All categories

3 years ago

What does 6/7 x 6/7 equal

Mathematics

2 answers:

True [87]3 years ago

7 0

$\frac{6}{7} * \frac{6}{7} = \\ \\ 6 * 6 = 36 \\ \\ 7 * 7 = 49 \\ \\ = \frac{36}{49}$

exis [7]3 years ago

4 0

6/7 times 6/7 equals 36/49

You might be interested in

Ernie is thinking of a number. The quotient id the number and 4 is 90.

Shkiper50 [21]

Answer:

360

Step-by-step explanation:

multiply 90 and 4

8 0

3 years ago

The intensity of light with wavelength λ traveling through a diffraction grating with N slits at an angle θ is given by I(θ) = N

Ymorist [56]

Answer:

0.007502795

Step-by-step explanation:

We have

N = 10,000

$\bf d=10^{-4}$

$\bf \lambda = 632.8*10^{-9}$

Replacing these values in the expression for k:

$\bf k=\frac{\pi Ndsin\theta}{\lambda}=\frac{\pi10^4*10^{-4}sin\theta}{632.8*10^{-9}}=\frac{\pi 10^9sin\theta}{632.8}$

So, the intensity is given by the function

$\bf I(\theta)=\frac{N^2sin^2(k)}{k^2}=\frac{10^8sin^2(\frac{\pi 10^9sin\theta}{632.8})}{(\frac{\pi 10^9sin\theta}{632.8})^2}$

The total light intensity is then

$\bf \int_{-10^{-6}}^{10^{-6}} I(\theta)d\theta=\int_{-10^{-6}}^{10{-6}}\frac{10^8sin^2(\frac{\pi 10^9sin\theta}{632.8})}{(\frac{\pi 10^9sin\theta}{632.8})^2}d\theta$

Since $\bf I(\theta)$ is an even function

$\bf \int_{-10^{-6}}^{10^{-6}} I(\theta)d\theta=2\int_{0}^{10^{-6}}I(\theta)d\theta$

and we only have to divide the interval $\bf [0,10^{-6}]$ in five equal sub-intervals $\bf I_1,I_2,I_3,I_4,I_5$ with midpoints $\bf m_1,m_2,m_3,m_4,m_5$

The sub-intervals and their midpoints are

$\bf I_1=[0,\frac{10^{-6}}{5}]\;,m_1=10^{-5}\\I_2=[\frac{10^{-6}}{5},2\frac{10^{-6}}{5}]\;,m_2=3*10^{-5}\\I_3=[2\frac{10^{-6}}{5},3\frac{10^{-6}}{5}]\;,m_3=5*10^{-5}\\I_4=[3\frac{10^{-6}}{5},4\frac{10^{-6}}{5}]\;,m_4=7*10^{-5}\\I_5=[4\frac{10^{-6}}{5},10^{-6}]\;,m_5=9*10^{-5}$

By the midpoint rule

$\bf \int_{0}^{10^{-6}}I(\theta)d\theta\approx\frac{10^{-6}}{5}[I(m_1)+I(m_2)+...+I(m_5)]$

computing the values of I:

$\bf I(m_1)=I(10^{-5})=\frac{10^8sin^2(\frac{\pi 10^9sin(10^{-5})}{632.8})}{(\frac{\pi 10^9sin(10^{-5})}{632.8})^2}=13681.31478$

$\bf I(m_2)=I(3*10^{-5})=\frac{10^8sin^2(\frac{\pi 10^9sin(3*10^{-5})}{632.8})}{(\frac{\pi 10^9sin(3*10^{-5})}{632.8})^2}=4144.509447$

Similarly with the help of a calculator or spreadsheet we find

$\bf I(m_3)=3.09562973\\I(m_4)=716.7480066\\I(m_5)=211.3187228$

and we have

$\bf \int_{0}^{10^{-6}}I(\theta)d\theta\approx\frac{10^{-6}}{5}[I(m_1)+I(m_2)+...+I(m_5)]=\frac{10^{-6}}{5}(18756.98654)=0.003751395$

Finally the the total light intensity

would be 2*0.003751395 = 0.007502795

8 0

3 years ago

He CEO of Hot Tires compares factory production for his two factories using the data in the table shown below.

zhenek [66]

Answer: A factory b is produced more tired than Factory A because factory B has a median of 112 and factory A has a median of 102.

6 0

3 years ago

Find the slope and y-intercept of the following line -7x+7y=-17

leva [86]

To find these two lets convert this into slope-intercept form:

-7x + 7y = -17
7y = 7x -17
y = x - 17/7

So, the slope is 1 and the y-intercept is -17/7

Hope this helps!

3 0

4 years ago

You recently received your verizon wireless phone bill for the month. The total is $70.52. Included in that total is $13.27 in s

weeeeeb [17]

So 70.52 and 13.27

so 13.27 is what percent of 70.52
percent means parts out of 100

what percent of 70.52
'of' can be tranlated to mutiply
13.27=x% times 70.52
13.27=x/100 times 70.52
13.27=70.52x/100
13.27=0.7052x
divide both side by 0.7052
18.82
the answer is 18.8%

the easy way is

to find percent assume 70.27=100
so x/100=
13.27/70.52 then multiply by 100=0.18817 multipliy 100
18.817=round 18.8%

answer is 18.8%

8 0

4 years ago