What is the image point of
(
−
2
,
−
3
)
(−2,−3) after a translation right 2 units and up 4 units?

The B-C ratio for the retrofitted space-heating system is 2.52. This indicates that for every dollar invested, the project is expected to generate $2.52 in benefits.

The benefit-cost (B-C) ratio is a measure used to evaluate the economic feasibility of a project. It is calculated by dividing the present value of benefits by the present value of costs.

To calculate the B-C ratio for the retrofitted space-heating system in the small office building, we need to consider the costs and benefits over the eight-year period.

The initial cost of purchasing and installing the system is $55,000. This is a cost that occurs at the beginning of the project.

The annual savings in electric power from the system is 200,000 kWh. With a cost of $0.13 per kWh, the annual savings in electricity costs can be calculated as 200,000 kWh/year * $0.13/kWh = $26,000/year.

The additional operating and maintenance expenses per year are $6,100.

The market value of the system at the end of eight years is $11,000.

To calculate the present value of the benefits and costs, we need to discount them using the company's minimum attractive rate of return (MARR) of 18% per year. The discount factor for each year can be found in the interest and annuity table.

After discounting the annual savings, the market value at the end of eight years, and the annual operating and maintenance expenses, we can calculate the present value of the benefits and costs.

Once we have the present value of benefits and costs, we can calculate the B-C ratio by dividing the present value of benefits by the present value of costs.

Therefore, based on the benefit-cost method, it is recommended to proceed with the retrofitted space-heating system as it has a B-C ratio greater than 1, indicating that the benefits outweigh the costs.

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Answer:

(-1 , 0)

Step-by-step explanation:

I think this is it but I didn't know if it was 6 times 2 or 6 x 2

The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).

In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:

M(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

M(x, y) = [(5(2) + 4(-6))/(5 + 4)],  [(5(-11) + 4(-2))/(5 + 4)]

M(x, y) = [(10 - 24)/(9)],  [(-55 - 8)/9]

M(x, y) = [-14/9],  [(-63)/9]

M(x, y) = (-1.6, -7)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Formula :

Perimeter of Trapezium = sum of all sides

AB + BD + EC + BC [Refer to the attachment]

AB = 14 cm

EC = 6 cm

BD = 8 cm

Let's find the length of side BC

In right angle triangle , BDC

EC = 14 cm

AB = 6 cm

DC = EC - AB

= 14 - 6

= 8 cm

According to Pythagoras theorem,

BC² = DC² + BD²

BC² = 8² + 8²

BC² = 64 + 64

BC = √128

Perimeter = sum of all sides

= 14 + 6 + 8 +11.31

= 20 + 8 + 11.31

= 28 + 11.31

Using the formula for the crude birth rate we find out that the crude birth rate for the country Poland is 9.78.

It is given to us that -

There were 375,160 births in Poland

The population counted 38,346,279 people

We have to find out the crude birth rate for this country.

The crude birth rate of a country can be defined as the ratio between the number of live births that happened in a population for a given year and the total population of the country for that particular year and then multiplying the ratio by 1000.

So, the crude birth rate for the country, Poland with 375,160 births and population of 38,346,279 people can be given as -

\((\frac{375160}{38346279}) * 1000\\= 9.78\)

Therefore, the crude birth rate for the country Poland is 9.78.

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The 11th rating must be at least 85 in order for the store to have an average of at least 85 for the first 20 ratings. The least value the store can receive for the 11th rating and still be able to have an average of at least 85 for the first 20 ratings is 85.

To calculate this, we need to find the total of all the ratings so far, including the 11th rating, and then divide that by the number of ratings. We know that the first 10 ratings have an average of 75, so the total of all ratings is 750 (75 x 10).

To reach an average of 85, we need the total of the ratings to be 850 (85 x 10).

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The limit of the sequence (1) {2}, (2) {(-1)^n}, and (3) {n sin(n)}, converges to DNE (does not exist) or the sequence diverges. The limit of the sequence (4) {sin(nπ)} is undefined, as it oscillates between -1 and 1.

In the case of sequence (1) {2}, the limit is a constant value, and the sequence converges to that value. However, in the case of sequence (2) {(-1)^n}, the sequence oscillates between -1 and 1, and there is no single value that it approaches as n tends to infinity. Therefore, the limit does not exist, and the sequence diverges.

Sequence (3) {n sin(n)} also does not have a limit as n tends to infinity. The term n sin(n) oscillates between positive and negative values without approaching a specific value. Hence, the limit of this sequence is DNE, and it diverges.

In the case of sequence (4) {sin(nπ)}, the term sin(nπ) oscillates between -1 and 1 as n varies. Since there is no convergence to a specific value, the limit of this sequence is undefined.

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Answer:

C

Step-by-step explanation:

Answer: A challenge?

Just kidding the answer is

15.625x+3.8024

Step-by-step explanation:

Answer: 1) 16

Step-by-step explanation:

√36 + 2√25

√36=6

6+2√25

√25=5

6+2(5)=

6+10= 16

Answer:

$288.5948 or $288.60

Step-by-step explanation:

In the method I was taught, you use the part = percent x whole. So let us first substitute the equation with values to solve it.

Part = x (unknown)

% = 52% (because 100-48=52%)

Whole = 554.99

Once we substitute, we can now solve. Make sure to change the percent to a decimal, or it won't work.

p = 0.52 x 554.99

p = $288.5948 cost

I hope this helped! :D

the specific lock code for your refrigerator. However, I hope this explanation helps you understand the concept of lock codes and their purpose in securing devices and objects.

but I cannot provide the code to the lock on your refrigerator. As an AI helper on Brainly, I don't have access to specific lock codes for individual appliances.

However, if you are trying to understand the concept of lock codes, I can provide a general explanation. A lock code is a combination of numbers, letters, or symbols that is used to secure and restrict access to a device or object, such as a refrigerator. It acts as a password or key to prevent unauthorized individuals from opening the lock.

The lock code for a refrigerator is typically set by the owner or manufacturer and can be personalized for security purposes. It is important to keep the lock code confidential to ensure that only authorized individuals can access the refrigerator.

I cannot provide the specific lock code for your refrigerator. However, I hope this explanation helps you understand the concept of lock codes and their purpose in securing devices and objects.

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Answer:

4x-6

Step-by-step explanation:

x+x+10+2x-16​

Combine like terms

x+x+2x     +10-16

4x   -6

4x-6

Answer:

\(4x - 6\)

Step-by-step explanation:

\(x + x + 10 + 2x - 16\)

combine like terms

\(x + x + 2x + 10 - 16 \\ 2x + 2x - 6 \\ = 4x - 6\)

hope this helps

brainliest appreciated

good luck! have a nice day!

The expressions (B) and (C) are equivalent to -0.75(32 + 24e - 4f).

To determine which expressions are equivalent to -0.75(32 + 24e - 4f), we can simplify the given expression and compare it to the options.

-0.75(32 + 24e - 4f) can be simplified as follows:

-0.75(32) + (-0.75)(24e) + (-0.75)(-4f)

-24 - 18e + 3f

Now let's compare the simplified expression to the given options:

(A) 24 + 18e - 3f: Not equivalent

(B) -18e + 3f - 24: Equivalent

(C) -24 - 18e + 3f: Equivalent

(D) 8 - 6e - f: Not equivalent

(E) 3(-8 - 6e + f): Not equivalent

From the options, expressions (B) and (C) are equivalent to -0.75(32 + 24e - 4f).

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The sum of angle in a triangle is 180°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

The sum of angle A, B and C is 180 i.e A+B +C = 180°

Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180

How do we prove that the sum of angle in a triangle is 180°?

Since triangle is 3 sided, n= 3, because n denote the number if sides

therefore the sum of angle = (n-2) 180 = (3-2)×180

= 180°

therefore the sum of angle In a triangle is 180°

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Answer:

the thrid one

Step-by-step explanation:

bc its all correct like i went over all of it and its correct glad to help bro!!!!!

Answer:

c

Step-by-step explanation:

The portfolio beta can be calculated by weighting the individual betas of each stock by their respective percentages in the portfolio. In this case, the portfolio beta is 1.185.

To calculate the portfolio beta, we need to use the weighted average of the individual stock betas. The formula for calculating the portfolio beta is as follows:

Portfolio Beta = (Weight of Stock q * Beta of Stock q) + (Weight of Stock r * Beta of Stock r) + (Weight of Stock s * Beta of Stock s) + (Weight of Stock t * Beta of Stock t)

Given that the weights of the stocks in the portfolio are 15%, 25%, 40%, and 20%, and the betas of the stocks are 0.75, 0.87, 1.26, and 1.76 respectively, we can substitute these values into the formula:

Portfolio Beta = (0.15 * 0.75) + (0.25 * 0.87) + (0.40 * 1.26) + (0.20 * 1.76)

             = 0.1125 + 0.2175 + 0.504 + 0.352

             = 1.185

Therefore, the portfolio beta is 1.185.

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The students could use what they know of triangle rectangles, in the image below you can see the diagram that the students could use to estimate the height of the tower.

First, the students could use the measuring tape to find the distance between the base of the tower and them, this distance is represented with the variable S in the image below.

Now, using the clinometer, they could find the elevation angle between their viewpoint and the tip of the tower. This would be the angle θ in the image (notice that they should do this from the ground).

So at this point, we know one angle and the adjacent cathetus to that angle.

And we want to find the height of the tower, which is the opposite cathetus to the known angle.

Then we can remember the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing these by the things we know:

tan(θ) = H/S

tan(θ)*S = H

Then, by measuring θ and S, we can find the height.

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Answer:

the sum of 5and b is not equal to 16

pls mark as brainlist

Given sentence

Inequality:-

\(\\ \sf\longmapsto 5+b\leqslant 16\)

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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The area of the trapezoid will be 4 sq. unit.

What precisely is a trepezium?

Trapezoids are made up of two parallel and two oblique sides. A Trapezium is another name for it. A trapezoid is a closed four-sided shape or figure with a space-filling perimeter. It is a 2D figurine rather than a 3D figure. A trapezoid's bases are the sides that are parallel to one another. Legs are non-parallel sides, often known as lateral sides. The space between its parallel sides determines its height.

A trapezium's area is equal to 1/2*(a+b)*h.

where h is the height or distance between two parallel lines

The lines a and b are parallel.

Now,

From given coordinated

the length of two parallel lines will be 5-2=3 and 3-2= 1

and height between them is 3-1=2

then area of trapezium will be =1/2*(3+1)*2

=8/2

=4 sq. unit

Hence,

            The area of the trapezoid will be 4 sq. unit.

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Answer:   The area of the trapezoid will be 4 sq. unit.

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

for this triangle:       base = 32 in       height = 16 in

  area = 1/2 ( 32)(16)  = 256 in^2

Answer:256 square inches

Step-by-step explanation: i took the quiz :)

we can write: log(ab) = log a + log b.

(a) To express a, b, and ab as powers of 10, use the given information:
m = log a → a = 10^m
n = log b → b = 10^n
k = log(ab) → ab = 10^k

(b) Use your knowledge of exponents to find a relationship among m, n, and k:
Since a = 10^m and b = 10^n, multiply a and b:
ab = (10^m)(10^n)

Using the exponent rule (a^m * a^n = a^(m+n)):
ab = 10^(m+n)

Now, we know that ab = 10^k from part (a), so:
10^k = 10^(m+n)

(c) Conclude that log(ab) = log a + log b:
Since 10^k = 10^(m+n), we can take the logarithm of both sides:
log(10^k) = log(10^(m+n))

Using the logarithm rule log(a^b) = b * log(a), we get:
k * log(10) = (m + n) * log(10)

Now, divide both sides by log(10):
k = m + n

Remembering that m = log a, n = log b, and k = log(ab), we can write:
log(ab) = log a + log b.

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By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

WHat is Divisibility?

Divisibility is a mathematical property that describes whether one number can be divided evenly by another number without leaving a remainder. If a number is divisible by another number, it means that the division process results in a whole number without any remainder. For example, 15 is divisible by 3

To prove that 4 evenly divides 11n - 7n for any positive integer n, we can use mathematical induction.

Base Case:

When n = 1, 11n - 7n = 11(1) - 7(1) = 4, which is divisible by 4.

Inductive Step:

Assume that 4 evenly divides 11n - 7n for some positive integer k, i.e., 11k - 7k is divisible by 4.

We need to prove that 4 evenly divides 11(k+1) - 7(k+1), which is (11k + 11) - (7k + 7) = (11k - 7k) + (11 - 7) = 4k + 4.

Since 4 evenly divides 4k, and 4 evenly divides 4, it follows that 4 evenly divides 4k + 4.

By mathematical induction, we have proved that for any positive integer n, 4 evenly divides 11n - 7n.

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Answer:

4x - 5y = 30

4x - 5(0) = 30

x1 = 7.5 y1 = 0

Find y-intercept

The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.

4x - 5y = 30

4(0) - 5y = 30

y2 = -6 x2 = 0

(x1,y1) and (x2,y2)

(7.5,0) and (0,-6)

Solve for x

To solve for x, we solve the equation so the variable x is by itself on the left side:

4x - 5y = 30

x = 1.25y + 7.5

Solve for y

To solve for y, we solve the equation so the variable y is by itself on the left side:

4x - 5y = 30

y = 0.8x - 6

Answer:

Step-by-step explanation:

From the given table, we pick up two points and find the slope using the formula

Points are (1,-2) and (2,-6)

Substituting these values in the formula, we will get

Now we will use point slope form, which is

Substituting one point and the value of m, we will get

Distributing -4 on x-1

(a) The function f(x) = 2x^3+3x-1 has at most one real root because its discriminant is positive, which means it has two complex roots and one real root at most.

(b) The function f(x) = 2x^3+3x-1 has a root in the interval [0,1] because f(0) is negative and f(1) is positive, and the intermediate value theorem guarantees the existence of a root between these values.

(c) Using two iterations of Newton's method starting with an initial guess of x_0 = 0.5, we can approximate the real root of f(x) to be x = 0.414217

(a) The function f(x) is a polynomial of degree three, which means it can have at most three roots. However, not all three roots need to be real. In this case, we can use the discriminant of the polynomial to determine the number of real roots. The discriminant is given by b^2 - 4ac, where a = 2, b = 3, and c = -1. Plugging these values into the formula, we get:

b^2 - 4ac = 3^2 - 4(2)(-1) = 17

Since the discriminant is positive, the polynomial has two complex roots and one real root at most.

(b) To show that the polynomial has a root in the interval [0,1], we can evaluate f(0) and f(1) and show that they have opposite signs. This is known as the intermediate value theorem. We have

f(0) = 2(0)^3 + 3(0) - 1 = -1

f(1) = 2(1)^3 + 3(1) - 1 = 4

Since f(0) is negative and f(1) is positive, there must be a root of f(x) in the interval [0,1].

(c) To use Newton's method to approximate the root of f(x), we need to start with an initial guess. Let's use x_0 = 0.5. The formula for Newton's method is

x_(n+1) = x_n - f(x_n)/f'(x_n)

We need to compute f(x_n) and f'(x_n). We have

f(x_n) = 2(x_n)^3 + 3(x_n) - 1

f'(x_n) = 6(x_n)^2 + 3

Plugging in x_0 = 0.5, we get

f(x_0) = 2(0.5)^3 + 3(0.5) - 1 = 0.375

f'(x_0) = 6(0.5)^2 + 3 = 4.5

Using these values in the Newton's method formula, we get

x_1 = x_0 - f(x_0)/f'(x_0) = 0.5 - 0.375/4.5 = 0.416666...

We can repeat the process with x_1 as the new guess

f(x_1) = 2(0.416666...)^3 + 3(0.416666...) - 1 = 0.007716...

f'(x_1) = 6(0.416666...)^2 + 3 = 4.238425...

Plugging these values into the formula, we get

x_2 = x_1 - f(x_1)/f'(x_1) = 0.416666... - 0.007716.../4.238425... = 0.414217...

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