NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!

The value of x and y is 9√6/4 and 9√2/2 respectively.

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan(tetha) = opp/adj

The opposite is y and the hypotenuse is x

cos30 = adj/x

√3/2 = 9√2/x

x = 9√2 ÷ √3/2

x = 9/√2 × 2/√3

x = 9√3/2√2

x = 18√6/8

x = 9√6/4

sin30 = y/9√2

1/2 = y/9√2

2y = 9√2

y = 9√2/2

Therefore, the value of x and y is 9√6/4 and 9√2/2 respectively.

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Answer:

is y=x^2 a proportional relationship?

\({ \sf{yes. \: constant \: of \: proportionality = 1}}\)

is y=2+x a proportional relationship?

\({ \sf{no. \: unless \: y \: is \: proportinal \: to \: (2 + x)}}\)

is y=2/x a proportional relationship?

\({ \sf{yes. \: where \: proportianality \: constant \: is \: 2}}\)

is y=2x a proportional relationship?

\({ \sf{yeah. \: constant \: is \: 2}}\)

The probability of player 1 winning each comparison is 0.5, since each player has an equal chance of holding the higher number.

Probability is the measure of the likelihood that an event will take place. It is a quantitative description of an event's chances of occurring and is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur. Probability is used to make predictions and assess risk in many different areas, including finance, weather forecasting, game theory, insurance, and science. Probability theory is a branch of mathematics that deals with the analysis of random phenomena and is used to calculate the likelihood of various outcomes.

Therefore, the probability of player 1 winning a total of i comparisons is given by P(X = i) = (0.5)^i * (0.5)^(5-i) = (0.5)^5.

Therefore, P(X = i) = (0.5)^5 for all i = 0,1,2,3,4.

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The rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.

The mathematical concept of rate of change describes how much one quantity changes in relation to another. It is calculated as the difference between the change in the output (the dependent variable) and the change in the input (independent variable).

The rate of change, in other words, informs us of how quickly or slowly something is changing through time or in relation to another variable. When tracking the distance an automobile travels over time, for instance, the rate of change would be the car's speed, which is calculated as the distance traveled divided by the time required.

Slope, which is the ratio of the vertical change (rise) to the horizontal change (run) between two points on a graph, is a common way to depict the rate of change. The rate of change of the dependent variable with respect to the independent variable is depicted by the slope of a straight-line graph.

The rate of change in the total amount charged with respect to the time spent on the service call represents the slope of the graph. We can find the slope of the graph by taking any two points on the line and calculating the change in y (total amount) divided by the change in x (time spent on the service call).

Looking at the graph, we can choose two points: (2, 130) and (8, 370). The change in y is:

370 - 130 = 240

And the change in x is:

8 - 2 = 6

Therefore, the slope (rate of change) of the graph is:

240/6 = 40

So the rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.

Therefore, the correct option is $40 per hour.

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There are 4 cups of brown sugar are required for every 12 cups of white sugar.

A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:

2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar

To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:

2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar

24 cups brown sugar = 6x cups brown sugar

x = 24/6

x = 4

So, 4 cups of brown sugar are required for every 12 cups of white sugar.

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Janet has 630 options to customize a car based on the given features.

How to solve the question?

To determine the number of ways Janet can customize a car, we need to multiply the number of choices she has for each feature. Therefore, the total number of ways Janet can customize a car can be calculated as:

10 car models x 7 exterior colors x 9 interior colors = 630

Thus, Janet has 630 options to customize a car based on the given features.

It's worth noting that this calculation assumes that each feature (car model, exterior color, and interior color) can be combined with any other feature, without any restrictions or dependencies. However, in reality, certain car models may not be available in certain exterior or interior colors, or there may be other restrictions on the customization options.

Additionally, there may be other features that Janet can customize, such as the type of engine, transmission, or other options. Therefore, the total number of customization options may be even greater than what we have calculated here.

In summary, based on the given information, Janet has 630 ways to customize a car, but in reality, the actual number of options may be more limited or varied depending on other factors.

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Answer:

Hope you understand my writing!

Answer:

the answer is B.

Step-by-step explanation:

2.78778777 is an irrational number because it has endless numbers, and a irrational number can't be put as a fraction like rational numbers can.

hope this helps! sorry if i am incorrect! best of luck!! <3

answer

7

explain

multiple all of the

Answer:

10mph

keeping it short so you can ace your quiz :D

if this helps you, it would help me a lot if you could mark this as brainliest :)

A recording of $0 for the family simply means that they have not saved anything or have spent all the savings.

Savings simply means keeping of miney for a period of time in order to cater for future expenses. Saving is defined as income that is not spent or deferred consumption. Saving methods include putting money aside in a deposit account, a pension account, an investment fund, or as cash. Saving also entails lowering expenses, such as recurring costs.

Here, the family wants to save $100 each month and they record their progress toward this goal at the end of each month.

A recording of $0 simply means no savings.

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Answer:

What is the question?

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

I'm not really good at math but I think 25 is the answe

Answer:

1. -3

2. 9

3. 5

4. -12

2)

a 9-6=3

b.5-8=-3

c.-12-6=-18

d.10+8=18

e.+4-2=2

f.-9+5=-4

Answer:

1.

a. -3

b. 9

c. 5

d. -12

2.

a. 9 + (–6) = 3

b. (–5) + 8 = 3

c. (–12) + (–6) = -18

d. 10 – (–8) = 18

e. (–4) – (+2) = -6

f.  –9 – (–5) = 4

3.

a. 8 * 3 = 24

b. -7 * 5 = -35

c. -6 * -9 = 54

d. 8 / -2 = -4

e. -24 / -3 = 8

f. -36 / 6 = -6

4.

$65.00 - $82.00 = -$17

5.

$84

6.

-$1,500 + -$1,200 = -$2,700

Step-by-step explanation:

Notice that the given function corresponds to a graph of a sine function with amplitude 4 and mean value 2:

Notice that the temperature is above 0ºC since one month before January until 7 months after January. This means that the temperature is above 0ºC from December until August.

This means that the temperature is above 0ºC all January, all July and the months between them.

Therefore, the answer is:

January and July.

a) Using the standard divisors according to Jefferson's apportionment method, the number of salespeople assigned to work each shift is as follows:

Shift                              Morning     Midday     Afternoon     Evening   Total

Number of

salespeople assigned  1               3                  5                 7                16

b) The modified or adjusted divisor used represents the average number of customers for each shift divided by the standard divisor.

The standard divisor shows the ratio of the total population to the number of seats.

The standard divisor gives an insight about the number of people each seat represents.

Standard divisor = Total number of customers / Total number of salespeople

The total number of customers = 1,425

The number of salespeople = 16

a) Standard divisor = 1,425 ÷ 16

= 89.0625

Shift                              Morning     Midday     Afternoon     Evening   Total

Average number of

customers                     125            280             460             560       1,425

Standard divisor      89.0625     89.0625      89.0625      89.0625

b) Modified divisor     1.4035        3.1438          5.165           6.288

Number of

salespeople assigned  1               3                  5                 7                16

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The expression is given as

The exact value of tan 30 is

Simplify it by multiply square root 3 in denominator and numerator.

Hence the correct option is C.

It takes 10 weeks to empty the lake.

To solve this problem, we can set up a rate equation.

Let's denote the rate at which the officials are releasing water as R and the rate at which the river is replenishing the lake as F.

We are given that the officials are releasing water at a rate that would empty the lake in 6 weeks, so we can say:

\(R=\frac{1}{6}\)

Similarly, we are given that the river can fill the lake in 15 weeks, so:

\(F= \frac{1}{15}\)

Now, let's find the net rate of change of the water level in the lake.

The officials are releasing water, so the rate of change is negative.

The river is replenishing the lake, so the rate of change is positive.

Therefore, the net rate of change is:

\(Net Rate = F - R\)

\(Net Rate =\frac{1}{15} -\frac{1}{6}\)

\(Net Rate = \frac{(2 - 5)}{30}\)

\(Net Rate = \frac{-3}{30}\)

\(Net Rate = \frac{-1}{10}\)

The negative sign indicates that the water level is decreasing.

Now, we need to find the time it takes to empty the lake, which is the time it takes for the water level to decrease from full to zero.

Let's denote this time as T.

Since the net rate of change is given by \(\frac{-1}{10}\), we can write:

\((\frac{-1}{10} )\times T=1\)

Solving for T, we find:

\(T= \frac{-1}{\frac{-1}{10} }\)

\(T = 10\)

Therefore, it takes 10 weeks to empty the lake.

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Subtract the width from the length.

8.5 - 5.95 = 2.55 yards

Answer:

7/2 x 52/3

Step-by-step explanation:

Steps:

Since 1 year = 52 weeks

52*7/2*3= 7/2*52/3

Since 1 year equal 52 weeks meaning we have to times 52 by 7/2 then times by 3 the weeks. The answer is below.

Answer: 7/2 x 52/3

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Hope this helps.

The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.

a) We are given the equation 8 tan θ = 3 cos θ.

Dividing both sides of the equation by cos θ, we have:

8 tan θ / cos θ = 3

Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:

8 (sin θ / cos θ) / cos θ = 3

Simplifying further, we get:

8 sin θ / cos^2 θ = 3

Now, multiplying both sides of the equation by cos^2 θ, we have:

8 sin θ = 3 cos^2 θ

Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:

8 sin θ = 3(1 - sin^2 θ)

Expanding the equation, we get:

8 sin θ = 3 - 3 sin^2 θ

Rearranging the terms, we have:

3 sin^2 θ + 8 sin θ - 3 = 0

Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.

b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.

To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.

In this case, the equation factors as:

(3 sin θ - 1)(sin θ + 3) = 0

Setting each factor equal to zero, we have two equations:

3 sin θ - 1 = 0    or    sin θ + 3 = 0

For the first equation, solving for sin θ, we get:

3 sin θ = 1

sin θ = 1/3

Taking the inverse sine (sin^-1) of both sides, we find:

θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)

For the second equation, solving for sin θ, we have:

sin θ = -3

Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).

Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.

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Answer:

7/8

Step-by-step explanation:

Using the binomial distribution, it is found that there is a \(\frac{7}{8}\) probability that at least one of the coins comes up heads.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability that at least one of the coins comes up heads is given by:

\(P(X \geq 1) = 1 - P(X = 0)\)

In which:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{3,0}.\left(\frac{1}{2}\right)^{0}.\left(\frac{1}{2}\right)^{3} = \frac{1}{8}\)

Then:

\(P(X \geq 1) = 1 - P(X = 0) = \frac{8}{8} - \frac{1}{8} = \frac{7}{8}\)

\(\frac{7}{8}\) probability that at least one of the coins comes up heads.

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The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

From the question, we have the following equations that can be used in our computation:

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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The formula for the distance between two points (x_1,y_1) and (x_2,y_2) is,

Determine the distance between points (-3, -8) and (-3,6).

So distance between two points is 14.

Answer: Option B

The factors of the given polynomial is 3(x-2)(x+b). Therefore, option C is the correct answer.

The given polynomial expression is 3x² + 3bx - 6x - 6b.

The factors are the polynomials which are multiplied to produce the original polynomial.

The factors of given polynomial can be find using grouping method, that is

(3x² + 3bx) - 6x - 6b

=3x(x+b)-6(x+b)

=(x+b)(3x-6)

=3(x-2)(x+b)

The factors of the given polynomial is 3(x-2)(x+b). Therefore, option C is the correct answer.

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Answer:

$44

Step-by-step explanation:

Hello!

It said that 7 cameras cost $308, right?

If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:

7x = 308.

If 7x = 308, it would be

308/7 =

44.

So, $44 is the answer.