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2 years ago

If an object travels at five feet per second, how many feet does it travel in one hour?

1 answer:

3 0

The known facts in the given problem is that the object travels at the rate of 5 ft/sec.
Now we know that
Distance travelled in 5 second = 5 feet
Distance travelled in 1 second = (5/5) feet
   = 1 feet
Distance travelled in 1 minute = (1 * 60) feet
   = 60 feet
Distance travelled in 60 minutes = (60 * 60) feet
   = 3600 feet
So the distance travelled by the object in 1 hour is 3600 feet.

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Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.

vekshin1

Answer:

(a) $l = -w + 21$

(b) Domain: $0$ (See attachment for graph)

Step-by-step explanation:

Given

$2(l + w) = 42$

$l = length$

$w = width$

Solving (a): A function; l in terms of w

All we need to do is make l the subject in $2(l + w) = 42$

Divide through by 2

$l + w = 21$

Subtract w from both sides

$l + w - w = 21 - w$

$l = 21 - w$

Reorder

$l = -w + 21$

Solving (b): The graph

In (a), we have:

$l = -w + 21$

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be $0$

--------------------------------------------------------------------------------------------------

To check this

When $w = 1$

$l = -1 + 21$

$l = 20$

$(w,l) = (1,20)$

When $w = 20$

$l = -20 + 21$

$l = 1$

$(w,l)= (20,1)$

--------------------------------------------------------------------------------------------------

See attachment for graph

Solving (c): Write l as a function $f(w)$

In (a), we have:

$l = -w + 21$

Writing l as a function, we have:

$l = f(w)$

Substitute $f(w)$ for l in $l = -w + 21$

$l = -w + 21$ becomes

$f(w) = -w + 21$

5 0

2 years ago

How do i get points in this website im lowkey confused

GarryVolchara [31]

Answer:

so when you answer questions you get points. The person that posted the question can choose how many points they want you to earn for answering their question, or if you haven't updated your profile youll get 5 points i think

Step-by-step explanation:

3 0

2 years ago

What is the greatest common factor of 65 and 95

alexandr402 [8]

The answer is 5. this can be found by creating a factor tree of both numbers

8 0

3 years ago

Read 2 more answers

the point (- 7, 4) is reflected over the line x = - 3 . Then , the resulting point is reflected over the line y = x . Where is t

uysha [10]

Answer:

(-10,-7)

Step-by-step explanation:

first reflect over x=-3

(-7,-10)

then reflect over y=x

(-10,-7)

6 0

2 years ago

Please help. Evaluate 5(n+3)-7n , when n = 6

never [62]

Answer:

Step-by-step explanation:

because if N = 6, then you will have to substitute the n to n and then do the order of operation. first it will be 6+3=9 and then 9*5=45. then you will do 7*6=42 and then subtract 45-42=3

5 0

2 years ago

Read 2 more answers