(-9,-4)Trig: the point is on the terminal side of an angle in standard position. Find the exact values of the six trigonometric functions of the angle.Sin(0) =Cos(0)=Tan(0)=Csc(0)=Sec(0)=

Answer:

z=3 because in the 2(z+3) is like (z+2)+(z+6)

The movie gross is $701

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total amount earned from the movie and the sequel = $1518

Amount earned from the movie = x

Amount earned from the sequel = x + $116

Now,

x + (x + 116) = 1518

2x + 116 = 1518

2x = 1518 - 116

2x = 1402

x = 1402/2

x = 701

Now,

x = $701

x + 116 = 701 + 116 = $817

Thus,

The movie gross is $701

The sequel gross is $817

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Answer:

y=6x-24

Step-by-step explanation:

I put it into point slope form first.

y--6=6(x--5)

y+6=6(x+5)

y+6=6x+30

y=6x-24

Traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Earth to Mars is compared to traveling from Earth to the moon, we need to calculate the difference between the distances.

The distance from Earth to the moon is approximately 3.74 x 10^5 km.

The distance from Earth to Mars is approximately 9.25 x 10^7 km.

To find the difference, we subtract the distance to the moon from the distance to Mars:

9.25 x 10^7 km - 3.74 x 10^5 km

To subtract these numbers, we need to make sure the exponents are the same. We can rewrite the distance to the moon in scientific notation with the same exponent as the distance to Mars:

3.74 x 10^5 km = 0.374 x 10^6 km (since 0.374 = 3.74 x 10^5 / 10^6)

Now we can perform the subtraction:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 km - 0.374 x 10^6 km

To subtract, we subtract the coefficients and keep the same exponent:

9.25 x 10^7 km - 0.374 x 10^6 km = 9.25 x 10^7 - 0.374 x 10^6 km

Simplifying the subtraction:

9.25 x 10^7 - 0.374 x 10^6 km = 9.249626 x 10^7 km

Therefore, traveling from Earth to Mars is approximately 9.249626 x 10^7 km farther than traveling from Earth to the moon.

Scientific notation is a convenient way to express very large or very small numbers. It consists of a coefficient (a number between 1 and 10) multiplied by a power of 10 (exponent). It allows us to write and manipulate such numbers in a compact and standardized form.

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Answer:

Nina has been in her book club for 7 months.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

i counted by 6 untilli got 42

Answer:

The first one

Step-by-step explanation:

She cant buy anything over $15, but she can buy something thats $15 :))

Answer:

64

Step-by-step explanation:

if regular x =116

then plug it in 116-52=64

Answer:

A. 549.5

Step-by-step explanation:

The value of x is -1 which makes the model true

The equation from the given model will be 5x+6=1

We have to find the value of x

5x+6=1

Subtract 6 from both sides

5x=-5

Divide both sides by 5

x=-1

Hence, the value of x is -1 which makes the model true

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Rounded to the nearest dollar, the average daily balance of the credit card for the August 1 through August 31 billing period is $74.

To find the average daily balance of the credit card for the August 1 through August 31 billing period, we need to calculate the sum of the daily balances and divide it by the number of days in the billing period.

Let's calculate the daily balances for each day:

Day 1: Closing Balance = $850

Day 8: Closing Balance = $300

Day 16: Closing Balance = $500

Day 24: Closing Balance = $650

To calculate the daily balances, we need to consider the activities that occurred on each day.

On Day 1, there was no activity recorded, so the closing balance remains at $850.

On Day 8, a payment of $550 was made. Therefore, the closing balance is $850 - $550 = $300.

On Day 16, a purchase of $200 was made. Therefore, the closing balance is $300 + $200 = $500.

On Day 24, a purchase of $150 was made and an adjustment of $4 was applied. Therefore, the closing balance is $500 + $150 - $4 = $650.

Now, let's calculate the average daily balance:

Sum of daily balances = $850 + $300 + $500 + $650 = $2300

Number of days in the billing period = 31

Average daily balance = Sum of daily balances / Number of days = $2300 / 31 ≈ $74.19

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Answer:

The equation it gives you.

Step-by-step explanation:

For example you could solve for x or a inequality maybe even a trial.

Mr.West ate 23 ounces of grapes in 11 days by eating 2 1/11 ounces of grapes each day.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Mr.West ate grapes for 11 days. He ate 2 1/11 ounces of grapes each day.

Therefore, The total number of grapes Mr.West ate is,

= 11×(2 1/11) grapes.

= 11×(23/11) grapes.

= 23 grapes.
So, He ate 23 ounces of grapes in 11 days.

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The scatter plot represents the monthly sales and the trend line that best fits the data is that of the line in graph four. Hence option D is correct.

A scatter plot is also called a scattergraph and is similar to one graph. The scatter plot uses the X and Y-axis. The makes use of the point to present the individuals and these are useful to see if the individual pieces of data fit into the graph being depicted these are useful for two variables and help to state the relation.

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Answer:

D

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

15/3=5

Answer:
\(3x-2+\frac{5}{x}\)

Step-by-step explanation:

To divide the polynomial (9x^3 - 6x^2 + 15x) by the monomial 3x^2, we can write it as:

(9x^3 - 6x^2 + 15x) ÷ (3x^2)

To simplify the division, we divide each term of the polynomial by 3x^2:

(9x^3 ÷ 3x^2) - (6x^2 ÷ 3x^2) + (15x ÷ 3x^2)

To divide monomials with the same base, we subtract the exponents. So:

9x^3 ÷ 3x^2 = 9/3 * (x^3/x^2) = 3x^(3-2) = 3x

(-6x^2) ÷ (3x^2) = -6/3 * (x^2/x^2) = -2

15x ÷ 3x^2 = 15/3 * (x/x^2) = 5/x

Putting it all together, we have:

(9x^3 - 6x^2 + 15x) ÷ (3x^2) = 3x - 2 + 5/x

Therefore, the division of (9x^3 - 6x^2 + 15x) by 3x^2 is 3x - 2 + 5/x.

Answer:

3/4

Step-by-step explanation:

12/16

divide both by 4

if thats even what what you needed

To find the total weight of the books, you can multiply the weight of each book by the total number of books.Each book weighs 5/8 pound, and Jada has 6 of them, so:Total weight = 5/8 * 6

Total weight = 30/8

Total weight = 15/4Therefore, the books altogether weigh 15/4 pounds, or 3 and 3/4 pounds.

Answer: (2, -5) (light blue answer choice)

Solving by substitution

−7x+y=−19;−2x+3y=−19

−7x+y+7x=−19+7x (Add 7x to both sides)

y=7x−19

Step: Substitute7x−19 for y in −2x+3y=−19:

−2x+3y=−19

−2x+3(7x−19)=−19

19x−57=−19 (Simplify both sides of the equation)

19x−57+57=−19+57 (Add 57 to both sides)

19x=38

19x/19 = 38/19 (Divide both sides by 19)

x=2

Step: Substitute 2 for x in y=7x−19:

y=7x−19

y=(7)(2)−19

y= −5 (Simplify both sides of the equation)

Therefore: x = 2 and y = −5

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

Explanation:

Ignoring the variables for now, the GCF of 18 and 12 is 6. This is the largest factor found in both values

Now let's consider the variables. Both terms have an 'x' in them, but not a y. This means x will be tacked on the 6 we found earlier to get the overall GCF to be 6x.

Note how

18x + 12xy = 6x*3+6x*2y = 6x(3+2y)

Showing we can factor out the GCF using the distributive property.

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Answer:

$2.20

Step-by-step explanation:

Original price (before discount and before tax): $5

Discount is 60%.

Amount of discount is: 60% of $5 = 0.6 × $5 = $3

Price after 60% discount: $5 - $3 = $2

Tax is 10%.

Amount of tax is: 10% of $2 = 0.1 × $2 = $0.20

Final price = price after discount + tax = $2.00 + $0.20 = $2.20

A percentage is a way to describe a part of a whole. The final price of the candy, including the discount and a 10% sales tax is $2.2.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the cost of the candy is $5 and a 60% discount is given on the candy. Therefore, the price of the candy after the discount will be,

Discounted price = Price - 60% of price

                             = $5 - 0.60($5)

                             = $5 - $3

                             = $2

Now, on the price of the candy 10% sales tax will be added. Therefore, the Price of the candy after adding Tax will be,

Taxed price = Discounted price + 10% of discounted price

                    = $2 + 0.10($2)

                    = $2 + $0.2

                    = $2.02

Hence, the final price of the candy, including the discount and a 10% sales tax is $2.2.

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The volume of the solid is equal to the integral of the area of the semi-circular cross sections multiplied by the length of the interval. The area of the semi-circular cross sections is equal to πr²/2, where r is the diameter running from y. Therefore, the volume is equal to π/2∫0,9r²dy.

Step 1: Substitute the expression for the area of the semi-circular cross section into the equation for the volume of the solid:

V = π/2∫0,9r²dy

Step 2: Integrate the equation to find the volume of the solid:

V = π/2[y³/3]|0,9

Step 3: Evaluate the integral:

V = π/2(9³/3 - 0³/3)

step 4: Solve for the volume of the solid:

V = 7π/2

The volume of the solid is equal to the integral of the area of the semi-circular cross sections multiplied by the length of the interval. The area of the semi-circular cross sections is equal to πr²/2, where r is the diameter running from y. Therefore, the volume is equal to π/2∫0,9r²dy. To calculate the volume, we must first substitute the expression for the area of the semi-circular cross sections into the equation for the volume of the solid: V = π/2∫0,9r²dy. Then, we must integrate the equation to find the volume of the solid: V = π/2[y³/3]|0,9. After that, we must evaluate the integral: V = π/2(9³/3 - 0³/3). Finally, we must solve for the volume of the solid: V = 7π/2. The answer is the volume of the solid is 7π/2.

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Answer:

1/4 should be the answer

Step-by-step explanation:

I hope this helps

The probability mass function of the sample mean of x1, ... , xn, then the

Expectation \(E[X]\) = 1 and Variance \(Var[X]\) = 4.9

To find the expected value, E(X), or mean μ of a discrete random variable X, simply multiply each value of the random variable by its probability and add the products. The formula is given as E(X)=μ=∑xP(x).

var(X)=∑(x−μ)2pX(x), where the sum is taken over all values of x for which pX(x)>0. So the variance of X is the weighted average of the squared deviations from the mean μ, where the weights are given by the probability function PX(x) of X.

Given that,

The probability mass function of the sample mean of x1, ... , xn,

p{x = 0} = 0.2, p{x = 1} = 0.3, p{x = 3} = 0.5

when (a) n = 2; (a) n = 3

Expectation is defined as

\(E[X]\) = ∑ˣ \(x P(X =x)\)

We have

\(E[X]\) = ∑   \(x P(X =x)\)

           \(x\)∈(2,3)

\(E[X]\) = \(P(X =0)+2P(X=1)+3P(X=3)\)

\(E[X]\) = 0.2 + 0.3 + 0.5

\(E[X]\) = 1

Variance is defined as

\(Var[X]\) = E[(X-\(E[X]^{2}\)]

\(Var[X]\) = \(E[X^{2}]\) - \((E[X])^{2}\)

We get

\(E[X]^{2}\) = \(1^{2} P[X=0]+2^{2} P[X=1]+3^{2} P[X=2]\)

\(E[X]^{2}\) = 0.2 + 4(0.3) + 9(0.5)

\(E[X]^{2}\) = 0.2 + 1.2 + 4.5

\(E[X]^{2}\) = 5.9

Variance is defined as

\(Var[X]\) = \(E[X^{2}]\) - \((E[X])^{2}\)

\(Var[X]\) = 5.9 - \(1^{2}\)

\(Var[X]\) = 5.9 - 1

\(Var[X]\) = 4.9

Therefore,

The probability mass function of the sample mean of x1, ... , xn, then the

Expectation \(E[X]\) = 1 and Variance \(Var[X]\) = 4.9

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The ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) do not correspond to the intervals where the graph of f(x) is decreasing. The pairs (1, -2) and (-3, -18) are the correct ones.

To determine where the graph of f(x) is decreasing, we need to examine the intervals where the function's derivative is negative. The derivative of f(x) is given by f'(x) = -3x^2 - 8x + 3.

Now, let's evaluate f'(x) for each of the given x-values:

f'(-1) = -3(-1)^2 - 8(-1) + 3 = -3 + 8 + 3 = 8

f'(2) = -3(2)^2 - 8(2) + 3 = -12 - 16 + 3 = -25

f'(0) = -3(0)^2 - 8(0) + 3 = 3

f'(1) = -3(1)^2 - 8(1) + 3 = -3 - 8 + 3 = -8

f'(-3) = -3(-3)^2 - 8(-3) + 3 = -27 + 24 + 3 = 0

f'(-4) = -3(-4)^2 - 8(-4) + 3 = -48 + 32 + 3 = -13

From the values above, we can determine the intervals where f(x) is decreasing:

f(x) is decreasing for x in the interval (-∞, -3).

f(x) is decreasing for x in the interval (1, 2).

Now let's check the ordered pairs in the table:

(-1, -6): Not in a decreasing interval.

(2, -18): Not in a decreasing interval.

(0, 0): Not in a decreasing interval.

(1, -2): In a decreasing interval.

(-3, -18): In a decreasing interval.

(-4, -12): Not in a decreasing interval.

Therefore, the ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) are not located in the intervals where the graph of f(x) is decreasing. The correct answer is: (1, -2), (-3, -18).

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Note the complete and the correct question is

Q- Consider the function below, which has a relative minimum located at (-3, -18) and a relative maximum located at 1/3, 14/27).

\(f(x) = -x^3 - 4x^2 + 3x\).

Select all ordered pairs in the table which are located where the graph of f(x) is decreasing: Ordered pairs: (-1, -6), (2, -18), (0, 0),(1 , -2), (-3 , -18), (-4. , -12)

Answer:

30

Step-by-step explanation:

hope it helps <3