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Anastasy [175]
3 years ago
10

If m is a positive integer, what is the least value of m for which 225 is a factor of 120m? Please explain your answer

Mathematics
2 answers:
frutty [35]3 years ago
5 0

Answer:

C) 15

Step-by-step explanation:

120 times 15 equalls 1800

1800 divide by 225 equals 8

Dafna1 [17]3 years ago
3 0
The correct answer would be C) 15.
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Hurry Need Help I Will Give Brainliest!!
Drupady [299]

Answer:

Measure of angle R:                      Measure of angle S:

42 degrees                                     <em><u>90 - 42 = 48</u></em>

30 degrees                                     <em><u>90 - 60 = 30</u></em>

84 degrees                                  <em>   </em><em><u>90 - 84 = 6</u></em>

<em><u>Complimentary angles are angles whose sum is 90 degrees</u></em>

7 0
2 years ago
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Use the definition of a Taylor series to find the first three non zero terms of the Taylor series for the given function centere
Ket [755]

Answer:

e^{4x}=e^4+4e^4(x-1)+8e^4(x-1)^2+...

\displaystyle e^{4x}=\sum^{\infty}_{n=0} \dfrac{4^ne^4}{n!}(x-1)^n

Step-by-step explanation:

<u>Taylor series</u> expansions of f(x) at the point x = a

\text{f}(x)=\text{f}(a)+\text{f}\:'(a)(x-a)+\dfrac{\text{f}\:''(a)}{2!}(x-a)^2+\dfrac{\text{f}\:'''(a)}{3!}(x-a)^3+...+\dfrac{\text{f}\:^{(r)}(a)}{r!}(x-a)^r+...

This expansion is valid only if \text{f}\:^{(n)}(a) exists and is finite for all n \in \mathbb{N}, and for values of x for which the infinite series converges.

\textsf{Let }\text{f}(x)=e^{4x} \textsf{ and }a=1

\text{f}(x)=\text{f}(1)+\text{f}\:'(1)(x-1)+\dfrac{\text{f}\:''(1)}{2!}(x-1)^2+...

\boxed{\begin{minipage}{5.5 cm}\underline{Differentiating $e^{f(x)}$}\\\\If  $y=e^{f(x)}$, then $\dfrac{\text{d}y}{\text{d}x}=f\:'(x)e^{f(x)}$\\\end{minipage}}

\text{f}(x)=e^{4x} \implies \text{f}(1)=e^4

\text{f}\:'(x)=4e^{4x} \implies \text{f}\:'(1)=4e^4

\text{f}\:''(x)=16e^{4x} \implies \text{f}\:''(1)=16e^4

Substituting the values in the series expansion gives:

e^{4x}=e^4+4e^4(x-1)+\dfrac{16e^4}{2}(x-1)^2+...

Factoring out e⁴:

e^{4x}=e^4\left[1+4(x-1)+8}(x-1)^2+...\right]

<u>Taylor Series summation notation</u>:

\displaystyle \text{f}(x)=\sum^{\infty}_{n=0} \dfrac{\text{f}\:^{(n)}(a)}{n!}(x-a)^n

Therefore:

\displaystyle e^{4x}=\sum^{\infty}_{n=0} \dfrac{4^ne^4}{n!}(x-1)^n

7 0
1 year ago
Hello look below please
olchik [2.2K]

Answer:

it is 1

Step-by-step explanation:

i think

6 0
2 years ago
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Susan walks for 10 hours each week. Find the number of hours she walks in 1, 2, and 4 week(s).
natita [175]
She walks 70 hours in total 10 20 and 40
7 0
2 years ago
Find the measure of angle Y
Musya8 [376]

Answer:

∠y=60°

Step-by-step explanation:

Question says to find the measure of the angle Y.

We have been given a picture of triangle XYZ. All angles are marked with same sign so that indicates that all three angles are equal.

∠x = ∠y = ∠z...(i)

We know that sum of all three angles of the triangle is always 180°.

So we can write:

∠x+∠y+∠z=180°

∠y+∠y+∠y=180°  {using equation (i) }

3∠y=180°

divide both side by 3

∠y=60°

Hence final answer is the measure of angle y is 60 degree.

8 0
3 years ago
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