If <em>x</em> = -1, you have
2(-1) + 3 cos(-1) + <em>e</em> ⁻¹ ≈ -0.0112136 < 0
and if <em>x</em> = 0, you have
2(0) + 3 cos(0) + <em>e</em> ⁰ = 4 > 0
The function <em>f(x)</em> = 2<em>x</em> + 3 cos(<em>x</em>) + <em>eˣ</em> is continuous over the real numbers, so the intermediate value theorem applies, and it says that there is some -1 < <em>c</em> < 0 such that <em>f(c)</em> = 0.
Answer:
given:
height[h]=8mm
radius [r]=5mm
Now,
Volume of cone=1/3 πr²h=⅓×3.14×5²×8=209mm³
<u>C) 209 </u><u>mm³</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>
Find the perimeter of the painting because that's what the frame will be:
2(5)+2(6)=P
10+12=P
22=P
Multiply 22 by 5 because the painting has a perimeter of 22 feet and each one foot will cost 5 dollars
22*5=110
The frame would cost $110
You have to watch 30 movies to earn a free movie pass.
Step-by-step explanation:
Given,
Points earned for each movie = 2 points
Current points = 40 points
Free movie pass = 100 points
Let,
x be the number of movies you have to watch.
2*number of movies + current points = 100

Subtracting 40 from both sides

Dividing both sides by 2

You have to watch 30 movies to earn a free movie pass.
Keywords: linear equation, division
Learn more about division at:
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