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2 years ago

A(n) _____ is a statement that you conclude to be true based on logical reasoning. argument proof conclusion conjecture

Mathematics

1 answer:

koban [17]2 years ago

8 0

Answer: conjecture

Step-by-step explanation:

A conjecture is a statement or an opinion based on logical reasoning or trivial facts that are always true. It does not require any proof.

Thus, A conjecture is a statement that you conclude to be true based on logical reasoning.

Note:

Conclusion = Result made after a generalized study.
Argument = A series of reasons that leads to a conclusion.
proof = An argument that uses written justification in the form of definitions, properties, postulates, and previously proved theorems.

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12.21 is 3.7 times the number p.

ASHA 777 [7]

P3.7 = 12.21 (p × 3.7 = 12.21)

p÷3.7 = 12.21÷3.7 (p÷3.7 cancels out p×3.7 and leaves you left with the equation p = 12.21÷3.7)

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3 years ago

I got disconnected from my tutor, can't reconnect. need an explanation

kherson [118]

The absolute value function |x| always returns a non-negative number. It takes any number x and returns x if it's already non-negative, or -x if it is negative in order to make it positive.

$|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x$

For the equation

-3 + 4 |2x - 5| = 14

rearrange terms to get

|2x - 5| = 17/4

Now,

• if 2x - 5 ≥ 0, then |2x - 5| = 2x - 5. Then

2x - 5 = 17/4

• and if instead 2x - 5 < 0, then |2x - 5| = -(2x - 5), so that

-(2x - 5) = 17/4, or

2x - 5 = -17/4

In the first case,

2x - 5 = 17/4

2x = 17/4 + 5 = 37/4

x = 37/8

In the second case,

2x - 5 = -17/4

2x = -17/4 + 5 = 3/4

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2 years ago

A man standing on level ground is 1000 feet away from the base of a 350-foot-tall building. Find,

CaHeK987 [17]

If you sketch the man and the building on paper, you'll have a
right triangle. The right angle is the point where the wall of
the building meets the ground. The height of the building
is one leg of the triangle, the line on the ground from the
building to the man's feet is the other leg, and the line
from his feet to the top of the building is the hypotenuse.

We need to find the angle at his feet, between the hypotenuse
and the leg of the triangle.

Well, the side opposite the angle is the height of the building -- 350ft,
and the side adjacent to the angle is the distance from him to the
building -- 1,000 ft.

The tangent of the angle is (opposite) / (adjacent)

= (350 ft) / (1,000 ft) = 0.350 .

To find the angle, use a book, a slide rule, a Curta, or a calculator
to find the angle whose tangent is 0.350 .

tan⁻¹(0.350) = 19.29° . (rounded)

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3 years ago

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poizon [28]

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3 years ago

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frosja888 [35]

the answer should be -4

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3 years ago