Question from Planning and Project management course.
Mr. Hummer works on the task for 3 hours, Mr.Cold works on the task 9 hours, and Mr. Bean works 8 hours on the task. Calculate duration of the task in days? Working day has 8 hours. The task is fixed work. What is task duration if Mr. Bean gets sick?
The duration of the task is 2.5 days
The task duration if Mr. Bean gets sick is 1.5 days
What is an equation?An equation is an expression showing two or more numbers and variables linked together by a mathematical operation. Types of equations are linear, quadratic, cubic and so on depending on the degree of the variable.
Mr. Hummer works on the task for 3 hours, Mr. Cold works on the task 9 hours, and Mr. Bean works 8 hours on the task
Total time spent on task = 3 hours + 9 hours + 8 hours = 20 hours
Working day has 8 hours, therefore:
1 working day = 8 hours
20 hours = 20 hours * 1 working day per 8 hour = 2.5 days
If Mr. Bean is sick:
Total time spent on task = 3 hours + 9 hours = 12 hours
12 hours = 12 hours * 1 working day per 8 hour = 1.5 days
The task duration if Mr. Bean gets sick is 1.5 days
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v= u + at
work out the value of v
Answer:
I don’t even know
Step-by-step explanation:
A telephone company charges $30 a month and gives the customer 200 free minutes. After the 200 min, the company charges $0.03 a minute.
(a) Write the function using function notation.
(b) Find the cost for talking 350 min in a month
(c) Find the number of minutes used if the monthly charge is $34.68
Answer:
(a)
f(x) = 30, for x ≤ 200
f(x) = 0.03(x - 200) + 30, for x > 200
(b) $34.50
(c) 356
Step-by-step explanation:
Let x = number of minutes.
(a)
f(x) = 30, for x ≤ 200
f(x) = 0.03(x - 200) + 30, for x > 200
(b)
Here, x = 350, so x > 200.
f(x) = 0.03(x - 200) + 30
f(350) = 0.03(350 - 200) + 30
f(350) = 0.03(150) + 30
f(350) = 4.5 + 30
f(350) = 34.5
$34.50
(c)
f(x) = 0.03(x - 200) + 30
0.03(x - 200) + 30 = 34.68
0.03(x - 200) = 4.68
x - 200 = 156
x = 356
A catapult launches a pumpkin from the base of a hill. The
hill follows an incline with the height in meters, y, in terms
of horizontal distance in meters, x, given by the equation
y=0.9x. The height of the pumpkin, as it is launched up-
hill, is given by the function y = -0.1x² +4.9x¸
What is the height, in meters, where the pumpkin lands on
the hill?
A catapult launches a pumpkin from the base of a hill. The hill follows an incline with the height in meters, y, in terms of horizontal distance in meters, x, given by the equation y=0.9x. 40m is the height, where the pumpkin lands on the hill.
What is horizontal distance?The term "horizontal distance" refers to the separation between two places measured with a slope of 0%. Vertical distance is the distance following the direction of gravity, while horizontal distance is the distance along the ground surface. The distance between an observer and a building represents as that of an example of horizontal distance, and the structure's height serves as an illustration of vertical distance. A projectile's range is the horizontal distance it covers. Horizontal refers to something that is parallel to it. Anything that forms a 90-degree angle (right angle) with the horizontal or the horizon is referred to as vertical since it is the opposite of the horizontal. The line that spans from left to right is therefore considered to be horizontal.
Given that,
The hill follows an incline with the height in meters y,
in terms of horizontal distance in meters x,
The given equation becomes: y = 0.9x
The height of the pumpkin, as it is launched up hill, is given by the function:
y = -0.1x² + 4.9x
now, finding point of intersection, we get:
0.9x = -0.1x² + 4.9x [as y = 0.9x]
or, 0.1x² - 4x = 0
or, x (0.1x - 4) = 0
or, x = 0 (this is not possible)
and 0.1x = 4
or, x = 40
40 is the height, in meters, where the pumpkin lands on the hill.
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In 2018 the Social Security Percent was
6.2% up to the Social Security Maximum
Taxable Income of $128,400.00. Joe's
annual salary that year was $256,750.00.
How much did Joe not have to pay because
his salary was over the maximum?
The amount of money that Joe needs to pay would be = $15,918.50
How to calculate the total payment amount?In the year 2018, the percentage of social security = 6.2%
Joe's taxable income= $128,400.00
The annual salary of Joe = $256,750.00
The amount of money that joe should not pay is 6.2% of $256,750.00.
That is;
= 6.2/100 × 256,750.00
= 1591850/100
= $15,918.50
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Gareth has.
total value
Liliana spends $4.00 on 2 boxes of popcorn and 2 drinks. Nadette spends $5.25 on 2 boxes of popcorn and 3 drinks. The prices of the popcorn and drinks can be determined by solving the system of equations shown.
(2p + 2d = 4.00
2p + 3d = 5.25
1. What variable will you eliminate first? How?
The cost of each popcorn is $0.75 while the cost of each drink is $1.25
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on
Let p represent the number of popcorn and d represent the number of drinks that Liliana bought.
Liliana spends $4.00 on 2 boxes of popcorn and 2 drinks, hence:
2p + 2d = 4 (1)
Nadette spends $5.25 on 2 boxes of popcorn and 3 drinks, hence:
2p + 3d = 5.25 (2)
To solve using elimination method, subtract equation 1 from 2, hence:
d = $1.25
substitute the value of d in equation 1 to get p:
2p + 2(1.25) = 4
p = $0.75
The value of p and d are $0.75 and $1.25 respectively
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Two cars start from towns 660 mi apart and travel toward each other. They meet after 6 hr. Find the speed of each car if one travels 10 mph faster than the other.
The speed of the cars are 50mph and 60mph
How to determine the speed of each carLet's call the speed of the slower car "x". The faster car is traveling at "x + 10 mph".
The total distance both cars travel is 660 miles, and the time it takes for them to meet is 6 hours.
Using the formula for distance = rate x time, we can set up the equation:
x * 6 + (x + 10) * 6 = 660
Expanding and simplifying, we get:
12x + 60 = 660
Subtracting 60 from both sides:
12x = 600
Dividing both sides by 12:
x = 50 mph
So the slower car is traveling at 50 mph and the faster car is traveling at 60 mph.
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A trucker wanted to track how long it took to reach Bismarck. When she started out, her clock
read 7:00AM. When she refueled, the clock read 8:00AM. After reaching Bismarck, the clock read
10:00AM. How many hours did it take this trucker to reach Bismarck?
Answer:
Below
Step-by-step explanation:
From 7 to 10 AM is THREE hours (if the times are all on the same day)
A long-distance calling plan charges 99 cents for any call up to 20 minutes in length and 7 cents for each additional
minute.
(a)Write a function to represent the cost, C, of a call as a function of its length tin minutes.
b)State the domain and range of the function.
c)Determine the cost of a call that lasts 12minutes.
(d)Determine the cost of a call that lasts 1 hour.
Answer:
a) Let's call the length of a call "t" (in minutes). The cost of a call can be represented as follows:
C(t) = 0.99 if t <= 20
C(t) = 0.99 + 0.07(t - 20) if t > 20
b) The domain of the function is all non-negative real numbers (t >= 0), since a call can have any non-negative length in minutes. The range of the function is all non-negative real numbers, since the cost of a call can never be negative.
c) If a call lasts 12 minutes, then the cost would be 0.99:
C(12) = 0.99
d) If a call lasts 1 hour (60 minutes), then the cost would be:
C(60) = 0.99 + 0.07(60 - 20) = 0.99 + 0.07(40) = 0.99 + 2.80 = 3.79
Step-by-step explanation:
alexia has 22$ to spend at the fair. the entrance fee to the fair is 10$ and the rides cost 3$ each. how many rides can alexia go on to spend exactly 22$
Answer: 4
Step-by-step explanation:
Alexia has 22$ total:
Therefore, after taking away the 10$ dollar admission fee, she has 12$ left.
12$ dolars divided by 3$ dollars per ride equal 4 rides.
The answer is 4 rides to spend exactly 22$
Please Help ASAP - 100pts + Brainliest if Correct!
The value of y when x = 28 is given as follows:
y = 0.5.
What is a proportional relationship?A direct proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
An inverse proportional relationship is defined as follows:
y = k/x.
When x = 7, y = 2, hence the constant k is obtained as follows:
2 = k/7
k = 14.
Hence the equation is:
y = 14/x.
When x = 28, the value of y is obtained as follows:
y = 14/28
y = 0.5.
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3. Which expressions have the same solution as -4.
a.
-4.5
-3 -7
-5/?
Select all that apply.
4(-6), 6(-4), and 12(-2). (-2). Each one adds up to -24. I am aware of this because if you multiply the two numbers and one of the numbers is negative, the result will also be negative. The item will be favorable if there are just two drawbacks.
What is meant by negative numbers?Describe how a negative number is similar to having no money at all and owing someone money. It is a negative number. Therefore, the value is less or less, the larger the numeral. If a number is more than zero, it is positive. Less than zero makes a number negative. If a number is higher than or equal to 0, it is considered to be non-negative. Any number that is less than or equal to zero is considered non-positive. Around 200 BCE, China was the first place to use negative numbers. They stood in for the cost of an item being bought or a debt. In any mathematical work, Diophantus was the first to discuss negative numbers.To learn more about negative numbers, refer to:
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find the least common denominator for each pair of fractions
The least common denominator for each pair of fractions is as follows:
33.) = 6
33.) = 634.) = 7
33.) = 634.) = 735.) = 30
What is least common denominator ?The least common denominator is defined as the lowest number that can divide a given set of numbers.
For ½ and ⅓, the leats common denominator would be 2×3 = 6For 4/7 and 3/2828= 2×2×7
7 = 7
The least common denominator would be 7
For 1/5 and 7/6, the least common multiple would be = 30Learn more multiplication here:
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simplify b^n-2*b^n-3
The simplified form of the exponential expression [tex]b^{n- 2}\times{b^{n-3} = b^{2n - 5}[/tex].
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
Given, An exponential expression [tex]b^{n- 2}\times{b^{n-3}[/tex].
We know, Same base multiplication is exponent addition.
Therefore,
[tex]b^{n- 2}\times{b^{n-3} = b^{n - 2 + n - 3}[/tex].
[tex]b^{n- 2}\times{b^{n-3} = b^{2n - 5}[/tex].
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PLS HELP ME SOLVE THESE TWO QUESTIONS IM JUST NOT GETTING IT
Answer:
Below
Step-by-step explanation:
The two angles at U are equal....so the triangles have TWO equal angles: 72° and the angles at U
Answer A
Geometric mean is the square root of the two numbers after multiplying them sqrt ( 48* 12) = sqrt( 576) = 24
HELP PLSS (show how to solve) for 59 points
Answer: Dude this is pretty easy!
Step-by-step explanation: Use the process of elimination.
Hint: It's just subtraction or addition. Trust me it's easy.
Answer:
Step-by-step explanation:
1/4 min, 15 sec
Mr. Leake is installing a goldfish pond in his backyard. Goldfish cost $3.45 each. If he waits till next week they will cost $2.85. What is the percent change from this week till next? (round to the nearest whole percent)
PLEASE I WILL GIVE BRAINLEAST PLUS 50 POINTS
Answer:
Step-by-step explanation:
As an example, let's say I have a pond 7 feet long, 6.5 feet wide, and 3 feet deep. That gives me approximately 1,000 gallons of water. The average recommended gallons per inch of fish is 10. To calculate how many inches of fish I can fit in my pond I would divide 1,000 by 10: 1,000/10 = 100.
I know it is not the answer but I hope this helps you.
Choose if simple or compound. If compound which type: *Conjunction *Disjunction *Conditional *Biconditional a. Twilight is my favorite time to set on the porch (simple or compound) b. I will get coffee if and only if I want to stay awake. c. Lemons are yellow and limes are green.
We can classify them as -
Twilight is my favorite time to set on the porch : Simple.I will get coffee if and only if I want to stay awake : Conditional.Lemons are yellow and limes are green : Conjunction.What are the types of propositional logics?There are six primary statement forms in Propositional Logic -
SimpleConjunctionDisjunctionConditionalBiconditionalNegationGiven are the statements as -
Twilight is my favorite time to set on the porch.I will get coffee if and only if I want to stay awake. Lemons are yellow and limes are green.We can classify them as -
Twilight is my favorite time to set on the porch : Simple.I will get coffee if and only if I want to stay awake : Conditional.Lemons are yellow and limes are green : Conjunction.Therefore, we can classify them as -
Twilight is my favorite time to set on the porch : Simple.I will get coffee if and only if I want to stay awake : Conditional.Lemons are yellow and limes are green : Conjunction.To solve more questions on propositional logics, visit the link below-
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QUESTION 9 1 POINT
Determine the interval(s) for which the function shown below is decreasing.
A function is decreasing if as x-values increase, the y-values decrease. Graphically this means that if you move from left-to-right, the graph goes down.
The downhill portion of this curve is on the interval [tex](1,\infty)[/tex].
if cos theta =3/4 find sin (90°-0)
Answer:
Below
Step-by-step explanation:
sin (90 -0) = sin (90) = 1
Remember sin^2 + cos^2 =1
for theta sin2 + (3/4)^2
sin^2 = 1 - 9/16 = 7/16
sin (theta) = ± sqrt(7) /4
help pls .............................
a) The measure of angle 3 is given as follows: m < 3 = 3x + 105.
b) The value of x is given as follows: x = 10.
c) It is not possible for a triangle to have side lengths 5, 8 and 14, as the sum of the lengths of the two smaller sides would be less than the length of the larger side.
How to obtain the angle measures?The measure of angle 1 is given as follows:
m<1 = 3x + 15.
As the sum of the measures of the internal angles of a triangle is of 180º, and there is a right triangle, we have that angles 1 and 2 are complementary, hence:
m < 1 + m < 2 = 90
3x + 15 + m < 2 = 90
m < 2 = 75 - 3x.
An angle is always supplementary with it's exterior angle, hence the measure of angle 3 is obtained as follows:
m < 2 + m < 3 = 180
75 - 3x + m < 3 = 180
m < 3 = 180 - 75 + 3x
m < 3 = 3x + 105.
For an isosceles right triangle, the two non-right angles measure 45º, hence the value of x is obtained as follows:
3x + 15 = 45
3x = 30
x = 30/3
x = 10.
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Answer this please. Explain your reasoning
Answer:
a. Point C is at (8,8)
b. See image/expl
c. AngleABC = 140°
Step-by-step explanation:
You can just count squares to find the slope of AD. To find points along AD, go
UP1 and OVER4
UP1 and OVER4 is the slope 1/4.
Start from B and go
UP1 and OVER4.
Parallel lines have the same slope. Perpendicular lines have slopes with opposite sign and "flipped". To make CD perpendicular to AD the slope should be -4/1 or 4/-1 is the same thing. To find C go from D
UP4 and BACK1
this is the slope 4/-1
1/4 and 4/-1 are negative reciprocals (opposite sign and flipped over) so the lines will be perpendicular.
You cab use this explanation for part b. Or you the slope calculations using the coordinates. See image.
part c, see image.
The pavement at the new shopping mall is being laid. Which transformation is applied from brick A to brick B?
A. reflection
B. rotation
C. dilation
D. translation
Since the pavement at the new shopping mall is being laid, a transformation that is applied from brick A to brick B include the following: D. translation.
What is a transformation?In Mathematics, a transformation can be defined as the movement of a point from its original (actual) position to a final (new) location. This ultimately implies that, when an object (pre-image) is transformed, all of its points would be transformed as well to form a new image such as the following:
ReflectionTranslationRotationDilationWhat is a translation?In Mathematics, a translation can be defined as a type of transformation which moves every point of the object in the same direction, as well as for the same distance.
In conclusion, a translation was applied to both brick A and brick B.
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11. Check for Reasonableness Santiago wants to display categorical data
in a circle graph. He divides the circle graph into 5 equal sections because
the data set has 5 groups. Do you agree? Justify your answer,
Answer: Not necessarily. Dividing the pie chart into 5 equal sections might be a way to display categorical data if the number of categories is 5. However, dividing it into 5 sections might not be the best way to display the data if the number of categories is different than 5 or if any category has a significantly higher or lower proportion than the others. In this case, it may be more appropriate to use a different scale to display the correct ratio. It is important to consider data distribution and visualization clarity before choosing how to display categorical data.
pilar said that the expressions -4x + 3x + 2 and -x + 2 are equivalent. is pilar correct. explain
Yes, this is correct. If you solve the first equation it equals the second equation.
Find equation of the line shown
The equation of the line is y = x + 6
How to detemrine the equatiin of the lineFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following highlights
The graph intersect the y-axis at y = 6
This means that the intercept c is 6
Also, as x changes by 1, the y values changes by 1
This mean sthat the slope is 1
So, we have
y = mx + c
This gives
y = x + 6
Hence, the equation is y = x + 6
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The linear equation on the graph can be written as:
y = (3/2)*x + 6
How to find the equation in the graph?A general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through two points (x₁, y₁), then the slope will be:
a = (y₂ - y₁)/(x₂ - x₁)
In this case we can see the points (0, 6) (so the y-intercept is b = 6) and (4, 10)
Then the slope will be:
a = (10 - 6)/(4 - 0) = 6/4 = 3/2
Then the linaer equation is:
y = (3/2)*x + 6
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Graphing
100 POINT FOR HELP!!
Miguel bought a scarf. He paid $9.92 and received $0.01 in change. How much did the scarf cost?
Answer:
The scarf cost:
$9.91
Step-by-step explanation:
9.92 - 0.01 = 9.91
what does this equal
Answer: 3 1/2
Step-by-step explanation:
Since positive and a negative make a negative the product would be a negative. Now we multiply 2/1 (because is the same as 2) times - 7/4, which gives us - 14/4. -14/4 = 3 1/2. Have a nice day ;)
A store specializing in mountain bikes is to open in one of 2 miles if the first mall selected the store anticipates a yearly profit of $300,000 if successful and yearly loss of $100,000 otherwise. The probability of success is 1/2 if the second most selected it is estimated that the yearly profit will be $200,000 if successful otherwise the annual loss will be $60,000. The probability of success at the second mall is 3/4 which mall should be chosen in order to maximize the expected profit?
The probability of success at the second mall is 3/4 which mall should be chosen in order to maximize the expected profit $135,000.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
First mall:
Profit if successful = $300,000
Loss if otherwise = $100,000
Probability of success = 1/2
Second mall:
Profit if successful = $200,000
Loss if otherwise = $60,000
Probability of success = 3/4
If probability of profit 'P(profit)' = 3/4
Then,
Probability of loss P(loss) = 1 - P(profit)
P(loss) = 1 - 3/4 = 1/4
Expected profit:
= [P(profit) x profit] + [P(loss) x loss])
= (0.75 x $200,000) + (0.25 x (-$60,000))
= 150,000 - 15000
= $135,000
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