Explain why the absolute value of a number is never negative.

Define the following propositions: .p: You drive over 65 miles per hour q You get a speeding ticket Translate the following Engl

sveticcg [70]

Answer:

a.p→¬q

b.¬p→¬q

c.q→¬p

Step-by-step explanation:

p:You drive over 65 miles per hour

¬p: You do not drive over 65 miles per hour

q:You get a speeding ticket

¬q:You do not get a speeding ticket

(a) You drive over 65 miles per hour, but you do not get a speeding ticket

the first sentence is p and because the consequence is the opposite of q then is no q

p→¬q

(b) If you do not drive over 65 miles per hour, then you will not get a speeding ticket

The first sentence is the opposite of p (¬p), and the second sentence is the opposite of q

¬p→¬q

(c) You get a speeding ticket, but you did not drive over 65 miles per hour.

The first one is q, and the second one is the opposite of p so

q→¬p

5 0

3 years ago

What is the slope of the line?

riadik2000 [5.3K]

Answer:

The slope of the line must be 3

Step-by-step explanation:

The picture of the question in the attached figure

step 1

we know that

The volume of a rectangular prism is equal to

$V_r_p=Bh$ ----> equation A

where

B is the area of the base of the prism

h is the height of the rectangular prism

step 2

The volume of a square pyramid is equal to

$V_s_p=\frac{1}{3}Bh$ -----> equation B

where

B is the area of the square base of pyramid

h is the height of the pyramid

step 3

substitute equation A in equation B

$V_s_p=\frac{1}{3}V_r_p$

Find the relationship between the volume of a rectangular prism and the volume of a square pyramid

$\frac{V_r_p}{V_s_p}=3$

therefore

The slope of the line must be 3

let's check it

To solve for the slope of the line, you must choose two coordinates first and use the formula

$m=\frac{y2-y1}{x2-x1}$

Choosing the points (2,6) and (3,9)

substitute

$m=\frac{9-6}{3-2}=3$ ----> is correct

8 0

3 years ago

PLEASE HELP ME!!! Ryan worked at a store for 3.5 days. He was paid $53.30 per day. He spent $24.75 to buy a gift for his mother.

Nadusha1986 [10]

Answer: 161.8

Step-by-step explanation:

6 0

2 years ago

Can u guys make a story with this graph good luck this is velocity

enot [183]

Yeahh I could do it

8 0

2 years ago

How many numbers greater than 90 and less than 100 are prime numbers?

Oksanka [162]

Answer:

97

Step-by-step explanation:

Only 97 is prime between 90-100

4 0

3 years ago