Answers
Answer: 6.68km/litre
Step-by-step explanation:
Distance(d) = 187km ( to 3 significant figures)
Petrol(p) = 28litres ( to 2 significant figures)
A number, x, rounded to 1 significant figure is 200
Write down the error interval for x
Calculating the lower and upper bound for both 'd' and 'p'
Upper bound 'd' = 187.5km
Lower bound 'd' = 186.5km
Upper bound 'p' = 28.5km
Lower bound 'p' = 27.5km
Therefore,
Petrol consumption (C) = d/p
Upper C = 187.5 / 28.5 = 6.57894
Lower C = 186.5 / 27.5 = 6.781818
Accuracy answer for C = (6.57894 + 6.781818) / 2 = 6.680379
= 6.68km/ litre ( to 3 significant figures)
To achieve a reasonable level of accuracy, the upper and lower bounds of P and D was used to calculate C, which was then averaged.
Using 3 significant figures ensure that we capture the C better, instead of early rounding.
Related Questions
HELP!!!Will Give Brainliest to correct answer!!! 40 POINTS!!!
Answers
Take the total number of items and decide that by the ratio (that will get you one) then multiply by how much you need
Answer:
115
Step-by-step explanation:
The person above is right your ratio is the key to divide all the sizes.
It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month. Jana paid off a loan for the same amount at the same interest rate in 5 years by paying $545.75 per month. How much more did Sebastian pay in interest than Jana?
Answers
Answer:
$2,854.2
Step-by-step explanation:
For Sebastian
It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month.
1 year = 12 months
10 years = x
Cross Multiply
x = 10 × 12 = 120 months
He pays $296.66 monthly
Hence, the total amount he paid in 10 years =
$296.66 × 120
= $35,599.2
The loan he took was $30,000.
Hence, the interest Sebastian paid on his loan = $35,599.2 - $30,000
= $5,599.2
For Jana
Jana paid off a loan for the same
amount at the same interest rate in 5 years by paying $545.75 per month.
1 year = 12 months
5 years = x
Cross Multiply
x = 10 × 5 = 60 months
He pays $545.75 monthly
Hence, the total amount he paid in 5 years =
$545.75 × 60
= $32,745
The loan she took was $30,000.
Hence, the interest Sebastian paid on his loan = $32,745 - $30,000
= $2,745
How much more did Sebastian pay in interest than Jana?
This is calculated as:
The interest Sebastian paid - The Interest Jana paid
= $5,599.2 - $2,745
= $2,854.2
Therefore, Sebastian paid $2,854.2 more than Jana
A constant volume of pizza dough is formed into a cylinder with a relatively small height and large radius. The dough is spun and tossed into the air in such a way that the height of the dough decreases the radius increases, it retains its cylindrical shapeAt time of the dough 1/3 inch, the radius of the dough is 12 inches, and the radius of the dough is increasing at a rate of 2 inches per minute at the area of the circular surface of the dough increasing with respect to time? Show answer and numerical answer and units of measure.
Answers
Answer:
The rate of change of each circular surface of the dough is approximately 150.796 in.²/minute
Step-by-step explanation:
The given parameters are;
When the radius of the dough, r = 12 inches, the radius is increasing at 2 inches per minute
Therefore, we have;
dr/dt = 2 in./min
The area of the circular surface of the dough, A = π·r²
The rate of change of each (top or bottom) circular surface area of the dough dA/dt is given as follows;
dA/dt = d(π·r²)/dt = π·2·r·dr/dt
Where;
r = 12 in.
dr/dt = 2 in./min
Substituting, we have;
dA/dt = π·2·r·dr/dt = π × 2 × 12 in. × 2 in./min ≈ 150.796 in.²/minute.
The rate of change of each circular surface of the dough = dA/dt ≈ 150.796 in.²/minute.
34.23 times one year is ....
Answers
Answer:
410.76
Step-by-step explanation:
34.23 * 12= 410.76
1 year = 12 months
34.23 times 12, because there are 12 months in one year, and the calculator shows 410.76!
What is the slope (1,5),(10,2)
Answers
Answer:
m=-1/3
Step-by-step explanation
y2=2,y1=5 , x2=10 , x1= 1
m=y2-y1/x2-x1
m=2-5/10-1
m=-1/3
3/9 because if u plot the 2 points on a graph it will be 3 up and 9 over.
A ladder leans against a wall creating a 58 angle. The ladder reaches 4.5m up the wall. Calculate how long the ladder is
Answers
Answer:
Follow the steps above
2(x-6)+3x+4=
Helpppppp.
Answers
Answer:
5x + (-8)
Step-by-step explanation:
2(x-6)+3x+4=
Distribute:
(2)(x)+(2)(−6)+3x+4
=2x+−12+3x+4
Combine Like Terms:
(2x+3x) + (-12+4)
= 5x+(-8)
Two books have a total of 345 pictures of dogs.
The first book has 121 pictures of dogs. How many
pictures of dogs are in the second book?
Answers
Answer:
224
Step-by-step explanation:
Simply do 345-121 to find the answer
What is the cosine of angle B? Can anyone help with this please? ❤️
Answers
Answer:
a
Step-by-step explanation:
A. No solution
B. All solutions
C. One solution
Answers
Answer:
A. No solutions
Step-by-step explanation:
The solution of the equations would be a point where both functions meet but in our case since the functions are parallels to each other they will never meet there for there will never be a solution to the following system of equations.
Please I need help
What is the perimeter of the parallelogram
Answers
The function g(x) is a transformation of the cube root parent function, f(x) = 3/x . What function is g(x) help
Me
Answers
The function g(x) is a transformation of the cube root parent function f(x) = ∛x will be g(x) = ∛(x - 4) - 3. Then the correct option is D.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
The function g(x) is a transformation of the cube root parent function that will be given below.
f(x) = ∛x.
If we subtract h in the variable of the function then the function shifts toward the left by h units.
And if we subtract k in the function then the function shifts downward by k units.
Then the function g(x) will be
g(x) = ∛(x - 4) - 3
Then the correct option is D.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
what is 8 x 23
+ 6
3 + 2
Answers
Answer:
8x23 +6+3+2 = 195
Step-by-step explanation:
used PEMDAS <3 hope this helps
25. A bag contains colored tiles.
• 3 tiles are red
• 6 tiles are green
• 3 tiles are blue
Atile will be randomly selected from the bag. What is the probability in decimal
form that the tile selected will be green?
Answers
On a particular day, the Dow Jones had a rate of change of -2.1%. Which of the following statements must also be true?
A. The S&P 500 increased.
B. Every stock in the Dow Jones decreased
C. The Nasdaq decreased
D. The average of the 30 stocks in the Dow Jones decreased
Answers
Answer:D
Step-by-step explanation: the average of the 30 stocks in the Dow Jones increased
Which equation shows the correct use of the Distributive Property?
Answers
Hi,
I cannot see the equations so...
assignment
1 of
POSSIBLE POINTS: 2
Two students, Brian and Alexa, both broke their chromebooks. Brian has $50 in his bank account and makes 12 dollars for every driveway
that he shovels. Alexa has 10 dollars in her bank account but makes $20 for every driveway that she shovels. The graph is shown below
20
Answers
Answer:
8267
Step-by-step explanation
Which of the following shapes is a parallelogram that always has four congruent sides?
rhombus
trapezoid
rectangle
kite
square
Answers
Answer:
Square and Rhombus
Sorry for being late
Simplify: −2(5) + 2 =
Answers
Answer:
-8
Step-by-step explanation:
-2(5) + 2
-10 + 2
-8
Does the graph represent an arithmetic sequence or geometric sequence?
Group of answer choices
Geometric sequence because the graph models a linear function.
Arithmetic sequence because the graph models an exponential function.
Geometric sequence because the graph models an exponential function.
Geometric sequence because the graph models a quadratic function.
Arithmetic sequence because the graph models a linear function.
Arithmetic sequence because the graph models a quadratic function.
Answers
Answer:
it is geometric because it multiplies by a factor of 3
help me with the question in the image please help me out :)
Answers
Step-by-step explanation:
(7 + x) / 3 = 2x - 5
7 + x = 3(2x - 5) (multiply 3 on both sides)
7 + x = 6x - 15 (distributive property)
5x = 22 (arrange like terms)
x = 4.4 (divide 5 on both sides)
(15 POINTS!!!) Solve 4 two-step equations:
1. 2x + 12 = 4
2. -5c + 9 = -16
3. -12 = -7 + x/4 (<-- x divided by 4)
4. -n/6 + 4 = 3
Answers
2. C=5
3. X= -20
4. N= 6
What is the image point of (4,-7)(4,−7) after a translation right 4 units and up 5 units?
Answers
A(4,-7)
A’(8,-2)
B(4,-7)
B’(8,-2)
A&B are the original
A’&B’ are the translated
The new coordinate of point (4,−7) after a translation right 4 units and up 5 units is (8,-2).
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
Given the point (4,-7)
If we transformed any point (x,y) to 4 units right then it will add in x so x + 4, and 5 units up then it will add in y so y + 5.
So,
4 units right → 4 + 4 = 8
5 units up → -7 + 5 = -2
So the new coordinate will be (8,-2)
Hence "The new coordinate of point (4,−7) after a translation right 4 units and up 5 units are (8,-2)".
To learn more about the transformation of graphs,
brainly.com/question/3099136
#SPJ2
Translate the figure 4 units left and 3 units down.
Answers
Step-by-step explanation:
Check the photo
~~~~~~~~~~~~~~
The translated equation of line 7y = 4x + 24 is given as 7y = 4x + 3, and the figure is attached below.
What is translation?A shape is translated when it is moved to the left, right, up, or down without turning. Congruence is demonstrated by the fact that the translated shapes (or the image) seem to be the same size as the original ones. Simply said, they have changed their path or directions.
Given:
The figure is shown, The line is passing through (1, 4) and (8, 8),
The equation of the line in the given question can be written as,
y - 8 = (8 - 4) / (8 - 1) (x - 8)
y - 8 = 4 / 7 (x - 8)
7(y - 8) = 4(x - 8)
7y - 56 = 4x - 32
7y = 4x - 32 + 56
7y = 4x + 24
The slope of the line is 4 / 7
The translated equation can be written as,
y - (-3) = 4 / 7 (x - (-4))
y + 3 = 4 / 7 (x + 4)
Thus, the (1, 4) coordinate will become (-3, 1) and the (8, 8) coordinate will become (4, 5), The figure is attached below.
To know more about translation:
https://brainly.com/question/17370215
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find the equation of the circle with center at (3 -2) and radius of 3.
Answers
Answer:
(x - 3)² + (y + 2)² = 9
General Formulas and Concepts:
Pre-Calculus
Equation of a Circle: (x - h)² + (y - k)² = r²
(h, k) is centerr is radiusStep-by-step explanation:
Step 1: Define
Center (3, -2)
h = 3k = -2Radius r = 3
Step 2: Write Equation
Substitute [EC]: (x - 3)² + (y + 2)² = 3²Exponents: (x - 3)² + (y + 2)² = 9Help with number 2 please
Answers
Answer:
3 in a half miles
Step-by-step explanation:
Work out the size of angle x.
Answers
Answer:
13 degrees.
Step-by-step explanation:
First we calculate the other 2 angles of the triangle of which < x is a part.
The bottom angle = 85 (vertical angles are equal).
The top one = 180 - 98 = 82. ( corresponding and adjacent angles).
So angle x = 180 - (85 + 82).
= 180 - 167
= 13 degrees.
13
Explanation:
85 is vertical
98 vertical
180 - 98 = 82
82 vertical
85 + 82 = 167
180 - 167 = 13
6 is 16% of what number?
Answers
Answer:
37.5
Step-by-step explanation:
Answer:
6 is 16% of the number 37.5
Step-by-step explanation:
We have, 16% × x = 6
or, 16/100 × x = 6
Multiplying both sides by 100 and dividing both sides by 16,
we have x = 6 × 100/16
x = 37.5
(3 + 3) x 5
explain yo answer
Answers
Answer:
30
Step-by-step explanation: you add 3+3 and multiply 5 and get 6x5 is 30
Solve the following proportion for u.
3/17 = u/13
Answers
Answer:
2.294117647
Step-by-step explanation:
3/17 = u/13
Cross multiply:
3 * 13 = 17 * u
Simplifying
3 * 13 = 17 * u
Multiply 3 * 13
39 = 17 * u
Solving
39 = 17u
Move all terms containing u to the left, all other terms to the right.
Add '-17u' to each side of the equation.
39 + -17u = 17u + -17u
Combine like terms: 17u + -17u = 0
39 + -17u = 0
Add '-39' to each side of the equation.
39 + -39 + -17u = 0 + -39
Combine like terms: 39 + -39 = 0
0 + -17u = 0 + -39
-17u = 0 + -39
Combine like terms: 0 + -39 = -39
-17u = -39
Divide each side by '-17'.
u = 2
Simplifying
u = 2.294117647
3*13=17u
39=17u
U=39/17=2.29