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The square root of 10 is the same as 10^^1/2

So the problem would be rewritten as:

10^^1/2 * 10^⁴

When you multiply exponents with the same base, you add their powers together:

= 10^^{1/2 + 4}

= 10^^9/2

-7x=42

Divide each side by -7 to get x:

-7x/-7 = 42/-7

x = -6

30 hours x $25.00 per hour  =  $750.00

The markup of 30% on $4500.00 is  .30 x 4500  =  $1350.00

The total made by the designer is  $750.00 +  $1350.00  =  $2100.00

Total cost to the employer: $2100.00 + $4500.00  =  $6600.00

On the site calculator (and just about any calculator) the carrot sign that you used "^" would suffice for the power button.

However, it is also either of the buttons $${{\mathtt{x}}}^{{\mathtt{2}}}$$ (number squared) , $${{\mathtt{x}}}^{{\mathtt{3}}}$$ (number cubed), or $${{\mathtt{x}}}^{{\mathtt{y}}}$$ (number to any power) in the 5th column from the left on the site calculator:)

In 90 ml that is 75% acid, the amount of acid is 90 ml x .75  =  67.5 ml of acid.

A)  67.5 ml + 35 ml  =  102.5 ml.

B) The total amount in the mixture is 90 ml + 35 ml  =  125 ml.

     Of this, 102.5 ml is acid. To find the percentage:  102.5 / 125  =  82%.

1+ 1/3  = 4/3

4(2/3 - 4/3)  =  -(-1/9 + x)

4(-2/3)  =  1/9 - x

-8/3  =  1/9 - x

-8/3 - 1/9  =  -x

-24/9 - 1/9  =  -x

-25/9  =  -x

x  =  25/9  

Written as unreduced radicals and arranged in order, the problem is:

1/(√16 + √14) + 1/(√14 + √12)+1/(√12 + √10)+ 1/((√10 + √8) * 1/(√8 + √6) + 1/(√6 + √14)

Now multiply each fraction by (its conjugate divided by its conjugate):

1/(√16 + √14)·(√16 - √14)/(√16 - √14) =  (√16 - √14)/(16 - 14) = (√16 - √14)/2

1/(√14 + √12)·(√14 - √12)/(√14 - √12) =  (√14 - √12)/(14 - 12) = (√14 - √12)/2

1/(√12 + √10)·(√12 - √10)/(√12 - √10) =  (√12 - √10)/(12 - 10) = (√12 - √10)/2

...

1/(√6 + √4)·(√6 - √4)/(√6 - √4) =  (√6 - √4)/(6 - 4) = (√6 - √4)/2

Note that all the denominators are 2, so the numerators can be added.

Now note that when you add all the numerators together, all the intermediate terms cancel and the only terms left in the numerator is the first and the last:  √16 - √4  = 4 - 2  = 2

So this sumes to  2/2  = 1  <-----  A quite surprising result! And, a super neat problem!

or

2/9km in 9minutes

is

2/81km in 1 minute

is

2/81*60km in 1 hour

$${\frac{{\mathtt{2}}}{{\mathtt{81}}}}{\mathtt{\,\times\,}}{\mathtt{60}} = {\frac{{\mathtt{40}}}{{\mathtt{27}}}} = {\mathtt{1.481\: \!481\: \!481\: \!481\: \!481\: \!5}}$$     km/hour

0.16666666667

BRUH!!!

Never mind, it's 15.

-45 -30 -75

This is not a function because it doesn't pass the vertical line test. Notice that if y = -1, then x = 1. And if y = 1, x =1.   So the points (1, -1) and (1, 1) are on the graph. But the same x value can't have two y values associated with it, since the vertical line x = 1 would go through both points.

if he eats 8 snicker bars, he probably has flippin diabetes

sorry the image wouldn't get in.

21?????????????

18 factors as  3 x 6

36 factors as 6 x 6

42 factors as 7 x 6

And the greatest common number that divides all three is 6.

-1x -5 > 8      add 5 to both sides

-1x > 13        divide both sides by -1 and remember, when we multiply/divide an inequality by a negative, we have to reverse the inequality sign....so we have

x < -13

5 (12/4)-8+2   so we have

5(3) - 8 +2     perform the multiplication, first

15 - 8 + 2 =

7 + 2 =

9

The answer is 21

9+10=19

An upset stomach   ?????

OK, we can solve this with a proportion.......using 1 hr. = 60 minutes, we have

(2/9)/9 = d/60    where d is the distance Fiona can swim in an hour...so we have...

2/81 = d/60       cross-multiply

81d = 2*60       divide by 81 on both sides

d = (2*60)/81 = 40/29km = about 1.481km

the answer is 2 because if you start with ten and eat 8 you get 2 because 10-8=2

Ok so you have 9 sets of something and you add 10 to the set of 9 and in total you have 19

SO... 9+10=19