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3 years ago

The eighth term in the series 2, 6, 18, 54, ___ is 4122 4374 5643 7434

Mathematics

1 answer:

lapo4ka [179]3 years ago

6 0

Answer: I think it's 163

Step-by-step explanation:

it's multiplied by 3's

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Graph a line with a slope of -3 that contains the point 4,-2

JulsSmile [24]

Answer:

y=-3x+10

Step-by-step explanation:

Use point-slope form first.

y-y1=m(x-x1)

Plug the numbers into that.

y+2=-3(x-4)

Distribute and simplify to convert it to y=mx+b

y+2=-3x+12

y=-3x+10

6 0

3 years ago

an inverted cone has a height of 11 inches and an initial radius of 18 inches. the volume of the inverted cone is decreasing at

joja [24]

Radius of cone is decreasing at the rate of $\frac{1623}{110\pi}$ inches

What is rate of change?

Suppose there is a function and there are two quantities. If one quantity of a function changes, the rate at which other quantity of the function changes is called rate of change of a function.

Here rate of change of radius of cone has been calculated

Radius of cone = 18 inches

Height of cone = 11 inches

Volume of cone (V) = $\frac{1}{3} \pi r^2h$

$\frac{dV}{dt} = \frac{1}{3} \pi h (2r\frac{dr}{dt})\\-541 = \frac{2}{3} \pi \times 11\times 5\times\frac{dr}{dt}\\\frac{dr}{dt} = -\frac{541 \times 3}{2 \times \pi \times 11 \times 5}\\\frac{dr}{dt} = -\frac{1623}{110 \pi}$

Radius of cone is decreasing at the rate of $\frac{1623}{110\pi}$ inches

To learn more about rate of change, refer to the link-

brainly.com/question/24313700

#SPJ4

5 0

2 years ago

Remainder theorem: P(x) is a polynomial. Here are a few values of P(x):

andreyandreev [35.5K]

First answer is -5.
Second answer is -1.

4 0

3 years ago

Okay so the choices of answers are the same on all three and I do need answers for all three :( pls help! Thanks

vovikov84 [41]

Answer:

1. >

2. <

3. =

Step-by-step explanation:

7 0

4 years ago

A manufacturer makes two types of handmade fancy paper bags. Type A and Type B. Two designers a cutter and a finisher need to wo

Vlad1618 [11]

Answer:

18 Type A bags
24 Type B bags

Step-by-step explanation:

The graph shows the constraints and the boundaries of the feasible region. The maximum profit will be had with the manufacture of 18 Type A bags and 24 Type B bags.

The inequality describing the constraint on cutter hours is ...

2a +3b ≤ 108

The inequality describing the constraint on finisher hours is ...

3a +1b ≤ 78

The boundary lines of the solution regions of these inequalities intersect at ...

(a, b) = (18, 24)

The profit function is such that it doesn't pay to make all of one type or the other bags. The most profit is had for the mix ...

18 Type A bags; 24 Type B bags.

On the graph, the line representing the profit function will be as far as possible from the origin at the point of maximum profit.

4 0

3 years ago