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kykrilka [37]
3 years ago
6

Graph on a coordinate plane each set of (x, y) values. Which set of values describes two quantities that are in a proportional r

elationship?
A) (2, 6)(0, 2)(3, 8)
B) (1, 4)(2, 7)(3, 10)
C) (0, 4)(2, 7)(3, 8.5)
D) (3, 5.1)(0, 0)(5, 8.5)
Mathematics
1 answer:
Ray Of Light [21]3 years ago
8 0

Answer:

(3, 5.1)(0, 0)(5, 8.5)

Step-by-step explanation:

A proportional relationship occurs only with a linear relationship that goes through the origin.

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Fourteen students got a B on the last quiz. This represents 2/5 of the class. How many students are in the class?
Elena-2011 [213]
3/5 of the class is left
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Represent the geometric series using the explicit formula. 3, −6, 12, −24, … f(n) = 3 ⋅ (2)(n−1) f(n) = 3 ⋅ (−2)(n−1) f(n) = f(n
mr Goodwill [35]

Answer:

f(n)=(-2)(n-1)

Step-by-step explanation:

Each term of this Geometric Series (3, −6, 12, −24, ...) can also be found through this explicit formula: f(n)=(-2)(n-1) Because the n^{th} term is found by the product of its common ratio "q", times its predecessor n-1. Where n, refers to the order of the term.

So let's test it, suppose we want to find the 4th term. We know the common ratio and the first term. Then we can write f(n) as:

\\f(n)=3(-2)^{n-1}

f(4)=f(3)*-2⇒-24=12*-2⇒-24=-24

The explicit formula is ok.

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9. 7/2

10. -6

Step-by-step explanation:

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3 years ago
Pascale leaves the office to go home. She walks 12 blocks due north and then 9 blocks due west. How far is she from the office?
Stells [14]

Answer:

15 blocks

Step-by-step explanation:

We can use the Pythagorean theorem to solve the right triangle

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

12^2 + 9^2 = h^2

144+81 = h^2

225= h^2

Taking the square root of each side

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7 0
3 years ago
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Please answer! It would be appreciated if work is also shown!
borishaifa [10]

Quantity of paint left = \frac{389}{480} gallons

Solution:

Quantity of yellow paint = 1\frac{1}{5}=\frac{6}{5} gallons

Quantity of green paint = 1\frac{1}{6}=\frac{7}{6} gallons

Quantity of blue paint = \frac{7}{8} gallons

Quantity of paint used = \frac{3}{4} gallons of each paint

Quantity of paint left = 1-\frac{3}{4}=\frac{1}{4} gallons of each paint

Quantity of paint left = (\frac{6}{5}+\frac{7}{6}+\frac{7}{8})\times\frac{1}{4}

Taking LCM for 5, 6, 8, we get LCM = 120

(\frac{6}{5}+\frac{7}{6}+\frac{7}{8})\times\frac{1}{4}=(\frac{144}{120}+\frac{140}{120}+\frac{105}{120})\times\frac{1}{4}

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Hence, Mark will have \frac{389}{480} gallons of paint left after painting the mural.

3 0
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