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11111nata11111 [884]
3 years ago
10

Find the 18th term of the arithmetic sequence whose common difference is d = 2 and whose first term is a, =5.

Mathematics
1 answer:
ikadub [295]3 years ago
7 0

Answer:

a=5

d=2

then t18=?

now we khow that

t18=a+(n-1)d

= 5+(18-1)2

= 5+17×2

=5+34

=39ans

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Given that f(x) = 5x2 − 100 = 0, find x
deff fn [24]
Answer:
The answer is x=2i√5,−2i√5
4 0
2 years ago
A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed
Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

s = \frac{d}{t}

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that s = 77.8

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for  the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

d = 89.5t1 + 0 = 89.5t1

The total time is the time traveling t and the stoppage time 0.37. So

t = t1 + 0.37

We want to find t1, which is the time that the person was driving.

So

s = \frac{d}{t}

77.8 = \frac{89.5t1}{t1 + 0.37}

77.8t1 + 77.8*0.37 = 89.5t1

11.7t1 = 28.786

t1 = \frac{28.786}{11.7}

t1 = 2.46

The total time is

t = t1 + 0.37 = 2.46 + 0.37 = 2.83

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

s = \frac{d}{t}

77.8 = \frac{d}{2.83}

d = 77.8*2.83 = 220.17

The person travels 220.17 kilometers.

8 0
3 years ago
What is this expression in factored form?<br> x^2+13x+42
Allushta [10]

Answer and explanation:

x^{2} + 13x + 42

(x + 6)(x + 7)

List the multiples of 42

42: 1  2  3  6  7  14  21  42

Then see which of the multiples add up to 13

1 x 42 = 42 --> 1 + 42 \neq 13

2 x 21 = 42 --> 2 + 21 \neq 13

3 x 14 = 42 --> 3 + 14 \neq 13

6 x 7 = 42 --> 6 + 7 = 13

4 0
3 years ago
Quiz! Help!
Evgen [1.6K]

Answer:

$10.50/1.25 = $10.20

Step-by-step explanation:

hope this helps

5 0
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Hazel saves $5.75 each week how much does she save in 2 weeks
Inessa [10]
Your answer would be $11.50 I hope this helps you out! :)
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3 years ago
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