Dante rode his bike a mile in 5 minutes. At that rate, how many miles can he ride in an hour?

Answer:

[tex]\displaystyle \frac{2}{n} \sum_{i = 1}^{n} \left(\left(\frac{2i}{n}\right)^3 - \frac{2i}{n}\right)[/tex]

Step-by-step explanation:

We have the sum:

[tex]\displaystyle \left[\left(\frac{2}{n}\right)}^3-\frac{2}{n}\right]\left(\frac{2}{n}\right)+...+\left[ \left(\frac{2n}{n}\right)^3-\frac{2n}{n}\right]\left(\frac{2}{n}\right)[/tex]

And we want to find the sigma notation that represents the sum.

Note that the leftmost term is the first term while the rightmost term is the last term.

n is the number of terms. Therefore, (2 / n) will stay constant. Hence, we can factor it out of the series:

[tex]\displaystyle =\frac{2}{n}\left(\left[\left(\frac{2}{n}\right)^3-\frac{2}{n}\right]+...+\left[\left(\frac{2n}{n}\right)^3-\frac{2n}{n}\right]\right)[/tex]

Notice the differences between the first term and the last term. The first term is given by [tex]\displaystyle \left(\frac{2}{n}\right)^3- \frac{2}{n}[/tex]. The last term is given by  [tex]\displaystyle \left(\frac{2n}{n}\right)^3- \frac{2n}{n}[/tex]. Because at the last term, our initial term i is equal to n, we can replace the extra n with i for our summation.

Therefore, we can write the following summation:

[tex]=\displaystyle \sum_{i=1}^{n} \frac{2}{n}\left(\left[\left(\frac{2i}{n}\right)^3-\frac{2i}{n}\right]\right)[/tex]

And since (2 / n) is constant:

[tex]\displaystyle = \frac{2}{n} \sum_{i = 1}^{n} \left(\left(\frac{2i}{n}\right)^3 - \frac{2i}{n}\right)[/tex]

The constant is 5, as it relates the two values x and y.

Answer:

80x3, 6x40, 60x4

Step-by-step explanation:

80x3=240

6x40=240

60x40=240

Answer:

C

Step-by-step explanation:

You are asking a group of people to gain knowledge, and through that, you would be conducting a survey.

Answer:

1999

Step-by-step explanation:

The equation which represents the given situation is P=180t+620.

Given that, the population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990​.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, the standard form of the population is increasing linearly is P = mt + b.

Where m is the slope = (y2-y1)/(x2-x1)=(1520-1160)/(5-3)

=360/2

=180

So, 1160=180 × 3 + b

⇒ 1160=540 × 3 + b

⇒ b=620

Then, the equation is P=180t+620

Therefore, the equation which represents the given situation is P(t)=180t+620.

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"Your question is incomplete, probably the complete question/missing part is:"

The population in a certain town is increasing linearly each year. The population at time t=3 is 1160 and at time t=5 is 1520, where t is the number of years after 1990​.

If P(t) is the population at time t, which of these equations correctly represents this situation?

Answer:

The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient.

Step-by-step explanation:

Answer:

dividind symbol

Step-by-step explanation:

idk

Step-by-step explanation:

Answer:

-34

Step-by-step explanation:

-7 - 27 = -34

or

-7 + -27 = -34

Answer:

A is 1/2 B is -5 and C is 3

Step-by-step explanation:

because it start at 0 and A is not on the 1 it is on the half B is 5 backwords and C is 3 spaces

Answer:

other

Step-by-step explanation:

you should now this it's too esay in which standard are you. tell in comments

Answer:

1.

Collinear points mean they are on the same line. That leaves us with answer d. F, E, G

2.

In this case, the intersection of the 2 planes is a line. 2 points both planes contain are B and C, so the intersection can be named as answer b: Line BC

3.

2 points define a line, so therefore the answer to the question is answer b. 1

Hoped this helped. If it did, could you please consider giving me a brainliest? :)

Answer:

Four pieces of candy won't be used.

Step-by-step explanation:

Answer:

Substitute the value of the variable into the expression and simplify.

121

Step-by-step explanation:

Step-by-step explanation:

(y + z)^2

substitute in the given

y = -8, z = 19

(-8 + 19)^2

(11)^2

121

Hope this helps :)

Answer:

440,000

Step-by-step explanation:

The given number i.e. 441,902 rounded to the nearest ten thousand should be considered as the 440,000.

Since the given number is 441,902

We have round the above number to the nearest ten thousand

Since the thousand is less than 5,000 so here it should be 440,000

hence, The given number i.e. 441,902 rounded to the nearest ten thousand should be considered as the 440,000.

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The answer is (-2, -1.5, 0, 2/5, 3/4)

Answer:

the answer is c

Step-by-step explanation:

because -2 is less than -1.5 0 is going to be in the middle because it separates positive from negatives. and 2/5 is smaller then 3/4

Answer:

11 square centimeters

Step-by-step explanation:

1. find the area of the red paper

  4 x 8 = 32

2. find the area of the blue paper

  3 x 7 = 21

3. subtract area of the blue paper from area of the red paper

  32 - 21 = 11

Answer:

21 brownies

Step-by-step explanation:

Answer:

21 brownies.

Step-by-step explanation:

83 - 62 = 21

So there are 21 brownies left on the plate.

Hope I helped :)

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Answer:

y=5/8x+4.5

Step-by-step explanation:

You have to do y-y divided by x-x so 7-2 which equals 5 and 4-(-4) which equals 8 so your slope is 5/8. For y-intercept, you have to do plug in one of your points into y and x in y=mx+b, so I used the point (4, 7) and I put 7 in the y spot and 4 in the x spot and I put the slope in the slope spot so now you have 7=5/8(4)+b. Next, you multiply 5/8 and 4 which gives you 5/2 or 2.5, so now you have 7=2.5+b. Then you subtract 7-2.5 which gives you 4.5 and there is your y-intercept and your whole equation is y=5/8x+4.5.

Answer:

18 tons

Step-by-step explanation

First you need to know that 1 ton is 2,000 pounds. Ok so if you do the 4,000 pounds times the 9 cars you get 36,000 pounds in total and then you can divide by 2,000 and you get 18 so it is 18 tons.

Answer:

the following system of inequalities is true

Step-by-step explanation:

there is no solution because the graph do not intersect

There is no solution because the graph does not intersect.

The following system of inequalities is true.

We have given that,

There is no solution because the shading does not overlap.

There is no solution because the graphs do not intersect.

The solution contains points in four quadrants of the coordinate plane.

The solution is equal to the solution to

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

There is no solution because the graph does not intersect.

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Answer:

5b* because we have no idea what it could stand for

Answer:

5b

Step-by-step explanation:

However many b's there are that's your number so in this case its 5 and then you just add be to it so 5b

The distance from Atlanta to San Jose is

Answer:

(2,440.1 mi)

Answer:

h = 1

Step-by-step explanation:

2h - 1 = 1

2h - 1 + 1 = 1 + 1

2h = 2

2h/2 = 2/2

h = 1

Check:

2(1) - 1 = 1

2 - 1 = 1

1 = 1

Answer:

h = 1

Step-by-step explanation:

I hope this helps!

Answer: none

Step-by-step explanation:

What are these questions, I want brainless btw

Answer:

Cats

Step-by-step explanation:

:)

Answer:

c

Step-by-step explanation:

:)

Answer:

(4k+5)+ (6k+10) = 115

Exterior angle of a triangle is equal to the sum of two opposite interior angles

10k=15=115

10k= 100

k = 100/10

k = 10

Step-by-step explanation:

Answer:

k = 10

Step-by-step explanation:

The 3rd angle that's not defined in the equation is supplementary to 115, so the angle is 180-115 = 65.

We can solve for the equation 65+(4k+5)+(6k+10)=180 -> 65+4k+5+6k+10=180 -> 10k+80 = 180 -> 10k = 100 -> k = 10.

To double-check(optional), we can plug k back into the equation, so 65 + 4*10 + 5 + 6*10 + 10 = 180 -> 100 + 65 + 5 + 10 = 180 -> 180 = 180, so we can confirm that k = 10.

Answer:  x=5   m is parallel to n

Step-by-step explanation:

∠2 and ∠7 are alternate exterior angles so they are equal.

So you can create the equation

40x-48 = 20x+52   Subtract 20x from both sides. Add 48 to both sides.

20x = 100

x = 5

if you need  m∠2 Substtute 5 for x in 20x+52  

20(5) + 52 = 100 +52   m∠2= 152°

m∠7  40(5) - 48 =  200-48  m∠7= 152°

Answer:

x=5   and m is parallel to n

Step-by-step explanation:

give the other person brainliest ^^

Step-by-step explanation:

18/26

27/39

36/52

45/65

An equivalent fraction for a/b is found by multiplying the numerator and denominator by a common integer (n)

Answer:

1 solution

Step-by-step explanation:

-2(3h - 1) =5(2h - 3)

-6h + 2 = 10h - 15

-16h = -17

h = 17/16

Answer: 1 solution