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3 years ago

Consider the equation below. (if an answer does not exist, enter dne.) f(x) = 5 cos2(x) − 10 sin(x), 0 ≤ x ≤ 2π

Mathematics

1 answer:

jolli1 [7]3 years ago

4 0

The given equation is a wave function. When plotted, the graph is shown in the attached picture. However, the unit is in degrees instead of radians. A unit of π is equivalent to 180°. This plot could determine one variable if the other is given.

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A rectangle with an area of 120 in 2 has a length 8 inches longer than two times its width. What is the width of the rectangle?

nlexa [21]

width = x

length = 2x+8

area = l x w

x(2x+8)=120

2x^2+8x−120=0

x^2+4−60=0

(x+10)(x−6)=0

x=−10 and x=6

width has to be a positive number

Width = 6 inches.

5 0

3 years ago

5x = 1/125 What is X

Solnce55 [7]

Answer:

x= 1/25

Step-by-step explanation:

8 0

3 years ago

1) A projectile is thrown upward so that its distance above the ground after t seconds is

leonid [27]

Answer:

After 22 seconds the projectile reach its maximum height of 4,840 units

Step-by-step explanation:

we have

$h(t)=-10t^{2}+440t$

This is a vertical parabola downward (because the leading coefficient is negative)

The vertex is a maximum

Find out the coordinates of the vertex

Convert the quadratic equation in vertex form

Factor -10

$h(t)=-10(t^{2}-44t)$

Complete the square

$h(t)=-10(t^{2}-44t+22^2)+(10)(22^2)$

$h(t)=-10(t^{2}-44t+22^2)+4,840$

Rewrite as perfect squares

$h(t)=-10(t-22)^{2}+4,840$

The vertex is the point (22,4,840)

therefore

After 22 seconds the projectile reach its maximum height of 4,840 units

4 0

3 years ago

15 points Which graph represents the function g(x) = |x+4|+2?

rewona [7]

Answer:

number 3

Step-by-step explanation:

7 0

3 years ago

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Melinda spend $14.25 on school supplies Dr spend $2.30 more than Melinda

zloy xaker [14]

14.25+2.30=16.55 so, dr spent $16.55 on school supplies

3 0

3 years ago

Read 2 more answers