All categories

3 years ago

Find the Highest Common Factor of 42 and 90.

Mathematics

2 answers:

ladessa [460]3 years ago

4 0

Answer:

Step-by-step explanation:

The common factors of 42 and 90 are 6,3,2,1

Therefore the greatest common factor of 42 and 90 is 6

Nikitich [7]3 years ago

3 0

Answer:

Step-by-step explanation:

Factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Factores of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

6 is the greatest common factor.

You might be interested in

Which represents the inverse of the function f(x)=4x

liraira [26]

The answer will be F^-1= x/4

5 0

4 years ago

An ensemble of 100 identical particles is sent through a Stern-Gerlach apparatus and the z-component of spin is measured. 46 yie

Elodia [21]

Answer:

The standard deviation is 0.4984 $\hbar$

Step-by-step explanation:

In order to find standard deviation, The equation is given as

$\sigma=\sqrt{\frac{1}{n} \sum_{i=1}^{100} (\mu-x_i)^2$

Here μ is the mean which is calculated as follows

$\mu=\frac{\sum_{i=1}^{100} x_i}{n}\\\mu=\frac{46\times \frac{\hbar}{2}+54\times \frac{-\hbar}{2}}{100}\\\mu=\frac{-4 \hbar}{100}\\\mu=-0.04 \hbar$

Now the standard deviation is given as

$\sigma=\sqrt{\frac{1}{100} \sum_{i=1}^{100} (-0.04 \hbar-x_i)^2}\\\sigma=\sqrt{\frac{1}{100} [[46 \times(-0.04 \hbar-0.5 \hbar)^2]+[54 \times(-0.04 \hbar+0.5 \hbar)^2]}]\\\sigma=\sqrt{\frac{1}{100} [[46 \times(-0.54 \hbar)^2]+[54 \times(0.46 \hbar)^2]}]\\\sigma=\sqrt{\frac{1}{100} [[46 \times(0.2916 \hbar)]+[54 \times(0.2116 \hbar)]}]\\\sigma=\sqrt{\frac{1}{100} [13.4136 \hbar+11.4264 \hbar}]\\\sigma=\sqrt{\frac{24.84 \hbar}{100}}\\\sigma =0.4984 \hbar$

So the standard deviation is 0.4984 $\hbar$

4 0

3 years ago

Name the transformation in the picture 1

boyakko [2]

Answer:

DIALATION- REDUCTION

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Your job is to sort and sack marbles for sale . A bag contains 90 marbles, some red and some blue . If there are 60 blue marbles

Julli [10]

I’m sorry if this is wrong, but wouldn’t it be 30;60? Again if I’m wrong someone else feel free to answer and correct me

8 0

3 years ago

2/3 x + 5/6 = x - 1/2 SHOW WORK PLEASE

Digiron [165]

Answer:

x=4

Step-by-step explanation:

2/3 x + 5/6 = x - 1/2

Multiply each side by 6 to clear the fractions

6(2/3 x + 5/6) = 6(x - 1/2)

Distribute

4x +5 = 6x-3

Subtract 4x from each side

4x+5 -4x = 6x-3-4x

5 = 2x-3

Add 3 to each side

5+3= 2x-3+3

8 =2x

Divide by 2

8/2 =2x/2

4 =x

5 0

3 years ago

Read 2 more answers