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2 years ago

I don’t understand the question above... pls give step by step explanation...

Mathematics

2 answers:

kirill115 [55]2 years ago

6 0

Answer:

This is a linear function because the power of x is 1. Because of the +40 it's not a proportional relationship (they are in the form y = kx but the given equation is not) so the answer is the second option.

barxatty [35]2 years ago

6 0

Answer:

The second option

Step-by-step explanation:

it is in the form y=mx+b, so it's linear

Also, it's non-proportional for that reason

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A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius 9 cm. Find the volume of th

masya89 [10]

The volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

The volume is the total space occupied by an object.

The volume of a sphere of radius r units is given as (4/3)πr³.

The volume of a cylinder with radius r units and height h units is given as πr²h.

In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.

The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.

Therefore, the volume of the ring-shaped remaining solid is given as,

= (4/3)π(9)³ - π(5)²(18) cm³,

= π{972 - 400} cm³,

= 572π cm³,

= 1796.99 cm³ ≈ 1797 cm³.

Therefore, the volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

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1 year ago

From a group of 13 women and 12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can

Fantom [35]

The total number of ways the study can be selected is: 637065

Given,

Total number of women in a group= 13

Total number of men in a group = 12

Number of women chosen = 8

Number of men chosen = 8

∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.

This in the form of combination factor = nCr

∴ nCr = n!/(n₋r)! r!

13C₈ = 13!/(13 ₋ 8)! 8!

= 13!/5!.8!

= 1287

12C₈ = 12!/(12₋8)! 8!

= 12!/5! 8!

= 495

Now multiply both the combinations of men and women

= 1287 × 495

= 637065

Hence the total number of ways the study group is selected is 637065

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2 years ago

The consistency of repeated measurement, often expressed by the number of decimal places, is called a measurement's ______.

melisa1 [442]

The consistency of repeated measurement, often expressed by the number of decimal places, is called a measurement's precision.

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3 years ago

You buy 4 bags of sand and 3 bags of pea gravel for $24. In a second purchase (at the same prices), you buy 2 bags of sand for $

Kazeer [188]

Answer:

x = $3

y = $4

Step-by-step explanation:

We need to know the prices of gravel and peas. We can find the price by using equations and graphing them.

Let X be the price of the sand

Be and the price of pea gravel

In the first purchase we have:

$4x + 3y = 24$

In the second purchase we have

$2x = 6$

Both relations represent the equation of a line. In the graphic shown, these lines are drawn. In this case the interception between both lines represents the price of each product, and the solution of the problem. You can see that the lines intersect at point (3 4). This means that the price of each bag of sand is $ 3, and the price of a bag of pea gravel is $ 4.

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3 years ago

Please help me i need this right now!! Also if you can please add attachment of your work but if not that is totally oK

Readme [11.4K]

Answer: 10^2

Step-by-step explanation:

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3 years ago