All categories

4 years ago

Is 3.172 a rational number? Or is it irrational?

Mathematics

2 answers:

babunello [35]4 years ago

8 0

Answer:

it is rational

Step-by-step explanation:

ollegr [7]4 years ago

8 0

Answer:

i don't think so

Step-by-step explanation:

Recurring decimals such as 0.26262626…, all integers and all finite decimals, such as 0.241, are also rational numbers. Alternatively, an irrational number is any number that is not rational. It is a number that cannot be written as a ratio of two integers (or cannot be expressed as a fraction).

You might be interested in

The function g(x) = f(x + 1) + 6. Which of the following is true about the graph of g(x).

hram777 [196]

Answer:

You need to show us the options

Step-by-step explanation:

5 0

3 years ago

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e−4x, [0, 2] Yes, it does not m

Zigmanuir [339]

Answer:

(a) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.

(b) $c =0.51995$

Step-by-step explanation:

Given

$f(x) = e^{-4x};\ [0,2]$

Solving (a); Does the function satisfy M.V.T on the given interval

We have:

$f(x) = e^{-4x};\ [0,2]$

The above function is an exponential function, and it is differentiable and continuous everywhere

Solving (b): The value of c

To do this, we use:

$f'(c) = \frac{f(b) - f(a)}{b - a}$

In this case:

$[a,b] = [0,2]$

So, we have:

$f'(c) = \frac{f(2) - f(0)}{2 - 0}$

$f'(c) = \frac{f(2) - f(0)}{2}$

Calculate f(2) and f(0)

$f(x) = e^{-4x}$

So:

$f(2) = e^{-4*2} = e^{-8} = 0.00033546262$

$f(0) = e^{-4*0} = e^{0} = 1$

This gives:

$f'(c) = \frac{0.00033546262 - 1}{2}$

$f'(c) = \frac{-0.99966453738}{2}$

$f'(c) = -0.4998$

Note that:

$f'(x) = (e^{-4x})'$

$f'(x) = -4e^{-4x}$

This implies that:

$f'(c) = -4e^{-4c}$

So, we have:

$f'(c) = -0.4998$

$-4e^{-4c} =-0.4998$

Divide both sides by -4

$e^{-4c} =\frac{-0.4998}{-4}$

$e^{-4c} =0.12495$

Take natural logarithm of both sides

$\ln(e^{-4c}) =\ln(0.12495)$

$\ln(e^{-4c}) =-2.0798$

Apply law of natural logarithm

$\ln(e^{ax}) =ax$

So:

$-4c =-2.0798$

Solve for c

$c =\frac{-2.0798}{-4}$

$c =0.51995$

3 0

3 years ago

Find the area of the trapezoid.

Aliun [14]

The area equation is $A=\frac{a+b}{2} *h$

the trapezoid is actually on its side
so a=10.2
b=12.2
h=12.6

$A=\frac{10.2+12.2}{2} *12.6\\
=\frac{22.4}{2} *12.6\\
=11.2*12.6\\
=141.12\\$

3 0

4 years ago

Plzz help Drag each graph to the correct location on the table.

Juliette [100K]

Answer:

Functions: Second Graph

The other two are not. Use the vertical line test. I'm pretty sure but not 100%

Step-by-step explanation:

4 0

2 years ago

If you wanted to make the graph of y = 6*+7

dangina [55]

you would put the first point on (0,7) because that is the y intercept and then you would go up 6 and right one and then plot the next point assuming it is *6x + 7.

7 0

4 years ago