Ok heres the first one

Mathematics

2 answers:

Dima020 [189]3 years ago

6 0

Answer:

The answers are 1/10 and 3/5

Step-by-step explanation:

Hope this helps :))

eduard3 years ago

3 0

Answer:

It's 1 lap every 10 minutes, so 1/10

Step-by-step explanation:

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A morning truck can carry no more than 1480 pounds of cargo. Brian loaded 640 pounds into the truck already. He is loading boxes

guajiro [1.7K]

Given :

A morning truck can carry no more than 1480 pounds of cargo.

Brian loaded 640 pounds into the truck already.

He is loading boxes that weigh 70 pounds.

To Find :

How many boxes can he out into the truck.

Solution :

Weight left for carrying cargo, W = 4180 - 640 pounds

W = 3540 pounds

Number of boxes of 70 pounds cargo he can carry in truck is :

$n =\dfrac{3540}{70}\\\\n = 50.57$ ≈ 50 .

Therefore, number of box they can carry is 50.

Hence, this is the required solution.

8 0

3 years ago

Examine the pattern in the powers of i you wrote in the table, and create a rule for finding the value of large powers of i. Jus

denpristay [2]

Let $N$ be any integer. Then

$i^N=\begin{cases}1&\text{if }N\equiv0\mod4\\i&\text{if }N\equiv1\mod4\\-1&\text{if }N\equiv2\mod4\\-i&\text{if }N\equiv3\mod4\end{cases}$

In other words:

(1) If $N$ is a multiple of 4, then $i^N=1$ .

(2) If dividing $N$ by 4 leaves a remainder of 1, then $i^N=i$ , since $i^N=i^{4n+1}$ for some integer $n$ , and from (1) we know that $i^{4n+1}=i^{4n}i=i$ (because, obviously, $4n$ is a multiple of 4).

(3) If instead you get a remainder of 2, then $i^N=-1$ . This follows from (1) as well. $i^N=i^{4n+2}=i^{4n}i^2=(1)(-1)=-1$ .

(4) Finally, if you get a remainder of 3, then $i^N=i^{4n+3}=i^{4n}i^2i=(1)(-1)(i)=-i$ .