What is the measure of the missing angle?

Answer:

Mortgage total is $387,400.11.

Step-by-step explanation:

Thee monthly mortgage monthly payment is first calculated using the following formula:

M = P * (r / (1 – (1 + r)^-n)) …………………………. (1)

Where;

M = monthly payment = ?

P = principal = Purchase price * (1 - Down payment percentage) = $225,000 * (1 - 15%) = $191,250

r = monthly interest rate = annual interest rate / 12 = 6.5% / 12 = 0.065 / 12 = 0.00541666666666667

n = number of months = 25 years * 12 months = 300

Substituting the values into equation (1), we have:

M = $191,250 * (0.00541666666666667 / (1 - (1 + 0.00541666666666667)^-300))

M = $191,250 * 0.00675207161347643

M = $1,291.33

Mortgage total can now be calculated as follows:

Mortgage total = Monthly payment * Number of years * Number of months in a year

Mortgage total = $1,291.33 * 25 * 12

Mortgage total = $387,400.11

Therefore, the mortgage total is $387,400.11.

According to the information, it can be inferred that the total matches that would be played in total are 160,461.

A combination is a term to refer to an arrangement of elements in no particular order. For example:

When we put together a sandwich with salami, ham and turkey. The order in which the deli meats are placed does not matter as long as they are in a sandwich. There is only one way to stack the meat on the sandwich when the order doesn't matter.

To calculate how many matches will be played in total we have to perform the following procedure:

\(= ^{567} C_{2} \\= \frac{(567)!}{2!565!} \\= \frac{567 * 566 * (565)!}{2 * (565)!} \\= 567 * 283\\= 160,461\\\\\)

As we can see after the combination, the number of games that would be played in this tournament would be 160,461.

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Answer:68%

Step-by-step explanation:

just took this test

The percentage of values is within the interval 111 to 139 will be "68%".

According to the question,

Mean = 125

Standard deviation = 14

Let,

The random variable be "X".

Now, the probability:

→ P(111 < X < 139) = P (111 - 125 < X - 125 < 139 - 125)

                           = P(-14 < X - 125 < 14)

                           = P(-\(\frac{14}{14}\) < \(\frac{(X-125)}{14}\) < \(\frac{14}{14}\))

                           = P(-1 < Z < 1)

When, Distribution function "\(\phi\)" now,

= \(\phi\)(1) - \(\phi\)(-1)

= \(\phi\)(1) - 1 + \(\phi\)(1)

= 2 × \(\phi\)(1) - 1

= 2 × 0.8413 -1

= 1.6826 - 1

= 0.6826 or,

= 68%

Thus the above answer i.e., "option C" is correct.

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Answer:

864 cm

Step-by-step explanation:

9514 1404 393

Answer:

  A. vertical compression by a factor of 0.1 and a horizontal translation 6 units right

Step-by-step explanation:

The relation between g(x) and f(x) is ...

  g(x) = 0.1·f(x -6)

The factor of 0.1 compresses the graph vertically to 1/10 of its previous height. The addition of -6 moves the graph horizontally by 6 units to the right.

The ordered pair (3, - 2) is not a solution to the equation 2x - y = 4

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x,y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given, an equation 2x - y = 4 now if  (3, - 2) is an ordered pair then putting the numerical value of x must satisfy the y value.

when x = 3,

2(3) - y = 4.

6 - y = 4.

- y = 4 - 6.

- y = - 2.

y = 2.

So,  (3, - 2) is not a solution to an equation 2x - y = 4.

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Answer:

3/4

Step-by-step explanation:

The correlation coefficient between X and Y is Corr(X, Y) = 0.

To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.

a. Marginal distribution of X:

To find the marginal distribution of X, we integrate the joint PDF over the range of Y:

∫[0, 1] J(x, y) dy

Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:

∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1

So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.

b. Expectation of X:

The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:

\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)

Therefore, the expectation of X is E(X) = 1/3.

c. Variance of X:

The variance of X can be calculated using the formula:

\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)

Therefore, the variance of X is Var(X) = 5/36.

d. Covariance of X and Y:

The covariance of X and Y can be calculated as:

Cov(X, Y) = E(XY) - E(X)E(Y)

Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:

\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

Cov(X, Y) = 1/6 - (1/3)(1/6) = 0

Therefore, the covariance of X and Y is Cov(X, Y) = 0.

e. Correlation coefficient between X and Y:

The correlation coefficient can be calculated using the formula:

Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))

Since the covariance of X and Y is 0, the correlation coefficient will also be 0.

Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.

f. Conclusion based on the correlation coefficient:

The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the

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The normal range using a compound inequality is 1.5 < x < 4

From the question, we have the following parameters that can be used in our computation:

pH values less than 4

pH values greater than 1.5

Represent the pH values with x

Using the above as a guide, we have the following:

x is less than 4

x is greater than 1.5

When represented as inequality, we have

x < 4 and x > 1.5

Combine the inequalities

1.5 < x < 4

Hence, the normal range is 1.5 < x < 4

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Answer:b

Step-by-step explanation:

By evaluating the given linear relation, we conclude that the complete table is:

x:  2, 0, 1, 14/3

y: 0, -3, -3/2, 4

Here we have the linear relation:

9x - 6y = 18

And we want to complete the given table, to do so, we just need to evaluate the relation in the given values and with that we can find the missing ones.

For example, the first pair has y = 0.

Evaluating that we get:

9x - 6*0 = 18

9x = 18

x = 18/9 = 2

Then we have the pair (2, 0).

The second has x = 0, replacing that we get:

9*0 - 6*y = 18

y = 18/-6 = -3

So we have the pair (0, -3)

The third has x = 1, replacing that:

9*1 - 6y = 18

-6y = 18 - 9 = 9

y = 9/-6 = -3/2

So we have the pair (1, -3/2)

The last value on the table is y = 4, replacing that:

9x - 6*4 = 18

9x - 24 = 18

9x = 18 + 24 = 42

x = 42/9 = 14/3

Then the complete table is:

x:  2, 0, 1, 14/3

y: 0, -3, -3/2, 4

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Answer:

False.

Step-by-step explanation:

The quadratic formula is as follows:

\(-b + \sqrt{\frac{b^2-4ac}{2a}\) or \(-b - \sqrt{\frac{b^2-4ac}{2a}\) (I wasn't able to do the plus/minus so that's why there's two equations since you get two different answers from doing plus or minus)

The incorrect portion would be the variable "b" under the square root, as the correct format would be b².

Answer:

blah 23 =67=43

Step-by-step explanation:

The system of inequality is solved on the graph and the point of solution is given by P ( -0.833 ,0 )

Given data ,

Let the system of inequality be represented as A and B

Now , the values of A and B are

-7x + 3y > 3   be equation (1)

6x + 3y ≤ -5   be equation (2)

On plotting the equations on the graph , the points of intersection is the solution to the inequality

So , the point of intersection on the graph are

P ( -0.833 ,0 ) and Q ( -0.566 , -0.321 )

Hence , the solution to the inequality is P ( -0.833 ,0 )

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Step-by-step explanation:

how many ways can the coach make out the batting order? 9! = 9 · 8 · 7 · 6 · 5 ·4 · 3 · 2 · 1 = 362,880 .

Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

Answer:

B. 14,525

Step-by-step explanation:

If a tablet costs $35 and the school is purchasing tablets for every student, then the total cost to buy tablets for the whole school would be:

$35 x 415 = $14,525

Therefore, the answer is B. $14,525.

Answer:

188.4 units²

Step-by-step explanation:

Hi there!

Part A

Surface area of a cone = \(3.14(rs+r^2)\) where r is the radius of the base and s is the slant height

⇒ r = 6

Replace r with 6

\(3.14(6s+6^2)\)

⇒ s = 4

Replace s with 4

\(3.14(6*4+6^2)\)

Part B

Evaluate the expression found in Part A:

\(3.14(6*4+6^2)\)

Find 6²:

\(=3.14(6*4+36)\)

Find 6*4:

\(=3.14(24+36)\)

Find 24+36:

\(=3.14(60)\\=188.4\)

Therefore, the surface area of the cone is 188.4 units².

I hope this helps!

Answer: 782.05 miles.

Step-by-step explanation: Percentage is a ratio expressed as fraction of 100, in other words, 61% is represented as \(\frac{61}{100}\) or 0.61.

London slept 61% of the journey, so it means he was awake for 39% of the journey. Now the total trip is \(\frac{100}{100}\) or 1, so the relationship will be

0.39 ---- 305 miles

   1   ----- x

\(x=\frac{305}{0.39}\)

x = 782.05

The total length of the trip was 782.05 miles.

Answer: 500

Step-by-step explanation:

I am going to do this problem with more of an algebraic approach weather or not its the way your teacher wants you to do it like this.

The way to do things algebraically is to just set variables for what you want to find and set up equations to represent each sentence.

As seen there are hamburgers and chickens in this problem. So let's set the numbers of hamburgers to x, and the numbers of chickens to y.

Now write out each sentence using variables.

1.) Tia sold 78 hamburgers and chicken tenders.

x+y=78

2.) If she sold 24 more hamburgers than chicken tenders.

x=y+24

Now that we have the 2 equations, its time to solve.

Since we have x=y+24, we can replace the x in the first equation with the second equation

y+24+y=78

2y+24=78

Now we can subtract 24 from both sides.

2y=54

Simplify

y=27

Solve for x

x=27+24=51

Done!

Answer: 4.4000 km

Explanation

Considering that 1 km is 10 hm, we can build the following conversion:

Then, we have to multiply this conversion times the number of hm we have:

The functions f, g, h and k are \(f(x)=15\cdot 3^{x}\), \(g(x) = 26\cdot 0.5^{x}\), \(h(x) = 7\cdot 8^{x}\) and \(k(x) = 280\cdot 0.143^{x}\), respectively.

A function is monotonous when is either increasing or decreasing for all value of \(x\). A power function is a case of a monotonous function, whose model is defined below:

\(y = y_{o}\cdot r^{x}\) (1)

Where:

Now we proceed to define each function:

\(f(x)=15\cdot 3^{x}\) (2)

\(g(x) = 26\cdot 0.5^{x}\) (3)

\(h(x) = 7\cdot 8^{x}\) (4)

\(k(x) = 280\cdot 0.143^{x}\) (5)

The functions f, g, h and k are \(f(x)=15\cdot 3^{x}\), \(g(x) = 26\cdot 0.5^{x}\), \(h(x) = 7\cdot 8^{x}\) and \(k(x) = 280\cdot 0.143^{x}\), respectively. \(\blacksquare\)

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Answer:

D 15

Step-by-step explanation:

\(\frac{5}{20}\)=\(\frac{x}{60}\)

Answer:

0.0995076923

Step-by-step explanation:

The option that is extraneous solution of

√-3x-2=x+2 is A. -6.

From the information given, taking square both sides

-3x - 2 = (x + 3)²

On applying identity   = a² + b² + 2ab

Then ,

-3x -2 =  x² + 2² + 2 * 2 *x

-3x -2 =  x² + 4 + 4x.

On adding both sides by 3x

-2 =  x² + 4 + 4x + 3x

-2 =  x² + 4 + 7x

On adding both sides by 2

0 =  x² + 4 + 7x + 2

On switching sides

x² +7x + 6 = 0

On Factoring

x² +6x + x + 6 = 0

x ( x+ 6 ) +1 (x +6 ) = 0

On grouping

( x +1) ( x +6) = 0

x = -1, -6.

An extraneous solution is a root of a transformed equation that is not a root of the original equation. Therefore, -6 is the extraneous solution.

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Complete question

Which of the following is an extraneous solution of sqrt(-3x-2)=x+2 a.-6 b.-1 c.1 d.6

Answer:

Step-by-step explanation:

1/2 * 1/4 = 1/8

When you divide fractions you can multiply them if you use el reciproco ( not sure how to tell it in English sorry)

Hope this help

The equivalent multiplication equation is 1/2 x 1/4.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

1/2 ÷ 4​

As, the fraction does not support division.

So, to perform the division we change the division sign into multiplication sign and reciprocate the number on the right side of division sign.

Then, 1/2 ÷ 4​

= 1/2 x 1/4

= 1/8

Hence, the equivalent multiplication equation is 1/2 x 1/4.

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Two lines that are parallel have the same slope. In its slope-intersect form, we can write the equation of a line with slope m and y-intercept b as:

Step 1

Write the given equation in slope-intercept form and identify its slope m.

Thus:

Step 2

Find the equation with the same slope m = -2. We need to identify which of them has -2 multiplying the variable x.

Answer

From the given options, the only one with the same slope m = -2, therefore parallel to the given line, is:

Answer:

675 = variable expenses

Step-by-step explanation:

Take the total expenses and subtract the fixed expenses to find the variable expenses

1425-750 = variable expenses

675 = variable expenses

Answer:

Step-by-step explanation:

Remark

The two black suites are

Clubs

Spades

Each of them has 13 cards so the total number of black cards is 2*13 = 26

Add to that the hearts which also has 13 cards

The total number of possible good cards is 13 + 26 = 39

Answer

P(hearts or Black) = 39/52

P(hearts or Black) = 3/4

P(hearts or Black) = 0.75

Answer:

(5c-d)/a = b

Step-by-step explanation:

First you would bring the d to the right side of the equation

ab=5c -d

Then, you will divide the right side of the equation by a to find the value of b

(5c-d)/a =b

Hope this helps!!!