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topjm [15]
3 years ago
14

the equation y equals 0.25 x describes a proportional relationship between X and Y what is the constant of proportionality

Mathematics
1 answer:
Fittoniya [83]3 years ago
4 0
The constant of proportionality is for every 1 x, there is 0.25 y. y = 0.25, and on a graph, x is always the "1." Since x is worth 1, y must be worth 0.25.
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Step-by-step explanation:

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Read 2 more answers
Find the sum of a finite geometric series. The Smiths spent $2,000 on clothes in a particular year. If they increase the amount
boyakko [2]

\bf \stackrel{\textit{first year}}{2000}~~,~~\stackrel{\textit{second year}}{2000+\stackrel{\textit{10\% of 2000}}{\frac{2000}{10}}}\implies 2200

now, if we take 2000 to be the 100%, what is 2200? well, 2200 is just 100% + 10%, namely 110%, and if we change that percent format to a decimal, we simply divide it by 100, thus \bf 110\%\implies \cfrac{110}{100}\implies 1.1.

so, 1.1 is the decimal number we multiply a term to get the next term, namely 1.1 is the common ratio.

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\a_1=2000\\r=1.1\\n=4\end{cases}\\\\\\S_4=2000\left[ \cfrac{1-(1.1)^4}{1-1.1} \right]\implies S_4=2000\left(\cfrac{-0.4641}{-0.1}  \right)\\\\\\S_4=2000(4.641)\implies S_4=9282

7 0
3 years ago
A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marin
RideAnS [48]

The correct answer is option B i.e. (7.6, 8.8)

<h3>What is Distance?</h3>

The length along a line or line segment between two points on the line or line segment.

Let the coordinates of the treasure be (x, y).

Let  d₁ =  distance from the rock to the treasure.

Let  d₂ =  distance from the tree to the treasure.

    d₁ = \sqrt{x^2 + (y-2)^2}

    d₂ = \sqrt{(16-x)^2 + (21-y)^2}

We want d₁/d₂ = 5/9 in order to locate the treasure.

Note that 5/9 = 0.556 (approx)

Test (11.4, 14.2)

d₁ = 14.8, d₂ = 8.2, d₁/d₂ = 1.8           Incorrect

Test (7.6, 8.8)

d₁ = 8.2,  d₂ = 14.8,  d₁/d₂ = 0.554    Correct

Test (5.7, 7.5)

d₁ = 6.13,  d₂ = 16.98, d₁/d₂ = 0.36   Incorrect

Test (10.2, 12.6)

d₁ = 12.8,  d₂ = 10.2, d₁/d₂ = 1.255   Incorrect

Thus, The correct answer is option B i.e.  (7.6, 8.8).

Learn more about Distance from:

brainly.com/question/15172156

#SPJ1

4 0
2 years ago
What is the solution to the system x+3y+z=8 , 3x+2y-2z=5 , 4x-3t+kz=0
brilliants [131]

Answer:


Step-by-step explanation:


7 0
3 years ago
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