28 is the geometric mean of 13 and another number. Find the number and round your answer to the nearest hundredth

a. The parent function of the two given functions is h(t) = -16t².

b. To obtain the graph of h1 from the parent function, we need to vertically shift it upwards by 5000 units since the maximum height reached by the first parachutist is 5000 feet.

c. The second parachutist will reach the ground first.

The parent function of the two given functions is h(t) = -16t². This function represents the height of an object in free fall without considering initial velocity or air resistance. The coefficient -16 represents the acceleration due to gravity, and t² represents the square of time.

To obtain the graph of h1 from the parent function, we need to apply a vertical transformation. The function h1 = -16t²+ 5000 represents the height of the first parachutist. By adding 5000 to the parent function, we shift the graph upward by 5000 units. This shift accounts for the initial height from which the first parachutist jumps, which is 5000 feet.

c. To determine which parachutist will reach the ground first, we need to find the time when each of their heights is equal to zero. For the first parachutist, we set h1 = 0 and solve for t:

-16t² + 5000 = 0
t² = 312.5
t = ±17.68 seconds

Since time cannot be negative, we take the positive solution and find that the first parachutist will reach the ground after approximately 17.68 seconds.

For the second parachutist, we set h2 = 0 and solve for t:

-16t² + 4000 = 0
t² = 250
t = ±15.81 seconds

Again, taking the positive solution, we find that the second parachutist will reach the ground after approximately 15.81 seconds.

Therefore, the second parachutist will reach the ground first.

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Answer: In mathematics, the additive inverse of a number is the number that, when added to the original number, results in zero.

Step-by-step explanation: The additive inverse of 21.9 can be found by simply negating the value, which means changing the sign from positive to negative, or vice versa. Therefore, the additive inverse of 21.9 is -21.9, because 21.9 + (-21.9) = 0.

Rational

Step-by-step explanation:

Show that repeating decimal 1.27 is a rational number

Answer:

I believe it is a rational number.

The data Given is incomplete, question with exactly similar data could not be found. However, similar questions with different data are numerous. Using one of this questions to take you through the solution to your question :

.

Question :

Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $61,000,000, $92,000,000, $48,000,000, and so onBudget(x) 61 92 48 36 135 58 93Gross(y) 69 62 53 58 627 144 42

a. What are the null and alternative hypotheses?i) H_0: rho = 0, H_1: rho < 0

ii) H_0: rho = 0, H_1: rho notequalto 0

iii) H_0: rho notequalto 0, H_1: rho = 0

iv) H_0: rho = 0, H_1: rho > 0

b. Construct a scatterplot. Choose the correct graph below.

c. The linear correlation coefficient r is.

d. The test statistic t is.

e. The P-value is.

Answer:

Pvalue > α ; Hence, we fail to reject the null.

Step-by-step explanation:

When testing for correlation :

Correlation Coefficient r is always between - 1 and 1. The alternative is always the opposite of the null. To claim that correlation exists, the r will not be equal to 0, because 0 means no correlation.

1.)

H_0: rho = 0,

H_1: rho notequalto 0

2.)

Given the data :

Budget(x) : 61 92 48 36 135 58 93

Gross(y) : 69 62 53 58 627 144 42

Scatter plot is attached below

3.) The linear correlation Coefficient as obtained using technology is 0.751 ; which depicts a strong positive correlation

4.)

Test statistic :

T = r / √(1 - r²) / (n - 2)

r² = 0.751² = 0.564

T = 0. 751 / √(1 - 0.564) / (7 - 2)

T = 0.751 / 0.2952964

T = 2.543

E.)

Using the Value from Tscore calculator :

Pvalue(2.543, 5) ; two tailed

Pvalue = 0.0517

At α = 0.05;

Pvalue > α ; Hence, we fail to reject the null. there is no sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts.

Answer:

Step-by-step explanation:

Given points

Midpoint formula

Midpoint is (2, 2)

The appropriate regression model depends on the stationarity properties of both the dependent and independent variables, as well as the error term. The researcher can use a standard OLS regression model with first-order differencing of both Y and X.

In the first scenario, both Y and X are I(0), which means they are stationary time series. In this case, the researcher can perform a standard linear regression analysis, as the stationary series would lead to a stable long-run relationship. The answer from this model will be reliable and less likely to suffer from spurious regressions. In the second scenario, Y is I(2) and X is I(0). This implies that Y is integrated of order 2 and X is stationary. In this case, the researcher should first difference Y twice to make it stationary before performing a regression analysis. However, this approach might not be ideal as the integration orders differ, which can lead to biased results.

In the third scenario, Y and X are both I(1) and the error term is I(0). This indicates that both Y and X are non-stationary time series, but their combination might be stationary. The researcher should employ a co-integration analysis, such as the Engle-Granger method or Johansen test, to identify if there is a stable long-run relationship between Y and X. If co-integration is found, then an error correction model can be used for more accurate predictions.

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When one is using different algorithms it is important to know why they are being used because

This is the term that is used to refer to the set of rules which are followed especially when it comes to making computations or solving other problems that are computer based.

They help in the following ways. When one is using different algorithms it is important to know why they are being used because

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The values areas are:

Figure 1 = 69.81 in²

Figure 2 = 192.50 ft²

Figure 3 = 153.50 yd²

Figure 4 = 296.00 in²

Figure 5 = 126.00 ft²

Figure 6 = 26.30 ft²

This exercise requires your knowledge about the area of compound shapes. For solving this, you should:

The steps and solutions for each given figure are presented below.

The figure 1 is composed by a rectangle and a semicircle. Therefore, you should sum the area of these geometric figures.

Area of rectangle  - \(A_{rectangle}=l.w\), where:

l= length (12 in)and w=width (5 in).

\(A_{rectangle}=l.w=12*5=60 in^{2}\)

Area of semicircle- \(A_{semicircle}=\frac{Area circle}{2}=\frac{\pi*r^{2} }{2}\), where:

r= radius ( \(\frac{w}{2} =\frac{5}{2} =2.5\)) and π = 3.14

\(A_{semicircle}=\frac{Area circle}{2}=\frac{\pi*2.5^{2} }{2}=9.81 in^{2}\)

Therefore, \(A_{fig1}= 60 + 9.81=69.81 in^{2}\).

The figure 2 is composed by a parallelogram and a trapezoid. Therefore, you should sum the area of these geometric figures.

Area of parallelogram - \(A_{parallelogram}=b.h\), where:

b= length of the base (11 ft)and h=height (7 ft).

\(A_{parallelogram}=b.h=11*7=77ft^{2}\)

Area of trapezoid - \(A_{trapezoid}=\frac{(a+b)*h}{2}\), where:

a= long base (20-7=13 ft ), b = short base (8 ft) and height (11 ft)

\(A_{trapezoid}=\frac{(a+b)*h}{2}=\frac{(13+8)*11}{2}=\frac{21*11}{2}=\frac{231}{2}=115.50\)

Therefore, \(A_{fig2}= 77+ 115.5=192.50 ft^{2}\).

The figure 3 is composed by a triangle and a trapezoid. Therefore, you should sum the area of these geometric figures.

Area of triangle - \(A_{triangle}=\frac{b*h}{2}\), where:

b= length of the base (19 yd) and h=height (7 yd).

\(A_{triangle}=\frac{b*h}{2} =\frac{19*7}{2} =\frac{133}{2}= 66.5 yd^{2}\)

Area of trapezoid - \(A_{trapezoid}=\frac{(a+b)*h}{2}\), where:

a= long base (19 yd ), b = short base (10 yd) and height (13-7=6 yd)

\(A_{trapezoid}=\frac{(a+b)*h}{2}=\frac{(19+10)*6}{2}=\frac{29*6}{2}=29*3=87 yd^2\)

Therefore, \(A_{fig3}= 66.5+ 87=153.50 yd^{2}\).

The figure 4 is composed by two rectangles. Therefore, you should sum the area of these geometric figures.

Area of rectangle 1  - \(A_{rectangle}=l.w\), where:

l= length (16+5=21 in)and w=width (8 in).

\(A_{rectangle}=l.w=21 *8=168 in^{2}\)

Area of rectangle 2  - \(A_{rectangle}=l.w\), where:

l= length (16 in)and w=width (5 in).

\(A_{rectangle}=l.w=16*8=128 in^{2}\)

Therefore, \(A_{fig4}= 168+ 128=296.00 in^{2}\).

The figure 5 is composed by a square and a parallelogram. Therefore, you should sum the area of these geometric figures.

Area of square - \(A_{square}=l^2\), where:

l= length (9 ft).

\(A_{square}=l^{2}=9^2=81 ft^{2}\)

Area of parallelogram - \(A_{parallelogram}=b.h\), where:

b= length of the base (9 ft)and h=height (14-9=5 ft).

\(A_{parallelogram}=b.h=9*5=45ft^{2}\)

Therefore, \(A_{fig5}= 81+ 45=126.00 ft^{2}\)

The figure 5 is composed by a triangle and a semicircle. Therefore, you should sum the area of these geometric figures.

Area of triangle - \(A_{triangle}=\frac{b*h}{2}\), where:

b= length of the base (6 yd) and h=height (4 yd).

\(A_{triangle}=\frac{b*h}{2} =\frac{6*4}{2} =\frac{24}{2}= 12 yd^{2}\)

Area of semicircle- \(A_{semicircle}=\frac{Area circle}{2}=\frac{\pi*r^{2} }{2}\), where:

r= radius ( \(\frac{6}{2} =3\)) and π = 3.14

\(A_{semicircle}=\frac{Area circle}{2}=\frac{\pi*3^{2} }{2}=14.3 yd^{2}\)

Therefore, \(A_{fig6}= 12+ 14.3=26.3 yd^{2}\)

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You cannot solve it because you do not know what x and y are for the parallel line. which is the correct answer would be option (B).

We have to find out the y-intercept of the line that is parallel to y = 0.5x - 2,

As per the given options,

Since the parallel line goes through point (3, 0) substitute 3 for x and 0 for y and solves for b, the y-intercept.

This is not the correct answer.

You cannot solve it because you do not know what x and y are for the parallel line.

This is the correct answer.

Since the parallel line goes through the point (3, 0) substitute 0 for x and 3 for y and solve for b, the y-intercept.

This is not the correct answer.

Therefore, You can't solve it since you don't know what the parallel line's x and y coordinates are.

Hence, the correct answer would be option (B).

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Explanatory Answer:

To construct a confidence interval for the population proportion of adults who believe in UFOs, we can use the following formula:

CI = p ± zsqrt(p(1-p)/n)

where:

CI is the confidence interval

p is the sample proportion

z* is the critical value from the standard normal distribution for the desired confidence level

n is the sample size

In this case, the sample proportion is p = 746/2276 = 0.3275. The sample size is n = 2276.

To find the critical value z* for a 99% confidence level, we can look up the value in a standard normal distribution table or use a calculator. The critical value for a 99% confidence level is approximately 2.576.

Substituting these values into the formula, we get:

CI = 0.3275 ± 2.576sqrt(0.3275(1-0.3275)/2276)

Simplifying the expression inside the square root, we get:

CI = 0.3275 ± 0.0225

Therefore, the 99% confidence interval for the population proportion of adults who believe in UFOs is:

CI = (0.305, 0.350)

This means that we are 99% confident that the true proportion of adults who believe in UFOs is between 0.305 and 0.350.

The minors of the given matrix are:

 6  -24  60

-93   0   -93

 6   10  -27

We have,

To find the minors of a matrix, we calculate the determinants of each of the 2x2 submatrices formed by removing one row and one column from the original matrix.

Given the matrix:

-5 8 5

4 -1 0

6 9 -6

Let's calculate the minors:

- For the element in the first row, the first column (-5):

Remove the first row and first column to obtain the submatrix:

-1 0

9 -6

The determinant of this 2x2 submatrix is (-1 x -6) - (0 x 9) = 6.

Therefore, the minor for the element -5 is 6.

- For the element in the first row, second column (8):

Remove the first row and second column to obtain the submatrix:

4 0

6 -6

The determinant of this 2x2 submatrix is (4 x -6) - (0 x 6) = -24.

Therefore, the minor for the element 8 is -24.

- For the element in the first row, third column (5):

Remove the first row and third column to obtain the submatrix:

4 -1

6 9

The determinant of this 2x2 submatrix is (4 x 9) - (-1 x 6) = 54 + 6 = 60.

Therefore, the minor for the element 5 is 60.

- For the element in the second row, first column (4):

Remove the second row and first column to obtain the submatrix:

8 5

9 -6

The determinant of this 2x2 submatrix is (8 x -6) - (5 x 9) = -48 - 45 = -93.

Therefore, the minor for the element 4 is -93.

- For the element in the second row, second column (-1):

Remove the second row and second column to obtain the submatrix:

-5 5

6 -6

The determinant of this 2x2 submatrix is (-5 x -6) - (5 x 6) = 30 - 30 = 0.

Therefore, the minor for the element -1 is 0.

- For the element in the second row, third column (0):

Remove the second row and third column to obtain the submatrix:

-5 8

6  9

The determinant of this 2x2 submatrix is (-5 x 9) - (8 x 6) = -45 - 48 = -93.

Therefore, the minor for the element 0 is -93.

- For the element in the third row, first column (6):

Remove the third row and first column to obtain the submatrix:

-1 0

9 -6

The determinant of this 2x2 submatrix is (-1 x -6) - (0 x 9) = 6.

Therefore, the minor for the element 6 is 6.

- For the element in the third row, second column (9):

Remove the third row and second column to obtain the submatrix:

-5 5

4 -6

The determinant of this 2x2 submatrix is (-5 x -6) - (5 x 4) = 30 - 20 =

Therefore, the minor for the element 9 is 10.

- For the element in the third row, third column (-6):

Remove the third row and third column to obtain the submatrix:

-5 8

4 -1

The determinant of this 2x2 submatrix is (-5 x -1) - (8 x 4) = 5 - 32 = -27.

Therefore, the minor for the element -6 is -27.

Thus,

The minors of the given matrix are:

 6  -24  60

-93   0   -93

 6   10  -27

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Answer:

9.375 days

Step-by-step explanation:

Let d be the number of days the do 1 work(job). The speed A can do the job is (1/3)/(5)=1/3 × 1/5=1/15. The speed B can do the job is (2/5)/(10)=2/5 × 1/10=2/50=1/25. (These speeds have units work per 1 day)

So the amount of work done in d days for A is 1/15×d=d/15 and that same amount of days B does 1/25×d=d/25 work.

We are trying to figure out when they ddo 1 work together.

We need to solve

d/15+d/25=1

Multiply both sides by 75=least common multiple of 15 and 25.

75d/15+75d/25=75

Reducing:

5d+3d=75

Combine like terms:

8d=75

Divide both sides by 8:

d=75/8

d=9.375

Answer:

A number line is a line that relates points on line with numbers :)

The Number line is a line that relates points on the line with numbers.

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

We have to given that;

A line that relates points on the line with numbers.

Now,

We know that;

Number line is a line where numbers are marked at equal intervals one after another form smaller to greater.

Hence, Number line is a line that relates points on the line with numbers.

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1,000 mcg (micrograms) is equal to 1 mg (milligram).

Micrograms (mcg) and milligrams (mg) are both units of measurement for mass (weight) in the metric system. The prefix "micro" means one millionth, so one microgram is equal to one millionth of a gram.

A milligram is one thousandth of a gram. To convert mcg to mg, divide the number of mcg by 1,000. So, 1,000 mcg / 1,000 = 1 mg. This means that there are 1,000 mcg in 1 mg. It is important to note that 1mg is 1000 times larger than 1mcg.

This conversion is simple but it is important to be careful when measuring medication and dosage to avoid errors and ensure safety, always consult with a doctor or pharmacist.

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Answer:

1 sample

Step-by-step explanation:

There is only one sample given for 20%

Answer:

the answer would be

b) 1 sample

Answer:

x

Step-by-step explanation:

Answer:

21,000-600 = 20,400

20,400/3400 = 6

t = 6

21,000=3,400(6)+600

21,000=20,400+600

21,000=21,000

34.00

*6

__

204.00

3,400*6=20,400

Step-by-step explanation:

pls brainlies

Answer:

We are going to solve for t if a is 27,000 (ft).

27000-60=1200t + 60-60

26,940=1200t

Divide each side by 1200

22.45=t (minutes)

Answer:

The answer should be BAD

Step-by-step explanation:

They are all parallel from each other and will never touch

Answer:

The answer is D. 64 because after 49 it is 64 (8*8=64 and 7*7=49)

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 6, - 3)

m = \(\frac{-3-5}{-6+2}\) = \(\frac{-8}{-4}\) = 2

The constant of proportionality is comes out to be 3.

When two variables are proportional to one another, their relationship can be expressed as y = kx or y = k/x, where k defines how the 2 factors are related to one another. The above k is recognized as the proportionality constant.

Now according to the question.

The proportionality constant denotes the ratio of the words x and y.

It is found by dividing Δy by Δx.

Δy/Δx = (y₂ - y₁)/(x₂ - x₁)

Consider two values from the table;

y₂ = 39 ; x₂ = 13

y₁ = 30 ; x₁ = 10

Substituting the values in the formula;

Δy/Δx = (39 - 30)/(13 - 10)

Δy/Δx = 9/3

Δy/Δx = 3

Therefore, the value of constant of proportionality is 3.

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The complete question is -

Washington high school's head tennis coach, Ms. racket, runs a tennis camp for middle school students every summer. the students bring their own lunches, but Ms. racket provides them with snacks. there is a proportional relationship between the number of students who enroll in Ms. racket's tennis camp, x, and the total number of snacks she buys, y. what is the constant of proportionality? write your answer as a whole number or decimal. snacks per student.

X      Y

10     30

13     39

14     42

21     63

The sample space for rolling a fair eight-sided die is {1, 2, 3, 4, 5, 6, 7, 8}.

We have to find the sample space for rolling a fair eight-sided die.

The sample space for rolling a fair eight-sided die consists of all the possible outcomes of a single roll of the die.

As the die has eight sides numbered from 1 to 8, the sample space can be represented as:

S = {1, 2, 3, 4, 5, 6, 7, 8}

Therefore, the sample space for rolling a fair eight-sided die is {1, 2, 3, 4, 5, 6, 7, 8}.

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A. The concentration of pyrite, arsenopyrite, and chalcopyrite in the concentrate is:
- Pyrite (FeS2): 2.268 mol
- Arsenopyrite (FeAsS): 0.128 mol
- Chalcopyrite (CuFeS2): 0.212 mol
B. The recovery of oversize materials is 80%, the recovery of undersize materials is 20%, and the overall screen efficiency is 100%.
C. Approximately 0.9 grams of magnetite must be added to 1 L of water to make a slurry with a pulp density of 1.9 g/cm3.

A. To find the concentration of pyrite, arsenopyrite, and chalcopyrite in the concentrate, we need to calculate the amount of each mineral present based on their respective concentrations of arsenic (As), copper (Cu), and iron (Fe).

First, let's assume we have 100 grams of the concentrate. From the given concentrations, we can calculate the weight of each element in the concentrate as follows:
- Arsenic (As): 9.6% of 100 g = 9.6 g
- Copper (Cu): 13.5% of 100 g = 13.5 g
- Iron (Fe): 63.3% of 100 g = 63.3 g

Now, we need to convert the weight of each element to moles by dividing it by its molar mass:
- Arsenic (As): 9.6 g / 74.92 g/mol = 0.128 mol
- Copper (Cu): 13.5 g / 63.55 g/mol = 0.212 mol
- Iron (Fe): 63.3 g / 55.85 g/mol = 1.134 mol

Since pyrite (FeS2) contains 2 moles of iron (Fe) for every 1 mole of sulfur (S), the concentration of pyrite can be calculated as:
- Pyrite (FeS2): 2 * 1.134 mol = 2.268 mol

Similarly, arsenopyrite (FeAsS) contains 1 mole of arsenic (As), 1 mole of iron (Fe), and 1 mole of sulfur (S), so the concentration of arsenopyrite can be calculated as:
- Arsenopyrite (FeAsS): 0.128 mol

Chalcopyrite (CuFeS2) contains 1 mole of copper (Cu), 1 mole of iron (Fe), and 2 moles of sulfur (S), so the concentration of chalcopyrite can be calculated as:
- Chalcopyrite (CuFeS2): 0.212 mol

Therefore, the concentration of pyrite, arsenopyrite, and chalcopyrite in the concentrate is:
- Pyrite (FeS2): 2.268 mol
- Arsenopyrite (FeAsS): 0.128 mol
- Chalcopyrite (CuFeS2): 0.212 mol

B. To calculate the recovery of oversize and undersize materials, as well as the overall screen efficiency, we need to consider the feed, oversize, and undersize materials' cut-point sizes.

The recovery of oversize materials is the percentage of material larger than the cut-point size that passes through the screen. In this case, the cut-point size for oversize is 0.85. If the oversize material passing through the screen is 120 tph, we can calculate the recovery as:
- Recovery of oversize = (120 tph / 150 tph) * 100 = 80%

The recovery of undersize materials is the percentage of material smaller than the cut-point size that passes through the screen. In this case, the cut-point size for undersize is 0.15. If the undersize material passing through the screen is 30 tph, we can calculate the recovery as:
- Recovery of undersize = (30 tph / 150 tph) * 100 = 20%

The overall screen efficiency is the percentage of material passing through the screen compared to the total feed. If the total feed is 150 tph and the material passing through the screen is 150 tph, we can calculate the overall screen efficiency as:
- Overall screen efficiency = (150 tph / 150 tph) * 100 = 100%

C. To calculate the amount of magnetite required to make a slurry with a pulp density of 1.9 g/cm3, we need to use the density of magnetite and the volume of water.

Given:
- Density of magnetite = 5.2 g/cm3
- Pulp density = 1.9 g/cm3
- Volume of water = 1 L

First, we need to determine the mass of water by multiplying the volume by its density:
- Mass of water = Volume of water * Density of water = 1 L * 1 g/cm3 = 1000 g

Now, let's assume we need x grams of magnetite. The total mass of the slurry will be the sum of the mass of water and the mass of magnetite:
- Total mass of slurry = Mass of water + Mass of magnetite = 1000 g + x g

Since the pulp density is given as 1.9 g/cm3, the volume of the slurry can be calculated as the total mass of the slurry divided by the pulp density:
- Volume of slurry = Total mass of slurry / Pulp density = (1000 g + x g) / 1.9 g/cm3

Since the volume of slurry is given as 1 L, we can equate the volume equation to 1 L and solve for x:
- (1000 g + x g) / 1.9 g/cm3 = 1 L
- 1000 g + x g = 1.9 g/cm3 * 1 L
- x g = 1.9 g/cm3 * 1 L - 1000 g
- x g = 1.9 g - 1000 g
- x g = 0.9 g

Therefore, approximately 0.9 grams of magnetite must be added to 1 L of water to make a slurry with a pulp density of 1.9 g/cm3.

In summary:
A. The concentration of pyrite, arsenopyrite, and chalcopyrite in the concentrate is:
- Pyrite (FeS2): 2.268 mol
- Arsenopyrite (FeAsS): 0.128 mol
- Chalcopyrite (CuFeS2): 0.212 mol

B. The recovery of oversize materials is 80%, the recovery of undersize materials is 20%, and the overall screen efficiency is 100%.

C. Approximately 0.9 grams of magnetite must be added to 1 L of water to make a slurry with a pulp density of 1.9 g/cm3.
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The solution is 84 boats

The total number of boats in the marina is 84 boats

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total number of boats in the marina be A

Now , the value of A is

And , the number of boats in the marina that are white = ( 3/4 ) A

So , the remaining boats = A - ( 3/4 ) A

The remaining boats = ( 1/4 ) A

And , 4/7 of the remaining boats are blue

So , substituting the values in the equation , we get

The number of boats in the marina that are blue = 4/7 ( ( 1/4 ) A )

The number of boats in the marina that are blue = ( 1/7 ) A

And ,

The remaining number of boats are red

So , the remaining number of boats = A - ( number of boats in the marina that are white + number of boats in the marina that are blue )

Substituting the values in the equation , we get

Number of boats in the marina that are red = A - ( 3/4 A + 1/7 A )

Number of boats in the marina that are red = A - ( 25/28 ) A

Number of boats in the marina that are red = ( 3/28 ) A

Now , There are 9 red boats , so substituting the value in the equation ,

Number of boats in the marina that are red = 9 = ( 3/28 ) A

On simplifying the equation , we get

( 3/28 ) A = 9

Multiply by 28 on both sides of the equation , we get

3A = 9 x 28

Divide by 3 on both sides of the equation , we get

A = 3 x 28

A = 84 boats

Therefore , the value of A is 84 boats

Number of red boats = 9 boats

Number of white boats = ( 3/4 ) A = 3/4 x 84 = 63 boats

Number of blue boats = ( 1/7 ) A = 1/7 x 84 = 12 boats

Total number of boats = 9 + 12 + 63 = 84 boats

Hence , The total number of boats is 84 boats

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The ratios involved in the ROI formula are the net profit and the investment cost.

The ROI (Return on Investment) formula includes the following ratios:

Net Profit: The net profit represents the profit gained from an investment after deducting expenses, costs, and taxes.

Investment Cost: The investment cost refers to the total amount of money invested in a project, including initial capital, expenses, and any additional costs incurred.

The ROI formula is calculated by dividing the net profit by the investment cost and expressing it as a percentage.

ROI = (Net Profit / Investment Cost) * 100%

Therefore, the ratios involved in the ROI formula are the net profit and the investment cost.

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Answer:

-2 is the answer

Step-by-step explanation:

In the down question i.e (5t+2)° answer is one as anything to the power zero is one so we have fond the value of 5 is one t is one and 2 is also one

By putting the value of t

we have ,

(2t-4)

=(2x1-4)

=2-4

= -2

Answer:

2.29×10^1

Step-by-step explanation:

2.49 multiply with 10 and then minus with 2 and you will get 22.9 if you want it in standard form the answer will be 2.29×10^1

Their experimental design was Independent variable was contact plates placed on the tile for less than 5 seconds. Option D is the correct answer.

The independent variable is the factor that is being manipulated by the experimenter. In this case, the experimenter is manipulating the length of time the plates are on the tiles. The dependent variable is the factor that is being measured by the experimenter. In this case, the experimenter is measuring the amount of bacteria on the plates.

The control is a group of subjects that are not exposed to the independent variable. In this case, the control group is the floor tiles that have been inoculated with chicken broth. The control group is used to compare the results of the experimental group, which is the group of plates that have been dropped on the tiles.

The standardized variables are the factors that are kept the same for both the experimental group and the control group. In this case, the standardized variables are the type of food, the surface of the tiles, and the temperature of the room. These factors are kept the same so that the only difference between the two groups is the length of time the plates are on the tiles.

This experimental design is a well-controlled experiment because the experimenter has taken steps to ensure that the only difference between the two groups is the length of time the plates are on the tiles. This will allow the experimenter to make accurate conclusions about the effect of the independent variable on the dependent variable. Option D is the correct answer.

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The following question may be like this:

The Myth busters conducted an experiment to test the five second rule. Which of the following represented their experimental design?