Verify the identity.

\(cos 4u = cos^{2} 2u - sin^{2} 2u\)

Answer:

7

Step-by-step explanation:

its 7 hope this helps!!!!

Answer:

Rate of jogging is 4.6 miles per hour.

Step-by-step explanation:

Rachel jogs 20 feet in 3 seconds and we have to find the rate of jogging in miles per hour.

Since 1 feet = 0.000189394 miles

Therefore, 20 feet = 0.0037879 miles

Similarly, 1 second = \(\frac{1}{3600}\) hour

Therefor, 3 seconds = \(\frac{3}{3600}\)

                                  = \(\frac{1}{1200}\) hours

Formula to calculate the rate = \(\frac{\text{Total distance of jogging}}{\text{Time taken to cover the distance}}\)

                                                = \(\frac{0.0037879}{\frac{1}{1200} }\)                                                        

                                                = 1200 × 0.0037879

                                                = 4.545

                                                ≈ 4.6 miles per hour

Therefore, rate of jogging is 4.6 miles per hour.

Answer:

4.5

Step-by-step explanation:

the other person that did this rounded wrong they rounded up instead of down

Answer:

Hi the correct answer will be C, E, and F.

Step-by-step explanation:

Why C? 23 is greater than 16

Why E? 23 is greater than or equal to 16. Remember here says "or"

Why F? 23 is not equal to 16.

The number of bacteria  in an egg salad that is left out at room temperature is 256 option D.

The bacteria would double 4 times in 2 hours, so the total number of bacteria in the egg salad would be 256.

So we have 4 bacteria after 2 hours we have,

4 x 4 x 4 x 4 = 256 bacteria.

Probability denotes the likelihood of something happening. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of occurrences occurring.

Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also utilised in probability distribution, in which you will learn about the possible results of a random experiment. To determine the likelihood of a particular event occurring, we must first determine the total number of alternative possibilities.

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Complete question:

There are four bacteria in an egg salad that is left out at room temperature. After two hours, how many bacteria will be in the egg salad?

- 32

- 2048

- 8

- 256

Answer: each soda costs $1.5 and each hotdog costs $3.

Step-by-step explanation:

If H is the price for one hotdog and S is the price for one soda, we have the equations:

for Jack.

3*H + 2*S = $12

For Angie.

1*H + 4*S = $9

Now we can isolate one of the variables in one of the equations and then replace it in the other equation, let's isolate H in the second equation:

H = $9 - 4*S

now we replace it in the first eq

3*H + 2*S = $12

3*($9 - 4*S) + 2*S = $12

$27 - 12*S + 2*S = $12

-10*S = $12 - $27 = -$15

S = $15/10 = $1.5

Now we can replace it in the equation for H and get:

H = $9 - 4*$1.5 = $3

So each soda costs $1.5 and each hotdog costs $3.

Answer: One hotdog cost $3 and One soda costs $1.5

Step-by-step explanation:

Let hotdogs be denoted by h

Let sodas be denoted as s

Jack bought 3 hotdogs and 2 sodas for a total of $12. This can be written as:

3h + 2s = 12

Angie bought 1 hotdog and 4 sodas for $9. This can be written as:

h + 4s = 9

3h + 2s = 12

h + 4s = 9

1 × (3h + 2s = 12)

3 × (h + 4s = 9)

3h + 2s = 12

3h + 12s = 27

Subtract the equation

-10s = -15

s = -15/-10

s = 1.5

One soda cost $1.5

Since h + 4s = 9

h + 4(1.5) = 9

h = 9 - 6

h = 3

One hotdog costs $3

Answer:

1609.8

Step-by-step explanation:

Answer:

1609.34

Step-by-step explanation:

1 meter = 3.28 feet

1 mile = 5280 feet

Answer:

c. 25 minutes

Step-by-step explanation:

3x + 10 = 85

3x = 85 - 10

3x = 75

x = 25

Answer:

2.50 is the answer of the question

(20.80865204668)

Step-by-step explanation:

Man I think that this is the right ans but I did not do any kind of ROUND TO stuff...... so

Answer:

The answer is 27 because 3x9=27.

Answer:

The formula you will want to use is y(2) - y(1) over x(2) over x(1).

Basically, the Y variables (4 and 1) will be subtracted from each other. Aka, 1-4, which is -3. You put that over 5-(-5) or (5+5) which is 10. Now you have -3/10.

Answer:

the maximium height wou;d probablyt be be abliut youyrm other

Step-by-step explanation:

Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

Answer:

Can i see the full answer so I can help you?

Step-by-step explanation:

An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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To solve the expression -25 x (84/21) + (-3) x (-6), follow these steps:

Step 1: Perform the division inside the parentheses.
(84/21) = 4

Step 2: Replace the terms and rewrite the expression.
-25 x (4) + (-3) x (-6)

Step 3: Perform the multiplications.
-25 x 4 = -100
-3 x -6 = 18

Step 4: Rewrite the expression and perform the addition.
-100 + 18

Step 5: Calculate the final result.
-100 + 18 = -82

Your answer is -82.

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Answer:

x = 4

Step-by-step explanation:

2.25x=1.5x+6

divide on both sides by 1.5x which equals

1.5x=6

divide both sides by 1.5

x=4

Answer:

x=4

Step-by-step explanation:

you have to het x by its self

Answer:

\(y = 2x + 3\)

Step-by-step explanation:

We can find the slope.

\( \frac{ 5 + 1}{1 + 2 } = 2\)

so m is 2

\(y = 2x + c\)

Plug one the equations in to find c.

\( - 1 = 2( - 2) + c\)

\( - 1 = - 4 + c\)

\(3 = c\)

so the equation is

\(y = 2x + 3\)

Answer:

BC ≈ 9.0

Step-by-step explanation:

using the tangent ratio in the right triangle

tan42° = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AC}\) = \(\frac{BC}{10}\) ( multiply both sides by 10 )

10 × tan42° = BC , then

BC ≈ 9.0 ( to 1 dec. place )

Use STDDEV.s function to find standard deviation and AVERAGE function to find mean years of maturity.

To answer this question, you would need to open the provided Excel file and input the data into a spreadsheet. Once the data is inputted, you can use Excel's built-in functions to calculate the mean and standard deviation.

To calculate the mean years to maturity, you would use the AVERAGE function and select the column of years to maturity data. The result will give you the average years to maturity for the sample of 40 corporate bonds.

To calculate the standard deviation, you would use the STDEV.S function and select the column of yield data. This will give you the sample standard deviation for the yield data.

Overall, your spreadsheet should have columns for years to maturity and yield, with 40 rows of data for each bond. The mean years to maturity and sample standard deviation for yield can then be calculated using Excel functions.

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The sample mean years to maturity for corporate bonds:

Type the following formula and press Enter:
=AVERAGE(A1 : A40).

The sample standard deviation:

Press Enter: = STDEV.S(A1 : A40).

To calculate the sample mean and sample standard deviation for years to maturity of the 40 corporate bonds, follow these steps:
Open the Excel online file provided.
Assuming that the years to maturity data is in column A, click on an empty cell (let's say B1) to find the sample mean.

Type the following formula and press Enter:
=AVERAGE(A1 : A40).

This will calculate the mean of the years to maturity for the 40 corporate bonds.
To find the sample standard deviation, click on another empty cell (let's say B2) and type the following formula and press Enter:
=STDEV.S(A1 : A40)
This will calculate the sample standard deviation of the years to maturity for the 40 corporate bonds.
Now, you should have both the sample mean years to maturity and the sample standard deviation in cells B1 and B2 respectively.

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The mean and variance of the area A of a circle with a random radius R, uniformly distributed between 0 and 1, can be calculated using mathematical formulas. The mean of A is π/4, and the variance of A is (π^2 - 4)/16.

The area A of a circle is given by the formula A = π * R^2, where R is the radius. Since the radius R is uniformly distributed between 0 and 1, we can express the probability density function (PDF) of R as f(R) = 1 for 0 ≤ R ≤ 1, and f(R) = 0 elsewhere.

To find the mean of A, we need to calculate the expected value of A, denoted as E[A]. Using the formula for expected value, we have E[A] = ∫(A * f(R)) dR = ∫(π * R^2) dR from 0 to 1. Solving this integral gives E[A] = π/4.

To find the variance of A, we need to calculate E[A^2] first. Using the formula for expected value, we have E[A^2] = ∫(A^2 * f(R)) dR = ∫(π^2 * R^4) dR from 0 to 1. Solving this integral gives E[A^2] = π^2/5.

The variance of A can be calculated as Var[A] = E[A^2] - (E[A])^2 = π^2/5 - (π/4)^2 = (π^2 - 4)/16.

Therefore, the mean of A is π/4, and the variance of A is (π^2 - 4)/16 for a circle with a random radius R uniformly distributed between 0 and 1.

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The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

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Answer:

length of the opposite leg divided by the hypotenuse

Step-by-step explanation:

Answer:

×=-2

Step-by-step explanation:

or, -2x+5=9

or, -2x=9-5

or, -2x=4

or, -x=4/2

or, -x=2

or, x=-2

Answer:

A

Step-by-step explanation:

None of the statements A, B, or C can be determined to be true based on the given information. we do not have enough information to determine the values of P(A), P(A∩B), or P(B|A) from the given probabilities.

To determine which statement is true, let's analyze the given information.  We have:

P(B) = 4/1

P(A∪B) = 2/1

P(A|B) = 3/2

Let's evaluate each statement:

A) P(A) = 3/1

This statement is not directly supported by the given information. We cannot determine the value of P(A) solely based on the provided probabilities.

B) P(A∩B) = 12/1

This statement is also not supported by the given information. We do not have enough information to determine the value of P(A∩B).

C) P(B|A) = 5/1

This statement is not supported by the given information. We do not have any direct information about P(B|A), so we cannot determine its value.

D) A and B are not independent.

To determine whether A and B are independent, we can check if P(A∩B) = P(A) * P(B). However, as mentioned earlier, we do not have enough information to determine the value of P(A∩B). Therefore, we cannot conclude whether A and B are independent based on the given information.

In summary, none of the statements A, B, or C can be determined to be true based on the given information. The only conclusion we can draw is that we do not have enough information to determine the values of P(A), P(A∩B), or P(B|A) from the given probabilities.

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X is used as a Place holder for the value(s) in math. Oh and angle BAG should be around 135!

True, Monte Carlo simulation is used for statistical sampling where larger number of trials are used for the precise result.

Step by Step Explanation:

Therefore, it is true to have more number of trials in Monte Carlo simulation  statistical sampling for precise result.

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My friend consumed 8 donuts in one sitting. 8 donuts is a lower bound on how many donuts he is physically capable of eating in one sitting option A.

An element of K that is bigger than or equal to each member of S is referred to as an upper limit or majorant of a subset S of some preordered set (K, ) in mathematics, notably in order theory. In addition, each element of K that is smaller than or equal to each element of S is characterised as a lower limit or minorant of S.

A set that has an upper (or lower) bound is referred to as being majorized (or minorized), bounded from above, or minorized by that bound. In the mathematical literature, sets that have upper (or lower, respectively) limits are referred to as being bounded above (or below).

Friend consumed 8 doughnuts. So it is

lower bound on how can eat in a sitting.

Many donuts he lower bound is the lowest quantity in a set, as in our.

example, we definitely know he can eat 8 of them. We don't know how many more can be eat (upper bound) or is it exact amount be can eat.

Hence option (a) is correct.

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Answer: 112.5 cm3

Hope that helped!

Answer:

the answer is 112.5 cm3

Step-by-step explanation:

on edg