All categories

3 years ago

Multiply. Write the product as one power. a to the 8th power x a to the 5th power.

Mathematics

1 answer:

Hatshy [7]3 years ago

6 0

$\bf a^8\cdot a^5\impliedby \textit{same base \underline{a}, add the exponents}\implies a^{8+5}\implies a^{13}$

You might be interested in

PLEASE HELP ITS DUE TODAY PLEASE HELP ASAP 15 POINTS PLEASE HELP

ludmilkaskok [199]

Answer:

210 cm³

Step-by-step explanation:

volume = W x L x H

(where W = width, L = length and H = height)

By inspection of the diagram,

W = 6 cm

L = 7 cm

H = 5 cm

Therefore, volume = 6 x 7 x 5 = 210 cm³

6 0

2 years ago

Read 2 more answers

3/24 simplified fraction

Julli [10]

Answer:

The lowest fraction it can be simplified to is 1/8.

4 0

2 years ago

Read 2 more answers

Please help me asap i will mark branlist

NikAS [45]

Answer:

slope is -1

Step-by-step explanation:

y1-y2/ x1-x2

= -3 - 7 / 8 - (-2)

= -10/ 10

= -1

5 0

2 years ago

Read 2 more answers

Find the length of a.

inessss [21]

Answer:

22.2

Step-by-step explanation:

Using cosine rule,

$a^{2} = 12^{2} + 15^{2} -2(12)(15)cos110$ °

$a = \sqrt{12^{2} +15^{2}-2(12)(15)cos110 }$

$a = 22.2 (3 sf)$

6 0

3 years ago

Read 2 more answers

Evaluate the integral

Kruka [31]

Hello, please consider the following.

$\displaystyle \begin{aligned} \int\limits^x {5sin(5t)sin(t)} \, dt &= -\int\limits^x {5sin(5t)} \, d(cos(t))\\ \\&=-[5sin(5t)cos(t)]+ \int\limits^x {25cos(5t)cos(t)} \, dt\\\\&=-5sin(5x)cos(x)+ \int\limits^x {25cos(5t)} \, d(sin(t))\\ \\&=-5sin(5x)cos(x)+[25cos(5t)sin(t)]+ \int\limits^x {25sin(5t)sin(t)} \, dt\\\\&=-5sin(5x)cos(x)+25cos(5x)sin(x)+ \int\limits^x {(25*5)sin(5t)sin(t)} \, dt\end{aligned}$

And we can recognise the same integral, so.

$\displaystyle (25-1)\int\limits^x {5sin(5t)sin(t)} \, dt= +5sin(5x)cos(x)-25cos(5x)sin(x)$

And then,

$\displaystyle \Large \boxed{\sf \bf\int\limits^x {5sin(5t)sin(t)} \, dt=\dfrac{5sin(5x)cos(x)-25cos(5x)sin(x)}{24}+C}$

Thanks

3 0

2 years ago