3 years ago

Write the expression as a single logarithm

1 answer:

4 0

$\log _a(6w+1)^{7} + \log _a(w+7)^{\frac{1}{5}} \\ \log _a(6w+1)^{7} + \log _a\sqrt[5]{(w+7)}\\\log _a((6w+1)^{7} (\sqrt[5]{(w+7)}))$

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Whats the value c<br> Pleaseee help

nikklg [1K]

Step-by-step explanation:

the value of x is 20 that's it good luck

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3 years ago

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24 is what percent of 32

Airida [17]

Answer:

24 is 75% of 32

Step-by-step explanation:

To get the percent in decimal form we divide 24 by 32

24 ÷ 32 = 0.75

To get the decimal into a percent we multiply it by 100

0.75 × 100 = 75

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3 years ago

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What are the first five terms of an arithmetic sequence if a 17 = ‒40 and a 28 = ‒73? A. 8, 11, 14, 17, 20 B. 8, 5, 2, ‒1, ‒4 C.

Allisa [31]

The common difference
(-73 - -40)/(28 - 17) = -3
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4 years ago

Helen rolls a dice and flips a coin. <br> calculate the probability

butalik [34]

Answer:

1/12

Step-by-step explanation:

dice rolling=1/6

coin flipping=1/2

Hence probability=1/6×1/2

4 0

2 years ago

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Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. x = 5 sin2 t, y = 5 cos2 t

rodikova [14]

$\begin{cases}x(t)=5\sin2t\\y(t)=5\cos2t\end{cases}\implies\begin{cases}\frac{\mathrm dx}{\mathrm dt}=10\cos2t\\\frac{\mathrm dy}{\mathrm dt}=-10\sin2t\end{cases}$

The distance traveled by the particle is given by the definite integral

$\displaystyle\int_C\mathrm dS=\int_0^{3\pi}\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt$

where $C$ is the path of the particle. The distance is then

$\displaystyle\int_0^{3\pi}\sqrt{100\cos^22t+100\sin^22t}\,\mathrm dt=10\int_0^{3\pi}\mathrm dt=30\pi$

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3 years ago