15. Find the perimeter of the triangle.
2х + 1
3x
X

The company's WACC is 9.95%. This implies that the company must generate a return of at least 9.95% on its investments to cover its cost of capital.

WACC (Weighted Average Cost of Capital) is a measurement used to determine a company's cost of capital. It is calculated as a weighted average of the costs of equity and debt, considering the company's capital structure. The formula for WACC is:

WACC = (E / V x Re) + [(D / V x Rd) x (1 - T)]

Where:

E = Market value of the company's equity

D = Market value of the company's debt

V = Total value of the company (equity + debt)

Re = Cost of equity

Rd = Pretax cost of debt

T = Tax rate

Given the following values:

Debt-equity ratio = 0.55

Cost of equity (Re) = 15.4%

Pretax cost of debt (Rd) = 7.8%

Tax rate = 32%

We can calculate the after-tax cost of debt, Rd, by multiplying the pretax cost of debt with (1 - tax rate). Thus,

Rd = 7.8% x (1 - 32%) = 5.292%

Now, we can substitute the values into the WACC formula:

WACC = [(E / V x Re) + (D / V x Rd) x (1 - T)]

WACC = [(1 / 1.55 x 15.4%) + (0.55 / 1.55 x 5.292%) x (1 - 32%)]

WACC = 9.95%

Therefore, the company's WACC is 9.95%. This implies that the company must generate a return of at least 9.95% on its investments to cover its cost of capital.

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Answer: At midnight It will be -10 degrees

Step-by-step explanation:

For the inference in part b to be valid, the conditions required are reasonable satisfaction.

To determine if the conditions for the inference in part b are reasonably satisfied, we need to consider the specific details of the inference.

However, in general, the conditions for a valid inference typically include logical reasoning, accurate data, reliable sources, and relevant contextual information.

These conditions ensure that the conclusion drawn from the inference is supported by evidence and does not contain logical fallacies or biases. It is important to evaluate the quality and reliability of the information used in the inference to determine if the conditions are reasonably satisfied.

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The center of mass (x¯,y¯,z¯) of the homogeneous solid block is located at the geometric center of the block, which is (L/2, W/2, H/2).

To determine the center of mass (x¯,y¯,z¯) of a homogeneous solid block, we need to use the formula:

x¯ = (1/M) ∫∫∫ xρ(x,y,z) dV
y¯ = (1/M) ∫∫∫ yρ(x,y,z) dV
z¯ = (1/M) ∫∫∫ zρ(x,y,z) dV

where M is the mass of the block, ρ(x,y,z) is the density of the block at point (x,y,z), and dV is the volume element at point (x,y,z).

Since the solid block is homogeneous, the density is constant throughout the block, and we can simplify the above formula as:

x¯ = (1/M) ∫∫∫ x dV
y¯ = (1/M) ∫∫∫ y dV
z¯ = (1/M) ∫∫∫ z dV

We can further simplify this formula by using the fact that the solid block is a rectangular parallelepiped, and its volume is given by:

V = L x W x H

where L is the length, W is the width, and H is the height of the block.

Therefore, the mass of the block is given by:

M = ρ V = ρ LWH

Using these values, we can calculate the center of mass as:

x¯ = (1/M) ∫∫∫ x dV = (1/ρLWH) ∫∫∫ x dV = L/2
y¯ = (1/M) ∫∫∫ y dV = (1/ρLWH) ∫∫∫ y dV = W/2
z¯ = (1/M) ∫∫∫ z dV = (1/ρLWH) ∫∫∫ z dV = H/2

Therefore, the center of mass (x¯,y¯,z¯) of the homogeneous solid block is located at the geometric center of the block, which is (L/2, W/2, H/2).

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Step-by-step explanation:

diameter is 84 thereare 2 time 42 .84.

follow me nice study bye .

A spurious correlation is a correlation between two variables that appears to be causally linked but is actually due to the influence of a third variable that is not considered. The correct answer is  spurious correlation.

Spurious correlations are correlations that exist between two variables, but they are not actually causally related to one another, despite the fact that they appear to be causally related at first glance. The relationship between two variables may be accounted for by a third variable that was previously overlooked or not considered, causing the original correlation to be explained away. Spurious correlations are commonly found in science and research, and they can lead to misleading results if not properly identified and accounted for. It is critical to account for all potential confounding variables in order to establish causal links between variables and avoid spurious correlations. Therefore, researchers must carefully consider all variables that might influence the relationship between two variables to avoid drawing inaccurate conclusions.

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Answer:

This answer is based on that I don't know what that 2 is for

Step-by-step explanation:

There are many different answers for this question

Area is l times w so 4 times 4 = 16 the lengths could be 4

If one of the sides is 2 then the length must be 8 because 8 times 2 is 16

Answer:

t= 11.9

Step-by-step explanation:

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

A=390\hspace{35px}P=290\hspace{35px}r=0.025

A=390P=290r=0.025

Given values

390=

390=

\,\,290e^{0.025t}

290e  

0.025t

Plug in

\frac{390}{290}=

290

390

​  

=

\,\,\frac{290e^{0.025t}}{290}

290

290e  

0.025t

​  

Divide by 290

1.3448276=

1.3448276=

\,\,e^{0.025t}

e  

0.025t

\ln\left(1.3448276\right)=

ln(1.3448276)=

\,\,\ln\left(e^{0.025t}\right)

ln(e  

0.025t

)

Take the natural log of both sides

\ln\left(1.3448276\right)=

ln(1.3448276)=

\,\,0.025t

0.025t

ln cancels the e

\frac{\ln\left(1.3448276\right)}{0.025}=

0.025

ln(1.3448276)

​  

=

\,\,\frac{0.025t}{0.025}

0.025

0.025t

​  

Divide by 0.025

11.8506326=

11.8506326=

\,\,t

t

t\approx

t≈

\,\,11.9

11.9

Round to the nearest tenth of a year

To prove DC = 6 units the missing step is ΔDAC ≅ ΔBCA by ASA.

Option C is the correct answer.

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

AD is parallel to BC

From the figure and the given information,

We have,

∠DAC ≅ ∠BCA

This means,

Angle-Side-Angle (ASA) Congruence

ΔDAC ≅ ΔBCA

Thus,

To prove DC = 6 units the missing step is ΔDAC ≅ ΔBCA by ASA.

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Answer:

x^16

Step-by-step explanation:

=> x^20 / x^4

=> x ^ 20-4

=> x^16

Please mark my answer as the brainliest for further answers :)

The network of equilateral triangles, squares, and hexagons is used in just three regular tessellations.

What does tessellation of a form mean?

Only regular triangles, squares, and hexagons can tessellate on their own.

If you use more than one sort of form, you can create additional tessellations of regular shapes.

The network of equilateral triangles, squares, and hexagons is used in just three regular tessellations.

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Answer:

for B : he spend 30 minutes jogging and 45 minutes riding his bike

Step-by-step explanation:

75-15=60

60/2=30

jogging (x) =30

30+15=45

riding bike (y) =45

hopefully that help with B

Jack jogs for 30 minutes and he rides his bike for 45 minutes

Let x represent the number of minutes jogged and y represent the number of minutes that he ride his bike.

Jack jogs and rides his bike for a total of 75 minutes every day. hence:

x + y = 75   (1)

He rides his bike for 15 minutes longer than he jogs. hence:

y = x + 15

-x + y = 15    (2)

Solving equations 1 and 2 simultaneously gives:

x = 30, y = 45

Jack jogs for 30 minutes and he rides his bike for 45 minutes

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Answer:

sure you want to be a great day for me

Answer:

5.87× 10⁹

Step-by-step explanation:

We need to find the value of 6.27 × 10⁷ + 5.81 × 10⁹.

It can be done as follows:

6.27 × 10⁷ + 5.81 × 10⁹ = (6.27 × 10⁷ × 10² × 10⁻²+ 5.81 × 10⁹)

=(6.27 × 10⁹ × 10⁻²+ 5.81 × 10⁹)

= (0.0627× 10⁹ + 5.81 × 10⁹)

= 5.87× 10⁹

So, the required answer is 5.87× 10⁹.

Answer:

(2,-1)

Step-by-step explanation:

\(midpoint = ( \frac{ - 2 + 6}{2} , \frac{ - 4 + 2}{2} ) \\ \)

\(midpoint = ( \frac{4}{2} , \frac{ - 2}{2} ) \\ \)

\(midpoint = (2, - 1)\)

Based on the given parameters, the amount of the investment after 4 years is $1030

The given parameters about the compound interest are

Principal Amount, P = $1000

Interest Rate, R = 0.85%

Time, t = 4

Number of times, n = 1 i.e. annually

Compound interests are different from simple interest, and they are calculated using the following compound interest formula

CI = P(1 + R/n)^nt - P

To calculate the amount, we have:

A = P + CI

So, the equation becomes

A = P + P(1 + R/n)^nt - P

Evaluate the like terms

A = P(1 + R/n)^nt

Substitute the known values in the above equation

A = 1000 * (1 + 0.85%/1)^(1 * 4)

Express 0.85% as decimal

A = 1000 * (1 + 0.0085/1)^(1 * 4)

Evaluate the sum

A = 1000 * (1.0085/1)^(1 * 4)

Evaluate the exponent

A = 1000 * 1.03

Evaluate the product

A = 1030

Hence, the value of the investment is $1030

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The converted integral is:
∬[0 to 1][0 to π/3] r*sin(θ) sin(r*cos(θ) + r*sin(θ)) dr dθ

To rewrite the integral using polar coordinates, we'll first define the given region D and then convert the integral.

The region D is bounded by the following curves:
1. Circle: r^2 + y^2 = 1 (x = r*cos(θ), y = r*sin(θ))
2. Circle: x^2 + y = 4 (x = r*cos(θ), y = r*sin(θ))
3. Line: y = 0 (θ = 0)
4. Line: x = √3y (θ = π/3)

Now, let's convert the integral:
∬D sin(x + y) dA = ∬(r*sin(θ)) sin(r*cos(θ) + r*sin(θ)) dr dθ

To determine the limits of integration, we analyze the given region:
- The angle θ varies from 0 to π/3.
- The radial coordinate r varies from the intersection of the two circles to the first circle.

By solving the two circle equations simultaneously, we find the intersection point is (1/2, √3/2). Thus, the radial limit for r is from 0 to 1.

The converted integral is:
∬[0 to 1][0 to π/3] r*sin(θ) sin(r*cos(θ) + r*sin(θ)) dr dθ

Now, you can proceed with the evaluation of the integral using standard techniques.

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Answer:

m∠5 + m∠6 =180°

m∠2 + m∠3 = m∠6

m∠2 + m∠3 + m∠5 = 180°

Step-by-step explanation:

m∠5 + m∠6 are linear pairs, so their sum has to be 180°.

m∠2 + m∠3 = m∠6 because of the exterior angle theorem, which states that the measure of an exterior angle is equal to the sum of the two opposite interior angles. (using this logic, m∠1 equals the sum of m∠5 and m∠3, and m∠4 equals the sum of m∠2 and m∠2).

m∠2 + m∠3 + m∠5 = 180° because the triangle sum property says that the sum of a triangle's interior angles will equal 180°.

Answer:

28.235

Step-by-step explanation:

10/34 = x/96

960= 34x

960/34= x

x= 28.235

Answer:

it’s A

Step-by-step explanation:

youre supposed to find the total earnings. to do that, you need to multiply 9.25 by the hours.

Answer:

your answer is A

Step-by-step explanation:

d is the total

h is the hours

9.25 is the money

So your need to multiply hours with money

The largest integer that is a divisor of (n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  for all positive even integers is 15

The correct answer is an option (d)

In this question, we need to find the largest integer that is a divisor of (n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  for all positive even integers n.

We can observe that (n + 1), (n + 3), (n + 5), (n + 7) and (n + 9)  are 5 consecutive odd integers

In every 5 consecutive odd positive integers, one of them is always divisible by 3 and one of them is always divisible by 5.

This means, (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will be divisible by both 3 and 5

i.e., (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will also divisible by 15 (3 * 5 = 15)

Therefore, the largest integer that is a divisior of (n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  = 15

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Answer:

uiuiuiui86767

Step-by-step explanation:

your answer is e330408384

Answer:

Rs 2

Step-by-step explanation:

5 pen =Rs 10

1 pen = 10÷2

=Rs 2

Answer:

It will cost $42 for 28 binders

Step-by-step explanation:

We know that 15 binders = 22.50 dollars . We need to find the cost of 18, 30, 28, and 48 binders to figure out if they match up with the statements. One way to do this is to find the cost for one binder, and then multiply that by the number of binders to find the cost for a certain number of binders. For example, if one binder costs 2 dollars, five binders would cost 2 * 5 = 10 dollars.

To figure out how much one binder costs, we can use the division property of equality to divide both sides of our equation (15 binders = 22.50 dollars) by 15. We divide by 15 because anything divided by itself is equal to 1, and that would make it 1 binder = something dollars.

Applying this, we get

(15 binders)/15 = (22.5 dollars)/15

1 binder = 1.5 dollars

For 18 binders, this would cost 1.5 * 18 = 27 dollars. We know this because we add 1.5 dollars for each binder.

For 30 binders, this would cost 30*15=45 dollars

For 28 binders, this would cost 1.5 * 28 = 42 dollars

For 48 binders, this would cost 1.5*48 = 72 dollars

The only one that matches up is 28 binders for 42 dollars

Answer:

$42 for 28 binders.

Step-by-step explanation:

B

a) To test whether the population variances of cotton and polyester fibers are equal, we can use the F-test with a significance level of 0.05. The F-test compares the ratio of the sample variances and checks if it falls within the critical region.

b) If the result from part (a) indicates equal variances, we can proceed to test the difference in population means. This can be done using a two-sample t-test with a significance level of 0.05. The t-test compares the difference in sample means to the expected difference under the null hypothesis.

c) To determine the required sample size for each group to detect a difference of 3.0 in absorbency with a power of at least 0.90, we can perform a power analysis. This analysis considers the desired effect size, significance level, and desired power to estimate the necessary sample size.

d) To construct a 99% confidence interval for the difference in mean percent absorbencies, we can calculate the interval using the formula for the difference of two means, considering the sample means, standard deviations, and sample sizes of the two groups.

e) Increasing the significance level widens the confidence interval. A higher significance level allows for a greater probability of including the true difference within the interval, but it also increases the likelihood of capturing values that may not be practically significant.

f) Increasing the number of observations for both samples to 75 would not impact the appropriateness of the test in part (a) because the assumptions for the F-test, such as normality and equal variances, are still valid. Increasing the sample size provides more precise estimates and can improve the power of the test to detect smaller differences.

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The minimum cost to meet the minimum requirements is $1280.

To determine the minimum cost, we need to calculate the number of platters required to meet the minimum requirements for each item (hamburgers, hot dogs, and chicken wings) and then multiply it by the cost of each platter.

Let's calculate the number of platters required for each item:

For hamburgers:

80 hamburgers / 1 burger per platter = 80 platters

For hot dogs:

95 hot dogs / 1 hot dog per platter = 95 platters

For chicken wings:

380 chicken wings / 5 chicken wings per platter = 76 platters

Now, let's calculate the cost:

For Platter A:

80 platters * $16 per platter = $1280

For Platter B:

95 platters * $20 per platter = $1900

The minimum cost would be the lower of the two costs, which is $1280. Therefore, the minimum cost to meet the minimum requirements is $1280.

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Complete Question:

The Very Possible Foods Company makes vegan versions of hamburgers, hot dogs, and chicken wings, and they offer two platters. Platter A consists of 1 burger, 3 hot dogs, and 5 chicken wings, which costs $16. Platter B consists of 2 burgers, 1 hot dog, and 8 chicken wings, which costs $20.

A barbecue organizer requires 80 hamburgers, 95 hot dogs, and 380 chicken wings. (There can be leftovers, but these are the minimum requirements.) What is the minimum cost (in dollars)?

Answer:

\(\sqrt{\sqrt{2} }\)

Step-by-step explanation:

f(1)=3; f(1)=f(0)^2+1
f(0)=\(\sqrt{2}\)=f(3)^2+0; f(3)^2=sqrt*2; f(3)=sqrt*sqrt2

The trigonometry used to solve for x in the right triangle is

A. tangent

In mathematics, the tangent is a trigonometric function that relates the ratio of the length of the opposite side to the length of the adjacent side in a right triangle. It is commonly abbreviated as tan.

The tangent function is defined for all real numbers except for certain values where the adjacent side is zero, resulting in division by zero. It takes an angle (measured in radians or degrees) as its input and returns the ratio of the length of the opposite side to the length of the adjacent side.

In a right triangle, if one of the acute angles is θ, then the tangent of θ (tan θ) is defined as:

tan θ = opposite side / adjacent side

tan 53 = x / 15

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We can simplify \((16x^4)^(-1/2) to 1/(4x^2)\) using the properties of rational exponents.

Certainly! Here's an example:

Simplify the expression: \((16x^4)^(-1/2)\)

We can apply the property of rational exponents which states that \((a^m)^n = a^(m*n)\). Using this property, we get:

\((16x^4)^(-1/2) = 16^(-1/2) * (x^4)^(-1/2)\)

Next, we can simplify \(16^(-1/2)\) using the rule that \(a^(-n) = 1/a^n\):

\(16^(-1/2) = 1/16^(1/2) = 1/4\)

Similarly, we can simplify \((x^4)^(-1/2)\) using the rule that \((a^m)^n = a^(m*n)\):

\((x^4)^(-1/2) = x^(4*(-1/2)) = x^(-2)\)

Substituting these simplifications back into the original expression, we get:

\((16x^4)^(-1/2) = 1/4 * x^(-2) = 1/(4x^2)\)

Therefore, the simplified expression is \(1/(4x^2).\)

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