Let F(x) = 3x + 5 and g(x) = x^2

Pls help meeeee :))))

valentinak56 [21]

Answer:

31.4 inches

Step-by-step explanation:

:))

6 0

3 years ago

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Suppose M is the midpoint of FG. Find the missing measure.

Arlecino [84]

A midpoint divides a line segment into equal halves.

The value of x is 3.4

Given that:

$FG = 11x - 15.6$

$MG = 10.9$

Since M is the midpoint, then:

$FG = 2 \times MG$

So, we have:

$11x - 15.6 =2 \times 10.9$

$11x - 15.6 =21.8$

Collect like terms

$11x =15.6 +21.8$

$11x =37.4$

Solve for x

$x =3.4$

Hence, the value of x is 3.4

Read more about midpoints at:

brainly.com/question/2441957

7 0

3 years ago

a professional baseball game of lacrosse has 60 mintues of playing time.It is spit into 4 equal period of time.How many mintues

Anettt [7]

15 minutes in each period, b/c 60/4 = 15.

6 0

3 years ago

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A tank initially has 300 gallons of a solution that contains 50 lb. of dissolved salt. A brine solution with a concentration of

belka [17]

Let s(t) be the amount of salt in the tank at time t. Then s(0) = 50 lb.

Salt flows into the tank at a rate of

(2 gal/min) (6 lb/gal) = 12 lb/min

and flows out at a rate of

(2 gal/min) (s(t)/300 lb/gal) = s(t)/150 lb/min

so that the net rate at which salt is exchanged through the tank is

ds(t)/dt = 12 - s(t)/150 … (lb/min)

Solve for s(t). The DE is separable, so we have

ds/dt = 12 - s/150

150 ds/dt = 1800 - s

150/(1800 - s) ds = dt

Integrate both sides to get

-150 ln|1800 - s| = t + C

Solve for s :

ln|1800 - s| = -t/150 + C

1800 - s = exp(-t/150 + C )

1800 - s = C exp(-t/150)

s = 1800 - C exp(-t/150)

Now given that s(0) = 50, we solve for C :

50 = 1800 - C exp(-0/150)

50 = 1800 - C

C = 1750

Then the amount of salt in the tank at any time t ≥ 0 is

s(t) = 1800 - 1750 exp(-t/150)

To find the time it takes for the tank to hold 100 lb of salt, solve for t in

100 = 1800 - 1750 exp(-t/150)

1700 = 1750 exp(-t/150)

34/35 = exp(-t/150)

ln(34/35) = -t/150

t = -150 ln(34/35) ≈ 4.348

So it would take approximately 4.348 minutes.

By the way, we didn't have to solve for s(t), we could have instead stopped with

-150 ln|1800 - s| = t + C

Solve for C - this C is not the same as the one we found using the other method. s(0) = 50, so

-150 ln|1800 - 50| = 0 + C

C = -150 ln|1750|

==> t = 150 ln(1750) - 150 ln|1800 - s|

Then s(t) = 100 lb when

t = 150 ln(1750) - 150 ln(1700)

t = 150 ln(1750/1700)

t = 150 ln(35/34)

t ≈ 4.348

5 0

3 years ago

Which of these values cannot represent the probability of an event happening?

ololo11 [35]

Answer:

D.

Step-by-step explanation:

The last option, 1.2, cannot represent the probability of an event happening since it is more than 100% (120%). And event cannot have a higher probability of happening than "happening".

A. 0.33 is a valid response, since it represents 33%.

B. 56% is also a valid response.

C. 7/8 is also a valid response since it represents 0,875 or 87,5%.

Hope it helped,

BiologiaMagister

6 0

3 years ago

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