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3 years ago

What is the amplitude of this function f(x) ? f(x)=34cos(3x)+4

Mathematics

1 answer:

jeyben [28]3 years ago

3 0

Answer:

The amplitude is 34. So therefore your answer is 34.

Step-by-step explanation:

Vertical Shift: 4

Amplitude: 34

Period: 2pi/3

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Function- f(x)=-x^2+4x+6

anygoal [31]

Answer:

At the positive integer value of x=7 the quadratic function begin to exceed the linear function

Step-by-step explanation:

we have

using a graphing tool

see the attached figure

For x < -1.405 and x > 6.405 the quadratic function begin to exceed the linear function

At the positive integer value of x=7 the quadratic function begin to exceed the linear function

Step-by-step explanation:

6 0

3 years ago

In her first 20 games, Jennie served 4 aces. If she continues to serve aces at this rate, how many aces will she have after 160

Talja [164]

Answer:

32 aces

Step-by-step explanation:

4/20= x/160

once you set up this proportion you can cross multiple to get:

20x= 640

then just solve for x:

x= 32

5 0

3 years ago

Population Growth Using 20th-century U.S. census data,

asambeis [7]

The population of Ohio will be 10 million in the year 1970

The population growth of Ohio is represented by the function:

$P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}$

P is the population in millions

t is the number of years since 1900

To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

$10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7$

t = 70 years (to the nearest whole number)

70 years after 1900 will be 1970

Therefore, the population of Ohio will be 10 million in the year 1970

Learn more here: brainly.com/question/25504185

5 0

3 years ago

What is the surface area of the square pyramid?

Pavel [41]

The base is a square, therefore all the sides of the base are the same. This also means all the triangles have the same area.

10*10 = 100 cm^2 for the base

0.5*10*12 = 60 cm^2 for each triangle

100 + 4(60) = 340 cm^2

3 0

3 years ago

Read 2 more answers

HELP PLEASE HELP!!!!!!!

Ket [755]

If we are to write this equation in slope-intercept form, it will be in y = mx + b, where m is the slope of the line and b is the y intercept. We need then to find the slope of the line using 2 points on the line and filling in the slope formula to find the slope. One of the points we can use is (0, 3) which is also the y intercept. The y-intercept is found where x = 0. Where x = 0, y = 3. So b = 3. Now for the slope we will use (0,3) and (4,4): $m= \frac{4-3}{4-0} = \frac{1}{4}$ . Using that m value and that b value we have the equation $y= \frac{1}{4}x+3$ . There you go!

3 0

3 years ago