Answer:
continuous and the best graph would be a line graph
in november's math meet, the little monsters of beast academy solved $\frac{1}{5}$ of the problems. in march's math meet, they solved $\frac 23$ of the problems. (there might be different numbers of problems asked in november and march.) in total, the little monsters solved $13$ of $30$ problems over both math meets. how many problems were asked at march's math meet?
The little monsters solved 15 problems in March's Math meet
Given, that in November's math meet, the little monsters of beast academy solved 1/5 of the problems.
In March's math meet, they solved 2/3 of the problems.
In total, the little monsters solved 13 of 30 problems over both math meets.
Let, the number of problems in November be n,
and the number of problems in March be m
According to the question,
n + m = 30 as, the total problems be 30
Now, (1/5)n + (2/3)m = 13 as, they solved total 13 problems
n + m = 30 ... (1)
n/5 + 2m/3 = 13 ... (2)
On simplifying Eq (2) becomes
3n + 10m = 195 ... (2)
On multiplying Eq (1) by 3, we get
3n + 3m = 90
3n + 10m = 195
On subtracting, we get
- 7m = - 105
m = 105/7
m = 15
So, the problems asked in March's Math meet be 15.
Hence, 15 problems were asked at March's Math meet.
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someone know answer?
Answer:
whats the question
Step-by-step explanation:
Sabrinder Kaur is moving into a rental house near the USM campus at the beginning of the new semester with three friends. Each of the four friends will have a bedroom that they can redecorate as they wish. Sabrinder wants to walipaper her room and put down a new carpet, and she has identified the following activities and the times they will take to complete the project before the term starts. (a) Construct the PERT/CPM network for this project and identify the project's expected completion time and its critical path. [15 masrks] (b) Explain if activities E and G can be performed simultaneously without defaying the minimum project completion time. [3marks] (c) Explain if one person can perform A,G
3
and I without delaying the project. [3 marks] (d) Explain how much the project would be delayed if activity G was delayed by seven hours and activity L was distayed by four hours
a) The expected completion time of the project is 22 units, and the critical path is A-D-F-G-I-J-L. (b) Activities E and G can be performed simultaneously without delaying the minimum project completion time because they are not on the critical path. Performing them concurrently would not affect the critical path activities.
(c) One person can perform activities A, G, and I without delaying the project because these activities are not dependent on each other. As long as the person can complete these activities within their respective durations, the project timeline will not be affected.
(d) If activity G is delayed by seven hours and activity L is delayed by four hours, the project would be delayed by the longest duration among the critical path activities affected by these delays. In this case, the project would be delayed by seven hours since activity G is on the critical path.
(a) The PERT/CPM network is constructed by identifying the activities and their respective durations. Arrows represent the flow of activities, and nodes represent the start and end points of each activity. By calculating the earliest start time, earliest finish time, latest start time, latest finish time, and slack for each activity, the critical path and expected completion time can be determined.
(b) To determine if activities E and G can be performed simultaneously, we analyze their dependencies and impact on the critical path. If performing both activities concurrently does not affect any activities on the critical path, they can be done simultaneously without delaying the project completion time.
(c) Activities A, G, and I can be performed by one person without delaying the project if they have sufficient time and resources to complete these activities within their durations. As long as the dependencies of these activities are taken into account, one person can handle them simultaneously.
(d) To calculate the delay caused by specific activity delays, we analyze the critical path and identify the activities affected by the delays. The project's delay would be equal to the longest duration among the critical path activities impacted by the delays.
The PERT/CPM network provides a visual representation of the project activities, their dependencies, and durations. By identifying the critical path and expected completion time, the project's timeline can be understood. Analyzing the dependencies and impacts of specific activity delays allows us to determine the potential delays to the project completion. It is important to consider the critical path and dependencies when assessing the effect of delays or performing activities concurrently.
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Fill in the blank The degree change in temperature change is ______ degrees of at 7:00 am, the temperature was 13 degrees F.by 5:00pm the temperature droped to -4 degree F
To answer this we have to draw a number line:
To calculate the change in temperature we have to subtract the final temperature to the initial temperature:
13 - (-4)= 3+4 = 17
The degree change in temperature change is 17 F
Write a function in terms of t that represent the situation (F(x)= a(r)^2)
Sales of $10,000 increase by 65% each year
Explain how you got the answer
A function in terms of t that represents the situation of sales that is of $10,000 and increase by 65% each year is t = 10,000(1.65)ⁿ.
What is function?An element of one non-empty set and an element of another non-empty set are said to have a special relationship when they are connected by a function in mathematics.
An assignment of an element from set Y to each element of set X, where set X is the domain and set Y is the codomain, is what is meant when a function is applied from a set X to a set Y.
We have given that f(t) is given by the Sales of $10,000 increase by 65% each year, i.e.
As sales of $10,000 increase by 65% each year.
The situation is represented by an exponential growth function.
The initial amount \(a = 10,000\)
The rate of growth \(r = 65\% = 0.65\)
Therefore, the function will be:
\(t = a(1 + r)^n\)
Where,
t represents the final amount.
a represents the initial amount
r represents the rate of growth
1+r represents the growth factor
n represents the time.
\(\rightarrow t = a(1 + r)^n\)
\(\rightarrow t = 10,000(1 + 0.65)^n\)
\(\rightarrow t = 10,000(1.65)^n\)
Thus, a function in terms of t that represents the situation of sales that is of $10,000 and increase by 65% each year is t = 10,000(1.65)ⁿ.
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Which proportion could be used to determine if the figures represent a dilation? A rectangle with a length of 5 and width of 2. A rectangle with a length of 8 and width of 3. Two-thirds = StartFraction 5 Over 8 EndFraction Two-thirds = StartFraction 8 Over 5 EndFraction StartFraction 2 Over 8 EndFraction = Five-thirds StartFraction 2 Over 8 EndFraction = three-fifths.
The proportion that could be used to determine if the figures represent a dilation is Two-thirds = StartFraction 5 Over 8 EndFraction.
To determine if the figures represent a dilation, we need to compare the ratios of corresponding sides of the two rectangles. In a dilation, corresponding sides are proportional, meaning that the ratios of their lengths are equal.
In this case, we have the first rectangle with a length of 5 and a width of 2, and the second rectangle with a length of 8 and a width of 3. By comparing the lengths, we have the proportion Two-thirds = StartFraction 5 Over 8 EndFraction.
If the proportion holds true, it means that the lengths are proportional and the figures represent a dilation. The given proportion represents the relationship between the lengths of the corresponding sides of the rectangles, and if it is satisfied, it indicates that the figures are dilations of each other.
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Abigail, ben , carmela, and david are standing in line, in that order, with carmela halfway between abigail and david. if the distance between abigail and ben 3 feet, and the distance between carmela and david is twice the distance between carmela and ben, which equation can be used to find the distance, x, feet , between abigail and david?
The algebraic equation that can be used to find the distance, x, between Abigail and David is x = 3 + 2b.
Let's break down the given information and determine the equation to find the distance, x, between Abigail and David.
Carmela is halfway between Abigail and David: This means that the distance between Abigail and Carmela is equal to the distance between Carmela and David. Let's denote this distance as d.
The distance between Abigail and Ben is 3 feet: Let's denote this distance as 3.
The distance between Carmela and David is twice the distance between Carmela and Ben: Let's denote the distance between Carmela and Ben as b. Therefore, the distance between Carmela and David is 2b.
Based on the given information, we can construct the equation:
Distance between Abigail and David = Distance between Abigail and Carmela + Distance between Carmela and David
x = d + 2b
Now, let's substitute the given information into the equation:
x = d + 2b
x = 3 + 2b
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Which graph represents the linear equation y = −5x − 3?
a graph of a line that passes through the points negative 4 comma 0 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 0 and 0 comma negative 5
a graph of a line that passes through the points negative 1 comma 4 and 0 comma negative 2
Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.
Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.
Answer:
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.
Step-by-step explanation:
Let n and k be positive integers. The value S(n,k) denotes the number of ways to partition {1,…,n} into k unlabelled nonempty parts. For example, S(4,2)=7, because {1,2,3,4} can be partitioned as {1,2}∪{3,4},{1,3}∪{2,4},{1,4}∪{2,3},{1}∪{2,3,4},{2}∪{1,3,4},{3}∪{1,2,4}, and {4}∪{1,2,3} Prove that S(n+1,k)=S(n,k−1)+kS(n,k). (The numbers S(n,k) are called Stirling numbers of the second kind.)
We can prove that S(n+1,k)=S(n,k−1)+kS(n,k).
To prove that S(n+1,k)=S(n,k−1)+kS(n,k), we will use combinatorial argument.
Consider the set {1,2,...,n+1}. We want to partition this set into k unlabelled nonempty parts. There are two cases to consider:
Case 1: The element n+1 belongs to a part of size 1.
In this case, we have n elements to partition into k-1 parts. The number of ways to do this is S(n,k-1) since we are partitioning n elements into k-1 parts.
Case 2: The element n+1 belongs to a part of size m>1.
In this case, we have n elements to partition into k parts, with one part having size m-1. There are k ways to choose the part of size m-1, and m-1 ways to choose the element of that part that will be n+1. The remaining n-m+1 elements are partitioned into k-1 parts. The number of ways to do this is k(m-1)S(n-m+1,k-1).
Therefore, the total number of partitions of {1,2,...,n+1} into k unlabelled nonempty parts is S(n,k-1)+kS(n,k), which proves the desired formula S(n+1,k)=S(n,k−1)+kS(n,k).
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Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.
Answer:
-79.78 (really stinking cold)
Step-by-step explanation:
Solving the equation will go like this:
5/9(F - 32) = -62.1
multiply both sides by 9 to get rid of the fraction
5 (F - 32) = -558.9
divide both sides by 5
F - 32 = -111.78
add 32 to both sides
F = -79.78
I checked the math twice.
Let me know if you have questions.
Determine if the two triangles shown are similar. If so, write the similarity statement.
A) Impossible to determine.
B) ATUS ABSC
C) ATUS-ABCS
D) The triangles are not similar.
Answer:
C) ATUS-ABCS
Step-by-step explanation:
ΔTUS ΔBSC would also be a right answer, but remember that the order of the points matter.
Both of these triangles share a point S, so the order of where the S is placed should be the same.
In this answer, ΔTUS ΔBCS, notice that the S is in the end of the triangle notation.
However, in this answer, ΔTUS ΔBSC, the S is in the end of ΔTUS while the S is in the middle of ΔBSC even S is the correspondent point for both triangles.
Hence, ΔTUS ΔBCS is the correct notation and correct answer.
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Find the y-intercept of the following equation. Simplify your answer.
y = -10x -3/7
Answer: (0, -3/7)
Step-by-step explanation:
The Y-intercept would be the value of y when x is at 0, which is when the Y axis is intercepted. -3/7 is the starting position of the function when the the X = 0.
Print
Select the objects that hold the same amount of liquid as a 96-fluid-ounce jug.
Select all that apply.
А
one 1-quart bottle and eight 8-ounce fluid glasses
B
two 1-quart bottles and two 1-pint bottles
с
two 8-ounce fluid glasses and two 1-pint bottles
three 1-quart bottles
E
two 1-quart bottles
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Question 6 of 19
I
Find the values of x and y.
Answer:
x = 15; y = 21
Step-by-step explanation:
The vertical angles have the same measure.
The sum of the measures of the angles of a triangle is 180 deg.
Left triangle:
4y - 18 + y + 14 + 6x - 11 = 180 Equation 1
Right triangle:
6x - 11 + 81 + x + 5 = 180 Equation 2
Simplify Equation 1.
4y - 18 + y + 14 + 6x - 11 = 180
6x + 5y = 195 Equation 3
Simplify Equation 2.
6x - 11 + 81 + x + 5 = 180
7x = 105
Solve last equation for x.
7x/7 = 105/7
x = 15
Substitute 15 for x in Equation 3 and solve for y.
6x + 5y = 195
6(15) + 5y = 195
90 + 5y = 195
5y = 105
y = 21
Answer: x = 15; y = 21
a sample of size 20 is obtained, by sampling without replacement from a population of echidnas. let x represent the number of echidnas in this sample that have diets consisting mostly of termites. if 40% of the population have diets consisting mostly of termites, what is closest to the sd of x? group of answer choices
The correct option is D. Not enough information given; since to find the standard deviation sd of x, mean population of echidnas is required.
What is termed as the standard deviation?The standard deviation would be a statistic that calculates as the square root of a variance and assessments the dispersion of such a dataset relative to its mean. The standard deviation is defined as the square root of the variance by determining the deviation of each data point from the mean.For the given question,
The formula for the z score is -
z = (x - μ)/σ
where,
Sample size x = 20population percentage = 40%.sample mean μ ; not given.standard deviation σ ; is to be find.The z score can be calculated by the 40% population of the echidnas using the z score table.
But the given equation mean as well as the standard deviation is not given.
Thus, there is not a complete data to find standard deviation the population have diets consisting mostly of termites.
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The complete question is-
a sample of size 20 is obtained, by sampling without replacement from a population of echidnas. let x represent the number of echidnas in this sample that have diets consisting mostly of termites. if 40% of the population have diets consisting mostly of termites, what is closest to the sd of x? group of answer choices-
A. 1.9
B. 2.2
C. 4.8
D. Not enough information given.
Which place value first determines which of the numbers 2.7693 or 2.7602 is the larger number?
•hundredths
•thousandths
• hundredths thousandths
•ten thousandths
Answer:
B. Thousandths
Step-by-step explanation:
Let's compare the numbers:
2.7693
2.7602
^ This is where the numbers first differ.
This number is three spaces to the right of the decimal, so it is in the thousandths place.
A farmer decides to start selling his goats at a constant rate per month. After seven months, he has 280 goats left. After eleven months, he has 224 goats left.
If the farmer plotted a straight line graph of how many goats he had left over time, the slope of the line would be -14.
To find the slope of the line representing the number of goats the farmer has over time, we need to use the formula:
slope = (y2 - y1) / (x2 - x1)Where y2 and y1 are the number of goats the farmer has at the end of two different months, and x2 and x1 are the number of months that have passed since he started selling the goats.
In this case:
y2 = 224 (goats left after 11 months)y1 = 280 (goats left after 7 months)x2 = 11 (months)x1 = 7 (months)So the slope of the line is:
slope = (224 - 280) / (11 - 7)slope = -56 / 4 slope = -14The slope of the line is -14, which means that the number of goats the farmer has decreases by 14 goats per month.
It's important to note that when the value of the slope is negative, it means that the line is going down; this means that the farmer is selling goats at a constant rate.
This question is incomplete and should be written as:
A farmer decides to start selling his goats at a constant rate per month. After seven months, he has 280 goats left. After eleven months, he has 224 goats left. If the farmer made a straight line graph representing how many goats he had left over time, what would be the slope of the line?Learn more about linear equation here: brainly.com/question/14323743
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Write the following in standard form:
Write
A = 4
B = 2
C = 7
Answer:
4x + 2y = 7
Step-by-step explanation:
The standard form equation goes as follows: Ax + By = C
We know what A, B, and C is so all we need to do is fill them in.
if the energy used were used to lift a weight of m = 340 kg, write an equation of the height h that the weight can be lifted in terms of p, δt, and m?
The height in which the weight is lifted is given as h = (P x δt) / m
What is the height h which the weight is liftedThe work done in lifting a weight is given by:
W = F x d
where F is the force required to lift the weight and d is the distance through which the weight is lifted.
The force required to lift the weight is equal to its weight, which is given by:
F = m x g
where m is the mass of the weight and g is the acceleration due to gravity.
The distance through which the weight can be lifted is given by:
d = h
where h is the height to which the weight is lifted.
If the energy used to lift the weight is given by p, and δt is the time taken to lift the weight, then the power used is given by:
P = p / δt
We can use the formula for power to express the force in terms of p and δt:
P = F x v = F x d / δt
F = P x δt / d
Substituting the expressions for F and d into the formula for work, we get:
W = (m x g x h) = (P x δt x h) / d
Solving for h, we get:
h = (P x δt x d) / (m x g)
Substituting the expression for d (d = h), we get:
h = (P x δt x h) / (m x g)
Multiplying both sides by (m x g), we get:
h x m x g = P x δt x h
Dividing both sides by (m x g), we get the final equation:
h = (P x δt) / m
Therefore, the height to which the weight can be lifted (h) in terms of p, δt, and m is given by:
h = (P x δt) / m
where P is the power used to lift the weight, δt is the time taken to lift the weight, and m is the mass of the weight.
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pls help me! 15 points
Answer:
1.414
Step-by-step explanation:
Factor the expression completely.
x^4-17x^2+72
Step-by-step explanation:
x^4-9x^2-8x^2+72
x^2(x^2-9)-8(x^2-9)
(x^2-8)(x^2-9)
(x^2-8)(x+3)(x-3)
what is 11/12 ÷ 1/30 2 1/40 2 3/40 3 1/30 3 2/3
The given expression is
\(\frac{11}{12}\colon\frac{1}{3}\)First, we change 1/3 for its reciprocal to transform the division into a product.
\(\frac{11}{12}\cdot\frac{3}{1}\)Then, we multiply the fractions.
\(\frac{11\cdot3}{12\cdot1}=\frac{33}{12}=\frac{11}{4}\)At last, we transform the fraction into a mixed fraction.
\(\frac{11}{4}=2\frac{3}{4}\)Therefore, the right answer is B. 2 3/4.Solve the linear equation:
7x-3x=5x+2
Answer:
x = -2.
Step-by-step explanation:
7x - 3x = 5x + 2 Subtract 5x from both sides:
7x - 3x - 5x = 2
-x = 2
x = 2 / -1
x = -2.
The distance from the ground of a person riding on a Ferris wheel can be modeled by the equation d equals 30 times the sine of the quantity pi over 20 times t end quantity plus 15 comma where d represents the distance, in feet, of the person above the ground after t seconds. How long will it take for the Ferris wheel to make one revolution?
Answer:
40 seconds
Step-by-step explanation:
You have a Ferris wheel such that the height of a rider is modeled by d=30sin(πt/20)+15, and you want to know the time it takes for one revolution.
PeriodicityThe sine function has a period of 2π. The value of the function when the argument is 2π is the same as when it is zero. The period is the time difference between those argument values. Since the argument is 0 when t=0, we only need to find the value of t that makes the argument 2π:
2π = πt/20
40 = t . . . . . . . multiply by 20/π
The Ferris wheel makes one revolution in 40 seconds.
Identifying a Proportional Relationship
Based on the data, which table shows a proportional relationship?
+
A
3
4
5
с
3
3
3
Oranges
Cups of Juice
Oranges
Cups of Juice
1
2
3
1
2
3
3
3
00
09
3
9
5
7
Oranges
Cups of Juice
Oranges
Cups of Juice
1
N
3
1
2
3
Answer:
Option B
Step-by-step explanation:
Option B shows a proportionality between cups of juice and oranges, this being:
3 * cups of juice = oranges
or similarly: \(\frac{oranges}{cups\,\,juice} =3\)
Find the distance between the two points G(-1,-5) and H(3,-8)
Answer:
5.099
Step by step explanations:
Input Data :
Point 1(xA,yA)(xA,yA) = (4, 3)
Point 2(xB,yB)(xB,yB) = (3, -2)
Objective :
Find the distance between two given points on a line?
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(3−4)2+(−2−3)2(3-4)2+(-2-3)2
= √(−1)2+(−5)2(-1)2+(-5)2
= √1+251+25
= √2626 = 5.099
Distance between points (4, 3) and (3, -2) is 5.099
Solve 2(x + 1) = 2x + 2.
O All real numbers
O No solution
00
01
Please help
Answer:
All real numbers.
Step-by-step explanation:
If both sides, when simplified, equals each other, the answer will be "all real numbers". Simplify the left side. Distribute 2 to all terms within the parenthesis:
2(x + 1) = (2 * x) + (2 * 1) = 2x + 2
2x + 2 = 2x + 2 ∴ A) All real numbers is your answer.
~
PLEASE HELP!!!
Find the volume of each figure. Round your answers to the nearest hundredth, if necessary. Leave your answers in terms of a for
answers that contain 7.
7 m
10 m
please help! asap! thanks! xoxoxo
Answer:
B
Step-by-step explanation:
Don't know how to type those here so see attachment
Answer:
x = √29
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + 2^2 = c^2
25 + 4 = c^2
29 = c^2
√29 = √c^2
√29 = c
x = √29
Which expression can be used to find the area of triangle rst? (8 ∙ 4) - one-half (10 12 16) (8 ∙ 4) - (10 12 16) (8 ∙ 4) - one-half (5 6 8) (8 ∙ 4) - (5 - 6 - 8)
The area of the triangle RTS will be (8×4) - 1/2 (16+12+10). Then the correct option is A.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
We start by drawing a rectangle around the triangle as shown in the diagram below.
Area of the RST = area of the rectangle - (area of triangle A + area of triangle B + area of triangle C)
\(\rm Area\ of\ RST = (8 \times 4) - [(\dfrac{1}{2} \times 8 \times 2) + (\dfrac{1}{2} \times 4 \times 3) + (\dfrac{1}{2} \times 5\times 2)]\\\\\\Area\ of\ RST = (8 \times 4) - \dfrac{1}{2} (16 + 12 + 10)\)
The area of the triangle RTS is (8×4) - 1/2 (16+12+10).
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Answer:Option A
Step-by-step explanation: