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3 years ago

6:

Mathematics

2 answers:

zhannawk [14.2K]3 years ago

7 0

$52.50 multiply 50 by .05 then add together and you get 52.50

schepotkina [342]3 years ago

4 0

Answer:

$52.5

Step-by-step explanation:

Whenever there is a sales tax of a certain percentage, you need to first convert that percentage to decimal. 5%=0.05, and multiplying this by the overall price gives 0.05*50=$2.5. Adding this to the initial price of $50, you get 50+2.5=$52.5. Hope this helps!

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Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your

Veronika [31]

The expression of integral as a limit of Riemann sums of given integral $\int\limits^5_b {1} \, x/(2+x^{3}) dx$ is 4 $\lim_{n \to \infty}$ ∑ $n(n+4i)/2n^{3}+(n+4i)^{3}$ from i=1 to i=n.

Given an integral $\int\limits^5_b {1} \, x/(2+x^{3}) dx$ .

We are required to express the integral as a limit of Riemann sums.

An integral basically assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinite data.

A Riemann sum is basically a certain kind of approximation of an integral by a finite sum.

Using Riemann sums, we have :

$\int\limits^b_a {f(x)} \, dx$ = $\lim_{n \to \infty}$ ∑f(a+iΔx)Δx ,here Δx=(b-a)/n

$\int\limits^5_1 {x/(2+x^{3}) } \, dx$ =f(x)= $x/2+x^{3}$

⇒Δx=(5-1)/n=4/n

f(a+iΔx)=f(1+4i/n)

f(1+4i/n)= $[n^{2}(n+4i)]/2n^{3}+(n+4i)^{3}$

$\lim_{n \to \infty}$ ∑f(a+iΔx)Δx=

$\lim_{n \to \infty}$ ∑ $n^{2}(n+4i)/2n^{3}+(n+4i)^{3}4/n$

=4 $\lim_{n \to \infty}$ ∑ $n(n+4i)/2n^{3}+(n+4i)^{3}$

Hence the expression of integral as a limit of Riemann sums of given integral $\int\limits^5_b {1} \, x/(2+x^{3}) dx$ is 4 $\lim_{n \to \infty}$ ∑ $n(n+4i)/2n^{3}+(n+4i)^{3}$ from i=1 to i=n.

Learn more about integral at brainly.com/question/27419605

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2 years ago

The function g(t) = 2t represents the number of guitar lessons, g(t), you can complete in t months. How many guitar lessons can

Georgia [21]

The number of guitar lessons that can be completed in 7 months is 2(7) = 14.

7 0

3 years ago

Please help!!!!! Pre algebra (8th grade math) 2 questions double the points!!! At least help me with one;( Very easy but I’m not

dusya [7]

Answer:

11.)

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12.)

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8 0

3 years ago

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(9x2 + 8x) – (2x2 + 3x)

Arte-miy333 [17]

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Step-by-step explanation:

(18+8x) - (4+3x)

18+8x-4-3x

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3 years ago

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Solve the following two equations. Show all of your

Elena L [17]

Step-by-step explanation:

Given that,

Two equations,

3x + 11 = 11 .....(1)

And

3(x - 3) = 45

3x-9=45 ....(2)

Subtract 11 on both sides of equation (1).

3x + 11-11 = 11-11

3x=0

x = 0

Add 9 to both sides of equation (2)

3x-9+9=45+9

3x = 54

x = 18

Hence, the solution of equation (1) is x=0 and form equation (2) x = 18.

7 0

3 years ago