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Alla [95]
3 years ago
6

What is the truth value for the following conditional statement? p: false q: true ∼q → ∼p

Mathematics
2 answers:
Leno4ka [110]3 years ago
7 0

Answer:

p false

Step-by-step explanation:

Artyom0805 [142]3 years ago
4 0

Answer:

Truth value of ~p → ~q will be False.

Step-by-step explanation:

If the truth value of conditional statement p is false then the truth value of

~p will be True

If the truth value of other statement q is True then the truth value of ~q will be False

We know truth value of the implication of two conditional statements a → b is False only when a is true and b is false.

Therefore, ~p → ~q will be False.

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I NEED HELP! Write an equation in standard form of the line
nadezda [96]

Answers:

  • First box = 1
  • Second box = -5
  • Third box = -15

This forms the equation 1x-5y = -15, which is the same as x-5y = -15

=================================================================

Explanation:

Let's find the slope. I'll pick the first two rows to form the two points needed

(x1,y1) = (0,3)

(x2,y2) = (10,5)

These are then plugged into the slope formula.

m = slope

m = (y2-y1)/(x2-x1)

m = (5-3)/(10-0)

m = 2/10

m = 1/5

m = 0.2

The y intercept is b = 3 since this is the y value when x = 0.

With m = 0.2 and b = 3, we go from y = mx+b to y = 0.2x+3

Let's multiply both sides by 5 to turn that decimal value into a whole number. I'm picking 5 since 0.2 = 1/5

So we get

y = 0.2x+3

5y = 5*(0.2x+3)

5y = 5*0.2x+5*3

5y = x+15

Now let's get x and y together, but move that 15 to its own side

5y = x+15

x+15 = 5y

x = 5y-15

x-5y = -15

This is one way to write the equation in standard form.

Standard form is Ax+By = C, where A,B,C are integers. Some math textbooks insist that A > 0. In this case, A = 1, B = -5, and C = -15.

----------------------

As a way to check, we can plug in (x,y) = (15,6) from the third row of the table to see that..

x-5y = -15

15-5(6) = -15

15 - 30 = -15

-15 = -15

This verifies the third row. I'll let you check the first two rows of the table to fully confirm this equation works.

8 0
2 years ago
If you have one ace what is the probability that you have a second ace
Basile [38]
The way your question is worded, the probability is zero. One ace is not two aces.
5 0
3 years ago
Does the equation y = 99x show a proportional relationship between x and​ y?
Naily [24]
Yes because it shows that y is proprtional equal to 99 times x. so whenever you need to work out y, you get x and times it by 99.
5 0
3 years ago
Graph x=−0.5. what would this look like on a graph
emmainna [20.7K]

It looks like a vertical line that intersects the x-axis at x=-0.5.

It's on the left side of the y-axis.

3 0
3 years ago
Read 2 more answers
A community swimming pool is a rectangular prism that is 30 feet long, 12 feet wide, and 5 feet deep. The wading pool is half as
topjm [15]

Answer:

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.

Step-by-step explanation:

By definition of rectangular prism, we get the respective formulas for the volumes of the community swimming pool and the wadling pool, respectively:

Community swimming pool

V_{c} = l\cdot w\cdot h (1)

Wading pool

V_{w} = \left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w (2)

Where:

l – Length of the swimming pool, measured in feet.

h – Depth of the swimming pool, measured in feet.

w – Width of the swimming pool, measured in feet.

V_{c} – Volume of the community swimming pool, measured in cubic feet.

V_{w} – Volume of the wading swimming pool, measured in cubic feet.

The ratio of the volume of the community swimming pool to the volume of the wadling pool is:

\frac{V_{c}}{V_{w}} = \frac{l\cdot w \cdot h}{\left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w} (3)

\frac{V_{c}}{V_{w}} = \frac{1}{\frac{1}{4} }

\frac{V_{c}}{V_{w}} = 4

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.

8 0
2 years ago
Read 2 more answers
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