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serg [7]
4 years ago
10

Finding slope given the graph of a line on a grid

Mathematics
1 answer:
nikitadnepr [17]4 years ago
8 0

Answer: -1,4

Step-by-step explanation:

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I just don't know it
denis23 [38]
Looking at the question. you'll know that it's a subtraction question so that eliminates C and D. Now look at A and B. It says that 33 stamps were used. So that means the answer is not a negative expression. (B) Is Eliminated. 




ANSWER : A


5 0
4 years ago
Use truth tables to show that the following statements are logically equivalent. ∼ P ⇔ Q = (P ⇒∼ Q)∧(∼ Q ⇒ P)
Alina [70]

Answer:  The given logical equivalence is proved below.

Step-by-step explanation:  We are given to use truth tables to show the following logical equivalence :

∼ P ⇔ Q ≡ (P ⇒∼ Q)∧(∼ Q ⇒ P)

We know that

two compound propositions are said to be logically equivalent if they have same corresponding truth values in the truth table.

The truth table is as follows :

P     Q     ∼ P     ∼Q   ∼ P⇔ Q    P ⇒∼ Q    ∼ Q ⇒ P     (P ⇒∼ Q)∧(∼ Q ⇒ P)

T     T         F        F             F            F                   T                       F

T     F         F        T             T             T                   T                       T

F     T         T        F             T            T                   T                       T

F     F         T        T             F            T                   F                       F

Since the corresponding truth vales for ∼ P ⇔ Q and (P ⇒∼ Q)∧(∼ Q ⇒ P) are same, so the given propositions are logically equivalent.

Thus, ∼ P ⇔ Q ≡ (P ⇒∼ Q)∧(∼ Q ⇒ P).

8 0
3 years ago
Paul wants to figure out the fuel consumption of his new SUV in the city. He made
Oduvanchick [21]

Answer:

<em>a. 15.12 L / 100 Km</em>

<em>b. $72.75</em>

<em>c. $51.34</em>

Step-by-step explanation:

Proportions

Some quantities are assumed to be proportional to others. For example, the fuel consumption of a vehicle is said to be proportional to the distance traveled. The cost of the fuel is proportional to the liters used.

We have the following data: The odometer read 5,600 km when the tank was empty and read 6,096 km when he was empty again. It means a full tank of fuel is enough to travel a distance of 6,096 - 5,600 = 496 Km. Knowing the capacity of the tank is 75 L, we can estimate the following calculations

. We'll compute the estimated or average fuel consumption of the SUV in L/100 km. We only need to divide 75 L / 496 km = 0.1512096 L/km, multiplying by 100:

Answer: 0,1512096*100 = 15.12097 L/100 Km

b. The price of the fuel is $0.97 per liter. Each tank has 75 liters, so the cost to fill the tank is 0.97*75= $72.75

c. If Paul drives at least 350 Km per week, he needs 0.1512096*350= 52.92 Liters of fuel. The weekly cost will be 52.92*0.97=$51.34

5 0
4 years ago
Let u = (5, -7) and v = (2, 1). What is u · v?<br> -2<br> 1<br> 3<br> 17
pychu [463]

Answer: B: 3

Step-by-step explanation: did on edge

3 0
3 years ago
Read 2 more answers
A random sample of 11 fields of spring wheat has a mean yield of 20.2 bushels per acre and standard deviation of 5.19 bushels pe
morpeh [17]

Answer:

CI=(15.2,25.1)

Step-by-step explanation:

From the Question We are told that

Sample size n=11

Mean \=x =20.2

Standard Deviation \sigma=5.19

Generally the equation for Critical Value is mathematically given by

Critical\ value = t_{\alpha/2,(n-1)}

Critical\ Value=t_{0.01/2,10}

Critical\ Value=3.1693

Generally he 99% confidence interval for the mean yield is

CI=\bar{X}\pm t_{\alpha/2,(n-1)}S/{\sqrt{n}}

CI=20.2\pm 3.1693*5.19/{\sqrt{11}}

CI=20.2\pm4.9595

CI=(15.2,25.1)

6 0
3 years ago
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