In the figure, m∠ 1=(3 x)° and m ∠2=(x+48)°
(a) Write an equation to find x. Make sure you use an = sign in your answer.
(b) Find the degree measure of each angle.
m ∠ 1=____°
m ∠ 2=____°

The total cash due at signing is $3399. The solution has been obtained by using arithmetic operations.

What are arithmetic operations?

The four fundamental operations, often known as "arithmetic operations," are said by mathematicians to be able to describe all real numbers. Divide, multiply, add, and subtract are the four mathematical operations that, respectively, result in quotient, product, sum, and difference.

We are given lease terms at the local dealership as

Length of lease = 36 months

MSRP of the car = $22,500

Purchase value of the car after lease = $17,500

Down payment = $1999

Monthly payment = $425

$475 security deposit

$500 acquisition fee

Now, the total cash due at signing (including the first monthly payment) is as follows:

$1999 + $425 + $475 + $500 = $3399

Hence, the total cash due at signing is $3399.

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Answer:

20%

Step-by-step explanation:

percent error = (estimated value - real value)/(real value) × 100%

percent error = (54 - 45)/(45) × 100%

percent error = 0.2 × 100%

percent error = 20%

Volume = side³.

Cube drawn by Owen From the drawing:Side = 7 in.

Cube drawn by PatSide length is 3 units greater than the side length of Owen’s cube:Side = 7in + 3in = 10 in

So the 3 sides= 10 you multiply 10 x 10 x 10 and would give you 1000

The factored form of the polynomial function f(x) = 2x² - 9x - 18 is:

(2x + 3 )( x - 6 ).

Given the function in the question:

f(x) = 2x² - 9x - 18

For a polynomial in the form: ax² + bx + c,

Rewrite the middle term as a sum of the two terms whose product is:

a × c = 2 × -18 = -36

And whose sum is b = -9

f(x) = 2x² - 9x - 18

Factor -9 out of 9x:

f(x) = 2x² - 9( x ) - 18

Rewrite -9 as 3 - 12

f(x) = 2x² + (3 - 12)( x ) - 18

Distribute the x:

f(x) = 2x² + 3x - 12x - 18

Factor out the greatest common factor from each group:

f(x) = x( 2x + 3 ) - 6( 2x + 3 )

Group the first and last two:

f(x) = (2x + 3 )( x - 6 )

Therefore, the factored form is f(x) = (2x + 3 )( x - 6 ).

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Answer:

4/3

Step-by-step explanation:

-2 1/3= -7/3

-5=-15/3

Answer:

If I'm reading this correctly, -2.33 or -2 1/3 - (-5) should equal to 2 2/3

Step-by-step explanation:

Since a minus sign is close to the minus sign inside the parantheses, you should turn the minus sign into a plus, giving you -2 1/3 + 5 which should equal to 2 2/3. Hope this helps

16 square is a rational number because it can be written as a fraction with the form a/b. So:

Answer: rational

Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%

The formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time

Process time = 23 days

Inspection time = 13 days

Value added time = 23 + 13 = 36days

The production cycle time = Move time + process time + queue time + inspection time + wait time

= 22 + 12 + 23 + 13 + 17 days

= 87 days

So, the manufacturing efficiency time = 36/87 * 100

= 41.4%

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"The coordinates of R are (a, b)."The coordinates of point R in the parallelogram PQRS are (a, b), where a is the x-coordinate of point Q and b is the y-coordinate of point Q.

To find the coordinates of point R, we can use the fact that PQRS is a parallelogram. Since PQRS is a parallelogram, opposite sides are parallel and equal in length.

Given that P = (0, 0), Q = (a, b), and S = (c, d), we can determine the coordinates of R using the fact that opposite sides of a parallelogram are parallel. The opposite side of PS is QR.

The x-coordinate of R is obtained by adding the x-coordinate of Q (a) to the x-coordinate of P (0). So, the x-coordinate of R is a + 0 = a.

Similarly, the y-coordinate of R is obtained by adding the y-coordinate of Q (b) to the y-coordinate of P (0). So, the y-coordinate of R is b + 0 = b.

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Answer:

The inverse is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x) = (x+3)^5

Finding the inverse,

\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)

We replace x with y and vice versa

so,

\(x = (y+3)^5\)

Solving for y,

the the 5th root,

\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)

hence the inverse function is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x)=(x+3)×5

Y=5X+15

now

interxchanging x and y we get,

x=5y+15

5y=x-15

y=x-15/5

therefor f~1(x)=x-15/5

The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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Answer:

I think the answer is $14 hope this helps!

Step-by-step explanation:

Answer:

\(m = 0.2\)

Step-by-step explanation:

To solve this equation we're basically trying to isolate m on one side.

The equation is \(m^2=0.04\).

If we want to make it \(m=x\), we have to find the square root of both sides, as the square root of something squared is just that something.

\(\sqrt{m^2} = \sqrt{0.04}\)

To find the square root of 0.04, we need to think "what number multiplied by itself get us 0.04?"

This number is 0.2.

So:

\(m = 0.2\)

Hope this helped!

Answer:

Step-by-step explanation:

That is cheating no help for you sorry

8square centimeters

Step-by-step explanation:

1 square is 1cm2. theres 8 squares so 8cm2

A series with positive and negative terms that alternate is called an alternating series. The sum is in the form "( 1) n a n," where "0" is the number and "1" is the number.

If lim n a n = 0, an alternating series converges and diverges. If lim n a n 0,

A series with the form n = a 1 n p is known as a p-series. If p > 1, it converges, and if p 1, it diverges.

A series converges unconditionally if its absolute value converges, while a series converges conditionally if its absolute value diverges.

A series will converge even when the absolute value of each term is taken into account, whereas a conditional convergence indicates that the series converges but not completely.

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Answer:

(1)

\(E(x) = 0.72\)

\(Var(x) = 1.1616\)

\(\sigma = 1.078\)

(2)

\(E(x) = 12\)

\(Var(x) = 1.3\)

\(\sigma = 1.14\)

Step-by-step explanation:

Solving (1):

\(\begin{array}{ccccccc}{Days} & {0} & {1} & {2} & {3} & {4}& {5} \ \\ {Probability} & {0.60} & {0.20} & {0.12} & {0.04} & {0.04} & {0.00} \ \end{array}\)

(a): Mean

This is calculated as:

\(E(x) = \sum x * P(x)\)

So, we have:

\(E(x) = 0 * 0.60 + 1 * 0.20 + 2 * 0.12 + 3 * 0.04 + 4 * 0.04 + 5 * 0.00\)

\(E(x) = 0.72\)

Solving (b): The variance

This is calculated as:

\(Var(x) = E(x^2) - (E(x))^2\)

Where:

\(E(x) = 0.72\)

and \(E(x^2) = \sum x^2 * P(x)\)

So, we have:

\(E(x^2) = 0^2 * 0.60 + 1^2 * 0.20 + 2^2 * 0.12 + 3^2 * 0.04 + 4^2 * 0.04 + 5^2 * 0.00\)

\(E(x^2) = 1.68\)

So, we have:

\(Var(x) = E(x^2) - (E(x))^2\)

\(Var(x) = 1.68 - 0.72^2\)

\(Var(x) = 1.1616\)

Solving (c): The standard deviation.

This is calculated as:

\(\sigma = \sqrt{Var(x)}\)

\(\sigma = \sqrt{1.1616}\)

\(\sigma = 1.078\)

Solving (2):

\(\begin{array}{ccccccc}{x} & {10} & {11} & {12} & {13} & {14}& { } \ \\ {P(x)} & {0.1} & {0.25} & {0.3} & {0.25} & {0.1} & { } \ \end{array}\)

(a): Mean

This is calculated as:

\(E(x) = \sum x * P(x)\)

So, we have:

\(E(x) = 10 * 0.10 + 11 * 0.25 + 12 * 0.3 + 13 * 0.25 + 14 * 0.1\)

\(E(x) = 12\)

Solving (b): The variance

This is calculated as:

\(Var(x) = E(x^2) - (E(x))^2\)

Where:

\(E(x) = 12\)

and \(E(x^2) = \sum x^2 * P(x)\)

So, we have:

\(E(x^2) = 10^2 * 0.10 + 11^2 * 0.25 + 12^2 * 0.3 + 13^2 * 0.25 + 14^2 * 0.1\)

\(E(x^2) = 145.3\)

So, we have:

\(Var(x) = E(x^2) - (E(x))^2\)

\(Var(x) = 145.3 - 12^2\)

\(Var(x) = 1.3\)

Solving (c): The standard deviation.

This is calculated as:

\(\sigma = \sqrt{Var(x)}\)

\(\sigma = \sqrt{1.3}\)

\(\sigma = 1.14\)

The state income tax owed on a $40,000 per year salary is $1,500.

We have,

To calculate the state income tax owed on a $40,000 per year salary, we need to use the progressive tax rate table given in the problem.

Since $40,000 falls within the income range of $10,001 to $50,000, the tax rate that applies is 5%.

The amount of income that falls within this range.

= $40,000 - $10,000

= $30,000.

So we can calculate the tax owed on this income as:

tax = 5% x $30,000

= 5/100 x 30,000

= $1,500

Therefore,

The state income tax owed on a $40,000 per year salary is $1,500.

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Answer: 1,800

Step-by-step explanation:

Answer:

5x+27 > -24

Don't forget the greater than or equal to sign, I just don't know how to type it. If you're not sure, it's the symbol I have typed above with a line underneath.

Hope this helps :)

Step-by-step explanation:

here is my step by step so first you look at the two inner angles which in this case are B and C then you multiply them together to get your angle D.

Answer:

A.) obtuse angle  

B.)  180 degrees

C.) 95 degrees

Step-by-step explanation:

C.) 80 - 85 = 95

Answer:

y=55+15x

Step-by-step explanation:

Answer:

The answer is (C) y = 55 + 15 x

Step-by-step explanation:

This is because the cost of the plan must be added to the cost of the lines to find the total cost. The equation for option (C) correctly depicts that y the plan, needs to be added to x the lines. This equation correctly shows the relationship between the two numbers.

With 99% confidence that the true difference lies between 0.1316 and 0.2694.

A 99% confidence interval for the difference in average SAT scores between coached and uncoached students can be constructed using the data above.

The confidence interval is calculated as (mean of coached students - mean of uncoached students) +/- (2 * standard error of the difference in means).

The mean of coached students is (0.3098 + 0.3399 + 0.219 + 0.0798) / 4 = 0.2155, and the mean of uncoached students is (0.0046 + 0.0248) / 2 = 0.0147. The standard error of the difference in means can be calculated as the square root of ((0.2155(1-0.2155)/4) + (0.0147(1-0.0147)/2)).

The confidence interval is then (0.2155 - 0.0147) +/- (2 * 0.0347) = 0.201 +/- 0.0694, or (0.1316, 0.2694). This indicates that, on average, coached students gain 0.201 points more than uncoached students, with 99% confidence that the true difference lies between 0.1316 and 0.2694.

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The function w(x) = 0.15x + 500 represents the relationship between Stephanie's wages and her monthly sales.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Let's suppose the Stephanie's wages is w and weekly sale is x

So we can model a function:

\(\rm w(x) = \dfrac{15}{100}x+500\)  or

w(x) = 0.15x + 500

Thus, the function w(x) = 0.15x + 500 represents the relationship between Stephanie's wages and her monthly sales.

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The minimum number of trips the bus will have to make to accommodate everyone is 5.

To find the minimum number of trips the bus needs to make, we divide the total number of people by the capacity of the bus.

1. Divide the total number of people (330) by the capacity of the bus (68):

  330 / 68 = 4.85 (rounded to the nearest whole number)

2. The result is approximately 4.85, which means that 4 trips will not be enough to accommodate everyone.

3. Since we can't have a fraction of a trip, we need to round up to the nearest whole number to ensure that everyone is accommodated.

4. Therefore, the minimum number of trips the bus will have to make is 5, as it will require 5 full trips to transport all 330 people.

It's important to note that on the fifth trip, the bus will not be completely full, as only 10 people will be left to transport. However, this is the minimum number of trips needed to ensure that everyone can go sight-seeing on the bus.

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To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

\(\sf\:m\angle AB = 56 \\\)

\(\sf\:m\angle BC = 59 \\\)

\(\sf\:m\angle CD = 63 \\\)

\(\sf\:m\angle DE = 63 \\\)

\(\sf\:m\angle EF = 31 \\\)

To find the measure of the geometry-big circle, we add up these measures:

\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)

Substituting the given values:

\(\sf\:56 + 59 + 63 + 63 + 31 \\\)

Simplifying the expression:

\(\sf\:272 \\\)

Therefore, the measure of the geometry-big circle is 272.

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Answer:

11 > (w- 4)

y < 3

5 + 9 < 5.9

So these are the phrases which are inequalities.

Answer:37.5 square inches

Step-by-step explanation:

Answer:

an odd number

Step-by-step explanation:

because it mostly contains odd number numbers

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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