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.
What is x, the distance between points A and A'? 2. 4 units 4. 8 units 13. 6 units 14. 4 units.
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
What is the simplified form of the expression? HELP ASAP
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]
which lines are parallel? how do you know?
Which of the following is a triangle circumscribed by a circle?
Answer:
Hi again
Its your 3rd option
Step-by-step explanation:
Answer:
Step-by-step explanation:
Option 3 is correct just got the test!
Write the equation of the line that passes through the points (-7,7) and (-6,-5)
Answer:
y= -12x - 77
Step-by-step explanation:
HOPE THIS HELPS
If anyone knows how to do this please help, its for a test and I have to finish the course by 11:59 tonight
Answer: The answer to this inequality is C.
Angad was thinking of a number. Angad subtracts 5.1 from the number and gets an answer of 33.5. Form an equation with
x
from the information
2 decreased by the sum of m and 8
Answer:
(m+8) - 2
Step-by-step explanation:
The product of w and 2 is greater than or equal to 19.
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.
how i can answer questions
Answer:yes
Step-by-step explanation:press answerr
How would you write 5 times a number Y?
Answer:
If you mean multiply I think
5y
Step-by-step explanation:
1–5 change the following improper fractions to mixed number.
6–10 change the following mixed numbers to improper fraction.
truncate 4087.2 to the tens
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.
subtract:-
-5/12 from 2
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
2 5/12 or 24/12 + 5/12 = 29/12
Assuming the second:
2 -5/12
24/12 - 5/12
19/12
1.(03.02)
Is (x + 4) a factor of f(x) = x3 - 2x2 + 5x + 1? Use either the remainder theorem or the factor theorem to explain your reasoning.
Answer:
no
Step-by-step explanation:
By the factor theorem
If (x + h) is a factor of f(x) then f(- h) = 0
Given (x + 4) with h = - 4 , then
f(- 4) = (- 4)³ - 2(- 4)² + 5(- 4) + 1
= - 64 - 2(16) - 20 + 1
= - 64 - 32 - 19
= - 115
Since f(- 4) ≠ 0 then (x + 4) is not a factor of f(x)
Using the image below which could be the first step in order to draw a arc for the construction
Answer:
With its point on A, open the compass on point E
* 5.) Write the following in standard form.* 5.8709 x 107
58, 709
58,709,000
5,870,900
587,090
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
Can somebody help me pleaseeeeee
The answer: a° = 180° - 62° = 118° , b° = 62° , c° = (180° - 62°) ÷ 2 = 59°
Ok done. Thank to me :>
The department of education decides to require an additional 2 tests per year of standardized test for all 10th graders. Would this equation be linear or exponential?
Group of answer choices
Exponential
Linear
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?
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
Therefore, it will take 21.53 hours for 8 workers and 5 bandits to lay 1400 bricks.
Learn more about quantities in https://brainly.com/question/21477139
A paralleogram has a perimeter of 56 inches. Two of the sides are each 13 inches long. What is the length of the other two sides
Answer:
15 for each side
Step-by-step explanation:
56-26 is 30, now 30 divided by 2 is 15. So for each side is 15 inches long.
2. (03.03)
How does the graph of f(x) = (x + 6)4 + 2 compare to the parent function g(x) = x4? (10 points)
Answer:
The parent graph is translated 2 to the left and up 6 units.
Step-by-step explanation:
The +2 moves the parent 2 units to the left and the + 6 moves it up 6 units.
Negative ten is equal to ten times the difference between a number and nine.
all stages of work without the links
Answer: start out with -10=10 x n-9
next divided 10. -10 divided by 10 = -1
-1 = n-9
now add 9 to both sides
8 = n
there is your solution!!!
Step-by-step explanation:
What is the length of DE?
А. 8
В. 7
С. 6
D. 5
what is number of terms for 32y- 28
Answer:
2 terms
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
PLS help me 20 points in total
Answer:
-3.5 is the answer
I mean, I think this is referring to positive and negatives which if it is, it would be -3.5 .
PLSS HELP MEE WILL MARK BRAINLIEST
What would be the point in between the 700 and 800?
Answer:
750
Step-by-step explanation:
Please help
Me solve this ASAP
Answer:
i dont know it looks complicated
Step-by-step explanation:
copy paste then search it, you might find it.
Find the solution of the equation. 2(2x + 3) = -4 + 2(2x + 5) x = 0 infinitely many solutions x = -2 no solution
Answer:
Infinitely Many Solutions
Step-by-step explanation:
[tex]2(2x+3)=-4+2(2x+5)\\\\4x+6=-4+4x+10\\\\4x+6=4x+6\\\\Infinitely~Many~Solutions[/tex]
Jason likes to play video games. His parents allow him to play
Answer:
If its for a reasonable time yes, most parents will let their child to play a reasonable time. However, if things get out of control resulting the child being addicted to video games. It is the child's fault and parent's fault
School days: 0 to 60 minutes per day On school days and 2 hours or less on non- school days. There is some advantages in gaming. But in all don't play to much if so, your body will melt. ( not really but melt melt)
