Using the powers of 10, which would be the first to subtract when 742 divided by 61?

A closed cylindrical can of fixed volume V has radius r.a) Find the surface area, S, as a function of r.b) What happens to the v

andrey2020 [161]

Answer:

Step-by-step explanation:

This question is incomplete; here is the complete question.

A closed cylindrical can of fixed volume V has radius r. (a) Find the surface area, S, as a function of r. (b) What happens to the value of S approaches to infinity? (c) Sketch a graph of S against r, if V=10 cm³.

A closed cylindrical can of volume V is having radius r and height h.

a). Surface area of a cylinder is given by

S = 2(Area of the circular sides) + Lateral area of the can

S = 2πr² + 2πrh

S = 2πr(r + h)

b). Since surface area is directly proportional to radius of the can

S ∝ r

Therefore, when r approaches to infinity (r → ∞)

c). If V = 10 cm³ Then we have to graph S against r.

From the formula V = πr²h

10 = πr²h

h = $\frac{10}{\pi r^{2}}$

By placing the value of h in the formula of surface area,

S = $2\pi r(r+\frac{10}{\pi r^{2}})$

Now we can get the points to plot the graph,

r -2 -1 0 1 2

S -13.72 -13.72 0 26.28 35.13

7 0

3 years ago

Select all ratios equivalent to 22:10. 11:5 110:50 33:15

saveliy_v [14]

Answer:

All the 3 choices are correct.

Step-by-step explanation:

11:5 11 divided by 22 is 1/2 and 5/10 is 1/2

110/50 110 divided by 22 is 5 and 50 divided by 10 is 5

33/15 33 divided by 22 is 1 1/2 and 15 divided by 10 is 1 1/2

5 0

3 years ago

Read 2 more answers

Of those women who are diagnosed to have early-stage breast cancer, one-third eventually die of the disease. Suppose a screening

Finger [1]

Answer:

A) Alternative hypothesis; Ha: p_o > ⅔

B) Null hypothesis;

H0: p_o = ⅔

C) There is sufficient evidence to support the claim that the community screening programme was effective

D) p-value = 0

Its less than the significance value and so we will reject the null hypothesis and conclude that the community screening programme was effective

Step-by-step explanation:

A) We are told that ⅓ of those diagnosed eventually die of the disease. Thus, ⅔ is the fraction that will survive the disease.

Thus, the null hypothesis is;

H0: p_o = ⅔

We are told that a screening programme was started to increase the survival rate. Thus,the alternative hypothesis is;

Ha: p_o > ⅔

B) null hypothesis is;

H0: p_o = ⅔

C) 164 out of the 200 women selected survived the disease.

Thus sample proportion is;

p^ = 164/200

p^ = 0.82

For the z-score value, we will use the formula;

z = (p^ - p_o)/√((p_o(1 - p_o)/n)

Now, p_o = ⅔ = 0.67

Thus;

z = (0.82 - 0.67)/√((0.67(1 - 0.67)/200)

z = 4.51

From online p-value from z-score calculator, we have p-value ≈ 0

This is less than the significant level of 0.05 and therefore we will reject the null hypothesis and conclude that the community screening program was effective.

D) p-value ≈ 0

Reject the null hypothesis

4 0

2 years ago

The prefix octa-means what?

yuradex [85]

The prefix means 8.How to remember this is a octagon which has 8 sides.Therefore Octa means eight.I hope this helped.

3 0

3 years ago

Read 2 more answers

4x(x-25)=0 how to solve the quadratic equations using any of the four methods?

butalik [34]

Answer:

x=25 or x=0

Step-by-step explanation:

4x(x−25)=0

Step 1: Simplify both sides of the equation.

4x2−100x=0

For this equation: a=4, b=-100, c=0

4x2+−100x+0=0

Step 2: Use quadratic formula with a=4, b=-100, c=0.

x=−b±√b2−4ac over 2a

x=−(−100)±√(−100)2−4(4)(0) over 2(4)

x=100±√10000 over 8

x=25 or x=0

7 0

3 years ago