Answer:
7.5* 10^8
Step-by-step explanation:
(1.5 x 10^5)(5 x 10^3)
Multiply the numbers
1.5*5=7.5
Add the exponents
10 ^(5+3) = 10^8
Put back together
7.5* 10^8
This is in scientific notation
Answer: x = -0.3
Step-by-step explanation:
<u>Given expression</u>
1 - 3 (9x + 3) = 3x + 1
<u>Expand parentheses and apply the distributive property</u>
1 - 27x - 9 = 3x + 1
<u>Combine like terms</u>
(1 - 9) - 27x = 3x + 1
-8 - 27x = 3x + 1
<u>Subtract 3x on both sides</u>
-8 - 27x - 3x = 3x + 1 - 3x
-8 - 30x = 1
<u>Add 8 on both sides</u>
-8 - 30x + 8 = 1 + 8
-30x = 9
<u>Divide - 30 on both sides</u>
(-30)x / (-30) = 9 / (-30)
(-30)x / (-30) = 3 / (-10)
![\boxed{x=-0.3}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D-0.3%7D)
Hope this helps!! :)
Please let me know if you have any questions
Generally the value of y would be 34 because same two square roots of n multiplying each others would equal to n by the definition.
![\large \boxed{ \sqrt{a} \times \sqrt{a} = ( \sqrt{a} )^{2} = a}](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7B%20%5Csqrt%7Ba%7D%20%20%5Ctimes%20%20%5Csqrt%7Ba%7D%20%20%3D%20%28%20%5Csqrt%7Ba%7D%20%29%5E%7B2%7D%20%20%3D%20a%7D)
Although it is easy to predict the solution of y-value, I will be showing you how to solve the radical equation for y-term which will be useful.
![\large \boxed{ \sqrt{a} \times \sqrt{b} = \sqrt{ab} }](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7B%20%5Csqrt%7Ba%7D%20%20%5Ctimes%20%20%5Csqrt%7Bb%7D%20%20%3D%20%20%5Csqrt%7Bab%7D%20%7D)
So from the equation, convert √34 × √y to √34y
![\large{ \sqrt{34} \times \sqrt{y} = 34} \\ \large{ \sqrt{34y} = 34}](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%5Csqrt%7B34%7D%20%20%5Ctimes%20%20%5Csqrt%7By%7D%20%20%3D%2034%7D%20%5C%5C%20%20%5Clarge%7B%20%5Csqrt%7B34y%7D%20%20%3D%2034%7D)
Then we square both sides to get rid of the square root.
![\large{ {( \sqrt{34y} )}^{2} = {34}^{2} } \\ \large{34y = 1156}](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%7B%28%20%5Csqrt%7B34y%7D%20%29%7D%5E%7B2%7D%20%20%3D%20%20%7B34%7D%5E%7B2%7D%20%7D%20%5C%5C%20%20%5Clarge%7B34y%20%3D%201156%7D)
Divide both sides by 34 so we can finally isolate the y-term.
![\large{ \frac{34y}{34} = \frac{1156}{34} } \\ \large \boxed{y = 34}](https://tex.z-dn.net/?f=%20%5Clarge%7B%20%5Cfrac%7B34y%7D%7B34%7D%20%20%3D%20%20%5Cfrac%7B1156%7D%7B34%7D%20%7D%20%5C%5C%20%20%5Clarge%20%5Cboxed%7By%20%3D%2034%7D)
Hence the value of y is 34.
Answer
when r = c is the break even point.
since r = 14x and c = 12x + 36000, then the break even point is when 14x = 12x + 36000
subtract 12x from both sides of this equation to get 14x - 12x = 36000.
combine like terms to get 2x = 36000.
divide both sides of this equation by 2 to get x = 18000.
that'a our answer.
the revenue will be equal to the cost when 18000 units are sold.
revenue = 14 * 18000 = 252000.
cost = 12 * 18000 + 36000 = 252000.
Sin(t)=8/17
cos(t)=-15/17
tan(t)=-8/15
sec(t)=-17/15
csc(t)=17/8
cot(t)=-15/8