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3 years ago

Find the LCM of 34 and 5

Mathematics

1 answer:

Korolek [52]3 years ago

3 0

The answer is 170. Hope this helps :)

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Consider three events A, B and C with following properties.

lisov135 [29]

By the inclusion/exclusion principle,

$\mathbb P(D)=\mathbb P(A\cup B\cup C)$
$\mathbb P(D)=\mathbb P(A)+\mathbb P(B)+\mathbb P(C)-\bigg(\mathbb P(A\cap B)+\mathbb P(A\cap C)+\mathbb P(B\cap C)\bigg)+\mathbb P(A\cap B\cap C)$
$\mathbb P(D)=\dfrac14+\dfrac16+\dfrac14-\dfrac39+\dfrac1{13}$
$\mathbb P(D)=\dfrac{16}{39}\neq1$

So the union of A, B, and C does not constitute the entire sample space.

5 0

3 years ago

If f(x) = 3x^2 + 1 and g(x) = 1 – x, what is the value of (f – g)(2)?

ziro4ka [17]

F - g(2) = 3x^2 + 1 - ( 1 - x )
= 3x^2 + 1 - 1 + x
= 3x^2 + x
= 3(2)^2 + 2
= 14

the answer is B.14

i am a mathematics teacher. if anything to ask please pm me

4 0

3 years ago

1 pt) find the average rate of change of the function over the given intervals. h(t)=\cot (t);

blondinia [14]

$\text{Consider the function}\\
\\
h(t)=\cot(t) \text{ on the interval }\left [ \frac{\pi}{4}, \ \frac{3\pi}{4} \right ]\\
\\
\text{we know that the average rate of change of a funtion f(x) over the }\\
\text{interval [a, b] is given by}\\
\\
f_{avg}=\frac{f(b)-f(a)}{b-a}\\
\\
\text{so using this, the average rate of change of the given function is}$

$h_{avg}=\frac{h\left ( \frac{3\pi}{4} \right )-h\left ( \frac{\pi}{4} \right )}{\frac{3\pi}{4}-\frac{\pi}{4}}\\
\\
=\frac{\cot \left ( \frac{3\pi}{4} \right )-\cot \left ( \frac{\pi}{4} \right )}{\frac{3\pi-\pi}{4}}\\
\\
=\frac{(-1)-(1)}{\frac{2\pi}{4}}\\
\\
=\frac{-2}{\frac{\pi}{2}}\\
\\
\text{Average rate of change of function}=\frac{-4}{\pi}$

6 0

3 years ago

Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1). Include your work in y

lys-0071 [83]

First find the slope,
m=(y2-y1)/(x2-x1)=(1-(-9))/(7-6)=10
Next, use the point slope form to find the equation:
L : y-y1=m(x-x1) => y-1=10(x-7)
[in point slope form, point is (7,1), slope=m=10 ]

5 0

3 years ago

Whats (12-7) x (8-5) - 7 and (16-4) + (10 - 12 divided by 3)

zalisa [80]

Answer:

The answer would be 26

Step-by-step explanation: (Broken down into 2 parts)

-PART ONE- solving (12-7) x (8-5) -7

(12-7) x (8-5) -7 (do whats in parentheses first)

(5)x (3) -7 (multiply 5x3)

15-7 (subtract)

ANSWER- 8

-PART TWO- solving (16-4) + (10 - 12 divided by 3)

(16-4) + (10 - 12 divided by 3) (do what is in parentheses)

12 + 10-4 (add)

22-4 (subtract)

ANSWER- 18

Now combine the two answers 18+8 and you get 26

Therefore, 26 is the final answer.

Hope this helps!!

5 0

2 years ago

Find the LCM of 34 and 5​

Find the LCM of 34 and 5