Anyways.....Im failing math :D

The length of AB is 30 inches. This can be found by subtracting the length of BC (12 inches) from the total length of the leg (42 inches), giving a result of 30 inches for the length of AB.

To find the length of AB, we can use the fact that the length of the entire leg (AC) is 42 inches and the length from the knee to the ankle (BC) is 12 inches. Therefore, AB can be found by subtracting the length of BC from the length of AC.

AB = AC - BC

AB = 42 - 12

AB = 30

So the length of AB is 30 inches.

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\(sin= \frac{opp}{hyp} \\\\sin (20) = \frac{10000}{hyp}\\\\hyp= \frac{10000}{sin(20)} \\\\hyp= 29238 ft\)

The aircraft is 29238 ft from the ship

//

Note: this is based on my assumption that we are looking for the hypotenuse.

If we are looking for the adjacent side, then the answer would be 27475 ft.

Over the past seven years, with a monthly allowance of $1,000 and a 6% interest rate compounded monthly, the accumulated value in Kathy's bank account would be approximately $1,117.17.

Over the past seven years, Kathy's uncle has been paying her a monthly allowance of $1,000 in arrears, which means the allowance is deposited into her bank account at the end of each month. The interest rate on the allowance is 6% per annum, compounded monthly. Since the allowance is paid at the end of each month, we can calculate the future value of the monthly allowance using the formula for compound interest: Future Value = P * (1 + r/n)^(n*t).

Where: P = Principal amount (monthly allowance) = $1,000; r = Annual interest rate = 6% = 0.06; n = Number of compounding periods per year = 12 (monthly compounding); t = Number of years = 7. Plugging in the values: Future Value = 1000 * (1 + 0.06/12)^(12*7) ≈ $1,117.17. Therefore, over the past seven years, with a monthly allowance of $1,000 and a 6% interest rate compounded monthly, the accumulated value in Kathy's bank account would be approximately $1,117.17.

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Loan Amount = $200 * (1 - (1 + 0.06)^(-48)) / 0.06

What is Variable?

Arguably, the true value function defined over the sample space of a random experiment is called a random variable. This means that the values ​​of the random variable correspond to the results of a random experiment. Random variables can be either discrete or continuous. In this article we will discuss different types of random variables.

Patrick is looking for the maximum loan amount he can afford, which corresponds to the maximum price of the car he can purchase today. Let's calculate the loan amount.

The loan amount can be determined using the formula for the present value of an annuity:

Loan Amount = Monthly Payment * (1 - (1 + Monthly Interest Rate)^(-Number of Payments))) / Monthly Interest Rate

Here, the Monthly Payment is $200, the Monthly Interest Rate is 6% (or 0.06), and the Number of Payments is 4 years * 12 months/year = 48 months.

Substituting these values into the formula:

Loan Amount = $200 * (1 - (1 + 0.06)^(-48)) / 0.06

Calculating this expression will give us the maximum loan amount, which represents the maximum price of the car Patrick can purchase today while making $200 monthly payments over a 4-year period with a 6% monthly interest rate.

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Answer:

3

Step-by-step explanation:

(6-3) / (2-1) = 3/1 = 3

The 95% confidence interval for average amount its credit card customers spent is $39.424, $61.576.

How to calculate the confidence interval?

Confidence interval is the mean or average of the estimate value minus or plus the variation in the same estimate value.

n = 15

μ = $50.50

σ = \(\sqrt{400}\) = 20

α = 1 - 95% = 0.05

df = n - 1 = 15 - 1 = 14

Since, there are only 15 samples in the question. we will use t-distribution,

Confidence interval = CI = μ ± \(t_{df,\alpha }\)\(\frac{\sigma}{\sqrt{n}}\)

= 50.50 ± \(t_{14,0.05}\)\(\frac{20}{\sqrt{15}}\)

= 50.50 ± (2.145)(5.164)

= 50.50 ± 11.076

= (39.424, 61.576)

Thus, the 95% confidence interval for average amount its credit card customers spent is $39.424, $61.576.

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Given a table of polygons

For the first row,

Given that the 1 exterior angle of the polygon is given, to find the number of sides, n, the formula is

The number of sides, n, of the polygon is three, thus it is a triangle.

A regular triangle has

For the second row

Given that sum of the interior angles of the polygon is 720°, to find the number of sides of the polygon,

Using the formula to find the sum of the interior angles of a polygon which is

Since the number of sides is 6, thus, it is a hexagon.

For a regular hexagon, is tas

The table is shown below

To add or subtract mixed numbers, we need to convert them to improper fractions, then add or subtract the fractions, and simplify the result back to a mixed number if necessary.

To solve each of these problems, we need to add or subtract mixed numbers. The first step is to convert each mixed number to an improper fraction, then we can add or subtract the fractions and simplify the result back to a mixed number.

1 3/5 + (-3 1/2)

Convert 1 3/5 to an improper fraction: 8/5

Convert -3 1/2 to an improper fraction: -7/2

Add the fractions: 8/5 + (-7/2) = -17/10

Simplify the result to a mixed number: -1 7/10

-1 5/6 + (-2 1/2)

Convert -1 5/6 to an improper fraction: -11/6

Convert -2 1/2 to an improper fraction: -5/2

Add the fractions: -11/6 + (-5/2) = -47/12

Simplify the result to a mixed number: -3 11/12

-2 2/3 + 2 1/5

Convert -2 2/3 to an improper fraction: -8/3

Convert 2 1/5 to an improper fraction: 11/5

Add the fractions: -8/3 + 11/5 = -7/15

Simplify the result to a mixed number: -0 7/15

-3 4/5 + -1 1/6

Convert -3 4/5 to an improper fraction: -19/5

Convert -1 1/6 to an improper fraction: -7/6

Add the fractions: -19/5 + (-7/6) = -127/30

Simplify the result to a mixed number: -4 7/30

-1 3/4 + 3 1/3

Convert -1 3/4 to an improper fraction: -7/4

Convert 3 1/3 to an improper fraction: 10/3

Add the fractions: -7/4 + 10/3 = -1/12

Simplify the result to a mixed number: -0 1/12

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Answer:

-8x²-3x+5

Step-by-step explanation:

First, add like terms.

3-6x-2x²+3x-6x²+2=

= 5-3x-8x²

Put it in standard form. To put in standard form, put the exponent from greatest to least.

-8x²-3x+5.

Hope this helps!

If not, I am sorry.

Answer:

The answer is 64. (D)

Plug in the values of the equation and evaluate. Use a calculator.

Answer:

The equation of the level curve that passes through (7,1) is:

3y - 2x = -11

Step-by-step explanation:

To find the gradient of the function f(x,y) = 3y - 2x at the point (7,1), we need to find the partial derivatives of f with respect to x and y, and evaluate them at (7,1):

\(\frac{∂f}{∂x}\) = -2

\(\frac{∂f}{∂y}\) = 3

Therefore, the gradient of f at (7,1) is given by:

grad f(7,1) = (-2, 3)

To sketch the gradient and the level curve that passes through (7,1), we can use the following steps:

Plot the point (7,1) on the x-y plane.

Draw the vector (-2, 3) at the point (7,1). This vector represents the direction of steepest ascent of f at (7,1).

Draw a smooth curve that passes through (7,1) and has a constant value of f(X , Y) = k, where k is a constant. This curve is called a level curve or contour curve of f.

To sketch the level curve that passes through (7,1), we need to find its equation. Since the level curve has a constant value of f, we have:

3y - 2x = k

Substituting the point (7,1), we get:

3(1) - 2(7) = k

k = -11

Therefore, the equation of the level curve that passes through (7,1) is:

3y - 2x = -11

To sketch the gradient and level curve, we can draw the vector (-2,3) starting at (7,1), and draw the level curve 3y - 2x = -11 passing through

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The area of region inside lemniscate is 23.73 square units.

To find the area of the region inside the lemniscate and outside the circle, we first need to sketch the graphs of both equations.

The polar graph of the lemniscate is given by r^2 = 42 cos(2θ), which has a central point and two loops that intersect at the origin.

The polar graph of the circle is given by r = √21, which has a center at the origin and a radius of √21.

To find the area of the region inside the lemniscate and outside the circle, we need to subtract the area of the circle from the area of the lemniscate.

Using the polar area formula, we can find the area of the lemniscate and circle as follows:

Area of lemniscate = (1/2) ∫(π/4)0 [√(42cos(2θ))]^2 dθ + (1/2) ∫(5π/4) (3π/4) [√(42cos(2θ))]^2 dθ

= (1/2) ∫(π/4)0 42cos(2θ) dθ + (1/2) ∫(5π/4) (3π/4) 42cos(2θ) dθ

= 21 [sin(2θ)]|(π/4)0 + 21 [sin(2θ)]|(3π/4)(5π/4)

= 21 [sin(π/2) - sin(0) + sin(5π/2) - sin(3π/2)]

= 84 square units

Area of circle = π(√21)^2 = 21π square units

Therefore, the area of the region inside the lemniscate and outside the circle is:

Area = Area of lemniscate - Area of circle

     = 84 - 21π

     ≈ 23.73 square units

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Answer:

350L 375ML

Step-by-step explanation:

Answer: A. Action: add 3 to both sides

Step-by-step explanation:

 The property that justifies this action is the addition property of equality, which states that if you add the same number to both sides of an equation, the equation remains true.

Answer:

10

Step-by-step explanation:

i think its 10 maybe cuz if u see

the perimeter of a rectangular room is 52 feet. right?

then then height is 2 more than the width. what is the width of the room? so am I right copying the question? yes the question is right copied ok!

now see when u subtract 2 from 12 it gives u 10 and length i as 2 more than the width so maybe 10

Answer:

-30v + 5w + 5

Step-by-step explanation:

-5(6v - w - 1) =

Multiply -5 by each term inside the parentheses.

= -5 * 6v - (-5) * w - (-5) * (-1)

= -30v + 5w + 5

Answer:

b

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

5.50

Step-by-step explanation:

Here is the complete question I was able to find:

Tanya is printing a report. There are 92 sheets of paper in the printer, and the number of sheets of paper p left after t minutes of printing is given by the function p(t) = -8t + 92.

How many minutes would it take the printer to use all 92 sheets of paper?

Answer:

The printer needs 11.5 minutes to use all 92 sheets of paper.

Step-by-step explanation:

Given the function

p(t) = −8t + 92

We know that putting p(t) = 0 means we will be able to determine the time when all the 92 sheets of paper will have been printed.

Thus, plug in p(t) = 0 in the function and calculate the time 't'

p(t) = −8t + 92

0 = −8t + 92

adding 8t to both sides

8t = −8t + 92 + 8t

8t = 92

dividing both sides by 8

8t/8 = 92/8

t = 11.5 minutes.

Thus, the printer needs 11.5 minutes to use all 92 sheets of paper.

In slope intercept form, Equation 14x-20y=-13 can be written as 13 + 4y/20 = y.

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation. The slope, m, is a measure of how steep a line is. The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables.

Given,

Equation

14x-20y=-13

In slope intercept form

13 + 4x = 20y

13 + 4y/20 = y

In slope intercept form, Equation 14x-20y=-13 can be written as 13 + 4y/20 = y.

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The answer is b) We know that the card picked is not a 7, and we want the chance of it being odd

Explanation

Probability is a branch of mathematics that deals with the calculation of the possibility of an event occurring.

When a card is picked at random from a deck, this notation P(the number on the card is odd | the card is not a 7) means "We know that the card picked is not a 7, and we want the chance of it being odd.

"In other words, we are interested in the probability of drawing an odd number, given that the card drawn is not a 7. This can be written as:P(Odd Number | Not a 7)

The probability of an odd number being drawn is 20/52, or 5/13, since there are 20 odd-numbered cards in the deck, and there are 52 total cards.

The probability of drawing a 7 is 4/52, or 1/13, since there are 4 7s in the deck.

Because we know that the card is not a 7, the probability of the card being an odd number is given by:

P(Odd Number) = P(Odd Number | Not a 7) = (5/13) / (1 - 1/13) = 5/12

Therefore, the answer is 2. We know that the card picked is not a 7, and we want the chance of it being odd.

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When booking a show for a future date, it is normal practice for the booking agent to collect a 50% advance fee when the advances are not given for shows. This is to ensure that the performer is fully committed to performing at the event and to cover any expenses that may be incurred in the process.

The advance fee is usually non-refundable and is paid by the promoter or venue operator to the booking agent. This is to show their commitment to the performer and to demonstrate that they are serious about booking them for the event. The remaining balance is then usually paid on the day of the performance or shortly after.

The booking agent should also ensure that all parties involved in the booking are aware of the terms and conditions and have signed a contract or agreement to confirm their agreement.

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Let's start by setting up some equations based on the given information.
Let's call the width of the rectangle "w" and the length "l". We know that:
l = 2w - m  (since the length is "m less than twice its width")

When we add "m" to the width, we get a square with an area of:
(w + m)^2 =
We can set up another equation based on the fact that the area of the original rectangle is:
A = lw =
Now, we can use the information we have to solve for the dimensions of the original rectangle. We can start by simplifying the equation for the area of the square:
(w + m)^2 =
w^2 + 2wm + m^2 =
Now we can substitute our expression for "l" in terms of "w" and "m":
w(2w - m) =
Expanding this out gives us:
2w^2 - wm =
We can substitute this expression for "lw" in our equation for the area of the square:
2w^2 - wm =
w^2 + 2wm + m^2 =
Now we can simplify this equation by expanding out the square on the left side:
2w^2 - wm =
w^2 + 2wm + m^2 =
2w^2 - wm =
w^2 + 2wm + m^2 =
w^2 + wm + m^2 =
Now we can solve for "m" by subtracting the first equation from the second:
3wm + m^2 =
Subtracting "w^2" from both sides gives us:
wm + m^2 =
Now we can solve for "m" using the quadratic formula:
m =
We can use this value for "m" to solve for the dimensions of the original rectangle. Substituting into our equation for "l" in terms of "w" and "m", we get:
l = 2w - m =
And substituting into our equation for the area of the rectangle, we get:
A = lw =
So the dimensions of the original rectangle are:
Width: w =
Length: l =

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The sample proportion of vehicles on U.S. roads that speed is 0.4626 (or approximately 0.463). This means that out of the 20,000 vehicles sampled, 46.26% were speeding.

This sample proportion can be used to estimate the population proportion of U.S. drivers who admit to speeding, with a certain degree of confidence. The result suggests that a significant proportion of U.S. drivers may be violating speed limits, which can have implications for road safety and traffic management.

The fact that the sample size is quite large (20,000 vehicles) and the use of advanced satellite technology for measurement provides some degree of confidence in the accuracy of the estimate. The result suggests that there is a need for increased awareness and enforcement of speed limits, and for drivers to prioritize road safety for themselves and others on the road.

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After using the triangle inequality theorem, the possible values of the unknown side of the triangle is 15 < n < 25.

In this case, we are given that:

The lengths of the sides of a triangle are 20, 5, and n centimeters.

The theorem of triangle inequality stated that the lengths of any two of a triangle's sides added together must be bigger than the length of the third side. Given two sides, x and y, we can use the triangle inequality theorem to predict that the length of the third side will be between x + y and x - y.

Therefore,

x - y < n < x + y

20 - 5 < n < 20 + 5

15 < n < 25

As the result, the possible value of the unknow side of the triangle would be 15 < n < 25.

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Answer:

\(\Huge \boxed{3+16i}\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

\(3+\sqrt{-16} * 6-\sqrt{-64}\)

Using imaginary number rule : \(\sqrt{-n} =\sqrt{n} *i\)

Where \(n\) is a positive integer.

\(3+\sqrt{16} *i* 6-\sqrt{64}*i\)

\(3+4i* 6-8i\)

Multiplying.

\(3+24i-8i\)

Combining like terms.

\(3+16i\)

\(\rule[225]{225}{2}\)

Answer:

3 + 16i

Step-by-step explanation:

3 + √-16 * 6 - √-64

= √-16 * 6 = 24i;    √-16 * 6;     √-16 = 4i

= 4 * 6i    multiply the numbers 4 * 6 = 24

= 24 i

√-64 = 8i;   √64    apply a radical rule

= √-1 √64

= √64  i;    √64 = 8

= 8i

= 3 + 24i - 8i

= 3 + 16i

Answer:

the sum of John's score and Kamira's score

Step-by-step explanation:

-5 + 7 = 2

Answer:

The number of times a variable appears in a date set is called a constant.

Answer:

362

Step-by-step explanation:

15xy=5430...therefore 5430divided by 15 is 362...so 362x15 their product is 5430