All categories

2 years ago

Which expressions are equivalent to 10/10^3/4?

Mathematics

1 answer:

drek231 [11]2 years ago

6 0

$\frac{10}{10 {}^{ \frac{3}{4} } } = 10 {}^{1 - \frac{3}{4} } = 10 { }^{ \frac{4 - 3}{4} }$

$10 {}^{ \frac{ 1}{4} }$

You might be interested in

Five-sixths of b is added to 7

Strike441 [17]

The answer would be 7+5/6b

5 0

3 years ago

Read 2 more answers

Help mehelp mehelp mehelp mehelp mehelp me

Bas_tet [7]

Step-by-step explanation:

use Pythagoras theorem,

${a}^{2} + {b}^{2} = {c}^{2}$

${6}^{2} + {8}^{2} = {c}^{2} \\ 36 + 64 = {c}^{2} \\ c = \sqrt{100 } \\ c = 10$

6 0

2 years ago

Read 2 more answers

Find the exact value of the given expression.<br> sin(2cos^-1(5/13))

xeze [42]

Answer:

+120/169 or -120/169

Step-by-step explanation:

let $cos^{-1}[\frac{5}{13} ] = \alpha$

where, alpha is some angle that satisfies the assumed condition.

so, $cos\alpha= 5/13$

[ taking cos to the other side or applying cos on both sides]

now, substitute this in the given expression

$sin(2cos^-1(5/13)) = sin(2\alpha )$

as sin $\beta$ = $+ or -\sqrt{1-(cos\beta) ^{2}$

[by general trigonometry formula: $cos^{2}[\beta] +sin^{2}[\beta]=1$ ]

so if $cos\alpha= 5/13$ , we can get sin $\alpha$ from the above formula as + or - 12/13

(because, after taking square root on both sides we keep + or -]

as, sin $2\beta = 2*sin[\beta ]*cos[\beta ]$

[by general trigonometry formula]

here, now $sin[2\alpha ]=2*(+or- 12/13)*5/13\\$

so, the final value can be 120/169 or -120/169.

4 0

3 years ago

14 less than 8 times a number is 3 more than 4 times the number what is the number?

Anestetic [448]

Answer:

Step-by-step explanation:

8.x-13=3+4.x

8.x-13=7.x

x-13+8=7.x

x-5=7.x

x-x=7+5

x-x=12

x=12

3 0

3 years ago

A camel can drink 25 gallons of water in 10 minutes. How many cups of water can the camel drink in 10 minutes?

Alecsey [184]

Question:

A camel can drink 25 gallons of water in 10 minutes. How many cups of water can the camel drink in 10 minutes?

Solution:

1 cup = 0.25 quarts.

4 quarts= 1 gallon

Then, according to this information, we get the following table:

Note that 4 quarts= 1 gallon, then 1 gallon is equivalent to 16 cups.

Then, 25 gallons are equivalent to:

$25\text{ gallons(}\frac{16\text{ cups}}{1\text{ gallon}}\text{)}=\text{ 400 cups}$

D. According to the above information, we obtain that 25 gallons of water are 400 cups .

So that, we can conclude that the correct answer is:

The camel can drink 400 cups of water in 10 minutes

8 0

1 year ago