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sdas [7]
3 years ago
14

What was the range of the snowfall in Denver?

Mathematics
2 answers:
kifflom [539]3 years ago
7 0

7.6 because i said so.

Mama L [17]3 years ago
4 0
9.2 - 4.8 Your answer is 4.4
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Solve 2x2 – 3x = 12 using the quadratic formula.
icang [17]

Quadratic Formula: (-b +/- sqrt(b^2 - 4ac)) / 2a

2x^2 - 3x = 12

2x^2 - 3x - 12 = 0

a = 2

b = -3

c = -12

(--3 +/- sqrt( (-3)^2 - 4(2)(-12) )) / 2(2)

3 +/- sqrt( 9 + 96 ) / 4

3 +/- sqrt(105) / 4

Answers: \frac{3 + \sqrt{105} }{4}, \frac{3 - \sqrt{105} }{4}

Hope this helps!

8 0
3 years ago
Can someone help me with this please? I don't know how to do it, and I need the answer asap ;-; (Image Below)
Marizza181 [45]

Answer:

ma'am or sir... there is no picture attached... but whats the question?

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A plant measured x inches tall last week and 8 inches tall this week. Represent the number of inches the plant grew
uranmaximum [27]
To find out how many inches were gained, solve it with the expression 8 - x.
3 0
3 years ago
Read 2 more answers
Let $s$ be a subset of $\{1, 2, 3, \dots, 100\}$, containing $50$ elements. how many such sets have the property that every pair
Tamiku [17]

Let A be the set {1, 2, 3, 4, 5, ...., 99, 100}.

The set of Odd numbers O = {1, 3, 5, 7, ...97, 99}, among these the odd primes are :

P={3, 5, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}

we can count that n(O)=50 and n(P)=24.

 

 

Any prime number has a common factor >1 with only multiples of itself.

For example 41 has a common multiple >1 with 41*2=82, 41*3=123, which is out of the list and so on...

For example consider the prime 13, it has common multiples >1 with 26, 39, 52, 65, 78, 91, and 104... which is out of the list.

Similarly, for the smallest odd prime, 3, we see that we are soon out of the list:

3, 3*2=6, 3*3=9, ......3*33=99, 3*34=102.. 

we cannot include any non-multiple of 3 in a list containing 3. We cannot include for example 5, as the greatest common factor of 3 and 5 is 1.

This means that none of the odd numbers can be contained in the described subsets.

 

 

Now consider the remaining 26 odd numbers:

{1, 9, 15, 21, 25, 27, 33, 35, 39, 45, 49, 51, 55, 57, 63, 65, 69, 75, 77, 81, 85, 87, 91, 93, 95, 99}

which can be written in terms of their prime factors as:

{1, 3*3, 3*5, 3*7, 5*5,3*3*3, 3*11,5*7, 3*13, 2*2*3*3, 7*7, 3*17, 5*11 , 3*19,3*21, 5*13, 3*23,3*5*5, 7*11, 3*3*3*3, 5*17, 3*29, 7*13, 3*31, 5*19, 3*3*11}

 

1 certainly cannot be in the sets, as its common factor with any of the other numbers is 1.

3*3 has 3 as its least factor (except 1), so numbers with common factors greater than 1, must be multiples of 3. We already tried and found out that there cannot be produced enough such numbers within the set { 1, 2, 3, ...}

 

3*5: numbers with common factors >1, with 3*5 must be 

either multiples of 3: 3, 3*2, 3*3, ...3*33 (32 of them)

either multiples of 5: 5, 5*2, ...5*20 (19 of them)

or of both : 15, 15*2, 15*3, 15*4, 15*5, 15*6 (6 of them)

 

we may ask "why not add the multiples of 3 and of 5", we have 32+19=51, which seems to work.

The reason is that some of these 32 and 19 are common, so we do not have 51, and more important, some of these numbers do not have a common factor >1:

for example: 3*33 and 5*20

so the largest number we can get is to count the multiples of the smallest factor, which is 3 in our case.

 

By this reasoning, it is clear that we cannot construct a set of 50 elements from {1, 2, 3, ....}  containing any of the above odd numbers, such that the common factor of any 2 elements of this set is >1.

 

What is left, is the very first (and only) obvious set: {2, 4, 6, 8, ...., 48, 50}

 

<span>Answer: only 1: the set {2, 4, 6, …100}</span>

8 0
3 years ago
Find an equation of the line described below. Write the equation in slope-intercept form (solved for y), when possible.
SCORPION-xisa [38]

The equation of the line in slope-intercept form would be y = m(x - 1/5) - 8.

<h3>What is slope intercept form a straight line?</h3>

The slope-intercept form of a straight line is used to get the equation of a line. We need to know the slope of the line and the intercept where the line crosses the y-axis in order to use the slope-intercept formula.

One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope-intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfills.

Since the slope is undefined in the given question, let us consider it as m.

Therefore, slope=m

Given points are 1/5 and -8, so x₁ = 1/5 and y₁ = -8

We know the formula is, y - y₁ = slope × (x - x₁)

Putting the values of x₁, y₁ and slope in the given formula we get,

y -(-8) = m × (x-1/5)

y = m(x-1/5) - 8

Hence, we get the required equation.

To learn more about slope intercept form, visit:

brainly.com/question/9682526

#SPJ13

8 0
1 year ago
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