3. Buildings A and B are across the street from each other, 35m apart. From a point on the roof of Building A
the angle of elevation at the top of Building B is 24°, and the angle of depression of the base of Building B is
34º. How tall is each building?

Answer:

D

Step-by-step explanation:

1.  |x| - |-x|

2.  x - x

3.  0

Answer:

11: 12/18 12: 4/16 13: A: 2/8 B: 6/8 C: 2/8

Step-by-step explanation:

Im pretty sure those are

Answer:

Step-by-step explanation:

Write the value of x when y is = 7

x = 7

x = -1

x = -4

Answer:

-69. Nice!

Step-by-step explanation:

The slope of a line between two points is defined as the ration between the vertical distance and the horizontal distance - note that it doesn't matter if you go from the first to the second point, or the opposite, signs will end up fixed anyways. Let's get calculating!

\(\Delta y = -12 -57 = -69 \\ \Delta x = 99 - 98 = 1\)

Your slope is \(m = {\Delta y \over \Delta x}={-69 \over 1 } = -69\)

The set of all points equidistant from the points A(-2, 4, 4) and B(5, 2, -3) forms a plane. This plane can be described by an equation that represents the locus of points equidistant from A and B.

To find the equation of the plane, we can first calculate the midpoint M between points A and B, which is given by the coordinates (x₀, y₀, z₀) of M, where x₀ = (x₁ + x₂)/2, y₀ = (y₁ + y₂)/2, and z₀ = (z₁ + z₂)/2.
Midpoint M:
x₀ = (-2 + 5)/2 = 3/2
y₀ = (4 + 2)/2 = 3
z₀ = (4 - 3)/2 = 1/2
Next, we calculate the direction vector D from A to B, which is obtained by subtracting the coordinates of A from those of B.
Direction vector D:
dx = 5 - (-2) = 7
dy = 2 - 4 = -2
dz = -3 - 4 = -7
Using the midpoint M and the direction vector D, we can write the equation of the plane as follows:
(x - x₀)/dx = (y - y₀)/dy = (z - z₀)dz
Substituting the values we calculated earlier, the equation becomes:
(x - 3/2)/7 = (y - 3)/(-2) = (z - 1/2)/(-7)
This equation represents the set of all points equidistant from points A(-2, 4, 4) and B(5, 2, -3), and it describes a plane in three-dimensional space.

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These are the partial derivatives of the given functions with respect to x and y.

find the partial derivatives of each of the given functions with respect to x and y, while treating the other variable as a constant:

1. f(x, y) = -4xy + 2x

Partial derivative with respect to x: ∂f/∂x = -4y + 2

Partial derivative with respect to y:

∂f/∂y = -4x

2. f(x, y) = 5x²y + 3y² + 2

Partial derivative with respect to x:

∂f/∂x = 10xy

Partial derivative with respect to y:

∂f/∂y = 5x² + 6y

3. f(x, y) = (2x²)/(x²)

Partial derivative with respect to x:

∂f/∂x = 2

Partial derivative with respect to y:

∂f/∂y = 0 (Since y is not involved in the expression)

4. f(x, y) = (0.5y)/(y)

Partial derivative with respect to x:

∂f/∂x = 0 (Since x is not involved in the expression)

Partial derivative with respect to y:

∂f/∂y = 0.5(1/y) = 0.5/y

5. f(x, y) = ln(2x)/y

Partial derivative with respect to x:

∂f/∂x = (1/(2x))/y = 1/(2xy)

Partial derivative with respect to y:

∂f/∂y = -ln(2x)/(y²)

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Answer: false

Step-by-step explanation:

Based on the state tax rate, and the personal allowance amount, the amount withheld from the monthly paycheck for state income tax is $12,036.83.

First, find out the allowance that reduces the CEO's annual salary:

= 2,899,840 - 4,000 for married - (2,000 x 4 dependents)

= $2,887,840

The income tax for the year is:

= (1.50% x 1,000) + (3% x 2,000) + (4.50% x 2,000) + (5% x (2,887,840 - 2,000 - 2,000 - 1,000))

= 150 + 60 + 90 + 144,142

= $144,442

The monthly amount is:

= 144,442 / 12

= $12,036.83

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Step-by-step explanation:

just divide the top by the bottom- divide the numerator by the denominator. and If the division doesn't come out evenly you can stop. I don't know the exact answer but this might help a little bit.

Answer:

231300

Step-by-step explanation:

80% of his income his spent leaving 20% (46260)

46260 x 5 = 231300 (100% or total income)

70% income because he gave away 10% of his income

The no-arbitrage price today of a 5-year $1,000 US Treasury note with a 2% coupon rate and a 4.25% yield to maturity is approximately $908.44, closest to option B: $900.53.

To determine the no-arbitrage price of a 5-year $1,000 US Treasury note with a coupon rate of 2% and a yield to maturity (YTM) of 4.25%, we can use the present value of the future cash flows.First, let's calculate the annual coupon payment. The coupon rate is 2% of the face value, so the coupon payment is ($1,000 * 2%) = $20 per year.The yield to maturity of 4.25% is the discount rate we'll use to calculate the present value of the cash flows. Since the coupon payments occur annually, we need to discount them at this rate for five years.

Using the present value formula for an annuity, we can calculate the present value of the coupon payments:PV = C * (1 - (1 + r)^-n) / r,

where PV is the present value, C is the coupon payment, r is the discount rate, and n is the number of periods.

Plugging in the values:PV = $20 * (1 - (1 + 0.0425)^-5) / 0.0425 = $85.6427.

Next, we need to calculate the present value of the face value ($1,000) at the end of 5 years:PV = $1,000 / (1 + 0.0425)^5 = $822.7967.

Finally, we sum up the present values of the coupon payments and the face value:No-arbitrage price = $85.6427 + $822.7967 = $908.4394.

Rounding to the penny, the no-arbitrage price is $908.44, which is closest to option B: $900.53.

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solving value mixture problems involves finding the amount of two or more substances mixed together to create a desired mixture. These problems can be solved using a linear equation calculator by setting up an equation based on the given information and solving for the unknown variable.

Value mixture problems involve finding the amount of two or more substances mixed together to create a desired mixture. These problems can be solved using a linear equation calculator. Here's a step-by-step explanation of how to solve a value mixture problem using a linear equation calculator:

By following these steps and using a linear equation calculator, you can solve value mixture problems efficiently and accurately.

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A value mixture problem using a linear equation calculator is solved by considering an appropriate example which is described below.

To solve a value mixture problem using a linear equation calculator,

We need to take an example as follows:

Suppose you have a 10% saline solution and a 20% saline solution,

Then how much of each should you mix to create 100 mL of a 15% saline solution?

To solve this problem using a linear calculator,

we can set up two equations:

Let x be the amount of the 10% saline solution to use, and y be the amount of the 20% saline solution to use.

The first equation represents the total volume of the mixture:

x + y = 100

The second equation represents the percentage of saline in the mixture:

0.1x + 0.2y = 0.15(100)

Simplifying the second equation, we get:

0.1x + 0.2y = 15

Now solve for one variable in terms of the other.

Solve for x in terms of y:

x = 100 - y

Substituting this into the second equation, we get:

0.1(100 - y) + 0.2y = 15

Simplifying and solving for y, we get:

y = 50 mL

Therefore, the amount of the 10% saline solution to use is:

x = 100 - y = 50 mL

So we need to mix 50 mL of the 10% saline solution with 50 mL of the 20% saline solution to create 100 mL of a 15% saline solution.

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Step-by-step explanation:

fair coin is two sided Head H and Tail T

thrown 3 times

number of sample space n(s)=2³=>8

sample space (s)={HHH,HHT,HTH,HTT,THH,TTH,THT,TTT}

no of a head and two tails= 3/8

The ordered pair at which the function f(x) = √(x - 4) + 7 would begin on the coordinate plane is (4, 7).

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

An ordered pair can be defined as a pair of two elements that are typically written in a fixed order within parentheses as (x, y), which represents the x-axis (abscissa) and the y-axis (ordinate) on a coordinate plane.

By critically observing the graph of this function (see attachment), the ordered pair would begin at (4, 7) on the cartesian coordinate.

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Complete Question:

At which ordered pair will the function f(x) = √(x - 4) + 7 begin on the

coordinate plane?

Answer:

90

Step-by-step explanation:

on multiplication.

Answer:

6x^8 hope this helps

Step-by-step explanation:

Answer:

7:15

Step-by-step explanation:

Is {x}^{3} + { x }^{3} = {x}^{6}: B. No, because you are not multiplying the bases, so exponent rules don't apply.

Simplifying x^{4} × x^{10} by using exponent rules is equal to: C. x^{-6}.

In Mathematics, an exponent can be defined as a mathematical operation that is used in conjunction with an algebraic expression to raise a quantity to the power of another and it is generally written as;

bⁿ

Where:

the variables b and n represent numerical values or an algebraic expression.

From the information provided, we can logically deduce the following mathematical expression:

Expression = {x}^{3} + { x }^{3}

Therefore, exponent rules does not apply to the given expression because you are not multiplying the bases.

Next, we would apply exponent rules to the second expression because the bases are being multiplied:

Expression = x^{4} × x^{10}

Expression = x^{4 - 10}

Expression = x^{-6}

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Answer:

its option B

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

The simplified Boolean expression for F = A'C(A'BD)' + A'BC'D' + AB'C is F = A'B + AB'C.

To simplify the given Boolean expression, we can use Boolean algebra laws and rules. Let's break down the simplification step by step:

Distributive Law: Apply the distributive law to the first term A'C(A'BD)' = A'CA'D' + A'CB'D'.

This simplifies to A'D' + A'CB'D'.

Distributive Law: Apply the distributive law to the second term A'BC'D' = A'BC'D'.

This remains unchanged.

Combining like terms: Combine the terms A'D' and A'CB'D'. They share the factor A'D', so we can write them as A'D' + A'CB'D' = A'D'(1 + CB').

This simplifies to A'D'.

Combining like terms: Combine the terms A'BC'D' and A'D'. They both have the factor A'D', so we can write them as A'BC'D' + A'D' = A'D' + A'BC'D'.

This simplifies to A'D'.

Combining like terms: Combine the simplified terms A'D' and AB'C. They share the factor A', so we can write them as A'D' + AB'C = A'(D' + BC).

This simplifies to A'B + AB'C.

Therefore, the simplified Boolean expression for F is F = A'B + AB'C.

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Answer:

better measure the center:the mean

Answer:

The best measure of senter would be the mean since it is not symmetrical.  The better measure of spread would be standard deviation for the same reason.

Step-by-step explanation:  I have just finished algebra. lol.  I hope i helped.  Please mark brainliest, if you want.  I dont have the best explanation but i hope it works for you.  If you need a better explanation feel free to ask.

Answer:

the answer is C = between 10 and 17 ft

We know,

When two angles less than 90 is known as Scalene obtuse Triangle.

When two angles are equal is called Isosceles obtuse Triangle.

So, 40°, 100°, 40° is a scalene obtuse triangle.

and, 14°, 98°, 68° is a scalene obtuse triangle.

and, 38°, 38°, 104° is an isosceles obtuse triangle.

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Answer:

Y=3x because that slope is 3 and if you times it by 4 you get 12

Step-by-step explanation:

We can use the `residue` function. The partial fraction expansion of B(s)/A(s) is: B(s)/A(s) = 2/s + 3/(s + 8) + 4/(s + 5) + 5/(s + 7) + 6/(s^2 + 10s + 100)

To obtain the partial-fraction expansion of the given rational function in MATLAB, you can use the `residue` function. Here's how you can do it:

num = [1 17 99 223 140];     % Coefficients of numerator polynomial

den = [1 32 363 2092 5052 4320];     % Coefficients of denominator polynomial

[r, p, k] = residue(num, den);

disp('Partial fraction expansion:');

for i = 1:length(r)

   disp(['(' num2str(r(i)) ' / (s - (' num2str(p(i)) ')))']);

The `residue` function calculates the partial fraction expansion of the rational function given the numerator (`num`) and denominator (`den`) polynomials. It returns the residue (`r`), pole locations (`p`), and the direct term (`k`), if any.

In this case, the expected partial fraction expansion is:

B(s)/A(s) = (2 / (s - 0)) + (3 / (s + 8)) + (4 / (s + 5)) + (5 / (s + 7)) + (6 / (s^2 + 10s + 100))

The coefficients and factors in the partial fraction expansion might differ from the given expression since MATLAB simplifies the results.

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a. From fastest to slowest, the speeds of the balls at the right ends of the tracks will depend on the curvature of the tracks.

If the tracks are of equal length but have different curvatures, the ball on the track with the least curvature will have the highest speed, followed by the ball on the track with the next least curvature, followed by the ball on the track with the most curvature.

b. From longest to shortest, the tracks in terms of the times for the balls to reach the ends will depend on the curvature of the tracks. If the tracks are of equal length but have different curvatures, the track with the most curvature will have the longest time for the ball to reach the end, followed by the track with the next most curvature, followed by the track with the least curvature.

c. From greatest to least, the tracks in terms of the average speeds of the balls will depend on the curvature of the tracks. If the tracks are of equal length but have different curvatures, the track with the least curvature will have the highest average speed, followed by the track with the next least curvature, followed by the track with the most curvature.

All the balls will have the same average speed on all three tracks if the track lengths are equal, but will have different speeds at the end of each track due to the different curvatures.

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option B correctly expresses the relationship between the value and the number of years, where the number of years is equal to the value divided by 12.53. The equation that correctly expresses the relationship between the two variables is option B: Number of years = value/12.53.

This equation is a straightforward representation of the relationship between the value and the number of years. It states that the number of years is equal to the value divided by 12.53.

To understand this equation, let's look at an example. If the value is 120, we can substitute this value into the equation to find the number of years. By dividing 120 by 12.53, we get approximately 9.59 years.

Therefore, if the value is 120, the corresponding number of years would be approximately 9.59.

In summary, option B correctly expresses the relationship between the value and the number of years, where the number of years is equal to the value divided by 12.53.

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Since 1 quart is equal to 4 cups, then the total amount of liquid glue, in cups, is:

There are 24 empty glue bottles but only 12 cups of glue. Since each bottle can hold one cup, then 24 cups of glue would be needed to fill all the bottles.

Since 12 is less than 24, then, there is not enough glue to fill all the bottles.

Answer:

Divide both sides by 4.

83/4=4p/4

20 3/4= p

So, p is equal to 20 3/4 (20.75).

:)

Answer: bro this is easy

Step-by-step explanation:

Step-by-step explanation:

(1)

1 x = 12

3

multiply both sides by the 3

3 × 1 x = 12 × 3

3

x = 36

(2)

3x + 3 = 21

( group like terms)

3x = 21 - 3

3x = 18

( divide both sides by 3)

3x = 18

3 3

x = 6

(3)

9.95 + 0.30( 35 )

=9.95 + 10.5

=20.45

(4)

(4)

(I'm not soo sure about this one)

equation = 6x + 27 = x

11

solution

( multiply both sides by 11)

= (6x + 27) ×11 = x × 11

11

= 6x + 27 = 11x

( grouping like term)

27 = 11x - 6x

27 = 5x

(divide both sides by 5)

27 = 5x

5 5

x = 5.4

the number of shirt they can buy is 5 or 5.4