Ask question

Ask question

All categories

3 years ago

10

Jane bought a 20-ounce smoothie that contains 350 calories plus some apples at about 95 calories each. Lin bought a 255-calorie

fruit drink plus some bananas at about 105 calories each. If Jane and Lin each bought 5 pieces of fruit, whose purchase contains more calories?

1 answer:

IRISSAK [1]3 years ago

5 0

Answer
bhbhbhbaiwjbsi

You might be interested in

Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. Compare y

DiKsa [7]

The area of the surface is given exactly by the integral,

$\displaystyle\pi\int_0^5\sqrt{1+(y'(x))^2}\,\mathrm dx$

We have

$y(x)=\dfrac15x^5\implies y'(x)=x^4$

so the area is

$\displaystyle\pi\int_0^5\sqrt{1+x^8}\,\mathrm dx$

We split up the domain of integration into 10 subintervals,

[0, 1/2], [1/2, 1], [1, 3/2], ..., [4, 9/2], [9/2, 5]

where the left and right endpoints for the $i$ -th subinterval are, respectively,

$\ell_i=\dfrac{5-0}{10}(i-1)=\dfrac{i-1}2$

$r_i=\dfrac{5-0}{10}i=\dfrac i2$

with midpoint

$m_i=\dfrac{\ell_i+r_i}2=\dfrac{2i-1}4$

with $1\le i\le10$ .

Over each subinterval, we interpolate $f(x)=\sqrt{1+x^8}$ with the quadratic polynomial,

$p_i(x)=f(\ell_i)\dfrac{(x-m_i)(x-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+f(m_i)\dfrac{(x-\ell_i)(x-r_i)}{(m_i-\ell_i)(m_i-r_i)}+f(r_i)\dfrac{(x-\ell_i)(x-m_i)}{(r_i-\ell_i)(r_i-m_i)}$

Then

$\displaystyle\int_0^5f(x)\,\mathrm dx\approx\sum_{i=1}^{10}\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx$

It turns out that the latter integral reduces significantly to

$\displaystyle\int_0^5f(x)\,\mathrm dx\approx\frac56\left(f(0)+4f\left(\frac{0+5}2\right)+f(5)\right)=\frac56\left(1+\sqrt{390,626}+\dfrac{\sqrt{390,881}}4\right)$

which is about 651.918, so that the area is approximately $651.918\pi\approx\boxed{2048}$ .

Compare this to actual value of the integral, which is closer to 1967.

4 0

3 years ago

Explain why you would make one of the addends a tens number when solving an addition problem.

____ [38]

I see so many people ask this. What does this mean?

6 0

3 years ago

In Exercise 26, find the height of the right prism.

natta225 [31]

Answer:

h= 9.473684 in.

Step-by-step explanation:

1/2(8)(15)*2+2(15h)+8h=480

120+38h=480

38h=480-120

38h=360

h= 9.473684 in.

3 0

3 years ago

Any Quetion in the steps to solve it are shown below 2x-1/4(12x+4)=3

Crazy boy [7]

2x- 3x - 1 =3
-x=4
x=-4

6 0

3 years ago

True or False. <br>When multiplying two like bases, we add the exponents.

MrRissso [65]

Hi.

If I had to say, I think I would say that is True.

Sorry if I'm wrong, but I really think it's true...

7 0

3 years ago

Read 2 more answers