Answer:
C
Step-by-step explanation:
Answer: <em>Constant of proportionality is the constant value of the ratio between two proportional quantities. Two varying quantities are said to be in a relation of proportionality when, either their ratio or their product yields a constant.</em>
Step-by-step explanation:
To find the constant of proportionality, we use the formula k=y/x. So we have k=20/500 = 0.04.
The equation representing this situation will look like y=kx. Substituting in our value of k that we found, we have the equation y=0.04x.
We can use our equation to find the answer to this problem.
Answer:
804.25 cm² (corrected to 2 decimal places)
Step-by-step explanation:
Radius = diameter / 2
= 16/ 2
=8 cm
Surface area of sphere = 4πr²
= 4π8²
=804.25 cm² (corrected to 2 decimal places)
The complete version of question:
<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution of this problem.</em>
Answer:
![5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}](https://tex.z-dn.net/?f=5%5Cleft%28x%2B27%5Cright%29%5Cge%20%5C%3A6%5Cleft%28x%2B26%5Cright%29%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5C%3A-21%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-21%5D%5Cend%7Bbmatrix%7D)
Step-by-step explanation:
As the description of the statement is:
'<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26'.</em>
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As
- <em>Five times the sum of a number and 27 </em>is written as:
- <em>greater than or equal </em>is written as:
- <em>six times the sum of that number and 26' </em>is written as: 6(x + 26)
so lets combine the whole statement:
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solving
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Therefore,
F(-1)=2*(-1)+2
f(-1)=2-2
f(-1)=0
