Will mark as brainliest if correct

Answer:

$36

Step-by-step explanation:

$48 for 2 adults

Divide 48 by 2

24

So, $24 for 1 adult

$48 for 4 children

Divide 48 by 4

12

So $12 for 1 Child

Now add $24 and $12

$36

Answer:

72 cm^3

Step-by-step explanation:

The volume of a rectangular prism is the length x width x height, so

6*3*4=72

To calculate the debt-equity ratio, we need to divide the total debt by the owners' equity.

The equation for the debt-equity ratio is:

Debt-equity ratio = Total debt / Owners' equity

Given the balance sheet information for 2013 and 2014:

2013:

Total debt = Long-term debt = $271,700

Owners' equity = Common stock and paid-in surplus + Accumulated retained earnings = $200,000 + $132,481 = $332,481

Debt-equity ratio (2013) = $271,700 / $332,481

2014:

Total debt = Long-term debt = $285,300

Owners' equity = Common stock and paid-in surplus + Accumulated retained earnings = $200,000 + $171,358 = $371,358

Debt-equity ratio (2014) = $285,300 / $371,358

Equity Multiplier:

The equity multiplier is a measure of how much of a company's assets are financed through debt. It is calculated by dividing total assets by owners' equity. The equation for the equity multiplier is:

Equity multiplier = Total assets / Owners' equity

2013:

Total assets = $917,617

Owners' equity = $332,481

Equity multiplier (2013) = $917,617 / $332,481

2014:

Total assets = $983,646

Owners' equity = $371,358

Equity multiplier (2014) = $983,646 / $371,358

Total Debt Ratio:

The total debt ratio is a measure of the proportion of a company's assets that are financed through debt. It is calculated by dividing total debt by total assets. The equation for the total debt ratio is:

Total debt ratio = Total debt / Total assets

2013:

Total debt = Long-term debt = $271,700

Total assets = $917,617

Total debt ratio (2013) = $271,700 / $917,617

2014:

Total debt = Long-term debt = $285,300

Total assets = $983,646

Total debt ratio (2014) = $285,300 / $983,646

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Answer:

no

Step-by-step explanation:

Answer:

(The multiply and the x are the same, so I’m just letting you know that the first x is the letter x and the second is the multiply sign.)

x x 3 + 4 (equation)

x = 6 (solution)

Step-by-step explanation:

6 x 3 + 4

22 - 4 = 18 (which takes out the four, which means what number times 3 would get 18)

6 x 3 = 18

6 x 3 + 4 = 22

the drop-down boxes to complete the steps of the proof =

1. Tangent Half-angle identity

2. 1 + cos x

3. 1 - cos x

In mathematics, trigonometric functions are real functions that relate the angles of a right triangle to the ratio of the lengths of its two sides. They are widely used in all geometry-related sciences such as navigation, solid mechanics, celestial mechanics, and geodesy.

Trigonometric periodic functions repeat at predictable intervals, but are not a direct result of trigonometric functions. It can be used to accurately predict values ​​outside the original range. Common non-trigonometric functions include: Four corners. triangle.

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The question is incomplete. Please read below to find the missing content.

This proof shows the first five steps for verifying cot^2 (x/2)= cos x+1/cos c-1 use the drop-down boxes to complete the steps of the proof

Answer:

c

Step-by-step explanation:

Answer:

16^2 = 8^2 + x^2

x^2 = 16^2  -8^2

x^2 = 256 -64

x^2 = 192

x = sq root (192) =  13.8564064606

Step-by-step explanation:

i don't know if this is right, if it is wrong i'm sorry, but basically it is 12.7m

Answer:

SSS Postulate

Step-by-step explanation:

AB=CD (Given)

AC=BD (Given)

BC=BC (Given)

So SSS Postulate

Side Side Side postulate

Both triangles are congruent by ''SSS Postulates.''

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

AB = DC, AC = DB

And, To prove that, ΔABC ≅ ΔDCB

Since, We have;

AB = DC,

AC = DB

And, BC = BC (common sides)

Hence, Both triangles are congruent by ''SSS Postulates.''

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Answer:

  428 4/7 ≈ 428.6

Step-by-step explanation:

You want to find a number such that ...

  70% × number = 300

The solution is found by dividing by the coefficient of the number:

  number = 300/0.70 = 428 4/7

70% of 428 4/7 gives me 300.

The statement "Var(aX+b) = \(a^{2}\)Var(X)" has been proved by using the definition of variance.

The variance of a random variable X measures the spread or variability of its values. Using the definition of variance, we can prove that the variance of aX+b, where a and b are constants, is equal to \(a^{2}\) times the variance of X."

To prove the statement, let's start by calculating the variance of aX+b. The variance of a random variable Y is defined as Var(Y) \(= E[(Y - E(Y))^{2}]\), where E(Y) is the expected value of Y.

Using this definition, we have Var(aX+b) \(= E[(aX+b - E(aX+b))^2]\).

Now, simplifying this expression. We know that E(aX+b) = aE(X) + b, as the expected value of a constant times a random variable is equal to the constant times the expected value of the random variable.

Expanding the squared term, we get Var(aX+b) \(= E[(aX+b - aE(X) - b)^{2}]\).

Simplifying further, we have Var(aX+b) = \(E[(a(X - E(X)))^2]\).

Notice that (X - E(X)) is equivalent to X - E(X), as a constant (a) can be factored out.

Now, applying the property of linearity of expectation, we have Var(aX+b) \(= E[a^{2}(X - E(X))^2]\).

Again, using the definition of variance, this can be written as

Var(aX+b) \(= a^{2}E[(X - E(X))^2] = a^{2}Var(X)\)

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Step-by-step explanation:

By replacing x with 4, we get

\(\\ \sf\bull\longmapsto h(x)=\dfrac{1}{4}x^4-3x^3\)

\(\\ \sf\bull\longmapsto h(4)\)

\(\\ \sf\bull\longmapsto \dfrac{1}{4}4^4-3(4)^3\)

\(\\ \sf\bull\longmapsto 4^3-3(64)\)

\(\\ \sf\bull\longmapsto 64-192\)

\(\\ \sf\bull\longmapsto -128\)

Answer: D. Two people with raised fists

Step-by-step explanation:

the word acrimonious means

1.

figuratively Angry, acid, and sharp in delivering argumentative replies bitter, mean-spirited, sharp in language or tone.

2.

archaic Harsh and sharp, or bitter and not pleasant to the taste; acrid, pungent.

The value of the given ratio for triangle ACE and BCD include the following:

1.)25/16

2.)10/7

3.) 1

4.) 14/19

5.) 4/5

6.) 4/1

7.) 16/5

8.) 29/45

In order to calculate the ratio, the value of the missing parts of the triangle should be calculated such as line BD, and CE, by the use of Pythagorean formula.

The Pythagorean formula = c² = a² + b²

For first triangle:

BC = a = 20

CD = b = 14

BD = c = ?

C² = 20²+14²

c² = 400+196

c² = 596

C = √596

C = 24 = BC

The ratio of the given sides of the triangle include the following:

1.) = AC = 20+5 = 25; CE = 25/16

2.) BC:CD = 20/14 = 10/7

3.) BD:AE = 24/24 = 1

4.) CD:CE = 14/19

5.) BC:AC = 20/25 = 4/5

6.) BC:AB = 20/5 = 4/1

7.) CD:DE = 16/5

8.) perimeter of BCD = 20+14+24 = 58; perimeter of ACE =25+24+21 = 70

The ratio of perimeter of BCD:ACE = 58/70 = 29/45

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Answer:

a/8 or a over 8 hope this helps

Step-by-step explanation:

Answer:

n

8

→

I used

n

as the unknown number

Explanation:

The quotient is the result of division between two numbers.

The quotient of a number (I used

n

) and

8

would be

n

8

The inverse of the given function, y = 16x² + 1 is: B. y = ±√(x - 1)/16

In Mathematics, an inverse function can be defined as a type of function that is obtained by reversing (undoing) the operation of a given function (f(x)).

Generally speaking, a given function (f(x)) and its inverse function has the following property f⁻¹(f(x)) = x.

In order to determine the inverse of the given function, we would interchange input value (x) and the output value (y) as follows:

y = 16x² + 1

x = 16y² + 1

Subtracting 1 from both sides, we have:

16y² + 1 - 1 = x - 1

16y² = x - 1

Dividing both sides by 16, we have:

y² = (x - 1)/16

Taking the square root of both sides, we have:

y = ±√(x - 1)/16

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Answer:

\(c=6\)

Step-by-step explanation:

\(\frac{18}{c}+2=5\\ \\\frac{18}{c}=3\\ \\18=3c\\\\6=c\)

Answer:

Step-by-step Solution:

Hence, the value of c is 6.

Answer:

AB

Step-by-step explanation:

The diameter has to pass  through the center of the circle and tough the outside of the circle on both ends

The diameters are

DE and AB

They can also be written as

ED and BA

Answer:

option A :  AB

Step-by-step explanation:

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Both AB and DE are diameters.

Therefore, Option A : AB

From the given box and whisker plot, it can be concluded that since all the percentiles for the varsity students are less than the other students, leading to faster reactions, the data suggests that Catherine and Ana's suspicion is correct.

A box and whisker plot shows three things:

For the reaction time of other students, we have that:

For varsity students, we have that:

Since all the percentiles for the varsity students are less than the other students, leading to faster reactions, the data suggests that Catherine and Ana's suspicion is correct.

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Answer:

l = 23-b

Step-by-step explanation:

Given that,

Area of a rectangular garden, A = 132 m²

The perimeter of a rectangle, P = 46 m

Let l and b are length and breadth respectively.

Area, A = lb

lb = 132 ...(1)

Permeter, P = 2(l+b)

2(l+b)=46

(l+b)=23

l=23-b ...(2)

Hence, equation (2) shows the expression representing the length in terms of its width.

Answer:

Step-by-step explanation:

Correct option is A)

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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The determinant of a 4x4 matrix is calculated using the Laplace Expansion method, which involves expanding the determinant along one row or column.

The formula for the determinant of a 4x4 matrix is:det(A) =\(a11 * a22 * a33 * a44 – a11 * a22 * a34 * a43 + a11 * a23 * a34 * a42 – a11 * a23 * a32 * a44 + a12 * a23 * a32 * a44 – a12 * a23 * a34 * a41 + a12 * a21 * a34 * a43 – a12 * a21 * a33 * a44 + a13 * a21 * a33 * a44 – a13 * a21 * a34 * a42 + a13 * a22 * a34 * a41 – a13 * a22 * a31 * a44 + a14 * a22 * a31 * a43 – a14 * a22 * a33 * a41 + a14 * a23 * a33 * a42 – a14 * a23 * a31 * a42\)To calculate the determinant of a 4x4 matrix, take the sum of the products of the elements in each row/column and its corresponding minor, then multiply each product by the sign of the term (+ or -). For example, if A is a 4x4 matrix, then the determinant is: det(A) =\(a11 * |A11| - a12 * |A12| + a13 * |A13| - a14 *\)|A14|.The minors A11, A12, A13 and A14 are the 3x3 matrices obtained by deleting the first row and first column from A. The values of the minors are calculated by applying the Laplace Expansion method to each minor.

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Answer:

74.42

Step-by-step explanation:

(150-86):86*100 =

(150:86-1)*100 =

174.41860465116-100 = 74.42

Margin of error = 1.96 * 0.038 = 0.0745 ≈ 0.075 (to 3 decimal places)

a) To calculate the margin of error for the first high school student, we can use the formula:

Margin of error = z* (standard error)

where z* is the critical value of the standard normal distribution corresponding to the desired level of confidence, and the standard error is given by:

standard error = sqrt[(p-hat * (1-p-hat))/n]

where p-hat is the sample proportion, and n is the sample size.

Given that the sample size is n=178, and the sample proportion is p-hat = 0.69, the standard error is:

standard error = sqrt[(0.69*0.31)/178] = 0.042

To find the critical value z* for a 95% confidence interval, we can look up the value in the standard normal table. Since we want a two-tailed confidence interval, we need to divide the level of significance (1 - 0.95 = 0.05) by 2, resulting in an alpha level of 0.025. Looking up the corresponding z-score, we find:

z* = 1.96

Therefore, the margin of error for the first high school student is:

Margin of error = 1.96 * 0.042 = 0.0828 ≈ 0.083 (to 3 decimal places)

b) To calculate the margin of error for the second high school student, we can follow the same procedure as above, using the sample size n=178 and the sample proportion p-hat = 0.83. The standard error is:

standard error = sqrt[(0.83*0.17)/178] = 0.038

The critical value z* for a 95% confidence interval is still 1.96, so the margin of error is:

Margin of error = 1.96 * 0.038 = 0.0745 ≈ 0.075 (to 3 decimal places)

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The function ought to be represented as; m(t) = 7t + 25 where t is the number of yards that she mows.

The term linear function refers to a function that yields a straight line graph when it is plotted. Now we know that a linear function would not contain an exponent that is greater than one.

In this case, we know that the question states that she charges a base fee of $25 and $7 for every hour she mows thus the function ought to be represented as; m(t) = 7t + 25 where t is the number of yards that she mows.

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Answer:

m(2) = 39; if hazel mows a yard for 2 hours

Step-by-step explanation:

sorry if this is incorrect but i thought it was more help then the previous answer

:)

hope this helps anyone and have a great day!!

Answer:

6.25 hours

Step-by-step explanation:

pages per hour

pages/hour

90/2.5 = 36

36 pages per hour

225 / 36 = 6.25 hours

Answer:

6.25 hours

Step-by-step explanation:

2 and half hours = 2.5 hours

Proportions:

90 pages  ⇔  2.5 hours

225 pages  ⇔  E hours

E = 225*2.5/90

E = 6.25 hours

6.25 hours = 6 and 1 quarter hours

Answer:

I use standard form

Step-by-step explanation:

I use the standard form.

Answer:

Step-by-step explanation:

Which statements about the relationship between the two triangles below are true? Check all that apply.Mark this and return