The private spilled 0.35 litres of fuel
How to calculate the amount of litres spilled ?The first step is to convert 6.5 hectolitres to litres
= 6.5 × 100
= 650 litres
Next is to convert millilitres to litres
= 350/1000
= 0.35 litres
Hence the number of litres spilled is 0.35 litres
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in an experiment, each volunteer was allowed to choose between an easy task and a hard task and was told that another volunteer would do the other task. each volunteer could also choose to have a computer assign the two tasks randomly. most volunteers chose the easy task for themselves and under questioning later said they had acted fairly. but when the scenario was described to another group of volunteers, almost all said choosing the easy task would be unfair. this shows that most people apply weaker moral standards to themselves than to others.
The participants' most ethical option would have been to let the computer assign the two assignments at random.
What is critical reasoning?A highly transferable skill set that is highly valued in a range of employment routes is analytical and critical reasoning. No matter their field, the most prevalent quality of effective researchers is their ability to think critically and analytically. This skill enables you, whether you're a graduate student or a working person, to efficiently move through the various stages of the research process, including gathering and synthesizing data, assessing conflicting evidence, formulating questions and testing hypotheses, and interpreting and reflecting on your own findings in relation to other studies. In fields that depend on complex decision-making, like healthcare, where errors in judgment can have serious repercussions, it is crucial to develop analytical and critical thinking abilities to lessen biased practices.
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Solve the equation for x. Write your answers as fractions. x2 = 9 100
I’m having trouble understanding this. So pls help me: 5 √(5)^2
Answer:
5 √(5)^2 = 25
Step-by-step explanation:
The square root of 5^2 is 5. Then we will have to multiply by 5 to get our answer. So we'd do 5 x 5 and it'd equal 25. Therefore our final answer is 25.
I hope this helps, have a blessed day! :D
based on your computations from part i of this exercise, determine which one of the following rules holds for matrices. select all that applies. group of answer choices
Your question was incomplete. Please refer the content below:
Based on your computations from part I of this exercise, determine which one of the following rules holds for matrices. select all that applies. group of answer choices:
a) A( B + C ) = AB + AC
b) A( B + C ) = BA + CA
c) (A + B)² = A² + 2 AB + B²
d) (AB)² = A²B²
e) (A - B)( A + B ) = A² - B²
The option that is correct is option (a) A( B + C ) = AB + AC.
We know that distributive property holds for all the matrices.
So, we get that:
A( B + C ) = AB + AC
We also know that commutative property does not hold for matrices.
So, we get that:
A( B + C ) = AB + AC ≠ BA + CA
A( B + C ) ≠ BA + CA
(A + B)² = A² + BA + AB + B²
(A + B)² ≠ A² + 2 AB + B² (as AB ≠ BA)
(AB)² = ABAB ≠ A²B²
(A - B)( A + B ) = A² - BA + AB + B² ≠ A² - B²
Therefore, we get that only option (a) A( B + C ) = AB + AC is the correct option.
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The heights, in cm, of 32 female gymnasts were recorded:
148 152 147 149 150 147 151
142 156 148 148 149 150 152
155 154 151 154 148 150 149
145 147 148 161 152 162 149
146 151 150 157
a) Construct a grouped frequency table, using groups of 5 cm.
b) Draw a histogram to represent this data.
Step-by-step explanation:
142r4h+34-45=673cm2468228b288The Earth is 287 x 10^7 from Uranus, while Saturn is 12 x 10^8 from Earth. How much farther is Uranus from the Earth than Saturn?
Answer:
1199693701
Step-by-step explanation:
URANUS IS 306299
SATURN IS 1200000000
1200000000-306299=1199693701
5. When a company first started it had 85 employees. It was decided to increase the number of employees by 10 at the beginning of each year. PLS ASAP!!
a. find the number of employees during the second year and during the third year.
b. how many employees will this company have during the 10th year?
c. After how many years will the company have 285 employees?
Answer:
a. 105 and 115 employees
b. 185 employees
c. 20 years
Step-by-step explanation:
The total of employees at any given year is y
x is the number of year
then y = 85 + 10x
a. 2nd year: y = 85 + 10(2) = 85 + 20 = 105
3rd year: y = 85 + 10(3) = 85 + 30 = 115
b. 10th year: y = 85 + 10(10) = 85 + 100 = 185
c: if y = 285
285 = 85 + 10x
10x = 285 - 85
10x = 200
x = 20
Step-by-step explanation:
a.) 105 and 115
b.) 185
c.) 20 yrs
The line y=kx+4 goes through the point (2,-2)
Sketch the graph the line
Please write it step by step
The line of the graph y= kx +4 goes through the point (2,-2) is given by
y = -3x +4.
As given in the question,
Equation of the line is given by y = kx + 4
Passing through the point (2, -2)
Substitute the value in equation we get,
-2= k(2) + 4
⇒2k = -2 -4
⇒k =-6 /2
⇒k =-3
Equation of the line y= -3x + 4 sketched on graph passing through (2,-2).
Therefore, the line of the graph y = kx +4 goes through the point (2,-2) is given by y = -3x +4.
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the cities portland, oregon; tacoma, washington; and seattle, washington, in respective order, lie approximately in a straight line. the distane from portland to tacoma is 120 miles. the distance from portalnd to seattle is 145 miles. find the distance from tacoma to seattle.
The distance from Tacoma to Seattle is estimated as 25 miles.
What is distance?Distance is defined as an object's total movement without regard for direction. Distance can be defined as the amount of ground an object had also covered regardless of its beginning or ending point.
Distance is the total length of the path in between two points.Distance is a scalar quantity because it is determined solely by magnitude and not by direction.Only positive values can be assigned to distance.Now, as per the given question;
The following are the distances between cities:
120 miles from Portland to Tacoma
145 miles from Portland to Seattle
120+x = 145
x = 145 - 120
x = 25 miles
Therefore, the distance from Tacoma to Seattle is estimated as 25 miles (according to the given graph).
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The complete question is -
Item 17 The cities Portland, Oregon; Tacoma, Washington; and Seattle, Washington, in respective order, lie approximately in a straight line. The distance from Portland to Tacoma is 120 miles. The distance from Portland to Seattle is 145 miles. Find the distance from Tacoma to Seattle.
(see attached figure)
Point U is on line segment \overline{TV}
TV
. Given TV=19TV=19 and UV=15,UV=15, determine the length \overline{TU}.
TU
.
The measure of length TU is 4 units
How to determine the measure of length TU?See attachment for the image of the line
The given parameters are
Line TV = 19 units
Line UV = 15 units
From the question, we understand that the point U is on line TV
This means that
The measure of length TU is calculated as
TU = TV + UV
This gives
TU = 19 - 15
Evaluate the like terms
TU = 4
Hence, the measure of length TU is 4 units
See attachment for the image of the line
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Bob told Margaret that he ate half if the amount of cookies that Jeff ate. Margaret does not know how many cookies Jeff ate.
If bob actually ate one more than half of the amount Jeff ate, write an expression that represents the amount of cookies bob ate
The expression that represents the amount of cookies Bob ate is 1 + 0.5x.
How to illustrate the expression?From the information, Bob told Margaret that he ate half if the amount of cookies that Jeff ate. Bob actually ate one more than half of the amount Jeff ate.
Let the amount that Jeff are be represented as x.
Since Bob actually ate one more than half of the amount Jeff ate, this will be:
= (1/2 × x) + 1
= 0.5x +1
Therefore, the expression is 1 + 0.5x.
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What is the maximum value for y in the following function?
Answer:
D. 8
Step-by-step explanation:
well, let's look at the different parts of the functional expression :
the maximum of 5 is 5, of course.
the maximum of 3 is 3.
the maximum of sin(2x) is the maximum of any sine = 1.
sin(2x) only changes the frequency of the sine wave (the max and min values appear twice as often than for sin(x)), but does not have an impact on the amplitude, which defines the max. and min. values.
sin(2x) is NOT the same as 2×sin(x).
sin(2x) still "waves" between +1 and -1.
so, the total maximum is
5 × 1 + 3 = 8
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If the triangle is acute, the possible value for the area of the square on the remaining side is 81 inch².
What is the possible area?For the triangle to be acute, then the area of both the smaller squares need to be able to be larger than the area of the longer side square when added.
This means that if the triangle is acute, the minimum area of the smaller side is:
= 100 - 36 + 1
= 65 inch²
Of the options, the only area larger than 65 inch² is 81 inch².
Options for this question include:
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Lamar's office recycled a total of 6 kilograms of paper over 3 weeks. how many weeks will it take lamar's office to recycle a total of 24 kilograms of paper? solve using unit rates.
Lamar's office will take 12 weeks to recycle a total of 24 kilograms of paper
Information about the problem:
Kg recycled= 6 kgtime= 3 weeksWeeks= ?Total recycle = 24 KgTo solve this problem, we have to state the equation using the information of the problem:
Calculating the recycle rate of Lamar's office, we get:
Rate = Kg recycled / time
Rate = 6 kg/3 weeks
Rate = 2 kg/week
Calculating how many weeks Lamar's office will take to recycle 24 kilograms:
Weeks = Total recycle/ rate
Weeks = 24 kg / 2kg/week
Weeks = 12 weeks
What are algebraic operations?We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
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From 2018 to 2010, the total number of passengers passing through Changi Airport increased by 4% In 2019, the total number was 68 280 000. Calculate the number of passengers passing through Changi Airport in 2018.
Leave your answer correct to the nearest whole number.
Step-by-step explanation:
I guess this means from 2018 to 2019 (and not to 2010).
so, compared to 2018 the numbers of 2019 were 104% (100% of 2018 plus 4% increase).
104% = 68,280,000
100% = 104%/1.04 = 68,280,000/1.04 =
= 65,653,846.15 ≈ 65,653,846
the number of passengers in 2018 were about
65,653,846
Answer the one you no please
Answer:
bro this is so easy it's letter d
Is y=5 a linear or nonlinear function? Why?
Answer: It is linear.
Step-by-step explanation: A linear function must have a degree of 0 or 1. In this case, the slope is 0 but the degree is still 1. 5^1 = 5. So it is linear
Answer:no
Step-by-step explanation: In order for a linear function to be true it has to include a slope intercept
The slope of the function on the left is multiplied by p, and q is added to the y-intercept to arrive at the function on the right. Which of the following are the values for p and q?
The values of p and q are -2 and -3 respectively. Hence, (d) is the answer.
Given that:-
The slope of the function on the left is multiplied by p, and q is added to the y-intercept to arrive at the function on the right.
We have to find the values of p and q.
Points of the graph on the left are (-2,0) and (0,1)
Slope of the graph on the left = (1 - 0)/(0 - (-2)) = 1/2
y-intercept of the graph on the left = 1
Hence, the slope intercept form of the graph on the left is :-
y = (1/2)x + 1
Hence, according to the data given in the question, the slope-intercept form of the line on the left is y = (p/2)x + (q + 1)
Also,
Points of the graph on the right are (-2,0) and (0,-2)
Slope of the graph on the right = (-2 - 0)/(0 - (-2)) = -2/2 = -1
y-intercept of the graph on the right = -2
Hence,
Hence, the slope intercept form of the graph on the right is :-
y = -1x -2
Hence,
p/2 = -1
p = -2
and,
q + 1 = -2
q = -3
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I need help with this question so I came to Brantley
The value of the variable x is 5 and the lengths of PL and LQ are 9 and 48, respectively.
How to find the value of a variable and the length of the line segments behind that variable
In this problem we find a line segment generated by points P and Q and in which a point L divides the line segment PQ in two sections: PL and LQ. In accordance with the statement, we have the following equations describing the geometric system:
PQ = PL + LQ
PQ = PL + LQ
57 = (2 · x - 1) + (9 · x + 3)
Now we proceed to clear the variable x with the resulting equation:
57 = 11 · x + 2
55 = 11 · x
x = 5
And finally we find the length of each line segment:
PL = 2 · 5 - 1
PL = 9
LQ = 9 · 5 + 3
LQ = 48
The value of the variable x is 5 and the lengths of PL and LQ are 9 and 48, respectively.
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Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than Jared did and made 80% of them. Together, they made a total of 101 shots. Which equation represents this situation? Select the correct answer. 0.75x = 0.8(x + 10) 0.75(x + 10) + 0.8x = 101 0.75x + 0.8x + 10 = 101 0.75x + 0.8(x + 10) = 101
Answer:
last one 0.75x + 0.8(x + 10) = 101
Step-by-step explanation:
Jared made 75% = 0.75
let, his attempts = x
zach made 80% = 0.80
his attempts = (x+10)
total = 0.75x + 0.80(x+10) = 101
Hope it helps!
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Jill records the temperature outside every hour for 4 hours. She finds that the temperature dropped by the same amount each hour. After 4 hours, she finds that the temperature dropped a total of 20∘F. She writes this number sentence.
(−20)÷4=−5
What does the number sentence mean?
1. The total drop in temperature, −20∘F, divided by 4 hours equals −5∘F per hour. The temperature dropped 5∘F each hour.
2. The total number of drops, 20, divided by 4 hours equals 5 times per hour. The temperature dropped 5 times per hour.
3. The total drop in temperature, −20∘F, divided by 4∘F in the first hour, equals −5 drops. The temperature dropped 5 times.
4. The total number of hours, 20, divided by 4∘F equals 5 hours. The temperature dropped once every 5 hours.
The total drop in temperature, −20∘F, divided by 4 hours equals −5∘F per hour. The temperature dropped 5∘F each hour. (option 1)
What does the sentence mean?Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operation.
If the total drop in temperature over 4 hours is −20∘F, in order to determine the temperature drop each hour, divide −20∘F by 4.
Drop each hour = −20∘F / 4 = −5∘F
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paul and tom both commute to work. paul's commute on the train takes 15 minutes more than one third as many minutes as tom's commute by car. it takes paul 45 minutes to get to work. write an equation to determine how many minutes it takes tom to get to work.
It takes Tom 90 minutes to reach at the work.
Given,
Total time taken by paul = 45 minutes
Time taken by tom = x
According to the question,
the equation will be -
45 = (1/3)x + 15
On solving,
45 - 15 = (1/3)x
30 = (1/3)x
x = 90 minutes
So, it takes, tom 90 minutes to reach
What is a linear equation?An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
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Under her cell phone plan, Khloe pays a flat cost of $52 per month and $4 per gigabyte, or part of a gigabyte. (For example, if she used 2.3 gigabytes, she would have to pay for 3 whole gigabytes.) She wants to keep her bill under $65 per month. What is the maximum whole number of gigabytes of data she can use while staying within her budget?
The maximum whole number of gigabytes of data she can use while staying within her budget is 3 gigabytes.
How to calculate the value?From the information, Khloe pays a flat cost of $52 per month and $4 per gigabyte, or part of a gigabyte and she wants her bill to be under $65.
Let the number of gigabytes be represented by x.
Therefore, this will be:
52 + 4x < 65
Collect like terms
4x < 65 - 52
4x < 13
x < 13/4
x < 3.25
Therefore, the highest gigabytes that she can buy will be 3 gigabytes.
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hey can someone please help with this question please?
Jaime $8.00 of the $25.00 in his wallet. which decimal represents the fraction of the $25.00 Jaime spent
Decimal which represents the fraction of the $25.00 Jaime spent is equal to 0.32.
As given in the question,
Total amount in wallet = $25.00
Amount spent = $8.00
Decimal which represents the fraction of the $25.00 Jaime spent
Fraction spent by Jaime = (Amount spent by Jaime)/(Total amount in wallet)
⇒Fraction spent by Jaime = ($ 8.00 ) / ($ 25.00)
⇒Fraction spent by Jaime = 8/25
Convert it into decimal
Decimal represents the fraction spent by Jaime = 0.32
Therefore, decimal which represents the fraction of the $25.00 Jaime spent is equal to 0.32.
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The Galveston-Port Bolivar ferry take cars across Galveston Bay. One day, the ferry transported a total of 350 cars over a 5-hour period.the ferry took the same number of cars each hour. how many cars did it take each hour? complete the bar diagram to help
Answer:
70 cars
Step-by-step explanation:
if the ferry took the same number of cars each hour, then you would just do 350/5 = 70
Find the missing angles x and y vertical/adjacent angles
Answer: x = 49 degrees, y = 41 degrees
Step-by-step explanation:
Using supplementary angles, we know that x + y + 90 degrees = 180 degrees.
Using complimentary angles, we know that x + 41 degrees = 90 degrees, and x + y = 90 degrees.
Solving first for x,
x + 41 degrees = 90 degrees
x = 90 - 41 degrees
x = 49 degrees
Solving for y,
x + y = 90
Substituting 49 degrees in for x,
y + 49 degrees = 90 degrees
y = 90 - 49 degrees
y = 41 degrees
The ideal height (in centimeters) of a mountain bike frame is about 10 centimeters less than two thirds of the bike riders leg length (in centimeters). Two riders leg length are 80 centimeters and 85 centimeters. To the nearest tenth of a centimeter, how much taller should the taller mountain bike frame be?
The taller mountain bike frame should be 3.4cm taller.
What should be the difference in the frames?The equation that can be used to determine the ideal height of the mountain bike frame is:
Mountain bike frame : (2/3 x length of the bike rider's leg) - 10
Mountain bike frame when leg length is 80cm: (2/3 x 80) - 10 =53.3 - 10 = 43.3 cm
Mountain bike frame when leg length is 85cm: (2/3 x 85) - 10 = 56.7 - 10 = 46.7cm
Difference in mountain bike frame :46.7 cm - 43.3 cm = 3.4cm
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Find the value of k in the data set so that it becomes a linear function.
x = {-2, 2, 6, 10}
f(x) = {k, 2, 7, 12}
k = 3
So if your looking at the test I think your looking at, C.
How many solutions does this question have?
17h - 7 = 10h - 2 + 7h
Our initial equation:
17h - 7 = 10h - 2 + 7h
I want to get variables ("h") on one side, and numbers on the other, hence I will add 2 to both sides to shift numbers to the left side.
17h - 5 = 10h + 7h
Now I want to simplify the "h" on the right side.
17h - 5 = 17h
Now I will move the variable from the left to the right.
-5 = 0
17h - 17h is zero, think of h being equal to 1 if you don't get it.
-5 = 0 is a false inequality, there are no solutions.
THERE ARE NO SOLUTIONS.