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3 years ago

8

Pipe leaking 1.5 cups per day how many gallons per week

1 answer:

DochEvi [55]3 years ago

3 0

Define what conversion between cup and gallon is?

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(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos2x

Aliun [14]

As

$\tan x=\dfrac{\sin x}{\cos x}$
$\cot x=\dfrac{\cos x}{\sin x}$

we have

$\sin x(\tan x\cos x-\cot x\cos x)=\sin x\left(\sin x-\dfrac{\cos^2x}{\sin x}\right)=\sin^2x-\cos^2x$

Recalling that $\cos2x=\cos^2x-\sin^2x$ , we end up with

$-\cos2x=1-2\cos2x$
$1=\cos2x$
$\implies2x=2n\pi$

(where $n$ is any integer)

$\implies x=n\pi$

5 0

3 years ago

Synthetic division!! Please help!!!<br> Fast!!

tatyana61 [14]

See that remainder in the lower, right hand corner of this array? It's 2. That is the value of f(-2).

3 0

3 years ago

Joe borrowed $8,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 5 years?

belka [17]

Joe would be paying $700 in 5 years time.

Explanation:

($2,000)(0.07/year)(5 years)
= ($2,000)(0.07)(5)
= $700

8 0

3 years ago

Read 2 more answers

10 is 40% of what number

Law Incorporation [45]

25 is the 40% of 10.

6 0

3 years ago

Read 2 more answers

I just need to find out the last question that is in red. I don't know how to find the year when the median house values will be

Ganezh [65]

Answer:

1924.3

Step-by-step explanation:

Ok

You need to write an expression for the change in value

the change is linear, so you will get a line equation y = mx + b

y-axys : value

x-axys : years

New Hampshire:

Slope = $\frac{133300-37600}{2000-1950} = 1914$

the y-intercept will be 37600 because you can assume that 1950 = 0, and 2000 = 50

y = 1914*x + 37600

Massachussets:

Slope = $\frac{185700-55400}{2000-1950} = 2606$

Same as above, the y-intercept is 55400

y = 2606*x + 55400

Now you need to equal the value for both and find the year "x"

1914x + 37600 = 2606x + 55400

- 692x = 17800

x = -25.7

Since i considered x = 0 to be 1950; the actual year is 1950 - 25.7 = 1924.3

5 0

3 years ago