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Arada [10]
3 years ago
7

A ______________ is an ordered set of numbers or objects in which the order helps you predict what comes next

Mathematics
2 answers:
nlexa [21]3 years ago
6 0
The answer is "Pattern"
Ahat [919]3 years ago
4 0
A pattern is an ordered set of numbers pattern is the answer
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Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

r=3 sec(y)

a=0

b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
3 years ago
Mary went up the Old Tower taking 3 steps per second. Then she carefully came down from the tower taking 2 steps per second. It
Inessa [10]

Answer:

old town has 150 steps

Step-by-step explanation:

Let the number of steps in the old tower be m

Mathematically, time = distance/speed

In this case, the distance is the number of steps while the speed is the rate of climbing or descending

For climbing, time spent = m/3

For descending time spent = m/2

Since it took her 25 longer when descending;

This means that;

m/2 - m/3 = 25

(3m-2m)/6 = 25

m/6 = 25

m = 6 * 25

m = 150 steps

8 0
3 years ago
Evaluate 1.1.075 + 21.67 <br> 3.15<br> ​
o-na [289]

Answer:

√ 96

log

(100 )

3 ^5 / 3

Step-by-step explanation:

6 0
3 years ago
15) Amy is playing a video game. She
MariettaO [177]
8-10=-2
-2+5=3
3+7=10
10-(-20)=-10
Final score is -10 points
5 0
3 years ago
If 4x + 8x + 12x + 16x is equal to 5 + 10 + 30 + 40 then what is the value of x​
zloy xaker [14]

4x+8x+12x+16x=5+10+30+40

4x+8x+12x+16x= 85

40x=85

x= 85/40

x=2.125

7 0
3 years ago
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