Answer:
=x^2+7x+10
Step-by-step explanation:
Simplify: xx+5x+2x+2.5: x+7x+10
Add similar elements: 5x+2x= 7x
=xx+7x+2.5
xx=x2
2.5=10
=x+7x+10
Answer: =x^2+7x+10
<em><u>Hope this helps.</u></em>
Answer:
k12
Step-by-step explanation:
∫(t = 2 to 3) t^3 dt
= (1/4)t^4 {for t = 2 to 3}
= 65/4.
----
∫(t = 2 to 3) t √(t - 2) dt
= ∫(u = 0 to 1) (u + 2) √u du, letting u = t - 2
= ∫(u = 0 to 1) (u^(3/2) + 2u^(1/2)) du
= [(2/5) u^(5/2) + (4/3) u^(3/2)] {for u = 0 to 1}
= 26/15.
----
For the k-entry, use integration by parts with
u = t, dv = sin(πt) dt
du = 1 dt, v = (-1/π) cos(πt).
So, ∫(t = 2 to 3) t sin(πt) dt
= (-1/π) t cos(πt) {for t = 2 to 3} - ∫(t = 2 to 3) (-1/π) cos(πt) dt
= (-1/π) (3 * -1 - 2 * 1) + [(1/π^2) sin(πt) {for t = 2 to 3}]
= 5/π + 0
= 5/π.
Therefore,
∫(t = 2 to 3) <t^3, t√(t - 2), t sin(πt)> dt = <65/4, 26/15, 5/π>.
Answer:
Step-by-step explanation:
L.C.M. of 2 and 3=6
Raise to the power 6
Using proportions, it is found that his tax rate is of 28.84%.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
His tax rate is the proportion that the <u>deductions are of the total salary</u>, hence:
12,200/42,300 = 0.2884 = 28.84%.
Hence his tax rate is of 28.84%.
More can be learned about proportions at brainly.com/question/24372153
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