Answer:
¬(W∨S)→¬(J∨E)
D→(B∨C)
X is true
No
Step-by-step explanation:
The hypotheses "neither water nor soft drinks can quench your thirst" translates to ¬(W∨S) ("neither nor" negates the disjunction W∨S). The "if,... then" translates to the implication symbol (arrow). The conclusion "juice will not do it, unless the juice contains electrolytes" translates to ¬(J∨E). This is because if J or E were true, then J would be true (because E implies J), contrary to the conclusion that J is false ("juice will not do it"), then J∨S is false.
The hypothesis here is "the dyer breaks" hence D is the hypothesis. The conclusion is "we will hang the clothes to dry, or take the clothes to a coin-operated laundry" which is the same as (B∨C).
The proposition p→p is always true (according to truth tables). In this case, p:=X is true, then p is true and X is true.
X∨Y is false if and only if X is false and Y is false, so both statements X,Y must be false.
a. She used 1/10 of the spinach for a salad.b. She used 1/2 pound of spinach for the salad.
We can solve each part of this problem by using a "fraction strip". The strip helps show a breakdown of what portion of spinach was used for each the party, family, and salad. See the attached image for a step by step example of how to multiply the fractions to find the correct portions.
9514 1404 393
Answer:
- C
- E
- B
Step-by-step explanation:
The idea of a "production possibilities curve" is that there is a fixed relationship between possible production of one product and possible production of another. This relationship is presumed to exist because resources used to produce one product are then unavailable to produce the other product.
The graph of the curve generally has increased production in the direction away from the origin. So, points between the curve and the origin represent production choices that do not utilize all available resources of the kind that give rise to the curve. That is, points "inside" the curve represent under-utilization of resources.
1. Point C represents under-utilization.
__
2. Points "outside" the curve are unattainable, because the curve represents production using all available resources.
Point E is unattainable.
__
3. The assumptions behind the curve are that there must be a tradeoff between production of one item and production of another that uses the same resources. That is, increasing production of one item will necessarily decrease production of the other, representing a cost of the increased production of the first item. We call this cost an "opportunity cost", because it represents production opportunity lost with respect to the second item.
Choice B describes this situation.
_____
<em>Additional comment</em>
The very idea of a "production possibilities curve" represents the sort of simplification that is often used in the study of economics. The real world is much messier, and these curves are always dynamic. They are affected by the regulatory environment, resource quality, technology, product quality, and availability of alternate or competing products, among other things. The very existence of such a curve precludes the possibility of "win-win" situations, which we know are generally available if they are sought after.
After plotting all the three points, we get the parabolic equation in the form is 2(x - 1)²-34.
<h3>What is parabola?</h3>
Any point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line.
General equation of the quadratic equation,
Y = ax² + bx +c
Given points,
(-2, 0),
(-1, -10),
(4, 0).
Putting the points in the general equation,
Putting (-2, 0), we get
0 = 4a - 2b + c
Putting (-1, -10), we get
-10 = a - b +c
Putting (4, 0), we get
0 = 16a + 4b +c
Solving all equations we get,
a = 2 , b = -4 , c = -16
After putting the values,
Y = 2x²- 4x- 16
2(x² - 2x - 8)
2(x²- 2x + 1 - 1 - 16)
=2(x - 1)²-34
Hence we get the required equation in the parabolic form.
To know more about parabola, visit :
brainly.com/question/21685473
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Answer:
Carry
Step-by-step explanation:
Here let’s take any arbitrary value for the number of properties sold by Ellen.
Let the number of properties sold by Ellen he 10. We were told Andy sold twice of this, this means he sold 20 properties
Bob sold 3 more than Ellen, meaning he sold 13.
Carry sold twice of Bob meaning he sold 26
Dora sold the addition of Bob and Ellen = 13 + 10 = 23
Carry sold 26 and this makes him the highest seller.
