Brianna is fishing on a pier 10 1/2 feet above sea level. Her hook is 20 3/4 feet below sea level.
What is the distance between Brihanny and her hook?

The amount of each quarterly payment, rounded, for a $30,000 loan with a 6% annual interest rate to be paid off in 10 equal quarterly payments is $2,803 (option B).


To calculate the amount of each quarterly payment, we need to use the formula for calculating the equal payments on an installment loan. In this case, the loan amount is $30,000, the annual interest rate is 6%, and the loan term is 10 quarters.

Using the formula, we can determine that the amount of each quarterly payment is approximately $2,803. This amount is rounded to the nearest whole number, as specified in the question. Therefore, option B, $2,803, is the correct answer. The other options (A, C, and D) are not applicable to the calculation based on the given information.

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Answer:

I attached a picture for the answer.

Step-by-step explanation:

Hope this helps!! Please make me Brainliest!

Answer:

Please Check the picture the answer is in there!

Answer:

serve; the

Step-by-step explanation:

In the given sentence the error is in the use of the punctuation mark. The comma has been used in the sentence that is not correct. The correct punctuation mark will be a semi-colon (;). A semicolon is used to bring a pause between two independent clauses. These clauses or the part of the sentences are closely related and have equal importance in the sentence.

Answer:

the slope of the line that passes throught (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)

given

(-4,3) and (-8,6)

slop=(6-3)/(-8-(-4))=(3)/(-8+4)=3/-4=-3/4

slope is -3/4

Step-by-step explanation:

Answer:

(y2-y1)/(x2-x1)

(6+1)/ (-8-10)

7/ -18 is the slope

Step-by-step explanation:

Given that δijk, j = 420 inches, k = 550 inches and ∠i=27°. We need to find the area of δijk, to the nearest square inch. To find the area of δijk, we need to use the formula for the area of a triangle which is given as: A = (1/2) × b × h Where b is the base and h is the height of the triangle.

So, first we need to find the length of the base b of the triangle δijk.In Δijk, we have: j = 420 inches k = 550 inches and ∠i = 27°We know that: tan ∠i = opposite side / adjacent side= ij / j⇒ ij = j × tan ∠iij = 420 × tan 27°≈ 205.45 inches Now we can find the area of the triangle using the formula for the area of a triangle. A = (1/2) × b × h Where h = ij = 205.45 inches and b = k = 550 inches∴ A = (1/2) × b × h= (1/2) × 550 × 205.45= 56372.5≈ 56373 sq inches Hence, the area of the triangle δijk is approximately equal to 56373 square inches.

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To find the measure of side of triangle using the law of cosines , we use  a² = b² + c² − 2bc·cosA.

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.

Let a, b, and c be the lengths of the three sides of a triangle and A, B, and C be the three angles of the triangle. Then, the law of cosine states that:

a² = b² + c² − 2bc·cosA.

The law of cosine is also known as the cosine rule. This law is useful to find the missing information in any triangle.

To find the measure of the side of triangle using the law of cosines :

Let  a and b be the length of two sides of triangle and the angle between them measuring ∅ . So , to find the third side

Using the law of cosines formula,

a² = b² + c² − 2bc·cosA.

=> a² = b² + c² − 2bc·cos ∅

Replace all the values ,You will able to find third side .

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Answer:

Step-by-step explanation:

=============================================

Work Shown:

Let's call the "height" to be the "width".

The area of a rectangle is

area = length*width

We're told the width is 8.5 feet

If the length is some unknown variable L, then

area = length*width

area = L*8.5

area = 8.5L

We want the area to be at least 76.5 square feet

This means 8.5L is either equal to 76.5, or larger than it

\(\text{ area } \ge 76.5\\\\\\8.5L \ge 76.5\\\\\\\frac{8.5L}{8.5} \ge \frac{76.5}{8.5} \ \ \text{ ... divide both sides by 8.5}\\\\\\L \ge 9\\\\\\\)

This shows the length can be 9 feet or larger.

In other words, the minimum length is 9 feet.

Answer:

Rounded up percentages:

Corn: 15.65%

Green Beans: 16.52%

Tomatoes: 6.96%

Carrots: 13.04%

For exact percentages divide this with a calculator:

Corn: 360/2300

Green Beans: 380/2300

Tomatoes: 160/2300

Carrots: 300/2300

The coordinates of the problem are (2,68)

you are correct!

The forward Fourier Transform formula for a signal is X(jω) = F{x(t)}. The inverse Fourier Transform formula is x(t) = F^(-1){X(jω)}. The two formulas are related by the Fourier Transform property called duality or symmetry.

1. The forward Fourier Transform formula is given by:

  X(jω) = ∫[x(t) * e^(-jωt)] dt

  This formula calculates the complex spectrum X(jω) of a signal x(t) by integrating the product of the signal and a complex exponential function.

2. The inverse Fourier Transform formula is given by:

  x(t) = (1/2π) ∫[X(jω) * e^(jωt)] dω

  This formula reconstructs the original signal x(t) from its complex spectrum X(jω) by integrating the product of the spectrum and a complex exponential function.

  The similarity between these two formulas is known as the Fourier Transform property of duality or symmetry. It states that the Fourier Transform pair (X(jω), x(t)) has a symmetric relationship in the frequency and time domains. The forward transform calculates the spectrum, while the inverse transform recovers the original signal. The duality property indicates that if the spectrum is known, the inverse transform can reconstruct the original signal, and vice versa.

3. To determine the Fourier Transform of the given signal x(t) = [-1, 1, 0, -1], we apply the defining integral:

  X(jω) = ∫[-1 * e^(-jωt1) + 1 * e^(-jωt2) + 0 * e^(-jωt3) - 1 * e^(-jωt4)] dt

  Here, t1, t2, t3, t4 represent the respective time instants for each element of the signal.

  Substituting the time values and performing the integration, we can obtain the Fourier Transform of x(t).

Note: Please note that without specific values for t1, t2, t3, and t4, we cannot provide the numerical result of the Fourier Transform for the given signal. The final answer will depend on these time instants.

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Answer:

0.451

Step-by-step explanation:

When you do cos^-1 0.9 ~ .451

You can’t add pi because you have an interval.

Hope this helps :)

A. A sample size of 62 should be taken for a 95% level of confidence.

B. The sample size of 107 should be taken for a 99% level of confidence.

a. To estimate the sample size needed to estimate the mean time a staff member spends with each patient, we can use the formula for sample size calculation:

n = (Z^2 * σ^2) / E^2

Where:

n = required sample size

Z = Z-score corresponding to the desired level of confidence

σ = population standard deviation

E = desired margin of error

For a 95% level of confidence:

Z = 1.96 (corresponding to a 95% confidence level)

E = 2 minutes

σ = 8 minutes (population standard deviation)

Substituting these values into the formula:

n = (1.96^2 * 8^2) / 2^2

n = (3.8416 * 64) / 4

n = 245.9904 / 4

n ≈ 61.4976

Since we can't have a fraction of a sample, we round up the sample size to the nearest whole number. Therefore, a sample size of 62 should be taken for a 95% level of confidence.

b. For a 99% level of confidence:

Z = 2.58 (corresponding to a 99% confidence level)

E = 2 minutes

σ = 8 minutes (population standard deviation)

Substituting these values into the formula:

n = (2.58^2 * 8^2) / 2^2

n = (6.6564 * 64) / 4

n = 426.0096 / 4

n ≈ 106.5024

Rounding up the sample size to the nearest whole number, a sample size of 107 should be taken for a 99% level of confidence.

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Answer:

a x n = n √ a = n = √ a a x = n = √ a a 144 v ⋅ 3 ⋅ V = 432 v V

Step-by-step explanation:

n = √ a a Multiply 3 by 144 . 432 v V

List all of the solutions. a x n = n √

a = n = √ a

a x = n = √ a a 144 v ⋅ 3 ⋅ V = 432 v V

Answer: 24\(\sqrt{6}\)

Step-by-step explanation:

1. Identify that 4\(\sqrt{18}\) is equal to 4 times \(\sqrt{2}\) times \(\sqrt{3^2}\). \(\sqrt{3^2}=3\). Our rational numbers are now 4 and 3. 4 times 3 equals 12, and we have a remainder of \(\sqrt{2}\). Knowing \(4\sqrt{18}=12\sqrt{2}\) makes the second step much easier.

2. A fast approach for these types of problems is to multiply the rational numbers together and multiply the irrational numbers separately until the last step. 2 times 12 equals 24. \(\sqrt{3}\) times \(\sqrt{2}\) equals \(\sqrt{6}\).

3. Now we must simply multiply the whole number with the irrational number. 24 times \(\sqrt{6}\) equals 24\(\sqrt{6}\).

Answer:

D) 5.52

Step-by-step explanation:

\(\frac{AB}{BC} =\frac{DE}{EF} \\\\\frac{x}{2.3} =\frac{2.4}{1} \\\\x=5.52\)

Answer: 5.52

Step-by-step explanation:

The percent error between the actual water quantity and the estimated water quantity for aquarium is 16.13%.

What is percent error?

The percent error is the distinction between the estimated value and the actual value in relation to the actual value. In other words, the relative error is multiplied by 100 to calculate the percent error.

Let x be percent error in the quantity of water for aquarium. The estimated quantity of water was 520 cubic feet and the actual quantity of water was needed 620 cubic feet. Then x can be determined  as:

\(x=\frac{Difference\;of\; water\; quantity}{Actual \;quantity\; of\; water} \times 100\)

   \(=\frac{ 620-520}{620} \times100\\\\=\frac{100}{620} \times 100\\\\=16.13 \%\)

Therefore, the percent error between the actual water quantity and the estimated water quantity for aquarium is 16.13%.

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Based on the given information, Mike's grandmother deposited $6,000 into the savings account.

What is simple interest?

Simple interest is a method of calculating interest on a principal amount, where the interest is calculated only on the original amount of the loan or investment, without taking into account any interest that may have been previously earned. The formula for calculating simple interest is I = P * r * t, where I is the interest earned, P is the principal amount, r is the annual interest rate as a decimal, and t is the time period in years.

We are given that the interest rate is 8% and the interest earned after 10 years is $4,800. So we can write:

4,800 = P * 0.08 * 10

Simplifying the equation, we get:

4,800 = 0.8P

Dividing both sides by 0.8, we get:

P = 6,000

Therefore, Mike's grandmother deposited $6,000 into the savings account.

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The statement "Both linear regression and logistic regression are linear models" is false. The statement "The decision boundary in logistic regression is in S-shape due to the sigmoid function" is true.

Linear Regression and Logistic Regression are two types of regression analysis.Linear Regression is a regression analysis technique used to determine the relationship between a dependent variable and one or more independent variables.Logistic Regression is a type of regression analysis that is used when the dependent variable is binary, which means it has two possible outcomes (usually coded as 0 or 1).In simple terms, Linear Regression is used for continuous data, whereas Logistic Regression is used for categorical data.

As for the second statement, it is true that the decision boundary in logistic regression is in S-shape due to the sigmoid function. The sigmoid function is an S-shaped curve that is used to map any input to a value between 0 and 1. This function is used in logistic regression to model the probability of a certain event occurring.

The decision boundary is the line that separates the two classes, and it is typically S-shaped because of the sigmoid function.

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The equation will be changed into = f(x)= 32

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

A statement is not an equation if it has no "equal to" sign.

A mathematical statement called an equation includes the sign "equal to" between two expressions with equal values.

Hence, The equation will be changed into = f(x)= 32

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The snail will take approximately 0.43 hours or 25.8 minutes to travel 12 feet at the speed of 8.5 meters per hour.

Given, A snail moves at a speed of 8.5 meters per hour, 1m = 3.28ft. Let's convert meters per hour into feet per hour by multiplying it with 3.28ft/m. So, 8.5 meters per hour = 8.5 × 3.28 feet per hour ≈ 27.88 feet per hour.

Now, to calculate the time taken by a snail to travel 12 feet, we can use the formula: Time = Distance ÷ Speed

Time taken = 12 feet ÷ 27.88 feet per hour ≈ 0.43 hours (rounded to two decimal places)

Now, let's convert 0.43 hours to minutes by multiplying it with 60 minutes per hour: 0.43 hours × 60 minutes per hour ≈ 25.8 minutes (rounded to one decimal place). Therefore, it will take approximately 0.43 hours or 25.8 minutes for the snail to travel 12 feet at the speed of 8.5 meters per hour.

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If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

The sampling distribution of x (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions are based on the Central Limit Theorem (CLT), which states that:

1. The sample size (n) is large enough, typically n > 30. This ensures that the sampling distribution of x becomes more normally distributed as the sample size increases.
2. The population from which the sample is drawn is either normally distributed or the sample size is large enough to compensate for non-normality.

The sampling distribution of x overbarx (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions include:
1. The population distribution must be normal or approximately normal.
2. The sample size should be large (typically n > 30).
3. The samples should be randomly selected from the population.

If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

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Answer:

B. 0.5

in the equation 0.5 * 6^x the 0.5 represents the approach on the y value

Answer:

\(y = 46x + 0\)

Step-by-step explanation:

The equation of a line follows the following format

\(y = mx + c\)

Note m= the gradient of the line or the slope of the line. To find the gradient it is

\(m = \frac{rise}{run} \)

On this graph the

\(rise \: = 460 \: \\ and \\ run = 10 \\ \\ m = \frac{460}{10} \\ m = 46\)

After finding the gradient we can now find the equation of the line. We can use any point on the line in order to do this, in that case lets use the point (10, 460)

\(y = 460 \: \: \: \: \: \: x = 10 \: \: \: \: \: m = 46\\ y = mx + c \\ 460 = (46)(10) + c \\ 460 = 460 + c \\ 460 - 460 = c \\ 0 = c\)

\(y = 46x + 0\)

Answer:

p(-2) = -11

p(0) = -3

p(5) = 17

Step-by-step explanation:

Think of p(x) as a y.  Just substitute the x values into the equation, and with some basic algebra, you should get your answer

p(-2) = -3 + (-8) = -11

p(0) = -3 + 0 = -3

p(5) = -3 + 20 = 17

Answer:

3 is 1% of 300.

Step-by-step explanation:

100 x 0.01 = 1

Therefore...

300 x 0.01 = 3

I hope this helped you! If it did, please consider rating my answer, pressing thanks, and marking as Brainliest. Have a great day!

Answer:

300

Step-by-step explanation: 3 divided by 1% (0.01) equal 300.  To check, 1% of 300 is 3

Equation V + Iwh , I = 32, w = 14, and h = 7, V = -3,136. The correct answer is B.

To solve for V in the equation V + Iwh, we can plug in the given values of I, w, and h, and then isolate V on one side of the equation. Here are the steps:

1. V + Iwh = V + (32)(14)(7)
2. V + 3,136 = V + 3,136
3. Subtract 3,136 from both sides of the equation: V = -3,136

The correct answer is option B: 3,136. Here is the solution in HTML format:

To solve for V in the equation V + Iwh, we can plug in the given values of I, w, and h, and then isolate V on one side of the equation. Here are the steps:

V + Iwh = V + (32)(14)(7)
V + 3,136 = V + 3,136
Subtract 3,136 from both sides of the equation: V = -3,136

The correct answer is option B: 3,136.

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To solve the initial value problem ty' + 3y = t² - t + 7, y(1) = 5, we can use an integrating factor.

First, we rewrite the equation in the standard form:

y' + (3/t)y = (t - 1 + 7/t) / t

The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is (3/t):

IF = \(e^{\int\ (3/t) \, dt}\)

   = \(e^{3ln|t|)}\)

   = \(e^{ln(t^3)}\)

   = \(t^3\)

Multiplying both sides of the equation by the integrating factor, we have:

t³y' + 3t²y = t(t - 1 + 7/t)

Now, we can rewrite the left-hand side as the derivative of the product t³y:

(d/dt)(t³y) = t(t - 1 + 7/t)

Integrating both sides with respect to t, we have:

∫(d/dt)(t³y) dt = ∫t(t - 1 + 7/t) dt

Integrating the right-hand side:

t³y = ∫(t² - t + 7) dt

t³y = (1/3)t³ - (1/2)t² + 7t + C

Dividing both sides by t³ and rearranging, we obtain the general solution:

y = (1/3) - (1/2t) + 7/t² + Ct⁻³

To find the particular solution that satisfies the initial condition y(1) = 5, we substitute t = 1 and y = 5 into the general solution:

5 = (1/3) - (1/2) + 7 + C

Simplifying the equation:

5 = (11/6) + C

Solving for C, we have:

C = 5 - (11/6) = 29/6

Therefore, the solution to the initial value problem is:

y = (1/3) - (1/2t) + 7/t² + (29/6)t⁻³

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