Answer:
I. 1 cup is $4.50
2 cups is $9.00
3 cups is $13.50
ll. 6 cups is $27.00
Step-by-step explanation:
Now since the number of cups is proportional to the total cost of frozen yoghurt,and the cost of 4 yoghurts cups where given .ie. $18.00
then 1 cup is $18/4 which is $4.50 per one cup, thus the other cost of cups are given.
therefore 6 cups is 6•18/4 which is $27.00.
hence 5 cups is 5•18/4 which is $22.50.
Answer:
Step-by-step explanation:
1) The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis. Thus, the radius is 5.
2) Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given
(x - 4)^2 + (y + 3)^2 = 6^2
we see that h = 4, k = -3 and r = 6. The center is at (4, -3) and the radius is 6.
3) Notice that A and B have the same x-coordinate, x = 15. The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction. Arbitrarily choose A(15, 4) as one point on the circle. Then the equation of this circle is
(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).
The limit is presented in the following undefined form:
In cases like this, we can use de l'Hospital rule, which states that this limit, if it exists, is the same as the limit of the derivatives of numerator and denominator.
So, we switch
The derivative of the numerator is
Whereas the derivative of the denominator is
So, the new limit is
So, it would seem that we didn't solve anything, but indeed we have! Recall the limit
to conclude that the limit converges to \dfrac{6}{25} [/tex]
Answer:
t=7seconds or 5seconds
Step-by-step explanation:
s=-16t^2 +192t
let s=560ft
560=-16t^2 +192t
16t^2 -192t+560=0
16(t^2-12t+35)=0
(t^2 -12t +35)=0
factoring it ,it will give
(t-7)(t-5)=0
solving for t
t-7=0 or t-5=0
t=7s or t=5s
Answer:
no
Step-by-step explanation:
A right triangle consists of one angle being 90 degrees. Contrast to this picture, the triangle has no angle of 90 degrees.
