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amm1812
3 years ago
7

URGENT HELP PLS PLS PLS

Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0

Answer:

15 kg

Step-by-step explanation:

Radius of a solid sphere : mass of a solid sphere

3 cm : 9 kg

Find the mass of a sphere of the same material of radius 5 cm

Radius of a solid sphere : mass of a solid sphere

5 cm : x kg

Equate both ratios to find x

3 cm : 9 kg = 5 cm : x kg

3/9 = 5/x

3 * x = 9 * 5

3x = 45

x = 45/3

x = 15 kg

The mass of a sphere of the same material of radius 5 cm is 15 kg

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TOASTED. ROASTED.

Step-by-step explanation:

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Step-by-step explanation:

The answer is 130° since you subtract 4° from both sides

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3 years ago
Working as an insurance salesperson, Ilya earns a base salary and a commission on each new policy, so Ilya’s weekly income, II,
Morgarella [4.7K]

Answer:

l(n) = 80n + 520

Step-by-step explanation:

From the information given in the  question, there is a relationship between the number of new policy sold, n, and earning, I

           For 3 new policies, he earned $760

           For 5 new policies, he earned $920.

The rate of change of IIya's earning with respect to number of new policy sales is

             m = \frac{dI}{dn}

             m = \frac{920 - 760}{5 - 3}

             m = $160 / 2 policies

             m = $80 / policy

The linear equation for the relationship is;

             l(n) = mn + b

I(n) is Ilya’s weekly income which is a function of the number of new policies, n

m is the rate of change of I with respect to n

n is the number of new policies,

b is the intial function which is IIya's income when n equals zero

Recall, Ilya earns a commission of $80 for each policy sold during the week. (m = $80 per policy)

                 l(n) = 80n + b

To complete the relationship l, we need to calculate the initial value b.

For 3 new policies, he earned $760,

             760 = 80(3) + b

             760 = 240 + b

             b = 760 - 520

             b = 520

The final equation is l(n) = 80n + 520

From the final equation, we can deduce that Ilya’s weekly salary is $520 and he earns an additional $80 commission for each new policy sold.

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