To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.​

Answer:

Option D. 51.1 cm

Step-by-step explanation:

Please see attached photo for explanation.

In the attached photo, c is the distance between the tip of the cone and its rim.

The value of c can be obtained as follow:

Angle θ = 38.5°

Adjacent = WY = 40 cm

Hypothenus = WZ = c =?

Cos θ = Adjacent / Hypothenus

Cos 38.5 = 40 / c

0.7826 = 40 / c

Cross multiply

0.7826 × c = 40

Divide both side by 0.7826

c = 40 / 0.7826

c = 51.1 cm

Thus, the distance between the tip of the cone and its rim is 51.1 cm.

Answer:

Option D. 51.1 centimeters

Step-by-step explanation:

Correct answer for plato users

Answer:

5x+x and x+x+4x

Step-by-step explanation:

5x+x is basically 5x+1x which is 6x since x has an "invisible one" in front of it.

x+x+4x is 2x+4x which is 6x

hope this helps. :)

Answer:

4 and 5

Step-by-step explanation:

9x - 3 is 6x

5x + x can be 6x because there's is a x next to it that means it can be any number so if the number is suppose to become 6x we need to add 1 to both sides, and the a swer will be 6x.

sorry of wrong.

Answer:

20.95$

Step-by-step explanation:

To find the total price we need to find 4.75% of the 20 and to do that we need  to multply 20 with 4.75 and divide it by 100

20 × 4.75 ÷ 100 = 0.95

20$ + 0.95$ = 20.95$

Answer:

0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Republican

Event B: From a household that makes at least $50,000.

Probability of Republican:

43% of 36%(makes less than $50,000).

55% of 64%(makes more than $50,000).

So

[tex]P(A) = 0.43*0.36 + 0.55*0.64 = 0.5068[/tex]

Republican and from a household that makes at least $50,000.

55% of 64%. So

[tex]P(A \cap B) = 0.55*0.64 = 0.352[/tex]

What is the probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.352}{0.5068} = 0.6946[/tex]

0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.

Answer:

Future value, A = $6,317.6

Step-by-step explanation:

Given the following data;

Principal = $2,000

Interest rate = 7%

Time = 17 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 2000*(1 + \frac{7}{100})^{17}[/tex]

[tex] A = 2000*(1 + 0.07)^{17}[/tex]

[tex] A = 2000*(1.07)^{17}[/tex]

[tex] A = 2000 * 3.1588 [/tex]

Future value, A = $6,317.6

Answer:

f f f f f ff  f f ff f f ff f  f f f f f

Step-by-step explanation:

Answer:

9c+45

Step-by-step explanation:

9514 1404 393

Answer:

  150 square units

Step-by-step explanation:

Each of the six squares has an area of 5×5 = 25 square units. (You can count them, if you wish.)

Then the total area is ...

  6×(25 square units) = 150 square units

Answer:

7/39-1/42= 85/546

Step-by-step explanation:

so its 85/546

Answer:

7/39 1/42

so it's 85/546

Answer:

30%

Step-by-step explanation:

3/50 = 60/100

Answer:

u

Step-by-step explanation:

Answer:

Wait u want me to answer your question or the Jono question? Or both?

Step-by-step explanation:

1. $6/5

I believe its 45.

Its hard to explain but what I can say is if you subtract the percentage with the total of the skins you would subtract what you had from there and then you would have 45.

Answer:

I think 45

Step-by-step explanation:

Answer:

-5.3, -5/2, 72%, sqrt52, then 49

Step-by-step explanation:

edge 2020

p.s. pls mark brainliest, and have a good day! :)

Answer:

A. Compound Interest

Step-by-step explanation:

Compound interest is interest paid on both the principal and previously earned interest.

Compound interest earned on both the principal and any previously earned interest. Therefore, the correct answer is option A.

An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex]

Therefore, option A is the correct answer.

To learn more about the rate of interest visit:

brainly.com/question/28236069.

#SPJ2

Answer:

1 a)8 miles per hour 1 b) 1 hour and 90 minutes  2 a) 24 hours and 6minutes  2 b) 3hours 3 a) 260 hours and 45 minutes 3 b) 40 minutes

Step-by-step explanation:

I don't know for sure if this is all correct but at least you'll have something to write down

Answer:

1a. 8 miles per hour

1b. 32 km per hour

2a. 28 miles

2b. 3 hours

3a. 2925

3b. 1/4 hour or 15 minutes

Step-by-step explanation:

For number 1a, think of 2 1/2 hours equals 20 miles as 2 1/2x=20. The x being hours, and the 20 being 20 miles. You want the equation to become x=?. So you divide 2 1/2x=20 by 2 1/2 to make the equation start with x=. You end up with x=8. Or you could just think of it as divide 20 miles by 2 1/2 hours. Either way, you end up with 8 miles per hour. For number 1b, you do the same thing as before, but you have to make 4 hours and 45 minutes a fraction. So, the are 60 minutes in an hour, so the fraction would be 45/60. Then you simplify that down to 3/4. So, 152 km divided by 4 3/4 is 32 km per hour.

For number 2a, set aside 30 minutes for now. She can go 24 miles in 3 hours. Because 8 miles times 3 hours equals 24 miles. It’s like instrad of 8 miles per hour, it’s 24 miles per 3 hours. Then, because 30 minutes is half of an hour, 8 divided by 2 would make it 4 miles per half an hour. So 24 plus 4 is 28 miles. For number 2b, you want to know how many hours it took to travel 1980 miles. Since you already knowmthat is takes one hour to go 660 miles, pretend that each 660 miles is one hour. So you divide 1980 by 660 so see how many one hours fit. You get 3. So, an airplane can fly 1980 miles in 3 hours.

For number 3a, like 2a, you basically multiply the constant speed by the full hours then the fraction, and add them together. You could also just multiply the constant speed by the number 3 3/4. That way you get the miles per 3 3/4 hours. 3 3/4 times 780 is 2925. So the plane can fly 2925. For number 3b, to get the 2 miles per ? hours, you have to divde 8 by 4 to get to 2. So you divide 1 hour by 4 to get the answer. So it’s 1/4, (one fourth of an hour) or 15 minutes 1/4 of 60 (the amount of minutes in an hour) for Mary to go 2 miles.

Answer:

Step-by-step explanation:

Answer:

9units squared

Step-by-step explanation:

A standard rubix cube is 3 by 3 and therefor 3 x 3 is 9

Answer: 132

Step-by-step explanation:

Answer:

I don't know sorry

Step-by-step explanation:

Answer:

Step-by-step explanation:

Class Interval             Variate         Frequency

16-18                              16                     1

19-21                               0                     0

22-24                               0                    0

25-27                              26,27              2

Answer:

A

Step-by-step explanation:

right on edge 2021

9514 1404 393

Answer:

  1333.3 N

Step-by-step explanation:

The centripetal acceleration is given by ...

  a = v^2/r

  a = (100m/s)^2/(3 m) = (10^4)/3 m/s^2

Then the force on the ball is ...

  F = Ma = (0.4 kg)(10^4)/3 kg·m/s^2 ≈ 1333.3 N

Answer:

earning the money,depositing the money, and spending the money.

you worked all week to earn the money.

You deposit your money in your account.

You spent some money at American eagle.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

-3[-4 + 8 - 8] = -3(-4) = 12

Answer:

It all depends on the food they are going for, just like humans, mice have instincts. For example, if you were falling forward, which foot would you put out? Most likely the opposite one. I hope this helps you!

Step-by-step explanation:

Using hypotheses testing,

In both cases, we fail to reject the null hypothesis, indicating that there is not enough evidence to suggest that mice show a preference towards one paw over the other.

We have,

(a)

To test whether the data suggest that mice show a preference towards one paw over the other, we can use a one-sample proportion test.

The null hypothesis (H0) is that the proportion of mice that use their right paw is 0.5 (indicating no preference towards one paw over the other).

The alternative hypothesis (Ha) is that the proportion of mice that use their right paw is different from 0.5 (indicating a preference towards one paw over the other).

We can use a significance level (alpha) of 0.05.

To conduct the test, we can calculate the test statistic using the formula:

z = (p - 0.5) / √(0.5 x 0.5 / n)

where p is the proportion of mice that use their right paw, and n is the sample size.

Using the given data, we have:

p = 18/48 = 0.375

n = 48

Plugging in the values, we get:

z = (0.375 - 0.5) / √(0.5 x 0.5 / 48) = -1.714

Using a standard normal distribution table or calculator,

We can find the p-value associated with this test statistic.

The p-value is the probability of observing a test statistic as extreme as -1.714 or more extreme, assuming the null hypothesis is true.

The p-value for this test is 0.0869.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.

This means that we do not have sufficient evidence to conclude that mice show a preference towards one paw over the other, based on the given sample.

(b)

With the new dataset of 480 observations, we can still conduct a similar analysis using a one-sample proportion test.

However, since each mouse was measured 10 times, the observations are no longer independent.

Therefore, we need to use a different test that accounts for the dependency between observations, such as McNemar's test.

McNemar's test is a test of the marginal homogeneity of a two-way table, where the same subjects are measured twice on a binary outcome.

In this case, we can create a 2x2 contingency table of the number of times each mouse used their right or left paw, and conduct a McNemar's test on this table.

The null hypothesis for McNemar's test is that there is no difference in the proportions of mice that use their right or left paws.

The alternative hypothesis is that there is a difference.

To conduct the test, we can calculate the test statistic using the formula:

chi-squared = (|b-c|-1)² / (b+c)

where b is the number of mice that used their right paw more often, and c is the number of mice that used their left paw more often.

Using the given data, we have:

b = 214

c = 244

Plugging in the values, we get:

chi-squared = (|214-244|-1)² / (214 + 244) = 2.417

Using a chi-squared distribution table or calculator with 1 degree of freedom (since we have a 2x2 table), we can find the p-value associated with this test statistic.

The p-value is the probability of observing a test statistic as extreme as 2.417 or more extreme, assuming the null hypothesis is true.

The p-value for this test is 0.119.

Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.

This means that we do not have sufficient evidence to conclude that there is a difference in the proportions of mice that use their right or left paws, based on the new dataset.

Thus,

In both cases, we fail to reject the null hypothesis, indicating that there is not enough evidence to suggest that mice show a preference towards one paw over the other.

Learn more about the hypotheses test here:

https://brainly.com/question/28331914

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Answer:

[tex]3x^{2} - 20xy + 33y^{2}[/tex]

Step-by-step explanation:

[tex](x-3y)(3x-11y)\\3x^{2} - 9xy - 11xy + 33y^{2} \\3x^{2} - 20xy + 33y^{2}[/tex]

Answer:

value of y is -10

Step-by-step explanation:

-2x+3=7     equation 1

3x+1=5+y    equation 2

by eq 1

-2x=7-3

-2x=4

x=-2

put value of x in equation 2 to get value of y

3(-2)+1=5+y

-6+1=5+y

-5=5+y

-5-5=y

y=-10

Answer:

D

Step-by-step explanation:

f(x) = |x+3|=x+3   when x+3≥0 ⇒x≥-3

Answer:

5/12

Step-by-step explanation:

Find common denominators. Note that what you multiply to the denominator, you must multiply to the numerator as well. The common denominator is 12:

(2/3) * (4/4) = (8/12)

(1/4) * (3/3) = (3/12)

Subtract:

(8/12) - (3/12) = (8 - 3)/12 = 5/12

5/12 is your answer.

~

9514 1404 393

Answer:

  (d)  $775.50

Step-by-step explanation:

The parallelogram on the left has an area of ...

  A = bh = (4 yd)(2 yd) = 8 yd²

The rectangle in the middle has an area of ...

  A = lw = (6 yd)(4 yd) = 24 yd²

The triangle on the right has an area of ...

  A = 1/2bh = 1/2(1 yd)(2 yd) = 1 yd²

The total area of the carpet is ...

  (8 + 24 + 1) yd² = 33 yd²

__

At $23.50 per square yard, the cost is ...

  ($23.50/yd²)(33 yd²) = $775.50 . . . . . matches the last choice