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3 years ago

Make a conjecture about the next number in the sequence 5, 7, 11, 17, 25....

Mathematics

1 answer:

Vikentia [17]3 years ago

4 0

The pattern adds 2 to the sequence every time. 5 -> 7 (+2), 7-> 11 (+4), 11 -> 17 (+6), 17-> 25 (+8), ..........

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What is the slope of the line

vfiekz [6]

Answer: 3

You can find slope by using the 'rise over run' method. Find 2 clear points and count the number of units between those points, across the x axis and up the y axis. You should have 3/1 (y/x) as your slope.

6 0

3 years ago

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Question 10: If the product of all the numbers from 1 to 100 is divisible by 2^n, then what is the maximum possible value for n:

Klio2033 [76]

Answer: D

Step-by-step explanation:

100!=2*3*4*...*100

Counting which numbers are divisible by 2:

2,4,6,8,10,12,14,...,96,98,100 : 50 numbers (100/2=50)

Counting which numbers are divisible by 4=2²:

4,8,12,16,20,...96,100: 25 numbers (100/4=25)

Counting which numbers are divisible by 8=2³:

8,16,24,32,40,...,96: 12 numbers (100/8=12.5 ==> 12)

Counting which numbers are divisible by 16=2⁴:

16,32,48,...,96: 6 numbers (100/16=6.25 ==> 6)

Counting which numbers are divisible by 32=2⁵:

32,64,96 : 3 numbers(100/32=3.125 ==>3)

Counting which numbers are divisible by 64=2⁶:

64 : 1 number (100/64=1.5625 ==>1)

Sum of those numbers= 50+25+12+6+3+1=97

100! is divisible by 2⁹⁷.

Answer D

4 0

3 years ago

Read 2 more answers

In the function f(t) = sin(t), what is the effect of multiplying t by a coefficient of 2?

liubo4ka [24]

Answer:

"changes the period to pi"

Step-by-step explanation:

f(t) = Sin(t),

Here, t is the period, by definition.

Multiply t by a number that is GREATER THAN 1, makes the period shorter and compressed.

Multiplying t by a number that is between 0 and 1 makes the period expanded.

For the first, if we multiply the period by a, the period becomes $\frac{2\pi}{a}$

Since the problem tells us to multiply by 2, we know the period becomes compressed and becomes :

$\frac{2\pi}{2}=\pi$

Third answer choice is right.

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3 years ago

What is the slope for this graph?

sergeinik [125]

Answer:

the slope is 1

Step-by-step explanation:

you could just leave it as x in the equation

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3 years ago

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Circular flower bed is 17 m in diameter and has a circular 2 around it is that to meters wide find the area of the sidewalk in s

nata0808 [166]

Answer:

Step-by-step explanation:

The area of a circle split you diameter which is 8.5 then you square it equals 72.25 then you times it 3.14 =226.865 I think

8 0

4 years ago