How do I this math problem? If tan8 theta = cot 7 theta then theta =?

Answer:

-8.8

Step-by-step explanation:

First step:

plug in the r so that 21+1/5(-1/2)

second step:

solve the problem so that the problem is now 22/-2.5

third step:

finally you then have to divide 22/-2.5 which is equal to -8.8

hope this helps :)

Answer:

\(\large\boxed{x = 7}\)

Step-by-step explanation:

3x - 2(x + 3) = 4x - 9 - x

Start by multiplying 2 by the values in the parenthesis

3x - 2x + 6 = 4x - 9 - x

Subtract 3x - 2x and 4x - x

x + 5 = 3x - 9

Add 9 to both sides of the equation

x + 14 = 3x

Subtract x from both sides of the equation

14 = 2x

Divide both sides of the equation by 2

\(\large\boxed{x = 7}\)

Hope this helps :)

Answer:

-2/5 -4/3 p and -4/3p+ (-2/5)

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given data

STEP 2: Arrange in ascending order

STEP 3: find the 75th percentile

Hence, the 75th percentile is 2.325

The income elasticity of demand is positive, implying that chocolate is a normal good = 0.037

The demand function, Q = 54−5P + 4PA + 0.1Y.

Where Q is the quantity of chocolate demanded, P is the price of chocolate, PA is the price of an apple, and Y is income.

(i) The own-price elasticity of demand for chocolate, we first need to find the expression for it.

The own-price elasticity of demand can be expressed as:

Own-price elasticity of demand = (Percentage change in quantity demanded) / (Percentage change in price)Or,E

P = (ΔQ / Q) / (ΔP / P)E P = dQ / dP * P / Q

Let's calculate the own-price elasticity of demand:

EP= dQ / dP * P / Q= (-5) / (54 - 5P + 4PA + 0.1Y) * 3 / 30

= -0.1667

So, the own-price elasticity of demand for chocolate is -0.1667.

(ii) The cross-price elasticity of demand, we must first determine the expression for it.

The cross-price elasticity of demand can be expressed as:

Cross-price elasticity of demand

= (Percentage change in quantity demanded of chocolate) / (Percentage change in price of apples) Or, E

PA = (ΔQ / Q) / (ΔPA / PA)E PA = dQ / dPA * PA / Q

Let's calculate the cross-price elasticity of demand:

EP = dQ / dPA * PA / Q= (4) / (54 - 5P + 4PA + 0.1Y) * 2 / 30= 0.0296

So, the cross-price elasticity of demand is 0.0296.

(iii) The income elasticity of demand can be expressed as:

Income elasticity of demand = (Percentage change in quantity demanded) / (Percentage change in income)Or,E

Y = (ΔQ / Q) / (ΔY / Y)E Y = dQ / dY * Y / Q

Let's calculate the income elasticity of demand: EY = dQ / dY * Y / Q= (0.1) / (54 - 5P + 4PA + 0.1Y) * 100 / 30

= 0.037

The own-price elasticity of demand is negative, meaning that the quantity demanded of chocolate decreases when the price of chocolate increases.

The cross-price elasticity of demand is positive, indicating that chocolate and apples are substitute goods.

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Answer:

x=1, y=1.

Step-by-step explanation:

From the second equation:

x = 8 - 7y, so substituting for x in the first equation:

3/8(8 - 7y) + 1/3y = 17/24

3 - 21/8 y + 1/3y = 17/24

1/3y - 21/8y = 17/24 - 3

Multiply through by 24:

8y - 21*3 y = 17 - 72

8y - 63y = -55

-55y = -55

y = 1.

And  substituting for y in the second equation:

x + 7(1) = 8

x = 8 - 7

x =  1.

The remaining angles of triangle are A = 40.8° ,B = 60.6° , C = 78.6°

To determine the remaining angles of a triangle with sides a = 6, b = 8, and c = 9, we can use the Law of Cosines and the Law of Sines.

The Law of Cosines states that for any triangle with sides a, b, and c and angles A, B, and C, respectively:

\(c^2 = a^2 + b^2 - 2ab*cos(C)\)

Using the given side lengths, we can calculate the value of cos(C):

\(c^2 = 6^2 + 8^2 - 2(6)(8)cos(C)\)

81 = 36 + 64 - 96cos(C)

81 = 100 - 96cos(C)

96cos(C) = 100 - 81

96*cos(C) = 19

cos(C) = 19/96

Using the inverse cosine function (cos^(-1)), we can find the measure of angle C:

C = \(cos^{-1}(19/96)\) = 78.6°

To find the measure of angle A, we can use the Law of Sines:

sin(A)/a = sin(C)/c

sin(A) = (asin(C))/c

sin(A) = (6sin(C))/9

Using the calculated value of angle C and substituting the side lengths, we can find sin(A):

sin(A) = \((6*sin(cos^{-1}(19/96)))/9\) = 40.8°

Finally, the measure of angle B can be determined by subtracting the measures of angles A and C from 180 degrees:

B = 180 - A - C = 60.6°

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Given:

Christopher scores 2 goals in a soccer game.

His goal total can vary from the average by 1 goal.

To find:

The absolute value equation can be used to calculate Christopher's maximum and minimum goals per game.

Solution:

Let Christopher scores x goals in a soccer game.

Then difference between actual goals and average goals is x-2.

His goal total can vary from the average by 1 goal.

Maximum number of goals = 2+1 = 3

Minimum number of goals = 2-1 = 1

It means, the difference between actual goals and average goals is either -1 and 1.

\(x-2=-1\)        ...(1)

\(x-2=1\)         ...(2)

Using (1) and (2),we get

\(|x-2|=1\)

Therefore, the correct option is C.

Given:

Quantity=3722 ; Total quantity=25746

Let the percentage be 'x'

14.5% of 25746 is 3722.

It is important to know that a decreasing line has a negative slope, as the image shows.

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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Answer:

C.¿Cuanto dinero hay al cabo de n anos

Answer:

(c) x = 15.26

Step-by-step explanation:

a² + b² = c²

8² + 13² = c²

64 + 169 = c²

c² = 233

c = 233 ½

c = 15.26

Answer:

5.26049171503e+40

Step-by-step explanation:

have a nice day :)  stay hydrated!

‧₊˚ ꒰ mei ꒱ ‧₊˚

The gradient vector field of function f(x,y) is given as follows:

grad(f(x,y)) = (1 + 9xy)e^(9xy) i + 9x²e^(9xy) j.

The gradient vector field of a function

Suppose that  a function defined as follows:

f(x,y).

The gradient function is defined considering the partial derivatives of function f(x,y), as follows:

grad(f(x,y)) = fx(x,y) i + fy(x,y) j.

The gradient of a function is a vector field. It is obtained by applying the vector operator V to the scalar function f(x, y). Such a vector field is called a gradient (or conservative) vector field.

In which:

fx(x,y) is the partial derivative of f relative to variable x.

fy(x,y) is the partial derivative of f relative to variable y.

The function in this problem is defined as follows:

f(x,y) = xe^(9xy).

The partial derivative relative to x  as follows:

fx(x,y) = e^(9xy) + 9xye^(9xy) = (1 + 9xy)e^(9xy).

The partial derivative relative to y  as follows:

fy(x,y) = 9x²e^(9xy).

Hence the gradient vector field of the function is defined as follows:

grad(f(x,y)) = (1 + 9xy)e^(9xy) i + 9x²e^(9xy) j.

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Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The Above ratio can be stated as :

There is 4 boys for every 5 girls in the class, Therfore the Correct choice is :

Answe        Step-by-step explanation:

46579765+4879+889 78+6565

Given:

The above expression can be expressed as,

Answer:

The answer is A

Step-by-step explanation:

good luck and your welcome

Answer:

70 percent

Step-by-step explanation:

first divide your part by your total: 28/40

then multiply the result by 100

so, 28/40=0.7. 0.7×100=70 percent

A)  The 95% confidence interval is:

     0.58 ± 0.062

B) At the 0.01 probability value, there is neither substantial evidence of a home-field  advantage in professional football (they won and over half of the games).

Now, According to the question:

A) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × \(\frac{\sqrt{pq} }{n}\)

Where:

z = The z score corresponds to the amount of confidence.

p = sample proportion.

q = probability of failure

q = 1 - p

p = x/n

Where

n = the number of samples

x = the number of success

From the information given,

n = 240

x = 138

p = 138/240 = 0.58

q = 1 - 0.58 = 0.42

To determine the z score,  The confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Thus,

1 - 0.025 = 0.975

The z -score associated with the area just on z table approximately 1.96. Therefore, the z score with a 95% confidence level is 1.96.

As a result, the 95% confidence interval becomes

0.58 ± 1.96√(0.58)(0.42)/240

Confidence interval is

0.58 ± 0.062

B) Earning more than half of the games equates to winning 120 games or more.

p = 120/240 = 0.5

The hypothesis test will be

For the null hypothesis,

P ≥ 0.5

For the alternative hypothesis,

P < 0.5

Probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 138

n = number of samples = 240

P = 138/240 = 0.58

We need to find the values of  the test statistic which will be the z score

z = (P - p)/√pq/n

z = (0.58 - 0.5)/√(0.5 × 0.5)/240 = 2.48

Remember that this is a two-tailed test. We would use the normal distribution table to calculate the probability potential of the property to the right of both the z score.

P value will be = 1 - 0.9934 = 0.0066

Since alpha, 0.01 > the p value, 0.0066, then we would reject the null hypothesis.

The given question is incomplete, The complete question is this:

__"During the 2000 season, the home team won 138 out of 240 regular season National Football League games. (15 points) a) Construct a 95% confidence interval for the winning proportion of the home team during this season. b) At the 0.01 significance level, is there strong evidence of a home field advantage (they win more than half of the games) in professional football? State hypotheses, calculate the test statistic and p-value, and make a conclusion in context"__

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Answer:

A and D

hope this helps :)

Step-by-step explanation:

The probability that the digit 7 doesn't appear among 100 digits is 9/10, or 90%.

The probability that the digit 7 doesn't appear among 100 digits where each digit is one of (0-9) and all sequences are equally likely is given by the probability that all 100 digits are chosen from the set {0, 1, 2, 3, 4, 5, 6, 8, 9}. There are 10 choices for each digit, so there are 10^100 possible sequences of 100 digits. The number of sequences that don't contain the digit 7 is 9^100. Therefore, the probability that the digit 7 doesn't appear among 100 digits is: P(7 doesn't appear) = (9^100) / (10^100) = 9 / 10

Therefore, the probability that the digit 7 doesn't appear among 100 digits is 9/10, or 90%.

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Step-by-step explanation:

AB and DC are parallel

AD and BC are parallel

It can't be a rectangle bcz sides AB and BC are not perpendicular to each other

It is recommended that a wager of $1,000 be placed on candidate B1 to win the national election so that the potential return can be maximised.

For each candidate, we first compute the probability of each result, and then we multiply that probability by the payout that corresponds to that outcome. This gives us the expected payoff for each candidate. The projected return for candidate A comes to 0.5 times $2,200, which equals $1,100. The estimated reward for candidate B1 is 0.5 times 0.8 times $2,000, which equals $800. In conclusion, the expected payment for selection B2 is half (0.5) times (0.2) times (10,000), which is $1,000.

According to these calculations, the expected return on investment for a wager placed on candidate A is $1,100, but the expected return on investment for a bet placed on candidate B1 is $800 and the expected return for candidate B2 is $1,000. Because we want to make sure that the amount of money we win is as big as possible, we should place our bets on candidate A, who has the potential to win us the most money. As a result, placing a wager of one thousand dollars on candidate B1 to win the national election is recommended.

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Ram will be 5 times as old as he is now after 8 years. Ram will be 10 times as old as he is now in 18 years hence.

To determine when Ram will be 10 times as old as he is now, let's first find out his current age.
The student question states that Ram will be 5 times as old as he is now after 8 years. Let's denote Ram's current age as "x" years.
Step 1: Write the equation to represent Ram's age 8 years from now.
In 8 years, Ram's age = 5 × (current age)
So, 5x = x + 8
Step 2: Solve the equation to find Ram's current age.
4x = 8
x = 2
So, Ram's current age is 2 years old.
Now, let's find how many years hence he will be 10 times as old as he is now.
Step 3: Write the equation to represent when Ram will be 10 times as old as he is now.
10 × (current age) = (current age) + (years hence)
10 × 2 = 2 + y (where y = years hence)
Step 4: Solve the equation to find the years hence.
20 = 2 + y
y = 18
So, Ram will be 10 times as old as he is now in 18 years hence.

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Answer:

982.5

Step-by-step explanation:

1 cm = 10 mm

98.25 cm * 10mm =

982.5