The number m of miles a long-distance cyclist travels during today's ride can be modeled by the function m(t)=11t+55, where t represents the number of hours since a noon rest stop.
b. Interpret the slope and y-intercept
c. The cyclist can only ride until 6:00 PM. Identify the domain and range of the function.

Answers

Answer 1

Step-by-step explanation:

m(t) = 11t + 55

the slope is always the factor of the variable, so here the slope is 11.

since t is the number of hours riding (after the noon rest stop), the slope (11) is actually the mean speed the rider is going (after the noon rest stop) : with every hour riding the cyclist goes another 11 miles, so this speed is 11 mph.

the y-intercept is the m value when t = 0, because here in our example y (the result variable) is renamed m.

it is here 55.

t = 0 means no time riding yet, so 55 is the "starting value" of the function. that means that the cyclist traveled already 55 miles earlier that day before the noon rest stop.

the cyclist can only ride until 6pm. but we don't know how long the noon rest stop is (i.e. when he continues riding after the rest stop).

so I need to make some assumptions :

the mean speed (11 mph) after lunch break, and the y-intercept (55) suggest to me that the cyclist was riding 5 hours before the stop (5×11 = 55), and will also ride 5 hours after the stop (= from 1pm to 6pm).

if this is wrong, and the cyclist starts at e.g. 12pm, then please just adjust the following numbers accordingly.

but here again, I am assuming the cyclist will go from 1pm to 6pm (for 5 hours).

the domain is the interval or set of all valid values of the input variable (here t) : all real numbers in [0 .. 5].

the "timer" starts at 0 right at the end of the noon test stop. and then the cyclist can go max. 5 hours. and I assume any part of an hour is valid, so we use real numbers instead of e.g. whole numbers.

the range is the interval or set of all valid values of the result variable (here m) : all real numbers in [55 .. 110].

for t = 0 we have m = 55. and this goes continuously up with t until t = 5, leading to 11×5 + 55 = 55+55 = 110.


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Step-by-step explanation:

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What is the simplified form of the expression? HELP ASAP

Answers

Answer:

[tex]360[/tex]

Step-by-step explanation:

[tex] \frac{5(14 - 2)^{2} }{2} = \frac{5 {(12)}^{2} }{2} = \frac{5(144)}{2} \\ \\ \frac{720}{2} = 360[/tex]

Answer:

The answer is option (d) 360.

Step-by-step explanation:

Solution :

[tex]\implies{\tt{\dfrac{5(14 - 2)^{2} }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5(12)^{2} }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5(12 \times 12) }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5(144) }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5 \times 144 }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5 \times \cancel{144}}{ \cancel{2}}}}[/tex]

[tex]\implies{\tt{5 \times 72}}[/tex]

[tex]\implies{\tt{360}}[/tex]

[tex]\dag{\underline{\boxed{\sf{\red{360}}}}}[/tex]

Hence, the answer is 360.

[tex]\rule{300}{1.5}[/tex]

Learn More :

✧ BODMAS :

↝ BODMAS rule is an acronym used to remember the order of operations to be followed while solving expressions in mathematics.

It stands for :-

 B - Brackets,

O - Order of powers or roots,

 D - Division,

 M - Multiplication 

 A - Addition

S - Subtraction.

↝ It means that expressions having multiple operators need to be simplified from left to right in this order only.

✧ BODMAS RULE :

↝ First, we solve brackets, then powers or roots,then division or multiplication (whatever comes first from the left side of the expression), and then at last subtraction or addition.

 Addition (+)

 Subtraction (-)

 Multiplication (×)

 Division (÷)

 Brackets ( )

[tex]\rule{300}{1.5}[/tex]

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Answers

Answer:

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Answers

Answer:

2 terms

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

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Answers

The distance between points A (3, -5) and A' (2, -3) is 2.4 units.

Given that,

The points A (3, -5) and A' (2, -3).

We have to determine,

The distance between point A and A'.

According  to the question,

The distance between two points is determined by using the distance formula.

[tex]\rm Distance \ formula = \sqrt{(x_2-x_2) ^2+ (y_2-y_2)^2[/tex]

Then,

The distance between points A (3, -5) and A' (2, -3) is,

[tex]\rm Distance = \sqrt{(2-3) ^2+ ((-3)-(-5))^2}\\\\ Distance = \sqrt{(-1) ^2+ (2)^2}\\\\ Distance = \sqrt{1+4}\\\\Distance = \sqrt{5}\\\\Distance = 2.4 \ units[/tex]

Hence, The distance between points A (3, -5) and A' (2, -3) is 2.4 units.

For more details refer to the link given below.

https://brainly.com/question/8069952

Answer:

13.6 units

Step-by-step explanation:

Edge

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Answer:

With its point on A, open the compass on point E

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Answer:

  4080

Step-by-step explanation:

When the number is truncated to the tens place, the digits to the right of that place are made to be zero. The truncated value is ...

  4080

_____

When a number is truncated, there is no rounding.

4080 steps
Explanation:…

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y= -12x - 77

Step-by-step explanation:

HOPE THIS HELPS

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Answer:

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Its your 3rd option

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option 3 is correct just got the test!

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Answers

Equation Form:

w x 2 [tex]\geq[/tex] 19

Divide both sides by 2:

w [tex]\geq[/tex] 9.5

So, w must be equal to or greater than 9.5 for this equation to work.

If one worker can lay 10 bricks every hour, and one bandit steals 3 bricks every hour, then how long would it take 8 workers and 5 bandits to lay 1400 bricks?

Answers

It will take 21.53 hours for 8 workers and 5 bandits to lay 1400 bricks.

Given that one worker can lay 10 bricks every hour, and one bandit steals 3 bricks every hour, to determine how long it would take 8 workers and 5 bandits to lay 1400 bricks, the following calculation must be performed:

10 - 3 = 7 5 x 7 + 3 x 10 = X 35 + 30 = X 65 = X 1400/65 = X 21.53 = X

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Answers

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Answers

Answer:

Infinitely Many Solutions

Step-by-step explanation:

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1–5 change the following improper fractions to mixed number.
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Answers

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all stages of work without the links

Answers

Answer: start out with -10=10 x n-9

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now add 9 to both sides

8 = n

there is your solution!!!

Step-by-step explanation:

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Answers

Answer:

If you mean multiply I think

5y

Step-by-step explanation:

subtract:-

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Answers

2 5/12 or 29/12

hope it helps ?

study well:)

Answer:  Deopends.  See below.

Step-by-step explanation:

-5/12 from 2​

The question is poorly worded.  Is it asking us to subtract -5/12 from 2?  Or are we being asked to subtract 5/12 from 2?

Assuming the first:

2 - (-5/12)

2 + 5/12

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Assuming the second:

2 -5/12

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

1.(03.02)
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Answers

Answer:

no

Step-by-step explanation:

By the factor theorem

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Answers

Answer:

The parent graph is translated 2 to the left and up 6 units.

Step-by-step explanation:

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Answers

Answer:

5.8709 x 10 to the 4th power = 58,709

5.8709 x 10 to the 7th power = 58,709,000

5.8709 x 10 to the 6th power = 5,870,900

5.8709 x 10 to the 5th power = ​​​​587,090

Step-by-step explanation:

Hoped that helped:P

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Answers

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Step-by-step explanation:press answerr

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Answer: The answer to this inequality is C.

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