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2 years ago

it takes 8 minutes for peter to make 2 laps around the go kart track. how many laps can sue complete in 24 minutes

Mathematics

2 answers:

svlad2 [7]2 years ago

8 0

Six laps is the correct answer!

liberstina [14]2 years ago

7 0

This is your perfect answer

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One-fourth of a number is 3 more than one-seventh of the same number. What is the number?

uysha [10]

I set it up as an equation. 1/4x = 1/7x + 3. After you solve it out, it’s 28.

4 0

3 years ago

Read 2 more answers

Many consumer groups feel that the U.S. Food and Drug Administration (FDA) drug approval process is too easy and, as a result, t

Zigmanuir [339]

Answer:

If we reject the null hypothesis based on the evidence, then our conclusion should be Option c.

If we do not reject the null hypothesis based on the evidence, then our conclusion should be Option a.

Step-by-step explanation:

We are given that the FDA wants to set up a hypothesis test to show that the new drug is safe before approving it by assuming it to be unsafe.

So, Null hypothesis, $H_0$ = New drug is unsafe

Alternate Hypothesis, $H_1$ = New drug is safe

Now, if we reject the null hypothesis based on the evidence, then our conclusion should be that :

There is sufficient evidence to believe that the new drug is safe because rejecting null hypothesis means that alternate hypothesis is accepted with required evidence.

And If we do not reject the null hypothesis based on the evidence, then our conclusion should be that :

There is insufficient evidence to believe that the new drug is safe because not rejecting null hypothesis means that we are not ready with enough evidence to assume that new drug is safe.

5 0

3 years ago

1 point) Are the functions f,g, and h given below linearly independent? f(x)=e3x+cos(5x), g(x)=e3x−cos(5x), h(x)=cos(5x). If the

Fynjy0 [20]

Answer:

Functions are linearly dependent (are not linearly independent.)

Step-by-step explanation:

Remember that two functions f(x), g(x) and h(x) are said linearly independent on an interval I if the only solution to the equation

$\alpha f(x)+\beta g(x)+\omega h(x)=0, \ \text{for all } x\in I$

is the trivial one: α = 0, β = 0, ω = 0. If they are not linearly independent, they are called linearly dependent.

Now, let f(x), g(x) and h(x) be the functions:

$f(x)=e^{3x}+\cos(5x),$

$g(x)=e^{3x}-\cos(5x),$

$h(x)=\cos(5x).$

Then, letting α = 1, β= -1 and ω = -2, we see that:

$\alpha f(x)+\beta g(x)+ \omega h(x)=e^{3x}+\cos(5x)-e^{3x}+\cos(5x)+2\cos(5x)=0.$

Hence, the functions f(x), g(x) and h(x) are not linearly independent, or equivalently, are linearly dependent.

8 0

3 years ago

Show how to solve the following; answer must be with fractions and pi

Bess [88]

Answer:

3pi/4 and -pi/4

Step-by-step explanation:

We can simplify -6/6 to -1.

Therefore, this function can be simplified to arctan(-1).

Recall that the meaning of arctan is to find a value that will get the value inside the parenthesis when taken the tangent of it. In other words, tan(x) = -1.

Recall that tan(x) = sin(x)/cos(x). Now recall that sin(pi/4) and cos(pi/4) are both sqrt(2)/2, meaning that tan(pi/4) is 1. To make it -1, we can either make sin(x) -1 while keeping cos(x) 1, or the other way around.

If x is -pi/4, cos(x) will still be 1, but sin(x) will be -1, so tan(-pi/4) will be -1.

If x is 3pi/4, cos(x) will be -1, but sin(x) will still be 1, so tan(3pi/4) will be -1.

Side note: there are still infinite more answers. You can attain them by adding or subtracting 2pi as many times as you want from 3pi/4 or -pi/4 and still get an arctan of -1.

3 0

3 years ago

N is an integer write the values of n such that

sineoko [7]

Answer:

what did not understand (im a bot)

Step-by-step explanation:

3 0

3 years ago