18-9.2x10 to the power of -4 subtract the following in.Write your answer in standard notation

The values of all 3 angles are:

So, we know that ∠AOB is s straight angle (180°).

Then,

Now, solve for straight angle ∠DOC with x = 95°:

Similarly, solve for straight angle ∠AOB with z = 115°:

Therefore, the values of all 3 angles are:

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Answer:

C. $2.498

Step-by-step explanation:

Andrea's family stopped at the gas station to get gas. At gas stations, the price of gas per gallon is given to the nearest thousandth. In order to determine how much money he would need to pay for the gas, Andrea's dad asked her to round the price of gas per gallon to the nearest hundredth.

The gas price per gallon rounded to the nearest hundredth was $2.50. Which of the following prices could have been the original gas price?

$2.505 a

$2.509 b

$2.498 c

$2.493 d

Answer:

[tex]9 \times {10}^{5} [/tex]

Step-by-step explanation:

[tex](1.5 \times {10}^{2} )(6 \times {10}^{3} )[/tex]

[tex](1.5 \times 6)( {10}^{2} \times {10}^{3} )[/tex]

[tex]9 \times {10}^{5} [/tex]

Let's use the simple interest formula:

Where:

FV = Future value = $6050

PV = Present value = $5000

r = interest rate

t = time = 3

Replacing the data into the equation:

r = 40.33%

Answer:

30 movies.

Step-by-step explanation:

Hey! Let's help you with your question here!

Alright, so here's what we know. When we go see a movie, we earn 2 advantage points. We need 100 points to get a free movie pass and we currently have 40 advantage points.

When writing equations like this, we need to know what the fixed values and the variable values are. The variable values are subject to change, where the fixed values, we cannot change.

In this question here, we have 40 advantage points and this is already given to us, so it cannot change. This is our fixed value. What we can change is how many times we can see a movie after that, which will earn us 2 advantage points each time. This will be our variable value.

Now that we've determined our values, let's create the formula! I will be using y to represent the total amount of points and m to represent the amount of movies seen. So, we write it as such:

[tex]y=2(m)+40[/tex]

We got our formula! Now we have to figure out how many more movies we need to watch to get our free movie pass. Since we know that is the total amount of points that we need to get, we can substitute 100 into y to solve for m which is the number of movies! It would look like this:

[tex]100=2(m)+40[/tex]

[tex]60=2(m)[/tex]   - We move 40 over to the left side and subtracted 100 by 40.

[tex]\frac{60}{2}=\frac{2(m)}{2}[/tex]    - We divide both sides by 2 to get rid of the 2 in front of the m.

[tex]30=m[/tex]

And there we have it! We would need to see 30 movies in order to get our free movie pass! You can double check this by taking [tex]y=2(m)+40[/tex] and substitute m with 30 and find y.

The function x = 10y + 30 where x is the total amount paid and y is the number of hours.

The babysitter is paid $30 each week for driving the children to school and $10 for each hour she watches them.

Let x represent the total amount paid to the babysitter in a week.

Let y be the number of hours the babysitter watched the kids.

The function that represents the situation will be:

The total amount paid = Pay each week + Pay for the number of hours the babysitter watched the kids.

x = 30 + 10 × y

x = 10y + 30

The function in x that represents the total amount you paid for your babysitter in a week is x = 10y + 30.

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The value after simplification for the variable 'x' is: x = (2√6 -2)/5

What is simplification?

In mathematics, the term simplification is used to solve complicated equation. Basically, it convert the complicated terms into easy expression to make the calculation simple. The method is applicable in almost the equation based problems.

According to the question, the given expression for the simplification is as follows:

Required expression: 2(5x + 2)² = 48

(5x + 2)² = 24 ⇒ (5x + 2) = √24 = 2√6

⇒ (5x) = 2√6 - 2

⇒ x = (2√6 -2)/5

Hence, the value for the variable 'x' is: x = (2√6 -2)/5

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Answer: combine like terms

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

-8.6363 the proper answer (estimated) is -8.66

Answer:

-7.37 is the answer for this.

The number of months it will take for both accounts to have the same amount of money is 250.50 - 35m = 300 - 45.25m, which can be found using the equation.

Let  m be the  number of months.

It is given that:

The international Business club starts with $ 250.50 in their account.

and each month they spent $ 35 on activities.

This means that after m months the total amount left in the bank account is:

250.20-35 m

The future agriculture leaders club start with a amount of $ 300 and spent $ 45.25 each month.

This means that the amount left in the account after m months is:

300-45.25m

Now, the equation that represents same amount of money in both the accounts is:

250.50-35m=300-42.25m

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The value of m∠L is 55 degrees and the value of m∠J  is 61 degrees.

As we know, vertical angles are the opposite angles made by the intersection of the two lines, vertical angles are equal in magnitude,

So, we can write,

1. ∠L and ∠Z are vertical angles,

∠L = 2x + 9 and,

∠Z = 3x - 14.

Because both are vertical angles, so,

∠L = ∠Z

2x + 9 = 3x - 14

Solving further,

3x - 2x = 9 + 14

x = 23

So, the value of ∠L is,

= 2(23)+9

= 46+9

= 55°

The value of angle ∠L is 55°,

2. As, ∠Y and ∠J are vertical angles, so they are equal,

∠Y = 7x + 12

∠J = 10x - 9

∠Y = ∠J

7x + 12 = 10x - 9

Solving further,

3x = 21

x = 7

So, the value of ∠J is,

= 10(7) - 9

= 70 - 9

= 61°

The value of ∠J is 61°.

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The recording of the transaction in WTI's general journal at December 31, is as follows:

Date       Account Titles               Debit       Credit

Dec. 31   Accounts receivable   $7,500

              Tuition fees earned                    $7,500

              To record the tuition revenue earned.

The general journal is the first accounting record for business transactions.

The transactions are recorded chronologically, that is according to the date they occur.

The general journal identifies the two or more accounts involved in any business transaction, and pinpoints the accounts to be debited and the ones to be credited, in accordance with the double-entry system of accounting.

Dec. 31 Accounts receivable $7,500 Tuition fees earned $7,500

Thus, the earned revenue has been recorded in the general journal.

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Record the transaction in the general journal.

Answer:

Step-by-step explanation:

A straight line will have the form y=mx+b, where m is the slope of b the y-intercept (the value of y when x = 0).

Slope is given as 5,  That means:

y = 5x+b

We need a value of b that forces the line to gto through (2/5,12),  Enter the point in the above equation and solve for b:

y = mx + b

12 = 5 (2/5) + b

12 = 2 + b

b = 10

y = 5x + 10

See attached graph.

The most appropriate choice for subtraction will be given by -

Remy will still get 370270

What is subtraction?

At first it is important to know about integers.

Integers are numbers which have no fractional part.

Integers can be positive, negative and zero is also an integer.

Now, to find the difference between two integers, subtraction is used.

The larger number is called minuend and the smaller number is called subtrehend.

Here,

Amount of money Remy lent = 1248500

Amount of money Remy could able to collect = 878230

Amount of money Remy will get = 1248500 - 878230

                                                      = 370270

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Answer:

g(x) = x - 8

Step-by-step explanation:

f(x) = x - 5

g(x) = f(x-3) = f(x-5) - 3 = x -8

The missing reasons in each of the steps involved in solving the one-variable equation are as follows;

It follows from the task content that the steps which are missing be determined.

Part A; we have;

2 { (1/2)x - 5} = 20

It follows that the expression above is derived by multiplying both sides of the equality by 2. Hence, the missing reason is; The multiplication property of equality.

Part B; Since the equation; 2 { (1/2)x - 5} = 20 is rewritten as; x - 10 = 20.

It follows that each term in the parentheses is multiplied by 2 and this concept is best described by the distributive property.

Part C; Finally, 10 is added to each side of.the equality; x - 10 = 20 which results in; x = 30.

The scenario above is best modelled by the addition property of equality.

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By using unitary method, we get that 150.68 pesos are worth $ 7.6 .

An individual or singular unit is referred to as unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one litre of gas if it travels 44 km on two litres of fuel.

We know 1 U.S. dollar = 19.61 Mexican pesos

Thus by unitary method, we get ;

1 Mexican pesos = 1 / 19.61 dollars

this implies 1 Mexican pesos = 0.5099

To find : 150.68 pesos worth

Therefore , 150.68 pesos worth = 150.68 × 0.5099

                                                    = 7.683 dollars

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The exact value of the trigonometric function sec θ is 17/15.

When a number or algebraic expression is beneath a radical, the form is referred to as being in radical form. However, by rearranging a number or algebraic expression in radical form into what is known as the simplest radical form, we can improve that.

The angle θ in standard position and the terminal side passes through the point ( 15, 8 ).

So, we have x = 15 and y = 8 which is in the first quadrant.

Therefore,

r² = x² + y²

r² = ( 15 )² + ( 8 )²

r² = 225 + 64

r² = 289

r = 17

Then,

sec θ = 1/cosθ

sec θ = [ 1/(x/r) ]

sec θ = r/x

sec θ = 17/15

sec θ = 1.1333

The value of the trigonometric function sec θ = 17/15.

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Answer:

[(3, 1), (5, 6)]

[(4, -2), (0, -8)]

[(5, 4), (2, 0)]

[(-1, -3), (-1, -7)]

Explanation:

The distance between two points (x1, y1) and (x2, y2) can be calculated as:

So, if we have the expression:

The coordinates of (x1, y1) are (3, 1) and the coordinates of (x2, y2) are (5, 6)

In the same way, for the other expression we get:

So, the answer in order are:

[(3, 1), (5, 6)]

[(4, -2), (0, -8)]

[(5, 4), (2, 0)]

[(-1, -3), (-1, -7)]

SOLUTION

The team won 130 games and lost 90 games. This means that the total games played is

Percentage of games won becomes

So, we have

Hence the answer is 59%

The option that is cheaper per ounce is = two 12-ounce cups for $0.84.

Ounce measurement is defined as the measurement used for the weight of an object which is equivalent to 31.1 grams per ounce of the object.

30 ounce cup = $1.95

Therefore, 1 ounce = 1.95/30

=$0.065

2× 12 ounce cup = $0.84

24 ounce cup = 0.84

Therefore 1 ounce = 0.84/24

= $0.035

Therefore, the second option which is two 12-ounce cups for $0.84, is cheaper because 1 ounce is equivalent to $0.035.

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Yes, are lines q and n perpendicular. Because Perpendicular lines are those that intersect at a right angle (90 degrees).

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A

y=mx+b

m is the slope

b the point where y is at when x is on 0 so yourpoint plot is (0,25) ( 1,38) ect

Answer:

A is the answer Slope is 18 and starts at 25 will increase by 18 every month.

Step-by-step explanation:

The ordered pair (3,4) in relation to origin is plotted as:

3 spaces to the right and 4 spaces up

When two items are written inside parantheses and are separated by a comma, they create an ordered pair. For instance, the ordered pair (x, y) indicates an ordered pair in which 'x' is referred to as the first element and 'y' is referred to as the second element. These items, which can be either variables or constants, have distinct names depending on the context in which they are used. In an ordered pair, the element order is somewhat significant. It implies that (x, y) may not always be equivalent to (y, x).

In coordinate geometry, a point's location on the coordinate plane with respect to the origin is represented as an ordered pair. Two perpendicular intersecting lines, one of which is the x-axis and the other is the vertical line, together constitute a coordinate plane (y-axis).

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The values of p and q so that the equations has infinitely many solutions are -12 and 4 respectively.

Given, we have equation px+4=-12x+q

To  find the values of p and q we just need to equate coefficients of corresponding terms.

To find q, substitute p = -12

-12x+4=-12x+q

-12x+12x+4 = q

q = 4

hence when q = 4, then

px+4 = -12x+4

px+4 - 4 = -12x

px = -12x

p = -12

Therefore, for infinitely many solutions of the equation, the values of p and q are -12 and 4 respectively.

Hence tha values of p and q are -12 and 4.

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The converse of the conditional statement is “If they will come then you build it”.

The inverse of the conditional statement is “If you do not build it then they will not come.”

The contrapositive of the conditional statement is “If they will not come then you not build it”.

The conditional statement is defined as the two fundamental components that make up a conditional statement Hypothesis (if) and Conclusion (then).

The given conditional statement is "If you build it, they will come"

The converse of the conditional statement is “If they will come then you build it”.

The inverse of the conditional statement is “If you do not build it then they will not come.”

The contrapositive of the conditional statement is “If they will not come then you not build it”.

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Part 1:  x and y intercept are (-5, 0) and (0, -5).

Part 2: Rule for the line is to find the slope.

For the given question;

Part 1:  x and y intercept.

The equation of the line is -x -y = 5.

For x  intercept, put y = 0.

-x -0 = 5.

x = -5

x  intercept - (-5, 0)

For y  intercept, put x = 0.

-0 -y = 5.

y = -5

y  intercept - (0, -5)

Part 2: Rule for the line,

The equation of the line is given as;

y - y1 = m(x - x1)

Intercept point are given as  

For finding the equation of the line, find the slope using the given points and put in the equation.

The formula of slope is;

slope = m = (y2 - y1)/(x2 - x1)

Thus, slope should be know to form the equation of the line.

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Answer:

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The box is the right rectangular prism.

Its volume is the product of its three dimensions:

We need to find each dimension and multiply them to get the desired function.

The height is same as size of the cut, so it is x units.

The length was 14 units but it is now cut from bot ends so it is now:

The width was 6 units but it is too cut from the both ends by x units:

We have all three dimensions, find the volume:

V = (14 - 2x) (6 - 2x) x cubic units.

The polynomial function formed by given dats is V=(14 - 2x) (6 - 2x) x

Here given,

A rectangle has 14 units of length and 6 units of width.

From each corner of the rectangle, four squares with dimensions of x by x units are cut out.

The box's length is equal to (14 - 2x) units.

The box's width is =(6 - 2x) units.

The box's height is = x unit.

The volume of the box is equal to the sum of its length, width, and height.

Cubic units =(14 - 2x) (6 - 2x) x

∴V=(14 - 2x) (6 - 2x) x

where V is the box's volume in cubic units

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