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tatuchka [14]
3 years ago
13

There are 16 types of flowers used to decorate for a party. Twelve of the flowers types last an average of 4 days before they wi

lt. The remaining flowers last an average of 6 days. What is the average number of days before the flowers wilt?
Mathematics
2 answers:
KATRIN_1 [288]3 years ago
5 0
If 12 types only last 4 days, and the rest last an average of 6, then the average amount of days that ALL the flowers wilt would be 5. To find the average, you add 6 and 4 to get 10, and since there is only 2 number we added togehter to get 10, you would divide 10 by 2 to get 5!
sp2606 [1]3 years ago
4 0
I think it is 5 hope this helps!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


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Which pair of measurements is not equivalent?
mamaluj [8]
D is not equivalent
hope this helps :)
5 0
3 years ago
Read 2 more answers
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
2 years ago
Help ASSAP . Find the perimeter I will give you 20 points and brainlyist.
Tpy6a [65]

Answer:

I think it may be 120 cm

Step-by-step explanation:

A F is 13 using pythagorean theorem on triangle CED and applying the hypotenuse length to A F.

ABC is similar to triangle CED and is dilated by a factor of 3  so the base is 36.

using pythagorean theorem on triangle ABC gets the hypotenuse length of 39 which can be applied to FE

add all the values together

39 + 13 + 15 + 36 +12 +5 = 120

5 0
3 years ago
One canned juice drink is 25​% orange​ juice; another is 10​% orange juice. How many liters of each should be mixed together in
Talja [164]
11 liters of 25% orange juice, 4 liters of 10% orange juice:

1' let x to be 25% orange juice and y be 10% orange juice

2' .25x+.10y=(15).21

3' x+y=15

4' 2.5x+y=31.5 divide all sides by 10

5' -x-y=-15 multiply all sides by -1

6' 1.5x=16.5

7' x=11

8' y=15-11=4

so 11 and 4 are the answers.


4 0
3 years ago
At Glenridge High School, 20 percent of the
Makovka662 [10]

Answer:

40 percent

Step-by-step explanation:

60 - 20 = 40

Reasoning: The amount of seniors that attended was 20 percent, so 60 (total students) percent minus 20 percent is equal to 40 percent.

Hope this helps!

3 0
3 years ago
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