The increase rate per year is 0.
What is calculus?Calculus is a branch οf mathematics that deals with the study οf rates οf change and hοw things change οver time. It has twο main branches, differential calculus which studies instantaneοus rates οf change, and integral calculus which deals with accumulatiοn and area.
here given equatiοn fοr the value οf the cοmic bοοk is:
V(y) = 0.20y + 1.50
where y is the number οf years since it was released.
Tο find the rate οf increase per year fοr the value οf the cοmic bοοk, we can take the derivative οf V(y) with respect tο y:
dV/dy = 0.20
This means that the value οf the cοmic bοοk increases by 0.20 dοllars per year.
Tο find the rate οf increase per year fοr the initial value οf the cοmic bοοk, we need tο lοοk at the y-intercept οf the equatiοn fοr V(y). The y-intercept is the value οf V when y is 0, which is:
V(0) = 0.20(0) + 1.50 = 1.50
Therefοre, the initial value οf the cοmic bοοk is $1.50.
Tο find the rate οf increase per year fοr the initial value, we can calculate the derivative οf the initial value with respect tο y, which is:
d/dy (1.50) = 0
This means that the initial value οf the cοmic bοοk dοes nοt change with respect tο time, sο its rate οf increase per year is 0.
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A boat can travel 140 kilometers on 35
liters of gasoline. How much gasoline will
it need to go 432 kilometers?
Answer: 108 liters of gasoline is needed.
Hope this helps! :)
Given parameters:
Distance = 140km
Volume of gasoline = 35liters
Unknown:
Volume of gasoline needed for 432km = ?
Solution:
Let us first find the rate of gasoline consumption per mile. Using this value, we can then determine the volume of gasoline used for the distance given.
Rate of gasoline consumption by the boat = [tex]\frac{volume of gasoline}{distance}[/tex]
= [tex]\frac{35}{140}[/tex]
= 0.25liters/km
Now, the volume of gasoline needed for 432km;
Volume of gasoline needed = rate of gasoline consumption x distance
= 0.25 x 432
= 108liters of gasoline
4 in.
8 in.
7 in.
Pls help
Answer:
I assume you're asking for the volume, which is 224
Step-by-step explanation:
4x7x8=224
I NEED A ANSWER ASAPP!!!!!
A linear regression has a correlation coefficient of r=0.82
. Would this be a good correlation coefficient? What is the best value you could have for a correlation coefficient? Explain your reasoning completely.
Answer:
not very good
Step-by-step explanation:
the correlation should be almost 1 to be a good representation of the data. 0.82 isn't very close. This would be a pretty "rough" approximation at best. Maybe that's all that's needed but usually something close to 1.. like 0.99 is needed.
Find the price of an item that costs $257.50 and has a tax of 5.5%
Answer:
$271.66
Step-by-step explanation:
Solve this problem please :)
How many kilograms did the elephant
weigh at birth?
Answer:
The option not listed
Step-by-step explanation:
The other options don't make sense when comparing it to the graph.
4. x+ 4 + 7 = 3
How do I solve the absolute value ?
Answer:
-2
Step-by-step explanation:
4x +4 +7 =3
or, 4x = 3 - 11
or, x = (-8) / 4
since,
X = -2
A generator turns __?____ energy into ___?____ energy
A.Coiled wire
B.Negative wire
C.Positive wire
D.Handle that can spin
E.Light bulb
Chose two answers to place on the sentence
Help asap
Find the LCM of x2 + x,x2-1,x2-x
Answer:
[tex]first \: \\ x {}^{2} + x \\ = x(x + 1) \\ \\ second \\ {x}^{2} - 1 \\ = (x) {}^{2} - (1) { }^{2} \\ = (x + 1)(x - 1) \\ \\ third \\ x {}^{2} - x \\ = x(x - 1) \\ \\ therefore \: \: lcm = x(x + 1)(x - 1)[/tex]
It helps you a lot ☺️Thank you ☺️☺️
Which set of coordinate pairs do NOT represent a linear function?
(−4, −12), (−3, −10), (−2, −8), (−1, −6)
(−4, −17), (−3, −10), (−2, 5), (−1, 2)
(1, −7), (2, −10), (3, −13), (4, −16)
(1, 1), (2, 4), (3, 7), (4, 10)
Answer:
(-4, -17), (-3, -10), (-2,5), (-1,2)
All the coordinates are represent linear function.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The coordinates are,
⇒ (-4, -12), (-3,-10), (-2, -8), (-1,-6)
⇒ (-4, -17), (-3, -10), (-2,5), (-1,2)
⇒ (1, -7), (2, -10), (3, -13), (4, -16)
⇒ (1, 1), (2, 4), (3, 7), (4, 10)
Now,
We know that;
A relation between a set of inputs having exactly one output each is called a linear function.
Clearly, All the coordinate have exactly one output for every input.
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PLEASE HELP! I WILL MARK THE BRAINLIEST!
A coordinate plane with a line passing through (negative 3, 0), (0, negative 2) and (3, negative 4).
What is the equation of the graphed line written in standard form?
Answer:
2x+3y=-6
Step-by-step explanation:
How do you translate words into equations?
Answer:
easy
Step-by-step explanation:
If it is 125 the word form is one hundred twenty-five
Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes. Calculate the price per 36 rolls for each shop. Write which shop is the best value for money in the comment box. lidals deal is 9 £3.51 oldi deal is 4 £1.52
Answer: Oldi gives the best value of money.
Step-by-step explanation:
Lidal's deal : 9 rolls for £3.51
Oldi's deal : 4 rolls for £1.52
Cost per roll = [tex]\dfrac{\text{total cost}}{\text{Number of rolls}}[/tex]
So,
For Lidal, Cost per roll = [tex]\pounds\dfrac{3.51}{9}=\pounds0.39[/tex]
For Oldi', Cost per roll = [tex]\pounds\dfrac{1.52}{4}=\pounds0.38[/tex]
Clearly, [tex]\pounds 0.39> \pounds 0.38[/tex]
Hence, Oldi gives the best value of money.
Subtract – 3x – 8 from 4x2 – 7x – 2.
Answer: -2 • (4x2from4 + 5x + 1)
Step-by-step explanation: Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
(2): Dot was discarded near "2.".
STEP
1
:
Equation at the end of step 1
((-3x - (23from4 • x2)) - 7x) - 2
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-8x2from4 - 10x - 2 = -2 • (4x2from4 + 5x + 1)
Trying to factor a multi variable polynomial :
3.2 Factoring 4x2from4 + 5x + 1
Answer:
-2
Step-by-step explanation:
Sorry if i'm wrong
Can someone double check this?
Answer:
you good my guy
Step-by-step explanation:
The sum of 9 times a number and 8 is 7. Use the variable c for the unknown number
Answer:
9c + 8 = 7
Step-by-step explanation:
Dominic bought a new video game that was on sale for 35% off. If the original price is 29.95, what will the amount be that Dominic pays?
Answer:
19.47
Step-by-step explanation:
(? x 3) - 3 = 15
help pls and i need the steps :/
Answer:
4
Step-by-step explanation:
Lets make [tex]x[/tex] be the ? in the equation.
That becomes ([tex]x[/tex] x 3) - 3 = 15.
First you have to add 3 on both sides. After doing that it gets to ([tex]x[/tex] x 3) = 15 - 3.
Then you simplify it to 3[tex]x[/tex] = 12.
Now you divide 3 on both sides. That gets to [tex]x[/tex] = 4 after doing it.
Hope this helped! If not, please let me know! <3
Pls help me I don't know what to do here
Answer:
3/9
1 x 3
1 x 9
Step-by-step explanation:
d. Does 4 + 25 is equal to 4 + 25? Explain
[tex]4+25=2+25[/tex]
They are equal because their sums both equal [tex]29[/tex].
Answer:
4 + 25 is equal to 4 + 25
Step-by-step explanation:
they are equal because both of the equations are the same so that would mean both of the equations would be equal to each other
hope this helps
The double number line below shows the approximate number of pounds in a certain number of kilograms: Based on the nunber line, about how many pounds are there In 4.5 kilograms?
1. 8
2. 9
3. 10
4. 11
Which point represents the x-intercept of this exponential function?
Answer:
3
Step-by-step explanation:
because that is where the line (or curve) cuts the x axis
Answer:
Point (3, 0)
30 points plz help, I really need it
[tex]-7\sqrt{3}\pi[/tex]
Add similar elements
:)Hope you enjoy this:)Answer:
A. [tex]-7\sqrt{3}\pi[/tex]
Step-by-step explanation:
To find the simplified form of that expression, we have to combine like terms. To do this, we should remember that:
ab + cb = (a + c)b
[tex]\pi\sqrt{3}-8\pi\sqrt{3}=(\pi-8\pi)\sqrt{3}=((1-8)\pi)\sqrt{3}=-7\pi\sqrt{3}=-7\sqrt{3}\pi[/tex]
So the simplified form would be [tex]-7\sqrt{3}\pi[/tex].
I hope you find my answer and explanation to be helpful. Happy studying.
f (x) =x^2 - 2x + 9
g (x) = -3x -14
F + 3!=0, g = (F^2 + 5 F + 20)/(9 (F + 3)), x = -14/(F + 3)
Step-by-step explanation:
Evaluate the function for the given value.
h(a) = 3a + 3
Find h(7).
Answer:
h(7) = 24
Step-by-step explanation:
Hi there !
h(a) = 3a + 3
replace a = 7
h(7) = 3×7 + 3
= 21 + 3
= 24
Good luck !
Which of these numbers rounds to 7.62
7.546
7.639
7.670
7.720
HELP mE
Answer:
7.639
Step-by-step explanation:
7.639 rounds to 7.64 which is the closest on I could find to 7.62.
Answer:
I think the answer is 7.636
Step-by-step explanation:
Jennifer bought 4.25 pounds if chocolate covered pecans. If each pound of chocolate covered pecans cost $2.40 how much did Jennifer pay for the chocolate covered pecans?
Answer:10.2$
Step-by-step explanation:4.25 times 2.40=10.2
Answer:
4.25 * 2.40 = 10.2 pretty simple
Step-by-step explanation:
HELP PLS WORTH 50POINTS
If you have an even integer on a number line which we will call "x", what could you call the next consecutive number? What could you call the next consecutive even integer on the number line?
Answer:I NEED THE ANSWER TO
Step-by-step explanation:
Answer:
x+2
Step-by-step explanation:
I need help with this
Answer:
It'll take 11 years till they're the same
would a boxplot of the data 113, 116, 116, 116, 118, 118, 119, 119, 122, 124, 124, 124 allow you to find the mean and the median?