All categories

3 years ago

Can someone help with this please

Mathematics

2 answers:

DanielleElmas [232]3 years ago

7 0

Answer:

Step-by-step explanation:

3^8 * 3^4

ـــــــــــــــــــــ

3^2 * 3^8 =

3^(8+4)

ـــــــــــــــــــــ

3^(2+8) =

3^12

ـــــــــــــــــــــ

3^10 =

3^2

crimeas [40]3 years ago

5 0

Answer:

$3^2$

Step-by-step explanation:

$\frac{3^8*\:3^4}{3^2*\:3^8}$

Apply Exponent rule: $a^b\cdot \:a^c=a^{b+c}$

$\frac{3^{12}}{3^8* \:3^2}$

$\frac{3^{12}}{3^{10}}$

Apply exponent rule: $\frac{x^a}{x^b}=x^{a-b}$

$3^{12-10}=3^2$

You might be interested in

Write 1/5 as a percent.

Softa [21]

Answer:

0.2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

You want to get from a point A on the straight shore of the beach to a buoy which is 54 meters out in the water from a point B o

anyanavicka [17]

Answer:

$x =\dfrac{45 \sqrt{6}}{ 2}$

Step-by-step explanation:

From the given information:

The diagrammatic interpretation of what the question is all about can be seen in the diagram attached below.

Now, let V(x) be the time needed for the runner to reach the buoy;

∴ We can say that,

$\mathtt{V(x) = \dfrac{70-x}{7}+\dfrac{\sqrt{54^2+x^2}}{5}}$

In order to estimate the point along the shore, x meters from B, the runner should stop running and start swimming if he want to reach the buoy in the least time possible, then we need to differentiate the function of V(x) and relate it to zero.

i.e

The differential of V(x) = V'(x) =0

= $\dfrac{d}{dx}\begin {bmatrix} \dfrac{70-x}{7} + \dfrac{\sqrt{54^2+x^2}}{5} \end {bmatrix}= 0$

$-\dfrac{1}{7}+ \dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}=0$

$\dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{5x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{\dfrac{7}{5}}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{5}{7}$

squaring both sides; we get

$\dfrac{x^2}{54^2+x^2}= \dfrac{5^2}{7^2}$

$\dfrac{x^2}{54^2+x^2}= \dfrac{25}{49}$

By cross multiplying; we get

$49x^2 = 25(54^2+x^2)$

$49x^2 = 25 \times 54^2+ 25x^2$

$49x^2-25x^2 = 25 \times 54^2$

$24x^2 = 25 \times 54^2$

$x^2 = \dfrac{25 \times 54^2}{24}$

$x =\sqrt{ \dfrac{25 \times 54^2}{24}}$

$x =\dfrac{5 \times 54}{\sqrt{24}}$

$x =\dfrac{270}{\sqrt{4 \times 6}}$

$x =\dfrac{45 \times 6}{ 2 \sqrt{ 6}}$

$x =\dfrac{45 \sqrt{6}}{ 2}$

8 0

3 years ago

Jared a beekeeper placed 120 hives in a apple orchard

Shtirlitz [24]

Answer: 20

Step-by-step explanation:

6 0

2 years ago

Find the measure of angle ABD

alexira [117]

Answer:

120

Step-by-step explanation:

180-50-70=60

180-60=120

6 0

2 years ago

A scale on a map shows that 2.52.52, point, 5 centimeters represents 151515 kilometers.

Dmitry_Shevchenko [17]

Answer:

105 km

Step-by-step explanation:

Written as a proportion, the ratio of km to cm will be the same for both distances:

(x km)/(17.5 cm) = (15 km)/(2.5 cm)

x km = (15 km)(17.5/2.5) = 105 km

105 actual kilometers are represented by 17.5 cm on the map.

5 0

2 years ago