Some please help, Does anyone know this answer!

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

To algebraically carry out the line integral without using Green's Theorem, we can parametrize the boundary C as the union of two curves, C₁ and C₂.

Let C₁ be the upper semicircle of the circle x² + y² = 64, and C₂ be the line segment connecting the endpoints of C₁.

Parametrizing C₁ can be done using the parameter t ranging from 0 to π:

x = 8cos(t)

y = 8sin(t)

Parametrizing C₂ can be done using the parameter u ranging from -8 to 8:

x = u

y = √(64 - u²)

To evaluate the line integral, we can split it into two parts corresponding to C₁ and C₂:

∮C F · dr = ∮C₁ F · dr + ∮C₂ F · dr

For each curve, we can substitute the parametric equations into the expression for F · dr and perform the integration.

By parametrizing the boundary C as the union of C₁ and C₂, we can evaluate the line integral algebraically without relying on Green's Theorem.

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California has two senators and 53 House seats, it has a total of 55 electoral votes, which is the highest number of electoral college votes any state has.

California has 55 electoral college votes. When it comes to presidential elections, each state's electoral college vote depends on the number of representatives and senators it has. The number of seats in the House of Representatives is determined by the state's population, while every state gets two senators. California has the most representatives with 53 seats in the House of Representatives.California has 53 seats in the House of Representatives. For each of the 435 representatives, their states receive one electoral college vote, plus an additional two electoral votes for each of the two senators that represent their state in the US Senate. California has two senators and 53 House seats, it has a total of 55 electoral votes, which is the highest number of electoral college votes any state has.

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a) The 90% confidence intervals for the population mean 30-year fixed mortgage rate is (0.0762, 0.0708)

b) The 99% confidence intervals for the population mean 30-year fixed mortgage rate is (0.07394, 0.07306)

Given,

Mean fixed mortgage rate = 30

Random sample, n = 14

Sample mean, x = 7.35% = 0.0735

Population Standard Deviation, σ = 0.6% = 0.006

We have to compute 90% and 99% confidence interval for the population mean;

Here,

Formula to find confidence interval for population standard deviation;

x ± tₙ₋₁, ∝/2 σ/√2

Now,

a) Significance Level, ∝ = 1 - 0.90 = 0.1

Critical Value, tn-1 ∝ = t₂₇, ₀.₀₅ = 1.703

Now, the 90% confidence intervals for the population mean 30-year fixed mortgage rate will be:-

0.0735 ± (1.703) 0.006/√14

= 0.0735 ± 0.0027

= (0.0735 + 0.0027, 0.0735 - 0.0027)

= (0.0762, 0.0708)

b) Significance Level, ∝ = 1 - 0.99 = 0.01

Critical Value, tn-1 ∝ = t₂₇, ₀.₀₀₅ = 0.2771

Now, the 99% confidence intervals for the population mean 30-year fixed mortgage rate will be:-

0.0735 ± (0.2771) 0.006/√14

= 0.0735 ± 0.00044

= (0.0735 + 0.00044, 0.0735 - 0.00044)

= (0.07394, 0.07306)

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Answer:

Budget= $1,100

Step-by-step explanation:

Giving the following information:

They spent $737 on equipment and 33% of the total budget on costumes.

If they spent all their budget on equipment and costumes, then the percentage spent on equipment was 67% (100 - 33).

Then, to calculate the total budget, we need to use the following formula:

Budget= 737 / 0.67

Budget= $1,100

Answer:

I think the answer is 2.3

According to the given exponential equations it is proved that b = (ac) / (a+b) where a+b ≠ 0.

We are given the first equation as \(3^{a} = 21^{b}\) ----(1) i.e 3 to the power a is equal to 21 to the power b.

The next exponential equation is \(7^{c} = 21^{b}\) ----(2)

We know, 21 can be written as 3*7 because they are the factors of 21. Therefore, \(21^{b} = (3*7)^{b} = 3^{b}7^{b}\)

Substituting equations (1) and (2), we get:

\(3^{a}= 3^{b} *7^{b}\)

Taking logarithm base 3 on both sides:

a = blog3(37)

a = b*(log3(3) + log3(7))

a = b*(1 + log3(7))

b = a / (1 + log3(7)) ------ (3)

Similarly, taking logarithm base 7 on both sides of equation (2):

c = b*log7(21)

c = b*(log7(3) + log7(7))

c = b*(1 + log7(3/7))

b = c / (1 + log7(3/7)) ------ (4)

Substituting (3) and (4) in the given equation, we get:

a / (1 + log3(7)) = (ac) / (a+b) * (1 + log7(3/7))

After cross-multiplying and simplifying the equations,

b = (ac) / (a+b)

Hence,b = (ac) / (a+b)

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Reason:

0.8 is the same as 0.80

Subtract the values to get 0.80 - 0.58 = 0.22

You can think of it like saying 80-58 = 22, then you place a decimal point before each of the three values.

Answer:

Yes, your answer is correct.

if your dog is currently barking, there is approximately a 27.27% chance that a thunderstorm is approaching.

To solve this problem using Bayes' Rule, let's define the events:

A: Thunderstorm is approaching

B: Dog is barking

We are given the following probabilities:

P(A) = 0.2 (20% chance of a thunderstorm approaching)

P(B|A) = 0.6 (60% chance of the dog barking when a thunderstorm is approaching)

P(B|A') = 0.4 (40% chance of the dog barking when there is no thunderstorm approaching)

We need to find P(A|B), which is the probability of a thunderstorm approaching given that the dog is barking.

Using Bayes' Rule, the formula is:

P(A|B) = (P(B|A) * P(A)) / P(B)

To calculate P(B), we can use the law of total probability:

P(B) = P(B|A) * P(A) + P(B|A') * P(A')

Since P(A') = 1 - P(A) (complement rule), we have:

P(B) = P(B|A) * P(A) + P(B|A') * (1 - P(A))

Substituting the given values:

P(B) = 0.6 * 0.2 + 0.4 * (1 - 0.2)

= 0.12 + 0.4 * 0.8

= 0.12 + 0.32

= 0.44

Now, we can calculate P(A|B) using Bayes' Rule:

P(A|B) = (P(B|A) * P(A)) / P(B)

= (0.6 * 0.2) / 0.44

= 0.12 / 0.44

≈ 0.2727

Therefore, if your dog is currently barking, there is approximately a 27.27% chance that a thunderstorm is approaching.

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Answer:

D. y + 7 = -6/5(x + 3)

Step-by-step explanation:

Answer:

B. y + 7 = -6/5 (x+3)

Step-by-step explanation:

Use the given slope and point to substitute into the point-slope formula  y − y 1 = m ( x − x 1 ) .

Slope-intercept form:  y = − 6 /5 x − 53 /5

Point-slope form:  y + 7 = − 6 /5 ⋅ ( x + 3 )

Answer:

if a ray divides an angle into two congruent angles, then the ray is an angle bisector.

Step-by-step explanation:

if p statement is before the comma, called the hypothesis of the conditional statement.

then q statement is after the comma and it is called the conclusion of the conditional statement.

Answer:

4hours

6hours

2hours

Step-by-step explanation:

if you add it all the equal is 12hours

#carry on learning

Answer:

arc BD = 148°

Step-by-step explanation:

The arc BC  is twice the inscribed angle BDC

arc BC = 2 × 56° = 112°

The 3 arcs sum to 360° , then

arc BD = 360° - (100 + 112)° = 360° - 212° = 148°

The total number of ways sandwiches and james makes are 1905.

Using the combination formula.

The number of ways in which 1 or 2 slices of bread is selected.

= 5C1 + 5C2

= 5 + 10

= 15

Now,

The number of ways to choose the ingredients:

= 2⁷ - 1

= 127 ways.

Number of ways sandwiches can james makes:

15 x 127 = 1905

Thus, the total number of ways sandwiches and james makes are 1905.

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Answer:

18

Step-by-step explanation:

6*3=18

When solving absolute value inequalities involving the greater than symbol (>) or greater than or equal to symbol (≥), we have to consider two cases absolute value expression greater than the constant and less than the constant.

The absolute value expression is greater than the constant:

|x| > c or |x| ≥ c

In this case, we can split the solution set into two parts: x < -c and x > c. The solution is all real numbers less than -c and all real numbers greater than c.

The absolute value expression is less than the constant:

|x| < c or |x| ≤ c

In this case, we can split the solution set into two parts: -c < x < c. The solution is all real numbers between -c and c, excluding -c and c.

For example, consider the inequality |x| > 2. The solution is x < -2 or x > 2, so the solution set is {x | x < -2 or x > 2}.

--The question is incomplete, answering to the question below--

"When solving inequalities that involve absolute value, there are two cases to consider for inequalities involving >. Explain"

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The gradient on the curve x² + xy + y² = 12 - x² - y² at the point (1, 2) is -6/5.

The equation of the tangent line to the curve going through the point (1, 2) is, 6x + 5y = 16.

Given that the equation of the curve is,

x² + xy + y² = 12 - x² - y²

2x² + y² + xy = 12

y² + xy = 12 - 2x²

Differentiating the equation with respect to 'x' we get,

2y (dy/dx) + x (dy/dx) + y = 0 - 4x

(2y + x) (dy/dx) = -4x - y

dy/dx = - (4x + y)/(2y + x)

So the gradient of the curve at the point (1, 2) is = dy/dx at (1, 2) = - (4*1 + 2)/(2*2 + 1) = -6/5

The equation of the tangent to the curve going through the point (1, 2) is given by,

(y - 2) = (-6/5) (x - 1)

5y - 10 = 6 - 6x

6x + 5y = 16

Hence the equation of the tangent is 6x + 5y = 16.

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The correct answer is 63c9.  To simplify the expression (9c) (7c8), we need to multiply the coefficients (numbers) and combine the variables with the same base.

In this case, we have:

(9c) (7c8) = 9 * 7 * c * c8

Multiplying the coefficients gives us 9 * 7 = 63.

Multiplying the variables with the same base, 'c' in this case, means adding their exponents. Here, we have c * c8, which equals c^(1+8) = c^9.

Putting it all together, (9c) (7c8) simplifies to 63c^9.

Therefore, the expression equivalent to (9c) (7c8) is 63c^9.

So, the correct answer is 63c9.

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Answer:

5

Step-by-step explanation:

Step-by-step explanation:

By definition, pi is equal to c/d, where c is the circumference and d is the diameter.

This means that C = pi(d).

However, since diameter is twice the radius, if we let the radius be r cm, d=2r.

This gives that C=2pi(r).

Answer:

5.1 or 5 1/10 miles

Step-by-step explanation:

Step 1:

3 mph × 1.7 hours     Equation

Step 2:

5.1   Multiply

Answer:

5.1 or 5 1/10 miles

Hope This Helps :)

In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle

The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems

The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system

Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

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To calculate the probability of pulling a red unicorn from the barrel and then, without replacement, pulling a black unicorn from the barrel, we need to use conditional probability.
Let's assume the barrel contains 4 unicorns: 2 red unicorns and 2 black unicorns.

The probability of pulling a red unicorn on the first draw is 2/4 (or 1/2), since there are 2 red unicorns out of 4 total unicorns. Now, assuming that the first unicorn was a red unicorn, there are 3 unicorns left in the barrel, but only 1 black unicorn. So the probability of pulling a black unicorn on the second draw, given that the first unicorn was a red unicorn, is 1/3.

Therefore, the probability of pulling a red unicorn from the barrel and then, without replacement, pulling a black unicorn from the barrel is: P(Red, then Black) = P(Red) x P(Black | Red)
P(Red, then Black) = (1/2) x (1/3)
P(Red, then Black) = 1/6
So the probability of pulling a red unicorn from the barrel and then, without replacement, pulling a black unicorn from the barrel is 1/6 or approximately 0.17.

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Given the function f(x)=sin(2πx), with x = 0.3, f(x) = 0.951057. The objective is to approximate the value of f(0.2) using the first two terms in the Taylor series and Vx=0.1.

We know that the Taylor series for a function f(x) can be written as:f(x)=f(a)+f′(a)(x−a)+f′′(a)2(x−a)2+…+f(n)(a)n!(x−a)n+…The first two terms of the Taylor series are given by:f(x)=f(a)+f′(a)(x−a)The first derivative of f(x) is given by:f′(x)=2πcos(2πx)On substituting x = a = 0.1, we get:f′(0.1) = 2πcos(2π * 0.1) = 5.03118603447The value of f(x) at a=0.1 is given by:f(0.1) = sin(2π * 0.1) = 0.587785252292With a=0.1, the first two terms of the Taylor series become:f(x)=0.587785252292+5.03118603447(x−0.1) = 0.587785252292+0.503118603447x−0.503118603447×0.1Using x=0.2 and substituting the values of a and f(a) in the equation above, we get:f(0.2)=0.587785252292+0.503118603447*0.2−0.503118603447×0.1=0.712261After approximating the value of f(0.2) using the first two terms in the Taylor series,

we can conclude that the value of f(0.2) = 0.712261 with a = 0.1, with an error of approximately 0.012796.

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The statement "Ten cards are selected out of a 52 card deck without replacement and the number of Jacks is observed. This is an example of a Binomial Experiment" is false.

A binomial experiment is an experiment that is repeated multiple times with each repetition having only two potential outcomes. In a binomial experiment, the probability of success remains constant from trial to trial.

The criteria for a binomial experiment are as follows:

P(x) = (ⁿCₓ)(pˣ)(q^(n-x))

Where p is the probability of success, q is the probability of failure (q = 1 - p), and ⁿCₓ is the combination formula.

Therefore, the statement "Ten cards are selected out of a 52-card deck without replacement and the number of Jacks is observed. This is an example of a "Binomial Experiment" being false. This is because the probability of drawing a jack changes with each trial, as the deck's composition changes after each card is drawn.

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Answer:

y = -x + 4

Step-by-step explanation:

y + 2 = -x - 1

y = - x - 1 - 2

y = -x - 3

Point: (-2,6)

Slope -1

y-intercept: 6 - (-1)(-2)

= 6- 2 = 4

Based on the Year 2 balance sheet, the largest cash dividend that Dakota could pay is $16,500.

Cash dividends refers to the payments that companies make to their shareholders which is usually on the strength of earnings. They often represent opportunity for companies to share the benefit of business profits.

Based on the balance sheet, the largest cash dividend that Dakota could pay in Year 2 is:

= $ 31,500 + $ 5,000 - $ 20,000

= $ 16,500.

Missing questions:Dakota Company experienced the following events during Year 2:

Acquired $20,000 cash from the issue of common stock.

Paid $20,000 cash to purchase land.

Borrowed $2,500 cash.

Provided services for $40,000 cash.

Paid $1,000 cash for utilities expense.

Paid $20,000 cash for other operating expenses.

Paid a $5,000 cash dividend to the stockholders.

Determined that the market value of the land purchased in Event 2 is now $25,000.

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When applying the integral test for the convergence of a series, we can use differential calculus to check if the function being integrated is decreasing. The integral test is a method for determining the convergence or divergence of a series by comparing it to an integral of a related function. If the integral of the function converges, then the series also converges, and if the integral diverges, then the series also diverges.

To apply the integral test, we need to first identify a function that is continuous, positive, and decreasing on the interval of interest. We then integrate this function from the starting point of the series to infinity. If the integral converges, then the series also converges, and if the integral diverges, then the series also diverges.

Differential calculus can be used to check that the function being integrated is decreasing. Specifically, we can use the first derivative of the function to determine if it is decreasing on the interval. If the derivative is negative, then the function is decreasing, and if the derivative is positive, then the function is increasing. If the derivative is zero, then the function may or may not be decreasing, depending on its behavior at that point.

Overall, the integral test and the use of differential calculus provide powerful tools for determining the convergence or divergence of a series. By identifying a suitable function and checking it's decreasing behavior using the derivative, we can use the integral test to evaluate the convergence of a wide range of series.

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