you build a two-person tent, as shown. How many square feet of material is needed to make the tent, assuming the tent has a floor?​

Step-by-step explanation:

The relation between kg and lbs is :

1 kg = 2.2046 lbs

We need to find the values of 1kg/2.2046lbs and 2.2046lbs/1kg.

So,

\(\dfrac{1\ kg}{2.2046\ lbs}=\dfrac{2.2046\ lbs}{2.2046\ lbs}\\\\=1\)

and

\(\dfrac{2.2046\ lbs}{1\ kg}=\dfrac{2.2046\ lbs}{2.2046\ lbs}\\\\=1\)

Hence, this is the required solution.

Answer:

Both are same as 1.

Step-by-step explanation:

1 kg = 2.2046 lbs

So,

\(\frac{1 kg}{2.2046 lbs }=\frac{1 kg }{1 kg} = 1\)

And

\(\frac{2.2046 lbs}{1 kg }=\frac{1 kg }{1 kg} = 1\)

The Scientific notation of \($0.09 \cdot\left(9 \times 10^{-4}\right)$\) be 0.000081.

Very big or very small numbers can be written using scientific notation. Once a number between 1 and 10 has been multiplied by a power of 10, it is then expressed in scientific notation.

Simple numerical writing is what scientific notation is. Because it is shorter and more efficient and indicates magnitude very easily, it is particularly helpful for expressing very large or very small values. Every real number can be expressed as the product of two parts: an integer power of ten and a decimal part.

Let the equation be \($0.09 \cdot\left(9 \times 10^{-4}\right)$\)

Apply exponent rule: \($\quad a^{-b}=\frac{1}{a^b}$\)

\($=9 \times 0.09 \times \frac{1}{10^4}$$\)

Multiply fractions: \($\quad a \times \frac{b}{c}=\frac{a \times b}{c}$\)

\($=0.09 \times \frac{1 \times 9}{10^4}\)

\($& \frac{1 \times 9}{10^4}=\frac{9}{10000} \\\)

simplifying the above equation, we get

= 0.09 × 9/10000

Multiply fractions: \($\quad a \times \frac{b}{c}=\frac{a \times b}{c}$\)

= 9 × 0.09/10000

= 0.81/10000

Divide the numbers: 0.81/10000 = 0.000081

= 0.000081

Therefore, the Scientific notation of \($0.09 \cdot\left(9 \times 10^{-4}\right)$\) be 0.000081.

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Answer:

Tan(theta) = 20/-21

Step-by-step explanation:

Tan(theta) = Sin(theta)/Cos(theta)

\(\frac{\frac{20}{29} }{\frac{-21}{29} }\)

Invert the denominator and multiply

\(\frac{20}{29}*\frac{29}{-21}\\\frac{20}{-21}\)

Tan(theta) = 20/-21

Answer:

20/-21

Step-by-step explanation:

The width RQ of the river is approximately 61.98 ft.

To find the width RQ of the river, we can use the properties of perpendicular lines and collinearity.

Given that Karl starts at point R and walks perpendicular along the edge of the river 42 ft to point S, we can draw a line segment RS of length 42 ft.

From point S, Karl walks 28 ft further to point T. We can draw another line segment ST of length 28 ft.

Now, Karl turns 90° from point T and walks until his location (point U), point S, and point Q are collinear. Let's denote the length of this line segment as UQ.

From the given information, we know that TU = 68 ft.

Since U, S, and Q are collinear, we can form a right triangle by connecting UQ and US.

The length of UQ can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we have:

UQ² = TU² - US²

UQ² = 68² - 28²

UQ² = 4624 - 784

UQ² = 3840

Taking the square root of both sides, we have:

UQ = √3840

UQ ≈ 61.98 ft

Therefore, the width RQ of the river is approximately 61.98 ft.

Note: It's important to keep in mind that this solution assumes the river is a straight line and that Karl's path is perpendicular to the river's edge. In reality, the river's edge may not be perfectly straight, and the path Karl walks may not be exactly perpendicular.

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The sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given sequence is 1, 3, 5, 7, … , 99.

It is a arithmetic sequence, the difference between two consecutive terms will be same

d=3-1=2

first term a=1

l=last term =99

We need to find 99 is which term in the sequence

Aₙ = a + ( n - 1 ) d

99=1+(n-1)2

99=1+2n-2

99=2n-1

100=2n

Divide both sides by 2

50=n

Now we need to find the sum of 50 terms

Sₙ=n/2(l+d)

=50/2(99+2)

=25(101)

=2525

Hence, the sum of the arithmetic sequence 1, 3, 5, 7, … , 99 is 2525

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Answer:

Explained below.

Step-by-step explanation:

A Binomial experiment has the following properties:

If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.

The number of employees selected is, n = 20.

Every employees response is independent of the others.

Each employees response is either: Yes or No.

The probability of an employee responding as "yes" is, p = 0.31.

Thus, the experiment being performed is a binomial experiment.

So, the probability distribution for the number of employees believing their company president has low ethical standards can be modelled by a binomial probability distribution.

But the number of years of experience cannot be modelled by a binomial probability distribution. Because every employee will have different answer for this question.

Given statement solution is :- If the expression is set equal to 10x + 5, then there would be one solution.

If the expression is set equal to 10x + 7, then there would be no solution.

If the expression is set equal to -10x + 5, then there would be one solution.

If the expression 12x - 6x + 5 + 4x is set equal to 10x + 5, then there would be solution(s).

If the expression is set equal to 10x + 5, then there would be one solution.

If the expression is set equal to 10x + 7, then there would be no solution.

If the expression is set equal to -10x + 5, then there would be one solution.

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The graph of the translated function is g ( x ) = ( x + 5 )² + 2

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x²

On simplifying , we get

The function is translated 5 units to the horizontal left direction:

And , when the function is translated 2 units in the vertical upward direction:

So , the translated function is

g ( x ) = ( x + 5 )² + 2

Now , the vertex of the function g ( x ) = ( x + 5 )² + 2 is (-5, 2)

Hence , the graph of the function is plotted and g ( x ) = ( x + 5 )² + 2

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We have that The average number of minutes it takes her to run 1 mile

\(X=42min\)

From the Question we are told that

Katerina runs 15 miles in 2 1/2 hours

Average number of minutes it takes her to run 1 mile

Generally

\(2 1/2 hour=10.5h\)

\(10.5hours=630minutes\)

Therefore

The average number of minutes it takes her to run 1 mile

\(X=\frac{630}{15}\)

\(X=42min\)

In conclusion

The average number of minutes it takes her to run 1 mile

\(X=42min\)

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Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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Answer:

We are told that circle C has center (-4, 6) and a radius of 2.

We are told that circle D has center (6, -2) and a radius of 4.

If we move circle C's center ten units to the right and eight units down, the new center would be at (-4 + 10), (6 - 8) = (6, -2). So step 1 in the informal proof checks out - the centers are the same (which is the definition of concentric) and the shifts are right.

Let's look at our circles. Circle C has a radius of 2 and is inside circle D, whose radius is 4. Between Circle C and Circle D, the radii have a 1:2 ratio, as seen below:

If we dilate circle C by a factor of 2, it means we are expanding it and doubling it. Our circle has that 1:2 ratio, and doubling both sides gives us 2:4. The second step checks out.

Translated objects (or those that you shift) can be congruent, and dilated objects are used with similarity (where you stretch and squeeze). The third step checks out.

Thus, the argument is correct and the last choice is best.

Cute copy and paste:

☏ ♡ ☆⋆◦★◦⋆°*•°

. * . . ° . ● ° .

¸ . ★ ° :. . • ° . * :. ☆

° :. ° .☆ . ● .° °★

★ ★°★ . * . °☆ . ● . ★ ° . • ○ ● . ☆ ★ ° ☆ ¸. ¸ ★ . • ° . *

¸ . ★ ° :. :. . ¸ . ● ¸ ° ¸. * ● ¸ °☆

☆ °☆ . * ● ¸ . ★¸ .

. * . . ° . ● ° .

° :. ° . ☆ . . • . ● .° °★

\(\\\text{Given that,}\\\\(x_1 , y_1) = (5,6) ,~~ (x_2, y_2) = (-5,-4)\\\\\text{Slope},~m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-4-6}{-5-5} = \dfrac{-10}{-10} = 1\)

After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.


In order to  calculate the area to the left of z=2.09 we have to  apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.

Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:

1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is  87.6
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Answer:

The p-value is approximately 0.9015  

Step-by-step explanation:

The statistic parameters are;

The population mean, μ₀ = $85,000

The population standard deviation, σ = $8,700

The size of the sample, n = 50

The sample mean annual profit, \(\bar x\) = $82,441

The null hypothesis, H₀: μ = 81,000

The alternative hypothesis, Hₐ: μ > 81,000

Given that n > 30, a z-test is used

The test statistic ≈ 1.29

Therefore, we have;

\(z=\dfrac{\bar{x}-\mu_0 }{\dfrac{\sigma }{\sqrt{n}}} = 1.29\)

From the z-score, the p value for a test statistic of 1.29 = 0.90147 which is 0.9015 after rounding up to 4 decimal places

The pairs of coordinates arranged from least to greatest based on the differences between the points are:

(-1,-2) and (1,-4)

(4,1) and (2,2)

(-5,2) and (-3,-2)

(3,-4) and (-2,1)

(5,-2) and (-1,-1)

Let's calculate the differences and arrange the pairs accordingly:

(4,1) and (2,2):

Difference in x-coordinates: 4 - 2 = 2

Difference in y-coordinates: 1 - 2 = -1

(-5,2) and (-3,-2):

Difference in x-coordinates: -5 - (-3) = -2

Difference in y-coordinates: 2 - (-2) = 4

(3,-4) and (-2,1):

Difference in x-coordinates: 3 - (-2) = 5

Difference in y-coordinates: -4 - 1 = -5

(-1,-2) and (1,-4):

Difference in x-coordinates: -1 - 1 = -2

Difference in y-coordinates: -2 - (-4) = 2

(5,-2) and (-1,-1):

Difference in x-coordinates: 5 - (-1) = 6

Difference in y-coordinates: -2 - (-1) = -1

Now let's arrange them in order from least to greatest based on the differences in the points:

(3,-4) and (-2,1) (difference: 5)

(-1,-2) and (1,-4) (difference: 2)

(4,1) and (2,2) (difference: 2)

(-5,2) and (-3,-2) (difference: 4)

(5,-2) and (-1,-1) (difference: 6)

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Answer:

5x-4

Step-by-step explanation:

5 ( − 2 ) + 6

5 − 1 0 + 6

Answer: B) (x - 5)(x + 4)

Step-by-step explanation:

we’re looking for x intercepts at x = 5 and x = -4

x - 5 = 0; x = 5

x + 4 = 0; x = -4

(x - 5)(x + 4) is your answer

The Pink Party Punch has a stronger lemon-lime flavor because it has a higher volume of 6 liters.

Volume can be defined as the total quantity of a substance that a container can hold at a given period of time. Also, the volume of a container is measured in:

Based on the information provided in the table above, we can infer and logically deduce that the Pink Party Punch has a stronger lemon-lime flavor because it has a higher volume of 6 liters.

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Answer:

Step-by-step explanation:

The given data is expressed as

1204, 1206, 1345, 1306, 1207, 1078, 1357, 1232, 1228, 1302, 1189, 1177, 1083, 1094, 1326, 1071, 1427, 1348, 1420, 1253, 1270

The number of items in the data, n is 21. The lowest value is 1071 while the highest value is 1427. The convenient starting point would be 1070.5 and the convenient ending point would be 1427.5

The number of class intervals is

√n = √21 = 4.5

Approximately 5

The width of each class interval is

(1427.5 - 1070.5)/5 = 72

The end of each class interval would be

1070.5 + 72 = 1142.5

1142.5 + 72 = 1214.5

1214.5 + 72 = 1286.5

1286.5 + 72 = 1358.5

1358.5 + 72 = 1430.5

The frequency for the fifth class, that is between 1358.5 to 1430.5 would be 2

Through the work that was shown, you have

     999x = 393

If you divide both sides of the equation by 999, you'd have

     \(x=\dfrac{393}{999} = \dfrac{131}{333}\)

So, \(0.\overline{393} =\dfrac{131}{333}\)

The inequality that can be used to determine x, the number of outfits Tamika can purchase is; 539.63+ 52.93x ≤ 800

The given parameters are:

Budget = $800

New bicycle = $482.62

3 bicycle reflectors = $10.84 each

Pair of a bike gloves = $24.49.

New biking outfits = $52.93each.

Let the number of new biking outfits be x So, we have;

New bicycle + 3 . price of bicycle reflectors + Pair of a bike gloves + New biking outfits <= Budget

This gives;

482.62 + 3( 10.84) + 24.49+ 52.93x ≤ 800

This gives;

539.63+ 52.93x ≤ 800

Solve the inequality;

52.93x ≤ 260.37

Divide by 52.93

x ≤  4.91

Hence, the inequality is 539.63+ 52.93x ≤ 800

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Answer:

Minimum=60

First Quartile(Q1)=79

Median=86

Third Quartile (Q3)=89

Interquartile range (IQR)=10

Answer:

23552

Step-by-step explanation:

23, 92, 368...   is a geometric sequence.

first term = a = 23

common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4

nth term = \(ar^n^-^1\)

6th term = \(23*(4)^6^-^1\)

\(=23*4^5\)

\(=23*1024\)

\(=23552\)

Hope this helps :)

Pls brainliest...

Answer:)Angle FIH and GIE after keeping angle EIH at 140° is 40° while ∠FIG will is the opposite angle of ∠EIH so it will remain the same as 140°.

Step-by-step explanation:We need to intersect both lines and make ∠EIH > 135°

So,Let's keep ∠EIH = 140°

Then,∠FIG = 140° (opposite angle)∠FIH = ∠GIE = x (opposite angle)

Now,The Sum of all angles around I will be 360 degrees.

So,140 + x + 140 +  x = 360 ,2x + 280 = 360, 2x = 80 ⇒ x = 40°.

Answer:

12.84

Step-by-step explanation:

Picture frame = $12

Sales tax = 7% (.07)

Explanation =

1) 12 * .07 = .84

Answer = .84

Total with sales tax = $12.84

The amount of sales tax on this picture frame would be; $12.84

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that price of a picture frame is $12 plus 7% sales tax.

The Picture frame = $12

The Sales tax = 7% (.07)

Therefore, the  amount can be calculated as;

12 x 0.07 = 0.84

0.84 + 12 = 12.84

Hence, Total with sales tax would be; $12.84

The amount of sales tax on this picture frame would be; $12.84

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See the photo attached for the solution.

Answer: 54.55%

Step-by-step explanation:

Answer:

54.5%

Step-by-step explanation:

Fraction to percent: numerator divided by denominator times 100 and add the percent sign.