selecciona el valor de BD, si BAD=63
a)126°
b)63°
c)234°

When the graph is decreasing, the rectangles give an underestimate and when the graph is increasing, they give an overestimate. These trends are accentuated to a greater extent by areas of the graph that are steeper.

We only need to add up the areas of all the rectangles to determine the area beneath the graph of f. It is known as a Riemann sum. The area underneath the graph of f is only roughly represented by the Riemann sum. The subinterval width x=(ba)/n decreases as the number of subintervals n increases, improving the approximation. Increased sections result in an underestimation while decreasing sections result in an overestimation. We now arrive at the middle rule. The height of the rectangle is equal to the height of its right edges for a right Riemann sum and its left edges for a left Riemann sum. The rectangle height is the height of the top edge's midpoint according to the midpoint rule, a third form of the Riemann sum.

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The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

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Answer:

51

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

2p² + 3s

Step 2: Define variables

p = 3

s = 11

Step 3: Replace variables

2(3)² + 3(11)

Step 4: Evaluate

2(9) + 33

18 + 33

51

Answer:

x = 1.5

y = 12.99

Step-by-step explanation:

let's call cost of 1 song is x and cost of 1 album is 6

6x + y = 21.99

4x + 3y = 44.97

6x + y = 21.99 => y = -6x + 21.99

Substitute into 4x + 3y = 44.97

4x + 3(-6x + 21.99) = 44.97

4x - 18x + 65.97 = 44.97

-14x = -21

x = -21/-14 = 1.5

y = -6x + 21.99 = -6(1.5) + 21.99 = 12.99

Answer: 42.308%

Step-by-step explanation:

The solution set of the inequality 8x + 2 > 34 is x > 4

The system of inequality is given as:

8x + 2 > 34

8x + 2 > 34

From the above system of inequality, we can see that the inequalities in the system are the same.

This means that:

8x + 2 > 34

Subtract 2 from both sides of the inequality

8x > 32

Divide both sides by 8

x > 4

Hence, the solution set of the inequality 8x + 2 > 34 is x > 4

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If x₁₁ increases by one unit while keeping the other predictor variables constant, the response variable y₁ will increase by B₁ units. In the given multiple regression model, SST is equal to 500.

In the multiple regression model, the effect of increasing one unit of a predictor variable on the response variable depends on the specific coefficient (B) associated with that predictor variable.

The sign and magnitude of the coefficient determine the direction and extent of the effect.

For the given model y₁ = B₁ + B₁x₁₁ + ... + Bx + u, if x₁₁ increases by one unit while keeping the other predictor variables constant, the response variable y₁ will increase by B₁ units, assuming all other coefficients and the error term remain constant.

Regarding the second question, you mentioned the regression model as y = B₁ + B₁x₁ + B₂x₂ + Bₓ + u, and provided the values:

SSR = 100 and SSE = 400.

To find SST (total sum of squares), we need to use the formula:

SST = SSR + SSE

Plugging in the given values, we have:

SST = 100 + 400

SST = 500

Therefore, SST is equal to 500.

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Answer:

Step-by-step explanation:

Part A

\(V=\pi r^2h=\pi *2.5^2*7.5=147.26\\=147in^3\\\)

Part B

\(r=\sqrt{\frac{V}{\pi h} } \\=\sqrt{\frac{75}{\pi *6} } \\=1.99\\=2in\)

Answer:

2.25

Step-by-step explanation:

2b + 2b - 4=5

Add 2b + 2b

bring down the -4 and 5

4b - 4=5

4b= 5+4

Add 5 + 4=9

4÷4b=9÷4 -Divide n both side

cancel the 4 sense their the same and bring down the B

Divide 9 and 4

9÷ 4= 2.25

B=2.25

Chuck Hill will finance $114,750 for the home.

Chuck Hill is purchasing a home with a selling price of $135,000.

As per the terms, he is required to make a 15% down payment.

To determine the amount he will finance, we can follow a straightforward calculation.

The down payment is calculated by taking a percentage of the selling price.

The down payment is 15% of $135,000.

To calculate this, we multiply the selling price by the decimal equivalent of 15% (0.15).

The down payment amounts to $20,250.

To determine the financed amount, we subtract the down payment from the total selling price.

The financed amount can be calculated as $135,000 - $20,250, resulting in $114,750.

This means that he will obtain a loan or mortgage for this amount, which will be repaid over a specified period with interest.

The financed amount represents the portion of the selling price that Chuck will rely on the financial institution to provide, while the down payment reflects the initial payment made directly by Chuck.

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Answer:

2

Step-by-step explanation:

let the number be n, then sum of number and 4 is n + 4 and 3 times the number is 3n, thus

n + 4 = 3n ( subtract n from both sides )

4 = 2n ( divide both sides by 2 )

2 = n

That is the number is 2

Answer:

2

Step-by-step explanation:

1.form an equation

call the number x

x+4=3x

2.solve using inverse operations

x=2

Answer:

y=-1/5x+3

Step-by-step explanation:

I think this the answer

Answer:

y = -1/5x - 3

Step-by-step explanation:

→ Find the x intercept

( - 15 , 0 )

→ Find y intercept

( 0 , -3 )

→ Find gradient

y = -1/5x + c

→ Substitute coordinate pair in

y = -1/5x - 3

The sequence is an arithmetic progression. The common difference is 1 while the first term is 43 .

d = common difference

a = first term

Since we were given last term we use the following formula

But we need to find number of term which is n

Ashley used 8/25 of the spool for her project.

To determine the fraction of the spool that Ashley used for her project, we need to multiply the fraction of the spool she had (4/5) by the fraction she used (2/5):

(4/5) * (2/5) = 8/25

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The given statement "The genitive singular form of the relative pronoun is quod" is False. What is Genitive? The genitive is a grammatical case in some languages that expresses a possessive relationship or a close relationship that might be equivalent to many English prepositional phrases.

Latin is a language that has this kind of case. It is employed to show possession, the whole of which is often equivalent to the English "of" construction. What is a pronoun? A pronoun is a word that takes the place of a noun in a sentence. It's used to avoid redundancy and to make sentences more straightforward. Pronouns may also aid in the clarity and conciseness of a sentence. A relative pronoun, like a typical pronoun, substitutes for a noun in a sentence.

It is used to link two clauses together and to represent a noun or a noun phrase in the second clause that refers back to a noun in the first clause. In Latin, the genitive singular form of the relative pronoun is cujus, not quod. Therefore, the given statement "The genitive singular form of the relative pronoun is quod" is False.

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Step-by-step explanation:

5x=95

X=95-5

X=90

Therefore ans is 90

a)   Exponential growth function models.

b) We can justify this reasoning because an exponential growth function is commonly used to model situations where a quantity increases or decreases at a constant percentage rate over time.

a. Exponential growth function models the total number of memberships in this situation.

b. Let N(n) be the total number of memberships after n years. Since the total number of memberships increases by 2% annually, we can write:

N(n) = N(0) * (1 + r)^n

where N(0) = 425 is the initial number of memberships, r = 2% = 0.02 is the annual growth rate, and n is the number of years elapsed since 2011.

Thus, the function that represents the total number of memberships after n years is:

N(n) = 425 * (1 + 0.02)^n

We can justify this reasoning because an exponential growth function is commonly used to model situations where a quantity increases or decreases at a constant percentage rate over time. In this case, the total number of memberships is increasing by 2% annually, so it makes sense to use an exponential growth function to model the situation.

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Answer: E. Categorical data

The number of nickels and dimes that Ariana has are 58 and 91

Linear Equation:

The polynomial equation with 1 degree representing an unknown quantity is known as a Linear equation. Here to represent the unknown quantity we will use variables like x, y, z .... etc.

From the given problem,

The amount that Ariana = $12.00

As we know 1 dollar = 100 cents

⇒ $12.00 = 12 × 100 = 1200 cents  

Total number of nickels and dimes = 149

Since we don't know the number of nickels and dimes we will represent them with variables x and y respectively.

The amount of x nickels coins

= x × 5 cents = 5x cents   [ ∵ nickels = 5 cents ]  

The amount of y dimes coins

= y × 10 cents = 10y cents   [ ∵ dimes = 10 cents ]  

From the above calculations the equation that can be formed

Total amount that Ariana is 5x + 10y = 1200 cents

=> x + 2y = 240 ----- Equation (1)  

Total number of coins is  x + y = 149 ----- Equation (2)    

Now solve (1) and (2) to find the number of each coin  

Do (1) - (2)

=> x + 2y - [ x + y ] = 240 - 149

=> x + 2y - x - y  = 91  

=> y  = 91      

Substitute y = 91 in Equation (2)      

(2) => x + 91 = 149

=> x = 58

The number of nickels and dimes that Ariana has are 58 and 91

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One of the primary goals of creating a frequency distribution for quantitative data is to properly represent the data as a whole. As a result, it is correct, as it accurately depicts the data as a whole.

Frequencies are organized into frequency distributions, which are visual displays, to make the information easier to understand. A frequency distribution can display absolute or relative frequencies, such as ratios or percentages. A frequency distribution can be represented by a graph or a frequency table. A frequency distribution can show both the exact number of observations and the proportion of observations that fall within each range. In the latter case, the distribution is referred to as a relative frequency distribution. The frequency of observation is the number of times it appears in the data. For example, the frequency of the number 9 in the following list of numbers is 5. (Because it happens five times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9

One of the primary goals of creating a frequency distribution for quantitative data is to properly represent the data as a whole.

As a result, it is correct, as it accurately depicts the data as a whole.

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Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

Answer:

780

Step-by-step explanation:

Explanation:

To get from  

5% to 100% you multiply by 20, so multiply the number in this case 39 by 20 percent.

39 is 5 percent of 780.

Given that we need to find 39 is 5% of what number,

To find the number that 39 is 5% of, we can use the concept of proportions.

Let's assume the number we're looking for is represented by "x." We can set up the proportion:

39 is 5% of x

Mathematically, this can be written as:

39 = 0.05x

To solve for x, we divide both sides of the equation by 0.05:

39 / 0.05 = x

The result is:

x = 780

Therefore, 39 is 5% of 780.

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Answer:

p.

Step-by-step explanation:

p is the independent variable.

The dependent one is h.

The value of h depends on the value of p.

Answer:

$301.8

Step-by-step explanation:

Step-by-step explanation:

x=2

y=0

then

????

Answer:

33%

Step-by-step explanation:

(68/206) × 100 = 33%

the answer is 33%

Answer:

B

Step-by-step explanation:

Answer:

6 students are taking all three

20 students are taking none.

Step-by-step explanation:

Please check image attached.

From the total of 33 that are taking Arabic, 14 only take Arabic and 13 take Arabic and Bulgarian (b + d), so the students that take only Arabic and Chinese together is:

a = 33 - 14 - 13 = 6

From the total of 39 that are taking Bulgarian, 19 only take Bulgarian and 13 take Arabic and Bulgarian, so the students that take only Bulgarian and Chinese together is:

c = 39 - 19 - 13 = 7

Now, from the total of 40 that are taking Chinese, 21 only take Chinese, 6 take only Arabic and Chinese and 7 take only Bulgarian and Chinese, so the number of students that take all three languages is:

d = 40 - 21 - 6 - 7 = 6 students

The number of students that take any language is 14 + 19 + 21 + 6 + 7 + 13 = 80 students, so 100 - 80 = 20 students take none of the three languages

For the given problem:

Let the number = x

Two less than the quotient of a number and 8 is 1/4

so, we can write the following expression:

Now, solve the equation to find (x)

Multiplying by (8) to eliminate the denominators:

Add (6) to both sides:

So, the answer will be the number is 18

Answer:

2/3=-1/3x+7

-19/3.-3=x

19=x

x=19