What is the value of f (x) = x (to the second power)

HELP PLEASE ASAP

Svetach [21]

the sample would be the number polled - 50,000

the population would be all college students

7 0

3 years ago

The sum of 5 consecutive odd numbers is 145. What is the third number in this sequence

vredina [299]

Answer: The 3rd number in the sequence is 29.

Step-by-step explanation: What we have is a sequence of “ODD” numbers and they are consecutive, which means they come one after another with regular intervals. We don’t have any of the numbers but we can start by saying ‘let x represent the first number in the sequence’

With this in mind, we can now assume all other four numbers in the sequence. Therefore if the 1st number is x, the 2nd number would be x + 2, and the the 3rd number would be x + 4, 4th number would be x + 6 while the 5th number would be x + 8.

The reason is that, every odd number is an addition of two to the previous odd number. For instance, if you start with 3, the next odd number would be 3+2 (5), and so on.

Therefore we can now write our consecutive odd numbers as follows;

x + (x + 2) + (x + 4) + (x + 6) + (x + 8)

Remember that all the numbers add up to 145. Therefore,

x + x + 2 + x +4 + x + 6 + x + 8 = 145

5x + 20 = 145

Subtract 20 from both sides of the equation

5x = 125

Divide both sides of the equation by 5

x = 25.

The first odd number is 25, which means the 3rd odd number is 25 + 4.

Therefore the 3rd odd number is 29.

5 0

3 years ago

P, Q, and R are prime numbers such that 3P + 7Q + 15R = 102. What is Q?

77julia77 [94]

Q is 3

Step-by-step explanation:

The prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, ......

They have two factors only 1 and itself
All the them are odd numbers except 2 is an even number
1 is not a prime number because has only one factor

∵ P, Q and R are three prime numbers

∵ 3P + 7Q + 15R = 102

- Factorize 102 into prime numbers

∵ 102 ÷ 2 = 51

∵ 51 ÷ 3 = 17

∴ The prime factorization of 102 is 2 × 3 × 17

∵ 2 , 3 , 17 are prime numbers

- Put them in the equation above to find which one is P and

which is Q and which is R

∵ R has the greatest coefficient, then put R = the smallest prime 2

∵ P has the smallest coefficient, then put P = the greatest prime 17

∴ Q = The last prime 3

- Let us check the value of the left hand side

∵ Left hand side = 3(17) + 7(3) + 15(2) = 51 + 21 + 30 = 102

∵ Right hand side = 102

∴ The prime numbers are P = 17 , Q = 3 , R = 2

Q is 3

Learn more:

You can learn more about the prime numbers in brainly.com/question/4550858

#LearnwithBrainly

8 0

3 years ago

Cos10+cos80/sin10+sin80=1

eduard

Evaluate cos(10)cos10 to get 0.984807750.98480775.0.98480775cos(80)−sin(10)sin(80)0.98480775⁢cos80-⁢sin10⁢sin80Evaluate cos(80)cos80 to get 0.173648170.17364817.0.98480775⋅0.17364817−sin(10)sin(80)0.98480775⋅0.17364817-⁢sin10⁢sin80Multiply 0.984807750.98480775 by 0.173648170.17364817 to get 0.171010070.17101007.0.17101007−sin(10)sin(80)0.17101007-⁢sin10⁢sin80Evaluate sin(10)sin10 to get 0.173648170.17364817.0.17101007−1⋅0.17364817sin(80)0.17101007-1⋅0.17364817⁢sin80Multiply −1-1 by 0.173648170.17364817 to get −0.17364817-0.17364817.0.17101007−0.17364817sin(80)0.17101007-0.17364817⁢sin80Evaluate sin(80)sin80 to get 0.984807750.98480775.0.17101007−0.17364817⋅0.984807750.17101007-0.17364817⋅0.98480775Multiply −0.17364817-0.17364817 by 0.984807750.98480775 to get −0.17101007-0.17101007.0.17101007−0.171010070.17101007-0.17101007Subtract 0.171010070.17101007 from 0.171010070.17101007 to get 0.0

7 0

3 years ago

Can you slove this please

Ket [755]

Answer:

y=85°

p=100°

Step-by-step explanation:

Corresponding Angles Theorem

Alternate Exterior Angles Theorem

7 0

3 years ago

What is the value of f (x) = x (to the second power) - 6 evaluated for x = -2?