Lesson 6: geometry A unit 3: reasoning and proof

Answers

Answer 1

Answer:

Answer:

1. One way to show that a statement is not a good definition is to find a counterexample. A counterexample refers to an exception to the rule, if we deduct that exception is true, then the proposition is completely false. In this case, we have to find an exception to the definition, if the exception is true, then the definition is not true.

2. The option that show a true conditional is the fourth: If it's raining, then the humidity level is 100%. This shows the correct logical conditional, other options are not logical. In this case, the hypothesis is "if it's raining", and the conclusion is "the humidity is 100%". This is the right order, because humidity derive from raining, not the opposite.

Answer 2

Answer:

The true conditional with a correctly identified hypothesis is:

If it is raining, then the humidity level is 100%.

Hypothesis: It is raining.

Conclusion: The humidity level is 100%.

1. One way to show that a statement isn't a good description is to find a counterexample.

A counterexample refers to an exception to the rule, if we abate that exception is true, also the proposition is fully false. In this case, we've to find an exception to the description, if the exception is true, also the description isn't true.

2. The option that show a true tentative is the fourth If it's raining, also the moisture position is 100.

This shows the correct logical tentative, other options aren't logical. In this case, the thesis is" if it's raining", and the conclusion is" the moisture is 100". This is the right order, because moisture decide from raining, not the contrary.

Learn more about Hypothesis here:

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Rewrite in simplest radical form x^5/6 x^1/6 . Show each step of your process.

I need help pls asap

Answers

Answer:

54 m^3

Step-by-step explanation:

volume of cone is (1/3)(pi)(r^2)h

volume of cylinder is (pi)(r^2)h

if height and base are same, then the volume of the cylinder will be three times that of the cone.

18 x 3 = 54

Celine has a bottle that contains 20% milk and the rest water. The bottle has 1 liter of water. Part a: write an equation using one variable that can be used to find the total number of liters of milk and water in the bottle. Define the variable used in the equation. Hint: 0.2x represents the number of liters of milk in the bottle. (5 points) part b: how many liters of milk are present in the bottle? Show your work. (5 points)

Answers

The given condition is- A bottle contains 20% milk and the rest water. The bottle has 1 liter of water.

Part A:

Let the amount of mixture in the bottle be = x ; mixture will be amount of water plus milk

Given is- the bottle has 1 liter of water and 20% is milk. 20% is 0.2

Hence equation will be:

$0.2x+1 =x$

Part B:

Solving the equation

$x-0.2x=1$

$0.8x=1$

$x=(1)/(0.8)$ = 1.25

Hence, total mixture is 1.25 liters.

Water is 1 liter so milk will be = $1.25-1=0.25$

Or it can also be solved using milk percentage of 0.2%

$0.2*1.25=0.25$

Hence, milk is 0.25 liter

Find the product of 3a+5 and 2a^(2)+4a-2

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The answer is 6a3+22a2+14a−10
My steps:
(3a+5)(2a^2+4a−2)=(3a+5)(2a^2+4a+−2)=(3a)(2a^2)+(3a)(4a)+(3a)(−2)+(5)(2a^2)+(5)(4a)+(5)(−2)=6a^3+12a^2−6a+10a^2+20a−10=6a^3+22a^2+14a−10

Simplify the expressions. Show your work.
(x+6^2)

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(x+6*6)
x+36

Or
$(x+6)^(2)$
= $x^(2) +12x+36$

6^x+8=17^2x-2 can I have help

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$6^(x+8)=17^(2x-2)\ \ \ \ \ \ |both\ sides\ log_6\n\nlog_66^(x+8)=log_617^(2x-2)\n\nx+8=(2x-2)log_617\n\nx+8=2xlog_617-2log_617\n\nx-2xlog_617=-2log_617-8\n\nx(1-2log_617)=-2log_617-8\ \ \ \ |divide\ both\ sides\ by\ (1-2log_617)\n\nx=(-2log_617-8)/(1-2log_617)\n\nx=(-(log_617^2+8))/(-(log_617^2-1))\n\nx=(log_6289+8)/(log_6289-1)$

can anyone solve 4x^2 + 12x - 40 ? you would have to find what multiplies to get -40 but adds to get 12, but you do something with th 4x^2 as well

Answers

There's really nothing to solve, since there's no equation there.
Perhaps you want that expression factored. We can do that.

First, all 3 terms share a common factor of 4. Let's pull that out,
and see what's left to be factored:

4x² + 12x - 40 = 4 (x² + 3x - 10) .

Now, the expression left inside the parentheses looks
like it might be a lot easier to handle.

Here's what the whole expression looks like after the
quadratic inside the parentheses is factored:

4 (x² + 3x - 10) = 4 (x + 5) (x - 2) .

There it is. Understand ... we haven't changed anything,
and we haven't solved anything. We only wrote the original
expression in a different form. It's still just an expression that
stands for a number, and we won't know the number until
somebody tells us the value of 'x' .