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2 years ago

14

HEEELLLPPP!!!!!!!!! PLEEAASEEE!!!!!!!!

1 answer:

Ksivusya [100]2 years ago

4 0

Answer:

Step-by-step explanation:

$17. (a^{m})^{n}=a^{m*n}\\\\a^{m}*a^{n}=a^{m+n}\\\\-3k^{2}*(4k^{5})^{3}=-3k^{2}*4^{3}*k^{5*3}\\\\ = -3k^{2}*64*k^{15}\\\\= (-3)*64*k^{2+15}\\\\= - 192k^{17}$

$19. \dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\dfrac{(-7p^{4})*(-8p^{5})}{2p^{3}}= \dfrac{(-7)*(-8)*p^{4}*p^{5}}{2p^{3}}\\\\\\=(-7)*(-4)*p^{4+5-3} \\\\= 28p^{6}\\$

$20)\dfrac{15a^{16}b^{11}}{(3a^{4}b^{2})^{3}}=\dfrac{15a^{16}b^{11}}{3^{3}*a^{4*3}*b^{2*3}}\\\\\\=\dfrac{15a^{16}b^{11}}{27*a^{12}*b^{6}}\\\\=\dfrac{5*a^{16-12}*b^{11-6}}{9}\\\\\\=\dfrac{5a^{4}b^{5}}{9}$

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Write the greatest possible 5 digit number using only 3 different numbers

bazaltina [42]

Answer:

223344

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3 years ago

\frac { 6 ^ { n + 2 } - 6 ^ { n } } { 6 ^ { n + 1 } + 6 ^ { n } }

amm1812

<h3>Answer: 5</h3>

Work Shown:

$m = \frac{6^{n+2}-6^{n}}{6^{n+1}+6^{n}}\\\\m = \frac{6^{n}*6^2-6^{n}}{6^{n}*6^1+6^{n}}\\\\m = \frac{6^{n}*36-6^{n}}{6^{n}*6+6^{n}}\\\\m = \frac{6^{n}(36-1)}{6^{n}(6+1)}\\\\m = \frac{6^{n}(35)}{6^{n}(7)}\\\\m = \frac{35}{7}\\\\m = 5\\\\$

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$\frac{6^{n+2}-6^{n}}{6^{n+1}+6^{n}}=5\\\\$

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2 years ago

A line intersects the y-axis of the point (a, b) Is a = 0? Is b = 0? Explain.

Ber [7]

9514 1404 393

Answer:

a=0

b may be 0 but is not required to be

Step-by-step explanation:

The y-axis corresponds to the line x=0. Any point on the y-axis will have an x-coordinate of 0.

If (a, b) is on the y-axis, then a = 0.

If the intersection point is (0, 0), then b=0. Otherwise, b is not 0.

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3 years ago

What is -0.519760524 rounded to four decimal places?

Rasek [7]

Answer:

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Step-by-step explanation:

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3 years ago

Jackson and Jonah are both swimming. Jackson swims at 1350 meters per hour. Jonah swims at a speed of 1250 millimeters per secon

Vladimir [108]

For this question we will use the following relations.

100 centimeters=1 meter (or 1 centimeter= 0.01 meter)

10 millimeter=1 centimeter (or 1 mm=0.1 cm)

60 minutes = 1 hour (or 1 min= $\frac{1}{60}$ hour)

Now, Jackson's speed is 1350 meters per hour. This can be converted to cm per minute as follows:

$\frac{1350 m}{1 h}=\frac{1350\times 100 cm}{60 min}=2250 cm/min$ ...Equation 1

Likewise, Jonah's swim speed in cm/min can be calculated as:

$\frac{1250 mm}{1 s}=\frac{1250\times 0.1 cm}{\frac{1}{60}min } =\frac{125\times 60 cm}{1 min}=7500cm/min$ ...Equation 2

As we can see clearly after comparing Equation 1 and Equation 2, Jonah's swim speed of 7500 cm/min is faster than that of Jackson.

Thus, option B is correct.

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3 years ago