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3 years ago

PLEASE HELP ASAP!!!! I AM BEGGING YOU!

Mathematics

1 answer:

Elan Coil [88]3 years ago

6 0

Answer: Standard, and 65,000 its easy as that

Step-by-step explanation:

Hope this helps

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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

Solve for x in the equation x2+2x+1=17

agasfer [191]

The left side can be written as a square. We can take the square root, then subtract 1.

... (x +1)² = 17

... x +1 = ±√17

... x = -1 ±√17

6 0

3 years ago

A researcher wants to test whether a certain sound will make rats do worse on learning tasks. It is known that an ordinary rat c

AveGali [126]

Answer:

So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.

Step-by-step explanation:

In this data we have

Mean= u = 18

X= 38

Standard deviation = s= 6

1) We formulate the null and alternate hypothesis as

H0: u = 18 against Ha : u > 18 One tailed test .

2) The significance level alpha = ∝= 0.05 and Z alpha has a value ± 1.645 for one tailed test.

3)The test statistics used is

Z= X- u / s

z= 38-18/6= 3.333

4) The calculated value of z = 3.33 is greater than the z∝ = 1.645

5) So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.

First we set the criteria for determining the true of value of the variable. That whether the rats learn in less or more than 18 trials.

Then we find the value of z for the given significance value given and the test about to be checked.

Then the test statistic is determined and calculated.

Then both value of z and z alpha re compared. If the test statistics falls in the rejection region reject the null hypothesis and conclude alternate hypothesis is true.

The figure shows that the calulated z value lies outside the given z values

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3 years ago

The Smiths are moving from New Jersey to South Africa. They pack their belongings in rectangular creates and hire a box to ship

Viefleur [7K]

Answer:

16 crates

Step-by-step explanation:

-This is a division problem.

-Let x be the number of crates that will fit in to the box car.

-To solve x, we divide the volume of the boxcar by the volume of one crate:

$V=lwh\\\\l=length\\w=width\\h=height\\\\V_{bc}=20m\times 3m\times 4m\\\\=240\ m^3\\\\V_c=lwh\\\\=5m\times1.5m\times 2m\\\\=15\ m^3\\\\\therefore x=\frac{V_{bc}}{V_c}\\\\=\frac{240}{15}\\\\=16\ crates$

Hence, 16 crates will fit in the boxcar.

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4 years ago

Ability to grow in shade may help pines found in the dry forests of Arizona resist drought. How well do these pines grow in shad

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Determine the slope and y-intercept from the following equation: 4x + y = -10

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slope: 4 y-intercept: (0,10)

slope: -4 y-intercept: (0,10)

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3 years ago