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Nadya [2.5K]
3 years ago
15

The student population at a middle school in June, 2020 was 1678. In September, 2021, the student population was 1463. What is t

he percent of change
Mathematics
1 answer:
HACTEHA [7]3 years ago
6 0

Answer: -12.81% decrease

Step-by-step explanation:

1678-1463/1463 * 100 = -12.8128

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Solve for x.<br> -15x + 60 ≤ 105 AND 14x + 11 ≤ -31
givi [52]

Answer:

  1. x ≥ -3
  2. x ≥ -3

Step-by-step explanation:

-15x + 60 ≤ 105

-15x ≤ 45

x ≥ -3

14x + 11 ≤ -31

14x ≤ -42

x ≥ -3

Best of Luck!

7 0
3 years ago
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What is the value of the underlined digit? 5,678.321. The underlined digit is 1.
valkas [14]
0.001

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4 0
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3 years ago
Is 9.707 greater than 9.717
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8 0
3 years ago
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

(c) When the ball reaches ground, its height is equal to 0. So,

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
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