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kipiarov [429]
3 years ago
10

select the correct answer from the drop-down menu. a rectangular prism has a length, width, and height of 2/3 in, 3/5 inch, and

4/7 inch, respectfully. the volume of the rectangular prism is ______cubic inch. 9/15 - 12/105 - 24/105 - 6/105​
Mathematics
1 answer:
Yanka [14]3 years ago
6 0

Answer:

just multiply length times width times height

Step-by-step explanation: i did it before and i go it right and it never fails

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The sum of three numbers is 57
Katarina [22]
The first number is 15. The 2nd number is 30 cuz it’s double the first. The third number is 18 less than 30 so it is 12. They all add up to 57. Third # = 12
5 0
3 years ago
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EXAMPLE 2 Prove that 9ex is equal to the sum of its Maclaurin series. SOLUTION If f(x) = 9ex, then f (n + 1)(x) = for all n. If
amm1812

Answer:

To Prove: 9e^x is equal to the sum of its Maclaurin series.

Step-by-step explanation:

If f(x) = 9e^x, then f ^{(n + 1)(x)} =9e^x for all n. If d is any positive number and   |x| ≤ d, then |f^{(n + 1)(x)}| = 9e^x\leq  9e^d.

So Taylor's Inequality, with a = 0 and M = 9e^d, says that |R_n(x)| \leq \dfrac{9e^d}{(n+1)!} |x|^{n + 1} \:for\: |x| \leq  d.

Notice that the same constant M = 9e^d works for every value of n.

But, since lim_{n\to\infty}\dfrac{x^n}{n!} =0 $ for every real number x$,

We have lim_{n\to\infty} \dfrac{9e^d}{(n+1)!} |x|^{n + 1} =9e^d lim_{n\to\infty} \dfrac{|x|^{n + 1}}{(n+1)!} =0

It follows from the Squeeze Theorem that lim_{n\to\infty} |R_n(x)|=0 and therefore lim_{n\to\infty} R_n(x)=0 for all values of x.

THEOREM\\If f(x)=T_n(x)+R_n(x), $where $T_n $is the nth degree Taylor Polynomial of f at a and  $ lim_{n\to\infty} R_n(x)=0 \:  for \: |x-a|

By this theorem above, 9e^x is equal to the sum of its Maclaurin series, that is,

9e^x=\sum_{n=0}^{\infty}\frac{9x^n}{n!}  for all x.

6 0
3 years ago
The distance between river city and pine bluff is 6 inches what is the scale of the map
son4ous [18]
The distance between pine bluff and river city is approx. 535.1 miles ( i had to search this up because without that information you cant find out your scale). 535.1 miles is 2 825 328 feet (or 535.1 X 5 280, because there are 5280 feet in a mile), and 2 825 328 feet is <span>33 903 936 inches (or 2 825 328 X 12, because there are 12 inches in a foot). Now if you take 33 903 936, and divide it by 6, which was how many inches were shown on your map, you get </span><span>5 650 656. and so, the scale on your map is 1:5 650 656, or for every 1 inch on your map, there are 5 650 656 inches in real life.</span>
8 0
3 years ago
Which equation is true?<br>A 6(2) - 12<br>B 3(x) = 12<br>C 7 + 5 = 2<br>D 12 = 4(2)+ 3​
PilotLPTM [1.2K]
The answer is C
Step by step
3 0
3 years ago
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What is the length of the altitude to the longest side of a triangle, if the lengths
sergeinik [125]

Answer:

hb ≈ 7.06cm

Step-by-step explanation:

Using the formulas:

A=hbb

2

A=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving for <em>hb</em>

hb=﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

2b=﹣154+2·(15·17)2+2·(15·8)2﹣174+2·(17·8)2﹣84

2·17

≈7.05882cm

6 0
3 years ago
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