I don't know how do do these problems

Mathematics

1 answer:

zubka84 [21]3 years ago

7 0

$\bf \begin{array}{ll} term&\stackrel{a(n-1)-3}{value}\\ \cline{1-2} a(1)&-6\\ a(2)&a(2-1)-3\\ &a(1)-3\\ &-6-3\\ &-9 \blacktriangleleft\\ a(3)&a(3-1)-3\\ &a(2)-3\\ &-9-3\\ &-12 \blacktriangleleft\\ a(4)&a(4-1)-3\\ &a(3)-3\\ &-15 \blacktriangleleft\\ a(5)&a(5-1)-3\\ &a(4)-3\\ &-18 \blacktriangleleft \end{array}$

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An electronics manufacturer can produce and sell x MP3 players per week. The total cost C (in dollars) of producing MP3 players

coldgirl [10]

Profit, or the surplus money after your costs are covered, is Revenue - Costs.

so in this case the profit P(x) = R(x) - C(x).

$\bf P(x)=(135x)-(93x+35000)\implies P(x)=135x-93x-35000
\\\\\\
P(x)=42x-35000
\\\\[-0.35em]
~\dotfill\\\\
\stackrel{\textit{selling 5000 mp3s}}{P(5000)=42(5000)-35000}\implies P(5000)=210000-35000
\\\\\\
P(5000)=175000$

7 0

3 years ago

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shap

11Alexandr11 [23.1K]

Answer:

0.25 feet per minute

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

$\dfrac{dV}{dt}=20$ ft^3/min$

$\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h$

Since base diameter = Height of the Cone

Radius of the Cone = h/2

Therefore,

$\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}$

$\text{Rate of Change of the Volume}, \dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}$

Therefore: $\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=20$

We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

$h=10$ feet$\\\\\dfrac{3\pi *10^2}{12}\dfrac{dh}{dt}=20\\25\pi \dfrac{dh}{dt}=20\\ \dfrac{dh}{dt}= \dfrac{20}{25\pi}\\ \dfrac{dh}{dt}=0.25$ feet per minute (to two decimal places.)$

When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute

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3 years ago

How can u tell <br> Whether 1080 is cube number

dolphi86 [110]

TSplit into prime factors

1080 = 2*2*2*3*3*3*5

Its not a cube because although there are 2 triplicates there is also a 5.

Note 2*2*2*3*3*3 is a cube.

3 0

3 years ago

Read 2 more answers

Quick Question! Please help!

8090 [49]

Answer:

C --- b^16

Step-by-step explanation: