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3 years ago

12

A tank can be filled by one pump in 50 minutes and by another pump in 60 minutes. A third pump can drain the tank in 75 minutes.

If all 3 pumps go into operation, how long will it take to fill the tank? help pls

1 answer:

Lubov Fominskaja [6]3 years ago

3 0

It sure take a hours to pump in the tank

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What is f(g(x)) if f(x)= 4x²+3x-4 and g(x)=2x

Yuri [45]

I don’t know sorry I just need the points

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2 years ago

At the beginning of year 1, Bode invests $250 at an annual simple interest rate of 3%. He makes no deposits to or withdrawals fr

xz_007 [3.2K]

Answer:

D.A(n) = 250 + (n – 1)(0.03 • 250); $347.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=(14-1)=13\ years\\ P=\$250\\r=0.03$

substitute in the formula above

$A=\$250(1+0.03*13)$

$A=\$250(1.39)=\$347.50$

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3 years ago

Evalue 3a -4b for a =a and b=6

katrin2010 [14]

Answer:

3a-4b

3a-4(6)

3a-24

Step-by-step explanation:

8 0

3 years ago

Angles A and B are located in the first quadrant such that sinA= 7/25 and cosB = 5/13. Determine the exact value for cos (A-B).

fomenos

Answer:

204/325

Step-by-step explanation:

You can work this a couple of ways. We expect you are probably expected to use trig identities.

cos(A) = √(1 -sin²(A)) = 24/25

sin(B) = √(1 -cos²(B)) = 12/13

cos(A -B) = cos(A)cos(B) +sin(A)sin(B) = (24/25)(5/13) +(7/25)(12/13)

= (24·5 +7·12)/325

cos(A -B) = 204/325

__

The other way to work this is using inverse trig functions. It is necessary to carry the full calculator precision if you want an exact answer.

cos(A -B) = cos(arcsin(7/25) -arccos(5/13)) = cos(16.2602° -67.3801°)

= cos(-51.1199°) ≈ 0.62769230 . . . . (last 6 digits repeating)

The denominators of 25 and 13 suggest that the desired fraction will have a denominator of 25·13 = 325, so we can multiply this value by 325 to see what we get.

325·cos(A-B) = 204

so, the exact value is ...

cos(A -B) = 204/325

8 0

2 years ago

A coordinate plane with a line passing through (0, negative 4) and (2, 0). What is the equation of the graphed line written in s

Hoochie [10]

Answer:

<em>d) The equation of the line passing through the points </em>

$y = \frac{-x}{2} - 4$

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given points are ( 0, -4) and (2 ,0)

slope of the line

$m = \frac{y_{2}- y_{1} }{x_{2}- x_{1} } = \frac{2-0}{0-4} = \frac{-2}{4}= \frac{-1}{2}$

<u><em>Step(ii):</em></u>-

The equation of the line passing through the point ( 0,-4) and having slope

$m = \frac{-1}{2}$

$y - y_{1} = m ( x - x_{1} )$

$y - (-4) = \frac{-1}{2} ( x - 0 )$

2 ( y +4) = -x

2 y + 8 = -x

2 y = - x - 8

$y = \frac{-x}{2} - \frac{8}{2}$

$y = \frac{-x}{2} - 4$

<u><em>Final answer:-</em></u>

<em>The equation of the line passing through the points </em>

$y = \frac{-x}{2} - 4$

<em></em>

<em></em>

5 0

3 years ago

Read 2 more answers