Answers
The graph shown is the second derivative
⇒ first derivative equals the area between
- the second derivative function from 0 to 2
- the axis
Thus the first derivative f(2) equals [tex]8 + c[/tex]
c: represents the initial positionHowever there is an inital position for the first derivative ⇒ f(0) = 2.5
Therefore we must add the initial position to the first derivative found
f(2) = 8 + 2.5 = 10.5
Hope that helps!
Related Questions
Lucy and her friends painted a giant picture.
They used 4 litres of paint.
All the paint came in 500 ml bottles.
The bottles cost £2.67 each.
Paint
500 ml
£2.67
What was the total cost of the 4 litres of paint they used?
Answers
Answer:
£21.36
Step-by-step explanation:
in one litre of any substance there is 1000ml and 500mlx2= 1litre
so it then requires 8 bottles
2.67 x 8 = 21.36
so there is the answer I hope it helped!
I need help pls for this
Answers
According to the question,
Time taken by Jesse to run 1 mile = 7 minutes
Also,
Time taken by Jesse to run 1 mile = 2½ minutes + Michael's time [tex]\;[/tex]
Now, we can say that :
⇒ 7 minutes = 2½ minutes + Michael's time
⇒ (7 - 2½) minutes = Michael's time
⇒ (7 - 5/2) minutes = Michael's time
⇒ (14 - 5)/2 minutes = Michael's time
⇒ 9/2 minutes = Michael's time
⇒ 4½ minutes = Michael's time [Answer]
Step-by-step explanation:
Question:-In track practice, Jesse ran a mile in 7 minutes. His mile time was2.5 minutes faster than Michael's time. Write and solve an equation to calculate Michael's mile time.
Solution
Jessie time 7 minute
Michael’s time is 2.5 times slower
Divide 7 minutes by 2.5 to get answer
Jesse = 7
Michael = 2.5 X
7 = 2.5 X
7/2.5 X = 17.5 to check answer divide 17.5 by the 2.5, your answer is 7.
Or if it was 2.5 more
we subtract 2.5 from 7
=> 7 - 2.5
=> 4.5
=> 4 ½
----
Which of the following shows an equivalent expression to
[(5-3). 12) if only the associative property was used to transform the expression?
А
[5. (3.12)]
(В
[(5.12). 3)
C
[(3.5). 12]
Answers
PLS HELP
AND EXPLAIN
NO LINKS
Answers
Answer:
5/8 (Decimal 0.625)
Step-by-step explanation:
Equation with variables filled is: 1/2 + (3/4 - 5/8)
3/4 - 5/8 is 1/8
Equation is now 1/2 + 1/8
1/2 is also 4/8
4/8 + 1/8 = 5/8
The answer is 5/8.
Brainliest please?
GIVING BRAINLIEST HELP NEEDED
Answers
The volume of the prism given its dimensions is equal to 160 cubic units.
What is the volume of the prism?
The given prism is made up of two prisms. The volume of the prism is the volume of the two shapes.
One of the prisms have the dimensions: 4 x 4 x 5.Volume = 80
The other prism has the dimensions: 8 x 2 x 5.Volume = 80
Volume of the prism = 80 x 2 = 160 cubic units.
To learn more about rectangular prisms, please check: https://brainly.com/question/8890358
Find the domain of the graphed function.
Answers
Answer:
option d bro
Step-by-step explanation:
the answer is option d x>=0
Julie wants to randomly choose two out of three friends, Margarite, Anita, and Sasha, to go with her to a
concert. In which method does one of Julie's friends have more than a fair chance of being chosen?
Answers
Slip system can be used to give more than fair chances of selection where the number of slips for one is more than the other.
There are multiple ways of selecting random sample like tossing a coin, flipping a die, lottery system.
Describing a method which can be used to provide more than a fair chance of selection is as follows:
Julie has 3 friends, so make the total number of slips say n
where n is not a multiple of 3.
If n is not a multiple of 3 then her 3 friends will not get an equal chance of being selected.
Consider n=5
She has 3 friends, so 2 slips has repeated names, thus creating more chance of being selected than the one who has name only on one slip.
Thus, this method may result in more chance of selection of one over other.
Learn more about random sampling, here:
https://brainly.com/question/30759604
#SPJ4
Which of the folloyis equivalent to the expression below?
9x^2 + 30x + 25
Answers
Answer:
(3x-5) (3x-5)
Step-by-step explanation:
<33
I hate text limits!!
A factory worker fills each container with 25 boxes of raisins. Each box has 1.33 ounces of raisins. If you buy 12 containers, how many ounces of raisins will you buy?
Answers
3. Find the center of the circle that can be circumscribed about EFG with E(6,4), F(6,2), and G(10,2).
A. (6, 4)
B. (8,3)
C. (3,8)
D. (4,2)
Answers
Step-by-step explanation:
The general form of the equation of a circle is
(x-a)^2 + (y-b)^2 = r^2 where the center is (a,b)
Plugging in the given values:-
(6 - a)^2 + (4-b)^2 = r^2 and
(6-a)^2 + (2-b)^2 = r^2
Subtracting:-
(4-b)^2 - (2 - b)^2 = 0
16 - 8b + b^ - (4 -4b + b^2) = 0
12 - 4b = 0
-4b = -12
b = 3
Similarly if we take the 2 points (6,2) and G(10,2) and make two equations we can find the value of a
(6-a)^2 + (2-b)^2 = r^2
(10.a)^2 + (2-b)^2 = r^2 subtract::-
(6-a)^2 -(10-a(^2 = 0
this will give a = 8
so the center of the circle is the poit (8,3)
How do you write 1.8 × 10–3 in standard form?
Answers
Answer:
0.0018
Step-by-step explanation:
2) Suppose a certain type of bacteria reproduces continuously at a rate of 25% per minute. If the initial
amount of bacteria is 27.
a) Write an equation for the growth of bacteria over time.
b) How money bacteria will there be in 5 minutes? 1 hour?
c) How long will it take for the bacteria to reach a population of 10,000?
Answers
A) The equation for the growth of bacteria over time is : n(t) = 27( [tex]e^{25t}[/tex])
B) The number of bacteria the would be in 5 minutes 1 hour is :
n(5mins) = 215.055 , n(1) = 1944132282109.422
C) The time it will take for the bacteria to reach a population of 10,000 is : t = 0.237 hours
Determine the Equation, number of bacteria and time takenApplying the mathematical growth and decay modelling
a. n(t) = [tex]n_{0}[/tex] [tex]e^{rt}[/tex]
[tex]n_{0}[/tex] = initial amount of bacterial
[tex]e^{rt}[/tex] = exponent
r = rate
t = time
n(t) = 27( [tex]e^{25t}[/tex])
b. for 5 minutes
converting 5 minutes to hours; we divide by 60 minutes
[tex]\frac{5}{60}[/tex] = 0.083 hour
n(5 mins) = 27( [tex]e^{25t}[/tex])
n(5 mins) = 27( [tex]e^{25 * 0.083}[/tex])
n(5 mins) = 27( [tex]e^{2.075}[/tex])
n(5mins) = 27( 7.965)
n(5mins) = 215.055
For 1 hour we have
n(1) = 27( [tex]e^{25t}[/tex])
n(1) = 27( [tex]e^{25 * 1}[/tex])
n(1) = 27( [tex]e^{25}[/tex])
n(1) = 27 * (72004899337.386)
n(1) = 1944132282109.422
c. How long will it take for the bacteria to reach a population of 10,000?
10000 = 27( [tex]e^{25t}[/tex])
[tex]\frac{10000}{27}[/tex] = ( [tex]e^{25t}[/tex])
370.370 = ( [tex]e^{25t}[/tex])
㏑ (370.370 ) = ㏑ ( [tex]e^{25t}[/tex])
5.915 = 25t
[tex]\frac{5.915}{25}[/tex] = t
t = 0.237 hours
In conclusion this type of question can be done by mathematical modelling
Learn more about mathematical modelling: https://brainly.com/question/4960142
SoMeone do this pleaseeeee
Answers
Answer:
0.33=33%
0.07=70%
5.43=543%
1.5%=1/5
3%=3
38%=3/8
Step-by-step explanation:
hope this helps if not please let me know
Geometry helppppp plssss
Quadrilateral ABCD is inscribed in this circle
B
What is the measure of /A?
Enter your answer in the box
Answers
Answer:
Here,
x+2+3x+6 = 180 [ Sum of opposite angle of cyclic quadrilateral is Supplementary ]4x + 8 = 180 4x = 180 - 8x = 172/4x = 43Now,
Angle A = 3 * 43 + 6= 129 + 6= 135
Divide the following. Put
your answer in scientific
notation.
(3.4 X 10^-1) / (4)
Answers
Answer:
8.5 × 10-2
Step-by-step explanation:
I believe this is it
Dexter has four different coins in his pocket he randomly selects a coin from his pocket replaces it and select and a coin what is the probability that both coins are dimes?
Answers
Answer: 1/4
Step-by-step explanation:
ez
SOMEONE PLEASE HELP!!! HURRY
Answers
Answer:
Slope of the line DV = -1
Step-by-step explanation:
Let point D (-5, 1) be [tex](x_{1}, y_{1})[/tex]
Let point V (-1, -3) be [tex](x_{2}, y_{2})[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the appropriate values,
[tex]m = \frac{-3-1}{-1-(-5)} = \frac{-4}{4} = -1[/tex]
slope equals -1
A rectangle measures 4
3
4
inches by
1
3
inches. What is its area?
Answers
Answer:
1 7/12 in^2.
Step-by-step explanation:
Area = length*width
4 3/4 * 1/3
= 19/4 * 1/3
= 19/12
= 1 7/12 in^2.
The value of x is -1/4. Order these expressions from least to greatest:
x, -1 divided by x, 1-x, x-1
Answers
Step-by-step explanation:
There two solutions. X can be zero cause anything divided by zero is undefined.
When dealing with positive numbers:
[tex]least \: to \: greatest \: for \: \: x \geqslant 1[/tex]
[tex] - \frac{1}{x} < \: \: 1 - x \: < \: \: x - 1 \: \: < x[/tex]
When dealing with negative numbers:
[tex]least \: to \: greatest \: for \: \: x < 0[/tex]
[tex] - x \: < x - 1 \: < - \frac{1}{x} \: < 1 - x[/tex]
Please help me with this!!!
(20 points + brainliest)
Answers
Answer:
the product
= (x+4)(x+5)
= x^2 + 5x + 4x +20
= x^2 + 9x + 20
hope this helps!!!
Answer:
x² + 9x + 20Step-by-step explanation:
Applying Distributive Property :
(x + 4)(x + 5)x² + 4x + 5x + 20Combining Like-Terms :
x² + (4 + 5)x + 20x² + 9x + 20Options to question
257
254
256
255
Answers
Answer:
256
Step-by-step explanation:
You get the median by aligning all the numbers then start taking out the number from highest to lowest like this, 1, 2, 3, 4, 5, you take out the 1 and the 5 then the 2 and the 4. The median in the end would 3.
PLEASE HELP MEEEEEEE
Answers
Answer:
so as you see im in middle school but i can solvee it
Step-by-step explanation:
even im in 6th grade i do well with high school stuff ok now let me xplain you just read it carifully eamil your teacher ask for help and doneee your brain is working bam bam bam
A continuous random variable is a random variable: A. that is derived from a random population B. whose values are countable C. that is determined by random probability D. that can assume any value in one or more intervals
Answers
The label on a can starts 2.5 in below the lid. What
is the area of the label?
Answers
From the computation below, the area of the label is 707 Inches.
This calculation is carried out using the theorem of the area of curved shapes.
What is the Curved Surface Area of a Cylinder?The formula for the Curved Surface Area of a Cylinder is given as:
2 [tex]\pi[/tex] rh
= 2 [tex]\pi[/tex] x 7.5 x 15.
This assumes that the label also ends at an equal distance from the top of the lid. Hence 15in = 20 - (2.5 x2);
Recall that [tex]\pi[/tex] = 22/7, hence
= 2 x (22/7) x 7.5 x 15
= 707.142857143
Approximately, this equals; 707 Inches.
Hence, the area of the label = 707 inches.
Notice that the question is incomplete. From inference, however, the general calculation above contains the principles for calculating the area of a label.
Learn more about Surface Area of Curved Shapes at:
https://brainly.com/question/26949672
Which of the following expressions is equal
to 4/5 x 7?
Answers
Answer:
15.75÷2.25
Step-by-step explanation:
I think it's that I'm not completely sure so yeah
Use the function f(x) = x2 − 6x 3 and the graph of g(x) to determine the difference between the maximum value of g(x) and the minimum value of f(x). a parabola that opens down and passes through 0 comma 3, 3 comma 12, and 5 comma 8 3 6 12 18
Answers
A function assigns values. The difference between the maximum value of g(x) and the minimum value of f(x) is 18.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Since the maximum of the parabola function g(x) will lie at its vertex, therefore, the maximum will be at (3,12). Now, if we try to find the minimum of the function f(x). We need to plot the function on the graph as shown below.
As the minimum of the function f(x) will lie at the vertex of the parabola function, therefore the minimum of the function f(x) will lie at (3,-6).
If we try to find the difference between the maximum value of g(x) and the minimum value of f(x), then we will get,
[tex]\rm Difference=12-(-6)=18[/tex]
Thus, the difference between the maximum value of g(x) and the minimum value of f(x) is 18.
Learn more about Function:
https://brainly.com/question/5245372
guy above is right, 18 is the correct answer
IMAGE BELOW I WILL GIVE BRAINLIEST
Answers
Answer:
for L 2, 2 and for LM it is -8,8
Step-by-step explanation:
easy
which set of data is influenced by an extreme x and y values compared to other data points
Answers
The set of data is influenced by an extreme x and y values compared to other data points is an outlier.
What is an outlier?It should be noted that an outlier simply means data points that diverge in big way from the overall pattern.
Outlier can have extreme x or y value when compared to other data points. Also, it can be distant from the rest of the data without the extreme xor y values.
Learn more about outlier on:
https://brainly.com/question/24583510
Answer:a on usa test prep.like it
Step-by-step explanation:
The expression 4w + 7 + 3p + 8x contains how many terms?
Answers
Answer:
4 terms
Step-by-step explanation:
Terms being 4w, 7, 3p, 8x.
Clayton filled five containers with water each container holds 2 gallons and 2 quarts how many quarts of water does Clayton have
Answers
Answer:
30 quarts
Step-by-step explanation:
4 quarts = a gallon
4 quarts +2 quarts = 6 quarts
5 containers*6 quarts(each)
5*6=30