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2 years ago

6km in 2 hours as a rate in simplest form

Mathematics

1 answer:

Brrunno [24]2 years ago

6 0

6km in 2 hours =

6/2 = 3

so 3 km per hour

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Nimfa-mama [501]

First of all, we can observe that

$x^2-6x+9 = (x-3)^2$

So the expression becomes

$\dfrac{x^2-4}{\sqrt{(x-3)^2}} = \dfrac{x^2-4}{|x-3|}$

This means that the expression is defined for every $x\neq 3$

Now, since the denominator is always positive (when it exists), the fraction can only be positive if the denominator is also positive: we must ask

$x^2-4 \geq 0 \iff x\leq -2 \lor x\geq 2$

Since we can't accept 3 as an answer, the actual solution set is

$(-\infty,-2] \cup [2,3) \cup (3,\infty)$

7 0

2 years ago

The basic wage earned by a truck driver for a a 40 hour week is 560.00$ for overtime work the driver is paid one and a half hour

Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

overtime = 1/2 x daily hourly rate

daily hourly rate = amount earned in a week / total hours worked

560 /40 = 14

overtime = 14/2 = 7

6 0

2 years ago

I giveeeeeeeeeeee brainlillstttttttttttt

Lana71 [14]

Answer:

after reflection over y axis

a 9,7

b 9,6

c 0,6

d 0,7

4 0

2 years ago

Read 2 more answers

You place the spring vertically with one end on the floor. You then drop a book of mass 1.50 kg onto it from a height of 0.900 m

Alex777 [14]

Answer:

The value of the maximum distance the spring will be compressed

x = 0.143 m= 14.3 cm

Step-by-step explanation:

Given data

Mass m = 1.5 kg

h = 0.9 m

k = 1500 $\frac{N}{m}$

Since the book is released from a height h = 0.9 m above the top of the spring. so the total distance

y = h + x

Now in that case for the spring

$mg y= \frac{1}{2} k x^{2}$

$mg(h +x) = \frac{1}{2} k x^{2}$

By rearranging the above equation we get

$k x^{2} - 2mgx - 2mg h = 0$

Put all the values in above equation we get

$1500x^{2} - 29.43 x - 26.48 = 0$

By solving the above equation we get

x = 0.143 m= 14.3 cm

This is the value of the maximum distance the spring will be compressed.

8 0

2 years ago

Please help. 20 points and brainliest.

storchak [24]

Answer:

choce 3

Step-by-step explanation:

you can add n = 1,2,3,4 ....

you will receive the values as 1, 1/2, 1/4, 1/7

........

a⁰ = 1

5⁰ = 1

5 0

2 years ago