Using the rules for significant figures what do you get when you subtract 12.63 from 52.2147

Nicole earns $40,768 per year. What are her weekly gross earnings?

Vesna [10]

First, let’s divide 365 by 7 to find out how many weeks are in a year. (52) Then we can divide that number by 40768 and we get answer choice 784.

8 0

2 years ago

Bill and Bob cycle in opposite directions. Bill cycles at 12 km/h

Sliva [168]

Answer:

You arrive home after driving 3 hours and 40 minutes.

Step-by-step explanation:

7 0

2 years ago

Need accurate answers immediately geometry

FrozenT [24]

Answer:

I Believe that your answer is D. Sorry if i'm wrong.

Step-by-step explanation:

7 0

2 years ago

PLEASE SHOW WORK ILL GIVE BRAINLIEST DUE TODAY!!!

murzikaleks [220]

Answer:

1. 169 2. 163 3. 54 4. 221 5. 6 6. 7 7. 11 8. 9

Step-by-step explanation:

Remember the Order of Operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtract

*But always solve from left to right so there can be times where you either have to do division before multiplication or subtraction before addition

1. 14 + 18 ÷ 2 x 18 – 7

14+9 x 18-7

14+162-7

176-7

169

2. 15 x 10 + 12 ÷ 3 + 9

150+12÷3+9

150+4+9

154+9

163

3. 8 x 4 + 9 – 9 + 18

36+9-9+18

45-9+18

36+18

54

4. 2 - 1 + 5 x 4 x 11

2-1+20x11

2-1+220

1+220

221

5. 60 – 9 x 8 ÷ 8 x 6

60-72÷ 8 x 6

60-9x6

60-54

6

6. (10 ÷ 5)3 + 100 – 9 x 11

(2)3+100-9x11

6+100-9x11

6+100-99

106-99

7

7. 3 x 8 x 2 – 42 + 5

24x2-42+5

48-42+5

6+5

11

8. 14 ÷ 2 -1 + 3

7-1+3

6+3

9

6 0

2 years ago

A metal cylinder can with an open top and closed bottom is to have volume 4 cubic feet. Approximate the dimensions that require

Aleksandr-060686 [28]

Answer:

$r\approx 1.084\ feet$

$h\approx 1.084\ feet$

$\displaystyle A=11.07\ ft^2$

Step-by-step explanation:

Optimizing With Derivatives

The procedure to optimize a function (find its maximum or minimum) consists in :

Produce a function which depends on only one variable
Compute the first derivative and set it equal to 0
Find the values for the variable, called critical points
Compute the second derivative
Evaluate the second derivative in the critical points. If it results positive, the critical point is a minimum, if it's negative, the critical point is a maximum

We know a cylinder has a volume of 4 $ft^3$ . The volume of a cylinder is given by

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

Equating it to 4

$\displaystyle \pi r^2h=4$

Let's solve for h

$\displaystyle h=\frac{4}{\pi r^2}$

A cylinder with an open-top has only one circle as the shape of the lid and has a lateral area computed as a rectangle of height h and base equal to the length of a circle. Thus, the total area of the material to make the cylinder is

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

Replacing the formula of h

$\displaystyle A=\pi r^2+2\pi r \left (\frac{4}{\pi r^2}\right )$

Simplifying

$\displaystyle A=\pi r^2+\frac{8}{r}$

We have the function of the area in terms of one variable. Now we compute the first derivative and equal it to zero

$\displaystyle A'=2\pi r-\frac{8}{r^2}=0$

Rearranging

$\displaystyle 2\pi r=\frac{8}{r^2}$

Solving for r

$\displaystyle r^3=\frac{4}{\pi }$

$\displaystyle r=\sqrt[3]{\frac{4}{\pi }}\approx 1.084\ feet$

Computing h

$\displaystyle h=\frac{4}{\pi \ r^2}\approx 1.084\ feet$

We can see the height and the radius are of the same size. We check if the critical point is a maximum or a minimum by computing the second derivative

$\displaystyle A''=2\pi+\frac{16}{r^3}$

We can see it will be always positive regardless of the value of r (assumed positive too), so the critical point is a minimum.

The minimum area is

$\displaystyle A=\pi(1.084)^2+\frac{8}{1.084}$

$\boxed{ A=11.07\ ft^2}$

8 0

2 years ago