Approximately 378 people can fit in a passenger car with a length of 70 feet and a width of 9 feet.
What is the volume of a car with a length of 70 feet and a width of 9 feet?To determine the number of people who can fit in a passenger car with a length of 70 feet and a width of 9 feet, we need to consider the available space inside the car and the amount of space required per person.
Assuming that the passenger car is a rectangular box shape, the volume of the car can be calculated as follows:
Volume of car = Length x Width x Height
Since we are only interested in the number of people who can fit in the car, we will assume a standard height of 6 feet for simplicity. Therefore, the volume of the car can be calculated as follows:
Volume of car = 70 feet x 9 feet x 6 feet
Volume of car = 3,780 cubic feet
Next, we need to determine the amount of space required per person. This can vary depending on the seating arrangement and the size of the individuals, but as a general rule, we can estimate that each person requires approximately 10 to 12 cubic feet of space in a seated position.
Assuming we use the lower end of that estimate and allocate 10 cubic feet of space per person, we can calculate the number of people who can fit in the car as follows:
Number of people = Volume of car / Space per person
Number of people = 3,780 cubic feet / 10 cubic feet per person
Number of people = 378 people
Therefore, if we assume a standard height of 6 feet and allocate 10 cubic feet of space per person, approximately 378 people can fit in a passenger car with a length of 70 feet and a width of 9 feet. However, it is important to note that this is just an estimate and the actual number of people who can fit in the car will depend on factors such as the seating arrangement and the size of the individuals.
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Please help me find the answer
Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the measure of angle b in the image below.
Answer:
complementary
b = 45 deg
Step-by-step explanation:
Angles b and 45-deg are complementary since their measures ad to 90 deg.
45 + b = 90
b = 45
Answer:
Complementary
45°
Step-by-step explanation:
b + 45° = 90°
b = 90° - 45°
b = 45°
data sample contains all integers from 530 to 380 and all integers from 379 to 531. what is the mean of this sample?
The given data sample contains all integers from 530 to 380 and all integers from 379 to 531. This means that the sample includes 152 integers in total. To find the mean of the sample, we need to add up all the numbers and divide by the total number of integers.
To do this, we can take the average of the two endpoints (530 and 380), which is 455. Then we can add the sum of the integers between 380 and 530, which is (530-381+1) + (530-379) = 150 + 151 = 301. Finally, we divide the total sum by the number of integers, which is 152, and get:
Mean = (455 + 301) / 152 = 3.980263158
Therefore, the mean of the given data sample is approximately 3.9803.
In summary, we can find the mean of a sample by adding up all the numbers and dividing by the total number of items. In this particular sample, we first found the average of the two endpoints and then added the sum of all the integers between them to find the total sum. Finally, we divided the total sum by the number of integers to find the mean of the sample.
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For the piecewise defined function f (x)=
3x-1 x<3
1/2 x + 7. x>3
what is the following is the value of f (6) ?
Answer:
10
Step-by-step explanation:
f(x)=f(6) means x=6
Now, as 6>3 we use the formula for x>3
Substituting 6 into 1/2x+7 we get,
1/2(6)+7
=3+7
=10
The value of function at x= 6 is 10.
What is Piecewise function?A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a certain interval of the domain it applies to. Instead of being a property of the function itself, piecewise definition is a means to express the function.
We have,
f(x) = 3x -1 , x<3
1/2x + 7, x>3
Now, for x = 6 which falls in condition x>3
f(6) = 1/2(6)+ 7
f(6) = 3 + 7
f(6)= 10
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Pls help ima give BRAINLIST and a like
Answer:
the letter in the green box should be 3.
i believe the full equation should be y= -3/2 x+1
Step-by-step explanation:
the y side keeps decreasing by 1 1/2 which in improper fraction form is -3/2. the x side keeps increasing by 1.
Sam and jeremy have ages that are consecutive odd interferes. The product of their ages is 783. Which equation could be used to find Jeremy’s age, j, if he is the younger man?
So, the equation we could use to find Jeremy's age, j, if he is the younger man, is: j = x + 2, where x satisfies the equation x(x + 2) = 783.
What is equation?An equation is a mathematical statement that asserts the equality of two expressions. In an equation, an expression is written on the left side of an equals sign (=), and another expression is written on the right side of the equals sign. The equals sign indicates that the two expressions have the same value.
Here,
Let's use algebra to solve this problem. We can start by representing Sam's age as x and Jeremy's age as x + 2, since they are consecutive odd integers. We know that the product of their ages is 783, so we can set up the following equation:
x(x + 2) = 783
We can simplify this equation by multiplying out the left side:
x² + 2x = 783
Now we have a quadratic equation in standard form. We can solve for x by using the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
In this case, a = 1, b = 2, and c = -783, so we can substitute these values into the formula:
x = (-2 ± √(2² - 4(1)(-783))) / 2(1)
Simplifying the expression under the square root, we get:
x = (-2 ± √(3136)) / 2
x = (-2 ± 56) / 2
So, we have two possible values for x:
x = 27 or x = -29
We can reject the negative value, since it does not make sense in the context of the problem. Therefore, we have:
x = 27
Now we can use this value to find Jeremy's age, which is x + 2:
j = x + 2
= 27 + 2
= 29
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3 7th grade math questions please answer asap will give brainlist thingy
Answer:
1. Equation: x/-9=-16
solution: x=144
2. Equation:15*x=-75
solution: x=-5
3.Equation:0.75n=36
solution: n=48
Step-by-step explanation:
-2 1/6 + (-2/3) im really confunsed and i cant find out the answer
Answer:
-2 5/6
Step-by-step explanation:
First, you have to change the fraction 2/3 to have a common denominator with 1/6. 2/3 x 2/2 = 4/6.
Second, now your equation is -2 1/6 + ( -4/6 ).
Third, you have to add -2 1/6 and -4/6 which gets you -2 5/6
Hope this helps!
Find the slope of the line passing through the points (5,9) and (5, - 7)
Answer:
9/11
Step-by-step explanation:
A Store owners offers a discount of 20% off the regular price of all jackets. Jessica has a coupon that gives her an additional 5% off the discount price. The original price of jacket Jessica buys is $84. What is the price of the jacket after the discount and Jessica coupon?
Answer:
$63
Step-by-step explanation:
The store is 20% off, Jessica has a coupon that is 5% off add that together and it's 25% off. $84 - 25% = $63
help asappppp? i’m having trouble on wat the 1/4 point is
Answer:
(-14, 5.5)
Step-by-step explanation:
Perhaps the easiest way to find the 1/4 point is to find (x, y), then find the midpoint between that and M.
(x, y) = 2M -(13, 25) = 2(-5, 12) -(13, 25) = (-23, -1)
Then the 1/4 point is ...
((-23, -1) +M)/2 = ((-23, -1) +(-5, 12))/2 = (-28, 11)/2 = (-14, 5.5)
_____
If we call the end points A(x, y) and B(13, 25), then we know ...
M = (A+B)/2
A = 2M -B . . . . we'll need this in a bit
and the 1/4 point Q is such that ...
(Q -A)/(B -A) = 1/4
4Q -4A = B -A . . . . cross multipliy
Q = (B +3A)/4 = (B +3(2M -B))/4 = (6M -2B)/4 . . . . solve for Q
Q = (3M -B)/2 . . . . reduce the fractions
Q = (3(-5, 12) -(13, 25))/2 = (-28, 11)/2 = (-14, 5.5) . . . as above
Ricky has 23 hours each week to dedicate to his classes. homework takes 6.5 hours and each class (c) is 1.5 hours long. how many classes does ricky take? which equation models the question? explain your thinking.
a) 23=6.5-1.5c b) 23=6.5+1.5c
c) 23=1.5+6.5c d) 23=1.5-6.5c
by dividing both sides by 1.5.
How many classes does Ricky take?To solve the problem, we need to first determine the total amount of time Ricky spends in his classes. We know that each class is 1.5 hours long, so if he takes c classes, then he will spend a total of 1.5c hours on class time. In addition, we know that he spends 6.5 hours on homework. Therefore, the total amount of time Ricky spends on his classes and homework is:
Total time = Class time + Homework time
Total time = 1.5c + 6.5
We also know that Ricky has 23 hours per week to dedicate to his classes and homework. Therefore, we can set up the following equation:
Total time = 23
Substituting the expression for a total time from the first equation, we get:
1.5c + 6.5 = 23
Now we can solve for c:
1.5c = 23 - 6.5
1.5c = 16.5
c = 11
Therefore, Ricky takes 11 classes.
The equation that models the question is b) 23=6.5+1.5c. This equation correctly represents the total time Ricky spends on his classes and homework (23 hours), as well as the time he spends on homework (6.5 hours) and the time he spends in class (1.5c hours).
by dividing both sides by 1.5.
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Josh earns 15% commission on every car that he sells. If he earns $1,200 from the sale of a car, what was the cost of the car?
Answer:
Step-by-step explanation:
80
For every 10 flowers, there are 36 butterflies resting on the flower with the same number
on each flower. How many butterflies are on one flower? Select all that apply. Then,
explain what concept you applied and why.
Answer:
about 3.6 butterflies (round up if needed to 4)
Step-by-step explanation:
If you have 10 flowers, and 36 butterflies, then to find out how many butterflies on each flower, divide 36 butterflies among 10 flowers (\(36/10\))
This will give you 3.6 butterflies per flower.
Now, we know you can't have 3.6 butterflies (it's either 3 or 4), but this is just a mathematical prediction, so it just says that if you could have less than a whole butterfly, that's how it would work
Triangle pendant has two sides the same length the third side is 9 inches shorter than either of the equal sides the perimeter of the pendant is 57 inches how long is the shortest side 
The required length of the shorter side of the triangle pendant is 13 inches.
What is Triangle pendant?A triangle pendant addresses indication, edification, disclosure, and a higher viewpoint. It is much of the time used to stamp the patterns of development that lead to a higher condition. Shop the Workmanship Decor Blossom Pendant Pink.
According to question:
We have,
Let the longer sides which are equal be x,
Then shorter side is x - 9.
Perimeter Triangle pendant = 57 inches
So, x + x + x - 9 = 57
3x = 66
x = 22 inches
So, the Shortest side = x - 9 = 22 - 9 = 13 inches.
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in the following pseudocode which uses recursion to find the factorial of a number, which is the base case?factor(n - 1)n * factor(n - 1)n
The base case in the given pseudocode is factor(0).
The pseudocode is using recursion to find the factorial of a number. In each recursive call, the function is subtracting 1 from the given number (n - 1) and then multiplies it with the result of the recursive call for n - 1. The base case is the condition that stops the recursion and provides a result.
In this case, the base case is a factor(0). When the input number reaches 0, the recursion stops, and the function returns 1. This is because the factorial of 0 is defined as 1.
So, when the base case is reached, the recursion unwinds, and the factorial value is calculated by multiplying the current number (n) with the result of the previous recursive call (factor(n - 1)).
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Help me I don't understand
Answer:
For first equation: it would be 5^2 which is 25 so 25 - 9 = 16 then 2(4 - 3) = 2 x 4-3 = 2 x 1 = 2 so 16 divided by 2 = 8
The function s(t) = t2+2t+5shows the height s(t), in feet, of a water balloon after t seconds. A second water balloon moves in the air along a path represented by p(t)=11+3t where p(t) is the height, in feet, of the balloon from the ground at time t seconds
Part A: Create a table using integers 1 through 4 for the two functions. What is the solution for s(t) = p(t)? How do you know? Include the table in your answer.
Part B: Explain what the solution from Part A means in context of the problem.
Answer:
t =2 , 3
Step-by-step explanation:
s (t) = t^2 + 2 t + 5
p (t) = 11 + 3 t
(a) s (1) = 8
s (2) = 13
s (3) = 20
s (4) = 29
p (1) = 14
p (2) = 17
p (3) = 20
p (4) = 23
Now equate both of them
\(t^2 + 2t + 5 = 11 + 3 t \\\\t^2 - t - 6 =0 \\\\t^2 - 3 t + 2t - 6 =0\\\\t(t - 3) + 2 (t - 3) = 0\\\\(t -3)(t-2)=0\\\\t =3, 2\)
(b) It shows that the values are same at = 2 and t = 3.
what is the meaning of interval [a,b]
Answer:
Step-by-step explanation:
interval in mathematics stands for a set of real numbers,
denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.
thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.
A triangle has 2 angles that each measure 83°. What kind of triangle is it? A. equiangular triangle B. right triangle C. obtuse triangle D. isosceles triangle
Answer:
D. isosceles triangle
Step-by-step explanation:
The two angles are equal but the third angle will not be. Therefore, a triangle with two equal angles and one not is isosceles.
• Choose a topic from the list below: Argue why Josef Pieper conception of leisure is the best one in modernity, or instead why it might be a limited conception in comparison to another theory of leisure. • Argue why a life is better with leisure today, and why for the classical Greeks, an absence of leisure meant an absence of a happy life. • Argue why John Dewey and modern liberal thinkers did not agree with Aristotle's ideas on education or on leisure generally. • Argue how modern psychological conceptions of happiness and the classical idea of happiness in Aristotle differ. What was the "Greek Leisure Ideal" and how would it manifest today according to Sebastian De Grazia? What happened to it? • Argue why the liberal arts are so important in education and leisure, and explain its Greek origin and how that is received today. • You must choose from this list, but it can be modified slightly if you have an idea you wish to pursue. The main requirement is that you must contrast at least one ancient thinker and one modern one. • The paper must be well researched and contain a minimum of 6 sound academic sources. • Textbook or course readings may be used, but do not count in this total. DETAILS SCALCET8 1.3.039. 0/1 Submissions Used Find f o g o h. f(x) = 3x - 8, g(x) = sin(x), h(x) =x^2
To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.
The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.
The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.
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In the xy-plane above, point o is the center of the circle. If arc ab has a length of 2pi, what is the measure of angle AOB in degrees?
The measure of angle AOB in degrees is 360 degrees.
The length of arc AB is given as 2π, which is equal to the circumference of the circle since it is a full circle. The circumference of a circle is calculated using the formula C = 2πr, where r is the radius of the circle. Since the length of arc AB is equal to the circumference, we can set 2πr = 2π and solve for r. Simplifying the equation, we find that r = 1. The radius of the circle is 1, and the distance from the center to any point on the circumference of the circle is equal to the radius.
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Sari made pancake batter. She has 1 cup of batter left. How much batter did she use?
If this problem cannot be solved with the information provided, write additional information
and then solve the problem.
Answer:
3 cups
Step-by-step explanation:
let's assume that sari made pancake batter in a jar.
1 jar is equivalent to 4 cups
so if 1 cup of batter is left, it can be concluded that Sari uses 3 cups of batter in making pancakes.
what is the probability that washing dishes tonight will take me between 15 and 16 minutes? give your answer accurate to two decimal places.
The probability of washing dishes by me tonight will take between 15 and 16 minutes is 14.29%.
The term "uniform distribution" refers to a type of probability distribution in which the likelihood of each potential result is equal.
Let's consider, the lower limit for this distribution as a and the upper limit for this distribution as b.
The following formula gives the likelihood that we will discover a value for X between c and d,
\(P(c\leq X\leq d)=\frac{d-c}{b-a}\)
Given the time it takes me to wash the dishes is 11 minutes and 18 minutes. From this, a = 11 and b = 18.
Then,
\(P(15\leq X\leq 16)=\frac{16-15}{18-11}=0.1429=14.29\%\)
The answer is 14.29%.
The complete question is -
The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes. What is the probability that washing dishes tonight will take me between 15 and 16 minutes?
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Factoring by grouping: what is 3x^2+2x-5
Answer:
(x-1)(3x+5)
Step-by-step explanation:
3x^2+2x-5
3x^2+(5-3)x-5
3x^2+5x-3x-5
X(3x+5)-1(3x+5)
(x-1)(3x+5)
Answer is (x-1)(3x+5)
the probility of alvins mother will server rice with dinner is 0.78 the probilty that she will server carrots is with dinner is 0.30
The probability of both rice and carrots being served with dinner is 23.4%.
The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.
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is the sum of the integers x and y a prime number? (1)x is an even prime number. (2)y is a prime number between 10 and 20.
Based on the given information, we know that x must be 2 since it is the only even prime number. We also know that y must be either 11, 13, 17, or 19 since those are the only prime numbers between 10 and 20.
So, the sum of x and y can be 2 + 11 = 13, 2 + 13 = 15, 2 + 17 = 19, or 2 + 19 = 21.
Out of these four possible sums, only 13, 17, and 19 are prime numbers. Therefore, we can say that the sum of x and y may or may not be a prime number, depending on the specific values of x and y.
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how would increases in tolerable misstatement and assessed level of control risk affect the sample size in a substantive test of details
Increases in tolerable misstatement will decrease sample size and assessed level of control risk will Increase sample size in a substantive test of details.
Sample size will be decreased when there is an increase in tolerant misstatement because there is a deviation that does not impact the financial statement. An increase in the assessed level of control risk, on the other hand, will increase sample size because the risk of material misstatements has also increased.
Complete question:-
How would increases in tolerable misstatement and assessed level of control risk affect the sample size in a substantive test of details?
a. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Decrease sample size
b. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Increase sample size
c. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Decrease sample size
d. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Increase sample size
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1. A state is considering adding another character to their vehicle license plates in order to increase the number of license plates available. Currently, a license plate must have exactly six character spaces. Each character space may be filled with any capital letter other than I or O or any number between, and including, 0 to 9. Letters and numbers may repeat on the plates.
(a) How many different license plate numbers are available under the current structure of exactly six characters per plate? Show your work.
(b) If the state required all license plates to have exactly seven characters instead of six, how many different license plate numbers would be available with the additional character requirement? Show your work.
(c) How many times bigger is the set of license plate numbers with exactly seven characters than that with the set of six characters? Show your work.
Answer:
9514 1404 393
Answer:
a) 1,544,804,416
b) 52,523,350,144
c) 34
Step-by-step explanation:
(a) Each character position can be any of 24 letters or 10 digits, so any of 34 characters. The number of possible characters sets increases by a factor of 34 for each added character. A six-character plate will have ...
34^6 = 1,544,804,416 . . . possibilities
__
(b) 34^7 = 52,523,350,144 . . . possibilities
__
(c) 34^7/34^6 = 34 . . . times as many
Need help ASAP! Easy points! Will mark brainliest
Answer:
A: Adjacent angles
Answer:
A. adjacent
Step-by-step explanation: