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4 years ago

HELPPP ASAPPPPP!!!!!! PLEASE :(

Mathematics

1 answer:

goldfiish [28.3K]4 years ago

5 0

Step-by-step explanation:

A bar graph serves to visibly represent the frequency of a series of events.

To create a bar graph you can draw on the horizontal axis, each one of the events, and on the axis to verticate the frequency of occurrence.

For this case the possible events are the values from 1 to 5 of the numbered sequence

1 2 3 4 5

The frequency for each number is

4 6 2 6 2.

With these values, a bar graph was made in excel, which is shown in the attached image.

There it is observed that the events with greater frequency are the 4 and the 2.

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7800 dollars is placed in an account with an annual interest rate of 6.5%. How much will be in the account after 29 years, to th

dimaraw [331]

Answer:

Year 29 $2,956.63 Total Interest $40,643.25 Balance $48,443.25

Step-by-step explanation:

Base amount: $7,800.00

Interest Rate: 6.5% (yearly)

Effective Annual Rate: 6.5%

Calculation period: 29 years

4 0

3 years ago

A caterpillar crawling in a straight line across a coordinate plane starts at point (-3,

Irina18 [472]

9514 1404 393

Answer:

Step-by-step explanation:

In vector form, the equation of point p on the line can be written as ...

p = (-3, -4) +t(25 -(-3), 38 -(-4)) . . . . . for some scalar t

p = (-3, -4) +t(28, 42)

p = (-3, -4) +14t(2, 3)

where t takes on any value between 0 and 1.

If we let t = n/14 for some integer 0 ≤ n ≤ 14, then the coordinates of point p will be integers.

There are 15 values that n can have in the allowed range.

The caterpillar touches 15 points with integer coordinates.

7 0

3 years ago

1. (a). A police car, approaching right-angled intersection from the north, is chasing a speedmg

tamaranim1 [39]

Answer:

<em>The SUV is running at 70 km/h</em>

Step-by-step explanation:

<u>Speed As Rate Of Change </u>

The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.

This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:

$d=\sqrt{x^2+y^2}$

To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:

$\displaystyle d\ '=\frac{x.x'+y.y'}{\sqrt{x^2+y^2}}$