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3 years ago

How many more students read for 2/4 of an hour than for 1 3/4 hours

Mathematics

1 answer:

sukhopar [10]3 years ago

3 0

Answer:you need to give the data we cant give a answer without a graph or something to base those numbers on.

Step-by-step explanation:

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Graph the line with: a slope of -5 and y intercept of 4. PLEASE HELP

worty [1.4K]

The y intercept of 4 means the graph crosses the vertical y axis at 4. More specifically this location is (0,4)

Start at (0,4) and move down 5 units and then move to the right 1 unit. You should arrive at (1,-1). The movement rule of "down 5, over to the right 1" is taken exactly from the slope of -5 = -5/1.

After plotting the two points (0,4) and (1,-1), draw a straight line through them both. Extend this line as far as you can in either direction. The graph is now completed.

<h3>In summary, this line goes through (0,4) and (1,-1)</h3>

Side note: The equation of this line is y = -5x+4. It is in slope intercept form.

5 0

2 years ago

Find the general term of {a_n}

Assoli18 [71]

From the given recurrence, it follows that

$a_{n+1} = 2a_n + 1 \\\\ a_{n+1} = 2(2a_{n-1} + 1) = 2^2a_{n-1} + 1 + 2 \\\\ a_{n+1} = 2^2(2a_{n-2}+1) + 1 + 2 = 2^3a_{n-2} + 1 + 2 + 2^2 \\\\ a_{n+1} = 2^3(2a_{n-3} + 1) + 1 + 2 + 2^2 = 2^4a_{n-3} + 1 + 2 + 2^2 + 2^3$

and so on down to the first term,

$a_{n+1} = 2^na_1 + \displaystyle \sum_{k=0}^{n-1}2^k$

(Notice how the exponent on the 2 and the subscript of a in the first term add up to n + 1.)

Denote the remaining sum by S ; then

$S = 1 + 2 + 2^2 + \cdots + 2^{n-1}$

Multiply both sides by 2 :

$2S = 2 + 2^2 + 2^3 + \cdots + 2^n$

Subtract 2S from S to get

$S - 2S = 1 - 2^n \implies S = 2^n - 1$

So, we end up with

$a_{n+1} = 4\cdot2^n + S \\\\ a_{n+1} = 2^2\cdot2^n + 2^n-1 \\\\ a_{n+1} = 2^{n+2} + 2^n - 1 \\\\\implies \boxed{a_n = 2^{n+1} + 2^{n-1} - 1}$

5 0

2 years ago

What does fewer than mean

Art [367]

Answer:

Fewer than means that something is less than another thing. For example, the number 2 is fewer than the number 4. There's also this cool symbol that you can use instead of writing the words 'fewer than'. You could say for example 2<4. A fun way to remember which way the symbol points is to imagine it like an alligator, the number 2 is trying to eat the number 4 to grow!

Step-by-step explanation:

Hope this helps!

7 0

2 years ago

Is the value of the first 4 ten times as great as the value of the second 4 in 4,043? Explain. What can you generalize about the

Ira Lisetskai [31]

As per the the question we need to calculate the value of first 4 multiplied by 10.

Now in the number 4,043, the first 4 is at the thousands place. So the place value of first 4 in the digit 4,043 is 4000.

Multiplying the value of first 4 by 10 we get:

$4000 \times 10=40,000$

Now, the second 4 in the digit 4,043 is at the tens place. So the place value of second 4 in the digit 4,043 is 40.

We can see that two of them are not equal and the value of first 4 times ten is far greater than the value of second 4.

It can be said that two of the 4s in the digit 4,043 are at two different places, first is at thousands place and second is at tens place. So if the numbers are two places apart their place value will have difference of 100 folds.

5 0

3 years ago

Please help, I'll mark brainliest.

GREYUIT [131]

I'm almost certain it's C :)

8 0

2 years ago