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Neporo4naja [7]
3 years ago
5

1/5 ( 3x + 1/2 ) expand the following expression

Mathematics
2 answers:
-BARSIC- [3]3 years ago
8 0

Answer:

(1/5 * 3x) + (1/5 * 1/2)

Step-by-step explanation:

This * is multiply and this property is distribution

DENIUS [597]3 years ago
7 0

Answer:

3/5 x + 1/10

Step-by-step explanation:

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Write a conditional statement. Write the converse, inverse, and contrapositive for your statement and determine the truth value
MrRa [10]

Conditional statement is a statement with a hypotesis and a conclusion:

If \text{ \underline{ hypothesis } } p, then \text{ \underline { conclusion }  } q

or mathematically p\rightarrow q.

Converse statement of p\rightarrow q is statement q\rightarrow p.

If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse:

\neg p\rightarrow \neg q.

Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive:

\neg q\rightarrow \neg p.

Example:

1. Conditional statement: If I am sleeping, then I have closed eyes. (true)

2. Converse statement: If I have closed eyes, then I'm sleeping. (not necessarily true)

3. Inverse statement: If I'm not sleeping, then I haven't closed eyes. (not necessarily true)

4. Contrapositive statement: If I haven't closed eyes, then I'm not sleeping. (true)

3 0
3 years ago
What’s the answer to this math question???
tia_tia [17]
43 is my Answer
your welcome
3 0
3 years ago
Read 2 more answers
The acceleration y, in meters per second squared, of an object after x seconds is given by y = 7 sin (pi/4 x). During the first
Nataly_w [17]

Answer: (0, 2) and (6, 10)

Step-by-step explanation:

The acceleration is:

y = 7*sin( x*pi/4).

Over which interval is the acceleration increasing?

First, let's study the sin function:

Sin(θ) increases between -pi/2 and pi/2

Sin(θ) decreases between pi/2 and (3/2)*pi.

And so on.

Here we have:

θ = x*(pi/2)

When x = 0, θ = 0.

And sin(θ) is increasing in θ = 0.

Then we must choose one of the options that start with x = 0.

now it will stop increasing when:

θ = pi/2 = x*(pi/4)

     x = 2.

So the acceleration is increasing in the segment (0,2)

And it will start increase again when:

θ = (3/2)*pi = x*(pi/4)

     (3/2)*pi*(4/pi) = 6 = x.

So at x= 6 the acceleration starts increasing again, and the acceleration is only deffined until x = 10, then

the correct option is: (0, 2) and (6, 10)

     

6 0
3 years ago
kala used 12.86 gallons of fuel while driving now 1.6 gallons are left how much fuel did kala car have before her trip
Troyanec [42]
Her car had 14.46 gallons of fuel before her trip because 12.86+1.6=14.46
8 0
3 years ago
An electrician disconnected 5 wires of different colors from their respective connections and forgot the order in which they wer
Inessa05 [86]

Answer:

120 tries

Step-by-step explanation:

You can try 5 different wires in the first connection.

Then you have 4 wires left, so you try 4 wires in the second connection. Remember, you are now trying 4 wires for each of the first 5, so up to here you already made 4 * 5 tries = 20 tries.

Next you try 3, then 2, then you have 1 left.

Number of tries: 5 * 4 * 3 * 2 * 1 = 120

Answer: 120 tries

8 0
3 years ago
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