The volumes of spheres are proportional to R³. So their 'R's
are proportional to ∛their volumes.
(729/ 27) = 27
∛27 = <u>exactly 3</u> . No rounding required.
Answer:
x = -10
Step-by-step explanation:
Step 1: Write equation
7 + 11x + 60 = -13 + 3x
Step 2: Solve for <em>x</em>
- Combine like terms: 11x + 67 = -13 + 3x
- Subtract 3x on both sides: 8x + 67 = -13
- Subtract 67 on both sides: 8x = -80
- Divide both sides by 8: x = -10
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
7 + 11(-10) + 60 = -13 + 3(-10)
67 - 110 = -13 - 30
-43 = -43
This question is referred to two similar triangles.
One triangle has sides x and x - 2.
The other triangle has the respective sides x + x + 5 and x - 2 + x + 1
Then you can state a proportionality relation between the sides>
[x + x + 5] / x = [x - 2 + x + 1] / [x - 2]
=> [2x + 5] / x = [2x - 1] / [x - 2]
=> (2x + 5)(x - 2) = (2x - 1)x
=> 2x^2 - 4x + 5x - 10 = 2x^2 - x
=> x - 10 = - x
=> 2x = 10
=> x = 10 / 2
=> x = 5
Answer: x = 5
The best linear model for the data that's illustrated will be y = 10x + 5
<h3>What is a linear model?</h3>
It should be noted that a linear model simply means model where the terms are added. It should be noted that this can be used in connection with the regression model.
Here, the best linear model for the data will be:
= (10 × x) + 5
= 10x + 5
Therefore, the best linear model for the data that's illustrated will be y = 10x + 5.
Learn more about model on:
brainly.com/question/25987747
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