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steposvetlana [31]
4 years ago
7

Predating the invention of calculus by almost 2000 years, archimedes found that the area under a parabolic arch is always 2 3 th

e area of the bounding rectangle.1 show that there is a similar relationship between the volume under a paraboloid and the volume of a can (cylinder) inside which the paraboloid sits.
Mathematics
1 answer:
kondaur [170]4 years ago
3 0
A paraboloid is a surface in space, a three-dimensional version of a parabola. It is assumed that the paraboloid opens downwards. So we can take it to have an equation in R^3 of the form z =BB−BB(x^2 + y^2), where you will want to fill in the BBs so that the piece of the paraboloid sitting above the xy-plane has radius R and height H.
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A scale measures weight to the nearest 0.1 pounds. Which is the most appropriate way to report weight using this scale ?
ratelena [41]
The answer is A
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8 0
3 years ago
Read 2 more answers
. Joan wants to buy a new TV that costs $1299.99. The store has a discount on the TV for 30% off. The city Joan lives in has a 1
Naily [24]

Answer:

$1023.74

Step-by-step explanation:

Joan wants to buy a new TV that costs $1299.99. The store has a discount on the TV for 30% off. The city Joan lives in has a 12.5% sales tax. What will be the total cost of the TV?

Step 1

We find the new price after the discount.

Discount = % Discount × Current price

= 30% × $1299.99

= $389.997

The new discounted price =

$1299.99 - $389.997

= $909.993

Step 2

We calculate the Sales tax

The city Joan lives in has a 12.5% sales tax.

Hence,

The sales tax =

12.5% × $909.993

= 12.5/100 × $909.993

= $113.749125

Step 3

The total cost of the TV is calculated as:

Sales Tax + Discounted price

= $113.749125 + $909.993

= $1023.742125

Approximately = $1023.74

The total cost of the TV = $1023.74

3 0
3 years ago
A company knows that unit cost C and unit revenue R from the production and sale of x units are related by Upper C equals StartF
levacccp [35]

Answer:

$990 per unit.

Step-by-step explanation:

The Unit Cost (C) and Unit Revenue R from the production and sale of x units are related by the function:

C=\dfrac{R^2}{220000} +3221

We are required to find the rate of change of revenue per unit when the cost per unit is changing by $9 and the revenue is ​$1,000.

Rate of Change of C,

\dfrac{dC}{dt}=\dfrac{R}{110000} \dfrac{dR}{dt} \\\dfrac{dC}{dt}=\$9, R=\$1000\\9=\dfrac{1000}{110000} \dfrac{dR}{dt}\\\dfrac{dR}{dt}=9 \div \dfrac{1000}{110000}\\=9 X  \dfrac{110000}{1000}\\\dfrac{dR}{dt}=\$990 $ per unit$

The Revenue is changing at a rate of $990 per unit.

6 0
3 years ago
Dominic collected data on the favorite sports of the
trasher [3.6K]

Answer:

In Grade 8, 17% of students liked running

Step-by-step explanation:

Although this table is incomplete, there are still enough information to answer.

First, we need to be aware that the data here is written in decimal numbers, which is another way to write percentages.

In other words, 100% equals to 1, which is to say that if we multiply decimal number with 100 we'll get the percentage:

0.39 = 39%

0.04 = 4%

Another important thing to establish is that the value of decimal number DOES NOT mean the number of people, it only suggests the ratio:

0.26 does not mean 26 people etc.

Knowing this, from this incomplete table, we see that 0.17 students from grade 8 liked running. And now we know that 0.17 equals to 17%, which makes B the correct answer.

5 0
4 years ago
Read 2 more answers
Percy buys tomatoes that cost $0.58 per pound he pays $2.03 for the tomatoes how many pounds of tomatoes does he buy show your w
dlinn [17]

Answer: 3.5 pounds


Step-by-step explanation:

Cost of 1 pound of tomatoes= $0.58

Thus, to find the quantity of tomatoes Percy bought in $2.03, we need to divide $2.03 by $0.58

⇒ The quantity of tomatoes he bought=\frac{\$2.03}{\$0.58}=\frac{203}{58}=\frac{35}{10}=3.5

⇒The quantity of tomatoes he bought = 3.5 pounds

Therefore, Percy bought 3.5 pounds of tomatoes .

7 0
4 years ago
Read 2 more answers
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