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2 years ago

PLEASE CHECK MY ANSWERS!! 30 POINTS!

Mathematics

1 answer:

Alenkasestr [34]2 years ago

5 0

From what I’m thinking, I’m sure they’re all correct.

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To earn a fitness reward, your average heart rate while walking must be between 80 and 89 beats per minute, inclusive. Suppose y

eimsori [14]

Answer:

Between 67 and 103 beats per minute

Step-by-step explanation:

The minimum would be 80. That means that the minimum sum would have to be 320 among the four numbers.

85+81+87=253

320-253=67 so 67 will be the minimum

now, we should see the maximum. It will be 89 so the sum of the four numbers cannot be anymore than 89*4 which is 356

So, 356-253=103

3 0

3 years ago

An=an-1+6an-2 <br> n>2 a0=3 a1=6

Svetach [21]

$\begin{cases}a_0=3\\a_1=6\\a_n=a_{n-1}+6a_{n-2}&\text{for }n>2\end{cases}$

Let the generating function for $a_n$ be

$A(x)=\displaystyle\sum_{n\ge0}a_nx^n$

Multiplying both sides by $x^{n-2}$

$a_nx^{n-2}=a_{n-1}x^{n-2}+6a_{n-2}x^{n-2}$

Summing both sides over the non-negative integers greater than or equal to 2 gives

$\displaystyle\sum_{n\ge2}a_nx^{n-2}=\sum_{n\ge2}a_{n-1}x^{n-2}+6\sum_{n\ge2}a_{n-2}x^{n-2}$
$\displaystyle\frac1{x^2}\sum_{n\ge2}a_nx^n=\frac1x\sum_{n\ge1}a_nx^n+6\sum_{n\ge0}a_nx^n$
$\displaystyle\frac1{x^2}\left(\sum_{n\ge0}a_nx^n-a_0-a_1x\right)=\frac1x\left(\sum_{n\ge0}a_nx^n-a_0\right)+6\sum_{n\ge0}a_nx^n$
$\displaystyle\frac1{x^2}\left(A(x)-3-6x\right)=\frac1x\left(A(x)-3\right)+6A(x)$
$A(x)=\dfrac{3x+3}{1-x-6x^2}$
$A(x)=\dfrac3{5(1+2x)}+\dfrac{12}{5(1-3x)}$

For $|x|$ , the two series converge to

$\displaystyle A(x)=\frac35\sum_{n\ge0}(-2x)^n+\frac{12}5\sum_{n\ge0}(3x)^n$
$\implies A(x)=\displaystyle\sum_{n\ge0}\dfrac{3(-2)^n+12(3)^n}5x^n$
$a_n=\dfrac{3(-2)^n+12(3)^n}5=\dfrac{3(-2)^n+4(3)^{n+1}}5$

5 0

3 years ago

A lion is running 75 feet per second and is 108 feet behind a wildebeest that is running at 66 feet per second. A lion can only

AURORKA [14]

Answer:

12 seconds

Step-by-step explanation:

75 t=66t+108

75t-66t=108

9t=108

t=108/9=12

6 0

2 years ago

Read 2 more answers

Question 5 20 pts If the radius of a circle is 28 cm, what is the circumference? (Use 3.14 for pi)

ra1l [238]

Answer:

The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle. ... Use 3.14 for pi

6 0

2 years ago

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Jake carries a green a yellow and a black guitar pic in his pocket he randomly chooses a guitar pic from his pocket before every

Tomtit [17]

Green,yellow,and black = 3 probabilities if choose randomly
Next, since there are two concerts lets multiply 3 times 2 which will equal 6 for the denominator.
Third, since there are going to be one color chosen two times in a row it'll be 2 for the numerator.
It's going to be 2/6 but simplified it'll be 1/3.

8 0

3 years ago

Read 2 more answers