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3 years ago

7%of what length is 200 feet?

Mathematics

2 answers:

Aneli [31]3 years ago

8 0

Step-by-step explanation:

Let the length be x

7% of x = 200ft

7/100 × x = 200

7x/100 = 200

7x = 200 × 100

7x = 20000

x = 20000/7

x = 2,857.14

andrew11 [14]3 years ago

3 0

Step-by-step explanation:

Basically, the question is asking what number multiplied by 0.07 is equal to 200?

2857.14286 ft (round as necessary)

the way you can do this:

x(0.07)=200

isolate x by dividing 200 by 0.07 (200/0.07=2857.14286 ft)

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Xy′ = √(1 − y2 ), y(1) = 0

tigry1 [53]

Answer:

y=sin(ln(x))

Step-by-step explanation:

First, we have to order the terms as follows and express y' as dy / dx:

$x*\frac{dy}{dx} =\sqrt{(1-y^{2} )} \\\frac{x}{dx}=\frac{dy}\sqrt{(1-y^{2} )}}\\\frac{dx}{x}=\frac{dy}{\sqrt{(1-y^{2} )} }$

Then, we have to integrate

$\int{\frac{dx}{x}=\int{\frac{dy}{\sqrt{(1-y^{2} )} }$

with this solution after integration:

$ln(x)+C1=arcsin(y)+C2$

Then, we have to reorder

$arcsin(y)=ln(x)+C$

and applied Sin function on both sides

$sin(arcsin(y))=sin(ln(x)+C)\\y=sin(ln(x)+C)$

To define the value of C, we use the known point y(1)=0 and replace in the equation

$y=sin(ln(x)+C)\\0=sin(ln(1)+C)\\0=sin(0+C)\\0=sin(C)\\C=arcsin(0)\\C=0$

The function that proves that differential equation is

$y=sin(ln(x))$

6 0

3 years ago

What is the exact value of tangent (negative StartFraction pi Over 3 EndFraction)?

salantis [7]

Answer:

tg (-60°) = -√3

Step-by-step explanation:

We can solve this, using a calculator, but I would like you to understand this problem without the use of that.

This is trigonometry, so first we need to know the value of pi in trigonometry.

The value of π is equals to 3.14 but in this case, we need to take the value of π in degrees. This value is 180°.

Now, the following step is replace this value into the expression:

tg (-180/3) = tg (-60°)

So the actual value we are looking for is tangent of 60°. Tangent can be calculated using the expression with the sin and cosine so:

tg = sin/cos

so to get the value of tg 60°:

tg 60° = sin 60° / cos 60°

The value of sin 60° = √3/2, while the value of cos 60° = 1/2, so replacing both values above, we can get the value of tg 60°:

tg 60° = (√3/2) / (1/2) both 2 gets cancel out so:

tg 60° = √3 / 1

tg 60° = √3

As we want tg(-60) the real value would be:

tg (-60°) = -√3

So the answer would be option 1.

3 0

3 years ago

Read 2 more answers

What is the range of function g? g(x) = sqrt(x - 1) + 2

BabaBlast [244]

Answer:

Answer OA. y >2

Step-by-step explanation:

I took the quiz on k12

8 0

3 years ago

Its accounting please help me

Elanso [62]

9514 1404 393

Answer:

1a: $84; 1b: 30,000A +15,000B; 1c: 37,000A +18,500B

2: 4,000 composite units

Step-by-step explanation:

We assume your "composite unit" consists of the smallest set of units in the ratio in which they are sold.

A "composite unit" is 1B +2A. The contribution margins are the difference between the selling price and the variable cost per unit:

A: 72 -40 = 32

B: 48 -28 = 20

composite unit: 2A+B = 2(32) +20 = 84

(a) The contribution margin per composite unit is $84.

(b) The break-even point is the number of composite units that have a total contribution margin equal to the total fixed costs:

84n = 1260000

n = 1260000/84 = 15000

30,000 units of A and 15,000 units of B must be sold to break even.

294,000/84 = 3500

37,000 units of A and 18,500 units of B must be sold for a pretax income of $294,000.

Contribution margins per unit are ...

H: 6 -4 = 2

C: 8 -6 = 2

I: 10 -7 = 3

A composite unit is 3H +2C +I, so the contribution margin per composite unit is ...

3(2) +2(2) +1(3) = 6 +4 +3 = 13 . . . dollars

The break-even point is 52,000/13 = 4,000 composite units

4 0

3 years ago

Question 2 Multiple Choice Worth 5 points)

Harman [31]

Answer:

They do not form non-living things

They are formed when atoms of different elements combine.

Step-by-step explanation:

They do not form non-living things.

True because they form living things/organisms.

They are formed when atoms of different elements combine.

True.

For example:

CO₂

From this compound, they contain elements, one carbon element with 2 oxygen element.

8 0

3 years ago