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SOVA2 [1]
3 years ago
7

Solve for x: 21x - 3| + 1 = 7

Mathematics
1 answer:
Andreas93 [3]3 years ago
4 0

Answer:

x=6

Step-by-step explanation:

distribute 2 to x and 3..you get 2x -6 +1. add 6 and subtract one to cancel it out and bring it to the other side. 2x=12...simplify x=6

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How can you express (15 30) as a multiple of a sum of whole numbers with no common factor?
Alex_Xolod [135]
Well theoretically speaking you could but that would take a long time and 15 and 30 have a common factor of 5 and 15. So I think for this one you can't since there are two common factors.
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3 years ago
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List the domain of the following points from least to greatest: (-2, 4) (-6,8) (3,6) (5,15) (-1, 4)
nasty-shy [4]

Answer:

Domain = {-6, -2, -1, 3, 5}

Step-by-step explanation:

The domain represents the input or x values of a given relation.

In the given set of ordered pairs: (-2, 4) (-6,8) (3,6) (5,15) (-1, 4)

Domain (input/x values) = {-6, -2, -1, 3, 5}

Range (output/y values) = {4, 6, 8, 14}

3 0
3 years ago
Find the probability of 5 successes in 9 trials of a
erik [133]

Answer:

13.8%

Step-by-step explanation:

P = nCr pʳ qⁿ⁻ʳ

P = ₉C₅ (0.37)⁵ (1−0.37)⁹⁻⁵

P ≈ 0.138

3 0
2 years ago
1. The mechanics at Lincoln Automotive are reborning a 6 in deep cylinder to fit a new piston. The machine they are using increa
Firdavs [7]

Answer:

0.0239\frac{in^{3}}{min}

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram of the cylinder. (See attached picture)

This diagram will help us visualize the problem better.

So we start by determining what data we already know:

Height=6in

Diameter=3.8in

Radius = 1.9 in (because the radius is half the length of the diameter)

The problem also states that the radius will increase on thousandth of an inch every 3 minutes. We can find the velocity at which the radius is increasing with this data:

r'=\frac{1/1000in}{3min}

which yields:

r'=\frac{1}{3000}\frac{in}{min}

with this information we can start solving the problem.

First, the problem wants us to know how fast the volume is increasing, so in order to find that we need to start with the volume formula for a cylinder, which is:

V=\pi r^{2}h

where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.

Now, the height of the cylinder will not change at any time during the reborning, so we can directly substitute the provided height, so we get:

V=\pi r^{2}(6)

or

V=6 \pi r^{2}

We can now take the derivative to this formula so we get:

\frac{dV}{dt}=2(6)\pi r \frac{dr}{dt}

Which simplifies to:

\frac{dV}{dt}=12\pi r \frac{dr}{dt}

We can now substitute the data provided by the problem to get:

\frac{dV}{dt}=12\pi (1.9) (\frac{1}{3000})

which yields:

\frac{dV}{dt}=0.0239\frac{in^{3}}{min}

3 0
3 years ago
Find the lateral and total surface area for the cone. If necessary, round to the nearest tenth and leave the
bija089 [108]

9514 1404 393

Answer:

  • 262.2π cm²
  • 392.16π cm²

Step-by-step explanation:

The lateral surface area is the product of half the circumference, and the slant height:

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The total surface area adds the area of the base to that:

  A = πr² +LA = π(11.4 cm)² +262.2π cm² = (129.96 +262.2)π cm²

  A = 392.16π cm²

3 0
3 years ago
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