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A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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Given statement solution is :- It takes approximately 1.122 seconds for the ball to reach its maximum height.

To find the time it takes for the ball to reach its maximum height, we need to determine the vertex of the parabolic function given by the equation h(t) = \(-4.9t^2 + 11t + 7.\)

The vertex of a parabola in the form y = \(ax^2 + bx\) + c is given by the formula t = -b / (2a).

Comparing the equation h(t) = \(-4.9t^2 + 11t + 7\) to the standard form, we have:

a = -4.9

b = 11

Using the formula for the vertex, we can calculate the time it takes to reach the maximum height:

t = -11 / (2 * -4.9)

t = -11 / -9.8

t ≈ 1.122

Therefore, it takes approximately 1.122 seconds for the ball to reach its maximum height.

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Answer:

One sample test of proportions

Step-by-step explanation:

Which test is most appropriate to test whether the proportion of skiers is not 0.50?

Since the test says to test whether the proportion of skiers is not 0.50, then here we will be studying just only the promotion of skiers without the comparison with snowboarders.

We have been given an hypothesized promotion and the test says to test against this proportion, so the appropriate test to use here is the one sample test of proportions

Answer: 4

Step-by-step explanation:

16 - 12

Answer:

 = 4

Step-by-step explanation:

Answer:

Queda 2/5 del depósito del agua para el resto de la semana.

Step-by-step explanation:

(This problem is presented in Spanish and for that reason explanation will be held in the same language)

La capacidad remanente del depósito de agua se obtiene mediante una resta de fracciones. Es decir:

\(x = 1 - \frac{1}{10} - \frac{3}{10} - \frac{2}{10}\)

\(x = \frac{10}{10} - \frac{1}{10} - \frac{3}{10} - \frac{2}{10}\)

\(x = \frac{10-1-3-2}{10}\)

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

\(x = \frac{2}{5}\)

Queda 2/5 del depósito del agua para el resto de la semana.

Answer:

14

Step-by-step explanation:

The transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.

A Transformation in Math is a process of moving an object (two-dimensional shape) from its original position to a new position.

Given that, a function f(x) undergo some transformations to become f(x+9)-1,

We know that,

Vertical Shifting:

Adding a constant to a function will shift its graph vertically (i.e. y = f (x) + c). Adding a positive constant c will shift the graph upward c units, while adding a negative constant c will shift it downward c units.

Horizontal Shifting:

Horizontal shifts are inside changes that affect the input (x-) axis values and shift the function left or right. Combining the two types of shifts will cause the graph of a function to shift up or down and right or left.

Therefore, there is transformation of a horizontal and vertical shift.

Hence, the transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.

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\((8.2 \times 10^(^-^1^0^))\)\((5.3\times 10^(^-^9^))\)The sum of \((5.3 \times 10^(^-^9^))\) and \((8.2 \times 10^(^-^1^0^))\) in scientific notation is 1.35 x 10^−8.

To find the sum of \((5.3 \times 10^(^-^9^))\) and \((8.2 x 10^(^-^1^0^))\), we can add the coefficients and keep the same base, which is 10. Adding 5.3 and 8.2 gives us 13.5. Since both numbers are expressed in scientific notation, we need to adjust the decimal point to have one digit to the left of it.

The exponent in scientific notation represents the number of decimal places we need to move the decimal point to the left (for negative exponents) or to the right (for positive exponents). In this case, the exponents are -9 and -10.

Since -9 is larger than -10, we need to adjust the decimal point by 1 place to the left. Therefore, the sum of \((5.3 x 10^(^-^9^))\) and \((8.2 \times 10^(^-^1^0^))\) in scientific notation is \(1.35 \times 10^-^8^\).

Note: Scientific notation is a concise way of representing very large or very small numbers by using powers of 10. It consists of a coefficient (a decimal number between 1 and 10) multiplied by 10 raised to an exponent.

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Answer:

i) 3/8

ii) -2

Step-by-step explanation:

i) 1/2*3/2/(1/2+3/2)

3/4/2

3/4*1/2

3/8.

ii) 1/2+3/2 / 1/3-3/2

2/-1

-2.

Hope this helps :)

The intersection points are: (0, -3) and (10, 2)

The bounded area is -20.83 unit²

(a) The  intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:

(0, -3) and (10, 2)

(b) The integral terms of y which gives the area bound are:

a = -3, b = 2 (These are the y values of the intersection points)

Since we have x = y² + 3y and x = 2y + 6, we can say:

y² + 3y = 2y + 6

y² + 3y - 2y - 6 = 0

y² + y - 6 = 0

Thus, h(y) =

Using a = -3 and b = 2  with h(y) = y² + y - 6, we have the bounded area as:

\(Area = \int\limits^b_a {y} \, dy\)

\(Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy\)

Integrating the area:

Area = [y³/3 + y²/2 - 6y + C]²₋₃

Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]

Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]  

Area = [-22/3] - [27/2]

Area = -125/6

Area = -20.83 unit²

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The probability of tossing "heads" on each of your first two tosses is 0.25

Probability = n(E)/n(S)

Where E is the possibility of an event occurring

and S is the sample space i.e., the total number of possible outcomes.

Probability is the measure of how likely an event can happen. The probability of any event lies between 0 and 1 only.

The sample space for when you toss one coin is - H, T

So the probability to get an H is= 1/2

=0.5

Similarly, The sample space for when you toss two coins is HH, TT, HT, TH

So, the probability to get an H on each of your first two tosses is = 1/4

=0.25

Therefore, The probability of tossing "heads" on each of your first two tosses is 0.25

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To set up the amortization table, we can use the mortgage and interest formulas as follows:

Mortgage formula:

M = P [ i(1 + i)^n / (1 + i)^n - 1]

where M is the monthly payment, P is the principal (the amount borrowed), i is the monthly interest rate (APR divided by 12), and n is the total number of payments (20 years multiplied by 12 months per year).

Interest formula:

I = P * i

where I is the monthly interest payment, P is the remaining principal balance, and i is the monthly interest rate.

Using these formulas, we can set up the following amortization table for the first two months:

Month Payment Principal Interest Balance

1    $400,000

2    

To fill in the table, we need to calculate the monthly payment (M) and the monthly interest payment (I) for the first month, and then use these values to calculate the principal payment for the first month. We can then subtract the principal payment from the initial balance to get the balance for the second month, and repeat the process to fill in the remaining columns.

To calculate the monthly payment (M), we can use the mortgage formula:

M = P [ i(1 + i)^n / (1 + i)^n - 1]

where P is the principal amount, i is the monthly interest rate, and n is the total number of payments.

Plugging in the given values, we get:

M = 400,000 [ 0.00279 (1 + 0.00279)^240 / (1 + 0.00279)^240 - 1]

M = $2,304.14

Therefore, the monthly payment is $2,304.14.

To calculate the interest payment for the first month, we can use the interest formula:

I = P * i

where P is the remaining principal balance and i is the monthly interest rate.

Plugging in the values for the first month, we get:

I = 400,000 * 0.00279

I = $1,116.00

Therefore, the interest payment for the first month is $1,116.00.

To calculate the principal payment for the first month, we can subtract the interest payment from the monthly payment:

Principal payment = Monthly payment - Interest payment

Principal payment = $2,304.14 - $1,116.00

Principal payment = $1,188.14

Therefore, the principal payment for the first month is $1,188.14.

To calculate the balance for the second month, we can subtract the principal payment from the initial balance:

Balance = Initial balance - Principal payment

Balance = $400,000 -$1,188.14

Balance = $398,811.86

Therefore, the balance for the second month is $398,811.86.

Using these values, we can complete the first two rows of the amortization table as follows:

Month Payment Principal Interest Balance

1 $2,304.14 $1,188.14 $1,116.00 $398,811.86

2    

To fill in the remaining columns for the second month, we can repeat the process using the new balance of $398,811.86 as the principal amount for the second month. We can calculate the interest payment using the same method as before, and then subtract the interest payment from the monthly payment to get the principal payment. We can then subtract the principal payment from the balance to get the new balance for the third month, and repeat the process for the remaining months of the amortization period.

The WACC for A-Rod Manufacturing Company is 11.2%.

how to get A-Rod Manufacturing Company's weighted average cost of capital (WACC):

Determine the debt's cost. The yield on the company's outstanding bonds is the cost of debt. In this instance, the company's bond yield is 11.8%.

Determine the preferred stock's price. The dividend yield on the company's preferred stock is the cost of preferred stock. In this instance, the preferred stock of the corporation has a dividend yield of 8.5 percent.

Determine the equity cost. The anticipated return that investors expect on the company's common shares is known as the cost of equity. The dividend discount model is one popular way to determine the cost of equity among the many other approaches. The cost of this model's

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Answer:

4!

Step-by-step explanation:

Hope this helped

Answer:

The right answer is:

(a) -10.67

(b) 0.7986

Step-by-step explanation:

(a)

According to the question,

X                          P(X)                  X.P(X)                 X2.P(X)

12130                  0.002               24.26                 294274

-35                      0.998               -34.93                1222.55      

Now,

\(\Sigma x.P(x) = -10.67\)

or,

\(\Sigma x^2.P(x) = 295496.35\)

hence,

The mean will be:

\(\Sigma x.P(x) = -10.67\)

(b)

According to the question,

n = 12

p = 0.125

q = 1 - p

  = 0.875

Now,

⇒ \(P(X=x) = \binom{n}{x} p^x q^{n-x}\)

By substituting the values, we get

⇒ \(P(X \geq 1)=1-(\binom{12}{0} 0.125^0. 0.875^{12-0})\)

⇒                  \(=1-(1 (0.125^0) (0.875^{12}))\)

⇒                  \(=1-(1(1.0)(0.2014))\)

⇒                  \(=1-(0.2014)\)

⇒                  \(=0.7986\)    

The average number of likes will be 16.5. the correct option is D.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.

Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.

The average will be calculated as:-

Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6

Mean = 99 / 6

Mean = 16.5

Therefore, the average number of likes will be 16.5. the correct option is D.

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Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer: The answer is D. the last option

Step-by-step explanation:

The correct answer is option d) The graph is the radical function, y = √x shifted right 1 unit and up 4 units.

The original function is y = √(x - 1) + 4, which represents a radical function.

This function involves taking the square root of the quantity (x - 1) and then adding 4 to the result.

By shifting the function right 1 unit, we are replacing x with (x - 1). This means that the graph will be shifted horizontally by 1 unit to the right compared to the standard square root function.

By shifting the function up 4 units, we are adding 4 to the output of the square root function.

This means that the graph will be shifted vertically by 4 units compared to the standard square root function.

Therefore, the graph of the function y = √(x - 1) + 4 is the radical function y = √x shifted right 1 unit and up 4 units.

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

angle wyx that is angle y is largest as it's the opposite angle to the largest side of a triangle

Answer:

10.4 it is the correct answer please mark me as a brainlist

Answer:

x=2 meters

Step-by-step explanation:

surface area=10 *(2.5+1.5+x)+2*1/2*1.5*x

=10(4+x)+1.5x

=40+10x+1.5x

=40+11.5x

now 40+11.5x=63

11.5x=63-40

11.5x=23

x=23/11.5=230/115=2

Answer: -8

Step-by-step explanation:

\(g(-1)=2(-1)+5=3\\\\f(g(-1))=f(3)=1-3^{2}=\boxed{-8}\)

Answer:

b.) f(g(-1)) = -8

Step-by-step explanation:

Given following:

Start solving from the right while doing these sums.

The Circle Sector Area correct answer is: O n(30in)2

To calculate the area of the sector in the circle, you would typically use the formula:

Area = (θ/360) * π *\(r^2\)

where θ is the angle of the sector in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.

From the options you provided, the correct choice would be:

O n(30in)2

This option represents the square of the radius (30in) squared, which gives you the value of \(r^2.\)

Therefore, the Circle Sector Area correct answer is: O n(30in)2

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The graph of the linear inequality  y > 5 / (-2x + 2) shows a solution of (0, 2.5)

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.

In the given inequality, y > 5 / (-2x + 2) can be represented on a graph using a graphing calculator.

Kindly find the attached graph below

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Answer:

Yes, there is a linear relationship between height and volume.

V = (12π)h. 12π is a constant.

If you rewrite this as y = (12π)x and graph it, you will notice that the graph is a line which goes through the origin.