Cole plays a bass drum that has a radius of 4 inches. What is the drum’s circumference? Use 3.14 for π.

The pretax cost of debt is 5.43% and the aftertax cost of debt is 4.24%.

To calculate the pretax cost of debt, we need to find the current yield of the bond. The current yield is the annual coupon payment divided by the market price. In this case, the coupon rate is 5% and the market price is 92% of the face value. Therefore, the current yield is (0.05 * face value) / (0.92 * face value), which simplifies to 0.0543 or 5.43%.

To calculate the aftertax cost of debt, we need to multiply the pretax cost of debt by (1 - tax rate). In this case, the tax rate is 22%. Therefore, the aftertax cost of debt is 5.43% * (1 - 0.22), which simplifies to 4.24%.

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The sum of 13/20 and 0.72 when expressed in decimal form gives us the answer as; 1.37.

We want to find the sum of ¹³/₂₀ and 0.72

This is expressed as;

¹³/₂₀ + 0.72

Now, we want to express the fraction as a decimal. Thus, let us convert to decimal as; ¹³/₂₀ = 0.65

Thus, we now have the decimal expression;

0.65 + 0.72 = 1.37

Thus, we can conclude that the sum of 13/20 and 0.72 when expressed in decimal form gives us 1.37.

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The sum of 13 / 20 and 0.72 when expressed in decimal form gives us the answer as; 1.37.

To find the sum of 13 / 20 and 0.72, we can first convert 13/20 to a decimal by dividing 13 by 20.

This is expressed as;

13 / 20 + 0.72

Now, we want to express the fraction as a decimal. Thus, let us convert to decimal as; 13 / 20 = 0.65

Thus, we now have the decimal expression;

0.65 + 0.72 = 1.37

Thus, we can conclude that the sum of 13 / 20 and 0.72 when expressed in decimal form gives us 1.37.

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Answer:

A

Step-by-step explanation:

Essentially, if we plug in any of the given choices into the function and we get 0, then that's our answer.

A) (-3)^2 + 2 * (-3) - 3 = 9 - 6 - 3 = 0  -  correct

B) (-1)^2 + 2 * (-1) - 3 = 1 - 2 - 3 = -4  -  incorrect

C) 0^2 + 2 * 0 - 3 = -3  -  incorrect

D) 2^2 + 2 * 2 - 3 = 4 + 4 - 3 = 5  -  incorrect

So, the answer is A.

The alternative, more "formal" way of doing this problem is to factor the quadratic: x^2 + 2x - 3 = (x + 3)(x - 1) = 0

Then set each of these equal to 0: x + 3 = 0 and x - 1 = 0

We get the values of x = -3 and x = 1. Only -3 is one of the answer choices, so A is correct.

Hope this helps!

Answer:

a) -3

Step-by-step explanation:

Zero of a function is the x-value where y = 0

x² + 2x - 3 = 0

x² + 3x - x - 3 = 0

x(x + 3) - (x + 3) = 0

(x - 1)(x + 3) = 0

x = 1, -3

Answer:

19.8% is the percent error of the baker's prediction.

Step-by-step explanation:

We are given the following in the question:

Total number of cupcakes sold in 1 day = 101

Predicted number of cupcakes sold = 81

We have to find the percent error of the baker's prediction.

Percentage error =

[tex]=\dfrac{\text{Actual value - Predicted value}}{\text{Actual values}}\times 100\%[/tex]

Putting values, we get

[tex]=\dfrac{101-81}{101}\times 100\%\\\\=19.8\%[/tex]

Thus, 19.8% is the percent error of the baker's prediction.

Answer:

x = -10.

Step-by-step explanation:

x / 10 = -1

To solve the equation we isolate the x on one side.

Whatever operation we do one one side of the equation we have to do the same on the other side so that the balance is maintained.

Here to isolate x we multiply both sides by 10:

x

--    * 10   =  -1 * 10

10

x = -10.

Hope this helps.

Answer:

-288

Step-by-step explanation:

-18*16

cause its going by 16's

pls mark me brainliest

a23 = -288

As the sequence is going by [tex]16[/tex].

∴ [tex]-18[/tex] × [tex]16=-288[/tex]

Therefore, [tex]a23=-288[/tex].

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h(t) = t+3

Find h(1)

h(1) = 1+3

h(1) = 4

The answer is 4.

Answer:

160 pages.

Step-by-step explanation:

75% = 120 pages so , by proportion, 100% = 120 * 100/75

= 120 * 4/3

= 40 * 4

= 160 pages.

Answer:

160 pages

Step-by-step explanation:

75% of x = 120

Turn 75% into a fraction or decimal

75/100 * x = 120

0.75 * x =120

0.75 is multiplying with x so to get rid of 0.75, we have to multiply both sodes by 0.75

x = 120/0.75

x = 160

So there are a total of 160 pages in the book.

The rental's total charge that includes insurance, represented by T(m), is the sum of the standard charge function C(m) and the insurance charge I, as in the equation T(m) = C(m) + I.

The question provided is incomplete as the functions for the standard charge and the insurance charge are not specified. However, assuming the functions are given by C(m) for the standard charge, where m is the number of miles driven, and I for the insurance charge, the total charge would be represented by the function T(m). The equation that relates the total charge to both the standard charge and the insurance charge would therefore be T(m) = C(m) + I. Simplifying the equation does not apply in this case as the individual functions are not provided for further manipulation.

Though there are multiple solutions to the given equation, the two ordered pairs that are solutions would be both (1, 2) and (2, 4).

Hope this helps!

Answer:

D. A weakness can be turned to strength

Answer:

d

Step-by-step explanation:

Answer:

  1520.5 ft²

Step-by-step explanation:

A diagram can be helpful.

The total area is the sum of ...

  3/4 of a circle with radius 24 ft

  1/4 of a circle with radius 12 ft

  1/4 of a circle with radius 8 feet

__

The area of a whole circle is given by ...

  A = πr²

so our grazing area is ...

  A = (3/4)π(24 ft)² + (1/4)π(12 ft)² + (1/4)π(8 ft)²

  = π(432 ft² +36 ft² +16 ft²) = 484π ft²

  A ≈ 1520.5 ft²

Answer:

Parallelogram are quadrilaterals with opposite sides parallel, but adjacent sides not perpendicular. If the sides have equal lengths, then it is called a rhombus.

Step-by-step explanation:

Because the sides of the shape meet at angles which are not 90 degrees, so they cannot be perpendicular.

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

A shape can have parallel sides but not perpendicular sides if it is not a rectangle or a square. Examples of such shapes include parallelograms, trapezoids, and rhombuses. In these shapes, the sides are parallel to each other, but they are not perpendicular to each other.

Because the sides of the shape meet at angles which are not 90 degrees, so they cannot be perpendicular.

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Step-by-step explanation:

It means every cake needs 2 eggs and 1 cup of sugar

So first we will multiply 21 by 2 to get the number of eggs = 21 ×2 = 42

So answer is 21 cups and 42 eggs

Answer:

6.7%

Step-by-step explanation:

In this question, we are to calculate the percentage error in in the average polling results calculated.

Firstly, what this means is that we calculate the average of the total votes.

That would be ; (66 + 56 + 55 + 60 + 63)/5 =

300/5 = 60%

we now proceed to calculate the percentage error in the company’s result.

Mathematically;

percentage error = (Actual value - expected value)/expected value * 100%

Here the actual value is 64% and the expected is 60%

% error = (64-60)/60 * 100 = 4/60 * 100 = 6.67%

This is 6.7% to the nearest tenth of a percent

Answer:

No, we can't reject [tex]H_0[/tex] at the α = 0.01 level of significance.

Step-by-step explanation:

We are given the sample of five matched pairs below ;

Sample 1 (B) :    20, 20, 23, 18, 22

Sample 2 (A) :   23, 16, 15, 14, 18

Let [tex]\mu_1[/tex] = population mean for first sample

[tex]\mu_2[/tex] = population mean for second sample

SO, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_D[/tex] = 0    {means that there is no difference between the population means of both samples}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_D[/tex] > 0    {means that three is positive difference between the population means of both samples, i.e. population mean of first sample is higher than the population mean of second sample}

The test statistics that will be used here is Paired data test statistics;

                      T.S.  = [tex]\frac{\bar D-\mu_D}{\frac{s_D}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar D[/tex] = [tex]\bar B -\bar A[/tex] = 20.6 - 17.2 = 3.4

           [tex]s_D=\sqrt{\frac{\sum D_i^{2}-n \bar D^{2} }{n-1}}[/tex]  =  [tex]\sqrt{\frac{121-5 \times 3.4^{2} }{5-1}}[/tex] = 3.975

             n = sample size = 5

So, test statistics  =  [tex]\frac{3.4-0}{\frac{3.975}{\sqrt{5} } }[/tex]  ~ [tex]t_4[/tex]     

                               =  1.913

Now at 0.01 significance level, the t table gives critical value of 3.747 at 4 degree of freedom for right-tailed test. Since our test statistics is less than the critical value of t as 3.747 > 1.913, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the there is no difference between the population means of both samples.

Answer:

No, we can't reject  at the α = 0.01 level of significance.

Step-by-step explanation:

the other response is right

Answer:

If the pool is 2/3 filled and then the inlet pipe and drain pipe are opened, it will take 140 hours to fill the pool

Step-by-step explanation:

An inlet pipe can fill the pool in hours = 20

Inlet pipe 1 hour work = [tex]\frac{1}{20}[/tex]

A drain pipe can empty the pool in 21 hours

Drain pipe 1 hour work =[tex]\frac{1}{21}[/tex]

Inlet pipe and drain pipe 1 hour together work = [tex]\frac{1}{20}-\frac{1}{21}=\frac{1}{420}[/tex]

Now we are given that the pool is 2/3 filled

So, remaining portion to be filled =[tex]1 - \frac{2}{3} = \frac{1}{3}[/tex]

So, Inlet pipe and drain pipe fill [tex]\frac{1}{420}[/tex] in hours = 1

So, they can fill 1/3 in hours = [tex]\frac{1}{\frac{1}{420}} \times \frac{1}{3} =140 hours[/tex]

Hence If the pool is 2/3 filled and then the inlet pipe and drain pipe are opened, it will take 140 hours to fill the pool

Answer:

x = 100

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

x+ 42+ 38 = 180

Combine like terms

x + 80 = 180

Subtract 80 from each side

x+80-80 = 180-80

x = 100

Answer:

Easy!

Step-by-step explanation:

First, we have to know that:

The Sum of All Angles in a Triangle is 180 Degrees

(Self-explanatory, really)

This means that 42, 38, and x added together will equal 180 degrees, thus me set up our equation:

[tex]42+38+x=180\\x=100[/tex]

See? Simple.

Hope this helps!

FYI Remember that x= 100 Degrees

Answer:

the circumference decreases by a factor 1/3.

Step-by-step explanation:

Answer:

A: The circumference decreases by a factor of One-third

Step-by-step explanation:

1/3 πr²h

Given

diameter (d) = 8ft

radius (r) = d/2 = 8/2 = 4 ft

height (h) = 3 ft

Volume of cone

[tex] \frac{1}{3} \times \pi {r}^{2} h[/tex]

[tex] \frac{1}{3} \times 3.14 \times {4}^{2} \times 3[/tex]

[tex] \frac{150.72}{3} [/tex]

=50.24 ft³

The cone formula is V=1/3(pi*r^2)h, plug in what you know 150pi=1/3(pi*r^2)8.

Multiply both sides by 3: 450pi=(pi*r^2)8

Divide by 8: 56.25pi=pi*r^2

Divide by pi: 56.25=r^2

Square root both sides: 7.5=r

Multiply by 2 to find diameter: d=15

Answer:

V = integral of [ 0.116e^(-2.3r) * 2πr (10^3) ] dr with upper limit of 5 and lower limit of 0. Unit in m^3.

Step-by-step explanation:

H(r) = 0.116e^(-2.3r)

H(r) = millimeters

r = kilometers

We'll use Riemann's sum to approximate the total area underneath the region of the integral.

Using Riemann's sum, we break the region into rings of radius r and width ∆r.

Area of rings = πr^2

Area of the rings with radius r and width ∆r, then becomes=

π(r+ ∆r)^2 - πr^2

On expanding:

Area = π[ r^2 + 2r∆r + (∆r)^2] - πr^2

= πr^2 + 2πr∆r + π(∆r)^2 - πr^2

= 2πr∆r + π(∆r)^2

Area = ∆r(2πr + π∆r)

Area/∆r = 2πr + π∆r

At lim ∆r tends to zero

Area/∆r = 2πr + 0 = 2πr

Area = 2πr∆r

Volume = Area * depth

= Area * H(r)

∆V approximately equal to:

2πr∆r * H(r)

Sum of the contribution for all the rings for the volume (total volume):

V approximately sum of [H(r) *2πr∆r]

V ≈ ∑H(r)· 2πr∆r.

Taking the limit as ∆r tends to zero,

V = integral of [ 0.116e^(-2.3r) * 2πr ] dr with upper limit of 5 and lower limit of 0.

The term H(r) and Area are not in the same unit. We would convert both to meters.

H(r) = mm = 10^(-3)m

Area = km^2 = km*km

= (10^3)m * (10^3)m = (10^6)m^2

V = integral of [(10^-3m) *  0.116e^(-2.3r) *2πr (10^6m^2) dr] with upper limit of 5 and lower limit of 0.

V = integral of [ 0.116e^(-2.3r) * 2πr (10^3) dr ] with upper limit of 5 and lower limit of 0. Unit in m^3.

Answer:

The maximum is P=112.4 at (23.4,7)

Step-by-step explanation:

From the graph, the coordinates of the vertices of the feasible region are:

(0,25)

(9,7)

(23.4, 7)

(15,17.5)

Substituting these values in the objective function, P.

At (0,25), P = 6x − 4y=6(0)-4(25)=-100

At (9,7), P = 6x − 4y=6(9)-4(7)=26

At (23.4,7), P = 6x − 4y=6(23.4)-4(7)=112.4

At (15,17.5), P = 6x − 4y=6(15)-4(17.5)=20

Since the objective is to maximize,

The maximum is P=112.4 at (23.4,7)

To solve the linear programming problem, graph the inequalities to find the feasible region, then compute the function P = 6x − 4y at each corner point of the feasible region to find the maximum value. The values of x and y must also uphold all the inequalities.

The subject of the problem is a linear programming problem, and to solve it, we first identify the feasible region by graphing inequalities. This involves graphing x + 2y ≤ 50, 5x + 4y ≤ 145, 2x + y ≥ 25, y ≥ 7, and x ≥ 0. The feasible region would be formed by the area enclosed within those lines.

Next, we find the corner points of the feasible region because, in a linear programming problem, the maximum and minimum always occur at the vertices or corner points. Let's calculate these corner points.

Finally, we evaluate the function P = 6x − 4y at each corner point and find the value of P that would be maximized. It's crucial to remember that the values of x and y must satisfy all the given inequalities.

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The equation is [tex]-\frac{1}{2} x+3[/tex]

This is what you should input in the chart:

(0,3)

(3,2)

(6,1)

(9,0)

(12,-1)

(15,-2)

Answer:

Step-by-step explanation:

Step 1: List the known quantities and plan the problem.

Known

have 1 Banana (B)

4 Strawberries (St)

1 Yoghurt (Y)

3 Ice cubes (Ic)

Therefore, the equation for our smoothie is shown below:

B+4St+Y+3Ic→BSt4YIc3

Step 2: Conversion factor to show relationship between ice cubes and smoothie

3Ic = BSt4YIc3 (conversion factor)

Step 3: Number of strawberries required to make 12 smoothies

4St = BSt4YIc3 (conversion factor)

12BSt4YIc3 * (4St/BSt4YIc3) = 48St

Answer:

A ;w ;

Step-by-step explanation:

Did the assignment

Answer:

Probability that at least 40 students have purchased textbooks from an off-campus vendor at least once during their college career is 0.0688.

Step-by-step explanation:

We are given that a survey of students at a large university found that 82% had purchased textbooks from an off-campus vendor at least once during their college career.

Also, 45 students are randomly sampled.

Let [tex]\hat p[/tex] = sample proportion of students who have purchased textbooks from an off-campus vendor at least once during their college career.

The z-score probability distribution for sample proportion is given by;

                               Z = [tex]\frac{\hat p- p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion = [tex]\frac{40}{45}[/tex] = 0.89

p = population proportion of students who had purchased textbooks from an off-campus vendor at least once during their college career = 82%

n = sample of students = 45

Now, probability that at least 40 students have purchased textbooks from an off-campus vendor at least once during their college career is given by = P( [tex]\hat p[/tex] [tex]\geq[/tex] 0.89)

      P( [tex]\hat p[/tex] [tex]\geq[/tex] 0.89) = P( [tex]\frac{\hat p- p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] [tex]\geq[/tex] [tex]\frac{0.89-0.82}{\sqrt{\frac{0.89(1-0.89)}{45} } }[/tex] ) = P(Z [tex]\geq[/tex] 1.50) = 1 - P(Z < 1.50)

                                                                      = 1 - 0.9332 = 0.0688

The above probability is calculate by looking at the value of x = 1.50 in the z table which ha an area of 0.9332.

Therefore, the required probability is 0.0688.

Answer:

g(2) = -3

Step-by-step explanation:

g(n) = n - 5;

Let n=2

g(2) = 2-5

      = -3

Answer:

g(2)= -3

Step-by-step explanation:

We want to find what g is, when n is 2, so we can substitute 2 in for n.

g(n)=n-5

g(2)=2-5

g(2)= -3

Answer:

(B)This is a perfect cube.

(D)The side length is 4.

(E)Taking the cube root of the volume will determine the side length.

Step-by-step explanation:

Given a cube with a volume of 64 cubic centimeters.

The following conclusions can be reached:

(B)This is a perfect cube.

64=4 X 4 X4

(D)The side length is 4.

Volume of a Cube =[tex]s^3[/tex]

4 X 4 X4 =64 cubic centimeters.

(E)Taking the cube root of the volume will determine the side length.

[tex]\sqrt[3]{64}=4 cm[/tex]

These are not valid conclusions.

(A)The expression [tex]s^2[/tex], where s represents the side length, was used to solve for the volume.

(C)The side length is 8.

Answers on edugenuity

B

D

E

Answer:

After 12 days

Step-by-step explanation:

4×3

Answer:

5/16 yd[tex]^{2}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

72 + 58 + 2x + 3x = 360

5x = 230

x = 46