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4 years ago

What number is half-way between thirteen and thirty-one

Mathematics

1 answer:

mars1129 [50]4 years ago

3 0

$\frac{13 + 31}{2} = \frac{44}{2} = 21$

Answer: 21

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If a cannonball is shot directly upward with a velocity of 160 ft per second, its height above the ground after t seconds is gi

Contact [7]

Step-by-step explanation:

If a cannonball is shot directly upward with a velocity of 160 ft per second. Its height as a function of time is given by :

$h(t)=160t-16t^2$ .......(1)

t is in seconds

(a) Velocity is given by :

$v=\dfrac{dh}{dt}\\\\v=\dfrac{d(160t-16t^2)}{dt}\\\\v=(160-32t)\ ft/s$

Acceleration is given by :

$a=\dfrac{dv}{dt}\\\\a=\dfrac{d(160-32t)}{dt}\\\\a=-32\ ft/s^2$

(b) For maximum height put $\dfrac{dh}{dt}=0$

i.e.

$160-32t=0\\\\t=5\ s$

Put t = 5 s in equation (1). So,

$h(5)=160t-16t^2\\\\h(5)=160(5)-16(5)^2\\\\h(5)=400\ ft$

h(t) = 0

$160t-16t^2=0\\\\t(160-16t)=0\\\\t=0,t=10\ s$

Hence, this is the required solution.

4 0

3 years ago

Are the decimals 0.4 and 0.40 equal?

zepelin [54]

0.4 and 0.40 are equal. That zero on the hundredths place does not matter.

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3 years ago

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I need help with 23-26

Furkat [3]

26 subtracted from 23 would get you -3

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3 years ago

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Find the Pythagorean Triple (a,b,c) using the terms (x²-1, 2x, x²+1) for x > 0 when x =7.

yanalaym [24]

1) 7^2-1=48
2x7=14
7^2+1=50
=(48,14,50)
2)10^2-6^2=64
2x10x6=120
10^2+6^2=136
=(64,120,136)

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3 years ago

Please help me !!!!!!

-BARSIC- [3]

1-make the demonitores the same

2-remove digits next to (x)
3-solve manually

Step-by-step explanation:

use microsoft maths

7 0

2 years ago