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3 years ago

8

The ratio of blue to yellow used to make a certain tint of green is 8:5. If you use 24 fl oz of blue, how many fluid oz of yello

w should you use?

1 answer:

balu736 [363]3 years ago

8 0

Answer:

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

4 years ago

ANSWER PLZ QUICK AND FAST

Sergio [31]

Jack had b boxes. Then he got 4 more. That is equal to:

$b+4$

On Wednesday, half the boxes were destroyed. To find half the amount, you can divide by 2, which is equal to:

$\frac{b+4}{2}$

Choice C matches the answer. Your answer is C

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3 years ago

Can someone help me understand how to do this ?

Damm [24]

Do you know your trig ratios?

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3 years ago

Find the critical value t a/2 needed to construct a confidence interval of the given level with the given sample size. level 95%

stepan [7]

Α = 1- (95/100) = 1-0.95 = 0.05

p = 1- α/2 = 1- 0.05/2 = 1-0.025 = 0.975

Degrees of freedom, df = Sample size -1 = 11-1 = 10

From t-tables, with cumulative probability pf 0.975 and df of 10,
Critical value = 2.228

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3 years ago

What is the probability that there is at most one purple marble? 0.100 0.301 0.770 0.971

andriy [413]

The probability that there is at most one purple marble is 0.9701.

<h3>What is the probability about?</h3>

Probability is a term that connote the possibility of an event or something occurring or not.

Note that it is one that is based on the level of occurrence that can be seen in a random event.

Based on the fact that there is a bag that has eight yellow marbles, nine green marbles, three purple marbles, and five red marbles, the probability that there is at most one purple marble is 0.9701.

Learn more about This probability case from

brainly.com/question/3729438

#SPJ4

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3 years ago