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Rashid [163]
2 years ago
15

Find the amplitude of y = -4 sin x.

Mathematics
1 answer:
lyudmila [28]2 years ago
6 0
Answer:
4
Explanation:
The amplitude of a sine function is the absolute value of the coefficient of sin(in other words, the absolute value of the number multiplying the sin)
In this case, that is |-4|=4
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if a ball is thrown into the air with a velocity of 40 ft s its height in feet after t seconds is given by s(t)=40t-16t2 find th
dalvyx [7]

Answer with Step-by-step explanation:

We are given that a ball is thrown into the air with velocity

v=40ft/s

Height  after t seconds is given by

s(t)=40t-16t^2

We have to find the average velocity for the ball during the time [1,2].

We know that average velocity=\frac{ds}{dt}

Average velocity=v=\frac{d(40t-16t^2)}{dt}=40-32t

Substitute t=1 then we get

Average velocity=40-32(1)=40-32=8 m/s

Substitute t=2 then

Average velocity=40-32(2)=40-64

Average velocity[/tex]=-24 m/s[/tex]

4 0
3 years ago
Identify the roots of the quadratic equation.<br><img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%5E%7B2%7D%20%20-%205x%2
riadik2000 [5.3K]

Answer:

please re ask

Step-by-step explanation:

the question is not valid please re ask in a simplified form

8 0
3 years ago
What are some easy ways to find the value of<br> (2017^4−2016^4)/(2017^2+2016^2) without calculator
scoray [572]

Answer:

4033

Step-by-step explanation:

An easy way to solve this problem is to notice the numerator, 2017^4-2016^4 resembles the special product a^2 - b^2. In this case, 2017^4 is a^2 and 2016^4 is b^2. We can set up equations to solve for a and b:

a^2 = 2017^4

a = 2017^2

b^2 = 2016^4

b = 2016^2

Now, the special product a^2 - b^2 factors to (a + b)(a - b), so we can substitute that for the numerator:

<h3>\frac{(2017^2+2016^2)(2017^2 - 2016^2)}{2017^2+2016^2}</h3>

We can notice that both the numerator and denominator contain 2017^2 + 2016^2, so we can divide by \frac{2017^2+2016^2}{2017^2+2016^2} which is just one, and will simplify the fraction to just:

2017^2 - 2016^2

This again is just the special product a^2 - b^2, but in this case a is 2017 and b is 2016. Using this we can factor it:

(2017 + 2016)(2017 - 2016)

And, without using a calculator, this is easy to simplify:

(4033)(1)

4033

8 0
2 years ago
If f(x) = -3x^{2} + 1 then what is the value of f(-2)
Charra [1.4K]

Answer:

37

Step-by-step explanation:

-3x^{2} + 1

replace (x) with (-2)

-3(-2)^{2} + 1

6^2 +1=36+1

=37

7 0
3 years ago
Cally made a rectangular sandbox. It is 8 feet long and 10 feet
Mnenie [13.5K]

Answer:

160 pounds of sand.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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