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Wittaler [7]
3 years ago
14

Select from the drop - down menus to correctly complete each statement

Mathematics
1 answer:
Stels [109]3 years ago
5 0

In a flowchart proof, <u>statements</u> and <u>conclusions</u> are connected with arrows.

In terms of mathematics, a statement is simply any sentence in which it can be verifiably true or false. A statement cannot be a subjective opinion. It must be an objective fact and there must not be any ambiguity involved. A conclusion is also a statement that derives from the first statement made.

As an example, you can have the simple argument "if it rains, then it gets wet outside". So the box on the left would be "it rains" and the box on the right would be "it gets wet outside". An arrow connecting the two shows the logical flow of how the argument is set up.

See the diagram below.

Side note: the box on the left is also considered the antecedent because it comes before the conclusion.

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In Europe, gasoline efficiency is measured in km/L. If your car's gas mileage is 31.0mi/gal , how many liters of gasoline would
maw [93]
We need to convert the mileage from mi/gal units into to km/L units using the conversion factors.

(31.0 mi/gal) x (1 km / 0.6214 mi) x (1 gal / 3.78 L) = 13.20 km/L

Next, we divide the distance by the mileage. 
(142 km) / (13.20 km/L) = 10.79 L

<span>Therefore, you need 10.79 liters of gasoline.</span>
7 0
3 years ago
Read 2 more answers
The probability that the card drawn from a standard 52-card deck is queen is​
Fed [463]

There are 4 queens in a deck of cards.

You have 4 chances out of 52 total cards to get a queen.

The probability is 4 queens / 52 cards = 4/52, which can be reduced to 1/13

6 0
3 years ago
Which are partial products for 68 × 43?
blagie [28]

Partial products are the products obtained during the intermediate stages in order to complete a multiplication process.

Consider 68 \times 43, we have to determine the partial products in this.

Now, 68 \times 43

Expanding this, we get

(60+8) \times (40+3)

= (60\times 40) +(60 \times 3) + (8 \times 40) + (8 \times 3)

= 2400 + 180 + 320 + 24

= 2924

Hence, 8 \times 40=320 and 8 \times 3 = 24 are the required partial products in the product of 68 and 43.

So, Option 3 and 4 are the correct answers.

3 0
3 years ago
Explain how to find (f^-1)’(b), given that b=f(a).
Ganezh [65]

Answer:

(f⁻¹)'(b) = 1/f'(f⁻¹(b)) = 1/f'(a)

Step-by-step explanation:

The function f⁻¹(x) is the reflection of the function f(x) across the line y=x. Every point (a, b) that is on the graph of f(x) is reflected to be a point (b, a) on the graph of f⁻¹(x).

Any line with slope m reflected across the line y=x will have slope 1/m. (x and y are interchanged, so m=∆y/∆x becomes ∆x/∆y=1/m) Since f'(x) is the slope of the tangent line at (x, f(x)), 1/f'(x) will be the slope of the tangent line at (f(x), x).

Replacing x with f⁻¹(x) in the above relation, you get ...

... (f⁻¹)'(x) = 1/f'(f⁻¹(x)) will be the slope at (x, f⁻¹(x))

Putting your given values in this relation, you get

... (f⁻¹)'(b) = 1/f'(f⁻¹(b)) = 1/f'(a)

7 0
3 years ago
Axel follows these steps to divide 40 by 9: Start with 40. 1. Divide by 9 and write down the remainder. 2. Write a zero after th
yarga [219]
4 r4
9⬜️40
-36
——
4
“Divide 40 by 9” means 40÷9
Axel did 9÷40


9 goes outside the dog house (⬜️)
9 can’t go into 4 so move to the next number
9 goes into 40 4 times.
9 times 4 equals 36
40 minus 36 equals 4
There are no other numbers under the house can’t go into four and 9 can’t go into 4. That means there is a remained of four.
7 0
3 years ago
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