Which observation supports the idea that light is made of particles

Answer:

This is tricky but I think it is A.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

  (x, y) = (-4, -15)

Step-by-step explanation:

Perhaps you want the solution to ...

  y = 3/4x -12

  y = -4x -31

Equating the two expressions for y gives ...

  3/4x -12 = -4x -31

  3/4x = -4x -19 . . . . . add 12

  3x = -16x -76 . . . . . multiply by 4

  19x = -76 . . . . . . . . . add 16x

  x = -76/19 = -4 . . . . divide by 19

  y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y

The solution to this system of equations is ...

  (x, y) = (-4, -15)

Answer:

5

Step-by-step explanation:

320 / 64 = 5

Answer:

Step-by-step explanation:

We presume you want the values of x, y, and z.

__

There are two "special triangles" in geometry and trigonometry. They are the 30°-60°-90° right triangle that is half of an equilateral triangle, and the 45°-45°-90° isosceles right triangle that is half a square (cut by the diagonal).

The side ratios of these special triangles are relatively easy to remember. It is useful to memorize them.

__

For the isosceles right triangle, the side lengths are the same. The Pythagorean theorem tells you that if they are both 1, then the hypotenuse is ...

  √(1²+1²) = √2

That is, the side lengths of the 45-45-90 triangle are in the ratio ...

  1 : 1 : √2

__

For the triangle that is half an equilateral triangle, you know the hypotenuse is twice the length of the shortest side (since we got that short side by cutting a long side in half). Then the longer side can be found from the Pythagorean theorem:

  √(2²-1²) = √3

That is, the side lengths of the 30-60-90 triangle are in the ratio ...

  1 : √3 : 2

_____

In this problem, we're given the hypotenuse of a 30-60-90 triangle, so we know the short side of it (x) will be half that length:

  x = (16√3)/2

  x = 8√3

The hypotenuse of the 45-45-90 triangle will be √3 times x, so will be ...

  long side of small triangle = (√3)(8√3) = 24

The shorter sides of that 45-45-90 triangle will be this value divided by the square root of 2, so are ...

  y = z = 24/√2

We can multiply this by (√2)/(√2) to "rationalize the denominator".

  y = z = 12√2

Answer:

8\sqrt{3},\ 12\sqrt{2},\ 12\sqrt{2}

Step-by-step explanation:

example:

The value of x is 22

Step-by-step explanation:

We are given that there are two numbers

First number is x

second number is 35

The sum of x and 35 is 57

so, we get equation as

now, we can solve solve x

So, subtract both sides by 35

Answer:

4

Step-by-step explanation:

bet

Answer:

The Answer is 4 on Edg

Step-by-step explanation:

Mhm

Answer:

(1/64) in^3, or 0.015625 in^3

Step-by-step explanation:

The formula for the volume of a cube of side length s is V = s^3.

Here, with s = 1/4 in,

V = (1/4 in)^3 = (1/64) in^3, or 0.015625 in^3

Answer:

(y-b) /x = m

Step-by-step explanation:

y = mx+b

Subtract b from each side

y -b = mx+b-b

y-b = mx

Divide each side by x

(y-b) /x = mx/x

(y-b) /x = m

Answer:

8.1 g/cm

Step-by-step explanation:

Answer:

Have them 4 by 5.

Step-by-step explanation:

If you she but 5 chairs in a row, then 3 on the side of the chairs. That would create a backward "L" type of shape.

For example, (The "o" is a chair)

OOOOO

O

O

O

As you see the the top are the 5 chairs, then side are are the 4 chairs.

Then, you will do the exact same thing  but on the opposite side.

Here is the next example.

OOOOOO

O            O

O            O

O            O

OOOOOO

Basically, arranging the chairs 4x5, it would make a rectangle.

Answer:

1 . There will be enough cup of punch to serve all 14 guest

2. There will be 2 cups of punch left.

Step-by-step explanation:

Mr  Hernandez combines 1 gallon of orange juice, 3 pint of pineapple juice and 2 quarts of lemon-lime soda to make punch for a party.

This combination makes up the punch.  We have to convert to cups to ascertain if the punch will be enough to serve 14 guest which are entitle to 2 cups of punch. The 14 guest will consume a total of 28 cups of punch .

1 gallon of  orange juice = 16 cups of orange juice

1 pint = 2 cups

3 pints of pineapple =  6 cups

1 quarts = 4 cups

2 quarts of lemon-lime soda = 8 cups

When you combine all the cups together, the total punch will be = 16 + 6 + 8 = 30  cups of punch.

The guest will consume a total of 14 × 2 = 28 cups of punch. There will  be 30 - 28 = 2 cups of punch left.

Answer:

The 98% confidence interval on the population proportion of people who like the new flavor is (0.8237, 0.8763).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 1000, \pi = \frac{850}{1000} = 0.85[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.85 - 2.327\sqrt{\frac{0.85*0.15}{1000}} = 0.8237[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.85 + 2.327\sqrt{\frac{0.85*0.15}{1000}} = 0.8763[/tex]

The 98% confidence interval on the population proportion of people who like the new flavor is (0.8237, 0.8763).

Answer:

Step-by-step explanation:

Median of a dataset is the value at the centre of the dataset after rearrangement.

Given the data {8,x , 4,1}, the median of the set will be two values(x and 4). Since we have two values as the median, we will take their average.

Median of the first data set = x+4/2 ...(1)

For the second dataset  {9,y , 5,2}, the median will be y+5/2

Since we are told that the medians of both datasets are equal, we will equate the value of the medians of both datasets as given below;

x+4/2 = y+5/2

cross multiplying;

2(x+4) = 2(y+5)

Dividing both sides by 2 will give;

x+4 = y+5

From the resulting equation;

y-x = 4-5

y-x = -1

(y-x)² = (-1)² = 1

Answer:

6

Step-by-step explanation:

1.5*4=6

To solve this problem, we'll set up a ratio between the equivalent values.

We know that 1 1/2 pages and 1/4 of an hour are our two values, and assuming that Azi writes at a constant speed, we're able to write this ratio:

1.5 : .25

(I'm just writing with decimals because I find them easier to work with, but decimals or fractions will give you the correct answer.)

Since .25 is 1/4 of an hour, we can multiply this value by 4 to get 1 hour.

Additionally, since this is a ratio, what you do to one side must be done to the other, so 1.5 will also be multiplied by 4.

(1.5 x 4) = (.25 x 4)

6 = 1

Therefore, Azi can type 6 pages in one hour.

Hope this helped! :)

Answer:

A sample size of at least 271 is required.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Maxium error of 0.12.

How large of a sample is required to estimate the mean usage of electricity?

We need a sample size of at least n.

n is found when [tex]M = 0.12, \sigma = 1.2[/tex]

So

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.12 = 1.645*\frac{1.2}{\sqrt{n}}[/tex]

[tex]0.12\sqrt{n} = 1.645*1.2[/tex]

[tex]\sqrt{n} = \frac{1.645*1.2}{0.12}[/tex]

[tex](\sqrt{n})^{2} = (\frac{1.645*1.2}{0.12})^{2}[/tex]

[tex]n = 270.6[/tex]

Rounding up

A sample size of at least 271 is required.

Answer:

-3

Step-by-step explanation:

The equation is y = -3 + .5x

Answer:

g(6) = 0, x = 6

Step-by-step explanation:

Sorry I forgot to look at the graph..

Graph is y = 1/2x - 3

Plug it in.

y = 1/2 (6) - 3

y = 0

Answer:

a=10

b=6

Step-by-step explanation:

add 2 to 8, to get a, then subtract 4 from 10 to get b

Answer:

10 and 6

Step-by-step explanation:

Answer:

9.54 cm

Explanation:

area = πr^2

286 cm^2= πr^2

=>πr^2= 286 cm^2

=>r^2= 286÷π

=>r= √286÷π

: 9.54. m

circumference=2πr

=> circumference=2×π×9.54

=60 cm

Answer:

the circumference is 9.42 cm

Step-by-step explanation:

3.14 · (3 cm)

c = 9.42 cm

hope this helps :-)

Answer:

  63°

Step-by-step explanation:

The sine of an angle is the ratio of the opposite side to the hypotenuse.

  Sin = Opposite/Hypotenuse

  sin(D) = EF/DE = 8.4/9.4

Using the inverse sine function, we can find the angle:

  D = arcsin(8.4/9.4) ≈ 63.33°

  ∠D ≈ 63°

Answer:

1472

Step-by-step explanation:

The sum of n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = 19 - 14 = 5 , thus

[tex]S_{23}[/tex] = [tex]\frac{23}{2}[/tex] [ (2 × 9) + (22 × 5) ]

     = 11.5 (18 + 110) = 11.5 × 128 = 1472

Answer:

There is not enough information to specifically tell you the amount for x

Answer:x=14-y

Step-by-step explanation:

x+y=14

x=14-y

Answer:

B

Step-by-step explanation:

In the attached file

Answer:

The whole brownie is 3/3

Step-by-step explanation:

Hello!

This is a classic fractions exercise.

The whole brownie was cut in three equal pieces. Each piece represents 1/3 of the brownie.

If you add the three pieces together 1/3+1/3+1/3 you get the whole brownie again 3/3 = 1

-Options-

The whole brownie is 1/3.

The whole brownie is 3/3.

The whole brownie is 2/3.

The whole brownie is 3/2.

I hope this helps!

Answer:

x + (x+1) + (x+2) = 114

3x = 111

x = 37

the numbers are 37, 38 and 39

the smallest number is 37

Step-by-step explanation:

Answer: y= 1/3 x + 5/3

Step-by-step explanation:

1= 1/3(-2) + b where b is the y intercept

  1=   -2/3 + B

+2/3   +2/3

B = 5/3

so we know the slope and the y- intercept

y= 1/3x + 5/3   check:   1=1/3(-2) +5/3

                                    1 =1

Slope intercept form: y = mx + b

m = slope

b = y-intercept

Since we know the slope and one point, we can solve for the y-intercept.

y = 1/3x + b

1 = 1/3(2) + b

1 = 2/3 + b

1 - 2/3 = 2/3 - 2/3 + b

1/3 = b

Now, put the final equation together.

y = 1/3x + 1/3

Best of Luck!

Answer:

6

Step-by-step explanation:

I did the work but like where did that cube go lol

Answer:

1/6 would be the answer because you multiply

1/2 x 1/2 x 1/2 = 1/6

5.   2 by 2 by 1 would work

Step-by-step explanation:

Answer:

Length: 11

Width: 5

Step-by-step explanation:

Let W = width

Let L = length

Length is 4 less than 3 times the width  ==>  L = 3*W - 4  

Let P = Perimeter = 2*W + 2*L

Perimeter is 22 more than twice the width  ==>  P = 2*W + 22

Setting the 2 expressions for the perimeter equal to each other gives  

2*W + 2*L = 2*W + 22

2*L = 22

L = 11  

So 11 = 3*W - 4

3*W = 15

W = 5

The length is 11 and the width is 5  

Check:  3*W - 4 = 11 = Length

           Perimeter = 32 = 22 more than 2*5 = 10