Answer:
Step-by-step explanation:
It is two types of function.
- Exponential Growth: If function increase as value of x increase.
In this case, a>0 and b>1
- Exponential decay: If function decrease as value of x increase.
In this case, a>0 and 0<b<1
We need to choose exponential growth function.
Here a=0.75>0 and b=5>1
Therefore, This function is exponential growth.
Answer:
Step-by-step explanation:
3x + 3 + 3x - 1 = 3x + 8
6x + 2 = 3x + 8
3x + 2 = 8
3x = 6
x = 2
HJ= 3(2) + 8 =6 + 8 = 14
HI= 3(2) - 1 = 6 - 1 = 5
IJ = 3(2) + 3 = 6 + 3 = 9
The correct answer is 60⁰.
Step-by-step explanation:
- An angle whose measure is 60⁰ is rotated more than halfway around a circle.
- Since, we have to find the measure of angle.
- As we already know that the angle of rotation about a circle is 360° therefore we have to find more than halfway of this angle.
- Considering that an angle is rotated more than halfway around a circle be
- Multiplying with 360⁰
- Therefore, it can show as ×360⁰
- Which gives the result to be 60⁰
- Hence, when an angle is measured 60⁰, it is rotating more than halfway around a circle.
- A single rotation around a circle is equal to 360 degrees.
- The measurement of an angle shows the magnitude and direction of the rotation of the angle from its initial position to the final position.
- If the rotation is in a counterclockwise direction, it has an angle with positive measure. If the rotation is clockwise, it has an angle which gives negative measure.
The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
We are given that:
2nd term of geometric progression = 1 / 18
5th term = 4 / 243
Now, we can also write it as:
2nd term = a r ( where r is the common ratio and a is the initial term.)
a r = 1 / 18
5th term = a r⁴
a r⁴ = 4 / 243
Now divide 5th term by 2nd term, we get that:
a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )
r³ = 72 / 243
r³ = 8 / 27
r = ∛ (8 / 27)
r = 2 / 3
3rd term = a r²
a r² = a r × r
= 1 / 18 × 2 / 3
3rd term = 1 / 27
Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
Learn more about geometric progression here:
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Your question was incomplete. Please refer the content below:
The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term
Answer:
21
Step-by-step explanation:
6000lbs x 7 days = 42000lbs
42000lbs / 2000lbs = 21 tons
