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3 years ago

Double my number add four subtract my number and subtract three

1 answer:

3 0

X is your number

double it means 2 times x or 2x

add 4
2x+4

subtract my number
2x+4-x=x+4

subtract 3

x+4-3=x+1

the result is x+1 or your number plus 1

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The deck of a bridge is suspended 275 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of

Ivenika [448]

Answer:

Our equation for the height is:

y(t) = 275 - 16*t^2.

a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:

$AV = \frac{y(t2) - y(t1)}{t2 - t1}$

Then:

i) t1 = 4s, t2 = 4s + 0.1s = 4.1s

The average velocity is:

$AV = \frac{(275 - 16*4.1^2) - (275 - 16*4^2)}{4.1 - 4} = \frac{16(4^2 - 4.1^2)}{0.1} = -129.6$

And the units will be ft/s, so the average speed is:

-129.6 ft/s

The minus sign is because te pebble is falling down.

ii) t1 = 4s, t2 = 4s + 0.05s = 4.05s

The average velocity is:

$AV = \frac{(275 - 16*4.05^2) - (275 - 16*4^2)}{4.05 - 4} = \frac{16(4^2 - 4.05^2)}{0.05} = -128.8$

So the average speed is -128.9 ft/s

iii) t1 = 4s, t2 = 4s + 0.01s = 4.01s

The average speed is:

$AV = \frac{(275 - 16*4.01^2) - (275 - 16*4^2)}{4.01 - 4} = \frac{16(4^2 - 4.01^2)}{0.01} = -128.16$

The average speed is -128.16 ft/s.

b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.

v(t) = dy(t)/dt.

v(t) = -2*16*t + 0

Then the velocity at t = 4s is:

v(4s) = -32*4 = -128

The instantaneous velocity at t = 4s is -128 ft/s.

3 0

3 years ago

Rafael wanted to order half a medium pizza at a restaurant. The waiter told him that a medium pizza could be cut into 6 or 8 sli

Nady [450]

Answer:

The wrong in Rafael reason is that 3/6 = 4/8 = 1/2 pizza

Step-by-step explanation:

* Lets explain how to solve the problem

- When we have a quantity we can divided it to many equivalent

fractions

- Equivalent fractions means fractions equal each other

- We can find the equivalent fraction by multiply or divide the two

terms of the fraction by the same number

- Ex: We can divide a circle into two equal parts each part is 1/2 the

circle, if we multiply each term of the fraction by 2 (up and down)

then we will have 2/4 which is equivalent to 1/2 the circle

- Then we can divide the circle by 2 parts with many equivalent fractions

1/2 = 2/4 = 3/6 = ..................

* Lets solve the problem

- Rafael wanted to order half a medium pizza

- The medium pizza could be cut into 6 or 8 slices

∵ The half of 6 is 3/6

∵ The half of 8 is 4/8

- Lets simplify the two fraction

∵ 3/6 = 1/2 by dividing up and down by 3

∵ 4/8 = 1/2 by dividing up and down by 4

∴ There is no difference between the two orders, both of them

equal half the pizza

∴ The wrong in Rafael reason is that 3/6 = 4/8 = 1/2 pizza

5 0

2 years ago

Ricardo lost 6 golf balls while playing yesterday he bought a box of twelve golf balls and lost 4 on the course today he now has

zepelin [54]

Ricardo ended up with 18 golf balls. If he lost 4 on the course today, he then had 22 to start with today. This 22 total includes a box of 12 balls he bought today. This means he had 22 - 12 yesterday, making 10. Yesterday he lost 6 while playing. Ricardo had 16 balls to start with.

5 0

3 years ago

Someone please help with this proof

Novosadov [1.4K]

Easy so you have to choose them then add them and yeah hope this helps bbg

7 0

2 years ago

I WILL DO ANYTHING YOU NAME IT BUT PLz SOLVE THIS

vekshin1

Answer: AD = 9cm

Step-by-step explanation: This is a 30-60-90 triangle, so the hypotenuse is equal to twice the length of the short side of the right angle.

BC is the short side of the large triangle, so AB, the hypotenuse of the large triangle is 2×6, 12 cm

BC is also the hypotenuse of the small triangle, ΔBCD, so it is twice the length of BD, to that makes BD = 6/2= 3

Subtract BD from AB.

That's 12 - 3 = 9 the length of AD

6 0

2 years ago