Mei Li is going apple picking. She is choosing between
two apple orchards. The cost of a basket of apples at
each orchard is shown.
Which orchard should Mei Li choose? Explain

Answer: Θ = \(45\)

Step-by-step explanation:

tan x=sinx/cosx

and tan x is negative in the first and third quadrants.

tan x=1 for 45 degrees so tan x=-1 in the first quadrant 135 degrees and the third quadrant= 315 degrees

1. The down payment: $599 x 0.10 = $59.90
2. The total amount paid in installments: $50 x 12 = $600
3. The total cost of the purchase: $599 + $59.90 = $659.90
4. The finance charge: $659.90 - $599 = $60.90
5. The cost of the finance charge per month: $60.90 ÷ 12 = $5.08
6. Add the cost of the finance charge per month to the monthly payment: $50 + $5.08 = $55.08 (rounded to the nearest cent)

Let's go through the steps:

1. To determine the down payment, we multiply the purchase price ($599) by the down payment percentage (10%). This gives us $59.90.

2. The total amount paid in installments is calculated by multiplying the monthly installment amount ($50) by the number of months (12). This results in $600.

3. To find the total cost of the purchase, we add the down payment to the purchase price. Thus, $599 + $59.90 = $659.90.

4. Finally, to calculate the finance charge, we subtract the purchase price from the total cost of the purchase. Therefore, $659.90 - $599 = $60.90.

So, the finance charge on Amy's installment plan is $60.90.

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Answer:

yes, if the "get room ready" is less than 2 hours and 55 mins

Step-by-step explanation:

1 hr +2 hrs +20 mins +45 mins = 3 hrs 5 mins and she has the room for 5.5 hours, so as long as get room ready is just under three hours itll be fine, the question just wasnt written completely

2cos x − sec x is equivalent to cosine of 2 times x over the quantity cosine of x end quantity

To simplify cosine(2x)/cos(x), we can use the double angle formula for cosine:

cos(2x) = \(2cos^2(x)\) - 1

Substituting this into the expression, we get:

cosine(2x) / cosine(x) = (\(2cos^2(x)\) - 1) / cos(x)

Now, we can simplify the numerator using the identity \(2cos^2(x)\) = 2 - \(2sin^2(x)\):

(\(2cos^2(x)\) - 1) / cos(x) = ((2 -\(2sin^2(x)\)) - 1) / cos(x) = (1 - \(2sin^2(x)\)) / cos(x)

Next, we can use the identity \(1 - 2sin^2(x)\) = cos(2x) to get:

(\(1 - 2sin^2(x)\)) / cos(x) = cos(2x) / cos(x) = cos(x + x) / cos(x)

Finally, using the angle addition formula for cosine, we get:

cos(x + x) / cos(x) = (cos(x)cos(x) - sin(x)sin(x)) / cos(x) = \((cos^2(x) - sin^2(x))\)/ cos(x)

Using the identity\(cos^2(x) - sin^2(x)\)= cos(2x) and simplifying, we get:

\((cos^2(x) - sin^2(x))\)/ cos(x) = cos(2x) / cos(x) = 2cos(x) - sec(x)

Therefore, the equivalent expression is:

2cos(x) - sec(x)

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Answer: 1 quarter or 0.25 cents.

Step-by-step explanation: According to the illustration shown, we can infer that the coin we are looking for is for 1 value. So, if we subtract the amount shown (total) from the other coins (pennies in this case), 0.27 - 0.02 = 0.25 which is equivalent to the coin of the quarter (worth $0.25 USD) So, the blanks would look like this:

1 quarters

0 dimes

0 nickles

2 pennies

I hope this helped!

Answer:

it will take 20 minutes for all the pretzels to be gone

Step-by-step explanation:

you can multiply 25 times 20 you get 500

hope this helps!

Answer:

3

Step-by-step explanation:

To find the answer, heres what you need to do.

Basically, you divide each number on the right by the number on the left.

15/5= 3

24/8=3

36/12=3

72/24=3

Since all of the answers are 3, your answer is 3

Answer:

3

Step-by-step explanation:

Slope Formula:

y2 - y1/x2 - x1

Let's use (5, 15) and (8,24)

(x1, y1) = (5, 15)

(y1, y2) = (8, 24)

Substitute:

y2 - y1/x2 - x1

24 - 15/8 - 5

Solve:

24 - 15/8 - 5

9/3

= 3

Therefore the slope, or constant rate is 3.

Tip: look at the relationship between Cost and Time.

15/5 = 3

24/8 = 3

36/12 = 3

72/24 = 3

Dividing is a simple way to find the slope!

Answer: 5 feet

Step-by-step explanation:

Answer: 5 feet

Step-by-step explanation:

Using the Box Method, we multiply each term in the first expression (2x) with each term in the second expression (x - 6) and then combine the resulting terms to obtain the simplified expression 2x^2 - 12x.

Draw a rectangular box and divide it into two sections: one for 2x and the other for (x - 6).

Write 2x on the top section of the box.

Write x - 6 on the bottom section of the box.

Multiply the corresponding terms in each section. In this case, multiply 2x with x and 2x with -6.

Write the results of the multiplications in the appropriate positions inside the box.

Combine like terms within the box. In this case, combine 2x^2 and -12x.

The simplified expression is the sum of the combined terms, so the final answer is 2x^2 - 12x.

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The city covers an area of 80.38 square kilometers.

To calculate the number of square kilometers in 31.2 square miles, we need to use the given conversion factor 1 mile = 1.61 km. We can do this by multiplying the number of square miles by the square of the conversion factor.

Hence, the number of square kilometers in 31.2 mi² is calculated as follows:

1 mi² = 1.61² km² (square both sides to convert square miles to square kilometers)1 mi² = 2.5921 km² (square of 1.61)

Now, we can calculate the area in square kilometers by multiplying the number of square miles by the area conversion factor:

31.2 mi² × 2.5921 km²/mi² = 80.38 km²

Therefore, the city covers an area of 80.38 square kilometers.

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Imagine that a survey of randomly selected people finds that people who used sunscreen were more likely to have been sunburned in the past year.

There are several possible explanations for the finding that people who used sunscreen were more likely to have been sunburned in the past year.

However, without additional context or data, it is difficult to determine the most likely explanation definitively. Here are a few possible explanations to consider:

1. Ineffective or improper use of sunscreen: It is possible that the individuals who reported using sunscreen did not apply it correctly or did not reapply it as recommended.

Inadequate application or failure to follow proper sunscreen usage guidelines could result in insufficient protection from the sun's harmful rays, leading to sunburn.

2. Self-selection bias: It is possible that individuals who have previously experienced sunburns may be more likely to use sunscreen. They may be more aware of the potential risks and take precautions, including using sunscreen.

This could create an association between sunscreen use and sunburn, even though sunscreen itself is intended to prevent sunburn.

3. Recall bias: The survey responses may be subject to recall bias, where individuals may inaccurately remember or report their sunscreen use and sunburn experiences.

Memory limitations or subjective perceptions of sunburn severity could influence the reported data and the observed association between sunscreen use and sunburn.

4. Confounding factors: There may be other factors or variables at play that are related to both sunscreen use and sunburn. For example, individuals who engage in activities that increase sun exposure or who have certain skin types may be more likely to both use sunscreen and experience sunburn.

It is important to note that further investigation, including more detailed surveys, data collection and statistical analysis, would be necessary to determine the most likely explanation for the observed association between sunscreen use and sunburn.

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Answer:

i honestly dont know

Step-by-step explanation:

im trying to do my test and have been stuck on this one. Sorry for the disappointment.

Answer:

268.47

Step-by-step explanation: I took the quiz

To find the polar equation for the given Cartesian equation x^2 + y^2 = 8y, we can use the following relationships between Cartesian and polar coordinates:

x = rcos(θ)

y = rsin(θ)

Let's substitute these equations into the Cartesian equation:

(x^2) + (y^2) = 8y

(rcos(θ))^2 + (rsin(θ))^2 = 8(rsin(θ))

Expanding and simplifying:

r^2(cos^2(θ) + sin^2(θ)) = 8rsin(θ)

r^2 = 8rsin(θ)

Dividing both sides by r and rearranging:

r = 8sin(θ)

Therefore, the polar equation for the curve represented by the given Cartesian equation x^2 + y^2 = 8y is r = 8sin(θ).

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The expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Therefore, the expected time for these activities is 2.8 hours.

To calculate the expected time for activities, we can use the formula for expected value.

The expected value is calculated by multiplying the time for each activity by its probability of occurrence, and then summing up these values. The formula for expected value is: Expected Value = (Time1 * Probability1) + (Time2 * Probability2) + ... + (TimeN * ProbabilityN) Here's a step-by-step example:

1. List all the activities and their corresponding times and probabilities.

2. Multiply the time for each activity by its probability.

3. Sum up the values obtained in step 2.

For example, let's say we have two activities: Activity 1: Time = 2 hours, Probability = 0.6 Activity 2: Time = 4 hours, Probability = 0.4 Using the formula, we calculate the expected time as follows: Expected Time = (2 hours * 0.6) + (4 hours * 0.4) = 1.2 hours + 1.6 hours = 2.8 hours

Therefore, the expected time for these activities is 2.8 hours.

Here full question is not provided  but the full answer given above.

Remember, this is just one example, and you can use the same formula for any number of activities with their respective times and probabilities. In summary, to calculate the expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Then, sum up these values to get the expected time.

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Answer:

347 meters

Step-by-step explanation:

To calculate the distance Billy has cycled, we need to find the circumference of his bike's wheels and multiply it by the number of revolutions.

The circumference of a circle can be found using the formula: C = πd, where C is the circumference and d is the diameter of the circle.

Given that the diameter of Billy's bike wheels is 85 cm, we can find the circumference:

C = πd

C = π * 85 cm

C ≈ 267.2036 cm

Now, to find the distance Billy has cycled, we multiply the circumference by the number of revolutions:

Distance = C * number of revolutions

Distance = 267.2036 cm * 130 revolutions

Distance ≈ 34716.468 cm

Converting the distance to meters:

Distance ≈ 347.16468 meters

Therefore, Billy has cycled approximately 347 meters.

Step-by-step explanation:

Consider this example first: Suppose the circumference of your bike tire is a nice easy number like 3ft.

If you're riding your tire and it rotates once, how far have you gone? 3ft

If it rotates twice, how far have you gone? 6ft

If it rotates four times, how far have you gone? 12ft

What if it rotates ten times?

Or 57 times?

How are you figuring this out?

You're multiplying the circumference by the number of revolutions.

In this problem, you know your tires make 150 revolutions. To find out how far it has gone, you need to know their circumference.

If you are given the diameter of the circle, the circumference is always going to be π times that diameter.

They tell you that the diameter of your tire is 85 cm. This means that the circumference of your tire must be 85π cm.

To find out how far you've traveled in cm, multiply this by the number of revolutions:

150 x 85π cm = 12750π cm

There are 100 cm in a meter, so divide this number by 100 to get the same distance in meters:

127.5π m

Answer:

12.5 days

Step-by-step explanation:

Given

No of workers= 30

Time taken to paint shopping mall= 25 days

Assume time taken for 15 men =X

Time taken for 15men to paint X= (15*25)/30

=12.5 days

The answer is (a) 0.8494, to find the probability that the battery fails before the one year warranty expires,

we need to calculate the integral of the given pdf from 0 to 1, as X represents the length of the battery life in years.

So, P(X<1) = ∫(0 to 1) f(x) dx = ∫(0 to 1) (16/49) e^(-8x^2/49) dx ≈ 0.8494

Therefore, the answer is (a) 0.8494.

The given pdf describes the distribution of the length of the battery life, and we are interested in finding the probability that the battery fails before the one year warranty expires.

This can be found by integrating the pdf from 0 to 1, as the warranty lasts for one year.

Using the formula for the probability density function, we calculate the integral of the given pdf from 0 to 1, and get the answer as 0.8494.

This means that the probability of the battery failing before the one year warranty expires is about 84.94%.

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The percentage growth or decay of U is approximately 50.77%.

To find the percentage growth or decay, we need to compare the initial value (U = 1500) to the final value after the growth or decay. In this case, the final value is given by the expression:

U = 1500(1 + 0.036)^12

To calculate this, we can simplify the expression inside the parentheses first:

1 + 0.036 = 1.036

Now we can substitute this value back into the expression:

U = 1500(1.036)^12

Using a calculator, we can evaluate this expression to find the final value of U:

U ≈ 1500(1.5077) ≈ 2261.55

Now we can calculate the percentage growth or decay:

Percentage Change = (Final Value - Initial Value) / Initial Value * 100%

Percentage Change = (2261.55 - 1500) / 1500 * 100%

Percentage Change = 0.5077 * 100%

Percentage Change ≈ 50.77%

Therefore, the percentage growth or decay of U is approximately 50.77%.

Note that a positive percentage indicates growth, while a negative percentage would indicate decay. In this case, since the percentage is positive, we can interpret it as a percentage growth.

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Answer:

\( \small \boxed{ \sf Option \: C \rightarrow 3 {x}^{2} {y}^{2} + 4x {y}^{2} + 3 {x}^{2} + 3 {y}^{2} - 3}\)

Step-by-step explanation:

\( \hookrightarrow(5x {y}^{2} +3 {x}^{2} -7) + (3 {x}^{2} {y}^{2} -x {y}^{2} +3 {y}^{2} +4)\)

Open the bracket,

\(\hookrightarrow5x {y}^{2} +3 {x}^{2} -7 + 3 {x}^{2} {y}^{2} -x {y}^{2} +3 {y}^{2} +4\)

arrange the like terms,

\(3 {x}^{2} {y}^{2} + 5x {y}^{2} - x {y}^{2} + 3 {x}^{2} + 3 {y}^{2} - 7 + 4\)

Solving further

\(3 {x}^{2} {y}^{2} + 4x {y}^{2} + 3 {x}^{2} + 3 {y}^{2} - 3\)

Hence Option C is the correct match!

\(\sf \small \pink{Thanks }\: \green{for} \: \blue{joining} \: \orange{brainly } \: \red{community}!\)

Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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Answer:

Solution given:

radius[r]=2in

π=3.14

we have

volume of sphere=\( \frac{4}{3} \pi {r}^{3} \)=\( \frac{4}{3} ×3.14× {2}^{3} \)=33.5in³is your answer.

Let's see

Hey there! I'm happy to help!

How many times does 30 minutes go into 60 minutes?

60/30=2

This means we are traveling 32 miles two times!

32(2)=64

Therefore, Kathryn and her mom drive 64 miles in an hour.

Have a wonderful day! :D

Answer:

10000000.9

Step-by-step explanation:

90-22.5=67.5

He has $67.5

Answer:

A)  The function has a maximum value of 1

Step-by-step explanation:

Since the parabola opens downward, then its maximum would be 1 and its minimum would be -∞

Answer:

Step-by-step explanation:

if 14/6=32/4

12/4=3 y-6=3 y=9

0/4=0 y-6=0 y=6

if y=4 x=-8

y=-3 x=-36

Answer:

Step-by-step explanation:

y = 6 - (x/4)                 replace the given values with x or y

x    :    y

32   :    14

12    :    3

0     :    6

8    :     4

36    :    -3

Three identically sized sectors make up a spinner. Two sectors are colored blue, while one sector is labeled red. Kathryn turns the spinning while recording the outcomes. Kathryn comes to the conclusion that there is a problem with her experiment after running several trials for it.

The object's sample space affects theoretical probability. For instance, the likelihood of rolling a 3 when using a fair die is 1/6. This is so because, when a fair die is rolled, the number 3 indicates one of the six possible results.

Divide the total number of trials by the number of times the desired result has occurred to determine the experimental probability.Every time, one fourth of the time, the spinner will land on a different color. The likelihood of rolling each number on the die in Experiment 2 is always one sixth. The results are equally likely to occur in both of these tests. Let's examine a test in which the results are not equally likely.

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In mathematics, a vertical asymptote is a vertical line on a graph that a function approaches but never touches or crosses. Specifically, it is a line x = a where the function f(x) approaches positive or negative infinity as x approaches a from either side.

Based on the description of the graph, it seems like it belongs to a family of functions with a vertical asymptote at x = -2 and a horizontal asymptote at y = 3.5. Among the given options, the only function that fits this description is:

y = StartFraction 1 Over x + 2 EndFraction + 3

This function has a vertical asymptote at x = -2, as the denominator becomes zero there, and a horizontal asymptote at y = 3.5, as the fraction approaches zero as x goes to positive or negative infinity.

Therefore, Additionally, the function passes through the point (0, 3.5), which is consistent with the given graph.

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Answer:

A

Step-by-step explanation:

Just took the test

Answer: 1kg

Step-by-step explanation:

Answer:

almost 4.5g

Step-by-step explanation:

Hope this is the answer you are looking for