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2 years ago

PLEASE HELP, ITS URGENT

Mathematics

2 answers:

kkurt [141]2 years ago

8 0

The answer is 3x+6y+12

Brums [2.3K]2 years ago

5 0

Answer:

3x+.6y+12

Step-by-step explanation:

DIvide everything by -4:

-12x+2.4y-48

-12x/-4=12x/4=3x

2.4y/-4=-.6y

-48/-4=12

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For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,5] into n equal subinterva

sergij07 [2.7K]

Given

we are given a function

$f(x)=x^2+5$

over the interval [0,5].

Required

we need to find formula for Riemann sum and calculate area under the curve over [0,5].

Explanation

If we divide interval [a,b] into n equal intervals, then each subinterval has width

$\Delta x=\frac{b-a}{n}$

and the endpoints are given by

$a+k.\Delta x,\text{ for }0\leq k\leq n$

For k=0 and k=n, we get

$\begin{gathered} x_0=a+0(\frac{b-a}{n})=a \\ x_n=a+n(\frac{b-a}{n})=b \end{gathered}$

Each rectangle has width and height as

$\Delta x\text{ and }f(x_k)\text{ respectively.}$

we sum the areas of all rectangles then take the limit n tends to infinity to get area under the curve:

$Area=\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\Delta x.f(x_k)$

Here

$f(x)=x^2+5\text{ over the interval \lbrack0,5\rbrack}$ $\Delta x=\frac{5-0}{n}=\frac{5}{n}$ $x_k=0+k.\Delta x=\frac{5k}{n}$ $f(x_k)=f(\frac{5k}{n})=(\frac{5k}{n})^2+5=\frac{25k^2}{n^2}+5$

Now Area=

$\begin{gathered} \lim_{n\to\infty}\sum_{k\mathop{=}1}^n\Delta x.f(x_k)=\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\frac{5}{n}(\frac{25k^2}{n^2}+5) \\ =\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\frac{125k^2}{n^3}+\frac{25}{n} \\ =\lim_{n\to\infty}(\frac{125}{n^3}\sum_{k\mathop{=}1}^nk^2+\frac{25}{n}\sum_{k\mathop{=}1}^n1) \\ =\lim_{n\to\infty}(\frac{125}{n^3}.\frac{1}{6}n(n+1)(2n+1)+\frac{25}{n}n) \\ =\lim_{n\to\infty}(\frac{125(n+1)(2n+1)}{6n^2}+25) \\ =\lim_{n\to\infty}(\frac{125}{6}(1+\frac{1}{n})(2+\frac{1}{n})+25) \\ =\frac{125}{6}\times2+25=66.6 \end{gathered}$

So the required area is 66.6 sq units.

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1 year ago

Assume that a procedure yields a binomial distribution with n=3 trials and a probability of success of p=0.300. use a binomial p

NNADVOKAT [17]

$\mathbb P(X=x)=\begin{cases}\dbinom3xp^x(1-p)^{3-x}&\text{for }0\le x\le3\\\\0&\text{otherwise}\end{cases}$

$\implies\mathbb P(X=2)=\dbinom32(0.3)^2(0.7)^1=0.189=18.9\%$

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4 years ago

A store is having a sale on walnuts and chocolate chips. For 8 pounds of walnuts and 4 pounds of chocolate chips, the total cost

astra-53 [7]

Answer:

x = $3.50; y = $2.25

Step-by-step explanation:

First, come up with your two equations where x= price of walnuts and y= price of chocolate chips: 8x + 4y = 37 and 3x + 2y = 15. Solve the first equation.

3x + 2y = 15

3x = 15 - 2y

x = (15 - 2y)/3

Plug in the answer to your second equation.

8(15 - 2y)/3 + 4y = 37

(120 - 16y)/3 + 4y = 37

120 - 16y + 12y = 111

120 - 4y = 111

-4y = -9

y = 2.25

Plug in your answer to find <em>x.</em>

3x + 2(2.25) = 15

3x + 4.5 = 15

3x = 10.5

x = 3.5

Check your equation.

1) 3(3.5) + 2(2.25) = 15

10.5 + 4.5 = 15

15 = 15

2) 8(3.5) + 4(2.25) = 37

28 + 9 = 37

37 = 37

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3 years ago

Correct each of the following errors 4a^2x3a^5=(4+3)a^2+5=7a^7

Bogdan [553]

Answer:

the left hand side dose not equale 7a^7

Step-by-step explanation:

4a^2x3a^5=7a^2+5=7a^7

16ax3a^5=7a^7=7a^7

48a^5=7a^2+5=7a^7

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3 years ago

What’s is 20% of 75 kilograms

LuckyWell [14K]

Answer:

Its 15

Step-by-step explanation:

20% of 75 is just 15 lol. So i guess 15 Kilograms :)

(brainliest if this is correct for you)

7 0

3 years ago