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4 years ago

Which case would be the most appropriate

Mathematics

1 answer:

AleksAgata [21]4 years ago

4 0

Answer:

Case (c) will be the most appropriate for a drum with a volume of 14,000 cm³

Step-by-step explanation:

The drum is in the shape of cylinder so, we will calculated its volume using formula : V = πr²h , where r is radius of cylinder and h is height of cylinder.

In case (a) Given height is 300mm ( 30 cm ) and diameter is 200mm ( 20 cm )

so, radius ( r ) is calculated as d/2

r = 20/2

r = 10 cm

so, volume is V = πr²h = (3.14)*(10)²*30 = 9420 cm³

In case (b) Given height is 30 cm and diameter is 400mm ( 40 cm )

so, radius ( r ) is calculated as d/2

r = 40/2

r = 20 cm

so, volume is V = πr²h = (3.14)*(20)²*30 = 37680 cm³

In case (c) Given height is 250mm ( 25 cm ) and diameter is 32 cm

so, radius ( r ) is calculated as d/2

r = 32/2

r = 16 cm

so, volume is V = πr²h = (3.14)*(16)²*25 = 20096 cm³

Hence, the case (c) will be the most appropriate for a drum with a volume of 14,000 cm³

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Plz help will give brainliest

ryzh [129]

Answer:

1.275

Explanation:

The given equation is:

f(x) = 0.01(2)ˣ

We want to find the rate of change from 2 to 10 which means that we need to find the slope from 2 to 10.

We start by getting the y-values for each of the given x-values:

at x = 2 ..........> y = 0.01(2)² = 0.04 ...........> point is (2, 0.04)

at x = 10 .........> y = 0.01(2)¹⁰ = 10.24 .........> point is (10, 10.24)

Now, we get the slope as follows:

slope =

Hope this helps :)

3 0

3 years ago

Read 2 more answers

A study conducted at a certain college shows that 6868% of the school's graduates find a job in their chosen field within a ye

PolarNik [594]

Answer: Hello mate!

each school graduate has a 68% to find a job in their chosen field within a year after graduation.

And we want to know the probability for a randomly chosen group of 11 graduates to all get a job in their area within a year of graduating.

(you used the numbers 6868% and 1111, I am assuming that you write this wrong and repeated the numbers)

Ok! so each of the 11 students has the same probability of 0.68 to find the job. Then the joint probability for the 11 events ( where the events is that each one finds a job) is the product of the probability for each one.

P = (0.68)^11 = 0.01437

and if we round it to the nearest thousandth we get:

p = 0.014

3 0

3 years ago

Plz answer this questoin! will give brainliest!

Rufina [12.5K]

Answer:

25,

8:5

4:3

Step-by-step explanation:

you have to model it as a system of equations.

first, we know there are a total of 65 children, boys and girls. so

$65 = b + g$

we also know there are 15 more boys than girls so

$b = g + 15$

now, we can plug the second equation into the first to get

$65 = (g+15)+g$

$2g = 50, g = 25$

if g = 25, b must = 40, because it is g+15.

the ratio will be 40 boys to 25 girls. 40:25 or 8:5 if you simplify.

if there are 5 more girls, g = 25+5 = 30, so the ratio is 40:30 or 4:3.

3 0

4 years ago

Read 2 more answers

How many solutions does this equation have

larisa86 [58]

Answer:

Two solutions

Step-by-step explanation:

This is a quadratic equation in the form y = ax² + bx + c.

For quadratic equations, you can find solutions using the quadratic formula:

$x = \frac{-b±\sqrt{b^{2}-4ac}}{2a}$ .

To find the number of solutions, you only need what's inside the square root. We call it the "discriminant" because lets us know the number of solutions without solving.

$b^{2}-4ac$

If b²- 4ac > 0, two solutions. (greater than)

If b²- 4ac < 0, no solutions. (less than)

If b²- 4ac = 0, one solution. (equal to)

y = ax² + bx + c

y = -3x² + x + 12

a = -3 b = 1 c = 12

Substitute into the discriminant

b²- 4ac

= 1² - 4(-3)(12)

= 1 - (-144)

= 145 > 0

b²- 4ac > 0 Discriminant greater than 0

Therefore, there are two solutions.

7 0

3 years ago

What two numbers give you -42 and 1 ? This is 10 points, please answer!!

liberstina [14]

$- 6 \times 7 = - 42 \\ - 6 + 7 = 1$

7 0

3 years ago