16Acos(x)-Bsin(x)-2Asin(x)+19Bcos(x)=65cos(x) can someone helps me to find the exactly value of A and B ?

The size of angle ACB in triangle ABC is approximately 35.5 degrees.

To calculate the size of angle ACB, we can use the Law of Cosines, which states that in any triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of those sides and the cosine of the included angle.

The formula for the Law of Cosines is:

c^2 = a^2 + b^2 - 2ab * cos(C)

Where:

c is the side opposite to angle C (in this case, side AB with length 7cm)

a and b are the other two sides (in this case, sides AC and BC with lengths 6cm and 8cm, respectively)

C is the angle we want to find (angle ACB)

Plugging in the given values, we have:

7^2 = 6^2 + 8^2 - 2 * 6 * 8 * cos(C)

Simplifying the equation, we get:

49 = 36 + 64 - 96 * cos(C)

49 = 100 - 96 * cos(C)

96 * cos(C) = 100 - 49

96 * cos(C) = 51

cos(C) = 51 / 96

To find the angle ACB, we need to take the inverse cosine (also known as arccos) of the value we just calculated:

C = arccos(51 / 96)

Using a calculator, we find that C is approximately 35.5 degrees.

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Answer:

its the fourth one g(x)=-⅔x+4

Step-by-step explanation:

the incline of the graph is down , and the point the graph meets y axis is +4

Answer:nits c

Step-by-step explanation:

The area of 11.6 square inches is equivalent to approximately 74.84 square centimeters.

To convert square inches to square centimeters, we need to use the conversion factor 1 inch = 2.54 centimeters. Since we are dealing with areas, we need to square this conversion factor as well.

Convert inches to centimeters:

11.6 inches * 2.54 centimeters/inch = 29.464 centimeters

Square the conversion factor:

(2.54 centimeters/inch) * (2.54 centimeters/inch) = 6.4516 square centimeters/square inch

Calculate the area in square centimeters:

29.464 centimeters * 6.4516 square centimeters/square inch =  74.84 square centimeters.

Rounding this value to two decimal places, the area of 11.6 square inches is approximately 190.29 square centimeters.

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Answer:

x = 6

Step-by-step explanation:

2x + 4 = 3x - 2

2x - 3x = -2 - 4

-x = -6

x = 6

Answer:

x = 6

Step-by-step explanation:

We are given this equation:

2x + 4 = 3x - 2

And we want to evaluate the equation for x.

To do this, we need to isolate the variable (x) on one side of the equation.

We can start by putting the numbers on one side.

We can subtract 4 from both sides of the equation to start. Remember that when solving equations, whatever we do on one side of the equation, we need to do it on the other side as well.

2x + 4 = 3x - 2

     -4          -4

___________________

2x = 3x - 6

Now, let's put the variables on the other side.

Subtract 3x from both sides.

2x = 3x - 6

-3x   -3x

______________

-x = -6

Now, the numbers and variables are on different sides, however we are not done yet, as we need to take care of the negatives, as x shouldn't be negative in this case.

-x is the same as -1x, or -1 * x.

So, in order to get rid of the negatives, we can either multiply or divide both sides by -1.

Let's multiply both sides by -1.

-1(-x) = -1(-6)

x = 6

The value of x is 6.

There is sufficient data to prove that the heart rate was less than 120 beats per minute (P-value = 0.002).

For the population mean weight control heart rate of 20-year-olds, the 95% confidence interval is (98.07, 115.93).

Step-by-step explanation:

This is a test of the population mean's theory.

The assertion is that a heart rate of less than 120 bpm exists.

The alternative and null hypothesis are then:

h0 : μ = 120

ha : μ < 120

The level of significance is 0.05.

The sample has a n=100 size.

M=107 is the sample mean.

Due to the unknown population standard deviation, we estimate it using the sample standard deviation, which has a value of s=45.

Using the following formula, the estimated standard error of the mean is calculated:

Sm = \(\frac{s}{\sqrt{n} }\)= \(\frac{45}{\sqrt{100} }\) = 4.5

The t-statistic can then be calculated as follows:

T = \(\frac{m-μ}{\frac{s}{\sqrt{n} } }\) = 107-120/4.5 = -13/4.5 -2.88

The t-statistic can then be calculated as follows:

df= n-1 = 100-1 = 99

These sample size's degrees of freedom are:

Given that this test has 99 degrees of freedom, a left-tailed design, and a t value of -2.889, the P-value is determined as follows (using a t-table)

p-value = p(t<-2.88)= 0.002

The effect is significant because the P-value (0.002) is less than the 0.05 level of significance.

The naive theory is disproved.

There is sufficient proof to back up the assertion that the heart rate was less than 120 bpm.

A 95% confidence interval for the mean must be calculated.

Since the population standard deviation is unknown, we must infer it from the sample standard deviation in order to get the critical number using a t-students distribution.

M=107 is the sample mean.

N=100 is the sample size.

When σ is unknown, an estimation of σM is made by dividing s by the square root of N:

Sm =\(\frac{s}{\sqrt{N} }\) =\(\frac{45}{\sqrt{100} }\) =4.5

The t-value for a 95% confidence interval is t=1.984.

The margin of error (MOE) can be calculated as:

MOE = t*Sm = 1.984 * 4.5 = 8.92

Then, the lower and upper bounds of the confidence interval are:

LL = M - t*Sm = 107- 8.92 = 98.07

UL = M +t *Sm = 107 + 8.92 = 115.93

The 95% confidence interval for the population mean weight control heart rate of 20-year-olds is (98.07, 115.93).

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the binomial (x - 2) is not a factor of the expression x^3 - 11x^2 + 16x + 84.

To determine which binomial is not a factor of the expression x^3 - 11x^2 + 16x + 84, we can use synthetic division to test each of the binomials (x + a), where a is a constant.

We can set up the synthetic division table as follows:

 |   1   -11   16   84

a | a -11a 16a-11

| - -a 11a+a-5

5 | 1 -6 21

In the table, the first row represents the coefficients of the cubic polynomial, and the second row represents the result of dividing by the binomial (x + a). The third row shows the coefficients of the resulting quadratic polynomial after the division.

For a binomial to be a factor of the original polynomial, the remainder in the last cell of the second row must be zero. So, we need to test each of the binomials (x + a) for which the remainder in the second row is not zero.

For (x + 1), the remainder is 16 - 11 + 1 = 6.

For (x - 1), the remainder is 16 - 11 - 1 = 4.

For (x + 2), the remainder is 4(2) - 11(2) + 16 + 84 = 39.

For (x - 2), the remainder is 4(-2) - 11(-2) + 16 + 84 = 133.

For (x + 3), the remainder is 9(3) - 11(3) + 16 + 84 = 46.

For (x - 3), the remainder is 9(-3) - 11(-3) + 16 + 84 = 156.

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Answer:

D for the first one and the second one

Step-by-step explanation:

i learned this trust me

Answer:

8%

Step-by-step explanation:

2/25*100

=8%

Answer:

2.6667

Step-by-step explanation:

you divide 8 by 3

Answer: X=2

Step-by-step explanation: its pretty hard to explain i dont think i can explain

Answer:

Convenience sample

Step-by-step explanation:

Getting paid to respond

Answer:

Step-by-step explanation:

3 pounds:7 dollars

1 pound: 2.33 dollars

divide 3 by 3 to find 1. divide 7 by 3.

The brackets are first, then the multiplication

Let's call x the cost of the desktop. So, the cost of the laptop would be x-400 because it costs $400 less than the desktop.

Then, we express the following based on the given information.

Note that we use the percentages as their decimal expression. Let's solve for x.

The cost of the desktop is $3,200.

The cost of the laptop is $2,800.

Answer:

10 weeks

Step-by-step explanation:

Answer:

length times width for area so its 5x6=30

Answer:

X=5, y=-8

Step-by-step explanation:

-X + y =-13 equation 1

-8x-4y=-8 equation 2

4(-x+y)=4(-13). Multiply equation 1 by 4 to eliminate y

-4x + 4y =-52

———————————-

-4x + 4y =-52 equation 1 after multiplying by 4

-8x-4y=-8. Equation 2

-12x=-60 added 2 equations above

x=5

solve for y

-x+y=-13

-5+y=-13

y=-8

The value of x and y is 5 and -8.

Given that,

Based on the above information, the calculation is as follows:

-X + y =-13 ........(1)

-8x-4y=-8 ........(2)

Now we have to multiply by 4 in equation 1  

4(-x+y)=4(-13)

-4x + 4y =-52

-8x-4y=-8

-12x=-60  

x = 5

Now the value of y is  

-x+y=-13

-5+y=-13

y = -8

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Answer:

Step-by-step explanation:

Given μA = $2.78, σA = $0.25, μB = $2.45, σB = $0.20, you want ...

The probabilities of interest are found using the CDF function of a suitable calculator or spreadsheet.

(a) P(A < $2.50) ≈ 0.1314

(b) P(B < $2.50) ≈ 59.87%

(c) P(B > $2.78) ≈ 0.0495

__

Additional comment

We note that you have provided your own answers to these questions. The answer you give for question B is not given as the percentage requested.

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Answer:   D

d. because they are not subtracted(C), the two fractions do not add up to 13(B), and the number is not equal to 2(A).

Step-by-step explanation:

let AB when products meet the ground at c.

answer

y=-7.4x+0.7

Step-by-step explanation:

Data categorization is a process of organizing and grouping data into meaningful classes or categories.

This process is often used to simplify data and make it easier to understand and analyze. Data categorization involves breaking down a large set of data into smaller, more manageable groups. For example, a company may group customers into categories based on their age, income, or location. Each group can then be analyzed separately to better understand customer behavior. Categorizing data can also help identify trends or patterns that may not be visible when looking at the data as a whole. Categorization can also be used to identify outliers or anomalies in the data. By breaking down the data into smaller groups, it becomes easier to see which elements don’t fit the pattern or are not part of the normal range. Categorizing data can be done using a variety of methods. For example, data can be divided into numerical ranges or grouped into categories such as low, medium, and high. Data can also be grouped using descriptive terms, such as customer type or product type. Once the data is categorized, calculations such as averages, medians, and modes can be used to analyze the data. This can help to identify patterns or trends that can be used to make decisions or draw conclusions.

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To determine whether the sequence \(\(a_n = \frac{1}{3n^4}\)\) is increasing, decreasing, or not monotonic, we can analyze the behavior of the terms as \(\(n\)\)increases.

Let's calculate the values of \(\(a_n\)\) for a few values of \(\(n\)\) to observe any patterns:

\(\(a_1 = \frac{1}{3(1)^4} = \frac{1}{3}\)\)

\(\(a_2 = \frac{1}{3(2)^4} = \frac{1}{48}\)\)

\(\(a_3 = \frac{1}{3(3)^4} = \frac{1}{243}\)\)

\(\(a_4 = \frac{1}{3(4)^4} = \frac{1}{768}\)\)

We can see that as \(\(n\)\) increases, the values of \(\(a_n\)\) are decreasing. This indicates that the sequence is decreasing.

To formally prove this, we can compare the terms \(\(a_n\)\) and \(\(a_{n+1}\)\) for any \(\(n\)\) :

\(\(a_n = \frac{1}{3n^4}\)\)

\(\(a_{n+1}\) = \(\frac{1}{3(n+1)^4}\)\)

To determine if \(\(a_n\)\) is less than \(\(a_{n+1}\)\) , we can simplify and compare the fractions:

\(\(\frac{1}{3n^4} < \frac{1}{3(n+1)^4}\)\)

Cross-multiplying and simplifying:

\(\(3(n+1)^4 < 3n^4\)\)

Expanding the binomial and further simplifying:

\(\(n^4 + 4n^3 + 6n^2 + 4n + 1 < n^4\)\)

Since the left side of the inequality is positive and the right side is \(\(n^4\)\) (which is positive for all \(\(n\))\) , we can see that the inequality is not true for any \(\(n\).\) Therefore, \(\(a_n\)\) is always less than \(\(a_{n+1}\)\) , indicating that the sequence is decreasing.

In conclusion, the sequence \(\(a_n = \frac{1}{3n^4}\)\)  is a decreasing sequence.

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Answer:

78.5÷3.14=25

56.272×41.2=2318.4064

429×338×712=103241424

447÷513=0.8713450292

Step-by-step explanation:

hope it will help!

Answer:

The second choice

Step-by-step explanation:

Let's give turkey the variable t. Since the turkey is 142 calories, and calories are the units, 1t = 142.

Let's give the chicken the variable x. Since the chicken is 58 calories less than the turkey, the equation you would have to set up to get what the chicken's calories are is: 142 - 58 = 1x.

Whatever x equals is the number of calories the chicken has, and the equation has to show the number of calories in the chicken being added with 58 to equal what the turkey has.

since 142 - 58 is 84,

x = 84, and the equation being used needs to add 84 and 58 together.

Answer:

A)

x - 58 = 142

x = 200

Step-by-step explanation:

For this problem, you are using subtraction. So, to solve this you will need to use addition because addition is the inverse operation for subtraction.

First, add the factor and the result together.

58 + 142 = 200 (use standard algorithm to solve)

Then, see if it's correct!

200-58 = 142

Its correct!

Therefore, A would be the correct answer.

-kiniwih426

Answer:

No, it can not

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

it would be 1.5

Step-by-step explanation:

all you have to do is divide 7.5÷5= 1.5

hope this helps

The height of the debris 1 second after the explosion is 96 feet, and it will take 7 seconds for the debris to hit the ground.

A) To find the height of the debris 1 second after the explosion, we can substitute t = 1 into the given function h(t) = 112t - 16t^2.

By substituting t = 1, we have h(1) = 112(1) - 16(1)^2 = 112 - 16 = 96 feet.

Therefore, after 1 second, the height of the debris is 96 feet.

B) To determine the number of seconds it will take for the debris to hit the ground, we need to find the time when the height of the debris becomes zero.

By setting h(t) = 0 in the function h(t) = 112t - 16t^2, we can solve the quadratic equation 16t^2 - 112t = 0 for t.

Factoring out a common factor of 16t, we have 16t(t - 7) = 0.

This equation is satisfied when t = 0 (which corresponds to the initial time) or when t - 7 = 0.

Therefore, the debris will hit the ground 7 seconds after the explosion.

In summary, the height of the debris 1 second after the explosion is 96 feet, and it will take 7 seconds for the debris to hit the ground.

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Answer:

11.5hrs

Step-by-step explanation:

2.3hrs multiply by 5

Answer:

2x/y ??

Step-by-step explanation:

Answer: If the sign missing is supposed to be a plus sign, then the answer is 12x+24y

Step-by-step explanation: