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Evgen [1.6K]
3 years ago
6

A train travels 190 km in 3.0 hours and then 120 km in 2.0 hours. What is its average speed?

Mathematics
1 answer:
melisa1 [442]3 years ago
3 0
The average speed it 310
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Just please help help help help
ludmilkaskok [199]

Answer:

C.{(-3,10),(-2,5),(1,2),(-2,-4)}

7 0
3 years ago
In a certain year, the average e-mail user sent or received 111 e-mails each day. The number of e-mails received was 3 more than
Ludmilka [50]

Answer:

Number of sent mail = 36

Number of received mail = 75

Step-by-step explanation:

Let,

x be the number of mails sent

y be the number of mails received

According to given statement;

x + y = 111      Eqn 1

y = 2x + 3     Eqn 2

Putting value of y from Eqn 2 in Eqn 1

x + 2x + 3 = 111

3x = 111 - 3

3x = 108

Dividing both sides by 3

\frac{3x}{3}=\frac{108}{3}\\x = 36

Putting x = 36 in Eqn 2

y = 2(36) + 3

y = 72 + 3 = 75

Hence,

Number of sent mail = 36

Number of received mail = 75

7 0
3 years ago
Estimate 1 13 cos(x2) dx 0 using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round your answers to six decimal
babunello [35]

Answer:

(a) 4.152698

(b) 3.215557

Step-by-step explanation:

(a)

\int\limits^{13}_1 {cos(x^2)} \, dx =M_n=$\sum_{n=1}^{\infty} f(m_i)\Delta x $

n=4, so :

Each subinterval has length :

\Delta x= \frac{b-a}{n} =\frac{13-1}{4} =\frac{12}{4} =3

Therefore the subintervals consist of:

[1,5], [5,9], [9,13]

Now, the midpoints of these subintervals are:

\frac{1+5}{2} =3\\\\\frac{5+9}{2} =7\\\\\frac{9+13}{2} =11

Hence:

M_4= 3*(cos(3^2))+3*(cos(7^2))+3*cos((11^2))\approx 4.152698

(b)

\int\limits^{13}_1 {cos(x^2)} \, dx =T_n=\frac{\Delta x}{2} (f(x_o)+2f(x_1)+2f(x_2)+...+2f(x_n_-_1)+f(x_n))

n=4, so :

Each subinterval has length :

\Delta x= \frac{b-a}{n} =\frac{13-1}{4} =\frac{12}{4} =3

Therefore the subintervals consist of:

[1,5], [5,9], [9,13]

The endpoints of the subintervals consist of:

5,9

Hence:

T_4= \frac{3}{2}(cos(1^2)+2*cos(5^2)+2*cos(9^2)+cos(13^2)) \approx 3.215557

8 0
3 years ago
Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Whi
Anna35 [415]
Im going to say the answer is x=3
7 0
4 years ago
Read 2 more answers
Simplify the expression 63 + 5(4 − 2).
AURORKA [14]
68(2)
68 x 2 =
136
Your answer is 136
3 0
4 years ago
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