3. Simplify log3 20

Your team gets an ice sculpture in the shape of a basketball. It has a radius of 12 inches. What is the volume of the ice? Use 3

horsena [70]

The answer is 7234.56 inches cubed. The equation to find the volume of a sphere is 4/3*pi*r^3.

The equation would be 4/3 * 3.14 * 12^3.

4/3 * 3.14 * 1728

4/3 * 5425.92

7234.56

4 0

3 years ago

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At 6 p.m., the temperature was 11°C 11°C. By midnight, the temperature was −3°C.-3°C.What is the difference between the two temp

zlopas [31]

Answer:

it's B

Step-by-step explanation:

14

5 0

4 years ago

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An apple costs <img src="https://tex.z-dn.net/?f=%202%20%5Cfrac%7B1%7D%7B7%7D%20%20" id="TexFormula1" title=" 2 \frac{1}{7} " a

Vikki [24]

10 pencilles can be bought

4 0

4 years ago

I NEED HELP ASAP

antoniya [11.8K]

a) The equation $V(m) = 8400 - 560\cdot m$ represents the discharge of the Grand Prismatic Spring.

b) The discharge of the Grand Prismatic Spring takes 15 minutes.

c) The remaining quantity after 7 minutes is 4480 gallons.

d) The hardness of cardboard is 2.

<h3>How to apply concepts of linear functions</h3>

a) In this case, the volume of water ( $V$ ), in gallons, decreases <em>linearly</em> in time ( $m$ ), in minutes. Then, we could model the situation by using the following expression:

$V(m) = V_{o} - \dot V \cdot m$ (1)

Where:

$V_{o}$ - Initial volume, in gallons.
$\dot V$ - Discharge rate, in gallons per minute.

If we know that $V_{o} = 8400\,gal$ and $\dot V = 560\,\frac{gal}{min}$ , then the volume of the Grand Prismatic Spring is represented by this expression:

$V(m) = 8400 - 560\cdot m$ (2)

The equation $V(m) = 8400 - 560\cdot m$ represents the discharge of the Grand Prismatic Spring. $\blacksquare$

b) By (1) and $V(m) = 0$ we find the time required for discharge:

$m = \frac{0 - 8400}{-560}$

$m = 15\,min$

The discharge of the Grand Prismatic Spring takes 15 minutes. $\blacksquare$

c) The quantity of gallons remaining is found by evaluating the function for $m = 7$ :

$V(7) = 8400 - 560\cdot (7)$

$V(7) = 4480\,gal$

The remaining quantity after 7 minutes is 4480 gallons. $\blacksquare$

d) According to Mohs scale, the hardness of feldspar is 6. The statement indicates the following relationship, as there is a constant relationship between both hardnesses:

$y = 3\cdot x$ (3)

Where:

$x$ - Hardness of cardboard.
$y$ - Hardness of feldspar.

If we know that $y = 6$ , then the hardness of cardboard is:

$x = \frac{6}{3}$

$x = 2$

The hardness of cardboard is 2. $\blacksquare$

To learn more on linear functions, we kindly invite to check this verified question: brainly.com/question/17058347

8 0

3 years ago

What conditions give 2 roots, one root and no root?

hichkok12 [17]

The discriminant D is found by this formula

D = b^2 - 4ac

there are 3 possible outcomes

1) If D is smaller than 0, ie D < 0, then there are no roots

2) If D is equal to zero (D = 0), then there is exactly one root. This root is rational assuming the coefficients are integers. This is called a double root

3) If D > 0, then there are 2 different roots. If D is a perfect square, then these two roots are rational numbers (aka fractions of whole numbers) assuming the coefficients are integers. If D is not a perfect square, then the two roots are irrational numbers.

8 0

3 years ago

3. Simplify log3 20 - log3 5