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3 years ago

If y varies directly as x, and y=14 when x=3.5 find y when x=2

Mathematics

1 answer:

quester [9]3 years ago

5 0

y varies directly as x

y ∞ x

y=14 when x=3.5

y = kx

k is a constant, when multiplied by x, you get y

14 = 3.5k

Solve to find k:

14/3.5 = k

14/3.5 = 4

k = 4

y = 4x

Find y when x=2

y = 4x

y = 4(2)

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A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric

otez555 [7]

Answer:

dimension are 350 m and 350 m and

area is 122500 m²

Step-by-step explanation:

Given data

perimeter is 700 m

to find out

the largest area and its dimensions

solution

we consider x and y are the sides

so area is xy

perimeter is 2x+ y = 700

so we can say y = 700 -2x

so area will be = x (700 - 2x)

area = 700x - 2x²

we take derivative here and equal to zero

dA/dt = 700x - 2x²

700 - 4x = 0

x = 700/4

x = 175

so will be

y = 700 -2x

y = 700 -2(175)

y = 350

so dimension are 350 m and 350m

area is 122500 m²

3 0

3 years ago

The lifetimes of 10,000 watch batteries are normally distributed the mean lifetime is 500 days the standard deviation is 60 days

Lelu [443]

Given:
μ = 500 days, the population mean
σ = 60 days, the population standard deviation

Therefore
μ + σ = 560
μ - σ = 440
μ + 2σ = 620
μ - 2σ = 380
μ + 3σ = 680
μ - 3σ = 320

The figure shown below illustrates the normal distribution
About 68% of the total area lies in x = (μ-σ, μ+σ)
About 95% of the total area lies in x = (μ-2σ, μ+2σ)
About 99.7% of the total area lies in x = (μ-3σ, μ+3σ).

7 0

4 years ago

A cylindrical can of soup has a height of 4 inches and a radius of 2 inches. What is the volume of the can? Round to the nearest

nordsb [41]

Answer:

50.29 cubic inches.

Step-by-step explanation:

Volume = 50.28571428571424

5 0

3 years ago

Read 2 more answers

1: 18 is __ % of 30

Zigmanuir [339]

Answer:

1. 60%

2. 70

3. 8%

Step-by-step explanation:

I attached pictures to show my work (sorry if they’re a bit messy)!

4 0

2 years ago

Simplify the expression (8x^3y^2/4a^2b^4)^-2

icang [17]

Simplify the following:
((8 x^3 y^2 a^2 b^4)/4)^(-2)
8/4 = (4×2)/4 = 2:
(2 x^3 y^2 a^2 b^4)^(-2)
Multiply each exponent in 2 x^3 y^2 a^2 b^4 by -2:
(x^(-2×3) y^(-2×2) a^(-2×2) b^(-2×4))/(2^2)
-2×3 = -6:
(x^(-6) y^(-2×2) a^(-2×2) b^(-2×4))/2^2
-2×2 = -4:
(y^(-4) a^(-2×2) b^(-2×4))/(2^2 x^6)
-2×2 = -4:
(a^(-4) b^(-2×4))/(2^2 x^6 y^4)
-2×4 = -8:
b^(-8)/(2^2 x^6 y^4 a^4)
2^2 = 4:
Answer: 1/(4 x^6 y^4 a^4 b^8) thus the answer is A

3 0

3 years ago