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gregori [183]
3 years ago
6

Which would be a better estimate of the capacity of the aquarium:40 quarts or 400 quarts?

Mathematics
2 answers:
ale4655 [162]3 years ago
6 0
It would be about 40 quarts for a medium.
lisov135 [29]3 years ago
3 0
I think 40 quarts because 400 quarts is a lot.

Hope that helped:D
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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B4a%20%7B%7D%5E%7B6%7D%20%7D%20%20%5C%3A%20%20%2B%20%20%5Cfrac%7B2%7D%7Ba%2
Mumz [18]

I'm not sure about my answer,but still writing it...

= ³√4a⁶ - 2/a-³ - (a²)3/2

= a² × ³√4 - 2a³ - 3a²/2

Cann't think that it could be futher more evaluted

8 0
3 years ago
Which set of side lengths will form a triangle
Kazeer [188]

Answer:

the set of side lengths will be d

3 0
2 years ago
Plzz anyone solve all answers plzzzzzzzz​
algol13

You posted a lot of problems here. In the future please only post one problem at a time. Thank you.

I'll do the first two problems to get you started. Hopefully it will help you finish off the rest of the questions.

==========================================

Problem 1

{18, a, b, -3} is an arithmetic sequence or arithmetic progression (AP).

This means we have some number d added on to each term to get the next term.

first term = 18

second term = first term + d = 18+d = a

third term = second term + d = (18+d)+d = 18+2d = b

fourth term = third term + d = (18+2d)+d = 18+3d = -3

----

Let's solve that last equation for d

18+3d = -3

18+3d-18 = -3-18

3d = -21

3d/3 = -21/3

d = -7

----

The value d = -7 tells us to add -7 to each term to get the next term. In other words, we subtract 7 from each term to get the next term

first term = 18

second term = first term + d = 18+d = 18+(-7) = 18-7 = 11

third term = second term + d = 11+d = 11+(-7) = 11-7 = 4

fourth term = third term + d = 4+d = 4+(-7) = 4-7 = -3

----

We see that a = 11 and b = 4 are the second and third terms respectively.

Therefore, a+b = 11+4 = 15

-------------

<h3>Answer: 15</h3>

==========================================

Problem 2

A multiple of 4 is in the form 4*n for some integer n, ie n is a whole number.

We want to know which values of 4*n are between 10 and 250.

----

Divide both 10 and 250 by 4 to get the following

10/4 = 2.5

250/4 = 62.5

If n = 2, then 4*n = 4*2 = 8 is not between 10 and 250; however n = 3 will make 4*n = 4*3 = 12 to be between 10 and 250. We see that n = 3 is the smallest possible allowed value.

If n = 62, then 4*n = 4*62 = 248 is between 10 and 250; while n = 63 will make 4*n too big because 4*63 = 252. The largest n can get is n = 62

----

The question posed in question 2 is equivalent to asking the following: "How many values are in the set {3, 4, 5, ..., 60, 61, 62}?"

You could count all of the values in the set, but that exercise is very tedious busywork. There's a much faster way. First lets consider the set below

{a, a+1, a+2, ..., b-2, b-1, b}

where a,b are integers. Basically this set starts at 'a', counts up until we get to 'b'. The handy formula

c = b-a+1

will provide the exact count of values in the set {a, a+1, a+2, ..., b-2, b-1, b}

----

In this case, a = 3 and b = 62, making

c = b-a+1

c = 62-3+1

c = 60

There are 60 values in the set {3, 4, 5, ..., 60, 61, 62}

There are 60 multiples of four that are between 10 and 250.

-------------

<h3>Answer: 60</h3>
4 0
3 years ago
An electrician paid $398.40 total for 1,000 feet of wire.How much does he have to pay per foot a wire?
alexdok [17]

Divide the total spent by the total feet:

$398.40 / 1000 = 0.3984 per foot.

Round the answer as needed.

8 0
2 years ago
In a certain state, there are currently 5,902,060 acres of farmland. This area is decreasing at a rate of 4.3% every year. Selec
Luba_88 [7]

Answer:

y=5,902,060*(.957)^t

Step-by-step explanation:

Since the original amount would be decreasing and it's an exponential one, hence the "every year", we can determine that it's an exponential decay equation.

The exponential delay equation is y=A*(1-r)^t. The y is the remaining amount, A is the original amount, r is the rate in decimal form, and t is for years. "1-r" is for decreasing rates and "1+r" is for increasing rates.

First thing we need to do is turn the rate, 4.3%, from a percentage to a decimal. You can do this by moving the decimal two places to the right, which gives you 0.043.

Now plug the numbers into the equation.

y=5,902,060*(1-0.043)^t

Simplify what's inside the parenthesis and get your final equation.

y=5,902,060*(.957)^t

3 0
3 years ago
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