Please answer this: There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.

To the nearest meter, how many meters are in 158 inches?

Answer:

The volume of the cone is increasing at a rate of 1926 cubic inches per second.

Step-by-step explanation:

Volume of a right circular cone:

The volume of a right circular cone, with radius r and height h, is given by the following formula:

[tex]V = \frac{1}{3} \pi r^2h[/tex]

Implicit derivation:

To solve this question, we have to apply implicit derivation, derivating the variables V, r and h with regard to t. So

[tex]\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)[/tex]

Radius is 107 in. and the height is 151 in.

This means that [tex]r = 107, h = 151[/tex]

The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.6 in/s.

This means that [tex]\frac{dr}{dt} = 1.1, \frac{dh}{dt} = -2.6[/tex]

At what rate is the volume of the cone changing when the radius is 107 in. and the height is 151 in.

This is [tex]\frac{dV}{dt}[/tex]. So

[tex]\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)[/tex]

[tex]\frac{dV}{dt} = \frac{1}{3}(2(107)(151)(1.1) + (107)^2(-2.6))[/tex]

[tex]\frac{dV}{dt} = \frac{2(107)(151)(1.1) - (107)^2(2.6)}{3}[/tex]

[tex]\frac{dV}{dt} = 1926[/tex]

Positive, so increasing.

The volume of the cone is increasing at a rate of 1926 cubic inches per second.

Answer:

Step-by-step explanation:

An answer should never depend on a diagram. The figure has 4 equal sides  which means that it could be a square or a rhombus because both have 4 equal sides.

The question does depend on a diagram. Because the figure is leaning a little to the left, you should answer that it is likely a rhombus. You should object to the question.

Answers:

===========================================================

Explanation:

Let A = 50 degrees and C = 30 degrees. The side opposite angle uppercase C is lowercase c = 8. Convention usually has uppercase letters as the angles, while the lowercase letters are side lengths. A goes opposite 'a', B goes opposite b, and C goes opposite c.

Let's use the given angles to find the missing angle B

A+B+C = 180

50+B+30 = 180

B+80 = 180

B = 180-80

B = 100

Now we can apply the law of sines to find side b

b/sin(B) = c/sin(C)

b/sin(100) = 8/sin(30)

b = sin(100)*8/sin(30)

b = 15.7569240481953

b = 15.8

Make sure your calculator is in degree mode.

----------------------------

We'll do the same thing to find side 'a'

a/sin(A) = c/sin(C)

a/sin(50) = 8/sin(30)

a = sin(50)*8/sin(30)

a = 12.2567110899037

a = 12.3

Both values for 'a' and b are approximate (even before rounding).

-----------------------------

Extra info (optional)

Answer:

B=100

b=15.7

a=12.25

Step-by-step explanation:

first find the missing angle:

B=180-50-30

B=100

then use the law of sines:

[tex] \frac{a}{ \sin(a) } = \frac{b}{ \sin(b) ) } = \frac{c}{ \sin(c) } [/tex]

then

[tex] \frac{a}{ \sin(50) } = \frac{8}{ \sin(30) } \\ \\ a = 12.25[/tex]

use the same way to find the other side

[tex] \frac{b}{ \sin(100) } = \frac{8}{ \sin(30) } \\ b = 15.7[/tex]

Answer:

below

Step-by-step explanation:

Clare's mistake was the writing of 4000 in standard form

he wrote 4 ×10²

instead of 4 ×10³

Answer:

Step 1

Step-by-step explanation:

I believe Claire's mistake is when she tries to simplify 4000

She says that 4000 = 4 × 10²

4000 is actually equal to 4 ×10³

Answer:

Z = -1.65

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

What is the critical value for the 5% significance level?

One-tailed statistic, so Z with a p-value of 0.05.

Looking at the z-table, this is Z = -1.65, so this is the critical value for the 5% significance leve.

Answer:(1.06^x)

Step-by-step explanation:

Answer:

Slope = 6

Step-by-step explanation:

Use the slope formula:

[tex]m=\frac{y_1-y_2}{x_1-x_2}\\m=\frac{-4-8}{3-5}\\m=\frac{-12}{-2}\\m=6[/tex]

Answer:

6

Step-by-step explanation:

(3,-4) and (5,8)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(8 - (-4)) / (5 - 3)

Simplify the parentheses.

= (8 + 4) / (5 - 3)

= (12) / (2)

Simplify the fraction.

12/2

= 6

This is your slope.

Hope this helps!

Answer:

it might be 3 but I'm not sure

Answer:

El a+b tiene 1 terminó porque para separar un término el factor es el +Step-by-step explanation:

Step-by-step explanation:

Area of the squre is pi -360/2

7 min = 23 pages

To find out the amount of time the color printers to print one page we need to do 7/23 min.

Answer: 7/23

Answer:

Step-by-step explanation:

1

Answer:

[tex]\sqrt{x^2 + y^2}[/tex]

Step-by-step explanation:

to find diatance between AB

A(0 , 0) = (x1 , y1)

B(x , y) = (x2 , y2)

distance formula = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(x - 0)^2 + (y - 0)^2}[/tex]

=[tex]\sqrt{x^2 + y^2}[/tex]

Answer:

200 m

-15 m

215 m

Step-by-step explanation:

Given :

Top of hill = 200 m above sea level ; height of hill top is positive 200m = 200 m

Bottom of lagoon = 15m *below sea level ; bottom of lagoon = - 15m

We have related the height of the two points with respect to sea level ; points above sea level are represented as positive ; points below are represented as negative.

Difference between the two heights :

Hill top - bottom of lagoon :

200 m - (-15) m

200 m + 15 m

215 m

Difference between the heights is 215 m

Answer:

Step-by-step explanation:

a)

 428721

Place of 2's 10s and 10,000s

Therefore its value is 20 and 20,000

Product of the place value = 20 x 20,000 = 4,00,000

b)

37,20,861

Place of 7 is 1,00,000

Therefore the place value is 7,00,000

c)

Greatest 7 digit number is 99,99,999

Adding 1 to it = 99,99,999 + 1 = 1,00,00,000

d)

85642 = 80000 + 5000 + 600 + 40 +2

e)

round off 85642  to nearest thousand = 86,000

Answer:

Well the volume is 1570.8 cubed. but i don't know what it would be in your range of answers.

Step-by-step explanation:

Answer:

You could change 1 4/5 to 1 8/10 to make it easier to plot.

Answer:

16 cm.

Step-by-step explanation:

in order to calculate the required leg of the given triangle it is possible to use the formula: leg=hypotenuse / √2.

according to the formula above the required leg is: 16 cm.

The table shows ordered pairs of the function y=8-2 x . What is the value of y when x=8 ?

The given value of x is 8.

we have to find the value of 'y' , so,

▶️ y = 8-2 x

▶️ y = 8-2 × 8

▶️ y = 8-16

▶️ y = -8

The value of y is -8.

[tex] \\ \\ [/tex]

Answer:

See below.

Step-by-step explanation:

Answer:4000000

Step-by-step explanation:783

Answer:

False

Step-by-step explanation:

Answer:

153.86 yards²

Step-by-step explanation:

A(Circle) = πr² where r = radius.

r = d/2 where r = radius and d = diameter.

r = 14/2 = 7 yards.

(3.14)(7)² = (3.14)(49) = 153.86 yards²

Answer:

The maximum height of the basketball is of 24.25 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

Height of the basketball:

Given by the following function:

[tex]h(t) = -4t^2 + 10t + 18[/tex]

Which is a quadratic function with [tex]a = -4, b = 10, c = 18[/tex]

What is the maximum height of the basketball?

y(in this case h) of the vertex. So

[tex]\Delta = b^2-4ac = 10^2 - 4(-4)(18) = 388[/tex]

[tex]y_{v} = -\frac{388}{4(-4)} = 24.25[/tex]

The maximum height of the basketball is of 24.25 feet.

Answer:

C    29 square units

Step-by-step explanation:

a = bh

a = 5.8 * 5

a = 29 square units

Answer:

C 29 square units

Step-by-step explanation:

a = bh

multiply

5.8 * 5

29 square units

hope this helps :)

Answer:

it seems like you already have this answered?

Answer:

data set 3 would have the least mean absolute deviation among the three sets since there is less spread of the data and the data values in set-3 lie close to the mean.

Step-by-step explanation:

The mean absolute deviation is a  measure of spread of the data.

If the data values in the given data set are widely spread then we obtain a higher mean absolute deviation.

if the data values of a given data set are close to each other i.e there is a less spread of the data and hence the mean absolute deviation will be low as the data values will lie close to the mean.

We are given three data set as:

set- 1             42, 48, 50, 88, 49

set- 2             63, 29, 35, 28, 30

set- 3                2, 5, 3, 8

Hence, we could observe that the data values in set 1 and set 2 are widely spread.

In set-1 the data value 88 is  much higher value as compared to other data values.

Similarly in set-2 the data value 63 is again a much higher value as compared to other data values.

Whereas in set-3 the data values are all closely related and there is not much spread in the data.

Answer:

4p

Step-by-step explanation:

The period is basically the difference in x from one "peak" to the other "peak".

The peaks are the highest points of a sinosodial function, and the figure them out, use the formula:

[tex]|peak_1-peak_2|=period[/tex]

We know the first peak is at about x=0[tex]\pi[/tex]

We know the second peak is at about x=4[tex]\pi[/tex]

So plugging this in:

[tex]|0-4\pi |=4\pi[/tex]

So the period is [tex]4\pi[/tex]

I am assuming "p" stands for [tex]\pi[/tex], so the answer should be 4p.

There are other ways to find the period, for instance if you are given a sinusodial function in writing instead of a graph.

Here is an example:

5sin(5x+2)+3

If we want to find period, we need to find what we call "b"

b is the number in front of x, which we can identify as bx, which in this case is 5x above.

Now what do we do with this "b"?

This is the value we need to find our period.

If you know b, you can use this formula to find the period:

[tex]\frac{2\pi }{b}=p[/tex]

And when we plug in b:

[tex]\frac{2\pi }{5}[/tex]

=

1.257, which would be your period.

THis can also be reworked so that you can find b:

If the formula for period is [tex]\frac{2\pi }{b}=p[/tex], then the opposite formula would be [tex]\frac{2\pi }{ p}=b[/tex]

And when you plug the period you have in:

[tex]\frac{2\pi }{1.257}[/tex]

=

5

Anyway, your answer is 4p.

Hope this helps!