b) Since Barrow is looking for a good batter for his team, do you think that the batting average or the
slugging average is more indicative of a good batter? Answer the question and explain your
reasoning in 2-3 sentences.

Answer:

A = 60 ft^2

Step-by-step explanation:

Area of Kite Formula

\(A = \frac{pq}{2}\\A = \frac{30(4)}{2} =\frac{120}{2} = 60\)

The question asks us to find the face value of a zero-coupon bond given its price and the bond’s characteristics, such as the maturity period and the yield rate.

In this case, we are given a 20-year bond with a yield rate of 6.61% and a price of $8400.

A zero-coupon bond is a type of bond that does not pay periodic interest payments (coupons). Instead, it is issued at a discounted price and pays the face value (also known as the par value or maturity value) at maturity.

To find the face value of the zero-coupon bond, we need to determine the discounted value of the bond’s future cash flow at the given yield rate.

Given:
Maturity period = 20 years
Yield rate = 6.61%
Price = $8400

The face value of the zero-coupon bond can be calculated using the formula for the present value of a future cash flow:

Face value = Price / (1 + Yield rate)^(Maturity period)

Substituting the given values:
Face value = $8400 / (1 + 0.0661)^(20)

Performing the calculations:
Face value = $8400 / (1.0661)^(20)
Face value ≈ $2846.80

Therefore, the face value of the zero-coupon bond is approximately $2846.80.


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To make the best prediction of the number of students who wake up after 6:30 am, we can use the information provided by the survey.

Out of the 20 students surveyed:

3 students woke up before 6 am.

13 students woke up between 6 am and 6:30 am.

4 students woke up after 6:30 am.

Since the survey sample consists of 20 students, we can assume that the proportions observed in the sample are representative of the larger population of 500 students. To estimate the number of students who wake up after 6:30 am among the 500 students, we can use proportional reasoning.

We can calculate the proportion of students who woke up after 6:30 am in the sample and apply that proportion to the larger population.

The proportion of students who woke up after 6:30 am in the sample is 4/20 or 0.2.

To estimate the number of students who wake up after 6:30 am in the larger population of 500 students, we multiply the proportion by the total population size:

0.2 * 500 = 100

Based on this estimation, the best prediction would be that approximately 100 students wake up after 6:30 am among the 500 surveyed students.

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Answer:

Step-by-step explanation:

b^7. b^5 ⇒ b^12

Product Rule says that to multiply two exponents with the same base, you keep the base and add the powers.

b^7 + 5

b^12

-------------------------------------------------------------------------

14x^8/7x^4 ⇒ 2x^4

2 times 7 goes into 14.

Answer:

  D.  -3 must be a root

Step-by-step explanation:

You want to know what it means that dividing 2x² +9x +9 by x+3 leaves a remainder of zero.

The remainder theorem tells you that dividing f(x) = (2x² +9x +9) by (x +3) has a remainder equal to f(-3). When that remainder is zero, it tells you that ...

  f(-3) = 0   ⇒   -3 is a root of the polynomial (2x² +9x +9), choice D.

__

Additional comment

It also tells you that 2x+3 = 0 will give you the other root: x = -3/2.

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Answer:

sin is .6, Cos is .8 and tan is .75

Step-by-step explanation:

Ez

Answer:

Post them individually

Step-by-step explanation:

1. B

2. 4th option ,----> Megan's at 2.5 per week

Megan's plant:

slope = 7-4.5/2-1 = 2.5= growth rate

Suzanne's plant:

slope = 7-5/2-1= 2 = growth rage

3.D

4 2nd option , $2 for each song

Rate of change = 6-4/3-2 = 2

Answer: y=-4x-31

Step-by-step explanation:

To find a ling that is parallel to the given line and passes through the given point, we need to use the given point. We know that the slope MUST stay the same because parallel lines NEVER touch. All we have to do is plug in the point and find the y-intercept.

-7=-4(-6)+b            [multiply]

-7=24+b                 [subtract both sides by 24]

b=-31

Now, we know that y=-4x-31 is the equation.

Answer:

Step-by-step explanation:

The surface area of the sides of the cylinder is A = 2πrh, where r is the radius and h is the height.  

Here this comes out to A = 2π(4)(7) = 56 π units^2

If you also want the combined area of the two ends (top and bottom of the cylinder), here's the calculation:

A = 2πr² = 2π(4 units)² = 32π units²

Answer:

its 88 pi

Step-by-step explanation:

i did it on khan

Answer:3,600

Step-by-step explanation:

Find the Prime factorization of 400: 2x2x2x2x5x5

Find the Prime factorization of 900: 2x2x3x3x5x5

Multiply each factor the greater number of times it occurs: 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5= 3,600

I believe that you would need to sell 65 shirts

Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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Given :

R is the midpoint of QS

QR = 6x - 9

RS = 2x - 1

We need to find QS

So, as R is the midpoint

Solve the equation to find x :

Substitute with x to find QR and QS

Answer:

Volume of paint required is 3.125 litres.

Step-by-step explanation:

It would be noted that each side walls would have the shape of a trapezium. So that the areas of each wall can be determined as:

wall 1 = \(\frac{1}{2}\)(a + b) h

         =  \(\frac{1}{2}\)(0.5 + 1.5)2

        = 2 \(m^{2}\)

wall 2 = \(\frac{1}{2}\)(a + b) h

          = \(\frac{1}{2}\)(1 + 3)2

          = 4 \(m^{2}\)

wall 3 = \(\frac{1}{2}\)(a + b) h

         =  \(\frac{1}{2}\)(0.5 + 1.5)2

        = 2 \(m^{2}\)

wall 4 = \(\frac{1}{2}\)(a + b) h

          = \(\frac{1}{2}\)(1 + 3)2

          = 4 \(m^{2}\)

Total area of the walls = 2 + 2 + 4 + 4

                            = 12 \(m^{2}\)

Area of the bottom base = l x b

                          = 1 x 0.5

                          = 0.5 \(m^{2}\)

Total area to be painted = 12 + 0.5

                           = 12.5 \(m^{2}\)

But to paint one square meter of a gap surface, we need 0.25 litres of a green paint color. Thus, to paint 12.5 \(m^{2}\) of the gap surface:

12.5 x 0.25 = 3.125

The litres of paint required is 3.125.

Fraction = 23/100

Decimal = .23

Percent = 23%

Hope this helps!

Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10

Answer:

A.

B. (if the black block represents a multiplication sign)

D.

Step-by-step explanation:

We have the expression "Nine more than the product of 5 times the number of tires t". Let's focus on nine more to cross out some answers, "nine more than the" indicates that there must be a certain operation to happen first before 9 is added onto it. So cross out the answers that do not have this property. C and E.

Leaving us with the only last three answers that represent it. (If B. is a multiplication sign)

Answer:

7

Step-by-step explanation:

Answer:

a = 2

Step-by-step explanation:

ax² + 5x + 2 = 0

a ( - 2 )² +5 ( - 2 ) + 2 = 0

4a = 8

a = 2

Answer:

B. Corresponding Angles

Step-by-step explanation:

If it's asking for just one answer, this is the right answer.

Answer:

1. 6 words per minute

2. Michaela

3. Robert, Laura, Michaela

Step-by-step explanation:

The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.

A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.

To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).

The expression for (f - g)(x) can be found by subtracting g(x) from f(x):

(f - g)(x) = f(x) - g(x)

Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:

(f - g)(x) = f(x) - g(x)

= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]

= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]

= 4x - 6 [Combine like terms]

Therefore, (f - g)(x) = 4x - 6.

Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.

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The value of Ax is approximately 69.9 km/h and the value of Ay is approximately 49.3 km/h.

To find the values of Ax and Ay, we can use trigonometry. The given information tells us that the magnitude of the vector resulting from the combination of Ax and Ay is 86 km/h, and the angle between this vector and Ax is 35 degrees.

We can use the cosine and sine functions to determine the components Ax and Ay:

Ax = 86 km/h * cos(35°)

Ay = 86 km/h * sin(35°)

Using a calculator, we can evaluate these expressions:

Ax ≈ 69.9 km/h (rounded to the nearest tenth)

Ay ≈ 49.3 km/h (rounded to the nearest tenth)

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Answer:

brooooooooooo I got x=0

The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

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Answer:

d= t x 5

Step-by-step explanation:

The required solution would be t = 4 hours and 10 minutes when there are no miles between the bus and the bus station, or when the bus has arrived at the station.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

A bus is driving at 60 miles per hour toward a bus station that is 250 miles away.

The given function d = 250 - 60t

Which represents the distance d from the bus station the bus is t hours after it has started driving

If d = 250 - 60t, then zero would be:

⇒ 250 - 60t = 0

⇒ 250 = 60t

⇒ t = 4.167 hours, or

⇒ t = 4 hours and 10 minutes.

In this context, this means that there are no miles between the bus and the bus station, or when the bus has arrived at the station.

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Answer:

Thus, a product that normally costs $55 with a 40 percent discount will cost you $33.00, and you saved $22.00. You can also calculate how much you save by simply moving the period in 40.00 percent two spaces to the left, and then multiply the result by $55 as follows: $55 x . 40 = $22.00 savings.

Step-by-step explanation:

To construct a 4x2 matrix D such that AD=I2, we can use the following matrix: D = [0 0 1 0; 0 0 0 1]. It is not possible for CA to be equal to 4 or 14 for any 4x2 matrix C.

Constructing a matrix D such that AD=I2

Let A = -1 be a 1x1 matrix. We want to construct a 4x2 matrix D such that their product AD is equal to the 2x2 identity matrix I2. We can use the following matrix for D:

D = [0 0 1 0; 0 0 0 1; 1 0 0 0; 0 1 0 0]

To verify that AD=I2, we can compute the matrix product:

AD = [-1 0 0 0; 0 -1 0 0] [0 0 1 0; 0 0 0 1; 1 0 0 0; 0 1 0 0]

= [0 0 -1 0; 0 0 0 -1]

= -I2

Note that D only uses 1 and 0 as entries.

Now, it is not possible for CA to be equal to 4 or 14 for any 4x2 matrix C. To see why, we can use the definition of matrix multiplication. Let C be a general 4x2 matrix:

C = [c11 c12; c21 c22; c31 c32; c41 c42]

Then, we can compute CA as:

CA = [-1 0; 0 -1] [c11 c12; c21 c22; c31 c32; c41 c42]

= [-c11 -c12; -c21 -c22; -c31 -c32; -c41 -c42]

Since CA is a 4x2 matrix and 4 is a scalar, it is not possible for CA to be equal to 4. Similarly, since the entries of C are only 0 or 1, it is not possible for CA to be equal to 14.

Therefore, there is no matrix C that satisfies the equations CA=4 or CA=14.

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