Jade can do 65 push ups in 5 minutes. At the same rate, how many push ups can you expect her to do in 7 minutes?

A 2 ×× 2 ×× 2 factorial design indicates that the experiment includes two independent variables, option C.

In a factorial design, the numbers before the "×" symbol represent the levels or categories of each independent variable, while the total number of factors indicates the number of independent variables.

In this case, there are three factors, each with two levels, resulting in a 2 × 2 × 2 factorial design. Therefore, there are two independent variables included in the experiment.

The numbers in a factorial design indicate the number of levels of each independent variable. In this case, there are two independent variables, each with two levels, resulting in a total of eight experimental conditions (2x2x2). So, the correct answer is C) two independent variables.

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Terraced building. administrative or ceremonial purposes. . Its design allows for maximum use of the space, utilizing all levels of the building for various activities.

A terraced building is a large rectangular building made up of several levels, where the higher levels recede from the lower levels. Stairs lead from the bottom to the top level, and it was primarily used for administrative or ceremonial purposes.

A terraced building is a large rectangular structure that has multiple levels, with the higher levels receding back from the lower levels. A set of stairs provides access from the bottom to the top level, allowing for easy navigation throughout the building. This type of structure was primarily used for administrative or ceremonial purposes, such as for holding meetings, conferences, or other important events. Its design allows for maximum use of the space, utilizing all levels of the building for various activities.

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Answer: 20/4 = 5/1

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/4 revolution

Answer:

208/15

Step-by-step explanation:

4 1/3= 13/3

3 1/5= 16/5

208/15

Answer:

these answer would be 13/5 or 2 3/5

Answer:

30%

Step-by-step explanation:

156/120 =1.3 =130%-100

The standard error of the sample mean, \(\bar{x}\) , is the standard deviation of the distribution of sample means.

The standard error is a measure of the amount of variability in the mean of a population. It is also defined as the standard deviation of the sampling distribution of the mean. This value is used to create confidence intervals or to test hypotheses. The formula to find the standard error is SE = s/√n, where s is the sample standard deviation and n is the sample size. This estimate shows the degree to which the sample mean is anticipated to vary from the actual population mean.

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Each solid plastic cylinder with a radius of 2.51 cm and length of 5.64 cm has a charge of approximately 282.46 Coulombs.

To find the charge of each cylinder, we need to use the formula for the charge of a uniformly charged solid cylinder, which is given by Q = λ * V, where Q is the charge, λ is the charge density, and V is the volume of the cylinder.

First, we need to calculate the volume of each cylinder. The formula for the volume of a cylinder is V = π * r^2 * h, where r is the radius and h is the height or length of the cylinder.

Using the given values, we have r = 2.51 cm and h = 5.64 cm. Converting these values to meters, we get r = 0.0251 m and h = 0.0564 m.

Calculating the volume of each cylinder:

V = π * (0.0251 m)^2 * (0.0564 m) = 7.0925e-5 m^3

Now, we need to find the charge density λ. The charge density for each cylinder is given by λ = Q / V, where Q is the charge and V is the volume.

Since the radius and length are the same for all four cylinders, the charge density will also be the same. Therefore, we can calculate the charge density using one of the cylinders.

Assuming the charge density is λ, we can rearrange the formula to solve for λ:

λ = Q / V

Given that λ = 2.0 μC/m^3 (microCoulombs per cubic meter), we have:

2.0e-6 C/m^3 = Q / (7.0925e-5 m^3)

Solving for Q:

Q = (2.0e-6 C/m^3) * (7.0925e-5 m^3)

Q = 1.4185e-10 C

Therefore, the charge of each cylinder is 1.4185e-10 C, which is approximately equal to 282.46 Coulombs.

Each solid plastic cylinder with a radius of 2.51 cm and length of 5.64 cm has a charge of approximately 282.46 Coulombs. This calculation is based on the given charge density of 2.0 μC/m^3 and the formula for the charge of a uniformly charged solid cylinder.

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Answer:

Area = \(9x^2\) square units

Step-by-step explanation:

Key skills needed: Area of a parallelogram

1) This shape is a parallelogram, and the way to find the area of a parallelogram is:

                                \(A = bh\)

A = area

b = base (the side at the bottom

h = the height ( the length that runs from one side to another and makes a right angle)

2) The base (b) would be 3x. The height (h) would also be 3x

3) This means A = \(3x(3x)\)

3 times 3 is 9 --> and x times x is \(x^2\)

Therefore the area is --> \(9x^2\)

Hope you understood and have a nice day!! :D

Mr. Red's salary is an illustration of an arithmetic sequence

The recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

From the complete question, we have the explicit rule of Mr. Red's salary to be

an = 500n + 29500

Where:

The above means that:

The difference between a term and the next term is 500.

So, the recursive rule is:

an = an−1 + 500

Recall that:

a1 = 30000

Hence, the recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000

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It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y

Given data ,

A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6

Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.

As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required

Hence , the equation of line is solved

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60 ml and 20 ml of each drug is required to make 80 ml of the solution.

What is ratio?

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

As two drugs are to be combined in a 3:1 ratio to produce a needed solution.

The ratio is 3:1 so the needed solution are 60 ml/ 20 ml.

Hence, 60 ml and 20 ml of each drug is required to make 80 ml of the solution.

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Converting 46.1031 to 4 significant figures, we have 46.10.

Rounding off numbers implies reducing the number of digits in a given number to a preferred length. The two modes are significant figures, or decimal places.

Decimal places requires reducing the numbers of digits in a given number to a required number but considering the position of the decimal point. In significant figures, the length of the given number is reduced to a required number by not considering the position of the decimal.

In the given question, we are to convert 46.1031 to 4 significant figures.

This can be done by counting four digits, and rounding off the digits after.

So that we have;

46.1031 = 46.10 (4 sf)

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The conversation of 46.1031 to 4 significant figures would be = 46.10

A four significant figures are those figures that shows that all zeros to the right of the last significant zero after the decimal point.

From the given figure such as 46.1031, to convert to four significant figures, 46.10

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Therefore, the remainder when x is divided by 4 is 2.

Let's analyze the given information step by step:

The remainder is 3 when (x + 1) is divided by 4.

This can be written as:

(x + 1) ≡ 3 (mod 4)

Subtracting 1 from both sides, we get:

x ≡ 2 (mod 4)

The remainder is 0 when 2x is divided by 4.

This implies that 2x is divisible by 4, which means x must be even. In other words, x is a multiple of 2.

Combining the information from both statements, we conclude that x must be an even number that leaves a remainder of 2 when divided by 4.

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Answer:(:

Step-by-step explanation:  2

Hey there!

3x - 5x + 5 = 20

• First COMBINE your LIKE TERMS

(3x - 5x) + (5) = 20

3x - 5x = -2x

• NEW EQUATION:

-2x + 5 = 20

• SUBTRACT by 5 on BOTH SIDES

Like: -2x + 5 - 5 = 20 - 5

Cancel out: 5 - 5 because that gives you a 0

Keep; 20 - 5 because it helps us solve for your x

**20 - 5 = 15**

• NEW EQUATION:

-2x = 15

• DIVIDE by -2 on BOTH SIDES

2x/-2 = 15/-2

Cancel out: -2x/-2 because that gives you 1

Keep: 15/-2 because it helps us solve for x (it also gives the value of “x”)

**AFTER SOLVING ABOVE WE FOUND OUR ANSWER**

Answer: x = -15/2 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

The correct choice is within your skills and abilities.

Once you get to determine things you are capable of and things you are not capable of, you will be able to concentrate on your strengths more. This will in turn produce big results as compared to if you opted to concentrate on your weaknesses.

It will also result in no or less time wasted in doing what you are less capable of.

Its almost close to impossible to be able to do everything. Each person is gifted in a certain area or skill or capability. We are all different and that's okay.

Its so important to concentrate in the areas you are more comfortable with. This will help you much with improving your skills and abilities.

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Answer:

Step-by-step explanation:

a you just had to say a

Answer:

The correct answers would be

B, C, and D.

Step-by-step explanation:

B) ΔABD ~ ΔCBA

∠B is congruent to ∠B (itself) by the Reflexive Property.

C) ΔDAB ~ ΔDCA

I took the quiz and got this one right though I'm not 100% sure how it works.

D) ΔBCA ~ ΔACD

∠C is congruent to ∠C through the Reflexive property.

I hope this helps :)

I tried my best

The similarity statement that would be true for the given figure is; A.

∆ DAB ~∆ DAC

Similar triangles are those triangles that have the same proportionate side lengths as well as related angle measurements.

Two triangles are said to be similar if their corresponding angles and sides have the same ratio. Similar triangles will possess the same form but may or may not have the same size.

The SAS similarity rule states that If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed by the two sides in both the triangle are equal, then it means that the two triangles are similar.

The Side-Side-Side (SSS) similarity rule states that If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.

In this question, when we analyze the triangles well, it is clear that;

DA is congruent to itself by reflexive property of congruence.

Thus, we can say that ΔDAB is similar to ΔDAC,

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Answer:

Step-by-step explanation:

A. 5, 2, 2, 5 is a prime factorization of 100 since 5 and 2 are prime factors of 100 and multiplying them gives 100.

B. 2, 5, 10 is not a prime factorization of 100 since 10 is not a prime factor of 100.

C. 5, 10, 2 is not a prime factorization of 100 since 10 is not a prime factor of 100.

D. 5, 2, 5, 2 is not a prime factorization of 100 since it can be simplified as 5x2x5x2 = 100, but it is not a unique prime factorization.

Therefore, the correct answer is A. 5, 2, 2, 5.

Answer:

512

Step-by-step explanation:

\(8^{3}=8\times8\times8\\8\times8=64\\8\times64=512\)

Answer:

Standard form of \(8^{3}\) is:

512

Step-by-step explanation:

The current expression \(8^{3}\) was written in exponential form. To change it to standard form you just need to multiply 8 the number of times the exponent is. So it would be 8 x 8 x 8 since the exponent is 3. Now what you have to do is multiply 8 x 8 x 8 to GET the standard form. When you multiply 8 x 8 x 8, the answer is 512!

Hope this helps!

Answer:

4x - 5y + 4z = 19

x + 5y - z = -20

5x + 3z = -1

-x - 5y - 5z = 2

x + 5y - z = -20

-6z = -18

z = 3

5x + 3(3) = -1

5x + 9 = -1

5x = -10

x = -2

-2 + 5y - 3 = -20

5y - 5 = -20

5y = -15

y = -3

x - 2, y = -3, z = 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

-x - 5y - 5z = 2

x + 5y - z = -20

-6z = -18

z = 3

4x - 5y + 12 = 19

x + 5y - 3 = -20

4x - 5y = 7

x + 5y = -17

5x = -10

x = -2

2 - 5y - 15 = 2

-5y - 13 = 2

-5y = 15

y = -3

{x = -2, y = -3, z = 3}

Given:

Principal value = $12000

Rate of interest = 2.5%

To find:

Total amount after 15 years.

Solution:

Formula for amount discontinuously compounded interest is

\(A=Pe^{rt}\)

where, P is principal, r is rate of interest and t is time in years.

Substitute P=12000, r=0.025 and t=15 in the above formula.

\(A=12000e^{0.025(15)}\)

\(A=12000e^{0.375}\)

\(A=12000(1.45499141462)\)

\(A=17459.8969754\)

\(A\approx 17459.897\)

Therefore, the amount after 15 years is $17459.897.

There are 27 elements in set B but not in set A.

Given:

Total number of elements in the universal set S = 69

Number of elements in set A = 10

Number of elements in set B = 36

Total number of elements in either A or B = 37

To find the number of elements in B but not in A, we can use the principle of inclusion-exclusion. The formula is:

|A ∪ B| = |A| + |B| - |A ∩ B|

In this case, |A ∪ B| represents the total number of elements in either A or B, which is given as 37.

|A| represents the number of elements in A, which is 10.

|B| represents the number of elements in B, which is 36.

Plugging these values into the formula, we get:

37 = 10 + 36 - |A ∩ B|

To find |A ∩ B|, we rearrange the equation:

|A ∩ B| = 10 + 36 - 37

|A ∩ B| = 9

Since |A ∩ B| represents the number of elements that are common to both A and B, and we need to find the number of elements in B but not in A, we subtract |A ∩ B| from the number of elements in B:

Number of elements in B but not in A = |B| - |A ∩ B|

Number of elements in B but not in A = 36 - 9

Number of elements in B but not in A = 27

There are 27 elements in set B but not in set A.

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Using unit conversions the total height change from the top of mount Everest to the bottom of the Mariana trench is 12.3 miles

We know that 1 km = 0.62136 miles and 1 foot = 0.000189 miles

Depth of Mariana Trench (d) = 11 km = 11 × 0.62136

                                                          = 6.835 miles

Height of Mount Everest (h) = 29000 ft = 29000 × 0.000189

                                                              = 5.492 miles

Therefore the total height difference top of Mount Everest and to bottom of the Mariana Trench is given by

H = Depth of Mariana Trench + Height of Mount Everest

H = d + h

H = 6.835 miles + 5.492 miles

H = 12.327 miles

H = 12.3 miles

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After answering the presented question, we can conclude that As a result, the line connecting the points A(-7, -1) and B(8, 2) is divided by the line x + y = 2 in the ratio about 65.63:56.63.

In mathematics, ratios demonstrate how frequently one number is contained in another. For example, if there are 8 oranges and 6 lemons in a fruit dish, the ratio of oranges to lemons is 8 to 6. In a similar vein, the orange-to-whole-fruit ratio is 8, whereas the lemon-to-orange ratio is 6:8. A ratio is an ordered pair of numbers a and b represented as a / b, where b is not zero. A ratio is an equation that equates two ratios. For example, if there is one male and three girls (for every boy she has three daughters), 3/4 are girls and 1/4 are boys.

\(m = (y2 - y1)/(x2 - x1) = (2 - (-1))/(8 - (-7)) = 3/15 = 1/5\\y - y1 = m(x - x1)\\y - (-1) = (1/5)(x - (-7))\\y + 1 = (1/5)(x + 7)\\y = (1/5)x + 6/5 - 1\\y = (1/5)x + 1/5\\x + (1/5)x + 1/5 = 2\\(6/5)x = 9/5\\x = 3\\\)

\(y = (1/5)(3) + 1/5\\y = 4/5\\AP = \sqrt[(3 - (-7))^2 + (4/5 - (-1))^2] = \sqrt[10^2 + 9/5^2] = \sqrt[100 + 81/25] = \Sqrt[4301]/5\\PB = \Sqrt[(8 - 3)^2 + (2 - 4/5)^2] = \sqrt[25 + 81/25] = \sqrt[3206]/5\\\)

The ratio in which AB is divided by x + y = 2 is:

\(AP:PB = \sqrt[4301]:\sqrt[3206] = 65.63:56.63 \\\)

As a result, the line connecting the points A(-7, -1) and B(8, 2) is divided by the line x + y = 2 in the ratio about 65.63:56.63.

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Answer:

i could only get part one done

Step-by-step explanation:

Perimeter is a measurement of the distance around a shape and area gives us an idea. Understanding how much space you have and learning how to fit shapes ... If the shape is a polygon, then you can add up all the lengths of the sides to find the perimeter. ... You can write “in2” for square inches and “ft2” for square feet

Sides of first rectangle are 12 inches and 6 inches

and sides of second rectangle are 10 inches and 5 incheAnswer:

Step-by-step explanation:

Ratio of bases = 12/10 = 6/5

Ratio of altitudes = 6/5

By applying the definition of similar rectangles and proportion, the height of the smaller rectangle is: 2 inches.

Recall:

Thus:

We will have the following proportion:

\(\frac{10}{4} = \frac{5}{x}\)

\(x = \frac{20}{10} \\\\\mathbf{x = 2}\)

The height of the smaller rectangle is 2 inches.

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Answer:

x = 1 ± \(\sqrt{6}\)

Step-by-step explanation:

Given

2x² - 4x = 10 ( divide through by 2 )

x² - 2x = 5

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 1)x + 1 = 5 + 1

(x - 1)² = 6 ( take the square root of both sides )

x - 1 = ± \(\sqrt{6}\) ( add 1 to both sides )

x = 1 ± \(\sqrt{6}\) ← exact solutions

Answer:

\(x \pm\sqrt6 +1\)

Step-by-step explanation:

Hello!

Standard form of a quadratic: ax² + bx + c

Solve:

Now, complete the square:

Add and subtract that in our equation:

Factor the perfect square trinomial:

The solutions are \(x \pm\sqrt6 +1\)

Answer:

(3,1)

Step-by-step explanation: