Answer:
b=2/3
Step-by-step explanation:
The table is given as:
The exponential function is given in the form
where a is the initial value and b is the multiplicative rate of change
When x=1, y=9, we have:
When x=3, y=4, we have:
Dividing the two equations:
The multiplicative rate of change, b is 2/3.
Answer:
648
Step-by-step explanation:
(25 - 9 + 2)^2 / 3x6
= 108 x 6
= 608
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Not sure how to do it in this form but in slope intercept form for example if the slope was -4/3 the perpendicular would be 3/4 it’s the negative reciprocal of the answer
1. <span>Set up the long division.
</span>
<span>245/7</span>
2. <span>Calculate 700 ÷ 245, which is 2 with a remainder of 210.
</span>
<span><span>0.02</span><span>245/7.</span><span>4.90</span><span>2.10</span></span>
3. <span>Bring down 0, so that 2100 is large enough to be divided by 245.
</span>
<span><span>0.02</span><span>245|/.</span><span>4.90</span><span>2.100</span></span>
4. <span>Calculate 2100 ÷ 245, which is 8 with a remainder of 140.
</span>
<span><span>0.028</span><span>245|/.</span><span>4.90</span><span>2.100</span><span>1.960</span><span>140</span></span>
5. <span>Bring down 0, so that 1400 is large enough to be divided by 245.
</span>
<span><span>0.028</span><span>245/7.</span><span>4.90</span><span>2.100</span><span>1.960</span><span>1400</span></span>
6. <span>Calculate 1400 ÷ 245, which is 5 with a remainder of 175.
</span>
<span><span>0.0285</span><span>245|7.</span><span>4.90</span><span>2.100</span><span>1.960</span><span>1400</span><span>1225</span><span>175</span></span>
7. <span>Therefore, 7 divided by 245 approximately equals 0.0285
</span><span><span>7÷245≈0.0285</span></span>
8. <span>Simplify
</span><span><span><span>0.0285 <------------- Answer :) </span></span>
</span>
Answer: The required fourth term of the geometric sequence is 
Step-by-step explanation: We are given to find the value of the fourth term in a geometric sequence with first term and common ratio as follows :
We know that
the n-th term of a geometric sequence with first term a1 and common ratio r given by
Therefore, the fourth term of the given geometric sequence will be
Thus, the required fourth term of the geometric sequence is
