Answer:
width = 5k^2
length( 3k^2 +7k +4)
Step-by-step explanation:
15k^4 +35k^3 +20k^2
The width is the greatest common factor
We can factor 5k^2 out
5k^2( 3k^2 +7k +4)
The length is what is inside the parentheses
Answer: their bank balance would be
- 64.49
Step-by-step explanation:
They have 100 in savings and 121.50 in their bank account. It means that the total amount that they have to buy the freezer is
100 + 121.5 = 221.5
The cost of the freezer is 285.99. If they buy the freezer, the amount that would be left in their bank account or the bank balance would be
221.5 - 285.99 = - 64.49
The negative value is due to the face that they the cost of the freezer is higher than what they have in total.
We are asked in the problem to evaluate the integral of <span>(cosec^2 x-2005)÷cos^2005 x dx. The function is an example of a complex function with a degree that is greater than one and that uses special rules to integrate the function via the trigonometric functions. For example, we integrate
2005/cos^2005x dx which is equal to 2005 sec^2005 x since sec is the inverse of cos. The integral of this function when n >3 is equal to I=</span><span>∫<span>sec(n−2)</span>xdx+∫tanx<span>sec(n−3)</span>x(secxtanx)dx
Then,
</span><span>∫tanx<span>sec(<span>n−3)</span></span>x(secxtanx)dx=<span><span>tanx<span>sec(<span>n−2)</span></span>x/(</span><span>n−2)</span></span>−<span>1/(<span>n−2)I
we can then integrate the function by substituting n by 3.
On the first term csc^2 2005x / cos^2005 x we can use the trigonometric identity csc^2 x = 1 + cot^2 x to simplify the terms</span></span></span>
Answer:$18.75
Step-by-step explanation: first multiply 8 times 1.25 then multiply 5 times 1.75 then add both of your numbers and put the decimal point back
Answer:
367.50
Step-by-step explanation:
300 + .30x (x = sales for week)
300 + (.30 * 225)
300 + 67.50
367.50