Answer:
Step-by-step explanation:
4^3 × 4^n = 4^12
Using indices multiplication rule
4^(3+n) = 4^12
4 cancelled out 4
Therefore: 3 + n = 12
n = 12 - 3
n = 9
Answer:
sum of the first 12 terms of the sequence. 1, -4, -9, -14, . . = -318
Step-by-step explanation:
The given AP is,
1, -4, -9, -14, . . .
first term a = 1,
common difference d = -4 - 1 = -5
number of terms n = 12
<u>Equation:</u>
Sum of n terms of AP, S₁₂ = n/2[2a + (n - 1)d]
S₁₂ = 12/2[(2*1) + (12 - 1)*(-5)]
S₁₂ = 6[2 + (11*(-5))]
S₁₂ = 6[2 - 55] = 6*(-53) = -318
Therefore sum of the first 12 terms of the sequence. 1, -4, -9, -14, . . = -318
<h3><u>
Answer:</u></h3><h3><u>
752 & 617</u></h3><h3 /><h3><u>
Explanation:</u></h3><h3><u>
So if Liz pays $35 each month just to use the phone, we could subtract 35 from the total bill that month to get the the total cost she spent on text messages.</u></h3><h3 /><h3><u>
March:$72.60-$35=$37.60</u></h3><h3><u>
April: $65.85-$35=$30.85</u></h3><h3 /><h3><u>
We can see that in March Liz spent $37.60 on texts in total and in April she spent $30.85 on texts in total. All we have to do is divide the amount of money she spent on texts( $37.60 & $30.85) by the cost of one text message($0.05) to get the amount of texts she sent that month.</u></h3><h3 /><h3><u>
March: $37.60/$0.05=752</u></h3><h3><u>
April: $30.85/$0.05=617</u></h3><h3 /><h3><u>
Therefore, she sent 752 texts in March and 617 texts in April.</u></h3><h3 /><h3><u>
~FrxziteTheLxoser~ I hoped I help you :)</u></h3>
<u>If i helped you please give me brainIIlest!</u>
Answers:
- a) x = 9
- b) arc JK = 68
- c) arc MJ = 112
- d) arc LMK = 248
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Explanation:
Arcs JK and KL form a semicircle, so they add to 180 degrees
(arcJK) + (arcKL) = 180
(5x+23) + (17x-41) = 180
22x-18 = 180
22x = 180+18
22x = 198
x = 198/22
x = 9
Then you'll use this x value to find arc JK and arc KL
arc JK = 5x+23 = 5*9+23 = 68
arc KL = 17x - 41 = 17*9-41 = 112
Since central angles MNJ and KNL are vertical angles, this means minor arcs MJ and KL are congruent arcs. So arc MJ is also 112 degrees
Arc LMK is basically nearly everything of the full circle, but we exclude out the portion from L to K (the shorter distance)
arc LMK = (full circle) - (measure of minor arc LK)
arc LMK = 360 - 112
arc LMK = 248
Answer:
you know you really need to watch what you say that comes out of your mouth
