Answer:
Explanation:
The number of emails is multiplied by <em>4</em> every <em>9.1 weeks.</em>
Thus, since <em>Tobias initially sent the chain letter to 37 friends</em>, the number of letters will grow as per this geometric series:
Start: 37 letters
- In 2 × 9.1 weeks: 37 × (4)²
- In 3 × 9.1 weeks: 37 × (4)³
As you see, the exponent is the number of weeks divided by 9.1
Thus, if your variable is the number of weeks, t, then the exponent is t/9.1
And the exponential function, P(t) will be:

Answer:
m∠R = 123°
m∠S = 91°
Step-by-step explanation:
The measure of an inscribed angle is 1/2 the measure of the intercepted arc
m of arc QRS = 2 m∠P = 2(57) = 114
Now m of arc SPQ = 360 - 114 = 246
So, m∠R = 1/2(246) = 123
m of arc RSP = 2 m∠Q = 2(89) = 178
m of arc PQR = 360 - 178 = 182
m∠S = 1/2(182) = 91
Answer:
Weight of parcel to the nearest whole kilogram = 6 kg
Explanation:
Weight of parcel = 12 lbs 8 oz
1lb = 16 oz also we have 1lb = 454 g
Weight of parcel = 12 lbs 8 oz = 12 + (8/16) lbs = 12.5 lbs
Weight of parcel in g = 12.5*454 = 5675 g
Weight of parcel = 5675 g = 5.675 kg
Weight of parcel to the nearest whole kilogram = 6 kg
Answer:
The 12 children selected in Mrs. Smith's kindergarten class.
Step-by-step explanation:
A sample is a representative part of a population on which a research is carried out.
The study In Mrs Smith's class was to find out the number of hours the children in Kindergarten Sleep in a day. Out of the total number of students, 12 were selected for observation. The 12 childen selected is therefore a sample of the class.
Answer:
21
Step-by-step explanation:
Let x = $1 bill
Let y = $5bill
<em>Translating the word problem into an algebraic equation;</em>
<em>For the total number of bills;</em>
.........equation 1
<em>For the total number of tips;</em>
..........equation 2
<em>*Solving the linear equation by using the substitution method*</em>
<em>Making x the subject in equation 1:</em>
.......equation 3
<em>Substituting "x" into equation 2;</em>
<em>Simplifying the equation, we have;</em>


y = 21 (For the $5 bills).
<em>Therefore, Anthony received 21 pieces of the $5 bills.</em>
To find x;
Substituting "y" into equation 3;

x = 26 (For the $1 bill).