Answer:
3*45=135 minutes.
Step-by-step explanation:
Hello there!
Start by seeing if there is an equal rate in the qmount of people that we are working with.
27/9=3 (so there's one)
3*45 (the amount of time when 9 people are in line)= 135 minutes
Have a great day!
Answer: 2.5 mL
Step-by-step explanation:
Given : A patient is given a solution containing 0.625 g of calcium carbonate.
i.e. Patient required calcium carbonate = 625 mg [∵ 1 g = 1000 mg]
Let x be the amount of solution ( in millimeters) given to the patients.
Ratio of amount of calcium carbonate (mg) to amount of solution (ml) =![\dfrac{625}{x}](https://tex.z-dn.net/?f=%5Cdfrac%7B625%7D%7Bx%7D)
If the calcium carbonate solution contains 1250 mg per 5 mL,
Then, Ratio of amount of calcium carbonate to amount of solution =![\dfrac{1250}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B1250%7D%7B5%7D)
By using proportion we have :-
![\dfrac{625}{x}=\dfrac{1250}{5}\\\\\Rightarropw\ x=\dfrac{5\times625}{1250}=2.5](https://tex.z-dn.net/?f=%5Cdfrac%7B625%7D%7Bx%7D%3D%5Cdfrac%7B1250%7D%7B5%7D%5C%5C%5C%5C%5CRightarropw%5C%20x%3D%5Cdfrac%7B5%5Ctimes625%7D%7B1250%7D%3D2.5)
Hence, 2.5 mL solution were given to the patient.
Sure. We have
and
so the midpoint M is
![M = \frac 1 2(E+C) = ((2t+2p)/2, (0+2r)/2)=(t+p,r)](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%201%202%28E%2BC%29%20%3D%20%28%282t%2B2p%29%2F2%2C%20%280%2B2r%29%2F2%29%3D%28t%2Bp%2Cr%29)
Choice B
Answer:
Standard Form:-w^12+4w^11
Degree: 12 degree
Leading Coefficient: -1
Step-by-step explanation:
Standard Form: Order the exponents from greatest to least.
Degree: The largest exponent is the degree; the exponent in the first term, IF it is in standard form.
Leading Coefficient: The coefficient of the first term in standard form. There is and understood 1 before the w in the first term.
Answer:
There are no positive roots
Step-by-step explanation:
The Descartes' rule posits that, given a polynomial with real coefficients ordered, the number of positive roots is equal to the amount of sign-changes OR to such amount minus a number multiple of 2. In you polynomial P(x)=x^3+6x^2+9x+5 you have NO sign-changes, as every coefficient is positive. So, we can confirm that, if the polynomial has real roots, none of these are positive. As 0 can'y be a root of P(x) (replace x=0 and confirm), if there is some root, it will be a negative root. However, the rule can't confirm that there are roots.