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Evgen [1.6K]
3 years ago
13

M is directly proportional to r3When r = 4, M = 160a) Work out the value of M when r = 2.​

Mathematics
2 answers:
Natali [406]3 years ago
6 0

Answer:

M = 20

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

To find k use the condition when r = 4, M = 160, that is

160 = k × 4³ = 64k (divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of proportion

When r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

aliya0001 [1]3 years ago
4 0

Answer:

M<varies>r³

M=kr³(k= constant)

when M=160,r=4

160=k(4)³

160=64k

k=2.5

therefore,M=2.5r³

when r=2

M=2.5r³

M=2.5(2)³

M=2.5(8)

M=20

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What is the distance between the points (-4,0) and (-7, -14) ?​
vlada-n [284]

Answer:

Step-by-step explanation:

(-4,0) ; (-7, -14)

d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(-7-[-4])^{2}+(-14-0)^{2}}\\\\ =\sqrt{(-7+4)^{2}+(-14)^{2}}\\\\=\sqrt{(-3)^{2}+(-14)^{2}}\\\\=\sqrt{9+196} \\\\=\sqrt{205} \\\\=14.3178

7 0
3 years ago
16) Your salary goes from $8.75 an hour at your present job to $16.50 an hour in your new job. What is
Agata [3.3K]

Answer:

The percent change in salary from one job to the next is 88.57%.

Step-by-step explanation:

The previous salary of per hour =  $8.75 per hour

The current salary of per hour  = $16.50 per hour

Change in the salary rate per hour  =  Current salary  -  Previous Salary

                                                             = $16.50 per hour -  $8.75 per hour

                                                             =$7.75 per hour

⇒The change in the salary per hour rate is $7.75

Now, \textrm{Percentage Change in salary}  = \frac{\textrm{Change in the rate of salary}}{\textrm{Previous Salary}}  \times 100

= \frac{7.75}{8.75}  \times 100 = 88.57

or, the change in salary percentage is 88.57%

Hence, the percent change in salary from one job to the next is 88.57%.

4 0
3 years ago
There is laundry detergent for $6.90 for 128 oz and detergent for $5.50 for 96 oz.
dsp73

Answer: The detergent for <u><em>$5.50 for 96 oz</em></u> is better.

Step-by-step explanation:

128 ÷ $6.90 ≈ 18.55

96 ÷ $5.50 ≈ 17.45

7 0
3 years ago
Find the rule and nth term for the sequence <br> 4, 7, 10, 13, 16
mariarad [96]
7-4=3
10-7=3
13-10=3
we can see that this is an arithmetic sequence with a difference of 3
the nth term=the first term +(n-1) times the difference
so a(n)=4+3(n-1)
6 0
3 years ago
4<br>Order these decimals, starting with the smallest<br>7.96<br>9.61<br>9.534<br>9.5<br>9.53​
Studentka2010 [4]

Answer:

7.96,9.5,9.53,9.534,9.61

7 0
2 years ago
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