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3 years ago

Question 7: e math instruction, can u guys help me?

Mathematics

1 answer:

eimsori [14]3 years ago

6 0

A) n(0) = 20 because n(0) = 20(2)^0 and anything to the power 0 is 1. The reason that any number to the zero power is 1 is because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1

Thus, n(0) = 20(1) = 20. In terms of the situation, if 0 days have passed since Monday, 20 people know about the rumor.

b) n(-2) = 20(2)^-2 = 20* 1/(2^2)
=20/(2^2) = 20/4 = 5.

In terms of the situation, two days before Monday, 5 people know the rumor.

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1) Is 4,560 divisible by 2, 3, 5 or 10? Explain your rea easoning,

soldier1979 [14.2K]

$Question$

Is 4,560 divisible by 2, 3, 5 or 10?

Answer:

The Correct Answer Is 5

4560 is divisible by 5 if 4560 divided by 5 results in a whole number with no remainder.

You may also be interested to know that 4.560 divided by 5 is 912.

note that the last digits of any number must end with 0 or 5 to be divisible by 5

Hope this helps!!

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5 0

3 years ago

(2a + 15ab) - (7a + 6b - 10ab)

lina2011 [118]

Answer:

5a+25ab-6b

Step-by-step explanation:

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6 0

3 years ago

John has a sink that is shaped like a half-sphere. The sink has a volume of 1072 in?. One

hodyreva [135]

Answer:

Anthony must scoop out of the sink 85 cups of water to empty it

Step-by-step explanation:

The formula of the volume of a sphere is  $V=\frac{4}{3}\pi r^{3}$  , where r is its radius

The formula of the volume of a cylinder is V = πr²h, where r is the radius of its base and h is its height

∵ The sink is shaped like a half-sphere

∵ The sink has a volume of 1072 in³

∵ One cup has a diameter of 2 in

- The radius is half the diameter

∴ The radius of the cup = $\frac{1}{2}$ × 2 = 1 in.

∵ The height of the cup is 4 in

- Find the volume of the cup using the 2nd formula above

∴ V = π(1)²(4) = 4π in³

To find the number of cups that Anthony use to scoop out of the sink to empty it divide the volume of the sink by the volume of the cup

∵ The volume of the sink = 1072 in³

∵ The volume of the cup = 4π in³

∴ The number of the cups = 1072 ÷ 4π

∴ The number of the cups = 85.3070495

- Round it to the nearest whole number

∴ The number of cups is 85

Anthony must scoop out of the sink 85 cups of water to empty it

8 0

4 years ago

Verify the identity

Igoryamba

Answer:

We have to prove

sin⁡(α+β)-sin⁡(α-β)=2 cos⁡ α sin ⁡β

We will take the left hand side to prove it equal to right hand side

So,

=sin⁡(α+β)-sin⁡(α-β) Eqn 1

We will use the following identities:

sin⁡(α+β)=sin⁡ α cos⁡ β+cos⁡ α sin⁡ β

and

sin⁡(α-β)=sin⁡ α cos ⁡β-cos ⁡α sin ⁡β

Putting the identities in eqn 1

=sin⁡(α+β)-sin⁡(α-β)

=[ sin⁡ α cos ⁡β+cos⁡ α sin⁡ β ]-[sin⁡ α cos ⁡β-cos ⁡α sin ⁡β ]

=sin⁡ α cos⁡ β+cos⁡ α sin ⁡β- sin⁡α cos⁡ β+cos ⁡α sin ⁡β

sin⁡α cos⁡β will be cancelled.

=cos⁡ α sin ⁡β+ cos ⁡α sin ⁡β

=2 cos⁡ α sin ⁡β

Hence,

sin⁡(α+β)-sin⁡(α-β)=2 cos ⁡α sin ⁡β

8 0

3 years ago

There are 25 students in Laura's class, and 21 of the students went on the class trip to the zoo. What percentage of students we

BlackZzzverrR [31]

Since there are 25 students and there’s 21 at the zoo you would end up having 21 out of 25 and 21 out of 25 as a percentage is 84% because you have to look at 25 as a whole and that whole would be 100% so 84 out of 100% is equal to 21 out of 25

7 0

3 years ago

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