3) Find the area of the composite figure.
3 m
2 m
4 m

Answer: 0.5

Step-by-step explanation:

4x1/8 is 1/2

1/2= 0.5

Find the slope by using 2 sets of x,y values from the table.

Slope is change in y over change in x:

Slope = (-6 - -9) / (1 - -2) = 3/3 = 1

Then the y intercept is the value of y when x is 0. Looking at the table when x is 0 y is -7

The equation would be y = x-7

Total factor productivity. This term refers to the ratio of an organization's outputs to all of its inputs, including labor, capital, and other resources. This measurement is used to determine how efficiently an organization is using its resources to produce its desired outcomes.

An explanation of the other options is as follows:

- B. Total labor productivity refers only to the output of an organization divided by its labor inputs.
- C. Partial productivity measures the output of an organization relative to a single input factor, such as labor or capital.
- D. Total capital productivity measures an organization's output relative to its capital inputs.
- E. Efficiency ratio is a broader term that can refer to any ratio that measures an organization's efficiency in achieving its goals, but it does not specifically refer to the ratio of outputs to inputs.

total factor productivity is the most appropriate answer to the question as it measures the overall efficiency of an organization in using all of its resources to achieve its goals.

To know more about measurement , visit:

https://brainly.com/question/4725561

#SPJ11

Answer:

With the formula of lwh/3 the answer is 305.37

Step-by-step explanation:

l×w×h /3 =305.37

Answer:

916.11 ft³

Step-by-step explanation:

(9×6)×7.83/2×13/3

= 211.41×13/3

= 916.11 ft³

Answered by GAUTHMATH

Answer:

For City A, the expression for temperature change is 9 + (-8)

The amount the temperature changes for City A = 1°F

For City B, the expression for temperature change is -1 + (-3) = -4°F

The amount the temperature changes for City B = -4°F

Step-by-step explanation:

The given information are;

In City A, the temperature rise from 8 am to  9 am = 9°F

In City A, the temperature drop from 9 am to  10 am = 8°F

In City B, the temperature drop from 8 am to  9 am = 1°F

In City B, the temperature drop from 9 am to  10 am = 3°F

The expression for that represents the temperature change from 8 am to 10 am is therefore;

For City A

Temperature change from 8 am to 10 am are

8 am to  9 am = +9°F

9 am to  10 am = -8°F

Sum, change from 8 am to 10 am = 9 + (-8) = 1°F

For City B

Temperature change from 8 am to 10 am are

8 am to  9 am = -1°F

9 am to  10 am = -3°F

Sum, change from 8 am to 10 am = -1 + (-3) = -4°F

To calculate the Loan to Value (LTV) ratio, we divide the loan amount by the purchase price of the property and express the result as a percentage. LTV = 80%

Given: Purchase price of the building: $8,000,000 Loan amount: $6,400,000 LTV = (Loan amount / Purchase price) * 100 LTV = ($6,400,000 / $8,000,000) * 100 LTV = 0.8 * 100 LTV = 80%

Therefore, the Loan to Value (LTV) ratio in this scenario is 80%. This means that the bank has provided a loan equivalent to 80% of the purchase price of the building.

The remaining 20% of the purchase price, which is $1,600,000 in this case, would be the down payment or equity contribution made by the borrower. Correct answer is 80%

Know more about Loan amount here:

https://brainly.com/question/32260326

#SPJ11

The symmetric equations for the line passing through the point (4, -4, 9) and parallel to the vector (-1, 2, -3) are:

x = 4 - t

y = -4 + 2t

z = 9 - 3t

To find the symmetric equations for a line, we need a point on the line and a direction vector parallel to the line.

Given that the line is parallel to the vector (-1, 2, -3), we can write the direction vector as (-1, 2, -3)t, where t is a parameter.

Next, we use the point (4, -4, 9) on the line to set up the symmetric equations. For each coordinate, we have:

x-coordinate:

x - 4 = (-1)t

x = 4 - t

y-coordinate:

y + 4 = (2)t

y = -4 + 2t

z-coordinate:

z - 9 = (-3)t

z = 9 - 3t

Therefore, the symmetric equations for the line passing through the point (4, -4, 9) and parallel to the vector (-1, 2, -3) are x = 4 - t, y = -4 + 2t, and z = 9 - 3t.

In more detail, the equations x = 4 - t, y = -4 + 2t, and z = 9 - 3t represent the coordinates of any point (x, y, z) on the line. The parameter t allows us to obtain different points on the line as we vary its value. The direction vector (-1, 2, -3)t indicates the direction in which the line extends from the given point (4, -4, 9).

For example, if we set t = 0, we obtain the point (4, -4, 9), which lies on the line. As we increase or decrease the value of t, we move along the line parallel to the direction vector (-1, 2, -3), allowing us to find other points on the line.

Hence, the symmetric equations provide a concise way to express the relationship between the coordinates of points on the line and the parameter t.

Learn more about symmetric equations here:

brainly.com/question/33377196

#SPJ11

Note that the number of cars required for George and Marian to make a monthly profit of at least $8,000 is 2,467 cars.

Assume that they need to wash "x" cars to make a monthly profit of $8,000.

Their total revenue (TR) from washing "x" cars would be 6x dollars

Thus, their total profit = Revenue - Operating Costs

Profit = 6x - 6,800

We want to find the value of "x" that makes the profit at least $8,000, so we set up the inequality so....

6x - 6,800 ≥ 8,000

Adding 6,800 to both sides of the inequality, we get

6x ≥ 14,800

x ≥ 2,467

so , they need to wash at least 2,467 cars to make a monthly profit of at least $8,000.

Learn more about profit  at:

https://brainly.com/question/15036999

#SPJ1

There are 5,040 permutations of the sequence 's' with the first number being 4 and the eighth number being 5.


Since the first and eighth numbers are fixed (4 and 5), we need to determine the permutations for the remaining 6 numbers. There are 6! (6 factorial) ways to arrange these numbers, as each position can be filled by any of the remaining numbers. The formula for the number of permutations is:

Permutations = 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720

However, we must also account for the repetition of the numbers 4 and 5 in the sequence. Since there are two instances of each number (one at the beginning and one at the end), we must multiply the number of permutations by 2! for both 4 and 5:

Adjusted Permutations = 720 × 2! × 2! = 720 × 2 × 2 = 2,880


Taking into account the fixed positions of the numbers 4 and 5 and their repetition in the sequence, there are a total of 2,880 permutations of the sequence 's' with the first number being 4 and the eighth number being 5.

To know more about permutations visit :-

https://brainly.com/question/29990226

#SPJ11

The conditional probability P(A|B) for each value of m is as follows:

P(A|B), when m = 1, is 0.

P(A|B), when m = 2, is 1/4.

P(A|B), when m = 3, is 1/3.

P(A|B), when m = 4, is 0.

To determine the conditional probability P(A|B), where A represents the event that the maximum of X and Y is m and B represents the event that the minimum of X and Y is 2, we need to calculate the probability of A given that B has occurred.

Break down the problem for each value of m (1, 2, 3, and 4) and calculate P(A|B) for each case:

Case 1: m = 1

In this case, A represents the event that the maximum of X and Y is 1, and B represents the event that the minimum of X and Y is 2.

Since the maximum of X and Y cannot be 1 when the minimum is 2, the probability of A given B is 0.

P(A|B), when m = 1, is 0.

Case 2: m = 2

In this case, A represents the event that the maximum of X and Y is 2, and B represents the event that the minimum of X and Y is 2.

Out of the sixteen equally likely outcomes, we have four outcomes where both X and Y are 2 (2,2), (2,2), (2,2), (2,2). So, the probability of A given B is 4/16.

P(A|B), when m = 2, is 4/16 or 1/4.

Case 3: m = 3

In this case, A represents the event that the maximum of X and Y is 3, and B represents the event that the minimum of X and Y is 2.

We can have three outcomes where the maximum is 3: (3,3), (3,2), and (2,3). Out of these three outcomes, only one outcome satisfies B, which is (3,2). So, the probability of A given B is 1/3.

P(A|B), when m = 3, is 1/3.

Case 4: m = 4

In this case, A represents the event that the maximum of X and Y is 4, and B represents the event that the minimum of X and Y is 2.

Since the maximum of X and Y cannot be 4 when the minimum is 2, the probability of A given B is 0.

P(A|B), when m = 4, is 0.

In summary, the conditional probability P(A|B) for each value of m is as follows:

P(A|B), when m = 1, is 0.

P(A|B), when m = 2, is 1/4.

P(A|B), when m = 3, is 1/3.

P(A|B), when m = 4, is 0.

learn more about conditional probability: https://brainly.com/question/10739997

#SPJ4

The complete question goes thus:

A fair 4-sided die is rolled twice and we assume that all sixteen possible outcomes are equally likely. Let X and Y be the result of the 1st and the 2nd roll, respectively. We wish to determine the conditional probability P(AIB),

A={max(X,Y)=m}

B={min(X,Y)=2}

and m takes each of the values 1,2,3,4.

1:2=3:x

1/2=3/x

1×x=3×2

x=6

Answer:

Part 1: The transitive property of equality states that where given that item one is equal to item two, where item two is then equal to item three, then item one is also equal three.

Mathematically, the transitive property can be written as follows;

When X = Y, and Y = Z, then also X = Z

Part 2: The transitive property of equality can be represented using angles as follows

Given ∠A and ∠B are the base angles of an isosceles triangle, then ∠A ≅∠B  also ∠B and ∠C are vertically opposite angles, then ∠B ≅ ∠C, therefore, ∠A ≅ ∠C.

Step-by-step explanation:

The probability that the area of triangle PBC is less than half of the area of triangle ABC is ¾.

The area of the triangle is given by ½ *height*base. Hence, for the triangle ABC, the area is

Area = ½ (AC)(BC)

Draw a line DE which is parallel to CB at the height ½ AC.

As the triangle ABC and ADE are similar triangle,

AD/AC = DE/BC

½ AC/AC = DE/BC

DE/BC = ½

DE = ½ BC

As CBDE is a trapezoids whose area is given by ½ (sum of parallel side)*height. Hence,

Area = ½ (DE + BC)(1/2 AC) = ½ (1/2 BC + BC)(1/2 AC) = ¼( 3/2 BC)(AC) = 3/8(BC)(AC)

As long as P is located inside the trapezoid, the area of PBC will be less than ½ area of ABC. Hence,

Area of CBDE/Area of ABC = 3/8(BC)(AC)/ ½ (AC)(BC) = 3/4

Hence, the probability that probability that the area of triangle PBC is less than half of the area of triangle ABC is ¾.

Learn more about Area of triangle:

https://brainly.com/question/23945265

#SPJ4

The total cost of each utility eliminating 450 tons of pollution is $180,000.

To calculate the total cost for each utility to eliminate 450 tons of pollution, we need to multiply the cost per ton of pollution elimination by the number of tons each utility needs to eliminate.

For People's Electric, the cost of eliminating one ton of pollution is $400. So, to eliminate 450 tons, the total cost would be 450 tons * $400/ton = $180,000.

For Municipal Energy, the cost of eliminating one ton of pollution is $350. Again, to eliminate 450 tons, the total cost would be 450 tons * $350/ton = $157,500.

Therefore, the total cost for each utility to eliminate 450 tons of pollution is $180,000 for People's Electric and $157,500 for Municipal Energy.

The cost calculation is based on the given information that each utility is provided with 450 pollution permits by the government. These permits allow them to legally produce a ton of pollution. By setting a limit on the number of permits, the government aims to reduce pollution by half. The utilities have the option to trade permits with each other.

In this scenario, People's Electric has a higher cost of eliminating pollution per ton compared to Municipal Energy ($400 vs. $350). It means that People's Electric would find it more expensive to reduce pollution through internal measures like investing in cleaner technology or implementing environmental initiatives. On the other hand, Municipal Energy has a lower cost, indicating that they have relatively more cost-effective methods for pollution reduction.

Given these costs, it is more beneficial for People's Electric to purchase permits from Municipal Energy rather than eliminating the pollution themselves. By purchasing permits, People's Electric can meet the pollution reduction target at a lower cost. Conversely, Municipal Energy can generate additional revenue by selling their permits.

This permit trading mechanism allows for cost efficiency in achieving the government's pollution reduction goal. The total cost for each utility is determined by multiplying the cost per ton of pollution elimination with the number of tons they need to eliminate.

Learn more about the Pollution

brainly.com/question/23857736

#SPJ11

Answer:

El área del rectángulo es:

27 cm²

Step-by-step explanation:

Consideración:

La formula del perímetro de un rectángulo es:

p = 2(altura + base)

Planteamiento:

24 = 2(a+b)

b = 3a

a = longitud de la altura del rectángulo

b = longitud de la base del rectángulo

Desarrollo:

sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:

24 = 2(a + 3a)

24/2 = 4a

12 = 4a

a = 12/4

a = 3 cm

de la segunda ecuación del planteamiento:

b = 3a

b = 3*3

b = 9 cm

Comprobación:

de la primer ecuación del planteamiento:

24 = 2(3+9)

24 = 2*12

Respuesta:

la formula del área de un rectángulo es:

A = base * altura

A = 9cn * 3cm

A = 27cm²

The Area of rectangle is 27 unit².

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Perimeter = 24 cm

let the height of rectangle be x.

then the base= 3x

Now, Perimeter of rectangle= 2 ( l + w)

24 = 2( x+ 3x)

12 = 4x

x= 12/4

x= 3 units

So, length= 9 units and width= 3 units

Thus, Area of Rectangle= l x w

                                       = 9 x 3

                                       = 27 unit²

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ3

The translated Question is:

What is the area of a rectangle, knowing that its perimeter measures 24 cm and that its base is three times its height?

Answer:

I'm really understand the question

When trapezoidal prism undergoes a dilation, the size of the prism changes

The height of the image is 52.2 meters

The given parameters are:

A1 = 35 m²

A2 = 315 m²

H1 = 5.8 m

To calculate the height of the image, we make use of the following equivalent ratio

A1 : H1 = A2 : H2

So, we have:

35 : 5.8 = 315 : H

Express as fractions

35/5.8 = 315/H

Make H the subject

H = 315 * 5.8/35

Evaluate the product

H = 52.2

Hence, the height of the image is 52.2 meters

Read more about dilation at:

https://brainly.com/question/3457976

Answer:

17.4

Step-by-step explanation:

Answer:

1) Cgd = 2x - 2

  Cgd + 2 = 2x

  Cgd/2 + 1 = x

2) cgf = 7x + 2

   cgf - 2 = 7x

   cgf/7 -2/7 = x

The observed percentage of aces is d) 0.4, below

To determine the observed percentage of aces, we divide the number of aces (100) by the total number of rolls (624) and multiply by 100 to get the percentage.

Observed percentage of aces = (100/624) * 100 ≈ 16.03%

The expected value for rolling a fair die is 1/6 or approximately 16.67%.

To calculate the standard error, we use the formula:

Standard Error = \(\sqrt((p * (1 - p)) / n)\)

where p is the expected probability (1/6) and n is the sample size (624).

Standard Error = \(\sqrt((1/6 * (1 - 1/6)) / 624)\) ≈ 0.0242

Now, we compare the observed percentage to the expected value in terms of standard errors:

Difference in standard errors = (observed percentage - expected value) / standard error

                          = (16.03 - 16.67) / 0.0242

                          ≈ -2.643

The observed percentage of aces is approximately 2.643 standard errors below the expected value.

Therefore, the correct answer is D. 0.4, below.

Learn more hypothesis testing  

brainly.com/question/30701169

#SPJ11

Answer:

X= 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

-7x - 8 = -10x + 4

-7x - 8 + 10x = 4 ( add 10x to the left side and subtract 10x from the right)

3x - 8 = 4 ( add -7x and 10x to get 3x)

3x = 4 + 8 ( add 8 to the right and subtract 8 from the left)

3x = 12 ( add 4 and 8 to get 12 )

\(\frac{3x}{3}\) = \(\frac{12}{3}\) ( divide both sides by 3 )

x = 4

The answer is x =4

HOPE THIS HELPED

Answer:JEROME

Step-by-step explanation:

Answer:

Step-by-step explanation:

The possible pair of a and b are; (-2, 2)

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

Given that 2.(2x+a) (3x+b) is the same as the product of polynomials 3.(x-1)-(4x+1)

2.(2x+a) (3x+b) =  3.(x-1)(4x+1)

(4x + 2a)(6x + 2b) = (3x-3)(12x+ 3)

Let multiply by 3 then

3(4x + 2a)(6x + 2b)

= (12x + 6a)(18x + 6b)

Multilpy by 4 on left side;

(12x- 12)(48x+ 12)

So, (12x + 6a) = (12x- 12)

6a = -12

a = -2

Now, (18x + 6b) = (48x+ 12)

b = 2

The pair of a and b could be (-2, 2)

Learn more about polynomials here:

https://brainly.com/question/27343162

#SPJ1

Answer:

b,c,d,f

Step-by-step explanation:

\(perimeter=2(3\sqrt{8} +4\sqrt{20} +2\sqrt{24} ) \\=2(3\sqrt{8} )+2(4\sqrt{20} +2\sqrt{24} ) \\=6\sqrt{8} +8\sqrt{20} +4\sqrt{24} \\=6.8^{\frac{1}{2} } +8.20^{\frac{1}{2} } +4.24^{\frac{1}{2} } \\or~ =12\sqrt{2} +16\sqrt{5} +8\sqrt{6} \\\)

(a) The radius of the small sphere is 2 centimeters.

(b) The measure of the angle XAB is approximately 36.870°.

(c) The area of the shaded region is approximately 3.107 square centimeters.

Herein we have a geometric system formed by three big semicircles and a small circle, whose geometric diagram is attached below. (a) The relationship between the semicircles and the circle is represented by two formulae:

8² + h² = (8 + r)²     (1)

h + r = 8                  (2)

Where r is the radius of the small circle.

Then, we solve the system:

8² + (8 - r)² = (8 + r)²

64 + 64 - 16 · r + r² = 64 + 16 · r + r²

32 · r = 64

r = 2

The radius of the small sphere is 2 centimeters.

(b) The measure of the angle XAB is found by trigonometric relations:

cos m ∠ XAB = OA / AX

cos m ∠ XAB = 8 / 10

m ∠ XAB ≈ 36.870°

The measure of the angle XAB is approximately 36.870°.

(c) The area of the shaded region is the area of the triangle minus the area of the three circular sections:

A = 0.5 · (16 cm) · (10 cm) · sin 36.870° - (36.870° /180) · π · (8 cm)² - 0.5 · (106.260° / 180) · π · (2 cm)²

A ≈ 3.107 cm²

The area of the shaded region is approximately 3.107 square centimeters.

To learn more on triangles: https://brainly.com/question/2773823

#SPJ1

Answer:

9.523

Step-by-step explanation:

The equilibrium constant can be determined using the concentrations of reactants and products at equilibrium. In this case, the initial concentrations of substances A, B, and C are given as [A] = 0.50 M, [B] = 0.75 M, and [C] = 1.2 M, while the equilibrium concentration of C is [C] = 1.0 M.

The equilibrium constant, denoted as K, is defined as the ratio of the product of the concentrations of the products to the product of the concentrations of the reactants, each raised to the power of their stoichiometric coefficients. In this case, the balanced chemical equation is not provided, so we cannot directly calculate the equilibrium constant.

To determine the equilibrium constant, we need the balanced chemical equation representing the reaction. Once the balanced equation is available, we can determine the stoichiometric coefficients and calculate the equilibrium constant using the concentrations at equilibrium. Without the specific reaction, we cannot provide a numerical value for the equilibrium constant.

Learn more about ratio here: https://brainly.com/question/31945112

#SPJ11

Answer:

The Mean is 6.

Step-by-step explanation:

Answer:

i believe the table representing linear function would be the bottom left.