Given that tanx = 8 and sinx is positive, determine sin(2x), cos(2x), and tan(2x). Write the exact answer. Do not round.

Therefore, Kallie will need to use a total of 6 teaspoons of water conditioner for all the water in 12 fish tanks.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign, with the expression on the left being equal to the expression on the right. Equations are used to represent various relationships and situations in mathematics and other fields, and are solved to find the values of variables that make the equation true.

Here,

First, we need to determine the total amount of water in all 12 fish tanks. Since each fish tank is filled with 20 quarts of water, the total amount of water in all 12 fish tanks is:

12 fish tanks * 20 quarts per fish tank = 240 quarts of water

To convert quarts to gallons, we divide by 4 (since there are 4 quarts in a gallon):

240 quarts / 4 quarts per gallon = 60 gallons of water

Now, we can use the given conversion factor to determine how many teaspoons of water conditioner are needed for 60 gallons of water. Since for every 10 gallons of water, Kallie uses 1 teaspoon of water conditioner, for 60 gallons of water, she will use:

60 gallons / 10 gallons per teaspoon = 6 teaspoons of water conditioner

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Answer: B i think

Step-by-step explanation:

A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.

The R-squared value for the regression equation is 0.914.

The R-squared value for the regression equation is 0.914, which indicates that approximately 91.4% of the variance in the dependent variable (the total amount of money spent) can be explained by the independent variable (the number of people).

This is a very high value, which indicates that the relationship between the two variables is strong, and that the regression model fits the data very well.

Therefore, the R-squared value for the regression equation is 0.914.

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Answer:

x= -4

y= 3

Step-by-step explanation:

I hope this helps

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.

For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.

Point of view:

Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!

:)

Answer:

the correct answer is -1/16 i believe

Answer:

y=-2x+12

Step-by-step explanation:

Count how much the y raises for each x through division for the slop, and then plug that in to the x on either one of the pairs to get the number, and then add or subtract whatever the actual y is to get the y intercept.

Answers:

Each count above refers to the number of baskets made for the given player.

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

Explanation:

For each player, let the following variables represent how many baskets were made

So for example, if D = 10, then this means Daniel made 10 baskets. Though for now, we're not sure what number replaces D or any given letter.

------------------

"Daniel remembers that he made three times as many baskets as Ben" tells us that D = 3B is one equation

We know another equation is M = B+6 since Max made six more baskets than Ben

Another equation is C = T because these two students (Christion and Mitchell) made the same number of baskets.

We also know that T < B since Mitchell made fewer baskets compared to Ben.

Altogether the boys made 40 baskets total, so B+M+T+C+D = 40

-------------------

We have these five mathematical statements

Let's focus on the last equation

B+M+T+C+D = 40

B+M+T+C+3B = 40 .... plug in D = 3B

4B+M+T+C = 40

4B+M+T+T = 40 .... plug in C = T

4B+M+2T = 40

4B+B+6+2T = 40 .... plug in M = B+6

5B+6+2T = 40

5B+2T = 40-6

5B+2T = 34

Now let's solve for T

5B+2T = 34

2T = 34-5B

2T = -5B+34

T = (-5B+34)/2

T = (-5B)/2 + 34/2

T = -2.5B + 17

----------------------------------

We've eliminated everything but two variables at this point.

Let's say that x replaced B and y replaces T

We get the equation y = -2.5x + 17

If you graph this equation along with y = x, you'll find that the two equations intersect at roughly (4.857, 4.857)

Since we want T < B, this means we want y < x to be the case. The line y = -2.5x+17 goes downhill as we move from left to right. If x is smaller than 4.857, then x >= y. Otherwise, if x is larger than 4.857, then y < x

Furthermore, looking at a table of values for this equation shows that only (x,y) = (6,2) is a point on y = -2.5x+17 such that both x and y are positive and x is the larger value, and they are both integer coordinates.

All of this means that when B = 6, this pairs with T = 2. No other number pair is possible for these two students.

We then use this to find the other player's basket count

----------------------------------

So we have the following results

As a check,

B+M+T+C+D = 6+12+2+2+18 = 40

which confirms our answers.

9514 1404 393

Answer:

Step-by-step explanation:

Let x and y represent baskets made by Ben and Mitchell, respectively. Then Daniel made 3x baskets, Max made (x+6) baskets, and Christion made y baskets. The total number is ...

  x + 3x +(x+6) +y +y = 40

  5x +2y = 34 . . . . . . . . . . . subtract 6

The other constraint on the solution is ...

  y < x . . . . . . . . . Mitchell made fewer baskets than Ben

__

We can see that 34 differs from a multiple of 5 by an even number, so (by inspection) we determine that (x, y) = (6, 2) is a solution to the equation. (It is also a solution to the inequality.)

Other possible solutions will require y increase by 5 as x decreases by 2, so those are ...

  (x, y) = {(6, 2), (4, 7), (2, 12), (0, 17)}

The only (x, y) pair that satisfies the inequality is the first one: (x, y) = (6, 2). Hence the numbers of baskets are ...

5 possibilities (red, blue, green, pink, or grey) divided by 2 options (desktop or laptop) is 10. Andrés has ten options for purchasing the computer.

The likelihood or chance of an event occurring is measured by probability. It is a number between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty for the event.By dividing the entire number of possible outcomes by the number of ways an event could occur, one can determine the probability of an occurrence. Since there is only one way to roll a 3 out of six possible outcomes, the probability of rolling a 3 on a fair six-sided die is 1/6. Probability can be used to assess uncertainty surrounding an occurrence and create predictions. It is utilised in a variety of industries, including banking, science, engineering, mathematics, and statistics.

given

Andrés can either get a desktop computer or a laptop. He has five options for the colour of the computer for each selection.

As a result, Andrés has the following options for purchasing the computer:

5 possibilities (red, blue, green, pink, or grey) divided by 2 options (desktop or laptop) is 10. Andrés has ten options for purchasing the computer.

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The complete question is:-  Andrés wants to buy a computer and finds that there is a desktop and a laptop with the colors red, blue, green, pink and gray. How many ways will Andrés have to buy the computer?

Answer:

32.5

Step-by-step explanation:

Mean = Sum of observations / Total number of observations

Mean = 2+43+67+18 / 4

Mean = 130/4

Mean = 32.5

Answer:

Given data:

2,43,67,18

summation FX=130

N(total number of items)=4

Now,

Mean:

\( \frac{summation \: fx}{n} \\ = \frac{130}{4} \\ = 32.5\)

Hope this helps..

Answer: 1.   1/15

              2.    3/10

               3.    1/6

             4.   3/10

Step-by-step explanation:

Hope this helps!

The area of the enclosed shape is about 14.47 km^2.

We are given that;

056° for 9.8km and  3.5 km on a bearing of 112°

Now,

We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:

y = 180° - 56° - 112°

y = 12°

Now we can use the cosine rule to find z:

z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)

z^2 ≈ 101.87

z ≈ 10.09

Therefore, Fred is about 10.09 km away from his start point.

To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:

sin(56°) = x/9.8

x = 9.8 sin(56°)

x ≈ 8.27

The area of a triangle is given by half the base times the height, so:

A = (1/2)(3.5)(8.27)

A ≈ 14.47

Therefore, by trigonometric ratios the answer will be 14.47 km^2.

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The Fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.

The container is made up of two substances: water and oil. We know that the container has 1/4 water and 1/3 oil. This means that the remaining space in the container is made up of neither water nor oil, i.e., empty space.

To find the fraction of empty space, we need to add the fractions of water and oil together and subtract them from 1. This is because the sum of the fractions of water, oil, and empty space must equal 1, which represents the total volume of the container.

The fraction of water in the container is 1/4, and the fraction of oil is 1/3. Therefore, the fraction of the container that is not empty is:

1/4 + 1/3 = 3/12 + 4/12 = 7/12

To find the fraction of empty space, we subtract this fraction from 1:1 - 7/12 = 5/12

Therefore, the fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.

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Step-by-step explanation:

2√8 • 4√8 • 6√3

Let's break the surd form:

√8 is a surd but can be broken down into 2√2(how did i get 2√2 let's take a look)

√8=[√4×√2)

Note:To break down a surd you must first check is the number can have a number which has a square root example:-simplify √32 to its lowest term.

√32 has factors of 1,2,4,8,16 and 32

if you carefully observe these numbers there is 3 numbers that are a perfect squares{4,8,16}

in surd we can only use two numbers lets try 4 and 8

√32=√4×√8 (8 has factors of 1,2,4,8)

√32=2× √2×√4

√32=2×√2×2

√32=2×2×√2

√32=4√2

now back to the question

2√8×4√8×6√3

2(√2×√4)×4(√2×√4)×6√3

2(√2×2)×4(√2×2)×6√3

2(2√2)×4(2√2)×6√3

4√2×8√2×6√3

when multiply in surd form make sure that the surd have at least a similar surd number example 2√2×4√2=2×2×(√2)²

=4×2

=8

let's rewind at the question

4×8(√2)²×6√3

32×2× 6√3

64×6√3

384√3

i hoped i helped and if you like the answer pls mark it as brainliest

Answer:

B

Step-by-step explanation:

As said in B, use the vertical line test. For any vertical line, does it hit the graph in two points? No. Therefore, the answer is B.

This particular function is f(x)=x^2.

Hope that helped,

-sirswagger21

Answer:

Yes is passes the vertical line test

Step-by-step explanation:

This parabola is a function. it has a one to one correspondence and passes the vertical line test

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

3kK+2K+12k+8

Step-by-step explanation:

Answer:

k3-k4

Step-by-step explanation:

The geometric sequence is given by:

where:

a = first term of the sequence

r = common ratio

so:

The experiment is not a binomial experiment.

A binomial experiment is an experiment where there is a fixed number of trials, and the results are usually between two options- a yes or a no.

The conditions for a binomial experiment include:

1. Each trial should be classified either as a success or a failure.

2. There are a fixed number of observations

3. The trials are independent.

4. The number of trials are fixed.

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Answer:

5 : 2

Step-by-step explanation:

40:16

Divide each side by 8

40/8:16/8

5 : 2

Answer:

5 :2

Step-by-step explanation:

40 : 16

= 40/16

= 4*10 / 4*4

= 10/4

= 5*2 / 2*2

=5/2

Answer:

A. True.

Step-by-step explanation:

To get the standard error of the mean, you need to do the sample standard deviation over the square root of the number of samples, n.

In this case, n = 100. The standard deviation is 12. To get the SAMPLE standard deviation, you do the population standard deviation over the square root of n. That is 12 / sqrt(100) = 12 / 10 = 1.2.

So, to get the standard error: 1.2 / sqrt(100) = 1.2 / 10 = 0.12.

The standard error of the mean is, indeed, 0.12, so the statement is A. True.

Hope this helps!

The domain of the relation is the set of all the first components of the ordered pairs, which in this case is the set {-4, -9, -4, 8}. The range of the relation is the set of all the second components of the ordered pairs, which in this case is the set {2, -5, 12, -8}.

Therefore, the domain of the relation is {-4, -9, -4, 8} and the range of the relation is {2, -5, 12, -8}.

Answer:

Domain: -4, -9, -4, 8

Range: 2, -5, 12, -8

Step-by-step explanation:

Domain represents the independent variables, or the x coordinates

Range represents the dependent variables, or the y coordinates

The x coordinates or domain in this relation are:

-4, -9, -4, 8

The y coordinates or range in this relation are:

2, -5, 12, -8

The value of the test statistic is mathematically given as

\(z=-11.06754214\)

Question Parameters:

Fewer than 92​% of adults have a cell phone

In a reputable poll of 1113 ​adults, 83% said that they have a cell phone.

Generally, the equation for the Test statistic for a population proportion  is mathematically given as

\(z=\dfrac{p-p}{\sqrt{\dfrac{p(1-p)}{n} }}\)

Therefore

\(z=\dfrac{0.83-0.92}{\sqrt{\dfrac{0.92(1-0.92)}{1113} }}\)

\(z=-11.06754214\)

In conclusion,  the value of the test statistic is

\(z=-11.06754214\)

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Answer:

a. 1/3

Step-by-step explanation:

enginuity

Answer:

It is 3/2

Step-by-step explanation:

Edg

Answer:

49 minutes

Step-by-step explanation:

To find the average time the machine was down per day, we need to add up the total time taken and then divide by the number of days. Since there are 5 days, we have:

\(\frac{50 + 30 + 100 + 25 + 40}{5}\)

\(= \frac{245}{5}\)

= 49

So, the average time per day is 49 minutes.

Hope this helped! :)

The difference in salary will be $71,250.

What is multiplication in mathematics?

Multiplication is a mathematical operation that is used to find the product of two or more numbers. It is usually represented by the symbol "x" or "*", and is often referred to as repeated addition.

Career Preparation and Development (Career SMART Goals) worth 50 points.

Denise Diligence scored 95/100 on all of the assignments and reports, so she earned a total of 47.5 points.

Since each point earned will result in a $1500 increase in salary 20 years from now, Denise's salary will be $1500 x 47.5 = $71,250 higher than Slacker's.

Sam Slacker did not complete any of the career smart goals assignments and reports, so he earned a total of 0 points.

Hence, the difference in salary will be $71,250.

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The answers are given below:

a) A ∪ B = {1, 2, 3, 4, 6}

b) A ∩ B = {2}

c) Bc = {1, 3, 5}

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that a number cube with faces labelled 1 to 6 is rolled once. The number rolled will be recorded as the outcome.

A number cube with faces labelled 1 to 6.

Therefore the set of all possible outcomes is {1, 2, 3, 4, 5, 6}.

Event A

The number rolled is even.

Therefore, the set of outcomes for event A is {2, 4, 6}.

Event B

The number rolled is less than 4.

Therefore, the set of outcomes for event B is {1, 2, 3}.

Part (a)

Event "A or B" means the outcomes in A or B or both.

\(\Rightarrow \text{A} \cup \text{B} = \{1,2,3,4,6\}\)

Part (b)

Event "A and B" means the outcomes in both A and B.

\(\Rightarrow \text{A} \cap \text{B} = \{2\}\)

Part (c)

The complement of event B means everything that is not in B.

\(\Rightarrow \text{B}\text{c} = \{1,3,5\}\)

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Answer:

3y +6

Step-by-step explanation:

8y + 10 − 4 − 5y

Combine like terms

8y-5y   +10-4

3y +6

Answer:

3y+6

Step-by-step explanation: