Given the formula below, solve for x. y - y1 = m(x-x1)

Answers

Answer 1
Answer:

Answer:

y-3 = 2/9 (x-8)

Step-by-step explanation:


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All eight companies in the aerospace industry were surveyed as to their return on investment last year. The results are in percent) 10.6, 12.6, 14.8, 18.2, 12.0, 14.8, 12.2, and 15.6. a. Calculate the range. (Round your answer to 1 decimal place.) Range %
b. Calculate the arithmetic mean. (Round your answer decimal places.)
c. Calculate the variance. (Round your answer to 2 decimal places.)

Answers

Answer:

a.) range- 6.2

b.) arithmetic mean- 13.85

c.) varience- 0.69

2. Polygon KLMN is similar to polygon PQRS. What is the length of QR?A. 16 m
B. 9 cm
C. 8 cm
D. 6 cm

Answers

Answer:

Is letter D. X=6.

Step-by-step explanation:

3/4.5= 4/QR

18/3=6

Answer:I think it c

Step-by-step explanation:

The students at Midtown Middle school sold flowers as a fundraiser in September and October. In October, they charged $1.50 for each flower. The October price was a 20% increase of the September price. Part A: What was the price of the flowers in September? Part B: The seventh-grade class earned 40% of the selling price of each flower. In September, they sold 900 flowers. In October, they sold 700 flowers. Did they earn more money in September or October? How much more?

Answers

Let the price of flowers in September be x, then (100 + 20)/100 * x = $1.50
120/100 * x = $1.50
1.2x = $1.50
x = $1.50/1.2 = $1.25
The price of flowers in September is $1.25

Total money realised in September = $1.25 x 900 = $1,125
40% earned = 0.4 x $1,125 = $450

Total money realised in October = $1.50 x 700 = $1,050
40% earned = 0.4 x $1,050 = $420

The class earned more money in September and they earned $30 more than in October.

. A field will be made in the shape of a rectangle with an area of 400 square meters. One side of the field is along a river and a fence will be built along the other three sides. A brick wall perpendicular to the river will be built to divide the field into two equal halves. the wall costs $20 per meter and the fence costs $10 per meter to build. what is the lowest possible cost to build such a field?

Answers

Answer:

The correct answer is $800.

Step-by-step explanation:

Let the length and width of the field be equal to l meters and b meters respectively and l > b.

Area of the field is given by l × b = 400 square meters.

The river is supposed to be along the longest side so that the price of fencing the other three sides is minimum. Thus the total perimeter of the fence is b+ b+ l = 2b+l.

Total cost for fencing the other sides of the field = $ 10 × (2b + l)

The wall is supposed to be perpendicular to the river and thus the length of the wall is b meters.

Total cost for the wall is $ 20 × b

Therefore, the total price for making the field is given by

C = 10 × (2b + l) + 20 × b

⇒ C = 40b + 10l

⇒ C = (16000)/(l) + 10l

To minimize the cost we differentiate the cost with respect to l and equate it to zero.

(dC)/(dl) = 0 = - (16000)/(l^(2)) + 10

l^(2) = 1600

l = 40 ; [ negative sign neglected as length cannot be negative ]

b = 10

The second order derivative of C is positive giving the minimum value of the cost.

Thus the minimum cost required to make the field is given by $800.

Final answer:

To find the lowest possible cost to build the field, we need to determine the dimensions that will yield the minimum perimeter and then calculate the total cost of building the field. By differentiating the cost equation and solving for x, we can find the dimensions that minimize the cost.

Explanation:

To find the lowest possible cost to build the field, we need to determine the dimensions that will yield the minimum perimeter. Since the area of the field is 400 square meters and it will be divided into two equal halves by a brick wall, each half will have an area of 200 square meters. Let's say the length of the field is x meters. Then the width of each half will be 200/x meters.

The perimeter of the field is the sum of the lengths of the three sides:

Perimeter = 2x + 200/x + 200/x

Now, we can define the total cost to build the field as:

Total Cost = Cost of wall + Cost of fence

Cost of wall = 2x * $20 (since there are two halves)

Cost of fence = (2x + 200/x + 200/x) * $10 (since there is a fence on three sides)

Therefore, the total cost is: Total Cost = 2x * $20 + (2x + 200/x + 200/x) * $10.

To minimize the cost, we can differentiate the total cost with respect to x and set it equal to zero:

d(Total Cost)/dx = 0

Simplifying this equation will give us the value of x that minimizes the cost. We can solve this equation to find the minimum cost to build the field.

Learn more about field here:

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A woman 38 years old has a daughter 14 years old. How many years ago was the woman 8 times older than the daughter?

Answers

Answer:

112 years ago

Step-by-step explanation:

38 => 14 yrs

DIfference: 24 yrs

n=8(14)

n=112

Therefore, 112 years ago

A 3 ft by 5 ft wooden board has three equally sized circles cut out of it. A penny will be randomly tossed onto the board. What is the probability the penny will fall through any of the holes?

Answers

Answer:

Pr = 15.71% ≈ 16%

Step-by-step explanation:

Let's begin by listing out the data given unto us, we have:

Length of board = 3 ft, Width of board = 5 ft,

Area of board = Length * Width = 3 * 5 = 15 ft²,

Diameter of each circle (d) = 1 ft; r = d ÷ 2

⇒ r = 1 ÷ 2 = 0.5 ft

Area of each circle = πr² = π * 0.5² = 0.785 ft²

Area of the three circles = 3πr² = 2.356 ft²

Probability = favourable outcome ÷ Total outcome

Probability of the penny falling into the hole = area of the three circles ÷ area of board

Pr = 2.356 ÷ 15 = 0.1571

Converting to percentage, we multiply by 100

Pr = 0.1571 * 100

Pr = 15.71% ≈ 16%

Therefore, the probability of the penny falling into the hole is 15.71% ≈ 16%