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3 years ago

The sum of 3 fifteens and 4 twos

Mathematics

2 answers:

Vadim26 [7]3 years ago

8 0

The answer is 15x 3= 45+ 8= 53

Anvisha [2.4K]3 years ago

6 0

53 I think is the answer.

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lucia works at her family's italian restaurant . A 20% tip is included with each other. one customer wants to know the price bef

alina1380 [7]

Answer:

$26.88

Step-by-step explanation:

33.60x.20=6.72

33.60-6.72= 26.88

8 0

4 years ago

g A manufacturer is making cylindrical cans that hold 300 cm3. The dimensions of the can are not mandated, so to save manufactur

sdas [7]

Answer:

The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

Step-by-step explanation:

A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.

Recall that the volume for a cylinder is given by:

$\displaystyle V = \pi r^2h$

Substitute:

$\displaystyle (300) = \pi r^2 h$

Solve for <em>h: </em>

$\displaystyle \frac{300}{\pi r^2} = h$

Recall that the surface area of a cylinder is given by:

$\displaystyle A = 2\pi r^2 + 2\pi rh$

We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.

First, substitute for <em>h</em>.

$\displaystyle \begin{aligned} A &= 2\pi r^2 + 2\pi r\left(\frac{300}{\pi r^2}\right) \\ \\ &=2\pi r^2 + \frac{600}{ r} \end{aligned}$

Find its derivative:

$\displaystyle A' = 4\pi r - \frac{600}{r^2}$

Solve for its zero(s):

$\displaystyle \begin{aligned} (0) &= 4\pi r - \frac{600}{r^2} \\ \\ 4\pi r - \frac{600}{r^2} &= 0 \\ \\ 4\pi r^3 - 600 &= 0 \\ \\ \pi r^3 &= 150 \\ \\ r &= \sqrt[3]{\frac{150}{\pi}} \approx 3.628\text{ cm}\end{aligned}$

Hence, the radius that minimizes the surface area will be about 3.628 centimeters.

Then the height will be:

$\displaystyle \begin{aligned} h&= \frac{300}{\pi\left( \sqrt[3]{\dfrac{150}{\pi}}\right)^2} \\ \\ &= \frac{60}{\pi \sqrt[3]{\dfrac{180}{\pi^2}}}\approx 7.25 6\text{ cm} \end{aligned}$

In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

7 0

3 years ago

Which is smaller 1&5/8"or 1&7/8"

grigory [225]

1 & 5/8 because 7/8 is closer to 1 whole than 5/8

4 0

3 years ago

7 less or greater than 5x -16 does it equal 4?

Marysya12 [62]

Can you re-phrase the question

4 0

3 years ago

Determine the distance between (−3,1)and (5,−6)

USPshnik [31]

Answer:

10.6 units

Step-by-step explanation:

distance formula

= √((x2-x1)²+(y2-y1)²)

= √((5+3)²+(-6-1)²

= √(8²+(-7)²)

= √ (64+49)

= √113

= 10.6

5 0

3 years ago