Answer:
B. 5.25 square units
Step-by-step explanation:
<h3>Answered by Ddaniella568</h3><h3>Have a good day!</h3><h3>De nada/Your Welcome</h3><h3>MARK AS BRAINLIEST???</h3><h3 />
Answer:
The integrals was calculated.
Step-by-step explanation:
We calculate integrals, and we get:
1) ∫ x^4 ln(x) dx=\frac{x^5 · ln(x)}{5} - \frac{x^5}{25}
2) ∫ arcsin(y) dy= y arcsin(y)+\sqrt{1-y²}
3) ∫ e^{-θ} cos(3θ) dθ = \frac{e^{-θ} ( 3sin(3θ)-cos(3θ) )}{10}
4) \int\limits^1_0 {x^3 · \sqrt{4+x^2} } \, dx = \frac{x²(x²+4)^{3/2}}{5} - \frac{8(x²+4)^{3/2}}{15} = \frac{64}{15} - \frac{5^{3/2}}{3}
5) \int\limits^{π/8}_0 {cos^4 (2x) } \, dx =\frac{sin(8x} + 8sin(4x)+24x}{6}=
=\frac{3π+8}{64}
6) ∫ sin^3 (x) dx = \frac{cos^3 (x)}{3} - cos x
7) ∫ sec^4 (x) tan^3 (x) dx = \frac{tan^6(x)}{6} + \frac{tan^4(x)}{4}
8) ∫ tan^5 (x) sec(x) dx = \frac{sec^5 (x)}{5} -\frac{2sec^3 (x)}{3}+ sec x
Solution:
Number of students in Mr.Skinner's class who brought lunch from home if there are 20 students in the class=12
Fraction of students who brought lunch from home in Mr. Skinner's class=
Number of students in Ms. Cho's class who brought lunch from home if there are 21 students in the class=14
Fraction of students who brought lunch from home in Ms. Cho's class=
As Siloni is using two 15-section spinners to simulate randomly selecting students from each class and predicting whether they brought lunch from home or will buy lunch in the cafeteria.
Number of Congruent sectors in each Spinner=15
So, if we represent students from Mr. Skinner's class who brought lunch from home in Spinner having 15 congruent Sectors =
So, if we represent students from Mrs. Cho's class who brought lunch from home in Spinner having 15 congruent Sectors =
Mr Skinner class +1 = Mr's Cho's Class
So Ms Cho's class =One more sector of the Skinner-class spinner will represent bringing lunch from home.
Option A which is One more sector of the Skinner-class spinner will represent bringing lunch from home represents Ms Cho's Class.
Part A:
To determine the amount of money in Euros that the team will get, we use the original amount given, the proper dimensional analysis and the conversion factor. For this item,
(£135) x (€1 / £0.72) = €187.5
<em>ANSWER: €187.5</em>
Part B:
Convert first the given length of the arena's stage in centimeters by using the conversion factor, 1 m = 100 cm
(8 meters) x (100 cm/1 m) = 800 cm
Since, both sides will be occupied by 130-cm speaker,
remaining length = 800 - 2(130 cm)
remaining length = 540 cm
<em>ANSWER: 540 cm or 5.4 m</em>
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Answer: See below
Explanation:
(2x + 2y)(x - y) + (2x - 2y)(x+y)
= 2(x+y)(x-y) + 2(x-y)(x+y)
= 2(x^2 - y^2) + 2(x^2 - y^2)
= (2 + 2)(x^2 - y^2) (combine like terms)
= 4(x^2 - y^2)
