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inn [45]
3 years ago
8

Find the range of values of x for which the function defined by f(x)=

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

all values! x ∈ R

Step-by-step explanation:

The derivative f'(x) = 6x²-6x+12 is a parabola opening upward, with its (positive!) minimum at (0.5, 11.5). If the derivative is always positive, the function must be increasing everywhere!

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Calvin had 30 minutes in time-out. For the first 23 1/3 minutes, Calvin counted spots on the ceiling. For the rest of the time,
scoundrel [369]

Answer: \frac{20}{3}\ minutes or 6 \frac{2}{3}\ minutes

Step-by-step explanation:

For this exercise you can convert the mixed number to an improper fraction:

1. Multiply the whole number part by the denominator of the fraction.

2. Add the product obtained and the numerator of the fraction (This will be the new numerator).

3. The denominator does not change.

Then:

23\frac{1}{3}= \frac{(23*3)+1}{3}= \frac{70}{3}\ minutes

You know that he had 30 minutes in time-out, he counted spots on the ceiling for \frac{70}{3} minutes and the rest of the time he made faces at his stuffed tiger.

Then, in order to calculate the time Calvin spent making faces at his stuffed tiger, you need to subract 30 minutes and \frac{70}{3} minutes:

30\ min-\frac{70}{3}=(\frac{3(30)-70}{3})=\frac{20}{3}\ minutes or 6 \frac{2}{3}\ minutes

7 0
3 years ago
Read 2 more answers
The null hypothesis is that the average high temperature in December is 45 degrees. If someone reports that the average was 52 d
Vanyuwa [196]
P-value approach is used to take a decision to reject or accept the null hypothesis as indicated below:
<span>REJECT the hypothesis, if p-value </span><span>FAIL TO REJECT the hypothesis, if p-value > the alpha value.
</span><span>Alpha value represents the level of significance </span>
<span>If alpha value is NOT indicated: alpha = 0.05 can be assumed </span>

<span>REJECT the hypothesis, because p-value (0.036) < the alpha value assumed which is 0.05</span>
7 0
3 years ago
Find the area of the circle to the<br> nearest tenth. Use 3.14 for it<br> (11 mm)
Nikolay [14]

Answer:

The area of the circle is 379.94 mm²

Step-by-step explanation:

To solve this problem we need to use the area formula of a circle:

a = area

r = radius = 11 mm

π = 3.14

a = π * r²

we replace with the known values

a = 3.14 * (11 mm)²

a = 3.14 * 121 mm²

a = 379.94 mm²

Round to the nearest tenth

a = 379.94 mm² = 379.9 mm²  

The area of the circle is 379.9 mm²

4 0
3 years ago
If the sum of all interior angles of a regular polygon is 1080 degrees then number of sides of the polygon is?
MakcuM [25]

Answer:  8

<u>Step-by-step explanation:</u>

The formula for the sum of the angles of a polynomial is:

S_n=180(n-2)

1080 = 180(n - 2)

1080 = 180n - 360

1440 = 180n

8 = n

6 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST
Svetach [21]

Answer:

Check explanation

Step-by-step explanation:

I'll give you my way of solving it and you can figure it out from there.

<CEA = <DEB due to vertical angles

AE = ED due to midpoint theorem

<CAD = <ADB due to alternating angles theorem

thus two triangles congruent due to ASA

5 0
3 years ago
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