Answer: Option (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
Explanation:
Given expression:
<em>Step-1: </em>Add the exponents and keep the same base by using 
property.
Step-2: The reciprocal of 
is 
, which is 
Step-3: The exponent of is +1; therefore, change the sign of exponent. The end expression will now become:
Hence, the correct option is (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.
The correct answer is 15:25
Answer:
477.47 revolutions
Step-by-step explanation:
From the information given:
The formula for calculating the circumference = 2π r
Given that the radius of each wheel = 25 centimeter
Then, the circumference = 2 π (25)
= 50π cm
The distance traveled in 5 minutes is as follows:
Given that:
The speed = 45 km/ hour
i.e.
1 hour = 45 km
In an hour, we have 60 minutes
So, 60 minutes = 45 km
1 minute = 45/60 = 0.75 km
To cm;
0.75 km = (0.75 × 1000) m = 750 m
750 m = 750 × 100 = 75,000 cm
∴
The number of revolution in 5 minutes sInce 1 revolution = 50π cm is:
= 75,000 cm/ 50π cm
= 477.47 revolutions in 5 minutes
Answer:
x =7 or x = -4
Step-by-step explanation:
|2x – 3| = 11
There are two solutions to an absolute value equation, one positive and one negative
2x-3 =11 or 2x-3 = -11
Add 3 to each side
2x-3+3 = 11 +3 2x-3+3 = -11+3
2x = 14 2x = -8
Divide each side by 2
2x/2 =14/2 2x/2 = -8/2
x =7 x = -4
