picture look in the picture

The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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The table for the function y = f(x) - 5 is

x    f(x) - 5

5   -33

-3    -5

-2     2

0    21

From the question, we have the following parameters that can be used in our computation:

x    f(x)

5   -28

-3    0

-2     7

0    26

To create a table for the function y = f(x) - 5, we subtract 5 from the values of f(x)

using the above as a guide, we have the following:

x    f(x) - 5

5   -28 - 5

-3    0 - 5

-2     7 - 5

0    26 - 5

Evaluate

x    f(x) - 5

5   -33

-3    -5

-2     2

0    21

This represents the table for the function y = f(x) - 5

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Carrying value on June 30, 2024  is $176 million, total  Interest revenue  is $12.44 million

To calculate the interest revenue for the first six months, we need to find the carrying value of the bonds on June 30, 2024.

The carrying value is the purchase price plus the accrued interest, which is calculated as follows:

Accrued interest = Face value x Coupon rate x Time

where Time = 6/12 = 0.5 (since interest is paid semiannually)

Accrued interest = $200 million x 6% x 0.5 = $6 million

Carrying value on June 30, 2024 = Purchase price + Accrued interest

= $170 million + $6 million

= $176 million

The interest revenue for the first six months is calculated as follows:

Interest revenue = Carrying value x Market rate x Time

= $176 million x 8% x 0.5

= $7.04 million

For the second six months, the carrying value is the fair value of $180 million, since the bonds were revalued at December 31, 2024.

The interest revenue for the second six months is calculated as follows:

Interest revenue = Carrying value x Coupon rate x Time

= $180 million x 6% x 0.5

= $5.4 million

Total interest revenue = Interest revenue for first six months + Interest revenue for second six months

= $7.04 million + $5.4 million

= $12.44 million

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Answer:

1/54

Step-by-step explanation:

1/9 x 1/6

Answer:

$292 in fees

Step-by-step explanation:

First, calculate the total payments Jan made over the 4 years

$355 x 4 payments per year x 4 years =  $5,680

Then, calculate the total payments made and subtract the amount of Principal and Interest paid from the total payments made.

$5,680 - $5,388 = $292

$292 is the FEE for the loan

$4,700 is the PRINCIPAL for the loan

$688 is the INTEREST for the loan

Answer:

The answer is 292

Step-by-step explanation:

The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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Answer:c=8

Step-by-step explanation:

AB + BC = AC

6c-8 + 3c+1 =65 (simplify)

9c -7 =65 (combine like terms) (cancel out the -7 by adding 7 to both sides).

9c = 72 (Divide both sides by 9 to get c by itself.

c=8

Then substitute c for 8

AB = 6(8)-8 = 40

BC = 3(8)+1 = 25

AC = 40 + 25 =65

Answer: 72

Because the picture shows that there's a 90 degree angle in the bottom. We know that the bottom triangle is a 45-45-90 triangle. So the length of one side   is 18 because a 45 45 90 triangle has two sides that are equivalent (x) and one side that is x\(\sqrt{2} \\). So now that we know the length of one side is 18, we know the lengths of all 4 sides. Adding them up ( 18 + 18 + 18 + 18) gives 72, which is the perimeter.

Answer:

=)

Step-by-step explanation:

(a) U is a subspace of L(V, W) (b) F is a linear map, and U is the null space of F. (c) The dimension of U is n - 1

The dimension of U is n - 1

(a) To demonstrate that U is a subspace of L(V, W), we must demonstrate that it meets the three subspace properties:

If T1 and T2 are in U, then T1 + T2 is in U as well, since if T1(v) = 0 and T2(v) = 0, then (T1 + T2)(v) = T1(v) + T2(v) = 0 + 0 = 0.

If T is in U and c is a scalar, then cT is in U, since if T(v) = 0, then (cT)(v) = c * T(v) = c * 0 = 0.

Containing the zero vector: Because 0(v) = 0, the zero transformation in L(V, W), indicated by 0, is in U.

As a result, U is a subspace of L. (V, W).

(b) To demonstrate that F is a linear map, we must demonstrate that it meets the following two properties:

Addition linearity: F(T1 + T2) = (T1 + T2)(v) = T1(v) + T2(v) = F(T1) + F(T2) (T2).

Homogeneity is defined as F(cT) = (cT)(v) = c * T(v) = c * F. (T).

As a result, F is a linear map. To demonstrate that U is the null space of F, we must first demonstrate that U is the set of all T in L(V, W) such that F(T) = 0. In other words, T(v) = 0.

(c) A basis for U can be used to calculate the dimension of U. Because U is a subspace of L(V, W), we may construct a basis for U by limiting a basis for L(V, W) to U. A basis for L(V, W) can be produced by designating as T1, T2,..., Tn the set of all transformations that send the standard basis vectors of V to the standard basis vectors of W. These transformations' constraints to U are T1, T2,..., Tn such that T1(v) = T2(v) =... = Tn(v) = 0. Because v = 0, T1, T2,..., Tn constitute a linearly independent set. As a result, dim(U) = n - 1.

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1 T-Shirt for every 5 people

First of all, B & C are wrong, because they say 5 T-shirts for one person.

Next, we will look at A & D. A is more grammatically correct, and so you should use A.

OR

Answer:

The last one

Answer:

x-intercept(s): (32,0),(34,0)(32,0),(34,0)

y-intercept(s): (0,36)

Step-by-step explanation:

thats the full answer

We can expand

\(f(x,y,z) = xy\ln(yz) = xy \ln(y) + xy\ln(z)\)

Then using the product and chain rules,

\(\dfrac{\partial f}{\partial x} = y\ln(y) + y\ln(z) + \boxed{y\ln(yz)}\)

\(\dfrac{\partial f}{\partial y} = x\ln(y) + \dfrac{xy}y + x\ln(z) = \boxed{x\ln(yz) + x}\)

\(\dfrac{\partial f}{\partial z} = \boxed{\dfrac{xy}z}\)

Answer:

subsidiaries hi sus

Step-by-step explanation:

scientific 2 is the answer

Answer:

y = 3(x-1)^2 -3

Step-by-step explanation:

y = 3(x+5)^2 - 2

vertex: (-5, -2)

1 unit down :

-2 - 1 = -3

6 units to the right:

3(x+5-6)^2 -2

3(x-1)^2 - 2

make what's in the parenthesis equal to 0:

(x-1)^2 = 0

x = 1

or

-5 + 6 = 1

new vertex : (1, -3)

equation : y = 3(x-1)^2 -3

Translation involves shifting of points from one position to another. The equation of the new parabola is: \(y = 3(x - 1)^2 - 3\)

Given that:

\(y = 3(x + 5)^2 - 2\)

\((h,k) = (-5,-2)\) --- vertex

The general equation of a parabola is:

\(y = a(x - h)^2 + k\)

By comparison:

\(a = 3\\ h = -5 \\ k= -2\)

When the vertex is shifted 1 unit down, the rule is:

\((x,y) \to (x,y-1)\)

So, we have:

\((x,y) \to (-5,-2-1)\)

\((x,y) \to (-5,-3)\)

When the vertex is shifted 6 unit right, the rule is:

\((x,y) \to (x + 6,y)\)

So, we have:

\((h,k) \to (-5 + 6,-3)\)

\((h,k) \to (1,-3)\)

This means that:

\(h = 1\\ k =-3\)

Recall that:

\(a =3\)

Substitute these values in:

\(y = a(x - h)^2 + k\)

\(y = 3(x - 1)^2 - 3\)

Hence, the equation of the new parabola is: \(y = 3(x - 1)^2 - 3\)

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Answer: You got it right.

Step-by-step explanation: 2 Legths + 2 widths= the perimeter so 5+5+4+4= 18. The area is 5x4 which is 20.

The volume of the box that can be filled with a volume of macaroni 25cm by 5cm by 4cm is calculated to be 625 cubic centimeters.

The volume of a rectangular box is calculated by multiplication of its three dimensions which are the length, width, and height . That is Length × Width × Height in the same units.

volume of the macaroni = 25cm × 5cm × 4cm

volume of the macaroni = 500 cm³

given that the box will be filled 4/5 of the way with macaroni, then;

volume of the box = (500 × 5)/4

volume of the box = 2500/4

volume of the box = 625

Therefore, the volume of the box that can be filled with a volume of macaroni 25cm by 5cm by 4cm is calculated to be 625 cubic centimeters.

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well, the tax amount is simple, it was $71 and it went up to $86.45, that's a 15.45 difference, so that IS the tax amount.

now, if we take 71(origin amount) to be the 100%, what's 15.45 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 71 & 100\\ 15.45& x \end{array} \implies \cfrac{71}{15.45}~~=~~\cfrac{100}{x} \\\\\\ 71x=1545\implies x=\cfrac{1545}{71}\implies x\approx 21.76\)

The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.

The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.

Here's how they can use the range to evaluate the effectiveness of the equipment changes:

Collect the measurements of all 25 muffins.

Determine the maximum and minimum measurements.

Calculate the range by subtracting the minimum measurement from the maximum measurement.

If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.

Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

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The derivative is f'(x) = (4x - 1) / (2x² - x).

To find the derivative of the function f(x) = ln(2x² - x), we can use the chain rule.

Begin by identifying the function to be differentiated, which is f(x) = ln(2x² - x).

Apply the chain rule, which states that if we have a composition of functions, f(g(x)), the derivative is given by (f'(g(x))) g'(x).

Let's consider the inner function g(x) = 2x² - x.

To differentiate g(x), we need to apply the power rule and the constant rule. The derivative of 2x² is 4x, and the derivative of -x is -1.

Now, we differentiate the outer function f'(g(x)). The derivative of ln(x) is 1/x.

Finally, we multiply the derivatives obtained in steps 3 and 4. Thus, the derivative of f(x) = ln(2x² - x) is:

f'(x) = (1 / (2x² - x)) * (4x - 1)

Simplifying further, we have:

f'(x) = (4x - 1) / (2x² - x)

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Answer:

function

Step-by-step explanation:

the input is not repeated

Answer:

4.5

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

let both sides of equation be squared

((x+4)^½)² = 6²

x+4 = 36

x = 36-4

x = 32

Answer:

a) x = 119 minutes

the mean value for average movie length in minutes is 119 minutes

b) margin of error M.E = 44 minutes

Note; Since the number of samples used is not given, the standard deviation r cannot be calculated using the equation

M.E = zr/√n

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

x+/-M.E

M.E = zr/√n

Given that;

M.E = margin of error

Mean = x

Standard deviation = r

Number of samples = n

Confidence interval = 95%

z value (at 95% confidence) = 1.96

a) The mean value x can be calculated as;

x = (a+b)/2

Where a and b are the lower and upper bounds of the confidence interval;

a = 75 minutes

b = 163 minutes

substituting the values;

x = (75+163)/2

x = 119 minutes

the mean value for average movie length in minutes is 119 minutes

b) the margin of error M.E can be calculated as;

M.E = (b-a)/2

Substituting the values;

M.E = (163-75)/2

M.E = 44 minutes

Since the number of samples used is not given, the standard deviation r cannot be calculated using the equation

M.E = zr/√n

The end with \(17\frac{4}{7}\) will have a closed circle representing greater than or equal to and there will be an arrow on the other side representing continous.

A number line is a depiction of a graded straight line that is used to represent real numbers visually. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

To represent an inequality on a number line, such as x>3, first draw a circle around the number (e.g., 3). Fill in the circle if the sign also says equal to (or ). Leave the circle blank if the sign doesn't contain equal to (> or ).

The inequality is

-21 ≤ 7x - 144

⇒ 7x≥ 144 - 21

⇒ x ≥ 123/7

⇒ x ≥ \(17\frac{4}{7}\)

The plot on number line will be that the number will start start at x = \(17\frac{4}{7}\) and continue on the positive side.

The end with \(17\frac{4}{7}\) will have a closed circle representing greater than or equal to and there will be an arrow on the other side representing continous.

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On solving the provided question, we cans say that - here in coordinates S is given by: \((-2,4)\)

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

x-coordinate of \(X = -2\)

y-coordinate of\(S = 4.\)

S is given by: \((-2,4)\)

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On solving the provided question, we cans say that - here in coordinates S is given by: (-2,4)

A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.

x-coordinate of -2

y-coordinate of 4

S is given by: (-2,4)

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The image of the function f(x) = x² is equal to g(x) = x² - 1.

In this problem we find the definition of a quadratic equation f(x) = x² and the graph of the image, whose expression must be derived. By direct inspection, we notice that the image is a vertical translation of the parent function. Vertical translations are defined by the following formula:

f(x) → f(x) + k, k > 0 for an upward translation.

If we know that f(x) = x² and k = - 1, then the equation for the image is:

g(x) = x² - 1

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