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3 years ago

Фhelp me out please im so confused! pleaSE?

Mathematics

1 answer:

Flura [38]3 years ago

6 0

Answer:

Step-by-step explanation:

I can't really tell from the image but it looks like the lines are parallel to each other

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At Southside middle school 40%of student play an instrument.there are 305 student.how many students play an instrument

Nadusha1986 [10]

You simply use this operation:
- total students are 305, we need to find how many of thm play instrumenst if 40% does.
40% can be rewrited as 0,4 in decimal.
than we simply utilise a basic percentage operation which allows us to find A PART of somethin=>
305×0,4= students who instruments.

8 0

4 years ago

Slope and the intercept

Pie

Answer:

y-intercept: (0, 3) slope: 3

Step-by-step explanation:

7 0

3 years ago

What will be the value of

madreJ [45]

The expression as given doesn't make much sense. I think you're trying to describe an infinitely nested radical. We can express this recursively by

$\begin{cases}a_1=\sqrt{42}\\a_n=\sqrt{42+a_{n-1}}\end{cases}$

Then you want to know the value of

$\displaystyle\lim_{n\to\infty}a_n$

if it exists.

To show the limit exists and that $a_n$ converges to some limit, we can try showing that the sequence is bounded and monotonic.

Boundedness: It's true that $a_1=\sqrt{42}\le\sqrt{49}=7$ . Suppose $a_k\le 7$ . Then $a_{k+1}=\sqrt{42+a_k}\le\sqrt{42+7}=7$ . So by induction, $a_n$ is bounded above by 7 for all $n$ .

Monontonicity: We have $a_1=\sqrt{42}$ and $a_2=\sqrt{42+\sqrt{42}}$ . It should be quite clear that $a_2>a_1$ . Suppose $a_k>a_{k-1}$ . Then $a_{k+1}=\sqrt{42+a_k}>\sqrt{42+a_{k-1}}=a_k$ . So by induction, $a_n$ is monotonically increasing.

Then because $a_n$ is bounded above and strictly increasing, the limit exists. Call it $L$ . Now,

$\displaystyle\lim_{n\to\infty}a_n=\lim_{n\to\infty}a_{n-1}=L$

$\displaystyle\lim_{n\to\infty}a_n=\lim_{n\to\infty}\sqrt{42+a_{n-1}}=\sqrt{42+\lim_{n\to\infty}a_{n-1}}$

$\implies L=\sqrt{42+L}$

Solve for $L$ :

$L^2=42+L\implies L^2-L-42=(L-7)(L+6)=0\implies L=7$

We omit $L=-6$ because our analysis above showed that $L$ must be positive.

So the value of the infinitely nested radical is 7.

4 0

3 years ago

A video game is on sale for 25% off. The original price is $42. What is the Discount?

stealth61 [152]

$10.50 gets taken off the original price. I divided $42 by 4 because 25 is 1/4th of 100. This got me $10.50. The original price ($42) minus $10.50 equals $31.50. So the item sells for $31.50!!!!

5 0

3 years ago

If 3 1/2 pounds of bananas cost $1.96, how much would one pound cost?

anygoal [31]

1.96/3.5 = 0.56 for 1 lb

6 0

4 years ago