Solve the linear equation.

2 (x + 7) = 6x + 9 - 4x​

Answer:

The mode is 78, which appears the most times (3).

The mode of the given data 62, 78, 84, 62, 72, 78, 54, 60, 78, 80 is 78.

The mode is the data that occurs most frequently, in the data set listed below 62, 78, 84, 62, 72, 78, 54, 60, 78, 80. We can see that the number 78 appears three times, which is more than any other value in the set when we look at the data.

Note: If multiple values occur with the same highest frequency, but in this case, 78 is the only mode, the data set may have multiple modes.

Thus, the mode of 62, 78, 84, 62, 72, 78, 54, 60, 78, and 80 data set is 78.

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The Net Present Value (NPV) of the investment opportunity cannot be determined based on the given information. None of the provided options is within $26 of the NPV of this investment opportunity.

Net Present Value (NPV) is a financial metric used to assess the profitability of an investment. It represents the difference between the present value of cash inflows and the present value of cash outflows over a specific time period. In order to calculate the NPV, we would need information on the cash flows associated with the investment and the appropriate discount rate. To calculate the NPV of an investment opportunity, we need additional information such as the cash flows associated with the investment, the discount rate, and the time period over which the cash flows occur. Without these details, it is not possible to calculate the NPV accurately. The NPV represents the present value of the expected cash flows from the investment, discounted by the appropriate rate to account for the time value of money.

In this case, since we don't have the necessary data, we cannot determine the NPV and select the correct option from the given choices. It's important to have complete information about the cash flows and discount rate to accurately calculate the NPV and make informed decisions regarding investment opportunities.

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Answer:

\(x \leqslant 32\)

Answer: 3128 students

Step-by-step explanation:

Total no of students in the school : 3200

No of sophomores in favor of the school forming a crew team : 38

No of the remaining students in favor of forming a crew team : 34

Total students in favor of forming a crew team = 38+34= 72

No of students against it : Total students - Students in favor

                                          = 3200-72 = 3128 students

Answer:

Supplementary angles are two angles whose sum is equal to 180∘. In other words when you add the measure of one angle in the pair with the other angle in the pair, they equal 180 degrees. These two angles are supplementary because together they form a straight line.Jun 5, 2017

Step-by-step explanation:

Luna~

Answer:

its a black picture...?

Step-by-step explanation:

Answer:

6:18 i think

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

if you multiply 2 and 5 together, you get a product of 10.

Answer: it would be 2d because its the product and product means to multiply

Answer:

B.

Step-by-step explanation:

x^4

please mark brainliest

\((x)(x)(x)(x)\\\\=x^{1+1+1+1} ~~~ ;[x^a \cdot x^b = x^{a+b}]\\\\=x^4\)

Answer:

11

Step-by-step explanation:

7 1/3 ÷ 2/3 = 11

(please give brainliest)

Answer: 1/11

Explanation:

KCF

(keep, change, flip)

Answer:

16

Step-by-step explanation:

Negative times negative = positive

-1(-2) = 2

2(-4) = -8

-8(-2) = 16

Please consider giving this answer brainliest if it helped you. Thanks!

Answer:

─16

Step-by-step explanation:

1(−2)(−4)(−2) when x=1, y=2, z=5 which equals, ─16

To find the dimensions of a blanket with an area of 9ft^2 and a length twice the width minus 3 feet, you need to solve a quadratic equation. The width is approximately 2.25 feet, and the length is approximately 2 feet.

Let's assume that the width of the blanket is x feet. Then, the length of the blanket can be expressed as 2x - 3 feet (as per the given information).

Now, we can use the formula for the area of a rectangle to set up an equation

Area = Length x Width

Substituting the given values

9 ft^2 = (2x - 3 ft) x (x ft)

Expanding the right side

9 ft^2 = 2x^2 - 3x ft

Bringing everything to one side

2x^2 - 3x ft - 9 ft^2 = 0

Now, we can use the quadratic formula to solve for x.

x = [3 ± √(3^2 - 4(2)(-9))]/(2(2))

x = [3 ± √(105)]/4

Since the width cannot be negative, we take the positive root

x = [3 + √(105)]/4

x ≈ 2.5 ft

Therefore, the width of the blanket is approximately 2.5 feet, and the length is 2(2.5) - 3 = 2 feet.

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a) Since the new score is less than the average score, it will decrease the average.

a) Since the new score is less than the average score, it will decrease the average.

b) Sum of 27 scores = 27*79

Hence,

New average = (79*27 + 63)/28 = 78.43

c) Since the variability would increase in the overall data, the standard deviation increases.

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This product would be placed in the Cash Cow quadrant of the growth-share matrix due to its low growth rate but high market share. The product name is Dog's Delight Pet Treats.

Product A:

A small, locally-owned business that sells its own line of all-natural pet treats. Sales have been steady but low, with an average annual growth rate of 3%.

Product A: Dog's Delight Pet Treats - Cash Cow

The growth-share matrix is a tool used to analyze the relative markers share and growth rate of products and services. The matrix has four quadrants: Stars, Cash Cows, Question Marks, and Dogs. Stars have a high market share and a high growth rate; Cash Cows have a high market share but a low growth rate; Question Marks have a low market share but a high growth rate; and Dogs have a low market share and a low growth rate.

Product A is a small, locally-owned business that sells its own line of all-natural pet treats. Sales have been steady but low, with an average annual growth rate of 3%. This product would be placed in the Cash Cow quadrant of the growth-share matrix due to its low growth rate but high market share. The product name is Dog's Delight Pet Treats.

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Answer:

4.5

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

There are 3 triangles for both 1 and 3 and 12 triangles in total.

The chance of getting 1 is 3/12 and the chance of getting 3 is 3/12

Since 3/12 = 3/12 then the chances are equal.

Answer:

3 because it's a most common number 1 Is rare

The equation that shows the relationship between the angles in the triangle is m∠1 + m∠2 + m∠3 = 180.

The equation that shows the relationship between the angles in the triangle is determined as follows;

The sum of angles in a triangle is equal to 180 degrees.

So based on this information, the equation that shows the relationship between the angles in the triangle is formulated as;

angle 1 + angle 2 + angle 3 = 180

We can re-write the equation as follows;

m∠1 + m∠2 + m∠3 = 180

Thus, the equation that shows the relationship between the angles in the triangle is the sum of angle 1 plus angle 2 plus angle 3.

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Answer:

p=(17/2)(52/68)

Step-by-step explanation:

logic

Answer:

The correct answer is the 3rd option

Hope this helps!

Mark me brainliest if I'm right :)

Answer:

A. 57.2

Step-by-step explanation:

Given: Nelly runs =  10-mile race in 88 minutes. At the same rate but 6.5-mile race

To find: How long it would take him to run a 6.5-mile race

Solution: To calculate the how long;

How to calculate running pace

How to calculate run distance

How to calculate run time

How to calculate running speed

Step-by-step explanation:

The 3 possible solutions for the inequality.

Add (or subtract) a number from both sides. Multiply (or divide) both sides by a positive number. Simplify a side

try this to get your answer

answer

b5

Step-by-step explanation:

If b = 3, then the inequality becomes 17 ≥ 2(3) or 17 ≥ 6, which is true.

If b = 6, then the inequality becomes 17 ≥ 2(6) or 17 ≥ 12, which is not true.

If b = 2, then the inequality becomes 17 ≥ 2(2) or 17 ≥ 4, which is true.

If b = 5, then the inequality becomes 17 ≥ 2(5) or 17 ≥ 10, which is true.

Therefore, the solutions to the inequality 17 ≥ 2b are b = 3, b = 2, and b = 5.

Answer:

30

Step-by-step explanation:

5=5,10,15,20,25,(30),35

6=6,12,18,24,(30),36

30 is the first number that can be used to divide both numbers

Answer:

30

Step-by-step explanation:

5* 6 =30 and no number less than 30 works :)

Answer:

  the can with the 5-inch radius will cost more

Step-by-step explanation:

The cost will be given by the formula ...

  cost = 1.40 × (top & bottom area) + 0.90 × (lateral area)

In terms of radius and height the areas are ...

  top & bottom area = 2πr²

  lateral area = 2πrh

So, the total cost of a can with radius r and height h is ...

  c(r, h) = 1.40·2πr² +0.90·2πrh

Filling in the given values and doing the arithmetic, we find the costs to be ...

  c(4, 5) = $253.84

  c(5, 4) = $333.01

The cost of the can with the 5-inch radius is the greatest.

Answer:

The cylinder with radius of 5 inches and height of 4 inches costs more to manufacture.

Step-by-step explanation:

First Can:

Top and Bottom Surface Area = 2(pi(4)^2) = 2(16pi) = 32 pi = 100.53 square inches

Cost for top and bottom surface area = 1.40 * 100.53 = $140.74

Curved Surface Area = 2pi*r*h = 2*pi*4*5 = 40 pi = 125.66 square inches

Cost for Curved Surface Area = 125.66 * 0.90 = $113.10

Total Cost = $140.74 + $113.10 = $253.84

Second Can

Top and Bottom Surface Area = 2(pi(5)^2) = 2(25pi) = 50 pi = 157.08 square inches

Cost for top and bottom surface area = 1.40 * 157.08 = $219.91

Curved Surface Area = 2pi*r*h = 2*pi*5*4 = 40 pi = 125.66 square inches

Cost for Curved Surface Area = 125.66 * 0.90 = $113.10

Total Cost = $219.91 + $113.10 = $333.01

So, the cylinder with radius of 5 inches and height of 4 inches costs more to manufacture.

Answer:

550 pounds of lettuce and cheese combined.

Step-by-step explanation:

ok so

1/10 of 5,000

and

1/100 of 5,000

(1/10)5,000

it is 500 pounds of cheese

now for 1/100

(1/100)5000

it is 50 pounds of lettuce

500+50=550

Hope this helps.

The volume of Darby is given as 76 in'^2

Volume = (4/3)πr³

First, we need to find the radius (r) of the sphere. Since the diameter is given as 21/4, we can find the radius by dividing the diameter by 2:

radius (r) = (21/4) / 2 = 21/8

Now, we can calculate the volume using the formula:

Volume = (4/3)π(21/8)³

Volume = (4/3)π(9261/512) (since (21/8)³ = 9261/512)

Now, we can find the numerical value of the volume:

Volume ≈ (4/3) * 3.14159 * (9261/512)

Volume ≈ 4.18879 * 18.10352

Volume ≈ 75.89438

Rounding the volume to the nearest whole number:

Volume ≈ 76

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The annual rate of decline is 5.3%.

What is exponential ?

Exponential refers to a mathematical function where the variable is in the exponent. Exponential functions have the general form:

\(f(x) = a^{x}\)

here "a" is a constant called the base, and "x" is the variable. When the base "a" is a positive number greater than 1, the function grows exponentially as "x" increases. When the base "a" is a number between 0 and 1, the function decays exponentially as "x" increases.

We can start by using the formula for exponential decay:

\(N(t) = N0 * (1 - r)^{t}\)

where N(t) is the population after t years, N0 is the initial population, r is the annual rate of decay (as a decimal), and t is the time in years.

We are given that the initial population is 670, so N0 = 670. After 4 years, the population has reduced to 557, so N(4) = 557. We can plug these values into the formula and solve for r:

\(557 = 670 * (1 - r)^{4}\)

\((557/670)^{1/4} = 1 - r\)

\(0.947 = 1 - r\)

\(r = 0.053\)

So the annual rate of decline is 5.3%.

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The correct statement is: as x → -7-, y → [infinity] and as x → -7+, y → -[infinity].

The behavior of the graph of the function F(x) = (-2x^2 + 14) / (x^2 - 49) at the vertical asymptotes can be described as follows: as x approaches -7 from the left (x → -7-), y approaches negative infinity (y → -∞), and as x approaches -7 from the right (x → -7+), y approaches positive infinity (y → +∞). Similarly, as x approaches 7 from the left (x → 7-), y approaches positive infinity (y → +∞), and as x approaches 7 from the right (x → 7+), y approaches negative infinity (y → -∞).

To understand the behavior at the vertical asymptotes, we can examine the denominator of the function, which is (x^2 - 49). At x = -7 and x = 7, the denominator becomes zero, indicating vertical asymptotes at these values. As x gets closer to -7 or 7, the denominator approaches zero, causing the function to approach infinity or negative infinity depending on the signs of the numerator and denominator.

In this case, the numerator is -2x^2 + 14, which approaches negative infinity as x approaches -7 and approaches positive infinity as x approaches 7. Dividing this by a denominator that approaches zero leads to the described behavior of the graph at the vertical asymptotes.

Therefore, the correct statement is: as x → -7-, y → [infinity] and as x → -7+, y → -[infinity].

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Implications of an empty row in the roof portion of the house of quality Customer requirements are potentially not being met by the product.

The house of quality serves as a form of conceptual road map for interfunctional communication and planning. In order to discuss design goals, people with various issues and responsibilities can refer to evidence patterns on the grid of the home.

Quality function deployment is a set of planning and communication procedures that concentrates and organises capabilities inside an organisation in order to first create, then manufacture, and finally sell products that consumers want to buy and will continue to buy. The idea that items should be high-quality is the cornerstone of the house of quality.

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