Which table represents the statement "Di runs at a rate of 4 meters per second " ?​

Answer:

[tex]\mathbf{4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]

Step-by-step explanation:

Given integral:

[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx[/tex]

[tex]\mathbf{Using \ Riemann \ sums; \ we \ have: }[/tex]

[tex]\int ^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i =1} \ f( a + i \Delta x) \Delta x[/tex]

[tex]here; \ \Delta x = \dfrac{b-a}{n}[/tex]

∴

[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx = f(x) = \dfrac{x}{2+x^3}[/tex]

[tex]\implies \Delta x = \dfrac{5-1}{n} =\dfrac{4}{n}[/tex]

[tex]f(a + i \Delta x ) = f ( 1 + \dfrac{4i}{n})[/tex]

[tex]f( 1 + \dfrac{4i}{n}) = \dfrac{n^2 ( n+4i)}{2n^3 + (n + 4i)^3}[/tex]

[tex]\lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(a + i \Delta x) \Delta x = \lim_{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n^2(n+4i)}{2n^3 +(n+4i)^3} \Big )\dfrac{4}{n}[/tex]

[tex]\mathbf{= 4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]

Answer:

Yusuf walked 2.8 miles.

Step-by-step explanation:

r = 4 miles / hour

t = 0.7 hours.

d = r*t

d = 4 * 0.7

d = 2.8 miles

Answer:

A scale factor is usually a decimal which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.

Answer:

The number of units decreased by [tex]8.7\%[/tex].

Step-by-step explanation:

Initially, 470 units were sold. The following 429 units were sold, meaning this was [tex]470-429=41[/tex] less units than last year. Thus, the number of units sold decreased and the percent of decrease is:

[tex]\frac{41}{470}\approx 8.7\%[/tex]

Answer:

40%

Step-by-step explanation:

140/350=0.4

0.4 x 100=40

Maybe 4.80

Step-by-step explanation:

Answer:

None of these

Step-by-step explanation:

because if we plug in every time we will gwt one solution of X

Answer:

75 Hours

Step-by-step explanation:

First, you'd have to find out how many times 5 dollars can fit into 2700 dollars. You'd simply just divide 2700 by 5. You will get 540.

Next, multiply 8 minutes and 20 seconds by 540. We know that 20 seconds is a third of a minute, so we'll convert 8 minutes and 20 seconds to 8.33 (repeated) minutes.

8.33 (repeated) multiplied by 540 will give you 4500 minutes.

Next, just divide 4500 minutes by 60, and you'll get 75 hours.

All 3 sides of the triangle are the same, which means all 3 inside angles are the same. Each inside angle is 60 degrees.

We now have 3x = 60

Divide both sides by 3:

x = 60/3

x = 20

Answer:

As in the given figure, all the sides are equal i.e., 5 units

It is a equilateral triangle.

In equilateral triangle all the angles are 60°.

[tex]3x = 60 \\ x = \frac{60}{3} \\ \boxed{x = 20}[/tex]

Answer:

r=12

Step-by-step explanation:

r=12

circumference of arc = theta/360*2πr=3π given

Pi cancels

theta/360*2*12=3

theta*6/90=3

theta*3/45=3

3 cancels,45 to the other side

theta=45 degrees

This should do it :)

Answer:

[tex]\frac{3}{2}[/tex] x - 3 = y

Step-by-step explanation:

The answer is the third equation.

This is because the y-intercept is -3 and the x-intercept is at (2,0) (you can find the x-intercept by making "y" = 0). The only equation that has both of these is the third one.

Answer: 340 children

a quarter is 1/4.

1,360 is the total number of children.

1,360 ÷ 4 = 340

Answer:

3(3x + 3) - 5x - 4 = 25

9x + 9 - 5x - 4 = 25

9x - 5x - 4 = 16

4x - 4 = 16

4x = 20

x = 5

Answer:

9 is not a prime number.

Answer:

9 is not a prime number. Hope that helps.

we know that in parallelogram diagonals bisect each other. So.

TX = VX

c + 30 = 16c

16c - c = 30

15c = 30

c = 30 / 15

c = 2

The value of c should be 2 so that it makes a parallelogram.

Answer:

x = 20 (degrees)

y = 70 (degrees)

Step-by-step explanation:

The angle adjacent to the one labeled 40° is supplementary, so it would measure 140°. And the obtuse triangle is an isosceles, which means that x is half of 180° - 140°, so x = 1/2(40°) = 20°

To find y, subtract 90° and x from 180°

y = 180° - 90° - 20°

y = 70°

Answer:

x = 20 and y = 70

Step-by-step explanation:

x = 20 and y = 70

Answer:

Answer is D=2

Step-by-step explanation:

because when i divide variables it gets me the answer

Answer:

it right

Step-by-step explanation:

Step-by-step explanation:

To get from point (4,4) to (10,10), it is the same as ordering 6 Upward and 6 Right arrows in a straight line.

=> 12C6 = 924.

However there is a restriction that we cannot have 3 Upward and 3 Right arrows as our first 6 arrows.

=> 6C3 * 6C3 = 20 * 20 = 400

Hence there are 924 - 400 = 524 different ways.

Answer:

About 3

Step-by-step explanation:

Step-by-step explanation:

10 men =4 days

8 men =x days

cross multiply

10×x=8×4=24

Answer:

17.81, but I would estimate 17.80 so it doesnt look exact.

Step-by-step explanation:

Answer:

C.) 2/3

Step-by-step explanation:

The line is divided into three sections, and we know the three sections combined equate to 1.

That means that each section is 1/3. The dot is placed on the second section.

That's how you know the fraction represented on the number line is 2/3.

Answer:

1/3 i think

Step-by-step explanation:

I believe it's A. B. and C.

Step-by-step explanation:

B is closest to y-axis

A isn't aligned with b

Answer: I'm just answering so if only one person answers then u can give the other person brainliest.

Step-by-step explanation:    Also if nobody is answering u might want to repost this question

Answer:

153.86 yds. sq.

Hope this helps you!

Step-by-step explanation:

the elvs can make 46 presents

Answer:

something like f(t)=t+3

Step-by-step explanation: