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2 years ago

3 quartz of a solution that is 22% antifreeze is how much

Mathematics

1 answer:

4vir4ik [10]2 years ago

3 0

Answer:

one face of a rectangular boxer

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23) A ball is launched into the air. The function h=-16 +126 gives the height of the

Paul [167]

The equation is missing 't' terms. The correct equation is:

$h=-16t^2+126t$

Answer:

(a) 248.06 ft

(b) 7.875 s

Step-by-step explanation:

Given:

Height of ball in air above ground is given as:

$h=-16t^2+126t$

(a)

At maximum height, the speed of the ball is 0 momentarily. Speed is nothing but rate of change of height which is the first derivative of height with time. Therefore,

At maximum height:

Speed = 0

$h'=0\\-16(2t)+126=0\\-32t+126=0\\32t=126\\t=\frac{126}{32}=3.9375\ s$

Now, maximum height is obtained by plugging in $t=3.9375$ . Thus,

$h_{max}=-16(3.9375)^2+126(3.9375)\\h_{max}=-248.0625+496.125=248.0625\ ft$

Therefore, the maximum height of the ball is 248.06 ft. (Rounded to nearest hundredth)

(b)

Now, total time of travel of the ball is the sum of time taken to reach maximum height and the time taken from maximum height to the bottom.

Also, time taken for upward journey would be same as that of downward journey. Therefore, total time taken is twice that of the upward journey.

We have,

Time to reach maximum height, $t = 3.9375\ s$

Therefore, total time the ball was in air = $2(t)=2\times 3.9375=7.875\ s$

Hence, the ball was in the air for 7.88 s. (Rounded to nearest hundredth)

3 0

3 years ago

Suppose the population of a town is 9,800 and is growing 2% each year. a. Write an equation to model the population growth. b. P

tiny-mole [99]

Answer:

The correct option is A.

Step-by-step explanation:

The general exponential growth model is defined as

$f(x)=a(1+r)^x$

Where, a is initial value, r is growth rate and x is time.

The initial population of town is 9800 and growth rate is 2%. The population growth model is defined as

$f(x)=9800(1+\frac{2}{100})^x$

$f(x)=9800(1+0.02)^x$

$f(x)=9800(1.02)^x$

Put x=7 to find the estimated population after 7 years.

$f(x)=9800(1.02)^7$

$f(x)=11257.119543\approx 11257$

Therefore the correct option is A.

8 0

3 years ago

If EF = 8x + 16, FG = 60, and eg = 156, find the value of x

zubka84 [21]

Answer:

Step-by-step explanation:

8x+16+60=156

8x+76=156

8x=80

x=10

4 0

2 years ago

The customers of Rhythm Time, an online music service, downloaded 78,588 songs this year. That number is 40% lower than last yea

Ivan

Answer:

196470

Step-by-step explanation:

i did the math

4 0

3 years ago

Round to the nearest thousandth, Height 8 cm and radius 2cm

Vesna [10]

Answer:

125.660 cm^2

Step-by-step explanation:

Surface area of a right cylinder is A=2πrh+2πr^2

π= 3.14

h= 8 cm

r= 2 cm

A=(2)(3.14)(2)(8) + (2)(3.14)(2)^2

8 0

3 years ago