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Law Incorporation [45]
3 years ago
14

Please help!!!! Solve for r: f=2r+m

Mathematics
1 answer:
musickatia [10]3 years ago
5 0
F=2r + m
2r + m = f
2r = f - m
r = \frac{f - m}{2}
You might be interested in
What is the next term in the arithmetic sequence? 9,17,25,33,...
lions [1.4K]

<u>Answer:</u>

<u><em>41</em></u>

<u />

<u>Explanation:</u>

To solve this problem we must first understand what the pattern is in the arithmetic sequence. Once we understand the pattern, we can then apply it to the final known term to find the next term.

Take a look at the arithmetic sequence given:

<em>9, 17, 25, 33,...</em>

<em />

Let's start by figuring out how they got the second term in the sequence. To do that, subtract the second term by the first term. This will reveal the pattern.

<em>9 - first term</em>

<em>17 - second term</em>

<em />

<em>17 - 9 = 8</em>

<em />

So, this means they added eight to get the next term. Therefore, the pattern should be 'add eight' to get the next term. Just to be sure the pattern we found is correct, apply it to the given arithmetic sequence.

<em>9, 17, 25, 33,...</em>

<em>9 </em><em>+ 8 = </em><em>17</em>

<em>17  </em><em>+ 8 = </em><em>25</em>

<em>25 </em><em>+ 8 = </em><em>33</em>

<em />

So, since 'adding eight' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next term.

<em>9, 17, 25, 33,...</em>

<em />

<em>33 </em><em>+ 8 = </em><em>41</em>

<em />

<em>9, 17, 25, 33, 41,...</em>

<em />

Therefore, the next term in the arithmetic sequence is <u><em>41</em></u>.

3 0
3 years ago
A cylindrical container with a radius of 5 cm and a height of 14 cm is completely filled with liquid. Some of the liquid from th
Flura [38]

Answer:

The remaining liquid has a volume of 345.4 cm³.

Step-by-step explanation:

To solve this question we first need to calculate the volume of each container.

Cylindrical:

Volume = h*pi*r² = 14*3.14*(5)² = 1099 cm³

Cone:

Volume = (1/3)*h*pi*r² = (1/3)*20*3.14*(6)² = 753.6 cm³

Since the liquid from the cylinder was transfered to the cone until the latter was full, then what remains in the cylinder is it's original volume minus the cone volume. So we have:

remaining liquid = 1099 - 753.6 = 345.4 cm³

4 0
3 years ago
A map has a scale of 2 cm: 11 m. The actual distance x from point A to point B, if these two points are 12
ahrayia [7]

9514 1404 393

Answer:

  B.  66 m

Step-by-step explanation:

Map and ground distances are proportional:

  ground/map = ground/(12 cm) = (11 m)/(2 cm)

  ground = (12 cm)(11 m/(2 cm)) = 66 m

The distance from A to B is 66 m.

6 0
2 years ago
An object has a mass of 440 kg and a volume of 11 m3. <br> Find the density of the object in kg/m3.
FrozenT [24]

Answer:

40 kg/m³

Step-by-step explanation:

To find the density divide the mass by the volume

440kg / 11 m³ = 40 kg/m³

5 0
3 years ago
Read 2 more answers
How is -5x + 2y = 9 is not constant of variation
nadya68 [22]
A constant of variation is only in the form ay=bx where b/a=constant so given any point y/x=constant let us check here by substituting x=1 and x=2
when x=1---> 2y=14,y=7 here y/x=7
when x=2--->2y=19,y=9.5 here y/x=4.75
so this equation is not constant of variation
let us check an equation of the form 3y=7x
when x=1--->y=7/3--->y/x=7/3
when x=2--->y=14/3---->y/x=7/3
so 3y=7x is a constant of variation
7 0
3 years ago
Read 2 more answers
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