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3 years ago

How many meters in 1 kilometer

Mathematics

2 answers:

ahrayia [7]3 years ago

8 0

1 kilometer = 1000 meters

mixas84 [53]3 years ago

7 0

1 kilometer = 10000 meters
1 kilometer = 100000 centimeters
I can so more and explain more is you want Hope it helps
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Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480.

miss Akunina [59]

Answer:

Here's what I get.

Step-by-step explanation:

Part A. Equation in standard form

The question is asking you to find the equation of a straight line that passes through two points

Let x = the number of days

and y = the cost

Then the coordinates of the two points are (2,225) and (5,480).

(i) Calculate the slope of the line

$\begin{array}{rcl}m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\& = & \dfrac{480 - 225}{5 - 2}\\\\& = & \dfrac{255}{3}\\\\& = & 85\\\end{array}$

In other words, the daily rental is $85/day.

(ii) Calculate the y-intercept

$\begin{array}{rcl}y & = & mx + b\\480 & = & 85 \times 5 + b\\480 & = & 425 + b\\b & = & 55\\\end{array}$

(iii) Write the equation for the line

y = 85x + 55

That is, the cost is $55 plus $85/day

Part B. Equation in function notation

Replace y with ƒ(x)

ƒ(x) = 85x + 55

Part C. Graphing

Let's say you want to plot a graph of the rental cost for up to ten days.

(i) Calculate two points on the graph.

When x = 0, y = 85; when x = 10, y = 905.

(ii) Scale your axes

A good number of intervals is about ten.

Your x-axis should have tick marks at 1-day intervals.

Your largest y-value is 905. Ten intervals would make about $90/interval. However, you should round that up to $100/interval for easy interpolation.

Your y-axis will run from 0 to $1000 in $100 intervals.

Plot your two points and draw a straight line through them.

(iii) Axis labels

x represents the number of days, so the label on the x-axis could be "No. of days."

y represents the cost of renting the boat, so the label on the y-axis could be "Rental cost."

Your graph should resemble the one below.

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4 years ago

Which expression is equivalent to 32⋅32⋅32⋅32 ? (Also All The 32s Are Fractions, The Lines Just Wont Come Up.)

Monica [59]

The repeated multiplication of a number for n times results in the nth exponent of the number.

Therefore,
$\frac{1}{32} \cdot \frac{1}{32} \cdot \frac{1}{32} \cdot \frac{1}{32} =\left( \frac{1}{32} \right)^4$

3 0

3 years ago

PLEASE HELP 10 POINTS

Natasha2012 [34]

Answer:

Step-by-step explanation:

triangles have the measure of 180 degrees. 70+25=95 180-95=85

7 0

3 years ago

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Bonus <br> how do i solve this? please show details on how to do this.

Dafna1 [17]

Answer:

Explanation:

First off, you could just solve this by testing answers, but since it asks for substitution, here it is:

We can use equation 2 or 3 for the first part, I will use 2 and then 3 just because I think 2 might be easier:

a - b = -2

I will get a by itself by adding b to each side:

a = b - 2

now plug in for the a in equation 3:

2(b-2) + b = 5

We can solve for b now:

2b - 4 + b = 5

3b -4 =5

3b = 9

b = 3

Now we can plug in b to our equation for a to find a:

a = 3 - 2

a = 1

Now that we know a and b lets plug it into the first equation and solve for c:

2(1) - (3) + c = -5

-1 + c = -5

c = -4

Now we know what each variable is.

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4 years ago

Which of the following options is an equivalent function to f(x) = 2(5)^2x? choices: f(x) = 50^x f(x) = 100^x f(x) = 2(25)^x f(x

Stells [14]

For this case we have the following function:

$f (x) = 2 (5) ^ {2x}$

By power properties we can rewrite the function as follows:

$f (x) = 2 ((5) ^ 2) ^ x$

We have then:

$(5) ^ 2 = 25$

Then rewriting the function we have:

$f (x) = 2 (25) ^ x$

Answer:

an equivalent function to $f (x) = 2 (5) ^ {2x}$ is:

$f (x) = 2 (25) ^ x$

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4 years ago

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