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.


Related Questions

is this correct ? if not what’s the correct answer?

Answers

Answer:

No. The correct answer would be C.

Step-by-step explanation:

AAS: The side cannot be in between the two angles.

ASA: The side is in between the two angles.

I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Answers

Answer:

11

Step-by-step explanation:

Givens:

AD = 8

AC = 4y - 28

y = ?

First we can see that AD and DC are equal.

-note AD and AC are not equal

But 2 times the length of AD should give you AC so.....

2 x length of AD = 16 = AC

We can use the equation:

16 = 4y - 28

Solve for y

16 + 28 = 4y

44 = 4y

y = 11

Therefore value of y is 11.

BRAINLYEST PLUS 5 POINTS
PLEASE DO STEP BY STEP!:)

Evaluate 12x-3(3x-5)+24 when x = 2

Answers

Answer:

Step-by-step explanation: All we are doing here is inserting 2 in place of all the x variables. So that is written as 12(2)-3(3(2)-5)+24. Next, we follow the order of operations to solve

1) Multiply 3 by 2 and subtract by 5 inside the parenthesis = 12(2)-3-1+24

2) Multiply 12 by = 24-3+1+24

3) subtract 3 from 24 = 21+24

4) Add the final two terms = 45

MARK BRAINLIEST

(12)(2)-3((3)(2)-5)+24
=24-3((3)(2)-5)+24
=24-3(6-5)+24
=24-(3)(1)+24
=24-3+24
=21+24
=45
Sorry the parentheses got to be a lot LMMMMAAAAOOO anyways please mark as brainliest

Luis has 3 pounds of ground turkey to make turkey burgers. He uses 3/8 pound per burger to make 6 burgers. How many 1/4 pound burgers can Luis make with the remaining turkey?

Answers

Answer: he can make 3   1/4 pound burgers.

Step-by-step explanation: we know that he starts with 3 lbs of burger meat, and uses some of the meat to make 6 burgers that each weigh 3/8 lbs. If you take the 3/8 lbs and multiply by 6 burgers, you get 18/8, which is how much has been used so far. If you subtract 18/8 from the 3 lbs that Luis has originally started with, you get 6/8 lbs, which is how much he has after his first 6 burgers. Then you can take the 1/4 and see how many times it fits into 6/8 (1/4=2/8, 6/8 divided by 2/8 = 3 burgers that each weigh 1/4 lbs)

HELPP ME PLEASEEE ! I NEED IT RNN

Answers

A square has each side equal which is 8 here.

Perimeter of a square is the sum of each side or

4 X side

4 X 8 = 32 cm

Area of square can be represented by side

Answer : A=32cm²

One angle of an isosceles triangle measures 34º. Which other angles could be in that
isosceles triangle?

Answers

Answer:

112º and 73º

Step-by-step explanation:

34º could be base angle

Base angles are equivalent

Vertical angle would be = 180 - 34 - 34

Vertical angle = 112º

34º could be vertical angle

Base angles are equivalent

2x = 180 - 34

Base angle = 73º

write the number twenty-nine million sixty thousand​

Answers

29,060,000

When writing this out, it is important to make sure you include the commas and the exact amount of zero's by the way.

Answer:29,060,000

Step-by-step explanation:

with every three zeros your number grows bigger 100,00= One hundred thousand. 29,000,000 = thwenty-nine million

Abigail must move a bucket of tomatoes from her garden to her kitchen, as represented on the grid below.
y
Kitchen
L(5, 1)
-1 0
2
Garden
-(-3, 4)

Answers

the distance would be 9.43 units.
step by step explanation:

Answer:

Step-by-step explanation:

9.43

Solve for the x

[tex]\frac{36}{x}[/tex] = -9

Answers

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

[tex]:\implies\sf{ \frac{36}{x} = - 9} \\ \\ :\implies\sf{ \frac{36}{ 9} = -x} \\ \\ :\implies\sf{4 = -x} \\ \\ :\implies\sf{x = -4}[/tex]

-324 because 36/-324 is -9. Make sure to add the negative

What is 7.15-0.274???

Answers

Answer: the answer is 6.876

Step-by-step explanation:

7.15-0.274=6.876

7.500-0.274=6.876

I hope this helps.

BRAINEST PLEASE

if shan has rupees 4800 left after spending 40% of his salary how much did he have in the beginning ​

Answers

Step-by-step explanation:

I think that's clear enough

Please help
7a-4[2-(2a-1)]

Answers

Answer:

15a - 12

Step-by-step explanation:

7a - 4 [ 2 - (2a - 1) ] ← distribute parenthesis inside the bracket by - 1

= 7a - 4 [ 2 - 2a + 1 ]

= 7a - 4 (- 2a + 3) ← distribute parenthesis by - 4

= 7a + 8a - 12 ← collect like terms

= 15a - 12

show work! giving brainly! my teacher told me this was wrong, what's the correct answer?​

Answers

Your not wrong I don’t know why your teacher said that

Answer:

it's Ahmed shoveled more

Jake took 4 piano lessons last month. For each lesson, he memorized 2 major scales and x minor scales.

Answers

b and c are the answers i think....

4567 x 1283490 =
I just want to give points : )

Answers

Answer:

5861698830

Step-by-step explanation:

Help pleaseeee :,) 100 points

Answers

Answer: J) 125

Explanation:

Answer:

x = 125

Step-by-step explanation:

Given equation:

[tex]\log_224-\log_23=\log_5x[/tex]

[tex]\textsf{Apply the Quotient log law}: \quad \log_ax - \log_ay=\log_a\frac{x}{y}[/tex]

[tex]\implies \log_2\left(\dfrac{24}{3}\right)=\log_5x[/tex]

[tex]\implies \log_28=\log_5x[/tex]

Rewrite 8 as 2³:

[tex]\implies \log_2(2^3)=\log_5x[/tex]

[tex]\textsf{Apply the Power log law}: \quad \log_ax^n=n\log_ax[/tex]

[tex]\implies 3\log_22=\log_5x[/tex]

[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]

[tex]\implies 3(1)=\log_5x[/tex]

[tex]\implies \log_5x=3[/tex]

[tex]\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b[/tex]

[tex]\implies 5^3=x[/tex]

[tex]\implies x=125[/tex]

please help me asap..

ty :)

Answers

Answer:

x = 3, 0

y = 0, -4

Step-by-step explanation:

Is the figure shown in the xy- plane a parallelogram? Why or why not. use the coordinates to history your answer.
Please help!!! Due in 15 mins !!

Answers

Answer:

Step-by-step explanation:

It is a parrallelogram, the two lines are Parallel to each other meaning they will never cross each other

The given xy- plane is a parallelogram.

When a plane figure is called a parallelogram?

A plane figure is called a parallelogram when it have four sides, in which opposite sides are parallel to each other and each side is equal in length to its opposite side.

How to find the distance between two points?

If [tex](x_{1},y_{1} })[/tex] and [tex](x_{2},y_{2})[/tex] are the two points then the distance between these points is given by

[tex]d=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1} ) ^{2} }[/tex]

Where, d is the distance between two points.

According to the given question

We have a plane figure PSTO

And the coordinates of points P, S, T, and O are (a, b), (a + c, b), (c, 0) and (0,0) respectively.

Now, the length of the sides by distance formula

PS = [tex]\sqrt{(a-a-c)^{2}+(b-b)^{2} }[/tex]

PS = [tex]\sqrt{c^{2}+0 }[/tex]

PS = c

Similarly,

ST =[tex]\sqrt{(a+c-c)^{2}+(b-0)^{2} }[/tex]

ST = [tex]\sqrt{a^{2} +b^{2} }[/tex]

TO = [tex]\sqrt{(c-0)^{2}+(0-0)^{2} }[/tex]

TO = [tex]\sqrt{c^{2} }[/tex]

TO = c

And, PO = [tex]\sqrt{(a-0)^{2}+(b-0)^{2} }[/tex]

PO = [tex]\sqrt{a^{2} +b^{2} }[/tex]

From the above calculation we found that

PS = TO

PO = ST

⇒ Length of the  opposite sides of the plane figure are equals.

And from the given figure we can see that the opposite sides are also parallel to each other.

Therefore, the given xy- plane is a parallelogram.

Learn more about parallelogram here:

https://brainly.com/question/11220936

#SPJ2

Solve for x in the equation X2 - 12%+ 36 = 90.
X
X = 6+3/10
Ox=6+2/7
<
= 12+ 3922
X= 12+3/10
X=

Answers

Answer:

x = 6 ± 3√

Step-by-step explanation:

Step-by-step explanation:Since this is an unfactorable expression, apply the Quadratic Formula, -b ± √b² - 4ac\2a,

The solutions to the equation are:

x = 6 + 3 √(10) or x = 6 - 3 √(10)

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

x² - 12x + 36 = 90

Subtracting 90 from both sides.

x² - 12x - 54 = 0

To solve for x, we can use the quadratic formula.

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation

ax² + bx + c = 0.

In this case, a = 1, b = -12, and c = -54.

Substituting these values into the formula.

x = (-(-12) ± √((-12)² - 4(1)(-54))) / 2(1)

x = (12 ± √(144 + 216)) / 2

x = (12 ± √(360)) / 2

x = 6 ± 3 √(10)

Therefore,

The solutions to the equation are:

x = 6 + 3 √(10) or x = 6 - 3 √(10)

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ7

Helppppppp pleaseeeee

Answers

The answer would be -1, it is negative because the line is going downwards

The vertices of a triangle are P(8, -5), Q(-5, -8), and R(-4, -3). What are the vertices of the
image reflected across the y-axis?

A. P’(8,-5), Q'(-5, -8), and R'(-4,-3)

B. P'(-8,5), Q'(5,8), and R'(4,3)

C. P'(8,5), Q'(-5,8), and R'(-4,3)

D. P'(-8,-5), Q'(5, -8), and R'(4, -3)

Answers

Answer:

A

Step-by-step explanation:

Hi

please help i will give brainliest

Answers

Answer:

because AB//DE

so DÊC=BÂC ( 2 straight lines are parallel and have the same internal angle)

because ACD is the outer angle of the triangle ABC so ACD= ABC+BÂC

because DÊC=BÂC

so ACD= ABC+ DÊC

Use substitution to solve each system of equations.
=++=

Answers

Answer:

I can only see =++= so please repost your answer so i can edit my answer as well

Step-by-step explanation:

Please help :)
M is the midpoint of segment AT.
Solve for X and AM

Answers

Because M is the midpoint of segment AT
So AM = TM
<=> 5x = 3x + 4 <=> 5x - 3x = 4
<=> 2x = 4 <=> x = 2

The answer: x = 2
Ok done. Thank to me :>

A line has a slope of – 4 and includes the points (6,3) and (9,p). What is the value of p?

Answers

Answer:

The value of p is -9.

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(p-3)/(9-6)

m=(p-3)/3

-4=(p-3)/3

-4*3=p-3

-12=p-3

p=-12+3

p=-9

X^2-18x complete the square

Answers

[tex]x^2 -18x \\\\=x^2 - 2 \cdot 9x +9^2 -9^2\\\\=(x-9)^2-81[/tex]

Someone help pls and explain it if you can pls

Answers

the answer is: y = 3x + 1

P/s: i can't see the picture clearly but the answer is not A or C

ok done. Thank to me :>

What is the measure of

Answers

Answer:

81

Step-by-step explanation:

From the diagram,

143 is the exterior angle of the triangle.

61 and B are interior angles of the triange.

Formula : -

Exterior angle of a triangle = Sum of two interior angles in a triangle

143 = 61 + ∠B

∠B = 143 - 61

∠B = 82

Therefore, the measure of ∠B is 82.

Translate to an inequality. Use the variable x.
A number is less than 15.

Answers

Answer:

that's the correct answers

Step-by-step explanation:

thanks for your

To translate the statement "A number is less than 15" into an inequality using the variable x, we write:

x < 15

This inequality indicates that the value of x is any number that is smaller than 15. In other words, x can be any real number in the open interval (-∞, 15). It represents a wide range of values from negative infinity up to, but not including, 15.

This statement is not restrictive and allows for infinite possibilities for x, as long as it is smaller than 15. The inequality x < 15 leaves ample room for a wide variety of numerical solutions.

Therefore, to translate the statement "A number is less than 15" into an inequality using the variable x, we write:

x < 15

Learn more about inequality here

https://brainly.com/question/24562509

#SPJ2

Check
Match the solution set given in inequality notation with the solution set given in interval notation.
17,88
(-0, 7.8)
7.8
(7.8,00)
> 7.8
[7.8,00)
V
7.8
(-0, 7.8)

Answers

The Matching of the inequality is

x ≤ 7.8 -> (-∞,7.8]

x < 7.8 -> (-∞,7.8).

x > 7.8 -> (7.8,∞)

x ≥ 7.8 -> [7.8,∞).

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

1. x ≤ 7.8

Here the value of is less than equal to 7.8 which means starting from -∞ to 7.8

Thus, the interval is (-∞,7.8]

2. x < 7.8

Here the value of is less than 7.8 which means starting from -∞ to less than 7.8.

Thus, the interval is (-∞,7.8).

3. x > 7.8

Here the value of is greater than 7.8 which means starting from 7.9 to ∞.

Thus, the interval is (7.8,∞)

4. x ≥ 7.8

Here the value of is greater than equal to 7.8 which means starting from 7.8 to ∞.

Thus, the interval is  [7.8,∞).

Learn more about Inequality here:

https://brainly.com/question/30231190

#SPJ7

Other Questions
Please associate the idiomatic expressions in column A to the circumstancesin which you would use them.Qu'est-ce qu'il ya??You're walking on thestreet and you see a littleboy crying on thesidewalk. What do yousay?Vas-y!?You have been working ona math exercise for awhile and you're finallydone. What do you say?J'y vais.?You're in the stands,watching a race in whichyour friend is participating.He is just passing in frontof you. What do you yellout to him?a y est!?You're just about to leaveyour friend's house. Whatdo you say as you getready to go? a 16 ounce package of hamburger meat has 3% fat how much of the total package is fat 1. On a rendez-vous----------- aroport We won the match because hard for the whole week.A have practisedB practiseC had been practisingD have been practising Maplewood Furniture Store is having a sale on dining room furniture. When a customer purchases a set of dining chairs, a one-time discount of $55 is applied to the total. During the sale, Rhianna buys a set of 6 chairs that match the table she inherited from her grandmother. Rhianna pays $455 in all. Which equation can you use to find the regular cost, c, of each chair? ( ANSWERS 6c - 55 = 455, 55(c - 6) = 455, 55c - 6 = 455, 6(c - 55) = 455,) What is the regular cost of the chair How to factor 10n^2 +n -3and 2d^2=8de+6e^2 0.326In stranded form pleasee A gumball machine has 240 red gumballs. If the red gumballs are 50% of the total number of gumballs, how many gumballs are in the gumball machine? What is the y-intercept y = -6x - 51. (0, -5)2. (5, 0)3. (0, 5)4. (-5, 0) Find the equation of the line perpendicular to y=(1/2)x+3, that passes through the point (2,-1). please help ill give brianliest to whoever gets the question right :) The concept of race is best defined as: __________a. differences based upon ethnic variation between different nations or culture groups. b. differences based upon linguistic variations such as the Indo-European language family versus Asiatic languages such as Mandarin or African Bantu languages. c. differences based upon human-environmental factors such as how climates and resource availability can effect the prosperity of a region's population. d. differences based upon the continent of a person's residence or origin. e. differences based upon human physiological variations such as skin color and bone structure. What is a good feature film (it should not be a documentary) to analyze sociologically? can you test positive for nicotine from secondhand smoke Simplify:-30x^9/10x^17 Listen to the audio clip and answer the question. https://talkandcomment.com/p/bc53c39f14c65b00095b9865 Il est une heure.Il est deux heures.Il est dix heures.Il est douze heures. PLEASEEEEEEEEEEE HELP MEEEEE IM TIMED ILL GIVE BRAINLIEST 50 POINTS!!!Read the excerpt from Team Moon.The trouble with option 2 was that the venting might push the fuel to an unstable condition. Or, another possible outcome of the burping: what if the landing gear hadnt deployed correctly? Could any movement, or any resulting burstno matter how smalltip the LM over? Many a voice in the debate thought the safest option was to abortnow! But that opinion was quickly overruled by the Grumman and NASA leadership (who were confident of the landing gear), and the consensus of the leaders was that it would be safe to gently, gently burp the engine.Why does the author use a problem-solution text structure in the paragraph?to help the reader understand the astronauts feelings about the landingto help the reader understand the intense pressure of the situationto help the reader understand the similarities between the leaders optionsto help the reader understand the process of burping an engine Marianne answers the phone. The caller is asking for her. How does sheidentify herself?A. Un instant s'il vous plait.B. Je suis sur une autre ligne.C. Elle-mme.D. C'est occup. Which of these was the MOST important result of the deaths of much of the Indian population in South America?A.the importation of slaves from south americaB. the removal of the jesuits form south americaC. the call for an end to colonization of the americans D. the search to enslave more indians from north america which civilization built stone-paved roads over mountains?