Answer:
The least common multiple of 6, 15 and 40 is <u>120</u>.
The least common multiple of 32, 48 and 72 is <u>288</u><u>.</u>
The LCM of 20 and 24 is <u>120</u>.<em> </em>
The LCM of 30 and 90 is <u>90</u>.
The LCM of 150 is <u>900</u>.
Step-by-step explanation:
<u>Steps to find LCM</u>
- Find the prime factorization of 150. 150 = 2 × 3 × 5 × 5.
- Find the prime factorization of 180. 180 = 2 × 2 × 3 × 3 × 5.
- LCM = 2 × 2 × 3 × 3 × 5 × 5.
- LCM = 900.
Given:
The polynomial function is
To find:
The possible roots of the given polynomial using rational root theorem.
Solution:
According to the rational root theorem, all the rational roots and in the form of 
, where, p is a factor of constant and q is the factor of leading coefficient.
We have,
Here, the constant term is 10 and the leading coefficient is 4.
Factors of constant term 10 are ±1, ±2, ±5, ±10.
Factors of leading term 4 are ±1, ±2, ±4.
Using rational root theorem, the possible rational roots are
Therefore, the correct options are A, C, D, F.
Answer:
90+30=120
180-120=60 this is degree measure
Answer:
w=p/2-l
Step-by-step explanation:
you have to simplify the equation p=2(l+w).
1) Isolate the variables l and q
p/2=l+w
2) Subtract the length from the width.
p/2-l=w
3) The answer is b, or w=p/2-l
The height of the balloon is given as h(t) = -16t² + 40t + 12 at 2 seconds, the height is 28 feet
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the water balloon after t minutes, hence:
h(t) = -16t² + vt + h₀
Where h₀ is the initial height = 12 feet and v is the initial velocity, hence:
h(t) = -16t² + vt + 12
The height of 37 feet after 1.25 seconds, hence:
37 = -16(1.25)² + v(1.25) + 12
v = 40 m/s
h(t) = -16t² + 40t + 12
After 2 seconds:
h(t) = -16(2)² + 40(2) + 12
h(2) = 28 feet
The height of the balloon at 2 seconds is 28 feet
Find out more on equation at: brainly.com/question/1214333
