<h2><u>Corect option</u> :</h2>
![= \color{plum}\tt(C) 7 \frac{2}{4}](https://tex.z-dn.net/?f=%3D%20%5Ccolor%7Bplum%7D%5Ctt%28C%29%207%20%5Cfrac%7B2%7D%7B4%7D%20)
<h2><u>Answer with steps</u> :</h2>
Quantity of water she needs ![= \tt \frac{3}{4} \: cup](https://tex.z-dn.net/?f=%20%3D%20%5Ctt%20%5Cfrac%7B3%7D%7B4%7D%20%5C%3A%20%20cup%20)
Number of servings she needs = 10
Number of cups of water she will need :
![= \tt \frac{3}{4} \: \times 10](https://tex.z-dn.net/?f=%20%3D%20%5Ctt%20%5Cfrac%7B3%7D%7B4%7D%20%5C%3A%20%20%20%5Ctimes%2010)
![= \tt\frac{30}{4}](https://tex.z-dn.net/?f=%20%3D%20%20%5Ctt%5Cfrac%7B30%7D%7B4%7D%20)
![=\tt 7\frac{2}{4} \: cups](https://tex.z-dn.net/?f=%20%3D%5Ctt%20%207%5Cfrac%7B2%7D%7B4%7D%20%5C%3A%20%20cups)
Thus, she needs
of water.
Therefore, the correct option is ![\color{plum}\tt(C) 7 \frac{2}{4}](https://tex.z-dn.net/?f=%5Ccolor%7Bplum%7D%5Ctt%28C%29%207%20%5Cfrac%7B2%7D%7B4%7D%20)
Answer:
-55
Step-by-step explanation:
the sqeuence seems to be subtracting by 2 everytime.
so it will be -1,-3,-5,-7,-9,-11,-13,-15,-17,-19,-21,-23,-25,-27,-29..
the answer will be 27*-2(-54) -1(because we start at -1 , not 0)
5.476 rounded to the hundrdths is
5.48
Answer:
![3\sqrt{3} + 72](https://tex.z-dn.net/?f=3%5Csqrt%7B3%7D%20%2B%2072)
Step-by-step explanation:
I attached an image to aid the understanding of the question.
Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:
![9 \times 8 = 72ft^{2}](https://tex.z-dn.net/?f=9%20%5Ctimes%208%20%3D%2072ft%5E%7B2%7D)
It remains the area of the shaded square with side S.
From the question, we have the following ratio:
I did not add ± because length is always positive, so the case of negative is eliminated.
Now the areas of S is ![3\sqrt{3}](https://tex.z-dn.net/?f=3%5Csqrt%7B3%7D)
Therefore, the total area of the shaded squares is
![3\sqrt{3} + 72](https://tex.z-dn.net/?f=3%5Csqrt%7B3%7D%20%2B%2072)
Answer:
- (-1, -32) absolute minimum
- (0, 0) relative maximum
- (2, -32) absolute minimum
- (+∞, +∞) absolute maximum (or "no absolute maximum")
Step-by-step explanation:
There will be extremes at the ends of the domain interval, and at turning points where the first derivative is zero.
The derivative is ...
h'(t) = 24t^2 -48t = 24t(t -2)
This has zeros at t=0 and t=2, so that is where extremes will be located.
We can determine relative and absolute extrema by evaluating the function at the interval ends and at the turning points.
h(-1) = 8(-1)²(-1-3) = -32
h(0) = 8(0)(0-3) = 0
h(2) = 8(2²)(2 -3) = -32
h(∞) = 8(∞)³ = ∞
The absolute minimum is -32, found at t=-1 and at t=2. The absolute maximum is ∞, found at t→∞. The relative maximum is 0, found at t=0.
The extrema are ...
- (-1, -32) absolute minimum
- (0, 0) relative maximum
- (2, -32) absolute minimum
- (+∞, +∞) absolute maximum
_____
Normally, we would not list (∞, ∞) as being an absolute maximum, because it is not a specific value at a specific point. Rather, we might say there is no absolute maximum.