What is the value of the flowers?

Mathematics

1 answer:

ehidna [41]3 years ago

6 0

Answer:

Step-by-step explanation:

6*6=36

6+10=16

2*10=20

Flower=10-6+20=24

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For the function below, find a formula for the upper sum obtained by dividing the interval [a comma b ][a,b] into n equal subin

Vlad [161]

Answer:

See below

Step-by-step explanation:

We start by dividing the interval [0,4] into n sub-intervals of length 4/n

$[0,\displaystyle\frac{4}{n}],[\displaystyle\frac{4}{n},\displaystyle\frac{2*4}{n}],[\displaystyle\frac{2*4}{n},\displaystyle\frac{3*4}{n}],...,[\displaystyle\frac{(n-1)*4}{n},4]$

Since f is increasing in the interval [0,4], the upper sum is obtained by evaluating f at the right end of each sub-interval multiplied by 4/n.

Geometrically, these are the areas of the rectangles whose height is f evaluated at the right end of the interval and base 4/n (see picture)

$\displaystyle\frac{4}{n}f(\displaystyle\frac{1*4}{n})+\displaystyle\frac{4}{n}f(\displaystyle\frac{2*4}{n})+...+\displaystyle\frac{4}{n}f(\displaystyle\frac{n*4}{n})=\\\\=\displaystyle\frac{4}{n}((\displaystyle\frac{1*4}{n})^2+3+(\displaystyle\frac{2*4}{n})^2+3+...+(\displaystyle\frac{n*4}{n})^2+3)=\\\\\displaystyle\frac{4}{n}((1^2+2^2+...+n^2)\displaystyle\frac{4^2}{n^2}+3n)=\\\\\displaystyle\frac{4^3}{n^3}(1^2+2^2+...+n^2)+12$

but

$1^2+2^2+...+n^2=\displaystyle\frac{n(n+1)(2n+1)}{6}$

so the upper sum equals

$\displaystyle\frac{4^3}{n^3}(1^2+2^2+...+n^2)+12=\displaystyle\frac{4^3}{n^3}\displaystyle\frac{n(n+1)(2n+1)}{6}+12=\\\\\displaystyle\frac{4^3}{6}(2+\displaystyle\frac{3}{n}+\displaystyle\frac{1}{n^2})+12$

When $n\rightarrow \infty$ both $\displaystyle\frac{3}{n}$ and $\displaystyle\frac{1}{n^2}$ tend to zero and the upper sum tends to

$\displaystyle\frac{4^3}{3}+12=\displaystyle\frac{100}{3}$

8 0

3 years ago

Multiply. (−0.64)(−2.5) Enter your answer as a decimal in the box.

lubasha [3.4K]

The answer would be 1.6

4 0

3 years ago

Read 2 more answers

The two top NBA players played a basketball game against the RSM team. Together the NBA players made 85 baskets, scoring one poi

Afina-wow [57]

Answer: 36 three-point field goals.

Step-by-step explanation:

To solve this problem, set up a system of equations. Let's call the number of one-pointers $w$ , the number of two-pointers $x$ , and the number of three-pointers $y$ . We are trying to find $y$ here. We also know that $w+x+y=85$ , because that is the total amount of baskets, and also that $w+2x+3y=184$ , which is the total amount of points. We know that there were 22 free throws, so that means we can take away 22 baskets from the first equation, and also 22 points from the second equation. Now the equations are $x+y=63$ and $2x+3y=184$ . Solving the equations using our knowledge of systems of equations, you get that $y=36$ . So, 36 is the answer. Let me know if anything was unclear, and I hope this helped.