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slamgirl [31]
3 years ago
8

Enter numbers into the table so that the paired values are in a proportional relationship.

Mathematics
2 answers:
Alisiya [41]3 years ago
8 0

Answer:

x- 5

y- 6

Step-by-step explanation:

A proportional relationship is a relationship for which a proportional constant y/x exists and for which it passes through (0,0) or the origin.

The proportional constant is 6.

18/3=6

42/7=7

54/9=6

Thus the filled in blanks should be x 1, 3, 5, 7, 9 and y 6, 18, 30, 42, 54.


Fantom [35]3 years ago
6 0

Answer:

<h2>The missing numbers are 5 and 6.</h2>

Step-by-step explanation:

From the given table, if we divide each pair as y/x, we find the ratio is 6.

\frac{18}{3}=6\\\frac{42}{7}=6\\\frac{54}{9}=6

Therefore, the missing numbers have to be in the same ratio.

\frac{x}{1}=6\\x=6

\frac{30}{x}=6\\ x=5

So, the missing numbers are 5 and 6, because they are also in the same ratio of 6.

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Naily [24]
The answer is x = 6

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7 0
3 years ago
Help me with these questions
Elena L [17]

Answer: a = 4, b = 163,422

<u>Step-by-step explanation:</u>

P = P_{0} e^{kt}   P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 <em>(converted 21% into a decimal)</em>

t = 36 yrs <em>(2006 - 1970) </em>

P = P_{0} e^{kt}   <em>need to solve for P₀</em>

7003 = P_{0} e^{(.21)(36)}

7003 = P_{0} e^{7.56}

7003 = P₀ (1920)

\frac{7003}{1920} = P_{0}

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 <em>(converted 21% into a decimal)</em>

t = 15 yrs <em>(2021 - 2006) </em>

P = P_{0} e^{kt}   <em>need to solve for P₀</em>

P = 7003 e^{(.21)(15)}

P = 7003 e^{3.15}

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

<u>Step-by-step explanation:</u>

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0      or      x + 1 = 0

 x = 2          or         x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴     or   e¹ = e¹

TRUE             TRUE

*****************************************

Answer: 0 = ln 1

<u>Step-by-step explanation:</u>

e^{-10} = \frac{1}{e^{10}}

ln(e^{-10}) = ln(\frac{1}{e^{10}})

-10 = ln 1 - 10   <em>log rules say division is subtraction</em>

 0 = ln 1



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3 years ago
What are the correct justifications , listed in proper order?
Sergio039 [100]

Answer:

4 5 6 7

Step-by-step explanation:

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a jacket cost 4 times as much as a shirt. if the total cost of the jacket and shirt is $280, how much does the shirt cost ------
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The answer I got was A.)$56.

Hope this helps!<3

Comment if you need help on how I got that answer!

3 0
3 years ago
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