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2 years ago

What is the answer?

Mathematics

2 answers:

shepuryov [24]2 years ago

7 0

Answer:

Step-by-step explanation:

2+3=5, 5+3=8, 8+3=11. 2x3=6, 5x3=15, 8x3=24, 11x3=33

Feliz [49]2 years ago

4 0

Answer:

<u>A</u>

Step-by-step explanation:

Proportional is where everything will match

so we have 2x3=6 5x3=15 8x3=24 11x3=33

This works because it continues the same line of multiplication (x3).

But like B, you start with 4,4=16 which works, but now you have 5x4=21, which will not work because 5x4 will never equal 21

<u>Your answer is A</u>

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A company manufactures 295 toy car each day. How many toy cars dose the company manufacture in 34 days?

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14. Find the distance between (7,217pi/180 ) and (5,-23pi/36 ) on the polar plane.

irina [24]

Answer: the distance is 3.49 units

Step-by-step explanation:

There are some ways to find the exact distance, i will calculate the distance in rectangular coordinates.

When we have a point (R, θ) in polar coordinates, we can transform it into rectangular coordinates as:

x = R*cos(θ)

y = R*sin(θ)

Then we have:

(7,217pi/180 )

R = 7

θ = (217/180)*pi

x = 7*cos( (217/180)*pi) = -5.59

y = 7*sin( (217/180)*pi) = -4.21

So this point is (-5.59, -4.21) in rectangular coordinates.

And the other point is (5,-23pi/36 )

R = 5

θ = -(23/36)*pi

x = 5*cos( -(23/36)*pi ) = -2.11

y = 5*sin( -(23/36)*pi ) = -4.53

So this point is (-2.11, - 4.53)

Then the point distance between those points is:

D = I (-2.11, -4.53) - (-5.59, -4.21) I

D = I (-2.11 + 5.59, -4.53 + 4.21) I

D = I (3.48, -0.32) I = √( (3.48)^2 + (-0.32)^2) = 3.49

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2 years ago

A fossilized leaf contains 18% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as

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Answer: The age of the fossilized leaf is 13829 years.

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

$t=\frac{2.303}{k}\log\frac{a}{a-x}$

where,

k = rate constant

t = age of sample

a = let initial amount of the reactant = 100

a - x = amount left after decay process = $\frac{18}{100}\times 100=18$

a) for completion of half life:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

$t_{\frac{1}{2}}=\frac{0.693}{k}$

$k=\frac{0.693}{5600years}=0.00012years^{-1}$

b) for finding the age

$t=\frac{2.303}{0.00012}\log\frac{100}{18}$

$t=13829years$

The age of the fossilized leaf is 13829 years.

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