Simplify (5rs-1t3)(-3r2st).
Answers
-30r^2s^2t+18rst^2
Related Questions
How do I have to interpret the 2 in the next log?Is it the same as saying (logx)^2?I need to calculate the derivative of this function but it will be difficult without even knowing what the 2 means lol.Thnx in advance
Choose all the numbers that are multiples of 7.7 28 34 49 21 54 63
Write an exponential function to model the situation. A population of 470 animals decreases at an annual rate of 12%.
In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, and a video game costs $39.99. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?
0 1
02
O 10
O 30
Answers
The value of n which makes the exponential value equation true is n = 10
What are the laws of exponents?
When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be A
Now , the value of A is
A = ( 2x⁹yⁿ ) ( 4x²y¹⁰ ) = 8x¹¹y²⁰
So , from the laws of exponents , we get
mᵃ×mᵇ = mᵃ⁺ᵇ
( 2x⁹yⁿ ) ( 4x²y¹⁰ ) = 8x⁹⁺²yⁿ⁺¹⁰
( 2x⁹yⁿ ) ( 4x²y¹⁰ ) = 8x¹¹yⁿ⁺¹⁰
And , the value of A is = 8x¹¹y²⁰
So , on simplifying , we get
8x¹¹y²⁰ = 8x¹¹yⁿ⁺¹⁰
y²⁰ = yⁿ⁺¹⁰
Since the bases are same , the powers are also same
20 = n + 10
Subtracting 10 on both sides , we get
n = 10
Hence , the exponential equation is solved and n = 10
To learn more about exponents click :
#SPJ7
Answer:
02
Step-by-step explanation:
30is the beginning answer
She has about half of her homework left to finish.
She has a little homework left to finish.
She has none of her homework left to finish.
Answers
5/7 = 20/28
1/4 = 7/28
20/28 + 7/28 = 27/28
She has completed 27/28 of her homework, leaving her with 1/28 of her homework left to do.
She has a little homework left to finish.
Answers
Answer:
vertex = (3, 2 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = 2(x - 3)² + 2 ← is in vertex form
with vertex = (3, 2 )
Answers
Answer:
1/4
Step-by-step explanation:
simple
Answers
Formula for volume of cone:
V =
r = 6 km
h = 12 km
V =
V =
V =
V = 452.389 km^3 <----------------------Using the calculators pi button
V = 452.16 km^3 <-------------------------Using 3.14 for pi
Hope this helped!
~Just a girl in love with Shawn Mendes
Net
31 m
27 m
Calculate the size of the serving angle A.
Give your answer correct to the nearest degree.
C
The person serving stands at point A and tries to serve the ball somewhere between
point C and B on the edge of the opponent's side.
Do not include the degree symbol in your answer.
9 m
B
Answers
Answer:
To calculate the size of the serving angle A in the diagram of the volleyball court, you can use trigonometry.
You have the following information:
The distance from point A to point C is 9 meters.
The distance from point A to point B is 31 meters.
To find angle A, you can use the inverse tangent (arctan) function:
�
=
arctan
(
�
�
�
�
)
A=arctan(
AC
BC
)
Substitute the values:
�
=
arctan
(
31
9
)
A=arctan(
9
31
)
Now, calculate the angle:
�
≈
arctan
(
3.444
)
≈
73.4
8
∘
A≈arctan(3.444)≈73.48
∘
Rounded to the nearest degree, the size of the serving angle A is approximately 73 degrees.
Step-by-step explanation:
Sure, I'll explain it in a simpler way:
Imagine you're standing at point A on the volleyball court, and you want to serve the ball towards point C or point B. Point C is 9 meters away, and point B is 31 meters away from you.
To find out how wide the angle is between where you stand (point A) and where you want to serve the ball (between points C and B), we can use a special math trick. It's like saying, "How much do I need to aim to the left or right?"
We use something called "arctan" to figure it out. When we do the math, we find that the angle A is about 73 degrees. So, you need to aim your serve at about a 73-degree angle to get the ball between points C and B on the other side of the court.