Answer:
100/9
Step-by-step explanation:
(7*5*2/7*3)² * (5^0/2^-3)³ * 2^-9
Solution:
We know that any number with power 0 = 1
(7*5*2/7*3)² * (1/2^-3)³ * 2^-9
Now cancel out 2 by 2
= (7*5*2/7*3)² * (1/1^-3)³ * 1^-9
=(70/21)² * (1)³/(1^-3)³ * 1^-9
=(10/3)^2 * 1/1^-1 * 1/1^9
=100/9 *1 *1
=100/9....
Answer:
The answer is 2root5 or C
Step-by-step explanation:
The square root of 20 is 4.472135... so, you have to solve what of your possible solutions could be the right answer (it's best to use a graphing calculator). We already know it not A, so that's off the list because the square root of 20 is already greater than 4. We then move onto C or 2root5 which we also get 4.472135... (by doing 2 * the square root of 5). We then move onto B and find that 5root2 is 7.07 (by multiplying 5 by the square root of 2). So B is off the plate. Lastly, is 20 = to the square root of 20. No, we already established that in the beginning of the problem. So, overall the answer is C or 2root5.
Answer: Kristin bought 6 Math books and 5 English books.
Step-by-step explanation: Let x be the number of math books and y the number of english books.
Relation: 306=26x+30y
11=x+y
Solve using elimination method so you would get that y=5 then replace y=5 in the first equation to find x which is 6
The change in the water vapors is modeled by the polynomial function c(x). In order to find the x-intercepts of a polynomial we set it equal to zero and solve for the values of x. The resulting values of x are the x-intercepts of the polynomial.
Once we have the x-intercepts we know the points where the graph crosses the x-axes. From the degree of the polynomial we can visualize the end behavior of the graph and using the values of maxima and minima a rough sketch can be plotted.
Let the polynomial function be c(x) = x
² -7x + 10
To find the x-intercepts we set the polynomial equal to zero and solve for x as shown below:
x
² -7x + 10 = 0
Factorizing the middle term, we get:
x
² - 2x - 5x + 10 = 0
x(x - 2) - 5(x - 2) =0
(x - 2)(x - 5)=0
x - 2 = 0 ⇒ x=2
x - 5 = 0 ⇒ x=5
Thus the x-intercept of our polynomial are 2 and 5. Since the polynomial is of degree 2 and has positive leading coefficient, its shape will be a parabola opening in upward direction. The graph will have a minimum point but no maximum if the domain is not specified. The minimum points occurs at the midpoint of the two x-intercepts. So the minimum point will occur at x=3.5. Using x=3.5 the value of the minimum point can be found. Using all this data a rough sketch of the polynomial can be constructed. The figure attached below shows the graph of our polynomial.
Answer:
The original price of Toni's hair treatment was $85.
Step-by-step explanation:
From the information given, you know that $72.25 is the price with the 15% discount:
100%-15%=85%
This means that $72.25 representes 85% of the original price and with this, you can use a rule of three to find the price that represents 100%:
72.25→ 85%
x ← 100%
x=(72.25*100)/85
x=85
According to this, the answer is that the original price of Toni's hair treatment was $85.