let tj denote the time that it took tejay van garteren to ride the jth stage of the tour de france in 2014. if there were a total of 21 stages, interpret ∑ j

Answers

Answer 1

As per question, let us assume [tex]t(j)[/tex] denotes the time that it took Tejay van garteren to ride the [tex]jth[/tex] stage of the tour de France in [tex]2014[/tex].

Now, let us assume [tex]t(1)[/tex] is the complete time for the first stage;  [tex]t(2)[/tex] is the complete time for the second stage;  [tex]t(3)[/tex] is the complete time for the third stage and so on.

Therefore, the total time of [tex]21[/tex] stages can be written as:

                     ∑[tex]t(j)[/tex]= [tex]t(1)+t(2)+t(3)+..................+t(21)[/tex]  [tex]; j=[1,2,3....21][/tex]

The above expression represents the total time for Tejay van garteren took to finish the ride.

Therefore,  ∑[tex]t(j)[/tex] [tex]; j=[1,2,3....21][/tex] is the total time for Tejay van garteren took to finish the ride.

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Related Questions

21- to 24-year-olds in the us have the lowest percentage of drivers in fatal crashes with bac levels of .08% or higher.

Answers

This statement is False:

"21- to 24-year-olds in the us have the lowest percentage of drivers in fatal crashes with bac levels of .08% or higher."

What do deadly crashes entail?

A traffic collision, also known as a motor vehicle collision, car accident, or car crash, happens when a vehicle strikes another vehicle, a pedestrian, an animal, road debris, or another immovable object, like a tree, pole, or a structure.

Exactly what is a nonfatal accident?

An injury that is not fatal under this approach is one that results from prolonged exposure to an outside force or substance (mechanical, thermal, electrical, chemical, or radiation) or from submersion. Both deliberate and inadvertent bodily harm may occur.

In a collision, what areas of the body are struck first?

Severe injuries are most frequently dealt to the neck, followed by the head, chest, legs, and abdomen/pelvis, for passengers riding on the side of the automobile that was impacted. For those riding in vehicles on the contralateral side of the car, head injuries are most common, followed by chest injuries.

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Is this answer right ?

Answers

Answer:

It's 25

Step-by-step explanation:

ooposite angle of 40 is the one between 2x and the 90 degree angle.

if that is 40 and another angle is 90, then

2x + 40 + 90 = 180

2x = 180 - 130

2x = 50

50/2 = x

x = 25

help with problem 12​

Answers

Answer:

A.

Step-by-step explanation:

Due to the absolute value markers on either side of the equation, there will be no negative numbers that will equal f(x). Therefore, the range cannot equal all real numbers, only all positive real numbers.

The function has changed from f(x)= |x| to g(x)= 2|x|+3 describe the change.
*
The function has been vertically stretched by a factor of 2 and shifted 3 units up
The function has been vertically compressed by a factor of 2 and shifted 3 units up
The function has been vertically stretched by a factor of 2 and shifted 3 units down
The function has been vertically compressed by a factor of 2 and shifted 3 units down

Answers

Check out the attached photo

find the reciprocal of 12.5

Answers

Answer:

Reciprocal means put 1/x

Step-by-step explanation:

It will 1/12.5=0.08

is 3/5 of a mile longer or shorter than 4/7 of a mile

Answers

Answer:

3/5 is longer than 4/7

Step-by-step explanation:

2. Which graph represents the solution
of 6 + 3y < 9 or 4y > 3y + 2?
Help please!!!!!

Answers

Answer: B.

Step-by-step explanation:

   First, we will solve both of these given inequalities for x by isolating the variables.

Given:

   6 + 3y < 9

Subtract 6 from both sides of the equation:

   3y < 3

Divide both sides of the equation by 3:

   y < 1

--

Given:

   4y > 3y + 2

Subtract 3y from both sides of the equation:

   y > 2

   Now, our given inequalities are y < 1 and y > 2. These inequalities are easier to view on the graph. We see that these are not equal to (≥ or ≤), so we will have open circles.

   First, we will graph y < 1. We will plot an open circle at y = 1 and then shade to the left of it. Net, we will graph y > 2. We will plot an open circle at y = 2 and then shade to the right of it. This leaves us with answer option B.

State whether the following is a solution of x ≥ -4.1? Write only YES or NO.
1. -5
2. -4.1
3. 8
4. 0​

Answers

Answer:

1. NO

2. YES

3. YES

4. YES

Step-by-step explanation:

Plot these on a number line to see visually.

Answer:

1. No

2. Yes

3. Yes

4. Yes

Step-by-step explanation:

Given inequality :

x  ≥ -4.1

1.

[tex]\ -5\Large \ \ \text{\bf{(NO)}}[/tex]

Reason:  5 > 4.1 ⇒ -5 < -4.1

2.

[tex]\ -4.1\Large \ \ \text{\bf{(Yes)}}[/tex]

Reason :  -4.1 = -4.1 ⇒ -4.1 ≥ -4.1

3.

[tex]\ 8\Large \ \ \text{\bf{(Yes)}}[/tex]

Reason :  8 is positive and -4.1 is negative  ⇒ 8 ≥ -4.1

4.

[tex]\ 0\Large \ \ \text{\bf{(Yes)}}[/tex]

Reason :   -4.1 is negative and 0 is greater than any negative number ⇒ 0 ≥ -4.1

Rachel went to see a baseball game. The game started at 10:42 AM and ended at 2:11 PM. How long was the game?

Answers

the game was exactly 4:15 hrs

Answer:

4 hous and 29 minutes

Step-by-step explanation:


Two integers, a and b, have a greatest common
actor of 1. If a = 12 and b is greater than 35
but no more than 40, what is the value of b?

Answers

The value of the integer of the b is 37,38,39.

According to the statement

We have to find that the value of the integers.

So, For this purpose, we know that the

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

From the given information:

Two integers, a and b, have a greatest common actor of 1. If a = 12 and b is greater than 35 but no more than 40.

Then

a=12

35 < b < 40

Now, we use the GCF

then

GCF of a and b =  1

GCF of 12 and 37 =  1

GCF of 12 and  38 =  2

GCF of 12 and  39 =  3 .

So, The value of the integer of the b is 37,38,39.

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Incredible Skating has a family special this weekend: You rent skates for $5
and pay $1 an hour for skating per person. Write an equation, where h
represents the number of hours and C represents the total cost.

Answers

Answer:

c=5+1h

Step-by-step explanation:

The equation for where h represents the number of hours and C represents the total cost is C = 5 + nh.

Given that the skates were rented for $5 and pay $1 an hour for skating per person.

We need to write an equation, where h represents the number of hours and C represents the total cost.

To calculate the total cost (C) for a family with h hours of skating, you would need to consider the cost of renting skates ($5) and the cost of skating per person per hour ($1 per person per hour).

Let n be the number of people in the family.

The equation for the total cost (C) can be expressed as follows:

C = 5 + nh

The $5 is added to the equation as a one-time cost for renting skates, which is the same for any number of people.

nh represents the cost for the number of people (n) skating for h hours, at the rate of $1 per person per hour.

The cost per person is multiplied by the number of hours they skate.

Hence the required equation is C = 5 + nh.

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Solve for X and also angles P,Q,R

Answers

Answer:

x = 35°
Q = 87°
P = 58°
R = 35°

Step-by-step explanation:

[tex]x+52+2x-12+x=180[/tex]

[tex]4x+40=180[/tex]

[tex]4x=180-40[/tex]

[tex]x=\frac{140}{4} =35[/tex]

Angle R = 35°
Angle Q = 35 +52 = 87°
Angle P = 2(35) - 12 = 70 -12 = 58°

Hope this helps

whats the anwer to 7/8-1/4=

Answers

Answer:

7/8-1x2/4x2

7/8-2/8=5/8

5/8

-406=c+430



.................

Answers

Answer:

c=836

Step-by-step explanation:

=, c=430+ 406

c=836

Record
". Find the domain of the relation ((0, 0), (1, 1), (2, 0)). Then determine whether the relation is a fur
C {0, 1, 2); function D {0, 1, 2); not a function
B (0, 1, 0); not a function
A (0, 1, 0); function

Answers

The correct option is C. (0, 1, 2); function. The domain of the function is (0, 1, 2).

What is defined as the function and its domain?Functions are used to allocate outputs to inputs. A function's domain is the set of possible inputs to the function. The domain of f(x)=x² is all real numbers, for example, and the domain of g(x)=1/x has been all real numbers except x=0. We can also characterize special functions with more limited domains.

For the given question;

The relation is;

(x, y) =  {(0, 0), (1, 1), (2, 0)}

Take out the values for x.

x = {0, 1, 2}

The above set indicates that the x-values begin at 0 and end at 2.

As a result, the domain is {0, 1, 2}.

To be a function, all of the relation's y-values must refer to different x-values.

Since all y-values possess unique x values, we can say that the provided relation is a function.

Therefore, the given relation defines a function with domain of {0, 1, 2}.

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The correct question is-

Find the domain of the relation ((0, 0), (1, 1), (2, 0)). Then determine whether the relation is a function;

A. (0, 1, 0); function

B. (0, 1, 0); not a function

C. (0, 1, 2); function

D. (0, 1, 2); not a function

100 POINTS BRAINLIEST FOR 1ST ANSWER!!!!
Carla puts $625 into a savings account at an annual interest rate of 2.5%. If she does not withdraw or deposit any money, what is the interest that Carla will earn at the end of 6 months?

Type the number including the dollar sign.

The formula is I=prt

Answers

Answer:

$7.81 (nearest cent)

Step-by-step explanation:

Simple Interest Formula

[tex]\boxed{\sf I = Prt}[/tex]

where:

I = Total interest accrued.P = Principal invested.r = Interest rate (in decimal form).t = Time (in years).

Given values:

P = $625r = 2.5% = 0.025t = 6 months = 0.5 years

Substitute the given values into the formula and solve for I:

[tex]\implies \sf I=625 \cdot 0.025 \cdot 0.5[/tex]

[tex]\implies \sf I=15.625 \cdot 0.5[/tex]

[tex]\implies \sf I=7.8125[/tex]

Therefore, the interest that Carla will earn at the end of 6 months is $7.81 (nearest cent).

Answer:

$7.81 (nearest cent)

Step-by-step explanation:

Use the simple interest formula

Find the product of 3.2 x 1012 and 4.25 x 109. write the final answer in scientific notation. 1.36 x 1021 13.6 x 1021 1.36 x 1022 13.6 x 1022

Answers

The product of two given numbers in terms of scientific notations is 1.36 × 10^(22).

What are scientific notations?

Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.

Calculation of the product of two numbers

Given two numbers are 3.2 × 10^(12) and 4.25 × 10^(9)

Multiplying two numbers, we get

= 3.2 × 10^(12) × 4.25 × 10^(9)

= 13.6 × 10^(21)

= 1.36 × 10^(22)

Hence, the product of two numbers in terms of scientific notations is 1.36 × 10^(22).

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list 1 1/4, 1 2/3, and 11/12 in order form least to greatest

Answers

Answer:
11/12, 1 1/4, 1 2/3

Explanation:

11/12 isn’t a whole number unlike the others which both have 1 as a whole number, this causes it to be the lowest value.

1 1/4 translates to 1.25 in decimal form while 1 2/3 is 1.67 which causes 1 1/4 to be a lower amount than 1 2/3

Solve the linear equation x/3-7=-5

Answers

The solution to the linear equation according to the task content as given is; 6.

What is the solution to the linear equation as given in the task content?

It follows from the task content, it follows that the solution to the linear equation given is required.

Given;

x/3 - 7 = -5

Add 7 to both sides of the equation;

x/3 = -5 + 7

x/3 = 2

Multiply both sides by 3;

x = 2×3

x = 6.

Ultimately, the solution of the linear equation as given in the task content is; 6.

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Activity a1 takes 5 weeks a2 takes 8 weeks and a3 takes 2 weeks. what is the slack of a3?

Answers

Slack of a3 is 6 weeks.

What is slack?

Slack variables are variables that are introduced to an inequality constraint in an optimization problem to change it into an equality. An inequality constraint is replaced by an equality requirement and a non-negativity constraint on the slack variable when a slack variable is introduced. In particular, slack variables are employed in linear programming. The slack variable, like the other variables in the augmented constraints, can only have positive or zero values because of the simplex method. A constraint is binding at a certain candidate solution if its associated slack variable is zero because it limits the modifications that can occur after that.

There are two paths through the network: A1, A2 with completion time 5 + 8 = 13; A1, A3 with completion time 5 + 2 = 7. The project completion time is 13. LCT of A3 = 13. LST of A3 = 13 - 2 = 11. EST of A3 = ECT of A1 = 5. Slack of A3 = 11 - 5 = 6.

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(There are two paths through the network: A1, A2 with completion time 5 + 8 = 13; A1, A3 with completion time 5 + 2 = 7. The project completion time is 13. LCT of A3 = 13. LST of A3 = 13 - 2 = 11. EST of A3 = ECT of A1 = 5. Slack of A3 = 11 - 5 = 6.)

on friday, you drove 145 miles to stay at your grandmother's house. on Sunday, you returned home and calculated the the road trip travel time was 5 hours. What was your average speed?

Answers

Answer:

29 mph

Step-by-step explanation:

divide 145 miles by 5 hours to calculate your miles per hour. 145 / 5 = 29!

Answer: 58 mph

Step-by-step explanation: Since its a round trip multiply 145 by 2.

290

Divide 290/5= 58

58 miles per hour

represent the following on number line -5

Answers

Answer:

It would be 5 spots to the left of 0 on the number line.

Step-by-step explanation:

50pts to whoever can solve this correctly

Answers

The expression for M from the given function is M = 4π²a²/T²G

Subject of formula

The subject of a formula is the variable that is being worked out from a given equation.

Given the equation below;

T² = 4π²a²/GM

We are to make M the subject of the formula

T²GM = 4π²a²

Divide both sides by T²G

T²GM/T²G = 4π²a²/T²G

M = 4π²a²/T²G

Hence the expression for M from the given function is M = 4π²a²/T²G

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let [a; b] be a non-degenerate closed interval in r, and let f : [a; b] ! r. for ant x 2 [a; b] and any t 2 [a; b] s.t. t 6

Answers

According to the given data the non - degenerated closed interval in r is calculated as [tex]\int\limits^t_s[/tex]f(t) - f(s).

What is the degenerated interval?

Any set that only contains one real number is known as a degenerate interval (i.e., an interval of the form [a,a]).  an interval is measured in terms of numbers. An interval is any integer that falls between two specific numbers. This range encompasses all real numbers between those two. Real numbers can be any number anyone can think of. A degenerate interval is any set that contains only one real number (i.e., an interval of the form [a, a]). The empty set is included in this definition by some authors. A suitable interval is one that is either empty or degenerate and has an infinite number of elements.

According to the given data:

f(x[tex]_r[/tex]) - f(x[tex]_r[/tex]₋₁)  = F' (e[tex]_r[/tex])(x[tex]_r[/tex] - x[tex]_r[/tex]₋₁)

By summating the equation it becomes.

f(t) - f(s) [tex]\int\limits^t_s[/tex] f < = f(t) - f(s) --------->

[tex]\int\limits^t_s[/tex] ts < = f(t) - f(s)  ------------->2

From 1 and 2

[tex]\int\limits^t_-s < ={f(t) - f(s) < = \int\limits^t_d {f}[/tex]

So, it finally becomes

[tex]\int\limits^t_s[/tex]f < = f(t) - f(s)

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x and y are only correlated because z caused both to occur. in this example, z is known as a: x and y are only correlated because z caused both to occur. in this example, z is known as a: confounding variable

Answers

When x and y are only correlated because z caused both to occur. in this example, z is known as a: x and y are only correlated because z caused both to occur. in this example, z is known as a: confounding variable. This is true

What is a confounding variable?

It should be noted that confounding variables are variables which affect other variables in such a way that it produces distorted associations between two variables. It should be noted that they confound the "true" relationship between two variables.

In this case, a causal relationship between two variables is often described as the way in which the independent variable affects the dependent variable.

Therefore, the information illustrated is true.

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What is the slope of the line represented by the equation -5x + 2y = 10?
0 - 12/201
O
O
O
25
52

Answers

The slope of the line represented by the equation -5x + 2y = 10 is slope = -5/2 and y intercept= -5

In order to answer the question, we must first simplify the given linear equation so that it may be expressed as a regular linear equation with slope and intercept. A linear equation's slope intercept form is y=mx+b , where "m" denotes the line's slope and "b" its y-intercept. The value of y = 0 must then be entered for the x-intercept, and the value of "x" must then be determined. We will obtain all necessary values in this manner.

By slope-intercept form equation of the line:

y=mx+b

The advantage of the equation in this form is that m and b can be derived 'easily'

Rearrange -5x-2y = 10 in this form.

-2y=5x+10

y=-5/2x+-10/2

y=-5/2x-5

slope = -5/2

y intercept= -5

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Please help due today

Answers

Answer:

first one x = 11

Step-by-step explanation:

3x - 5 = 2x + 6

3x - 2x - 5 = 6

x - 5 = 6

x = 6 + 5

x = 11

on the unit circle, where 0 less-than pi, when is tangent theta undefined?on the unit circle, where 0 less-than pi, when is tangent theta undefined?

Answers

The tanΘ will be undefined at Θ = π/2, where 0≤Θ≤π and tanΘ will be undefined at  Θ = 3π/2 where π≤Θ≤2π.

A circle is what?

A circle is a shape made up of any and all points inside a plane that are situated at a specific distance from the center point. In other words, it is the path a moving point in a plane takes to move around a curve while maintaining a constant distance from another point.

According to the given data:

The unit circle the point (cosΘ, sinΘ) lies on the circle.

Where, 0≤Θ≤2π

We know that tanΘ is the ratio of the sinΘ to cosΘ:

tanΘ = sinΘ/cosΘ

So,

tanΘ will be undefined when cosΘ = 0

So in the interval 0≤Θ≤π

CosΘ will be zero at π/2

The tanΘ will be undefined at Θ = π/2, where 0≤Θ≤π and tanΘ will be undefined at  Θ = 3π/2 where π≤Θ≤2π.

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Answer: C

Step-by-step explanation:

Hope this helps. E2020

Explain how using properties can help you mentally find answers

Answers

Let's see a few examples to understand the statement given in the question.

Example 1:

Find the sum of 75.5 + (58.231 + 24.5)

Hence , the sum of 75.2+(57.376+24.8) is 158.231.

75.5 + (58.231 + 24.5)

= 75.5 + (24.5 + 58.231) (using the commutative property of addition)

= (75.5 + 24.5) + 58.231 (using the associative property of addition)

= 100 + 58.231 (by looking at the first two numbers, it is easier to say that the sum is 100.)

= 158.231 (you can write this answer directly without doing any calculation)

Therefore, the sum of 75.2+(57.376+24.8) is 158.231.

Example 2:

Find the product of (25 × 2) × 50

Hence , the product is 2500 .

(25 × 2) × 50

= 25 × (2 × 50) (using the associate property of multiplication)

= 25 × 100

= 2500 ( we can simply add to zeros at the end if an integer number is multiplied by 100.)

Therefore, the product of (25 × 2) × 50 is 2500.

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Simplify this math equation:
(h/5)^-2

Answers

Answer:

[tex] \large \bf \implies{25 {h}^{ - 2}} \\ [/tex]

Step-by-step explanation:

[tex] \bf \longrightarrow \bigg( \frac{h}{5} \bigg)^{ - 2} \\ \\ \bf \longrightarrow \bigg(\frac{5}{h} \bigg)^{2} \\ \\ \bf \longrightarrow \frac{ {5}^{2} }{ {h}^{2} } \\ \\ \bf \longrightarrow \frac{25}{ {h}^{2} } \\ \\ \bf \longrightarrow25 {h}^{ - 2} [/tex]

Note :- We have using the negative exponent rule :

[tex] \large \mapsto \bf \boxed{ \bf \red{{a}^{ - n} = \frac{1}{ {a}^{n} } }}[/tex]

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You are visiting with Mr. Tully and his daughter at her request. He has advanced Alzheimer's and is incapable of understanding the implications of choosing a Medicare Advantage or prescription drug plan. Can his daughter fill out the enrollment form and sign it for him? Which of the following represents the range of the graph of F(x) below?A. x what is the total area under the normal curve? a. it depends on the mean b. 0.5 c. 1 d. it depends on the standard deviation He environmental protection agency (epa) lacks adjudicative powers to hold hearings and order remedies for violation of environmental laws. true /false Movie stars such as salma hayeck, samuel l. Jackson, dwayne johnson, and jennifer lawrence are paid millions of dollars per movie, which can take as much as 6 months of full-time work for an actor. By contrast, doctors and nurses earn considerably less over the same time period. Why might this be?. You are a manager of a u. S. Firm that plans on exporting a product that is designated as a dual use product and you need to have a u. S. Government approval before export can take place. What is the political motive behind this intervention?. oprah winfrey has received recognition for her success in the entertainment industry, and well as her philanthropic work. find the vertex and write the quadratic function in vertex form (which our openstax textbook also calls the standard form). The fluid-mosaic model of cell membranes refers to the discovery that membranes are composedof a bilayer of phospholipids with proteins embedded; both phospholipids and proteins can easilyflip from inside to out (or vice versa), but cannot move laterally in the membrane.O TrueO False I need some help with this Considering the role of enzymes in metabolic reactions (see Concept 8.4), explain why vitamins are required in very small amounts in the diet. Calculate marginal opportunity costs using graph showing oranges and cherries How does the author develop the character of Uncle Angelo over the course of the story?Group of answer choicesby having him brag about his job as a car mechanic at the local Quicky Lube oil-change shopby having him go from being apologetic about his actions to deciding he was in the right in the first placeby having him go from being stubborn to deciding he will compromise with his wifeby having him make a cheap purchase and then turn a huge profit on the coffee table In the past month, Deandre rented 1 video game and 7 DVDs. The rental price for the video game was $3.20. The rental price for each DVD was $4.90. What Isthe total amount that Deandre spent on video game and DVD rentals in the past month? The risk that your investment will lose value because your return is dependant on the stability of a secondary investment is known as does someone mind helping me with this? Thank you! Find the value of x? 5 1/2 + 3 4/5 + 1 1/4 = Investor portfolios are notoriously overweighted in home-country stocks. this is commonly called ________. _____ is an aliphatic amino acid, but it differs from others because its side chain is bonded to both the _____ and the _____ of the backbone.