Pls answer the question below, first correct answer gets brianliest!

The game awards 2.5 points for 10 minutes of play.

Part A:

Let's use the given information to find the constant of proportionality. For every 2 minutes of play, the game awards one-half point. Therefore,

1 min of play  = 0.5/2 = 0.25 points

6 min of play = 0.25 x 6 = 1.5 points

The constant of proportionality is 0.25

Part B:

We can use the formula for a proportional relationship,

y = kx

where

y = number of points awarded,

x = amount of time played (in minutes), and

k = constant of proportionality.

Substituting k = 0.25, we get:

y = 0.25x

Part C:

To graph this relationship, let x be the independent variable (amount of time played) and y be the dependent variable (number of points awarded). Then, we can choose several values for x, compute the corresponding values of y using the equation above, and plot the ordered pairs (x, y).

Part D: To find the number of points awarded for 10 minutes of play, we can simply substitute x = 10 into the equation we found in Part B:

y = 0.25x = 0.25(10) = 2.5

Therefore, 2.5 points are awarded for 10 minutes of play.

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Answer:

Step-by-step explanation:

B

x is approximately equal to 6.

The ratios of the sides of a right triangle are called trigonometric ratios.

Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan).

sin = Perpendicular/ Hypotenuse

Cos = Base / Hypotenuse

tan = Perpendicular/Base

In the figure attached with the answer we can see that in Triangle ABC ,

tan 50.1 = x / 5

5(tan 50.1) = x

Therefore x is approximately equal to 6.

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The hypothetical constant-benefit payment is $76354.69. Hence, the correct option is b.

To calculate the hypothetical constant-benefit payment for a variable annuity contract, we need to use the present value of an annuity formula. The formula is as follows

Constant-benefit payment = P / [(1 - (1 + r)⁻ⁿ) / r]

Where

P = Accumulated amount in the annuity contract ($750,000)

r = Assumed investment return (9% or 0.09)

n = Life expectancy in years (25)

Using the given values in the formula, we can calculate the constant-benefit payment

Constant-benefit payment

= 750,000 / [(1 - (1 + 0.09)⁻²⁵) / 0.09]

= 750,000 / [(1 - (1.09)⁻²⁵) / 0.09]

= 750,000 / [(1 - 0.115) / 0.09]

= 750,000 / [0.884 / 0.09]

= 750,000 / 9.8

≈ 76354.69

Calculating this value gives us approximately $76354.69.

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-- The given question is incomplete, the complete question is

"Assume that at retirement you have accumulated $750,000 in a variable annuity contract. The assumed investment return is 9%, and your life expectancy is 25 years. What is the hypothetical constant-benefit payment?

a. $51,481.38  b. $76,354.69  c. $30,000.00   d. $33,333.33  e. The answer cannot be determined"--

Answer:

-3

Step-by-step explanation:

To find the slope (m) of the line that passes through Point A(3, -9) and the origin (0, 0), we can use the formula:m = rise/run = (change in y)/(change in x)We can calculate the change in y and change in x as follows:

Change in y = y2 - y1 = 0 - (-9) = 9

Change in x = x2 - x1 = 0 - 3 = -3

Substituting these values into the formula, we get:

m = rise/run = 9/-3 = -3

Therefore, the slope of the line that passes through Point A(3, -9) and the origin is -3.

a.  the p-value will be greater than the significance level of 0.01

b. The B-value is equal to 1 minus the p-value.

d. the 99% one-sided lower confidence bound on the true mean is approximately 1.9916 cm.

e. the hypothesized mean (2.00 cm) is greater than the lower bound (1.9916 cm), we fail to reject the null hypothesis.

a. To test for conformance to the company's requirement using the p-value approach, we can perform a one-sample t-test.

Null hypothesis (H0): The mean distance of the foil to the edge of the inflator is 2.00 cm.

Alternative hypothesis (Ha): The mean distance of the foil to the edge of the inflator is greater than 2.00 cm.

Given:

Sample mean (\(\bar{X}\)) = 2.02 cm

Standard deviation (σ) = 0.05 cm

Sample size (n) = 20

Significance level (α) = 0.01

We can calculate the test statistic (t-value) and the p-value using the formula:

t = (\(\bar{X}\) - μ) / (σ / √n)

where μ is the hypothesized mean (2.00 cm).

Calculating the test statistic:

t = (2.02 - 2.00) / (0.05 / √20)

t = 0.02 / (0.05 / √20)

t ≈ 0.5657

To find the p-value, we can consult the t-distribution table or use statistical software. Since the alternative hypothesis is one-sided (greater than), we need to find the area under the t-distribution curve to the right of the calculated t-value.

For a one-tailed test with a significance level of 0.01, the critical value (tcritical) can be found from the t-distribution table or using the inverse t-distribution function in software. In this case, tcritical is approximately 2.528.

The p-value is the probability of observing a t-value greater than or equal to the calculated t-value. We can find this probability using the t-distribution table or statistical software.

Comparing the calculated t-value to the critical value, we have:

t (0.5657) < t critical (2.528)

Since the calculated t-value is smaller than the critical value, the p-value will be greater than the significance level of 0.01. Therefore, we fail to reject the null hypothesis.

b. To calculate the B-value when the true mean is 2.03, we need to determine the probability of failing to reject the null hypothesis (Type II error).

Given:

Sample size (n) = 20

Sample mean (\(\bar{X}\)) = 2.02 cm

Standard deviation (σ) = 0.05 cm

Significance level (α) = 0.01 (two-tailed test)

True mean (μ) = 2.03 cm

To calculate the B-value, we need to assume a specific alternative value for the true mean. In this case, the assumed true mean is 2.03 cm.

We can calculate the B-value using statistical software or by finding the area under the null distribution curve (with μ = 2.00 cm) that falls within the rejection region for the alternative hypothesis (μ = 2.03 cm).

The B-value is equal to 1 minus the p-value.

c. To determine the sample size necessary to detect a true mean of 2.03 cm with a probability of at least 0.90, we need to perform a power analysis.

Given:

Significance level (α) = 0.01

Power (1 - β) = 0.90

Standard deviation (σ) = 0.05 cm

Difference in means (μ - μ0) = 2.03 - 2.00 = 0.03 cm (assuming a true mean of 2.03 cm)

Using statistical software or power analysis formulas, we can determine the required sample size to achieve the desired power level of 0.90.

d. To find a 99% one-sided lower confidence bound on the true mean, we can use the one-sided lower confidence interval formula:

Lower bound = \(\bar{X}\) - tα * (σ / √n)

Given:

Sample mean (\(\bar{X}\)) = 2.02 cm

Standard deviation (σ) = 0.05 cm

Sample size (n) = 20

Confidence level = 99% (α = 0.01)

We need to find the critical value (tα) corresponding to the desired confidence level. For a one-tailed test with a significance level of 0.01, the critical value can be obtained from the t-distribution table or using software. In this case, tα is approximately 2.539.

Plugging in the values:

Lower bound = 2.02 - (2.539 * (0.05 / √20))

Lower bound ≈ 2.02 - (2.539 * 0.0112)

Lower bound ≈ 2.02 - 0.0284

Lower bound ≈ 1.9916

Therefore, the 99% one-sided lower confidence bound on the true mean is approximately 1.9916 cm.

e. To test the hypothesis using the confidence interval found in part d, we can compare the lower bound (1.9916 cm) to the hypothesized mean (2.00 cm).

If the hypothesized mean (2.00 cm) falls within the confidence interval, we fail to reject the null hypothesis. If the hypothesized mean is less than the lower bound, we reject the null hypothesis.

Since the hypothesized mean (2.00 cm) is greater than the lower bound (1.9916 cm), we fail to reject the null hypothesis.

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Answer:

correct answer is C hope it helps you have a good day

please mark me as brain list

Answer:

D

Step-by-step explanation:

If you have ten feet on one side and 8 feet on another mulitiply and 10 times 8 is 80 so theres your answer

Answer:

Question1 80 cubic feet and question2 is 2100 cubic feet

Step-by-step explanation:

Answer:

1.08 • 10⁴ = 10,800

Step-by-step explanation:

Solution

Area of the rectangle = length x breadth

A. Write an equation to showing relationship between x and y:

The equation for the relationship between x and y is

3x + 2y = 30

Answer:$128

Step-by-step explanation:

If $1=6.25 rands then we must divide 800 by 6.25

Answer:

Step-by-step explanation:

25, i think

The next number in the sequence is 9.

The given sequence of numbers are perfect squares of decreasing numbers in descending order. Specifically, the given sequence consists of the squares of the first five counting numbers in descending order, starting from 8², then 7², 6², 5², and 4².

Therefore, the next number in the sequence should be the square of the next counting number in descending order, which is 3. Thus, the next number in the sequence should be 3², which is equal to 9.

To further explain, the sequence can be written as follows:

64 = 8²

49 = 7²

36 = 6²

25 = 5²

16 = 4²

The next number in the sequence is the square of the next counting number in descending order, which is 3. Therefore, the next number in the sequence should be 3², which is equal to 9. Thus, the next number in the sequence is 9.

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Answer:

y=9

Step-by-step explanation:

4y-7=29

(add 7 to both sides)

4y=36

(divide both sides by 4)

y=9

Answer:

$29.4

Step-by-step explanation:

I assume the question is based on simple interest since you didn't specify

Using simple interest

Simple interest=P×R×T

Where,

P=principal=$1470

R=interest rate=4%=0.04

T=time=6 months=0.5 year

Simple interest=P×R×T

=1470×0.04×0.5

=29.4

Interest earned=$29.4

Answer:

D

Step-by-step explanation:

f(x) = x^2+1 at x=-1, f(-1)=1+1=2

The statement "The line that can be drawn through points D and E is contained in plane Y" is true about the points and planes.

From the given information, we have the following conditions:

Vertical plane X intersects horizontal plane Y.

Point D is on the left half of plane Y.

Point F is on the bottom half of plane X.

Point E is on the right half of plane Y.

Point C is above and to the right of the planes.

Let's analyze each statement to determine its validity:

The line that can be drawn through points C and D is contained in plane Y.

This statement is not necessarily true based on the given information. Since point C is above and to the right of the planes, the line connecting C and D may not lie entirely in plane Y.

The line that can be drawn through points D and E is contained in plane Y.

This statement is true. Since point D is on the left half of plane Y and point E is on the right half of plane Y, any line passing through D and E would be contained within plane Y.

The only point that can lie in plane X is point F.

This statement is not necessarily true. While point F is on the bottom half of plane X, there could be other points that lie in plane X as well.

The only points that can lie in plane Y are points D and E.

This statement is not true. While points D and E are mentioned in the given conditions, there could be other points that lie in plane Y as well.

Based on the analysis, we conclude that the statement "The line that can be drawn through points D and E is contained in plane Y" is the only true statement about the points and planes.

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Answer:

On melissa's 6th birthday, she gets a $4000 cd that earns 3% interest, compounded quarterly. If... | like | dislike ... The amount accumulated in a certificate of deposit (CD) is found using the compound interest formula as a CD also earns compounding interest. ... The number of years between the 6th and 12th birthdays is 6

Step-by-step explanation:

There will be $41142.87 available on Melissa's 16th birthday.

Interest accrued on both the principal sum of money and the interest already earned.

The formula for compound interest is p(1+r/100)ⁿ - p

Where p is principal, r is rate and n is time.

Given that,

Amount that Melissa gets on her 6th birthday = $4000

Rate of interest = 6% compounded quarterly.

Melissa gets amount on her 16th birthday, time = 6 years

The amount that Melissa will get on her 16th birthday

= 4000(1+6/100)¹⁰ˣ⁴

= 4000 (106/100)⁴⁰

= 4000 x 10.2857

= 41142.87

Melissa will get $41142.87 on her 16th birthday.

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Teniendo en cuenta la definición de porcentaje, el pago original sin la mora del 10% es 130.

El porcentaje es una forma de referirse a una proporción tomando como referencia el número 100.

En otras palabras, el porcentaje es una fracción o una parte de 100, denominándose también como tanto por ciento, y se indica con el símbolo %.

Es decir, el porcentaje es la forma de expresar un número como una fracción que tiene como denominador el número 100 y representa la porción de un todo, que se obtiene dividiendo el monto conocido entre el total y multiplicándolo por 100.

El pago original es 100%. Al cobrarse una mora del 10%, se debe pagar 110% del pago original, representada por la letra P.

Entonces:

110%×P=143

Resolviendo:

P= 143 ÷ 110%

Considerando que un porcentaje es una cantidad determinada de cada 100 unidades, entonces  110 % significa 110 de cada 100 unidades, y es equivalente a 110/100. Entonces:

P=143 ÷ \(\frac{110}{100}\)

P= 130

Entonces, el pago original sin la mora del 10% es 130.

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(a) The displacement of the particle is given by s(7) - s(1) = [(1/3)(7^3) - 7^2 - 15(7)] - [(1/3)(1^3) - 1^2 - 15(1)]. (b) The distance traveled by the particle is  given by Distance = |Displacement|.

(a) To find the displacement of the particle, we need to calculate the definite integral of the velocity function over the given time interval. The displacement is equal to the change in position. The position function can be obtained by integrating the velocity function: s(t) = ∫[1 to t] (t^2 - 2t - 15) dt , s(t) = (1/3)t^3 - t^2 - 15t + C. To find the displacement, we subtract the position at the initial time from the position at the final time: Displacement = s(7) - s(1), Displacement = [(1/3)(7^3) - 7^2 - 15(7)] - [(1/3)(1^3) - 1^2 - 15(1)]. Simplifying the expression, we find the displacement of the particle. (b) To find the distance traveled by the particle, we need to calculate the total distance covered by the particle during the given time interval. Distance is always positive and is equal to the sum of all the magnitudes of displacements. We can calculate the distance by taking the absolute value of the displacement: Distance = |Displacement|. This gives us the total distance traveled by the particle during the given time interval.

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The correct answer is:

1. b

2. b

3. b

4. a

The first three functions have a positive coefficient and the biggest power is an even number. This means that no matter if the values are positive or negative, the image will always be positive.

In the last function, which is a linear equation, is clear the b option.

Answer:

-2n-3

Step-by-step explanation:

-5 , -7 they go up in steps of -2

but it was -2n this would be how it would go

a) -2 -4 -6 -8

which you can see is -3 off each time

so -2n which is a)  

and then -3

= -2n-3

plz say thanks ! xxx

Answer:

Ans: (-2, -9)

Explanation:

x-coordinate of the vertex:

x

=

(

−

b

2

a

)

=−42=−2y-coodinate of vertex: y=f(−2)=(−2)2+4(−2)−5=4−8−=−9

Step-by-step explanation:

Answer:

Age

Step-by-step explanation:

Typically the older you get, the taller you grow

Answer:

The solution is x = + 0.77 , -0.77

Step-by-step explanation:

The equation is

\(x^3 - 3x^2 - 4 = \frac{1}{x} -1 +5\\x^4 -3x^3 -4x = 1-4x\\x^4 - 3x^3 = 1\\x^3 (x-3) = 1\\\\x^4 -3x^3 -1 = 0\\x^4 -3x^3 -1\)

The solutions to the equation is

x = + 0.77 , -0.77

Answer:

0.91 and 3.69

Step-by-step explanation:

The required sample size of the given estimate is 1090.9809

The population standard deviation is approximately σ = 50.2. You would like to be 90% confident that your estimate is within 1.5 of the true population mean.

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,

For the 90% confidence the value of the z = 1.645

Now the sample size is given as,

n = [z × σ/2.5]²

Substitute values in the above equation,

n = [1.645×50.2/2.5]²

n = 1090.9809

Thus, the required sample size of the given estimate is 1090.9809.

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a) The solution for b in the equation 2b × 3 = 6 is b = 1.

b) The solution for b in the equation 32 - 3b = 2 is b = 10.

c) The solution for b in the equation 6 + 7b = 41 is b = 5.

d) The solution for b in the equation 100/5b = 2 is b = 10.

a) To solve for b in the equation 2b × 3 = 6, we can start by dividing both sides of the equation by 2 to isolate b.

2b × 3 = 6

(2b × 3) / 2 = 6 / 2

3b = 3

b = 3/3

b = 1

Therefore, the solution for b in the equation 2b × 3 = 6 is b = 1.

c) To solve for b in the equation 6 + 7b = 41, we can start by subtracting 6 from both sides of the equation to isolate the term with b.

6 + 7b - 6 = 41 - 6

7b = 35

b = 35/7

b = 5

Therefore, the solution for b in the equation 6 + 7b = 41 is b = 5.

b) To solve for b in the equation 32 - 3b = 2, we can start by subtracting 32 from both sides of the equation to isolate the term with b.

32 - 3b - 32 = 2 - 32

-3b = -30

b = (-30)/(-3)

b = 10

Therefore, the solution for b in the equation 32 - 3b = 2 is b = 10.

d) To solve for b in the equation 100/5b = 2, we can start by multiplying both sides of the equation by 5b to isolate the variable.

(100/5b) × 5b = 2 × 5b

100 = 10b

b = 100/10

b = 10.

Therefore, the solution for b in the equation 100/5b = 2 is b = 10.

In summary, the solutions for b in the given equations are:

a) b = 1

c) b = 5

b) b = 10

d) b = 10

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Answer:

\(\frac{6}{35}\)

Step-by-step explanation:

To find the ' middle ' add the 2 fractions and divide by 2 ( average )

\(\frac{1}{5}\) + \(\frac{1}{7}\) ( change denominators to 35 , the LCM of 5 and 7 )

= \(\frac{7}{35}\) + \(\frac{5}{35}\)

= \(\frac{12}{35}\)

midway = \(\frac{12}{35}\) ÷ 2 = \(\frac{6}{35}\)

The fraction is exactly midway between 1/5 and 1/7  is  \(\frac{6}{35}\) .

Sometimes you need to find the point that is exactly midway between two other points. For instance, you might need to find a line that bisects (divides into two equal halves) a given line segment. This middle point is called the "midpoint".

According to the question

The fraction is exactly midway between 1/5 and 1/7

Now ,

To find midway between 1/5 and 1/7

Step1 : Add fraction 1/5 and 1/7

= \(\frac{1}{5} +\frac{1}{7}\)

= \(\frac{12}{35}\)

Step2 : Divide the sum by 2 or multiply by 1/2

= \(\frac{12}{35}\) * \(\frac{1}{2}\)

= \(\frac{6}{35}\)

Hence, the fraction is exactly midway between 1/5 and 1/7  is  \(\frac{6}{35}\) .

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Answer: T = time remaining + time elapsed.

Step-by-step explanation:

Time elapsed means the time that he has been listening to the song (the minutes passed since he hits the play button)

Time remaining is the time left to finish the song.

Then the total duration of the song will be:

T = time remaining + time elapsed.

"Time Elapsed" simply refers to the time which has been spent listening to the music track. The "time remaining" on the other hand is the time left on for the song to come to an end. Song duration is the addition of both.

Please note that the information from the question required to give a well-rounded answer is incomplete. Hence the general answer.

To calculate the time duration of the song (which is the total length of the song in terms of time) the Time Elapsed must be added to the Time Remaining.

That is:

Total Duration = Time Elapsed + Time Remaining.

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