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NemiM [27]
3 years ago
14

The function describes the volume of a right circular cylinder of height 3 ft and radius r feet. find the instantaneous rate of

change of the voume with respect to the radius when r = 5
Mathematics
1 answer:
xxMikexx [17]3 years ago
8 0
The volume of a right circular cone is calculated through the equation,

                  V = πr²h

where V is volume, r is radius of the base, and h is height. Given that height is 3 ft, this can be simplied into,
 
                V = 3πr²

The rate of change with respect to r is,
                dV/dr = 6πr

Substituting the DALE,

                dV/dr = (6)π(2 m)² = 24π

Answer: 24π. 
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andrezito [222]

Answer:

B, and i don't for the second one

Step-by-step explanation:

4 0
3 years ago
Willie and anjali each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Willi
Fiesta28 [93]

Answer:the cost of one day lily = $9 and cost of one pot of ivy = $2

Step-by-step explanation:

Step 1

let day lilies be rep as d

and ivy be represented as i

So that The expression for what Willie spent on  12 day lilies and 4 pots of ivy = $116 be

12 d+ 4i = 116 ---- equation 1

and for Anjali spending  $60 on 6 day lilies and 3 pots of ivy be

6d+ 3i = $60------ equation 2

Step 2 --- Solving

 12 d+ 4i = 116 ---- equation 1

6d+ 3i = $60------ equation 2

Multiply equation 2 by (2) and subtracting equation 1  from it

12d+ 6i= 120

--12 d+ 4i = 116

2 i= 4

i = 4/2 = 2

TO find d, putting the value of i = 2 in equation 1 and solving

12d+ 4(2) = 116

12d= 116-8

12d= 108

d= 108/12= 9

Therefore the cost of one day lily = $9 and cost of one pot of ivy = $2

5 0
3 years ago
A survey of 80 randomly selected companies asked them to report the annual income of their presidents. Assuming that incomes are
Artyom0805 [142]

Answer:

The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

Step-by-step explanation:

The information provided is:

n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%

The critical value of <em>z</em> for 90% confidence level is, 1.645.

Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:

CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)

Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.

4 0
3 years ago
Snack in our class occurs at 9:50 am. We eat lunch at 12:05 pm. How long to students need to wait
Novay_Z [31]

Answer:

2 hours and 15 minutes

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I don't really understand this​
KonstantinChe [14]

Answer:

6

Step-by-step explanation:

the question says that (Patricia) is covering a table with a table cloth, the table has a diameter of 6.

Diameter is defined as the length of a straight line through the center of a circle. An example of diameter is the length of a line sliced down the center of a pie.

so the question asks how much surface is covered by the table cloth? simply it is six.

8 0
2 years ago
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