The lower bound for the number of minutes that it takes for all people to leave is of:
70 minutes.
How to obtain the lower bound for the number of minutes that it takes for each person to leave?At a football match, there are 29 800 people, correct to the nearest 100. The fewest number of people that can be there, hence, is of:
29,750.
(as 29749 would be rounded to 29,700).
At the end of the football match, the people leave at a rate of 400 people per minute, correct to the nearest 50 people, hence the fastest rate is given as follows:
424 people per minute.
(as 425 people would be rounded to 450).
Hence the time it would take is obtained applying the proportion as follows:
29750/424 = 70 minutes.
(lower bound is fewest time, hence lowest number of people leaving at the fastest rate).
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brainy plot and labels points P (-5/2), Q (2 3/4), R(1.25), and S(-3.5) on the number line
Answer:
Step-by-step explanation:
To plot points P (-5/2), Q (2 3/4), R(1.25), and S(-3.5) on a number line, we can simply draw a horizontal line and mark off the positions of the points. The numbers on the number line will represent the values of the x-coordinates of the points.
[asy]
unit size(1cm);
draw((-7,0)--(5,0));
draw((-7,0)--(-7,1)--(5,1)--(5,0)--cycle);
dot("$P$", (-5/2,0), S);
dot("$Q$", (2 3/4,0), S);
dot("$R$", (1.25,0), S);
dot("$S$", (-3.5,0), S);
[/asy]
On the number line, point P is located at -5/2, point Q is located at 2 3/4, point R is located at 1.25, and point S is located at -3.5.
What is Destiny's hourly wage?
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
or in this case, hourly wage :)
to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{200}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{200}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{10}-\underset{x_1}{0}}} \implies \cfrac{ 200 }{ 10 } \implies \cfrac{20}{1}\cfrac{dollars}{hour}\qquad \textit{\$20 per hour}[/tex]
F(x)=5-3x find f(x+2)
Answer:
f(x + 2) = - 3x - 1
Step-by-step explanation:
substitute x = x + 2 into f(x) , that is
f(x + 2)
= 5 - 3(x + 2)
= 5 - 3x - 6
= - 3x - 1
Denise is comparing a salaried job offer for $1,500 a week to a wage of $55 per hour. Which equation would help her find the "break-even point" where each offer would be equal?
A. 1500 = 55 + 2H
B. 1500÷10 = 55H
C. 1500 = 55H
D. 1500H = 55(40)
E. 1500-H= 55 x 8
Therefore , the solution to the given problem of inequality comes out to be 120d + 1,500 = 110d + 2,500.
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right
Here,
Given : $1,500 a week to a wage
$55 per hour
Thus ,
Taking all the information in concern
We get,
where d is the is he number of hour
120d + 1,500 = 110d + 2,500
Therefore , the solution to the given problem of inequality comes out to br
120d + 1,500 = 110d + 2,500.
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Why do we use similarity transformation?
The goal of using similarity transformations is to make the evaluation of a matrix's eigenvalues less complicated. In fact, the computation of the eigenvalues would be instantaneous if a given matrix could be translated into a similar matrix in diagonal or triangular form.
A geometric similarity or a matrix transformation that produces a likeness are both covered by the term "similarity transformation."
A conformal mapping with a similarity transformation is one whose transformation matrix A' has the formula A'=BAB⁻¹, where A and A' are referred to as similar matrices.
Space-based items are converted to equivalent objects by similarity transformations. Fractals and iterated function systems have a lot to do with similarity transformations and the idea of self-similarity.
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What is the coefficient of the variable in the expression 4 − 3x − 7 6 3 points?
The coefficient of the variable x in the expression 4a+3x +a is 3
Given that,
The expression is 4a+3x +a which can be simplified as 4a+3x +a
To find : The coefficient of the variable x in the expression
The coefficient of x in 4a+3x +a is 3
A number multiplied by a variable is referred to as the coefficient of a number. For instance, the x2 coefficient in the formula 6x2+99 is 6
Coefficient is the number that is beside the variable in the equation.
As we can see that the term that is in multiplication with x is 3
Hence, the coefficient of x in the equation is 3
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PLEASE HELP THIS IS URGENT!!!!!! Decide which of the following points are on the graph of the function y=2x+1
(0.1), (2,5), (1/2,2), (-1,-1) are the points on graph.
What is a graph, exactly?In mathematics, a graph is a visual representation or diagram that shows data or values in an ordered way. The relationships between two or more things are frequently represented by the points on a graph.
what a graph example?A graph is a type of non-linear data structure composed of nodes, also known as vertices and edges. Any two nodes, also referred to as vertices, in a graph are connected by edges. The vertex numbers in this graph are 1, 2, 3, and 5, and the edge numbers are 1, 2, 1, 3, 2, 4, and 5, respectively.
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I need help with question 9. It’s all about functuons
Answer:
gay
Step-by-step explanation:
gayayayayayayaydyfyfaygaygagya
Write the expression as a unit rate.
Joyce painted 8 window frames in 5 hours while earning money for college.
What was her painting rate in window frames per hour?
What was her painting rate in hours per window frame?
joyce's painting rate in window frames per hour is 1.6 and her painting rate in hours per window frame 0.625.
What is the unit rate?A unit rate is a ratio between two separate units with one as the denominator. Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc. The most fundamental and historically significant field of mathematics is arithmetic, which is also the one we use the most frequently in daily life.
Given, Joyce painted 8 window frames in 5 hours while earning money for college.
Her painting rate in window frames per hour is = 8 /5
Her painting rate in window frames per hour is = 1.6
Her painting rate in hours per window frame is = 5/8
Her painting rate in hours per window frame is = 0.625
therefore, The rate at which Joyce paints is 1.6 window frames per hour and 0.625 hours per window frame.
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Select the values that make the inequality 5u> -80 true. Then write an equivalent
inequality, in terms of u.
(Numbers written in order from least to greatest going across.)
-26
0 -17
0-13
0 -21
☐ -16
Submit Answer
0 -11
Equivalent Inequality: u
□ -19
0-15
-6
The value u > -16 that makes the inequality 5u > -80 is true.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
We have the inequality,
5u > -80
To find the solution set of the inequality;
Divide by 5 to both sides,
5u/5 > -80/5
u > -16.
That means, the inequality is true for u > -16.
Therefore, the inequality is true for u > -16.
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The table below shows the number of animals at a local petting zoo.
Animal
Goats
Number
3
Ponies
3
Rabbits
8
Sheep
6
0/1
Write the ratio of ponies and goats to rabbits and
sheep.
You may write the ratio in ANY of the three forms. Remember to REDUCE the ratio, if
possible.
Answer:
3/7
Step-by-step explanation:
3 ponies + 3 goats = 6 total
8 rabbit + 6 sheep = 14 total
6/14 simplified is 3/7.
Pls help me do this i need hwlp if any one can figure if out
Considering that the quadrilateral EFGH is similar to quadrilateral IJKL the side LI is calculated to be
30.6How to find the side LIThe side LI is calculated using the concept of similar polygons. This concept allows for the sides to be proportionally equal to each other.
This implies that the factor used for any side will produce same result
let the factor be r and using side HG and JK to solve for the factor r
HG * r = JK
where
HG = 16
JK = 51
substituting the values and solving for r
HG * r = JK
16 * r = 51
r = 51/16
and HE * r = LI
where HE = 9.6
LI = 9.6 * 51/16
LI = 30.6
hence side LI = 30.6
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we roll a fair 6 sided die 5 times. what is the probability that we get a one or a two in exactly 3 of the 5 rolls
The probability is 5/32.
Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
To roll exactly 4 odds out of 5 rolls is [tex](\frac{1}{2} )^{4}\frac{1}{2}[/tex] where the odds are 1, 3, and 5 for 3/6=1/2 and the other 1/2 is the probability of rolling an even since we want exactly 4 odds.
Since there are 5 dice being rolled there are 5 ways to order them.
So the probability is 5/32.
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13. Solve for x. (show work)
Answer:
The value of x is 12.
i think it is correct.
Blank times 9 minus blank times 4 equals blank minus blank equals blank. You have to use the numbers 9,7,4,3 only.
The value for the blanks after calculating the as per the given data is found to be as 4 and 9 respectively.
On solving the question we will get the answer of the final blank as 0.
The question can be rephrased as ,
__x 9 - __ x 4 = ___ - ___ = ___.
Now if we will place 4 in first blank and 9 in second blank we will get the result as follows,
4 x 9 - 9 x 4 = 36 - 36 = 0
Therefore , we will get our desired answer.
A relationship between two quantities or, more broadly, two mathematical expressions that asserts that the quantities have the same value or that the expressions reflect the same mathematical object is referred to as equality.
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find the area of the region enclosed by one loop of the curve. r = sin(6θ)
Area of the region enclosed by one loop of the curve is pi/288.
To find the area of the region enclosed by one loop of the curve, we can use the formula for the area of a polar region:
A = 1/2 * ∫(r^2)dθ
We can use this formula with the equation for r given:
A = 1/2 * ∫(sin^2(6θ))dθ
This integral can be simplified by noting that sin^2(x) = (1/2)(1 - cos(2x))
Thus,
A = 1/2 * ∫(1/2)(1 - cos(12θ))dθ
This integral can be solved by noting that the antiderivative of (1/2)(1 - cos(12θ)) is (1/24)(sin(12θ) + θ).
Therefore, the area enclosed by one loop of the curve is
A = 1/2 * ((1/24)(sin(12θ) + θ)) evaluated from 0 to pi/6
A = (1/48)(sin(2pi) + pi/6)
= (1/48)(0 + pi/6)
= pi/288
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Zachary plans to collect $0. 30 from each person that comes to the party to cover the cost of the candy.
How many people will need to come to the party to cover the entire cost of the candy
In order to pay for the sweets, Zachary intends to take $0.30 from each guest that attends the celebration. To pay for the total cost of the sweets, 4 guests are required to attend the party.
How much candy per person?We suggest 8 ounces of sweets per visitor when utilizing ounces. A 5 pound bag of candy will thus be enough to satisfy 10 people. The candy bar may have been distributed evenly in the following manner. Since there are four individuals, split each according to who will receive. About half a pound of sweets is given to each visitor. Therefore, you should buy 50 pounds of sweets at the very least if 100 people are expected.
Setting up the confectionery should minimize guest contact with it for hygienic reasons. Tongs and candy scoops in your theme-coordinating color should be provided for bulk candies. Since you don't want your guests to consume too much sugar, smaller serving utensils are preferred.
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Which one of these is correct? Could you explain
GEOMETRY:
I might just be slow but I don't understand what this question is asking at all. Can someone help?
Answer:
[tex]b = 90[/tex]
[tex]d = 100[/tex]
[tex]c = 80[/tex]
Step-by-step explanation:
The problem is asking for the values of the variables [tex]b[/tex], [tex]c[/tex], and [tex]d[/tex] in the given parallelogram with angles [tex]d\textdegree[/tex], [tex]c\textdegree[/tex], [tex](b-10)\textdegree[/tex], and [tex](b+10)\textdegree[/tex].
To solve for these variables, we can construct three equations using the knowledge that any two adjacent angles of a parallelogram are supplementary (their measures add to 180º).
The first equation shows that the top two angles are supplementary:
[tex]d\textdegree + c\textdegree = 180\textdegree[/tex]
The second equation shows that the bottom two angles are supplementary:
[tex](b-10)\textdegree + (b+10)\textdegree = 180\textdegree[/tex]
The third equations shows that the left two angles are supplementary:
[tex]d\textdegree + (b-10)\textdegree = 180\textdegree[/tex]
First, we can solve for [tex]b[/tex] in the second equation using simple algebraic manipulation.
[tex](b-10)\textdegree + (b+10)\textdegree = 180\textdegree[/tex]
[tex](b+b)\textdegree + (10-10)\textdegree = 180\textdegree[/tex]
[tex]2b\textdegree = 180\textdegree[/tex]
[tex]b\textdegree = 90\textdegree[/tex]
[tex]b = 90[/tex]
Using this [tex]b[/tex]-value, we can solve for [tex]d[/tex] by rewriting the third equation, plugging [tex]90[/tex] in for [tex]b[/tex]:
[tex]d\textdegree + (b-10)\textdegree = 180\textdegree[/tex]
[tex]d\textdegree + (90-10)\textdegree = 180\textdegree[/tex]
[tex]d\textdegree + 80\textdegree = 180\textdegree[/tex]
[tex]d\textdegree = 100\textdegree[/tex]
[tex]d = 100[/tex]
Finally, we can solve for [tex]c[/tex] in the first equation by plugging [tex]100[/tex] in for [tex]d[/tex]:
[tex]d\textdegree + c\textdegree = 180\textdegree[/tex]
[tex]100\textdegree + c\textdegree = 180\textdegree[/tex]
[tex]c\textdegree = 80\textdegree[/tex]
[tex]c = 80[/tex]
Suppose a historian wants to estimate the true mean number of children per household in New York City in 1900. The historian randomly selects 200 household census records from New York City. She records the number of children residing in each household. The historian then computes the mean number of children per household among these 200 households.
The data which is given by the historian is used to find the population, variable, parameter, sample, data, and statistic. He estimated the mean number of children per household in New York City in 1900.
Population - all of the households in New York City in 1900.
Variable - a quantity equivalent to the number of children in a randomly selected household
Parameter - the mean number of children per household in New York City in 1900
Sample - the 200 households selected by the historian
Data - the 200 records collected by the historian
Statistic - the mean number of children per household in the historian's sample.
Complete question:
Suppose a historian wants to estimate the true mean number of children per household in New York City in 1900. The historian randomly selects 200 household census records from New York City. She records the number of children residing in each household. The historian then computes the mean number of children per household among these 200 households. Classify each description as one of a parameter, variable, population, sample, data, or statistic.
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what is the next term in this sequence of cube numbers?
1,8,27,64...
Answer: 125
Step-by-step explanation:
The first term is 1³. The second term is 2³. The third term is 3³. And the Fourth term is 4³.
So the pattern is n term = n³
plug in 5
= 5³
= 125
You have $15 in savings. Your friend has $25 in savings. You both start saving $5 per week. Write a system of linear equations that represents this situation. Will you ever have the same amount of savings as your friend? Explain.
In the figure, mzEDF = 42°. Which other angle must have the same measure?
OA. ZGDF
B. ZEGF
OC. ZDEG
D.
LEGD
D
42°
C
E
IL
In the quadrilateral, ∠GEF will be same as angle ∠EDF=42°°
A quadrilateral shape is what?A polygon with four sides, four angles, and four vertices is called a quadrilateral. The Latin words quadri, which means four, and latus, which means side, were combined to create the English word quadrilateral. A quadrilateral is shown in the above image as an example.
A parallelogram is a trapezoid, right?A parallelogram has two pairs of parallel sides, whereas a trapezoid only has one pair. Consequently, a parallelogram is a trapezoid.
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Answer:
EGF
Step-by-step explanation:
Got it right on plato.
Determine which point from the specified that satisfies each system of equations
The required point that satisfies each system of equation is (12, -1). Option B is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
To equations are given as,
y = -1/3x + 3 - - - - (1)
y = -3/4x + 8 -- - - - (2)
From equation 1 and 2
-1/3x + 3 = -3/4x + 8
3/4x - 1/3x = 8 - 3
9x - 4x / 12 = 5
5x = 60
x = 12
Now, to evaluate the y ordinate put the above x in equation 1
y = -1/3(12) + 3
y = -4 + 3
y = -1
Thus, the required point that satisfies each system of equation is (12, -1). Option B is correct.
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HELP PLEASE IVE BEEN STUCK ON THIS PROBLEM ALL DAY
The table that is a justification for the given solution to the system of equations is table 1
How to determine the table that bears the correct values?The two linear equations are
y=4x-9 and
y=2x-5
We that the following points for x : -1, 0, 1, 2, 3
When we substitute the values in the two equations we will have
x y₁ y₂
-1 -13 -9
0 -9 -5
1 -5 -3
2 -1 - 1
3 3 1
Conclusively the values of y₁, and y₂ are shown in the table above
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If the ratio of the model car was 2:35 then what would be the actual length of the car??
PLEASE HELP AND SHOW WORK
The actual length of the car based on the model will be 350 inches.
How to calculate the ratio?Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
Since the ratio of the model car was 2:35. If the model is 20 inches long, the actual length of the car will be:
= 20 ÷ 2/35
= 20 × 35/2
= 350 inches.
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Complete question
The ratio of the model car was 2:35. If the model is 20 inches long. then what would be the actual length of the car??
A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $20 and then an additional 7 cents per minute of use. In Plan B, the customer pays a monthly fee of $26.30 and then an additional 4 cents per minute of use. For what amounts of monthly phone use will Plan A cost no more than Plan B? Use m for the number of minutes of phone use, and solve your inequality for m.
34.7 is the monthly phone use will Plan A cost no more than Plan B and 2.1 is the value of m in the inequality.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
In Plan A, the customer pays a monthly fee of $20 and then an additional 7 cents per minute of use
20+7m
In Plan B, the customer pays a monthly fee of $26.30 and then an additional 4 cents per minute of use
26.3+4m
We need to find the amounts of monthly phone use will Plan A cost no more than Plan B
20+7m<26.3+4m
7m-4m<26.3-20
3m<6.3
m<2.1
Hence, 34.7 is the monthly phone use will Plan A cost no more than Plan B and 2.1 is the value of m in the inequality.
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what is -5.6 opposite ?
Answer: 5.6
Step-by-step explanation:
the opposite of an negative number...
So your answer would be....
=5.6
Answer:
[tex]5.6[/tex] or [tex]\dfrac{1}{-5.6}[/tex]
Step-by-step explanation:
The additive inverse of [tex]-5.6[/tex] is [tex]-1 \cdot -5.6 = \boxed{5.6}[/tex]
or...
If you mean the multiplicative inverse of [tex]-5.6[/tex], then the answer would be [tex]\dfrac{1}{-5.6}[/tex]
Devin drove her truck. The fuel remaining in the truck's tank (in liters) as a function of distance (in kilometers) is graphed.
What is the approximate average fuel consumption rate, between the 100th kilometer and 400th kilometer?
Between the 100th and 400th kilometers, the average fuel consumption rate is 5/6 liters per kilometer.
What is the rate of change?A consequence of dividing the variation in a variable's function by the variation in the variable. For example The rate at which a distance changes in relation to time is known as velocity.
Given, Devin drove her truck. The fuel remaining in the truck's tank (in liters) as a function of distance (in kilometers) is graphed.
Since in the domain [100, 400] graph shows somewhat linear properties.
from the graph Fuel consumption at 100 = 375 liters
Fuel consumption at 400 = 125 liters
rate in a linear function between two points = (y₂ - y₁)/ (x₂ - x₁)
thus rate between [100, 400] = (375-125)/400-100
rate between [100, 400] = 250/300
rate between [100, 400] = 5/6litere per kilometer
therefore, the average fuel consumption rate, between the 100th kilometer and 400th kilometer is 5/6 liters per kilometer.
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A passenger elevator in the Sears Tower in Chicago can lift people 960 feet in 1 minute and 30 seconds. How fast must the freight elevator be traveling if it lifts cargo the same height but in 2 minutes and 30 seconds? [
D=rt
D=rt
]
Pilihan jawaban
6.4 feet per second
10.7 feet per second
19.2 feet per second
38.4 feet per second
If the freight elevator lifts goods the same height in 2 minutes and 30 seconds, it will travel at a pace of 6.4 feet per second.
What is speed?Speed is the pace at which an item moves along a route in time, whereas velocity is the rate and direction of movement. In other words, velocity is a vector, whereas speed is a scalar number. The sign for speed is v (italic), whereas the symbol for velocity is v. (boldface). A bar is placed over the symbol to represent average values. Speed is defined as the rate at which distance changes over time. It has a distance by time dimension. Thus, the SI unit of speed is defined as a combination of the fundamental units of distance and time. As a result, the SI unit of speed is the metre per second.
Here,
Given that a passenger elevator in the sears tower in Chicago can lift people 960 feet in 1 minute and 30 seconds (1.5 minutes). This means that the lift is travelling with a speed of:
=960/1.5
=640 ft/min
If the elevator lifts cargo through the same height in 2 minutes and 30 seconds (2.5 minutes), then the speed is given by:
=640/2.5
=384 ft/min
=384/60
=6.4 ft/second
The freight elevator be traveling at the speed of 6.4 ft/second if it lifts cargo the same height but in 2 minutes and 30 seconds.
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