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lubasha [3.4K]
1 year ago
14

What is the volume of a cylindrical bucket that is 35 cm tall and has a base with a diameter of 21 cm? Use Pi = StartFraction 22

Over 7 EndFraction and round your answer to the nearest tenth of a cubic centimeter.
Mathematics
2 answers:
Naya [18.7K]1 year ago
8 0

Answer:

The volume of the cylindrical bucket to the nearest tenth of a cubic centimeter is 12,122.6 cm^3

Step-by-step explanation:

In this question, we are asked to calculate the volume of a cylindrical bucket with height 35cm and a base diameter of 21cm

Mathematically, the volume of the cylinder V can be calculated using the formula;

V = π * r^2 * h

The value of π = 22/7

since D = 21cm, r = D/2 = 21/2 = 10.5cm

Substituting these values, we have

V = 22/7 * 10.5^2 * 35 = 12,122.621

To the nearest tenth of a cubic centimeter is 12,122.6 cm^3

Valentin [98]1 year ago
4 0

Answer:

12127.5

Step-by-step explanation:

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Joshua started cycling at 5:15 pm By 8:09 pm, he has covered a distance of 7250 mWhat was Joshua's average speed during that tim
vivado [14]

The average speed of Joshua during that time is 2500 m/h.

Explanation:

It is given that Joshua started cycling at 5:15 pm. By 8:09 pm he has covered a distance of 7250 m.

The total time taken by Joshua from 5:15 pm to 8:09 pm is

2 { h } 54 \text { min }=2 \mathrm{h}+\frac{54}{60} {h}

Dividing we get,

2 { h } 54 \text { min }=2 \mathrm{h}+0.9 {h}

Adding, we have,

2 { h } 54 \text { min }=2.9 {h}

Thus, the total time taken by Joshua is 2.9 {h}

To determine the average speed we use the formula,

speed=\frac{distance}{time}

where distance=7250 and time=2.9

Hence, substituting the values we have,

speed=\frac{7250}{2.9}

Dividing, we get,

speed=2500

Thus, the average speed of Joshua during that time is 2500 m/h.

5 0
2 years ago
Weekly demand for a particular item averages 30 units, with a standard deviation of 4. This item is managed with a fixed-order-i
aivan3 [116]

Answer:

(B)93

Explanation:

Since we are using a fixed-order-interval model,

The Amount to Order=Expected Demand During protection Interval+Safety Stock-Amount at Hand

=d(OI+LT)+z\sigma_{d}\sqrt{OI+LT}-A

Where:  

d=weekly demand

OI=Order Interval

LT=Lead Time

z=Standard Deviation of Desired Service Level

\sigma_{d}=Standard Deviation of weekly Demand

A= Amount at Hand

=d(OI+LT)+z\sigma_{d}\sqrt{OI+LT}-A

[30(3 + 1)] + [1.964*4*\sqrt{3 + 1} - 43

= 120 + 15.712 - 43 = 92.7

4 0
1 year ago
The graph of f(x) = 4x3 – 13x2 + 9x + 2 is shown below. On a coordinate plane, a function is shown. The function starts from the
iris [78.8K]

Answer:

3

Step-by-step explanation:

f(x) = 4x^3 – 13x^2 + 9x + 2

This looks complicated but all we need to find are the Roots

We are looking for when y=0

So given each part of the information, we can label how many times it happens

<em>The function starts from the bottom of quadrant 3: </em><u>Starts lower left</u>

<em> and goes up through the x-axis at (0, negative 0.25) </em>: This is ONE ROOT

<em>and then through the y-axis at (0, 2). : It's now on the 2nd quartile</em>

<em>It then starts to curve down at (0.5, 4): It's moving towards y=0</em>

<em>until it reaches (1.75, negative 0.5).: </em>It has now passed y=o and there are TWO ROOTS

<em> It then curves up and crosses the x-axis at (2, 0) and goes up approaching x = 3: </em>It has passed y=0 again, so there are THREE ROOTS

This polynomial function has 3 ROOTS

<em />

6 0
2 years ago
A sausage company makes two different kinds of hot dogs, regular and all-beef. Each pound of all-beef hot dogs requires 0.75 lb
Gre4nikov [31]

Answer:

  • 880 lbs of all-beef hot dogs
  • 2000 lbs of regular hot dogs
  • maximum profit is $3320

Step-by-step explanation:

We can let x and y represent the number of pounds of all-beef and regular hot dogs produced, respectively. Then the problem constraints are ...

  • .75x + 0.18y ≤ 1020 . . . . . . limit on beef supply
  • .30y ≤ 600 . . . . . . . . . . . . . limit on pork supply
  • .2x + .2y ≥ 500 . . . . . . . . . . limit on spice supply

And the objective is to maximize

  p = 1.50x + 1.00y

The graph shows the constraints, and that the profit is maximized at the point (x, y) = (880, 2000).

2000 pounds of regular and 880 pounds of all-beef hot dogs should be produced. The associated maximum profit is $3320.

8 0
2 years ago
Bentley is working two summer jobs, making $18 per hour lifeguarding and making $8 per hour clearing tables. In a given week, he
Mariulka [41]

Answer:

8 hours

Step-by-step explanation:

First, let's find how much Bentley gets from clearing tables.

5 hours • $8 per hour = $40 total

We can take $40 off his $180 total, leaving the rest for when we figure out how much he needs to work lifeguarding.

$180 needed - $40 earned = $140 left to earn

We know that Bentley makes $18 an hour lifeguarding, so in order to get the number of hours he would need to work in order to make $140, we can divide it by $18.

$140 needed ÷ $18 per hour = 7.77...

We need to convert this to a whole number because we're talking about hours worked, so Bentley would need to work 8 hours lifeguarding to make $140 more. He can only work 15 hours total, so let's check if this exceeds his limit.

5 hours clearing tables + 8 hours lifeguarding = 13 hours < 15 hours max

It is possible to make $180 total from this work schedule, so your answer would be 8 hours.

8 0
1 year ago
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