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Simora [160]
2 years ago
5

Explain how knowing 1+7 helps you find the sum for 7+1

Mathematics
2 answers:
kakasveta [241]2 years ago
4 0

We can use the concept of commutative property of addition here. We know that the addition follow the commutative property.

The commutative property of addition is given by

a+b=b+a

It means, if we change the order, it will not affect the result.

Therefore, using above mentioned property, we can see that

1+7 = 7+1

Hence, if we know the value of 1+7, then we can easily find the value of 7+1 because both are same.

Tasya [4]2 years ago
3 0
Because they both equal the same sum
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The approximate molar concentration of several chemicals are given. Find the pH of each use the calculator and round to the near
svet-max [94.6K]

Explanation:

Formula to calculate pH of a chemical or solution is as follows.

                    pH = -log [H^{+}]

Therefore, calculate the pH of given chemicals as follows.

1). Oven cleaner

              pH = -log [H^{+}]

                    = -log [10^{-13}]

                    =  13

2). Water

               pH = -log [H^{+}]

                     = -log [7 \times 10^{-7}]

                     = 6.15

3). Blood

               pH = -log [H^{+}]    

                     = -log [4 \times 10^{-8}]

                     = 7.40

4). Vinegar

                pH = -log [H^{+}]    

                      = -log [63 \times 10^{-4}]

                      = 2.20          

3 0
2 years ago
Read 2 more answers
The truth table represents statements p, q, and r. p q r p ∧ q p ∧ r A T T T T T B T T F T F C T F T F T D T F F F F E F T T F F
maksim [4K]

The table shows the results of (p ^ q) and results of  (p ^ r) for all possible outcomes. We have to tell which of the outcomes of union of both these events will always be true.

(p ^ q) V (p ^ r) means Union of (p ^ q) and (p ^ r). The property of Union of two sets/events is that it will be true if either one of the event or both the events are true i.e. there must be atleast one True(T) to make the Union of two sets to be True. 

So, (p ^ q) V (p ^ r)  will be TRUE, if either one of  (p ^ q) and (p ^ r)  or both are true. From the given table we can see that only the outcomes A, B and C will result is TRUE. The rest of the outcomes will all result in FALSE.

Therefore, the answer to this question is option 2nd

5 0
2 years ago
Evan went to the park and saw for animals each animal was either a duck or dog if he saw a total of 14 legs how many of each ani
beks73 [17]

Answer:

Two dogs and three ducks

Step-by-step explanation:

Dogs have four legs and ducks have two, to find the answer, you add the number to get your answer.

In this case, two dogs would make a total of 8 legs and three ducks would make a total of 6 legs. Adding 8 and 6 together, you get 14.


7 0
2 years ago
Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?
SCORPION-xisa [38]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Which point on the y-axis lies on the line that passes through point C and is perpendicular to line AB?

A. (-6, 0)

B. (0, -6)

C. (0, 2)

D. (2, 0)

The graph of the question is attached.

Answer:

The point is (x, y) = (0, 2)

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

Step-by-step explanation:

From the given graph, the points A and B are

(x_1, y_1) = (-2, 4) \\\\(x_2, y_2) = (2,-8) \\\\

The slope of the equation is given by

m_1 = \frac{-8 - 4 }{2 -(-2)} \\\\ m_1 = \frac{-12 }{2+2} \\\\m_1 = \frac{-12 }{4} \\\\m_1 = -3 \\\\

We know that the slopes of two perpendicular lines are negative reciprocals of each other.

m_2 = - \frac{1}{m_1}

So the slope of the other line is

m_2 = \frac{1 }{3} \\\\

Now we can find the equation of the line that is perpendicular to the line AB and passes through the point C.

From the graph, the coordinates of point C are

(x_1, y_1) = (6, 4)

The point-slope form is given by,

y - y_1 = m(x -x_1)

Substitute the value of slope and the coordinates of point C

y - 4 = \frac{1 }{3} (x - 6)\\\\

To get the y-intercept, substitute x = 0  

y - 4 = \frac{1 }{3} (0 - 6) \\\\y - 4 = \frac{-6 }{3}\\\\y - 4 = -2\\\\y = 4 -2 \\\\y = 2 \\\\

So, the point is

(x, y) = (0, 2)

The correct option is C.

Therefore, the point (0, 2) on the y-axis lies on the line that passes through point C and is perpendicular to line AB.

6 0
2 years ago
Tickets to a school dance are sold for $10 each. The student council spent a total of $400 on set-up costs for the dance. The sc
svlad2 [7]

Answer:

P(t) = 10t - 400

Step-by-step explanation:

Selling price of each ticket = $10

Cost of setting up the dance= $400

Profit = Revenue - cost

Revenue = price × quantity

Revenue that will maximize profit = 10t

where t= quantity of tickets that maximises profits

Cost = $400

Profit(t) = Revenue - cost

P(t)= 10t - 400

8 0
2 years ago
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