In a unit circle, 0 = 3pi/2. What is the terminal point?
O A. (1,0)
O B. (0,1)
O C. (0, -1)
O D. (-1,0)

The number of people that must attend for him to break even

is 240.

Given that the owner charges $7 per ticket, every customer receives a brochure that costs the owner $2 for each person and the owner must pay his band $1200.

We are required to find the people must attend for him to break-even.

Break even point is the point at which there is not any profits or losses.

We have to first form the equation for the break even.

Suppose the number of people be x.

Cost to the owner will be 1200+2x.

Revenue will be 7x.

Break even point will be at the point where 7x=1200+2x

7x-2x=1200

5x=1200

x=240

Hence the number of people that must attend for him to break even

is 240.

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Question is incomplete. It should include the following line:

Calculate the break even level for the owner of local concert hall.

The required expression is 17x + 2124 which represents the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by adding,  subtracting, dividing, and multiplying built-in functions.

Let the number of MP3 players TechWiz sold last week would be x.

Here TechWiz Electronics makes a profit of $35 for each MP3 player sold.

Last week, TechWiz sold a combined total of 118 MP3 and DVD players.

As per the condition,

So the required expression for the combined total profit would be:

= 35x + 18(118-x)

= 35x + 2124 - 18x

= 17x + 2124

Hence, the required expression is 17x + 2124 which represents the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week.

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Answer:

0

Step-by-step explanation:

We just add left to right:

- 5 and -7 is -12

-12 plus 12 is 0.

Answer:

63

Step-by-step explanation:

The expression (128 + 32) when rewritten using factoring is 4(32 + 8)

The expression in the question s given as

(128 + 32)

Express the numbers 128 and 32 as the product of their factors

i.e. we factor out 4 from the expression

So, we have

(128 + 32) = (4 * 32 + 4 * 8)

Next, we factor out the common factor (i.e. 4) from the expression

So, we have

(128 + 32) = 4 * (32 + 8)

Rewrite the above expression as follows

(128 + 32) = 4(32 + 8)

Hence, the expression (128 + 32) when rewritten using factoring is 4(32 + 8)

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Answer:

a. write an expression Melanie can use to determine her bank account balance after paying these bills and receiving money from her sister

Answers

P(U and V) = 0

P(U or V) = 0.67

========================================

Explanation:

P(U and V) = 0 since U and V are mutually exclusive. Such events cannot happen at the same time. Example: flipping a coin to get heads and tails at the same time.

-------

P(U or V) = P(U) + P(V) - P(U and V)

P(U or V) = 0.29 + 0.38 - 0

P(U or V) = 0.67

-------

I'm not sure about P(UV) since there doesn't seem to be enough information. Does your teacher mention if the events are independent or not?

y=1/2x-13/2 is equation of the line that satisfies the given conditions. Through (1, −6) and parallel to the line x + 2y = 6

y=mx+c

where m is the slope.

Firstly we need to find the slope of the line  x - 2y = 6 by using slope intercept form, y=mx+c.

-2y=6-x

2y=x-6

y=1/2 x-6

m=1/2 slope of the line  x - 2y = 6.

For parallel lines slope will be same.

Now Use y = mx + b and the point (1,-6) to find b, the y-intercept.

-6= (1/2)*1 + b

-6-1/2=b

-13/2=b

y=1/2x-13/2 is the equation of line.

Therefore y=1/2x-13/2 is the line parallel to x + 2y = 6.

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There are 0.857 quarts of pure antifreeze that must be added to 3 quarts of a 10% antifreeze solution to obtain a 30% antifreeze solution.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that there is 10% times 3 quarts or 0.3 quarts of antifreeze in the current mix and we want a 30% solution.

Let the amount of pure antifreeze to be added would be x

The equation to solve becomes,

⇒ (0.3 + x )/(3 + x) = 0.3

⇒ (0.3 + x ) = 0.3 × (3 + x)

⇒ (0.3 + x ) = 0.9 +0.3x

⇒ 0.7x = 0.6

⇒ x = 0.857

Therefore, we need to add 0.857 quarts of pure antifreeze to the current solution to make a 30% solution.

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Answer:

the number is 5

Step-by-step explanation:

let the number be x

4*(x)+-7=3+2x

4x-7=3+2x

2x=10

x=5

The minimum score needed on the fourth test to get a B grade for the course is; 153 points.

It follows from the task content that the first 3 tests attract 100 points each while the fourth test attracts 200 points. On this note, it follows that the total number of points attainable is; 500 points.

To get 80%, one must get; (80/100) × 500 = 400 points.

Hence, the minimum score needed on the fourth test to get a B is; 400 - 79 - 77 - 91 = 153 points.

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The total number of condensed milk required is 8/3=2 2/3.

The total number of pan is 4

The condensed milk required for each pan is 2/3

The pieces of a whole are how fractions are described in mathematics. One or more objects may make up the whole. When we cut a piece of pizza in real life from the entire pizza, the part represents the percent of the pizza.

The total number of condensed milk is 4.  2/3=  8/3

For first pan let the measuring cup is 1/4  then the condensed milk is measured as

1/4  .  2/3  =1/6    

For second pan let the measuring cup is 1/2  , then the condensed milk is measured as

1/2  .  2/3  =    1/3

Hence the total number of condensed milk required is 2 2/3.

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The radius of the large circle would just be the diameter of one of the smaller circles, so 14 inches.

In order to solve this, we will need to find the area of the large circle and subtract the area of two smaller circles.

I'll be using pi as 3.14 for this.

Large Circle:

[tex]A = \pi r^{2}\\A = \pi (14)^{2}\\A = 196\pi \\A = 615.44[/tex]

Smaller Circle:

[tex]A = \pi r^{2}\\A = \pi (7)^{2}\\A = 49\pi \\A = 153.86[/tex]

Now we just simply subtract them.

615.44 - (2 * 153.86)

= 307.72 inches

You might've noticed that is exactly half of the area of the larger circle.

That's because if you halve the radius of a circle, you will get one fourth of original area.

The Total amount after 4 years will be $3000 and interest will be $500.

The rate at which you borrow or lend money is called the simple interest. If a borrower takes money from a lender, an extra amount of money is paid back to the lender. The borrowed money which is given for a specific period is called the principal. The extra amount which is paid back to the lender for using the money is called the interest.

You calculate the simple interest by multiplying the principal amount by the number of periods and the interest rate. Simple interest does not compound, and you don’t have to pay interest on interest. In simple interest, the payment applies to the month’s interest, and the remainder of the payment will reduce the principal amount.

The simple interest calculation's mathematical formula:

A = P (1+rt)

P = Principal Amount

R = Rate of interest

t = Number of years

A = Total accrued amount (Both principal and the interest)

Interest = A – P.

Total amount after 4 years

⇒ $2,500 (1+5%×4)

⇒ $2,500 ×1.2\

⇒ $3000

interest= $3000 - $2,500=  $500.

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It is very less possibilities that the first half of the terms are either all 0's or all 1's.

According to the question, the probability to toss the coins which are marked as 0 or 1 is: 2

And the getting favorable outcomes that is 0 or 1: 1

Therefore, the probability for the given possibility is written as:

P(A) = n(A)/n(S) = 1/2

Hence, for infinite times, it is the half of the possibilities that the first half is either 0 or 1.

What is probability?

Probability can be defined as the outcomes which can be predicted or which can be calculated. It is the ratio of the total number of the favored outcomes to the total number events. The value of the probability is always less than1.

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Answer:Ok i will help you out

-11/4n - 1/8

Step-by-step explanation:

Cause yes and most likely is it

Source: Trust me + I did the math(dunno correct) just try tho

Aryl has to return $8484.944 after 6 years

Simple interest is interest that is only based on the borrowed or deposited principal. The principal payment is multiplied by the interest rate, and the time factor is then included. Due to the fact that simple interest does not compound over time, investments grow more slowly.

P = $5876

R = 7.4 %

T = 6 years

S I =  P x R x T / 100

       = 5876 x 7.4 x 6 / 100

       = $2608.944

amount to be paid = 5876 + 2608.944

                               = $8484.944

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Answer:

5

Step-by-step explanation:

564 is divided by 3 = 4

Domain and range of [f(x) =-2(x+3)2 -5] are as follows: x in RR, y in [-∞, -5].

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f are contained in this collection (x). A function's range is the range of values that it can accept as input. The function produces this list of values once we enter an x value.

according to given information;

This is a polynomial of degree 2, "domain is x in RR," and "to determine the range, we require the vertex and if maximum" or "minimum turning point," the equation of the polynomial's vertex and range."" a parabola in "color(blue)"vertex form" is.

•(x)y=a(x-h)²+k

"where "(h,k)" are the coordinates of the vertex and a"

"is a multiplier"

f(x)=-2(x+3)²-5" is in this form"

"with "(h,k)=(-3,-5)" and "a=-2

"since " a <0" then maximum turning point"

"range is "y in(-oo,-5]

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Answer:

C

Step-by-step explanation:

The range is the set of y values.

Answer:

Step-by-step explanation:

So lets turn this into a ratio

-252/84

so now we need to know

y/74

So, -252/84= -3

so y/74 needs to be equal to -3

74*-3 =  222

-222/74=-3

So our answer is y = -222

Hope this helps!!^^

The function f(d) that models this discount on an item that costs d dollars is f(d) = d - 15

The given parameters are

Discount = $15

Value = d

The function f(d) that models this discount on an item that costs d dollars is

f(d) = Value - Discount

This gives

f(d) = d - 15

Hence, the function f(d) that models this discount on an item that costs d dollars is f(d) = d - 15

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The measure of the angles shown is 90 degrees

A line is defined as the shortest distance between two points while the point where two lines meet is known as an angle.

From the given diagram, the sum of both adjacent angles is supplementary to have:

x + 96 + 96 + x = 180

2x + 192 = 180

2x = 180 - 192

2x = -12

x = -6

Substitute the value of x into the expression

<d = x + 96

<d = -6 +96

<d = 90 degrees

Hence the measure of the angles shown is 90 degrees

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Answer: 4

Step-by-step explanation:

f(x)=|x-5|

g(x)=-x-5

f(g(-6))=

f(-(-6)-5)=

f(6-5)=

f(1)=

|1-5|=

|-4|=4

The correct option a. No, because the probabilities P(E) and P(F) add up to more than 1.

For the given condition;

P(E) = P(F) = 0.7

the sum of both will be.

P(E) + P(F) = 1.4

But, we know that probability can never be more than 1.

Thus, there must be some elements which are common in both sets, which makes the set disjoint.

Thus, events E and F are not disjoint events.

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