definition: A representative sample is a subset of individuals or elements from a larger population that accurately reflects the characteristics, diversity, and distribution of the population. The goal is to obtain a sample that closely resembles the population in terms of relevant attributes or variables of interest.

Random sampling: The most common approach to achieving a representative sample is through random sampling. Random sampling involves randomly selecting individuals or elements from the population, ensuring that each member of the population has an equal chance of being included in the sample. This helps minimize bias and increase the likelihood of obtaining a representative sample.

Importance of representativeness: A representative sample is crucial because it allows researchers to generalize their findings from the sample to the larger population. When the sample is representative, the results obtained from studying the sample are likely to be applicable and valid for the population as a whole.

Avoiding sampling bias: Sampling bias occurs when the selected sample is not representative of the population, leading to inaccurate or skewed results. Various types of bias, such as selection bias or non-response bias, can compromise the representativeness of the sample. Efforts must be made to minimize or address these biases to ensure the sample accurately represents the population.

Statistical validity: The validity of statistical inferences, such as estimating population parameters or testing hypotheses, relies on the representativeness of the sample. A representative sample helps ensure that the results obtained from the sample accurately reflect the characteristics and behavior of the larger population, increasing the statistical validity of the findings.

Generalizability: The ultimate goal of using a representative sample is to make valid inferences and generalizations about the population. By studying the sample, researchers can gain insights, make predictions, and draw conclusions that can be applied to the broader population with a certain level of confidence.

In summary, selecting a representative sample is vital for accurate research and drawing valid conclusions about a population. It helps minimize bias, ensures statistical validity, and allows for generalizing findings to the larger population with greater confidence.

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Answer:

(-3, -9)

Step-by-step explanation:

Find the difference in the x and y values of the original point (-8, -9) and the translated point (-11, -14) and apply them to the given point (0, -6). -11 - (-8) = -3 for the x, and -14 - (-9) = -5 for the y. This means you must subtract 3 and subtract 5 from a point to get the translation. 0 - 3 = -3 for the x value of the point, and -6 - 3 = -9 for the y value. This gives you a translated point of (-3, -9).

The inequality describing the scenario is d ≤ 80/10 and he can lunch for almost 10 days.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let the no.of days be donated by d.

Given, Tyler has at most $80 to go out and by himself, lunch while at work and he spends about $10 every day.

∴ The inequality that represents this situation is 10d ≤ 80.

d ≤ 80/10.

d ≤ 8.

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4.9794

Hope this helps

Answer:

4.9794

Step-by-step explanation:

57.9

x0.086 That sucks you had to post this six times, wow I would've just used a calculator..

The percentage strength of neomycin in the final compounded product is approximately 2.5%.

To determine the percentage strength of neomycin in the final compounded product, we need to calculate the weight of neomycin in the cream and divide it by the total weight of the cream.

Neomycin (5%) cream: 30g

The neomycin content is 5% of the total cream weight. To find the weight of neomycin in the cream, we multiply the cream weight by the neomycin percentage:

Weight of neomycin = 30g × 0.05 = 1.5g

Now, to calculate the percentage strength of neomycin in the final compounded product, we divide the weight of neomycin by the total weight of the cream and multiply by 100:

Percentage strength of neomycin = (Weight of neomycin / Total weight of cream) × 100

Percentage strength of neomycin = (1.5g / 60g) × 100 ≈ 2.5

Therefore, the percentage strength of neomycin in the final compounded product is approximately 2.5%.

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Step-by-step explanation:

we plug in 0 for x in the equation hence

A = 1

we plug in 2 for x in the equation to find B

hence B = 5