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mihalych1998 [28]
3 years ago
5

Which value of x will satisfy the inequality x + 7 < 15?

Mathematics
2 answers:
Nadusha1986 [10]3 years ago
8 0
A. cuz 7+7=4 ; everything else would be equal to or larger than 15.
Levart [38]3 years ago
7 0
The answer is 8 which is b
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Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the re
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Answer:

Step-by-step explanation:

\text{Given that:}

y = 1+ sec(x) \ \ y =3

\text{we draw the graph and the curves intersect at:}

x = - \dfrac{\pi}{3} \ and \ x = \dfrac{\pi}{3}

\text{Applying washer method;}

f(x) _{outer} - g(x) _{inner} --- (1)

V= \int ^b_a A(x) \ dx --- (2)

\text{outer radius = 3 - 1 = 2}

\text{inner radius =} ( 1 + sec(x) ) - 1 = sec (x)

A(x) = \pi ((2)^2 -(sec(x)^2)  \\ \\  A(x) = \pi (4 - sec^2 (x))  ---- (3)

\text{The volume V =}\int ^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \ \ A(x) \ dx

V = \int ^{\dfrac{\pi}{3}}_{-\dfrac{\pi}{3}} \ \ \pi (4- sec^2 (x) ) \ dx

V = 2 \pi \int ^{\dfrac{\pi}{3}}_{0}( 4 - sec^2 (x)) \ dx

V = 2 \pi \int ^{\pi/3}_{0} 4 . \ dx - 2 \pi  \int ^{\pi/3}_{0}  sec^2 (x) \ dx

V = 2 \pi(4) \int ^{\pi/3}_{0} 1 . \ dx - 2 \pi \Big( tan (x)\Big )^{\dfrac{\pi}{3}}_{0}

V = 8 \pi(x)^{\dfrac{\pi}{3}}_{0}  - 2 \pi \Big( tan \dfrac{\pi}{3} -tan (0)\Big )

V = 8 \pi({\dfrac{\pi}{3}}-{0})  - 2 \pi \Big( tan \sqrt{3}-(0)\Big )

V = 8 \pi({\dfrac{\pi}{3}})  - 2 \pi \Big( \sqrt{3}\Big )

\mathbf{V = 2 \pi \Big(\dfrac{4\pi}{3}- \sqrt{3} \Big)}

8 0
3 years ago
Which graph represents the function?<br><br> f(x)=−x2+x+6
sergiy2304 [10]
First page , second image is the correct answer :)
4 0
3 years ago
Write the equation of a horizontal line passing through (-3,5) Show work.
Mandarinka [93]
Y=5... any horizontal line will be in the form y=a number and if you need a line that passes through (-3,5) you just ignore the x and use the y

8 0
3 years ago
Scientists are studying a group of living cells under a microscope. They write down notes about the size, shape, and color of th
denpristay [2]

Answer: answer is D, descriptive, because the scientists are writing down observations but not making comparisons

Step-by-step explanation:

According to the question, the scientists were making individual notes on their observation about shape, colour, size and other characteristics of the living cells. We do not have enough information to show that they were making comparisons.

I hope this helps.

3 0
3 years ago
Read 2 more answers
*PLEASE HELP*
Evgesh-ka [11]
3^2+10^2=c^2

9+100=c^2

109=c^2

Square root both sides and you get:


10.44


(I’m pretty sure I’m right but make sure you double check good lucky
7 0
3 years ago
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