What is the square root of 14x15

Answers

Answer 1
Answer: √(14\cdot15)=√(2\cdot7\cdot3\cdot5)=\n\vdots\ Any\ number\ does\ not\ repe at\ \vdots\n\n=√(210)\n\n\n√(210)\approx14.4914
Answer 2
Answer: well I know 14 times 15 = 210 but I cant tell what is a square root since I am just in 4th grade.

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32) Identify the turning point of the function f(x)= x^2-2x+8 by writing its equation in vertex form. Show your work.

Answers

(1,7)

Working;
Start by finding the derivative of the function f(x);
f^(') (x)=2x-2
Turning points occur when the derivative function=0;
Thus
2x-2=0
x=1
when x=1 then
f(1)=1^(2) -2(1)+8
=7
Turning point then is (1,7)

What is 9/12 simplified?

Answers

You have to find what number goes into both numbers 
9/12= 3/4
you have to find what number goes into both top and bottom of the fraction...
3
9/3 = 3
12/3 = 4
9/12 = 3/4
Hope this helps :)

Factor the GCF: −6m2 + 18m − 36.−6(m2 − 3m + 6)
−1(6m2 − 18m + 36)
−6m(m2 − 3m + 6)
−6(m2 + 3m − 6)

Answers

The first option is the right one.

You have to find the greates common divisor of the coefficientes, which is -6 and then divide each momomial with lead to: -6 (m^2 + -3m + 6).

You can verifiy the result by multiplying -6 times the polynomial inside the parenthesis, using the distributive property.

Answer:

The first one is the right one i just took the test

Step-by-step explanation:

A ball is thrown vertically upwards from a height of 6 feet with an initial velocity of 40 feet per second. How high will the ball go? Note that the acceleration of the ball is given by feet per (second)2. Round your answer to the four decimal places.

Answers

Answer:

The maximum height that the ball reaches is sf = 31 feet from the ground

Step-by-step explanation:

Solution:-

- A ball is thrown vertically upwards from an initial elevation of si = 6 feet from the ground.

- The velocity with which the ball was thrown up, vi = 40 ft/s

- We can determine the maximum height of the ball when it is thrown vertically up by using the 3rd kinematic equation of motion.

                      vf^2 - vi^2 = 2*g*( sf - si )

Where,

vf : The final velocity of the ball, for maximum height it is = 0

sf : The final height of the ball from the ground

g : Gravitational constant = -32 ft/s^2

                      0 - 40^2 = -2*32*( sf - 6 )

                      sf - 6 = 25

                      sf = 31 feet

- The maximum height that the ball reaches is sf = 31 feet from the ground.

In a class, there are io boys and 15 girls. three students are selected at random. The probability that the selected students are 1 boy and 2 girls, is options: a. 25/36 b. 18/23 c. 21/46 d. 1/32

Answers

Answer:

Step-by-step explanation:

Correct option is C)

There are 15 boys and 10 girls in a class

We have to select 3 students such that there should be 1 girl and 2 boys

The number of ways we can select 3 students is  

25C3=2300

The number of ways we can select 3 students such that there is 1 girl and 2 boys  is 15×7×10=1050

The probability is 1050/2300 =21/46

Therefore the correct option is C

Final answer:

finding the number of combinations for the desired scenario and the total possible combinations, we find that the probability is 21/46.

Explanation:

In order to solve this problem, we need to apply the principles of combinatorics and probability. The total number of students in the class is 25 (10 boys and 15 girls). Firstly, let's calculate the combinations for the scenario of selecting 1 boy out of 10. This can be done by 10C1 resulting in 10 possibilities. Secondly, let's calculate the combinations of selecting 2 girls out of 15, which is 15C2 and gives us 105 possibilities.

Multiply those together to find the total scenario we're interested in, which is 1,050. The total possible combinations of selecting 3 students out of 25 irrelevant of gender would be 25C3, resulting in 2,300 possible combinations.

Therefore, the probability that the selected students are 1 boy and 2 girls is 1,050/2,300. Simplifying this fraction gives us 21/46.

Learn more about Combinatorics and Probability here:

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The scatter plot shows the ages of children and how many stuffed animals they own.What is the range of ages for the cluster?

Answers

the answer is 8 to 10 that is the range of ages for the cluster