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PRECALC TRIG

The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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The key difference between observational studies and experimental designs is that a well-done observational study does not influence the responses of participants, while experiments do have some sort of treatment condition applied to at least some participants by random assignment.

An observational study is used in fields such as epidemiology, social sciences, psychology, and statistics to draw conclusions from a sample to a population where the independent variable is not under the researcher's control due to ethical concerns or logistical constraints.

Observational studies involve the study of participants who have had no forced change in their circumstances, i.e., no intervention.

Although participants' behavior may change while being observed, the goal of observational studies is to look into the 'natural' state of risk factors, diseases, or outcomes.

Observational studies are those in which researchers examine the impact of a risk factor, diagnostic test, treatment, or other intervention without attempting to change who is or is not exposed to it.

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Answer:

yes

Step-by-step explanation:

School is an educational building where you learn math and reading and it doesnt help you but it benifits you in jobs.

Answer:

well yes but no at the same time

Step-by-step explanation:

have a nice week. please mark as brainllest

[o]-[o]

\___/

The correct representations of the inequality expression are (a) 6x – 15 > -10 + 5x and (c) 3(2x – 5) > -5(2 – x)

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

–3(2x – 5) < 5(2 – x)

Divide bot sides of the inequality by -1

So, we have the following representation

3(2x – 5) > -5(2 – x)

Next, we open the brackets

This gives

6x – 15 > -10 + 5x

Hence, the representation is 6x – 15 > -10 + 5x

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Complete question

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

(a) 6x – 15 > -10 + 5x

(b) 6x – 15 < -10 + 5x

(c) 3(2x – 5) > -5(2 – x)

(d) 3(2x – 5) < -5(2 – x)

Answer:

3/20

Step-by-step explanation:

35-15= 20

3 out of 20 wear glasses

3/20

I think the answer is 17.

Answer:

2nd graph is a function

Step-by-step explanation:

To find graph is a function or not, draw a vertical line. if that line cuts your graph more than once, then it's not a function.

If you draw a vertical line through circled graph, it will cut your graph at two points. so it's not a function

If you draw a vertical line through 2 nd graph it will cut your graph at only one point. therefore it's a function.

The mean score for the first four matches is 44. The team will need to score 44 points in the next match to maintain the same mean score.

The given scores of the first four matches of a basketball team are 43, 55, 41 and 37 points.

We are supposed to find the mean of these scores in order to calculate the score that the team needs to maintain the same mean score.

Step 1: We can find the mean of the four scores by adding the four scores and then dividing by the number of scores.

Here we have four scores.

So we add them and then divide by 4:

Mean score = (43 + 55 + 41 + 37) / 4

= 176 / 4

= 44.

Hence, the mean of the first four scores is 44.

Step 2: To find out what score the team needs to maintain the same mean score, we will add the score in the next match and then divide by 5 (the new number of scores).

The mean score should remain at 44, so:

(43 + 55 + 41 + 37 + x) / 5

= 44

Here, we will find the value of x, which will be the score needed in the next match:

43 + 55 + 41 + 37 + x = 220 (multiplying both sides by 5)

⇒ 176 + x = 220 (adding both sides by -176)

⇒ x = 44

Therefore, the team will need to score 44 points in the next match to maintain the same mean score of 44.

So, the answer is:

The mean score for the first four matches is 44.

The team will need to score 44 points in the next match to maintain the same mean score.

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Answer:

if you make 4 free throws for every 10 shots taken you would make 20 out of 50 free throws

Step-by-step explanation:

Answer:

4x+15

Step-by-step explanation:

The value of the variables are x = 2 and y = 1

From the information given, we have the simultaneous equations are;

y = 6x -11

-2x - 3y = -7

Now, substitute the value of y in equation 1 to equation 2, we get;

-2x - 3(6x -11) = -7

expand the bracket

-2x - 18x + 33 = -7

collect the like terms

-2x - 18x = -7 - 33

Add the values

-20x = -40

Make 'x' the subject

x = 2

Substitute the values

y = 6x -11

y = 6(2) - 11

y = 1

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Answer:

6 x 4 = 24

24 x 15.3 = 367.2

half of 4 is = 2

2^2 = 4

4 x 3.14 = 12.56

12.56 divided by 2 = 6.28

6.28 x 15.3 = 96.084

367.2 + 96.084 =

463.284 ft3 is your answer.

The statement is true. If we take any two distinct prime numbers, and the number "1", these numbers will always be pairwise relatively prime.

Two numbers are said to be pairwise relatively prime if their greatest common divisor (GCD) is equal to 1. In this case, since we are considering distinct prime numbers, their GCD will always be 1 since prime numbers have no common factors other than 1 and themselves. Therefore, any two distinct prime numbers will be relatively prime.

Similarly, when we consider the number "1", it is relatively prime to any other number because its only divisor is 1. Hence, when "1" is paired with any prime number, the GCD will be 1.

In summary, whether we consider two distinct prime numbers or pair them with the number "1", the resulting numbers will always be pairwise relatively prime.

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Answer:

\(x = 4\)

Step-by-step explanation:

Since the two prisms are similar, the ratios of each of the sides of the larger prism to the corresponding sides of the smaller prism must be the same

\(\dfrac{16}{4} = \dfrac{24}{6} = \dfrac{x}{1} = 4\)

So each side of the larger prism is 4 times the corresponding side of the smaller prism

\(\dfrac{x}{1} = 4\\\\x = 4\)

Answer:

the perimeter, in units of the rectangle is 16x + 20

Step-by-step explanation:

perimeter of a rectangle be is 2(L + B)

p = 2(L + B)

L = 5x + 2

B = 3x + 8

p = 2L + 2B

p = 2(5x + 2) + 2(3x + 8)

p = (10x + 4) + (6x + 16)

p = 10x + 4 + 6x + 16

Collect like terms

p = 10x + 6x + 4 + 16

p = 16x + 20

Answer: 16x+20

Step-by-step explanation:

perimeter of a rectangle is the length of all sides added together.

(3x+8)+(3x+8)+(5x+2) + (5x+2)

combine like terms

16x+20

Hence, Harry gives £5 money to Sunil.

A ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6:8 and the ratio of oranges to the total amount of fruit is 8:14.

Given, Ratio 7:2Harry and Sunil have the same amount of money. Harry wants Sunil to have £5 more.

We have to find out how much does he give him?

Solution:Let us assume that Harry has 7x amount of money, so Sunil has 2x amount of money.

According to the question, we have:

7x = 2x + 5 ⇒ 7x - 2x = 5 ⇒ 5x = 5 ⇒ x = 1

Therefore, Harry has 7x = 7 × 1 = £7 and Sunil has 2x = 2 × 1 = £2.

Now, Harry wants to give £5 to Sunil.
So, Harry gives:Amount = 5/7 × 7 = £5

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Answer:

y=3x+(0,4.5)

Step-by-step explanation:

i did this in my head, but the difference between -8 and 7 is 15. the difference between 2 and 7 is 5. it's rise over run so (15,5). that simplified is (3,1)/3. that is the slope. now you need a graph to see the y-int. the y-int is around 4.5.

Answer:

By drawing rectangles, splitting them into sixths, and shading in the numbers we're adding to get a final sum of 5 4/6, or 5 2/3.

Step-by-step explanation:

1/6 is basically half of 1/3, so if we're making a fraction model we can just divide rectangles into sixths. You can draw maybe 7, because you know that 4+1 is going to be 5. Draw the rectangles and divide them each into 6. 1/3 is just going to be 2 sections of that rectangle. You can shade in first 4 whole rectangles, then 1 to represent the whole numbers. For 2/6, just shade in 2 sections! For 1/3, shade in 2 as well, because 1/3 and 2/6 are equivalent. Count up your rectangles and sections, and you should get a sum of 5 4/6, which can be simplified into 5 2/3.

Hope this helps! If you need clarification, or if I didn't answer the question right, you can ask!

Ancbbbnm,..vbnm,.

Step-by-step explanation:

Answer:

3/26

Step-by-step explanation:

6 of the 52 cards are red

Answer:

9 yards

Step-by-step explanation:

The Pythagorean theorem: \(a^2+b^2=c^2\)

Where a and b are legs, and c is the hypotenuse.

The hypotenuse is the side opposite from the right angle in the right triangle.

The hypotenuse would be AC, measured 15 yards, because it is opposite from the right angle. BC, the unmeasured side would be a leg. I can call that the "b" leg and AB, the 12 yard side the "a" leg.

Substitute the measures into the theorem to get: \(12^2+?^2=15^2\)

\(144+?^2=225 ; ?^2=81; ?=\sqrt{81} =9\)

Answer:

268.8 mL

Step-by-step explanation:

To find the volume of an object, use the formula length x width x height. Using the measurements 6.4 cm x 4 cm x 10.5 cm gives us a volume of 268.8 cubic centimeters. Since cubic centimeters also equal milliliters, this volume is also 268.8 mL.

Answer:

Step-by-step explanation:

the horizontal line is x and 8=x so the point has to be where 8 is in the horizontal line. Then y is 3 so the point is gonna be in the vertical line then you connect those two-points and you have your line.

To look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

For a regular polygon with n sides, the sum of its interior angles is given by ((n - 2) × 180) degrees. In the case of a round table seating 6 people, the table can be considered as a hexagon, which has 6 sides. Using the formula, we can calculate the sum of the interior angles:

((6 - 2) × 180) / 6 = (4 × 180) / 6 = 720 / 6 = 120 degrees

Since the table forms a complete circle, the sum of the interior angles is divided equally among the guests. Therefore, each guest sits at an angle of 120 degrees. To look from the guest to their left to the guest to their right, you need to rotate by the angle between adjacent guests, which is half of the angle they sit at:

120 / 2 = 60 degrees

Thus, to look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

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0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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Answer:

-2 I guess, your question is poorly formatted

Step-by-step explanation:

3-5= -2

Answer:

Since the question doesn't mention in what tide the answer should be, I will be giving a solution to both, the high and low tide. Hope this helps :)

Step-by-step explanation:

Using a cosine function, where time is measured in hours past high

tide:  y=4cos30x + 10

Using a cosine function, where time is measured in hours past low

tide:  y = 4cos[30(x-6)]+10

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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The result of dividing \(x^{3}\) - 6 by \(x^{2}\) is x - 2 with a remainder of 14x +( 2/(x + 2))

To divide\(x^{3}\) - 6 by \(x^{2}\), we perform polynomial long division. The first step is to divide the highest degree term of the numerator (\(x^{3}\)) by the highest degree term of the denominator (\(x^{2}\)), which gives us x. We then multiply \(x^{2}\) by x - 2 to obtain \(x^{3}\) - 2\(x^{2}\). Subtracting this from the numerator, we get -2\(x^{2}\) - 6.

Next, we bring down the next term of the numerator (-2\(x^{2}\)) and divide it by \(x^{2}\), resulting in -2. We multiply \(x^{2}\) by -2 to obtain -2\(x^{2}\) - 4\(x^{2}\). Subtracting this from -2\(x^{2}\) - 6, we get -4\(x^{2}\) - 6.

We bring down the next term of the numerator (-4\(x^{2}\)) and divide it by \(x^{2}\), yielding -4. Multiplying \(x^{2}\) by -4 gives us -4\(x^{2}\)- 8\(x^{2}\). Subtracting this from -4\(x^{2}\) - 6, we get -8\(x^{2}\)- 6.

Since the degree of the remaining term (-8\(x^{2}\) - 6) is less than the degree of the denominator, we can stop the division process. The resulting quotient is x - 2, and the remainder is -8\(x^{2}\) - 6.

However, we need to express the remainder as a fraction. So, we write it as 14x + (2/(x + 2)). This represents the remainder of -8\(x^{2}\) - 6 divided by \(x^{2}\), expressed as a fraction with numerator 2 and denominator (x + 2).

Therefore, the final result of dividing \(x^{3}\) - 6 by \(x^{2}\) is x - 2 with a remainder of 14x + (2/(x + 2))

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