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Soloha48 [4]
3 years ago
12

PLEASE HELP!!

Mathematics
2 answers:
Andre45 [30]3 years ago
8 0

Answer:

I think the answer is c

Step-by-step explanation:

Because it says at most? am I right

Afina-wow [57]3 years ago
5 0

Answer: 2w+2 x (4w) _< 106

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Perimeter of a rectangle: 2w +2L </em>

Where:

w: width

L : length

So, if the length of a rectangle is four times its width, it means that  

L = 4 w

Replacing with the new value of "L":

Perimeter: 2w + 2(4w)

The perimeter is at most 106, at most means equal or lower than. So:

2w+2 x (4w) _< 106

You might be interested in
Simplify this expression:<br> i ^257
Katarina [22]
Okay! 
What is i? 
i = <span>√(-1)

What is i^2? 
i^2 = </span>√(-1) * <span>√(-1) 

Note: Whenever you multiply two square roots with the same numbers you get this: 

</span><span>√(a^2)
</span>
Or in this case: 

√(-1 * -1) = -<span>√(1) = -1
</span>
So, 
i^2 = -1

What does i^3 equal? 
i^3 = √(-1) * √(-1) * √(-1) = 1 * √(-1) = <span>√(-1) which is... -i
</span>
What does i^4 equal? 
i^4 = √(-1) * √(-1) * √(-1) * √(-1) =  √(-1 * -1 * -1 * -1) = 1

After that the cycle does it thing and cycles back. 
So, with this information we can figure out what i^157 equals. 

Knowing long division here helps a lot!
Take 157 and divide it by 4 using long division. If you don't know it, I'll show you how to do it to the best of my abilities. (Refer to the picture. If you have any questions about it then ask. Even if the question is... what does this say?) 

After using long division we see that we get: 
39 with a remainder of 1. 

What that means is: 
(i^4)^39 is what we have. The remainder of 1 means that we have 1 i left. So our answer is i. 

The reason we divided by 4 and not some other term is because i^4 = 1, so it is easy to work with. In this case (i^4)^39 still just equals 1. Which leaves our remainder as our answer. 

So once again the final answer is: 
i

As for i^257. I'll show you the answer, but I won't give the work for this one. I'd recommend you try it out for yourself. 

i^257 = (i^4)^64 * i = i.

I hope that I helped, and if you have any further questions then ask away! 


8 0
2 years ago
Suppose that a worker in Country A can make either 10 iPods or 5 tablets each year. Country A has 100 workers. Suppose a worker
andre [41]

Answer:

A bundle of goods that Country A has are 1000 iPods and 500 Tablets.

Step-by-step explanation:

Country A can produce either  iPods and Tablets.

Total man power  Country A has 100 workers.

As per information in the question w

100 worker make either ipod or 100 worker make tablets

1 worker can produce 10 iPods.

Therefore

100 workers can produce (100 * 10) = 1000 iPods.

on the other hand

1 worker can produce 5 tablets.

Therefore

100 workers can produce (100 * 5)=  500 Tablets

Thus,

A bundle of goods that Country A has are 1000 iPods and 500 Tablets.

8 0
2 years ago
Suppose y = 2x + 1 , where x and y are functions of t. (a) if dx/dt = 3, find dy/dt when x = 4. dy dt = (b) if dy/dt = 2, find d
qwelly [4]

Answer:

Step-by-step explanation:

If y = 2x + 1, then dy/dt = 2(dx/dt).

If y = 2x + 1, then y = 2(40) + 1 when 40 is substituted for x.  y = 81.

(a) if dx/dt = 3, find dy/dt when x = 4:

       Replacing dx/dt with 3 in dy/dt = 2(dx/dt) yields dy/dt = 2(3) = 6.

(b) if dy/dt = 2, find dx/dt when x = 40:

        Replacing dy/dt with 2 in dy/dt = 2(dx/dt) results in 2 = 2(dx/dt), so dx/dt must be 1.

3 0
2 years ago
How many modes, if any, does the group of data have?
Olin [163]

Answer:

5.338401847392900e1395%377846Q9

Step-by-step explanation:

4 0
3 years ago
Help me with this!!!
r-ruslan [8.4K]
1
4
3
2
that’s the order
5 0
2 years ago
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