Answer:
(a) The units of f'(s) is kilometer per liter
(b) [tex]\triangle = 2.22 * 10^{-4}[/tex]
Step-by-step explanation:
Given
[tex]C = f(s)[/tex]
[tex]f(80) = 0.015, f(90) = 0.02, f(100) = 0.027[/tex]
Solving (a): Unit of f'(s)
From the question, we understand that:
[tex]C = f(s)[/tex]
and
[tex]C = Litre/km[/tex] --- units
f'(s) is the inverse of C.
Hence:
i.e.
[tex]f'(s) = C^{-1}[/tex] --- units
So, we have:
[tex]f'(s) = (Litre/km)^{-1}[/tex]
[tex]f'(s) = Km/Litre[/tex]
Solving (b): Instantaneous rate of change at:
[tex]s = 90[/tex]
We have:
[tex]C = f(s)[/tex]
The change is calculated as:
[tex]\triangle = \frac{f(s)}{s}[/tex]
Substitute 90 for s
[tex]\triangle = \frac{f(90)}{90}[/tex]
Given that: [tex]f(90) = 0.02[/tex]
[tex]\triangle = \frac{0.02}{90}[/tex]
[tex]\triangle = 0.000222[/tex]
[tex]\triangle = 2.22 * 10^{-4}[/tex]
Solve: 4 (x + 2.5) = 48
Answer:x=19/2
Step-by-step explanation:
4(x+2.5)=48
Step 1: Simplify both sides of the equation.
4(x+2.5)=48
(4)(x)+(4)(2.5)=48(Distribute)
4x+10=48
Step 2: Subtract 10 from both sides.
4x+10−10=48−10
4x=38
Step 3: Divide both sides by 4. 4x/4 = 38/4 = 19/2
Answer:
4(x + 2.5) = 48.
4x + 4 x 2.5 = 48.
4x + 10 = 48.
4x + 10 -10 = 48 -10
4x = 38
Divide both sides by 4.
X = 9.5.
X = 10 if approximated.
If you rotate a equilateral triangle by a side, what is the name of the resulting 3d shape
A solid of revolution is a three-dimensional figure obtained by rotating a two-dimensional figure (or curve) around a straight line (called the axis) that lies in the same plane. ... Since the triangle's interior is shaded, it creates the interior of the cone, creating a solid figure.
Three dimensional shapes are obtained by rotating the two dimensional shapes. When a circle is rotated we get sphere; when a triangle is rotated we get cone; when rectangle or square is rotated we get cylinder
Please help me answer/figure this out please. No links
Plz help meeeeeeeeeeee
Answer:
kjk
Step-by-step explanation:
ddfv
Which angle measure is equivalent to the angle 17π/4
A. 45 degrees
B. 135 degrees
C. 230 degrees
D. 315 degrees
Answer:
A is correct
Step-by-step explanation:
17*180=3060
3060/4= 765
765-360=405-360=45
1) Mike can run a miles in 12 minutes he starts his run at 11:30am and run 4miles what time dose mike finish his run
Help fast
Answer:
12:18
Step-by-step explanation:
12*4 = 48 minutes
Answer:
Mike stops running at 12:18 PM
Step-by-step explanation:
We know he runs 1 mile each 12 minutes and we also knows he ran 4 miles so the equation is 12*4 or (12 times 4) which is equal to 48. We then add 38 minutes to 11:30 AM and end up at 12:18 PM.
Find the measure of angle x
Answer:
Angle x would be equal to the sum of its two opposite angle
x= 47 + 110
x= 157°
PLEASE ANSWER ASAPP!!!
For what value of y must LMNP be a parallelogram?
Answer:
113° = y
Step-by-step explanation:
y = 180 - 67
y = 113°
Hope this helps!
The table represents a proportional relationship. Complete the table and write an equation that describes the relationship
Answer:
Which table?
There's non
Need help please!!!!!!!!!!
Answer:
n=39
Step-by-step explanation:
I answered, now do the test on your own, no one likes a cheater
What is the simplified form of the expression?
Answer:
4 sqaure root 24x^3/ 2x
Step-by-step explanation:
See steps below:)
Mr. Moore planted a tree in his backyard. His tree grew 3 1/3 feet over five years. if his tree grew at the same rate each year, how much did the tree grow per year.
A. 1/5 foot
B. 1/3 foot
C. 3/5 foot
D. 2/3 foot
Answer:
D. 2/3 per year.
Step-by-step explanation:
3 1
3
÷ 5
=
10
3
÷ 5
=
10
3
×
1
5
=
10 × 1
3 × 5
=
10
15
=
10 ÷ 5
15 ÷ 5
=
2
3
Six chicken nuggets have 204 calories. How many calories are in 9 chicken nuggets
Answer:
306 calories
Step-by-step explanation:
By looking at the problem, we can conclude the number of chicken nuggets and the calories are directly related, when the amount of chicken nuggets go up, the calories also go up, proportionally. Because of this, we can set up an equation:
6 / 204 = 9 / x
Where x is the amount of calories in 9 chicken nuggets.
Now, we can simplify by cross multiplying:
6x = 1836
x = 306 calories
Answer:
306 calories
Step-by-step explanation:
7x+8y= 8
Slope
Y intercept
Answer:
Slope = -7/8
Y-intercept = (0, 1)
Step-by-step explanation:
Answer:
[tex]slope = - \frac{7}{8} [/tex]
y- intercept= 1
Step-by-step explanation:
Rearrange the equation such that it is in the form of y=mx+c. This form is known as the slope-intercept form, and m is the gradient while c is the y-intercept.
7x +8y= 8
8y= -7x +8
Divide by 8 on both sides:
[tex]y = - \frac{7}{8} x + 1[/tex]
Thus, the slope is [tex] - \frac{7}{8} [/tex] and the y-intercept is 1.
Another way to find the y-intercept is to substitute x= 0 into the equation since the y-intercept occurs at x= 0.
7x +8y= 8
When x= 0,
7(0) +8y= 8
8y= 8
y= 8 ÷8
y= 1
Thus, the y-intercept occurs at y= 1 or the coordinate (0, 1).
Note: slope and gradient have the same meaning and can be used interchangeably
Figure A maps to figure B with a scale factor of 0.25
Answer:
x would be 6
Step-by-step explanation:
This is becuase since the scale factor from Fig A to B is 0.25, the length of all of the sides follows this rule.
Since x on Fig A and 1.5 on Fig B are corresponding sides, you can do:
x * 0.25 = 1.5
x * 0.25 (4) = 1.5 (4)
x * 1 =6
x = 6
help(I need this to pass 6th)
Answer:
It is going to be the first one
Why are both of the answers to the last question correct?
the answer is : An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.
Answer:
An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.
Step-by-step explanation:
Answer:
An exponent is a short way to write repeated multiplication. So 212 means the same as 2 • 2 • . . . • 2 • 2.
Step-by-step explanation:
Gabriela bought 48 tickets in order to win the $1000 grand prize for the raffle organized by the Student Council. If there are
432 tickets sold for the raffle, what is the probability that Gabriela will not win the grand prize?
Answer:
[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
Since there are 432 tickets total and Gabriela bought 48, the chances of Gabriela not winning the grand prize is equal to the chance of any of the tickets she did not buy getting drawn. If she bought 48, then she did not buy 432-48=384 tickets. The chances of any of these being drawn is:
[tex]\frac{384}{432}=\boxed{\frac{8}{9}}[/tex]
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8. If they have three children, what is the probability that exactly two of their three children will have that trait? Round your answer to the nearest thousandth
Answer:
0.384 = 38.4% probability that exactly two of their three children will have that trait.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either they have the trait, or they do not. The probability of a child having the trait is independent of any other child. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8.
This means that [tex]p = 0.8[/tex]
Three children:
This means that [tex]n = 3[/tex]
What is the probability that exactly two of their three children will have that trait?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{3,2}.(0.8)^{2}.(0.2)^{1} = 0.384[/tex]
0.384 = 38.4% probability that exactly two of their three children will have that trait.
VERY URGENT PLEASE HELP!!!!
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $59,904. The variable costs will be $9.25 per book. The publisher will sell the finished product to bookstores at a price of $22.25 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer:
4608
Step-by-step explanation:
What is 3x73 I need some help.
Answer:
219
Step-by-step explanation:
Please someone please helps me with this question pls
A regular hexagon has a perimeter of 127 m. Find its area to the nearest tenth.
Answer:
1164.01
Step-by-step explanation:
First you realize there is 6 sides on a hexagon. Then, you divide the 127 by 6. Then you split the hexagons into 6 parts. This leads you to a triangle. Then if you divide the degrees so 360 total degrees/6 parts = 60. If you split that triangle in half, the angle becomes 30 degrees. Then you will realize the 30 degree is pointed at the 127/12. Because you know the x, (x)(Square root 3), 2x theorem (the 30, 60, 90 triangle), you get the height of the triangle which is about 18.33 . Then you do the area of Triangle = 1/2 * base * height. Therefore you should get 194.00 Because there is 6 parts to a hexagon, you then need to multiply by 6. Your final answer should be 1164.01. This should be correct, please correct me if I’m wrong, thanks.
Help me quickkkkkkk!!!!!!!!
Answer:
a) G
b) C
Step-by-step explanation:
Write 0.4 : 6 as a whole number ratio in it's simplest from.
______________________________________
The answer is 1/15.
______________________________________
Answer: 0.4 : 6 = 1 : 15
Step-by-step explanation: Change values to whole numbers.
Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.
We then have:
0.4 : 6 = 4 : 60
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 4 and 60 is 4
Divide both terms by the GCF, 4:
4 ÷ 4 = 1
60 ÷ 4 = 15
The ratio 4 : 60 can be reduced to lowest terms by dividing both terms by the GCF = 4 :
4 : 60 = 1 : 15
Therefore:
0.4 : 6 = 1 : 15
What's the translation notation from JKL to J'K'L?
Answer:
1 up 2 right or y+1 and x+2
Step-by-step explanation:
A biased 4-sided dice is rolled. possible scores are 1,2,3 or 4. The probability of rolling a 1,3 or 4 is shown below. what is the probability of rolling a 2?
Answer:
0.2
Step-by-step explanation:
A probability is always out of 100% (which also means out of 1)
So the probability that the dice rolls a 1 is 0.15/1, the probability it rolls a 3 is 0.3/1 and the probability it rolls a 4 is 0.35/1. The probability it rolls a 2 is x/1 where x is what we're looking for. If you add all the probabilities up you should have 1 in total. So 0.15 + x + 0.3 + 0.35 = 1
So to find the missing one you need to subtract all the probabilities you know from 1:
1 - 0.15 - 0.3 - 0.35 = 0.2
The probability of the die rolling 2 is 0.2
What is probability?Probability is a measure of the likelihood of an event occurring. The probability of all the events in a sample space adds up to 1.
Given here the probabilities are 0.15,0.3, 0.35
since the probabilities, all add upto 1
therefore P(2) = 1-(0.15+0.3+0.35)
= 0.2
Hence the probability that the die will roll 2 is 0.2
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ2
(05.02)Find the measure of angle x in the figure below:
O 60° O 50° O 110° O 70°
What is the measure of BPC?
Answer:
[tex]\angle BPC=100^{\circ}[/tex]
Step-by-step explanation:
Assuming P is the center of the circle:
The angle BPC encompasses arc BC. Notice angle CEB also encompasses this arc and the measure of angle CEB is given as [tex]50^{\circ}[/tex]. The measure of an angle with a point on the circle that encompasses an arc is equal to half of the measure of an angle with a point on the center of circle. Therefore, the measure of arc BPC is equal to [tex]2\cdot50^{\circ}=\boxed{100^{\circ}}[/tex]
HELPP!!!! ASAPfknfkdkcmf
Answer: A im pretty sure
Answer:
c
you can do this brooo(θ‿θ)(θ‿θ)(θ‿θ)