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Andreyy89
3 years ago
5

Which statement BEST describes 30 ? A) between 5 and 6 B) between 6 and 7 C) between 14 and 15 D) between 15 and 16

Mathematics
2 answers:
Andrew [12]3 years ago
8 0

yes the answer is A hope u like

Angelina_Jolie [31]3 years ago
6 0

Answer:

A

Step-by-step explanation:

Because 5x6=30

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Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using inte
Mashcka [7]

Answer:

f'(x) > 0 on (-\infty ,\frac{1}{e}) and f'(x)<0 on(\frac{1}{e},\infty)

Step-by-step explanation:

1) To find and interval where any given function is increasing, the first derivative of its function must be greater than zero:

f'(x)>0

To find its decreasing interval :

f'(x)

2) Then let's find the critical point of this function:

f'(x)=\frac{\mathrm{d} }{\mathrm{d} x}[6-2^{2x}]=\frac{\mathrm{d} }{\mathrm{d}x}[6]-\frac{\mathrm{d}}{\mathrm{d}x}[2^{2x}]=0-[ln(2)*2^{2x}*\frac{\mathrm{d}}{\mathrm{d}x}[2x]=-ln(2)*2^{2x}*2=-ln2*2^{2x+1\Rightarrow }f'(x)=-ln(2)*2^{2x}*2\\-ln(2)*2^{2x+1}=-2x^{2x}(ln(x)+1)=0

2.2 Solving for x this equation, this will lead us to one critical point since x'  is not defined for Real set, and x''=\frac{1}{e}≈0.37 for e≈2.72

x^{2x}=0 \ni \mathbb{R}\\(ln(x)+1)=0\Rightarrow ln(x)=-1\Rightarrow x=e^{-1}\Rightarrow x\approx 2.72^{-1}x\approx 0.37

3) Finally, check it out the critical point, i.e. f'(x) >0 and below f'(x)<0.

8 0
3 years ago
What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?
UkoKoshka [18]
Y = kx ⇒ k = y/x = 2/(-3) = -2/3

Answer: k = -2/3
8 0
3 years ago
Shirley has a circular rug in her dining room that has an area of 36 pie Square meters what is the radius of the circular rug
ValentinkaMS [17]

Answer: The radius of the circular rug is  6 meters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

<em>Area of a circle (A) = pi r² </em>

Where r is the radius:

Replacing with the values given:

36 pi=pi r²

Dividing both sides by pi:

36 = r²

√36= r

r = 6 meters

So, the radius of the circular rug is  6 meters.

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
Read 2 more answers
What is BC ? Enter your answer in the box.
omeli [17]

Answer:

Before Christ

Step-by-step explanation:

This is a historical term which is the opposite of AD(Anno Domini)

I do not know if I have spelt Anno Domini correctly but it does not matter


4 0
3 years ago
The area of a triangular-shaped rug is 21 square yards and the height is 3 yards. Find the base.
tresset_1 [31]

Answer:

14 yards

Step-by-step explanation:

the area of a triangle is 0.5×b×h

so

plug in what you have

0.5×b×3=21

(3x0.5)b=21

1.5b=21

b=21/1.5

b=14

6 0
2 years ago
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