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MatroZZZ [7]
4 years ago
7

As Saturn revolves around the sun, it travels at a rate of approximately 6 miles per second. Convert this rate to miles per minu

te. At this rate, how many miles will Saturn travel in 4 minutes?
Mathematics
1 answer:
Digiron [165]4 years ago
6 0
360 miles per minute 1440 miles in 4 minutes. :)
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(1 point) consider the function f(t)=⎧⎩⎨⎪⎪⎪⎪0,−5,−6,6,t<00≤t<11≤t<7t≥7;f(t)={0,t<0−5,0≤t<1−6,1≤t<76,t≥7; 1. wr
sergij07 [2.7K]
f(t)=\begin{cases}0&\text{for }t

Recall that

u(t)=\begin{cases}0&\text{for }t

Take it one piece at a time. For t\ge0, we can scale u(t) by -5:

-5u(t)=\begin{cases}0&\text{for }t

If we shift the argument by 1 and scale by -5, we have

-5u(t-1)=\begin{cases}0&\text{for }t

so if we subtract this from -5u(t), we'll end up with

-5u(t)+5u(t-1)=\begin{cases}0&\text{for }t

For the next piece, we can add another scaled and shifted step like

-6u(t-1)+6u(t-7)=\begin{cases}0&\text{for }t

so that

-5u(t)+5u(t-1)-6u(t-1)+6u(t-7)=\begin{cases}0&\text{for }t

For the last piece, we add one more term:

6u(t-7)=\begin{cases}0&\text{for }t

and so putting everything together, we get f(t):

f(t)\equiv-5u(t)+5u(t-1)-6u(t-1)+6u(t-7)+6u(t-7)
f(t)\equiv-5u(t)-u(t-1)+12u(t-7)
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3 years ago
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Answer:

c.132

Step-by-step explanation:

so we are given the diameter which is 42m **the diameter is the straight line that passes through the middle of the circle**

but in order to find the circumference we need to find the radius **the radius is always half (1/2,0.5) of the diameter**

so we have to divide 42/2 which equals 21

now we need to set up the formula;

c=2πr/c=2xπxr  **when unknown variables such as 'r' are next to another mathematical numeral such as the pi symbol you don't really have to but the multiplication symbol between them**

c=2π21

=131.946891451

and in your case, it seems we must round to the tenths place so the nine then "becomes a ten" and you're left with 132

good luck :)

i hope this helps

have a good one !!

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zmey [24]

Answer:

Slope=1

Step-by-step explanation:

Slope=y1-y2/x1-x2

Where x1,y1= (1, 1) and X2,y2=(-3, -3)

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