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MAVERICK [17]
3 years ago
11

Read the proposition and the implication shown below. "If the lights are off, there is no one inside." Which statement is a cont

rapositive to the proposition and logically equivalent to it?
Mathematics
1 answer:
charle [14.2K]3 years ago
4 0
The contrapositive switches the hypothesis and the conclusion and negates both in this form:
Statement: If A, then B
Contrapositive: If not B, then not A. 

In this case, the statement is: 
<span> "If the lights are off, there is no one inside."
Contrapositive:
If there is someone inside, the lights are on. </span>
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The statement​ the sum of x and 7​% of x is at least 30​"
tigry1 [53]

Answer:

  x + 0.07x ≥ 30

Step-by-step explanation:

A sum is terms separated by a plus sign.

"Is at least" means "is greater than or equal to."

7% as a decimal fraction is 0.07.

"Of" means "times."

__

In consideration of the above, you have ...

  x  plus  7% of x  is at least  30

  x  +  0.07x  ≥  30 . . . . . using math symbols

5 0
3 years ago
Please help I need to turn this in
sesenic [268]
Can’t see the pictures
5 0
3 years ago
5: Answer the questions completely: Jordan has a new puppy. She wants to put a fence around part of her yard to cover an area of
irga5000 [103]

Given that Jordan has a new puppy and she wants to put a fence around part of her yard to cover an area of 200 square feet.

Now we have to find what dimensions (length x width) should she make the rectangular area. None of the length or width are given so there can be lots of answers.

Since area is rectangular and we know that rectangle has different value of length and width so we just need to find two factors of given area 200 square feet.

For example 20 times 10 is 200.


So the dimension of the rectangular area will be:

Length = 20 feet and width = 10 feet


Now perimeter of the rectangle is given by formula:

Perimeter = 2(length+width) = 2(20+10)=2(30)=60


Hence perimeter is 60 feet.


8 0
3 years ago
A water trough is
olganol [36]
Your wording is a little strange. can you show it so it is complete sentences? then I can help you!
6 0
3 years ago
Read 2 more answers
Please help solve this question been stuck for a while​
damaskus [11]

Answer:

7.7

Step-by-step explanation:

To find the intersection points of the line and the circle we have to set up a system with their equations and solve. The system would look like this:

\left \{ {{x=1              } \atop {x^2+y^2=16}} \right.

To solve, substitute 1 for x in the second equation to get:

1^2+y^2=16

Solving, we get:

y=\sqrt{15}, y=-\sqrt{15}

Therefore, the two points of intersection are (1,\sqrt{15} ) and (1,-\sqrt{15}). The distance between these two points (the length of the chord in the circle) is 2\sqrt{15} which is 7.745966692414... which is 7.7 rounded to the nearest tenth.

Hope this helps :)

6 0
2 years ago
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