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exis [7]
3 years ago
10

Analyze the conditional statement below and complete the instructions that follow. You will receive the trophy if you win the ch

ampionship match. Identify the hypothesis and the conclusion of the conditional statement. hypothesis: you will receive the trophy; conclusion: you win the championship match hypothesis: you do not win the championship match; conclusion: you will not receive the trophy hypothesis: you win the championship match; conclusion: you will receive the trophy hypothesis: you will not receive the trophy; conclusion: you do not win the championship match
Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
8 0
<h2>Answer:</h2>

The correct hypothesis and conclusion for the given conditional statement is:

    <u>hypothesis:</u> you win the championship match.

    <u> conclusion:</u> you will receive the trophy.

<h2>Step-by-step explanation:</h2>

We know that a conditional statement is represented by symbols p and q as:

         If p then q. ( or p→q)

where p is the hypothesis statement and q is the conditional.

Here we are given conditional statement as:

  " You will receive the trophy if you win the championship match "

The hypothesis is a statement such that when it happens than it leads to some result called as conclusion.

Hence, here the hypothesis is:

      " If you win the championship match "

and the conclusion that happens after winning the match is:

            " You will receive the trophy "

kherson [118]3 years ago
3 0
This is a problem of logic. So we need to identify what the conditional statement means. In logic, there are several operators, one of them is the conditional operator. <span>As the name implies, the conditional operator creates a compound statement that sets up a condition for something to be true. If the condition is met, the statement is true.

<u>Symbol:</u> </span>→

<u>Parts of Conditional:</u> Two simple statements joined by the conditional symbol. The first simple statement in a conditional is called the antecedent and the second simple statement is called the consequent<span>.

</span>So let's analyze each case:<span>

Case 1. </span><span>Analyze the conditional statement and complete the instructions that follow.

</span><u>Statement:</u><em> You will receive the trophy if you win the championship match.</em>

We can rewrite this in a standard form of the conditional operator, that is:

A→B: If you win the championship match then you will receive the trophy

A: You win the championship match
B: You will receive the trophy

<u>Hypothesis:</u> You win the championship match
<u>Conclusion:</u> You will receive the trophy

Case 2. 

According to the problem we have:

<u>Hypothesis:</u> You will receive the trophy.
<u>Conclusion:</u> Y<span>ou win the championship match
</span>
A: You will receive the trophy.
B: You win the championship match

We can rewrite this in an standard form of the conditional statement, that is:

A→B: If you will receive the trophy then you win the championship match

Case 3. 

According to the problem we have:

<span><u>Hypothesis:</u> You do not win the championship match.
<u>Conclusion:</u> You will not receive the trophy
</span>
A: You do not win the championship match.
B: You will not receive the trophy

We can write this in a conditional statement:

A→B: If you do not win the championship match then you will not receive the trophy

Case 4. 

According to the problem we have:

<span><u>Hypothesis: You win the championship match</u>
<u>Conclusion:</u> You will receive the trophy
</span>
We can rewrite this in a conditional statement:

A: You win the championship match
B: You will receive the trophy

We can write this in a conditional statement:

A→B: If you win the championship match then you will receive the trophy

Case 5. 

According to the problem we have:

<u>Hypothesis:</u> Y<span>ou will not receive the trophy
</span><u>Conclusion:</u> <span>you do not win the championship match
</span>
A: You will not receive the trophy
B: You do not win the championship match

We can write this in a conditional statement:

A→B: If you will not receive the trophy then you do not win the championship match.
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A computer company's stock costs $122 at the start of the day. At the end of the day it costs $93. By what amount did the stock'
Helga [31]

Answer:

the amount the stock changed over the day = $29

Step-by-step explanation:

The stock cost $122 at the start of the day . At the end of the day it cost $93. The amount the stock value changed can be calculated below.

The initial amount of the stock that days was $122 but at the end of the day it changes to $93. This means the stock cost decreases over the day.

Initial cost of stock at the day = $122

Final cost at the end of the day = $93

the amount the stock changes over the day = initial cost of stock at the day - final cost at the end of the day.

the amount the stock changes over the day = 122 - 93

the amount the stock changed over the day = $29

Generally, the stock decreased over the day.

7 0
3 years ago
Between 0 degrees Celsius and 30 degrees Celsius, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is giv
Ira Lisetskai [31]

Answer:

T = 3.967 C

Step-by-step explanation:

Density = mass / volume

Use the mass = 1kg and volume as the equation given V, we will come up with the following equation

D = 1 / 999.87−0.06426T+0.0085043T^2−0.0000679T^3

   = (999.87−0.06426T+0.0085043T^2−0.0000679T^3)^-1

Find the first derivative of D with respect to temperature T

dD/dT = \dfrac{70000000\left(291T^2-24298T+91800\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^2}

Let dD/dT = 0 to find the critical value we will get

\dfrac{70000000\left(291T^2-24298T+91800\right)}  = 0

Using formula of quadratic, we get the roots:

T =  79.53 and T = 3.967

Since the temperature is only between 0 and 30, pick T = 3.967

Find 2nd derivative to check whether the equation will have maximum value:

-\dfrac{140000000\left(395178T^4-65993368T^3+3286558821T^2+2886200857800T-121415215620000\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^3}

Substituting the value with T=3.967,

d2D/dT2 = -1.54 x 10^(-8)    a negative value. Hence It is a maximum value

Substitute T =3.967 into equation V, we get V = 0.001 i.e. the volume when the the density is the highest is at 0.001 m3 with density of

D = 1/0.001 = 1000 kg/m3

Therefore T = 3.967 C

3 0
3 years ago
Tony made $396 for 18 hours of work at the same rate how many hours would he have to work to make $198
tresset_1 [31]

Answer:

9 hours.

Step-by-step explanation:

So, first, you have to determine what he makes per hour to make this as easy as possible. You need to first do 396 divided by 18, which gives you 22. He makes 22$ an hour. Next, now that you know what he makes, you can do 198 divided by 22, and that'll show how long he has to work to make that amount of money.

Hope this helped. Please mark this brainliest if you think this helped. Let me know if you need anymore help and I am more than happy.

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Solve by completing the square
skelet666 [1.2K]

Answer:

ez

Step-by-step explanation:

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What is the least common multiple of 4, 27, 12.
ryzh [129]
The lease common multiple of the set of numbers is 108.

108/4=27.
108/27=4.
108/12=9.
7 0
3 years ago
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