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4 years ago

42x(raise to 4) - 13x² - 40

Mathematics

1 answer:

Rom4ik [11]4 years ago

6 0

I hope this helps you

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Find the sum of natural number from 1 to 30

Ierofanga [76]

Answer:

1. sum of term = 465

2. nth term of the AP = 30n - 10

Step-by-step explanation:

1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore

sum of term = n/2(a + l)

where

a = 1

l = last term = 30

n = number of term

sum of term = 30/2(1 + 30)

sum of term = 15(31)

sum of term = 465

2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......

The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;

a = 20

d = 30

nth term of an AP = a + (n - 1)d

nth term of an AP = 20 + (n - 1)30

nth term of an AP = 20 + 30n - 30

nth term of the AP = 30n - 10

The nth term formula can be used to find the next term progressively. where n = number of term

The sequence will be 20, 50, 80, 110, 140, 170, 200..............

6 0

3 years ago

Yuto and Riko went for a bike ride on the same path. When Riko left their house, Yuto was 5.25 miles along the path. If Yuto’s a

Nimfa-mama [501]

Answer:

Step-by-step explanation:

When Riko left his house, Yuto was 5.25 miles along the path.

Average speed of Riko = 0.35 miles per minute

Average speed of Yuto = 0.25 miles per minute

First we will calculate the time in which Riko will catch Yuto on the track.

Relative velocity of Riko as compared to Yuto will be = velocity of Riko - velocity of Yuto

= 0.35 - 0.25

= 0.10 miles per minute

Now we this relative velocity tells that Riko is moving and Yuto is in static position.

By the formula,

Average speed = $\frac{Distance}{Time}$

0.10 = $\frac{5.25}{t}$

t = $\frac{5.25}{0.1}$

t = 52.5 minutes

Now we know that Rico will catch Yuto in 52.5 minutes. Before this time he will be behind Yuto.

So duration of time in which Rico is behind Yuto will be 0 ≤ t ≤ 52.5

Here time can not be less than zero because time can not be with negative notation. It will always start from 0.

3 0

4 years ago

Read 2 more answers

Write an inequality to match this statement: 14 is greater than 10. **Hint** You need to use shift and the comma button or the p

KIM [24]

Answer:

14>10

Step-by-step explanation:

6 0

3 years ago

The perimeter of a rectangle is 34 it's width is 6.5. Write and equation to determine the length

SashulF [63]

$34 = 2(6.5) + 2(l)$

4 0

3 years ago

Which of the following expressions is equal to 1 divided by 16

Ber [7]

The answer is 1/2 4

3 0

3 years ago