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Sliva [168]
3 years ago
15

A circular plate has a diameter of 6 inches.

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0
D. 9pi square inches

The formula for the area of a circle is <span>π x r^2
Since the diameter is 6, the radius (r) is 3
3^2 = 9
This times pi will give you the area of the plate
</span>
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A player rolls a pair of standard dice. Find the probability P(sum is at least 3)
Nezavi [6.7K]
D because there are 6 sides to a dice and there are 3 options where the number is bigger than 3. Therefore 3/6 = 15/30
8 0
3 years ago
How do I differentiate this?​
disa [49]

Answer:

\frac{8}{\left(-x+2\right)^2} & x = 1, x = 3

Step-by-step explanation:

I'm sure you are familiar with the product rule,

If y = u*v => dy/dx = u * dv/dx + v * dy/dx <----- product rule

In this case:

u=3x+2,\:v=\left(2-x\right)^{-1},\\=>\frac{d}{dx}\left(3x+2\right)\left(2-x\right)^{-1}+\frac{d}{dx}\left(\left(2-x\right)^{-1}\right)\left(3x+2\right)

Now remember the sum rule:

\frac{d}{dx}\left(3x+2\right) = \frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(2\right),\\\frac{d}{dx}\left(3x\right) = 3,\\\frac{d}{dx}\left(2\right)  = 0\\\frac{d}{dx}\left(3x+2\right) = 3

For this second bit we apply the chain rule:

\frac{d}{dx}\left(\left(2-x\right)^{-1}\right) = -\frac{1}{\left(2-x\right)^2}\frac{d}{dx}\left(2-x\right),\\\frac{d}{dx}\left(2-x\right) = -1,\\\\=> -\frac{1}{\left(2-x\right)^2}\left(-1\right)\\=> \frac{1}{\left(2-x\right)^2}

If we substitute these values back into the expression...\frac{d}{dx}\left(3x+2\right)\left(2-x\right)^{-1}+\frac{d}{dx}\left(\left(2-x\right)^{-1}\right)\left(3x+2\right)

...we get the following:

3\left(2-x\right)^{-1}+\frac{1}{\left(2-x\right)^2}\left(3x+2\right)

The rest is just pure simplification:

3\left(2-x\right)^{-1}+\frac{1}{\left(2-x\right)^2}\left(3x+2\right)\\= \frac{3}{-x+2}+\frac{3x+2}{\left(-x+2\right)^2}\\= \frac{3\left(-x+2\right)}{\left(-x+2\right)^2}+\frac{3x+2}{\left(-x+2\right)^2}\\\\= \frac{3\left(-x+2\right)+3x+2}{\left(-x+2\right)^2}\\\\= \frac{8}{\left(-x+2\right)^2}

Now let's equate this to equal 8 for the second bit and solve for x:

\frac{8}{\left(-x+2\right)^2}=8,\\\frac{8}{\left(-x+2\right)^2}\left(-x+2\right)^2=8\left(-x+2\right)^2,\\8=8\left(-x+2\right)^2,\\\left(-x+2\right)^2=1,\\x = 1, x = 3

4 0
2 years ago
Solve for Z. <br><br> 3z - 5 = 2z + 2
inna [77]
The answer to your equation is z = 7
7 0
3 years ago
Suppose that Cecil, the tightrope walker, can only travel lengths of 5 feet, 6 feet, and 8 feet.
d1i1m1o1n [39]

Answer:

The two expressions are;

1) -8 ft. + 3 × 6 ft. = 12 feet

2) -6 ft. + 2 × 5 ft. + 8 ft. = 12 feet

Step-by-step explanation:

The given parameters are;

The lengths in feet Cecil can travel = 5 feet, 6 feet, and 8 feet

The distances Cecil can travel forward = (positive 5, 6, 8)

Backwards Cecil can travel distances of (-5, -6, -8)

Cecil can go forward past the ladder and return back

Therefore, the number expressions by which Cecil can cross a tightrope 12 feet long are;

1) -8 ft. + 3 × 6 ft. = 12 feet

Which is to go back 8 feet and then to go forward 6 feet three times

2) -6 ft. + 2 × 5 ft. + 8 ft. = 12 feet

Which is to go back 6 feet then to go forward in 5 feet two times and then in forward again in 8 feet.

7 0
3 years ago
Mark gets picked up by the bus at 7:40 he arrives at school at 8:10 how long does it take to get to school
Elodia [21]
You could do this in two ways, you could either subtract immediately or convert the time given in hours into minutes
STEP 1:
8:10
- 7:40
which will give 0:30
STEP 2:
8 hours 10 minutes into minutes is
(8 * 60) +10 = 490 minutes
7 hours 40 minutes into minutes is
(7*40) + 40 = 460 minutes
490 - 460
= 30minutes
3 0
3 years ago
Read 2 more answers
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