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user100 [1]
3 years ago
14

A pump removes 1000 gal of water from a pool at a constant rate of 50 gal/min. which equation models the amount of water y in th

e pool after t minutes?
a) y=50t - 1000
b) y= 50t + 1000
c) y= -50t - 1000
d) y= -50t + 1000
Mathematics
1 answer:
Oksanka [162]3 years ago
3 0
<span>d) y= -50t + 1000 
You can re-arrange as 
The amount of water left in the pool Y = 1000 gal at the beginning minus 50 gal x number of minutes passed.  1000 - 50t (or -50t+1000)

</span>
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Step-by-step explanation:

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Find the volume of this sphere.<br> Use 3 for TT.<br> V<br> V [?]ft3<br> V = Tr3<br> 16ft
Vedmedyk [2.9K]

Answer:

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3 years ago
The number of withdrawals a bank processes in a day follows a random variable X. The number of deposits in a day is represented
Serhud [2]

Answer:

Check the explanation

Step-by-step explanation:

Number of transactions in a day is sum of number of withdrawals and number of deposits. So,

Number of transactions in a day, Z = X + Y

Moment Generating function of Z is,

T+1

Expected number of transactions in a day = E[Z]

= \frac{\mathrm{d} }{\mathrm{d} t}_{t=0}M_Z(t) = (r+1)\left ( \frac{p}{1-qe^t} \right )^{r} * \frac{-p}{(1-qe^t)^2} * (-qe^t)    for t = 0

= (r+1)\left ( \frac{p}{1-qe^0} \right )^{r} * \frac{-p}{(1-qe^0)^2} * (-qe^0)

= (r+1)\left ( \frac{p}{1-q} \right )^{r} * \frac{-p}{(1-q)^2} * (-q)

= (r+1)\left ( \frac{p}{p} \right )^{r} * \frac{-p}{(p)^2} * (-q)

= \frac{(r+1)q}{p}

4 0
4 years ago
A line through which two points would be parallel to a line with a slope of 3/4?
irga5000 [103]

Answer:

F. (0, 5) and (-4, 2)

Step-by-step explanation:

We need to calculate the slope of each of the given sets of points until we find the set associated with a slope of 3/4:

F. (0,5) and (-4,2)  As we go from (-4, 2) to (0,5), x increases by 4 and y increases by 3, so the slope is m = rise / run = 3/4.  This is the line with slope 3/4.

6 0
3 years ago
Katie went to a craft store to purchase the supplies she needed to make two types of jewelry, this table shows the costs of the
Pie

Answer:

cost of bracelet = 25*.05 +4*.45

cost of bracelets = 2(25*.05 +4*.45)

Step-by-step explanation:

One bracelet

Supplies needed:

25 beads and 4 charms

Each bead costs .05 and each charm costs .45

Cost of bracelet = number of beads * cost per bead + number of charms * cost per charm

cost of bracelet = 25*.05 +4*.45

cost of bracelet = 1.2 +1.8

                            =3.00


To make 2 bracelets

Cost of bracelets =2*( number of beads * cost per bead + number of charms * cost per charm)

cost of bracelets =2*( 25*.05 +4*.45)

cost of bracelets=2( 1.2 +1.8)

cost of bracelets = 2*3

cost of bracelets = 6

7 0
3 years ago
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