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3 years ago

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Mathematics

1 answer:

butalik [34]3 years ago

3 0

Answer:

Step-by-step explanation:

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Im confused..I feel as if what I’m learning in class itself is not as difficult as the problems my teacher gives us to take home

RideAnS [48]

Ok, so remember that the derivitive of the position function is the velocty function and the derivitive of the velocity function is the accceleration function

x(t) is the positon function
so just take the derivitive of 3t/π +cos(t) twice
first derivitive is 3/π-sin(t)
2nd derivitive is -cos(t)
a(t)=-cos(t)

on the interval [π/2,5π/2) where does -cos(t)=1? or where does cos(t)=-1?
at t=π
so now plug that in for t in the position function to find the position at time t=π
x(π)=3(π)/π+cos(π)
x(π)=3-1
x(π)=2
so the position is 2

ok, that graph is the first derivitive of f(x)
the function f(x) is increaseing when the slope is positive
it is concave up when the 2nd derivitive of f(x) is positive

we are given f'(x), the derivitive of f(x)
we want to find where it is increasing AND where it is concave down

it is increasing when the derivitive is positive, so just find where the graph is positive (that's about from -2 to 4)

it is concave down when the second derivitive (aka derivitive of the first derivitive aka slope of the first derivitive) is negative
where is the slope negative?
from about x=0 to x=2
and that's in our range of being increasing
so the interval is (0,2)

4 0

3 years ago

An airline promotion to business travelers is based on the assumption that two-thirds of business travelers use a laptop compute

skad [1K]

Answer:

The null hypothesis is $H_o : p = 0.67$

The alternative hypothesis is $H_a : p \ne 0.67$

The sample proportion is $\^ p = 0.65$

Step-by-step explanation:

From the question we are told that

The sample size is n = 546

The number of people that use a laptop overnight is $k = 355$

The population proportion is $p = \frac{2}{3} = 0.67$

Generally

The null hypothesis is $H_o : p = 0.67$

The alternative hypothesis is $H_a : p \ne 0.67$

Gnerally the sample proportion is mathematically represented as

$\^ p = \frac{ k}{n}$

=> $\^ p = \frac{ 355}{546}$

=> $\^ p = 0.65$

4 0

3 years ago

Elisa says, "If you subtract 14 from my number and multiply the difference by -3 , the result is -33 ." What is Elise's num

Svetach [21]

Answer:

Step-by-step explanation:

(x-14)*-3 = -33

-3x+42 = -33

-3x = -33-42

-3x = -75

x=25

6 0

3 years ago

Mrs. Lin is sewing costumes for her grandchildren. She is making 3 lion costumes, 1 zebra costume, and 2 bear costumes. Fabric c

Zinaida [17]

Answer:

rtetrt343444

Step-by-step explanation:

rewrew

8 0

3 years ago

A.) write an equation in slope intercept form for the total cost of any number of tickets at 7 tickets for $5.

MrMuchimi

Slope intercept form is y = mx + b

7 tickets for $5 means that 1 ticket costs 5/7 dollars

So for part a, the slope intercept form would be:

$y = \frac{5}{7}x$

where x is the number of tickets, and y is the price.

For part b)

The slope intercept form is:
$y = 25x$

where x is the number of all you can ride wristbands you buy, and y is the total price.

7 0

3 years ago