Answer:
1x10⁻¹m
Step-by-step explanation:
y = 3x10⁸/x
x is wavelength
y is frequency
what is the wavelength if frequency is 3 x10⁹= y
y = 3x10⁸/x
3 x10⁹ = 3 x10⁸/x
make x the subject of formula
3 x10⁹x = 3 x10⁸
divide both sides by 3 x10⁹
x = 3 x10⁸/3 x10⁹
Adopting law of indices
xᵃ/xᵇ = xᵃ⁻ᵇ
3¹⁻¹x10⁸⁻⁹ = 3⁰x10⁻¹ = 1x10⁻¹m
Since n=5, take the 6th row of Pascal Triangle: (a+b)⁵:
(a+b)⁵ = a⁵+5a⁴b+10a³b²+10a²b³+5ab⁴+b⁵.
But a= 2x and b=y, plug in:
(2x)⁵ + 5(2x)⁴y + 10(2x)³y² + 10(2x)²y³ + 5(2x)y⁴ +y⁵
32x⁵ + 80x⁴y +80x³y² + 40x²y³ + 10xy⁴ + y⁵
The 3rd term has a:
coefficient = 80
power of x= 3
power of y =2
Answer:
7/6
Step-by-step explanation:
There is 7 total bars and only 6 are shaded, therfore your answer would be 7/6. :)
ANSWER
How many students went to the dance:
Step-by-step explanation:
the answer is 32 because 75% of 32 is 24 students.
Give me brainliest
You need to use a variable.
The height is unknown.
Let h = height.
The base is also unknown, but it is known in terms of the height.
The base is 2/3 the measure of the height.
Since the height is h, the base is 2/3 of h, or (2/3)h.
Now we have an expression for the height, h, and an expression for the base, (2/3)h. We can use the formula for the area of a triangle.
A = bh/2
12 = (2/3)h * h / 2
Now you have an equation in only one variable, h, so you can solve for h.
Once you know h, find the base.