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3 years ago

The sum of the first five terms of an arithmetic series is 25, and the first term is 2. Find the constant difference.

Mathematics

1 answer:

aivan3 [116]3 years ago

5 0

Step-by-step explanation:

if you calculate both of you should ask her

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A square has a perimeter of 32 feet. What is the length of each side?

MissTica

32 divided by 4

that would make the answer 8

8 0

3 years ago

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Solve the equation. dy dx = ay + b cy + d , where a, b, c, and d are constants. (assume a ≠ 0 and ay + b ≠ 0.)

Reil [10]

It solves it in x. the solution for y includes heavy use of the product log function.

dy/dx = ay + b/cy +d

(cy +d/ ay + b) dy = dx

∫ (cy +d/ ay + b) dy = x (t) + C

Into solving the integral, integration by parts followed by u substitution and another integration by parts.

∫ (cy +d/ ay + b) dy

u = cy + d dv = dy/ay + b

du = c dy v = ln I ay + b l / a

Then, use u substitution for the new integral

u = ay + b

du = a dy

∫ ln l ay + b I dy = ∫ ln IuI /a du = 1/a ∫ ln luI du

Integrating the natural log includes thus far another integration by parts

r = ln IuI ds = du

dr = du / u (s) = du

∫ ln IuI / du = u ln IuI - ∫ du = u ln IuI - ∫ a dy = (ay + b) ln Iay +bl – ay

The original integral of expression

∫ (cy +d/ ay + b) dy = cy + d/a ln lay+bl – c/a² [(ay+b) ln lay+bl – ay]

Then simplify

∫ (cy +d/ ay + b) dy = cy + d/a ln lay+bl – c/a²[(ay+b) ln lay+bl – ay]

= a (cy + d)/a² ln lay+bl – c (ay+b)/ a²ln lay+bl + c/a² ay

= cay + ad – cay – cb/ a² ln lay+bl + cay/a²

= ad – cb/a²ln lay+bl + cy/a

The final answer will be

x(t) + C = ad – cb/a² ln lay+bl + cy/a

x(t) = ad – cb/a² ln lay+bl + cy/a + k

3 0

3 years ago

The function f(x) = 2x 26 represents the distance a flock of birds travels in in miles. The function g(x) = x − 1 represents the

nydimaria [60]

Speed is the ratio of distance and time. When we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.

<h3>What is speed?</h3>

Speed can be defined as the rate of change in the position of an object. It is given as,

$Speed = \dfrac{Distance}{Time}$

Given to us

Distance traveled, f(x) = 2x+26

Time, g(x) = x − 1

As we know that the ratio of distance and time is equal to the speed of the object. Since the distance traveled by the flock of birds is given also, the time needed for them to travel the distance is also given.

We need to find f divided by g of 5, which is the speed of the flock,

$Speed = \dfrac{Distance}{Time} = \dfrac{f(x)}{g(x)}$

$Speed = \dfrac{f(x)}{g(x)} = \dfrac{2x +26}{x-1}$

$Speed = \dfrac{f(5)}{g(5)} = \dfrac{2(5) +26}{(5)-1}\\\\Speed = 9 \rm\ miles/ hour$

Hence, when we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.

Learn more about Speed:

brainly.com/question/7359669

7 0

2 years ago

Hi guys could some please help me answer this question???

qaws [65]

Answer: the bottom one

Step-by-step explanation:

i think its the bottom one i did some math

8 0

2 years ago

How to find the distance of something?

posledela

You need the starting point and the end point and count how long it took to get to one point to the either

8 0

3 years ago

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