The wavelength of the color red is about 6.5 × 10^−9 m. The wavelength of the color blue is about 4.75 × 10^−9 m. Show that the wavelength of red is longer than the wavelength of blue. (explain plz)
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Answer:Concept Development: We have learned why scientific notation is indispensable in science. This means that we have to
learn how to compute and compare numbers in scientific notation. We have already done some computations, so we
are ready to take a closer look at comparing the size of different numbers.
Step-by-step explanation:There is a general principle that underlies the comparison of two numbers in scientific notation: Reduce everything
to whole numbers if possible. To this end, we recall two basic facts.
1. Inequality (A): Let and be numbers and let > . Then < if and only if < .
2. Comparison of whole numbers:
a. If two whole numbers have different numbers of digits, then the one with more digits is greater.
b. Suppose two whole numbers and have the same number of digits and, moreover, they agree digitby-digit (starting from the left) until the
th place. If the digit of in the ( + )
th place is greater than
the corresponding digit in , then > .
Related Questions
Help me pleaseWhich of the following relations is a function? A. (3, 4), (-4, 6), (3, 3), (-8, 2) B. (3, 0), (-4, 3), (8, 1), (-4, 5) C. (8, 1), (-4, 4), (3, 1), (8, 2) D. (3, 4), (-4, 2), (8, 1), (-8, 2)
Help with this question please1
on dancing with the stars, jerry. and his partner scored 5points out of 8 total. what percent is this?
Tali jogs a mile per minute in 12 minutes. How many miles per hour is Tali running?
(-4,1) slope=3/5
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(1,4)
(6,7)
And the point you already gave, (-4,1). Hope this helped!
Answers
Based on the Hypotenuse-LengthTheorem of Congruence (HL), the values of x and y that will make both right triangles congruent are:
- x = 8
- y = 4
Recall:
- Two right triangles are congruent to each other by the Hypotenuse-Length Congruence Theorem (HL) if the hypotenuse length and one leg of a right triangle is congruent to the hypotenuse length and leg of the other right triangle.
Thus, for both right triangles to be congruent, it means that their hypotenuse and one of their corresponding legs must be equal to each other.
Use this to create two equations and solve to get the value of x and y.
- Equal Hypotenuse:
(eqn. 1)
- Equal legs:
(eqn. 2).
- Find the value of y, by substituting x = (y + 4) into eqn. 1.
(eqn. 1)
- Substitute
- Find the value of x, by substituting y = 4 into eqn. 2.
Therefore, based on the Hypotenuse-LengthTheorem of Congruence (HL), the values of x and y that will make both right triangles congruent are:
- x = 8
- y = 4
Learn more here:
Answer:
x = 8 and y = 4
Step-by-step explanation:
For congruency the hypotenuse and a leg must be congruent, that is
3y = x + 4 → (1) ( Equating the hypotenuse )
x = y + 4 → (2) ( equating corresponding legs )
Substitute x = y + 4 into (1)
3y = y + 4 + 4
3y = y + 8 ( subtract y from both sides )
2y = 8 ( divide both sides by 2 )
y = 4
Substitute y = 4 into (2)
x = 4 + 4 = 8
(9x2 + 8x) – (2x2 + 3x)
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Answer:
(9x² + 8x) - (2x² + 3x)
= 7x² + 5x
Step-by-step explanation:
(9x² + 8x) - (2x² + 3x)
open the bracket
= 9x² + 8x - 2x² - 3x
collect like terms
= 9x² - 2x² + 8x - 3x
= 7x² + 5x
9x^2+8x-2x^2-3x
7x^2+5x
b. What does the value of the MAD represent? Explain
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MAD = median of absolute deviations
MAD = median of the set formed by : |each value - Median|
Then, first you have to find the median of the original set
The original set is (38, 43, 45, 50, 51, 56, 67)
The median is the value of the middle (when the set is sorte). This is 50.
Now calculate the absolute deviation of each data from the median of the data.
1) |38 - 50| = 12
2) |43 - 50| = 7
3) |45 - 50| = 5
4) |50 - 50| = 0
5) |51 - 50| = 1
6) |56 - 50| = 6
7) |67 - 50| = 17
Now arrange the asolute deviations in order
(0, 1, 5, 6, 7, 12, 17)
The median is the value of the middle: 6.
Then the MAD is 6.
Part b) MAD represents the median of the of the absolute deviations from the median of the data.
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We have no idea how 'x' responds to changes in 'y'.
We don't even know their units, to make a guess with.
-- If 'x' and 'y' are the ages of two people, then when y = 30, 'x' will be 23.
-- If they are the frequency and wavelength of a wave on the lake,
then when y = 30, 'x' will be 2 .
-- If 'x' is the weight of a rock in your front yard and 'y' is the number of pages
in today's newspaper, then 'y' has no effect on 'x'. No matter what happens
to 'y' . . . 'x' will always be 5 .
With the information given in the question, we just don't know.
We need either an equation, or else one more example.
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1 meter = 1000 millimeters.
100 x 1000 = 1000000 millimeters.