Answer:
a) 
b) 
c) 
Explanation -
a) 2/3 p + 10 = r
Value of r = 22 (given)
2/3 p + 10 = 22
2/3 p = 22- 10
2/3 p = 12
p = 12 × 3 /2
p = 6 × 3
<em><u>p</u></em><em><u>=</u></em><em><u>1</u></em><em><u>8</u></em><em><u> </u></em>
b) (-17) + 5k = t
value of k = 4 (given)
(-17) +5 (4) = t
(-17) + 20 = t
<em><u>3</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>t</u></em><em><u> </u></em>
c) 0 = 5p - 3b
b= 2 (given)
0 = 5p - 3(2)
0 = 5p - 6
6 = 5p
<em><u>6</u></em><em><u>/</u></em><em><u>5</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>p</u></em>
Answer:
x = 120°
y = 60°
Step-by-step explanation:
✔️since, lines l and m, area parallel, therefore,
x = 120° (they are corresponding angles having matching corners. Thus, corresponding angles are congruent to each other)
✔️x + y = 180° (linear pair angles)
Plug in the value of x
120 + y = 180
Subtract 120 from each side of the equation
y = 180 - 120
y = 60°
21 is a composite number and the closest number to 20
Answer:
x=1 and x=-4
Step-by-step explanation:
Put it into your calculator, go to graph and look at which points it says ERROR.
Answer:
Step-by-step explanation:
a_1 = 15
a_2 = a_1 - 3
a_2 = 15 - 3
a_2 = 12
a_3 = a_2 - 3
a_3 = 12 - 3
a_3 = 9
a_4 = a_3 - 3
a_4 = 9 - 3
a_4 = 6
a_5 = 3
a_6 = 0 I'm leaving these last two to expand
a_n = a1 - (n - 1)*d
a_n = 15 - (n - 1)*3
a_n = 15 - 3n + 3
a_n = 18 - 3n
Example
a_6 = 18 - 3*6
a_6 = 0
Problem B
t(1) = 108
t(1 + 1) = 1/3 * 108
t(2) = 36
t(3) = 1/3 * t2
t(3) = 1/3 * 36
t(3) = 12
t(4) =1/3 (t(3))
t(4) = 1/3 * 12
t(4) = 4
t(5) = t4 / 3
t(5) = 4 / 3
t(5) = 1.3333333
So the explicit definition is
t(n) = 108 (1/3)^(n - 1) You could simplify this a little bit by realizing that 108 is made of three 3s.
t(n) = 4 * 3^3 * (1/3)^(n - 1)
t(n) = 4 * (1/3) ^ (n - 4)
Example
t(5) = 108 (1/3)^4
t(5) = 108(1/81)
t(5) = 1.3333333
And using the simplified formula, you get.
t(5) = 4 * (1/3)^1
t(5) = 1.333333 which is the same thing as the original result.