What are the first 5 multiples of 150

Mathematics

1 answer:

anzhelika [568]3 years ago

3 0

Answer:

150, 300, 450, 600, 750

Step-by-step explanation:

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a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu

Hunter-Best [27]

What you need to look for is $\frac { dr }{ dt }$ when r=8.

Now:

$Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }$

$\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr } } =\frac { 1 }{ 4\pi { r }^{ 2 } }$

$And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }$

$\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi }{ \pi } \cdot \frac { 1 }{ { r }^{ 2 } }$

$\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec$

3 0

3 years ago

What is 1 2/3 as an inproper fraction?

lesantik [10]

Answer:

5/3

Step-by-step explanation

1 2/3 = 5/3

3/3 + 2/3 = 5/3

6 0

3 years ago

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Clara has 8 coins worth 17¢. if the coins are all dimes and pennies, how many dimes and pennies does she have?

Sliva [168]

Let x = the number of dimes
Let y = the number of pennies.

There are 8 coins, therefore
x + y = 8 (1)

The coins are worth 17 cents, therefore
10x + y = 17 (2)

Subtract equation (1) from equation (2).
10x + y - (x + y) = 17 - 8
9x = 9
x = 1

From (1), obtain
y = 8 -x = 8 - 1 = 7

Answer: 1 dime, 7 pennies.

4 0

3 years ago

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What is the volume of the following cylinder in cubic feet?

Salsk061 [2.6K]

5089.38 is the volume

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3 years ago

REALLY NEED HELP

artcher [175]

Answer:

Y=-5/3x

Step-by-step explanation:

Use the slope formula and slope-intercept form y=mx+b to find the equation.

3 0

2 years ago