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3 years ago

In 1978, a Japanese designer named Tomoyuki Ono grew the first cube-shaped watermelon.

Mathematics

1 answer:

shtirl [24]3 years ago

3 0

Volume = length * width * height
Volume = 11*11*11
Volume = 1331 cubic inches

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Kendra was asked to find the number of students who planned to attend the evening symphony performance. She was told that 40 per

navik [9.2K]

Picture related to the question is attached below

Answer:

Kendra should have divided by 2 instead of multiplying by 2

Step-by-step explanation:

40 percent = percentage who plan to attend

100% = total percentage of student

From the question ;

When reducing percentages, division is employed and this the equation should be :

40/2 ÷ 100/2

40/2 * 2/100

20 * 1/50

20/50

= 0.4

0.4 * 50

= 20 students

6 0

3 years ago

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What is the difference between law and scientific law.

igomit [66]

Answer:

A hypothesis is a limited explanation of a phenomenon; a scientific theory is an in-depth explanation of the observed phenomenon. A law is a statement about an observed phenomenon or a unifying concept, according to Kennesaw State University. ... However, Newton's law doesn't explain what gravity is, or how it works.

Step-by-step explanation:

8 0

3 years ago

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I need help with this problem from the calculus portion on my ACT prep guide

LenaWriter [7]

Given a series, the ratio test implies finding the following limit:

$\lim _{n\to\infty}\lvert\frac{a_{n+1}}{a_n}\rvert=r$

If r<1 then the series converges, if r>1 the series diverges and if r=1 the test is inconclusive and we can't assure if the series converges or diverges. So let's see the terms in this limit:

$\begin{gathered} a_n=\frac{2^n}{n5^{n+1}} \\ a_{n+1}=\frac{2^{n+1}}{(n+1)5^{n+2}} \end{gathered}$

Then the limit is:

$\lim _{n\to\infty}\lvert\frac{a_{n+1}}{a_n}\rvert=\lim _{n\to\infty}\lvert\frac{n5^{n+1}}{2^n}\cdot\frac{2^{n+1}}{\mleft(n+1\mright)5^{n+2}}\rvert=\lim _{n\to\infty}\lvert\frac{2^{n+1}}{2^n}\cdot\frac{n}{n+1}\cdot\frac{5^{n+1}}{5^{n+2}}\rvert$

We can simplify the expressions inside the absolute value:

$\begin{gathered} \lim _{n\to\infty}\lvert\frac{2^{n+1}}{2^n}\cdot\frac{n}{n+1}\cdot\frac{5^{n+1}}{5^{n+2}}\rvert=\lim _{n\to\infty}\lvert\frac{2^n\cdot2}{2^n}\cdot\frac{n}{n+1}\cdot\frac{5^n\cdot5}{5^n\cdot5\cdot5}\rvert \\ \lim _{n\to\infty}\lvert\frac{2^n\cdot2}{2^n}\cdot\frac{n}{n+1}\cdot\frac{5^n\cdot5}{5^n\cdot5\cdot5}\rvert=\lim _{n\to\infty}\lvert2\cdot\frac{n}{n+1}\cdot\frac{1}{5}\rvert \\ \lim _{n\to\infty}\lvert2\cdot\frac{n}{n+1}\cdot\frac{1}{5}\rvert=\lim _{n\to\infty}\lvert\frac{2}{5}\cdot\frac{n}{n+1}\rvert \end{gathered}$

Since none of the terms inside the absolute value can be negative we can write this with out it:

$\lim _{n\to\infty}\lvert\frac{2}{5}\cdot\frac{n}{n+1}\rvert=\lim _{n\to\infty}\frac{2}{5}\cdot\frac{n}{n+1}$

Now let's re-writte n/(n+1):

$\frac{n}{n+1}=\frac{n}{n\cdot(1+\frac{1}{n})}=\frac{1}{1+\frac{1}{n}}$

Then the limit we have to find is:

$\lim _{n\to\infty}\frac{2}{5}\cdot\frac{n}{n+1}=\lim _{n\to\infty}\frac{2}{5}\cdot\frac{1}{1+\frac{1}{n}}$

Note that the limit of 1/n when n tends to infinite is 0 so we get:

$\lim _{n\to\infty}\frac{2}{5}\cdot\frac{1}{1+\frac{1}{n}}=\frac{2}{5}\cdot\frac{1}{1+0}=\frac{2}{5}=0.4$

So from the test ratio r=0.4 and the series converges. Then the answer is the second option.

8 0

2 years ago

chef ollie has a community garden.she uses 2/6 of the farmland to grow beets and 1/6 of the farmland to grow kale. how much of t

Lorico [155]

Answer:

1/2 of farm land left.

Step-by-step explanation:

Ok so we know that Chef Ollie has a community garden. And that she uses $\frac{2}{6}$ of the farmland to grow beets. The denominator 6 lets you know immediately that the land is divided into equal 6 pieces. We also know that Chef Ollie uses another $\frac{1}{6}$ of the farmland to grow kale.

Because the we need to find out how much land Chef Ollie has left, we need to subtract the amount she used from the whole. Before we can do that we must add up the total amount of used land, and since the denominators are the same we can directly add and subtract with having to change the denominator.

Step 1: Write down important numbers.

$\frac{2}{6}$ , $\frac{1}{6}$ ,

Step 2: Add those numbers together.

$\frac{2}{6} + \frac{1}{6} = \frac{3}{6}$ or $\frac{1}{2}$

Step 3: Write an expression/equation.

$\frac{6}{6} - \frac{3}{6} \\or\\1 - \frac{1}{2}$

Step 4: Solve

= $\frac{3}{6}\\or\\\frac{1}{2}$

(can be written both ways)

And you get your answer: After Chef Ollie has used $\frac{2}{6}$ to grow beets and $\frac{1}{6}$ to grow kale, she has $\frac{1}{2}$ of her farmland left untouched.

To represent this you could draw a circle divided in 6 pieces and shade 3 of them, or simply draw a circle and shade half. As well as drawing a rectangle and dividing it into 6 pieces, shading 3, or draw a rectangle, and shade half.

You are welcome ;) .

3 0

3 years ago

Help me. what is three and one half times one and two thirds

Natali [406]

Answer:

3 1/2 × 1 2/3 = 5 5/6.

5 0

3 years ago

Read 2 more answers