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3 years ago

Which of the following is the most appropriate unit to describe the rate at which water flows over Niagara Falls?

1 answer:

7 0

<span>Billion gallons per day, because the independent quantity is volume of water in billion gallons and dependent quantity is time in days</span>

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Solve the equation A = bh for b. b = Ah b = A/h b = h/A b = h – A Solve the equation A = bh for b. b = Ah b = A/h b = h/A b = h

Leto [7]

Answer:

The answer is " $b=\frac{A}{h}$ ".

Step-by-step explanation:

Therefore in this question the "bh" were the multiplied and these values includes the variable which is solving by the isolating of "b".

Let's Divides the both sides for h.

$\to \frac{A}{h} = \frac{bh}{h}\\\\\to \frac{A}{h} = b\\\\\to b= \frac{A}{h}$

7 0

3 years ago

A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t

VLD [36.1K]

Answer:

6000 ft

Step-by-step explanation:

Let length of rectangular field=x

Breadth of rectangular field=y

Area of rectangular field= $1500000$ square ft

Area of rectangular field= $l\times b$

Area of rectangular field= $x\time y$

$1500000=xy$

$y=\frac{1500000}{x}$

Fencing used ,P(x)= $x+x+y+y+y=2x+3y$

Substitute the value of y

P(x)= $2x+3(\frac{1500000}{x})$

$P(x)=2x+\frac{4500000}{x}$

Differentiate w.r.t x

$P'(x)=2-\frac{4500000}{x^2}$

Using formula: $\frac{dx^n}{dx}=nx^{n-1}$

$P'(x)=0$

$2-\frac{4500000}{x^2}=0$

$\frac{4500000}{x^2}=2$

$x^2=\frac{4500000}{2}=2250000$

$x=\sqrt{2250000}=1500$

It is always positive because length is always positive.

Again differentiate w.r.t x

$P''(x)=\frac{9000000}{x^3}$

Substitute x=1500

$P''(1500)=\frac{9000000}{(1500)^3}>0$

Hence, fencing is minimum at x=1 500

Substitute x=1 500

$y=\frac{1500000}{1500}=1000$

Length of rectangular field=1500 ft

Breadth of rectangular field=1000 ft

Substitute the values

Shortest length of fence used= $2(1500)+3(1000)=6000 ft$

Hence, the shortest length of fence that the rancher can used=6000 ft

3 0

4 years ago

What is the square root of 2x equals 8

Fiesta28 [93]

2x = 8 ... therefore x = 4
4^2 = 16

8 0

3 years ago

What are the ranges of this relation?

ryzh [129]

Answer:

The range of a relation is the set of the second coordinates from the ordered pairs.

Step-by-step explanation:

The range of a relation from A to B is a subset of B. For Example: If A = {2, 4, 6, 8) B = {5, 7, 1, 9}. Let R be the relation 'is less than' from A to B.

3 0

3 years ago

What is the circumference of a circle when the diameter is 3

Jlenok [28]

Answer:

9.42 units (3 s.f.)

Step-by-step explanation:

Circumference of circle= 2πr

Radius

= diameter ÷2

= 3 ÷2

= 1.5

Circumference of circle

= 2(π)(1.5)

= 3π

= 9.42 units (3 s.f.)

7 0

3 years ago

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