Answers
Same thing as before!
First, we can get rid of d(x) simply by looking at it because we can tell it's linear (it's a straight line). If we look at the table, we can see a(x) is also linear because it has a steady rate of growth. b(x) and c(x) both represent exponential growth. The curved shape of b(x) shows us this is exponential growth, and the exponent in c(x) tells us it's also exponential.
Related Questions
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
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.
Nick and Sally run on the 100m straight track,Nicks's speed is 3m/s,Sally's soeed is 2m/s.If they both start from two sides of the track, running towards each other continuously.Then they would meet each other ... times after 10 minutes
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They would meet 30 times after 10 minutes.
Since Nick and Sally run on the 100m straight track, and Nicks's speed is 3m / s, while Sally's speed is 2m / s, if they both start from two sides of the track, running towards each other continuously, to determine how many times they would meet each other after 10 minutes the following calculation should be performed:
30 x 20 + 2 x 20 = 60 + 40 = 100 10 minutes = 600 seconds 600/20 = X 30 = X
Therefore, they would meet 30 times after 10 minutes.
Learn more about maths in https://brainly.com/question/25849676
A park is rectangular with a length of 12 miles. If the area of the park is 68 square miles, what is its width? Input your answer as a fraction.
Answers
Answer:
17/3
Step-by-step explanation:
to find out the width, we need to divide the area by the length.
68/12=5.666666667
fraction form: 17/3 (5 2/3)
Plzzzz help meeee plzzzzzs
Answers
Find the difference between 7/10 and 1/5
Answers
Answer:
Its d 5/10
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
You need 12 dozen cookies for a bake sale. The original recipe makes 48 cookies (4 dozen). How much of each ingredient will you need?
To make a mixed number, type the whole number, then a space, then the fraction part. Example: Two and one-fourth would be 2 1/4.
Only type whole numbers, fractions or mixed numbers in the boxes below (NO DECIMALS). If it does not exactly match the answer I typed in, it will be marked incorrect. Use the / key by the right-side shift button as the fraction bar.
Ingredients Original Recipe Your Amount
All purpose flour 214 cups
cups
Baking Soda 1 teaspoon
teaspoon
Salt 12 teaspoon
teaspoon
Butter, softened 1 cup
cup
Granulated sugar 34 cup
cup
Brown Sugar 34 cup
cup
Egg(s) 1
Vanilla 1 teaspoon
teaspoon
Semisweet Chocolate Chips 2 cups
cups
What is the constant of proportionality for this situation?
Answers
Answer:
So all the ingredients need to be used three times so 642 flour, baking soda 3 teaspoons, same for vanilla, salt 36 teaspoons, butter 3 cups, granulated sugar 102 cups, same for brown sugar, 3 eggs, choco chips 6 cups
describe the transformation
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Answer: f(x)= Vertical stretch by a factor of 3, vertical translation down 1.
g(x)= Vertical compression by a factor of 1/3, vertical translation down 1.
In a school hall 2/5 of the chairs are red 3/7
are blue and the rest are yellow
If there are 24 yellow chairs, how many chairs are blue?
Answers
Answer:
60
Step-by-step explanation:
We can use 5·7 = 35 as a common denominator for these fractions. This tells us the fraction of red chairs is 2/5 = 14/35, and the fraction of blue chairs is 3/7 = 15/35. The rest of the (35 -14 -15)/35 = 6/35 chairs are yellow. This means the ratio of chair colors is ...
red : blue : yellow = 14 : 15 : 6
Multiplying this by 4 will give 24 yellow chairs:
4·14 : 4·15 : 4·6 = 56 : 60 : 24 . . . . red : blue : yellow chairs.
60 chairs are blue.
Plz help
Find ‘x’ & ‘y’
Answers
Answer:
x=20. y=15
Step-by-step explanation:
in similar triangles the sides are all in proportion. this means:
[tex] \frac{25}{5} = \frac{x}{4} = \frac{y}{3} [/tex]
[tex] \frac{25}{5} = 5[/tex]
so:
[tex] \frac{x}{4} = 5[/tex]
x=5×4
x=20
and...
[tex] \frac{y}{3} = 5[/tex]
y=3×5
y=15
Help!!!! 100 POINTS (FIRST CORRECT ANSWER GETS BRAINLIEST)
Answers
Answer:
14x+4
Step-by-step explanation:
5x+5x+2x+2x+3+3-1-1
5x+5x+2x+2x=14x
3+3-1-1=4
14x+4
Kendricks Kennel has 2 spots for cats for every 7 spots for dongs. If he has a total of 144 spots for both cats and dogs, how many more spots does he have for dogs than cats
Answers
Which one is greater 43/50 , 0.91 , 7/8 , 84%
Answers
Answer:
0.91
Step-by-step explanation:
43/50 = 0.86
7/8 = 0.875
84/100 = 0.84
Answer:
0.91
Step-by-step explanation:
.91 is already solved so there is nothing to do there.
Convert 43/50 by multiplying the top and bottom by 2 and you get 86/100, and when you convert that to its decimal, you get 0.86.
For 7/8, multiply the top and bottom by 125 and you get 875/1000. When you convert that, you get 0.875.
For 84 percent, just convert it to 0.84 and you are done.
Therefore, the biggest one is 0.91
4 x 50 = 200
So why we do 8 divide 200 here we can just write 4 x 50 =200 ?
Answers
Answer:
You can! It's just a matter of personal choice.
Step-by-step explanation:
Hector is rewriting the expression 7 Superscript 11 in expanded form. How many terms will be multiplied in his rewritten expression? 2 7 11 12
Answers
Answer:
11
Step-by-step explanation:
you buy 5 pounds for 35 how much dose one pound cost
Answers
Answer: 35 divided by 5 = 7.
Step-by-step explanation: therefore one pound is $7
help with my math READ IT CARFULLY
Answers
Sci = π . 2 . 2 = 12,56 ⇒ 1/2 Sc1 = 1/2 . 12,56 = 6,28
Srec = 6 . 4 = 24
S= 6,28 + 24 = 30,28
the answer is 30,28
ok done. Thank to me :>
Help me ;-;
Find (2)(‐3)
Answers
Would be your answer
Which of the following fractions is equivalent to 1/7?
1. 3/28
2. 1/14
3. 4/28
4. 3/14
Answers
Answer: 3, 4/28
Step-by-step explantation: 1 x 4 is 4, and 7 x 4 is 28. Therefore, 1/7 is equal to 7/28.
its math can someone help
Answers
Answer:
$2.5/game
Step-by-step explanation:
To find Slope, Change of rate
find two points on the graph
I selected : (4,14) and (8, 24)
Slope: y2-y1/x2-x1
24-14/8-4
10/4
5/2
=2.5
so the rate of change is $2.5/game
f(x)= 2/(x+3) find domain
Answers
Answer:
x < -3 or x > -3
if a+b+c=0, prove that a^2 - b^2 - c^2 = 2bc
Answers
Step-by-step explanation:
a+b+c=0b+c=(-a) (SQUARING both the sides)(b+c)²=(-a)²(b²+c²+2bc)=a²2bc=a²-b²-c²HENCE PROVED
a²-b²-c²=2bc
Step-by-step explanation:
........ ............... .......
Due in 5 mins help please!!!
Answers
Answer:
answer B is correct answer!
I think so
what is the measure of angle W?
Answers
Answer:
really to easy
so
x=35
w=81
t=70
c=151
Step-by-step explanation:
Brian had $40 in his savings account in January. He continued to add money to his account and by June, the value of the savings account had increased by 50%. How much money is in Brian's account in June?
Answers
Answer:
Well the answer is
Step-by-step explanation:
GET YO BUTT OFF THIS APP AND ACTUALLY READ A MATHS BOOK
One summer, an ice cream truck driver sold 381 Popsicles and 76 ice creams. How many treats did the driver sell in all?
Answers
pls help me on this im stuck
Answers
Answer:
44 or B
Step-by-step explanation:
Look at comments above
I’ll give 100 points
Answers
Answer:
cant even see the screen good
Step-by-step explanation:
2055
I think cuz when u substitute 170 min for x which is min and solve u get 2055
(feet) y = 8.19(170) + 663
y = 1392.3 + 663
y = 2055.3 (round to nearest WHOLE number)
y = 2055 ft
hope this helps!
equivalent expressions to 3/5x +3
Answers
Step-by-step explanation:
......3(x+5)/5......
how do I find the volume of this shape?
Answers
Answer:
length times witdth times height
extrano a mi sobrina, what does the underlined word mean
Answers
Answer:
I miss my niece
Step-by-step explanation:
it's the meaning of that hope U get it ...