Answer:
1) 36
b) 5
c) 3.0
Step-by-step explanation:
1) The recursive formula that defines the given sequence is
That means we keep adding 4 to the subsequent terms:
The sequence will be:
12,16,20,24,28,32,36,...
Therefore the seventh term is 36.
2) The sequence is recursively defined by;
This means, we have to keep subtracting 5 from the subsequent terms.
The sequence will be;
20,15,10,5,...
Therefore the fourth term is 5
3) The sequence is recursively defined by:
f(n+1)=f(n)+0.5
where f(1)=-1.5
This means that, the subsequent terms can be found by adding 0.5 to the previous terms.
The sequence will be:
-1.5,-1.0,-0.5,0,0.5,1,1.5,2.0,2.5,3.0,....
Therefore f(10)=3.0
Answer:
Step-by-step explanation:
Let the two consecutive numbers be 2n and 2n+2
The sum of these numbers in 2n + (2n+2).
Hence
2n + (2n+2) = 34
4n + 2 = 34
4n = 32
n =8.
Answer: 9.19 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is the height of the top of the ladder above the ground.
Replacing with the values given:
Sin 45 = x/ 13
Solving for x
sin45 (13) =x
x= 9.19 ft
Feel free to ask for more if needed or if you did not understand something.
The speed is the distance covered by an object at a particular time. The distance that is covered by the vehicle is 3,391 miles.
<h3>What is speed?</h3>
The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance / Time
Given that the journey took 9 days. Therefore, the time in hours will be equal to,
Time = 24 hours/day × Number of days
= 24× 9
= 216 hours
Also, given that the speed of the vehicle is 15.7 miles per hour, the number of hours for which it travels is 216 hours.
Distance = Speed × Time
= 15.7 miles/hour × 216 hours
= 3,391.2 miles
Hence, the distance that is covered by the vehicle is 3,391 miles.
Learn more about Speed here:
brainly.com/question/15100898
#SPJ2
Answer:
2/45
Step-by-step explanation:
Note this selection is done without replacement hence after each selection sample size will reduce
Given data
Samples 3 chocolate chip bars,
2 peanut butter bars,
1 lemon bar, and
4 raisin bars
Sample size S= [3+2+1+4]= 10
Probability that first selection is lemon = 1/10
Probability that second selection is raisin = 4/9
Hence the probability that the first bar Iesha selects will be lemon and the second will be raisin= 1/10*4/9
= 4/90= 2/45
