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3 years ago

What is the greatest common factor of 54 76 and 114

Mathematics

1 answer:

Leviafan [203]3 years ago

4 0

Answer:

Step-by-step explanation:

Prime factors of 56 = 2^3 . 7

Prime factors of 76 = 2^2 . 19

Prime factors of 114 = 2 . 3 . 19

Prime factors of 124 = 2^2 . 31

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Find the 75th term of the arithmetic sequence -1, 15, 31, ...−1,15,31,...

Readme [11.4K]

Answer:

1183

Step-by-step explanation:

Common difference:

d = 31 - 15 = 16

nth term:

$a_n = a_1 + (n - 1)d$

Here, $a_1 = -1$

$a_{75} = -1 + (75 - 1)(16)$

$a_{75} = 1183$

3 0

3 years ago

Consider the numbers 4 and √5. Which operation(s) will result in an irrational number?

tekilochka [14]

Answer: D (both the sum and the product).

Step-by-step explanation:

Let's add: 4 + sqrt5 will still seem irrational.

Let's multiply: 4*sqrt5 = 4sqrt5, which is irrational.

5 0

2 years ago

The population of Mexico has been increasing at an annual rate of 1.7%. If the population was 100,350,000 in the year 2000, pred

Svetllana [295]

We can withdraw a equation to give mexico population

P = M.(1 + i)^t

So,

First of all, how many years passed? 2015 - 2000 = 15. Our time is 15, our annual rate is 1,7%, time to calc.

P = 100350000.(1 + 1,7%)^15

1,7% = 0,017

P = 100350000.(1 + 0,017)^15

P = 100350000.(1,017)^15

P = 100350000.1,2876988084901218382866596204289

P = 129220575,43198372647206629291004

Rounding

P = 129,220,575

8 0

3 years ago

Read 2 more answers

Find the value of x. 7 Х 3 Z x= [?] V Give your answer in simplest form.

mixas84 [53]

Answer:

Step-by-step explanation:

$y^2=7*3\\y^2=21\\y^2=\sqrt{21}$

4 0

3 years ago

Which is an equation in point-slope form for the given point and slope?

Kisachek [45]

The point-slope form: $y-y_1=m(x-x_1)$

Q2.

$(1,\ -7)\to x_1=1,\ y_1=-7\\m=1\\\\y-(-7)=1(x-1)\\\\y+7=(x-1)$

Q3.

$(5,\ 9)\to x_1=5,\ y_1=9\\m=2\\\\y-9=2(x-5)$

Q4.

$y=mx+b\\\\(0,\ 1)\to b=1\\\\y=mx+1$

The formula of a slope: $m=\dfrac{x_2-x_1}{y_2-y_1}$

$((-2,\ 4)\to x_1=-2,\ y=4\\(2,\ -2)\to x_2=2,\ y_2=-2\\\\m=\dfrac{-2-4}{2-(-2)}=\dfrac{-6}{4}=-1.5$

$y=-1.5x+1$

8 0

3 years ago