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3 years ago

Question 1 of 5Find the greatest common factor of these three expressions12y,8y", and 20 y?

Mathematics

2 answers:

rewona [7]3 years ago

8 0

Answer: 4y is the greatest common factor

Step-by-step explanation:

Mariana [72]3 years ago

6 0

4y can go through all

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An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the

DedPeter [7]

The inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground is:

$d = -16t^2 + 1000$

Solution:

The object falls, its distance, d, above the ground after t seconds, is given by the formula:

$d = -16t^2 + 1000$

To find the time interval in which the object is at a height greater than 300 ft

Frame a inequality,

$-16t^2 + 1000 > 300$

Solve the inequality

Subtract 1000 from both sides

$-16t^2 + 1000 - 1000 > 300 - 1000\\\\-16t^2 > -700$

$16t^2 < 700\\\\Divide\ both\ sides\ by\ 16\\\\t^2 < \frac{700}{16}\\\\Take\ square\ root\ on\ both\ sides\\\\t < \sqrt{\frac{700}{16}}\\\\t < \pm 6.61$

Time cannot be negative

Therefore,

t < 6.61

And the inequality used is: $-16t^2 + 1000>300$

6 0

3 years ago

Represent the arithmetic series using the recursive formula 94, 87, 80, 73,

Rama09 [41]

Answer:

$a_1 = 94 \\ a_n = a_ {n - 1} - 7$

Step-by-step explanation:

The given arithmetic sequence is 94, 87, 80, 73,...

The first term is

$a_1=94$

The common difference is

$d = 87 - 94$

$d = - 7$

The recursive formula is given by:

$a_n = a_ {n - 1} + d$

We substitute the common difference to obtain:

$a_n = a_ {n - 1} - 7$

5 0

3 years ago

What is the Square root of 45? (Step by step working plz)

kifflom [539]

if you simplify it you would have to find factors of 45 that are perfect squares, for example, the square root of 9 times the square root of 5 is the square root of 45 so if you want to simplify it you would need to take the square root of 9 which is 3

so if you put in simplest form you would get 3 root 5

$3\sqrt{5}$