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2 years ago

PLEASE HELP ME this is really hard please

Mathematics

1 answer:

krok68 [10]2 years ago

7 0

Answer:

1100

2200

Step-by-step explanation:

Since speed is constant, the distance is proportional to the time. We notice that the number in the second column is 1650/3 = 550 times the number in the first column, so the two missing numbers are ...

2 × 550 = 1100

4 × 550 = 2200

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An open metal tank of square base has a volume of 123 m^3

snow_lady [41]

Answer:

a) h = 123/x^2

b) S = x^2 +492/x

c) x ≈ 6.27

d) S'' = 6; area is a minimum (Y)

e) Amin ≈ 117.78 m²

Step-by-step explanation:

a) The volume is given by ...

V = Bh

where B is the area of the base, x^2, and h is the height. Filling in the given volume, and solving for the height, we get:

123 = x^2·h

h = 123/x^2

b) The surface area is the sum of the area of the base (x^2) and the lateral area, which is the product of the height and the perimeter of the base.

$S=x^2+Ph=x^2+(4x)\dfrac{123}{x^2}\\\\S=x^2+\dfrac{492}{x}$

c) The derivative of the area with respect to x is ...

$S'=2x-\dfrac{492}{x^2}$

When this is zero, area is at an extreme.

$0=2x -\dfrac{492}{x^2}\\\\0=x^3-246\\\\x=\sqrt[3]{246}\approx 6.26583$

d) The second derivative is ...

$S''=2+\dfrac{2\cdot 492}{x^3}=2+\dfrac{2\cdot 492}{246}=6$

This is positive, so the value of x found represents a minimum of the area function.

e) The minimum area is ...

$S=x^2+\dfrac{2\cdot 246}{x}=(246^{\frac{1}{3}})^2+2\dfrac{246}{246^{\frac{1}{3}}}=3\cdot 246^{\frac{2}{3}}\approx 117.78$

The minimum area of metal used is about 117.78 m².

3 0

2 years ago

What number is 40 percent of 200

dsp73

80 ...........................

4 0

2 years ago

Read 2 more answers

The stock price of the company was $38. The stock price fell to $12.60. Which is the closest to the percent decrease in this sto

Nonamiya [84]

Answer:

66.8421% decrease

Step-by-step explanation:

6 0

2 years ago

The table shows the values of a function f(x).

QveST [7]

Answer:

The average rate of change is $=-4$

Step-by-step explanation:

The average rate of change from x=a to x=b of f(x) is given by;

$=\frac{f(b)-f(a)}{b-a}$

We want to find the average rate of change of the function represented in the table from x=-2 to x=2.

$=\frac{f(2)-f(-2)}{2--2}$

From the table f(-2)=25 and f(2)=9

The average rate of change from x=-2 to x=2 is

$=\frac{9-25}{2--2}$

$=\frac{-16}{4}$

$=-4$

3 0

2 years ago

In a survey of employees at a fast food restaurant, it was determined that 15 cooked food, 12 washed dishes, 21 operated the

andre [41]

This question is incomplete

Complete Question

In a survey of employees at a fast food restaurant, it was determined that 15 cooked food, 12 washed dishes, 21 operated the cash register, 7 cooked food and washed dishes, 6 cooked food and operated the cash register, 6washed dishes and operated the cash register, 4 did all three jobs, and 7 did none of these jobs

(a) Only cooked food?

(b) Only operate the cash register?

Answer:

(a) Only cooked food?

(b) Only operate the cash register?

Step-by-step explanation:

From the above question, we have the following information:

15 cooked food

12 washed dishes

21 operated the cash register

7 cooked food and washed dishes

6 cooked food and operated the cash register

6washed dishes and operated the cash register

4 did all three jobs

7 did none of these jobs

(a) Only cooked food?

This would be calculated as

Number of people that cooked food + Number of people that did all three jobs - Number of people that cooked food and washed dishes - Number of people that cooked food and operated the cash

= 15 + 4 - 7 - 6

= 19 - 13

= 6

Therefore ,only 6 people cooked food

(b) Only operate the cash register?

This would be calculated as

Number of people that operated cash register + Number of people that did all three jobs - Number of people that cooked food and operated the cash register - Number of people that washed dishes and operated the cash register

= 21 + 4 - 6 - 6

= 25 - 12

= 13

Therefore, only 13 people operated cash register.

7 0

2 years ago