3 years ago

Here are several function rules. Calculate the output for

Mathematics

1 answer:

kherson [118]3 years ago

6 0

Answer: 6

Step-by-step explanation:

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The value of y varies directly with x. When y=75,x=1/2. What is the value of y when x is 3 3/4?

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Honestly not sure at all

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3 years ago

Find the volume of a sphere with the given dimensions. radius is 4cm

krek1111 [17]

Answer:

268.08

Step-by-step explanation:

V=4

3πr3=4

3·π·43≈268.08257

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3 years ago

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oee [108]

Answer:

21+3=24, 24+8=32

Step-by-step explanation:

32 is the answer

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3 years ago

A car travelling along a horizontal road accelerates from rest to a speed of 120km/h in T seconds, covering a distance of 88 8/9

scoray [572]

Answer:

a = 6.25 m/s²

T = 5⅓ seconds

Step-by-step explanation:

a = (v - u)/t

v = 120×1000/3600 = 100/3

a = 100/3t

v² = u² + 2as

(100/3)² = 2(100/3t)(88 8/9)

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3 years ago

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Olin [163]

Use the fundamental trigonometric equation

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To rewrite the equation as

$1-\cos^2(x) = 1-\cos(x)$

Subtract 1 from both sides:

$-\cos^2(x) = -\cos(x)$

Add $\cos^2(x)$ to both sides:

$\cos^2(x) - \cos(x) = 0 \iff \cos(x)\left(\cos(x)-1\right)=0$

A multipication is zero if and only if one of the factors is zero. So, the solutions are given by

$\cos(x)=0 \iff x=\dfrac{\pi}{2}+k\pi,\quad k \in \mathbb{Z}$

$\cos(x)-1=0 \iff \cos(x)=1 \iff x=2k\pi,\quad k \in \mathbb{Z}$

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4 years ago