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4 years ago

4w+6x+15y+4w+6x-7y

Mathematics

1 answer:

Natasha2012 [34]4 years ago

3 0

1) 8w + 12x - 8y
2) 9w + 12x - 8y
3) 8w + 12x - 8y
4) 8w + 12x - 8y
3 of them are equal (1, 3, and 4)
Hope this helps!

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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

If QR = 9 and ST = 13 calculate LM.

pickupchik [31]

Answer:

$\boxed{\sf LM = 11}$

Step-by-step explanation:

According to trapezoid mid-segment theorem:

$LM = \frac{QR+ST}{2}\\ Given \ that\ QR = 9, ST = 13$

$\sf LM = \frac{9+13}{2}$

LM = 22/2

LM = 11

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4 years ago

What is the area of the trapezoid?

Ostrovityanka [42]

I hope this helps you

6 0

4 years ago

How much sparkling water would you need to make 100 quarts of sparkling grape juice? (Recipe for sparkling grape juice calls for

kakasveta [241]

Answer:

66.6666

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A 2.5-meter piece of framing lumber has been used to cut a piece 1.65 meters long. How much of the original piece of lumber re

mrs_skeptik [129]

Answer:

0.85 of the original piece of lumber remains.

Step-by-step explanation:

Well, this lumber piece of lumber started as 2.5 meters long. Then, a 1.65 meter piece was cut off of it. All we need to do is subtract.

2.5 - 1.65 =

2.50 - 1.65 = 0.85.

Therefore, 0.85 of the original piece of lumber remains.

Hope this helps! :)

7 0

3 years ago