The sum of all edges of the regular quadrilateral prism is 108 cm.
To find the sum of all edges of a regular quadrilateral prism with height h = 11 cm and base edges b = 8 cm, follow these steps:
1. Determine the number of base edges: A quadrilateral has 4 edges, so there are 4 base edges for the top and 4 for the bottom, totaling 8 base edges.
2. Determine the number of height edges: There are 4 vertical edges connecting the top and bottom bases.
3. Add the number of base and height edges: 8 base edges + 4 height edges = 12 edges in total.
4. Calculate the sum of all edge lengths: (8 base edges (8 cm)) + (4 height edges (11 cm)) = 64 cm + 44 cm = 108 cm.
So, the sum of all edges of the regular quadrilateral prism is 108 cm.
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Sarah is going to the grocery store to buy milk. She buys 0.75 gallons of milk for $1.80. How much money, in dollars, would it cost Sarah to buy an entire gallon of milk?
Answer: $2.40
Step-by-step explanation:
With simple multiplication, 18/3 is 6.
Since 0.75 is equivalent to 3/4, you can assume that 1.80 divided by 3 equals 60cents. 60x4 equals 240.
Answer:2.40
Step-by-step explanation:
1. Let G be a group and H be a nonempty subset of G that is closed under the binary operation of G. Then H is a subgroup of G. a. True b. False 2. Given the following statements. Statement A: Every cyclic group is abelian. Statement B: The order of the cyclic group is the same as the order of its generator. Choose the correct option. a. A and B are true. b. Both A and B are false. c. A is true but B is false. d. A is false but B is true. 3. The set of all real numbers under the usual multiplication operation is not a group since a. Zero has no inverse. b. The identity element under the operation does not exist. c. Multiplication is not a binary operation on the set. d. Multiplication is not satisfying the associativity property.
The correct answer is a)True c)True The order of the cyclic group is determined by the number of elements in the group, whereas the order
a. True. If a nonempty subset H of a group G is closed under the binary operation of G, contains the identity element of G, and contains the inverse of each of its elements, then H is a subgroup of G.
c. A is true but B is false. Every cyclic group is indeed abelian, but the order of the cyclic group is not necessarily the same as the order of its generator. The order of the cyclic group is determined by the number of elements in the group, whereas the order of the generator refers to the smallest positive exponent that generates all elements of the group.
a. Zero has no inverse. In the set of real numbers under the usual multiplication operation, the element zero does not have a multiplicative inverse. Every nonzero real number has an inverse, but zero itself does not. In a group, every element should have an inverse, so the set of all real numbers under multiplication does not form a group.
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Kevin will take 4 math tests this term. All of the tests are worth the same number of
points. After taking the first 3 tests, his mean test score is 88 points. How many points
does he need on his last test to raise his mean test score to 90 points?
Answer:
96
Step-by-step explanation:
Total of 4 test at 90
90 * 4 = 360
Current total
88 * 3 = 264
Score needed
360 - 264 = 96
Answer:
96
Step-by-step explanation:
this is how i solved it:
88 x 3 = 264 ( the sum of the three test score )
now i just gotta look for a number to add to 264 that will give me 90 (the wanted mean score) if i divide the sum by 4 (the four test scores).
so the equation would be:
(264 + x) / 4 = 90
264 + x = 360
x= 96
process totals ($100s) 137 108 107 352 sample size 10 10 10 30 sum of squares 1,893 1,188 1,175 4,256 in an anova table, what are the degrees of freedom for the treatment source of variation? g
Therefore, the degrees of freedom for the treatment source of variation is 3.
In ANOVA (Analysis of Variance), the total variability of a dataset is divided into different sources of variation, such as treatment, error, and total. The treatment source of variation represents the differences between the means of the groups being compared. The degrees of freedom for the treatment source of variation refer to the number of independent pieces of information used to estimate the variability due to treatment. It is calculated as the number of groups minus one. In this case, with four groups, the degrees of freedom for the treatment source of variation is 3. This value is used in calculating the F-statistic and determining if there are significant differences between the group means.
The degrees of freedom for the treatment source of variation can be calculated using the formula:
Degrees of freedom (treatment) = number of groups - 1
In this case, there are 4 groups, so the degrees of freedom for the treatment source of variation would be:
Degrees of freedom (treatment) = 4 - 1 = 3
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Divide these fractions
2/3 = 3/4
Answer:
8/9
Step-by-step explanation:
I'm pretty sure after you make it a reciprocal you multiply it
please help quickly ill give brainliest if its correct
2p10
Step-by-step explanation:
Solve 2 - 5|5x – 5| = -73 O x = 2,4 O X = -2,4 O x=-39, 39 O x = Empty Set
Answer:
x = -2, 4.
Explanation:
Given the absolute equation:
\(2-5|5x-5|=-73\)First, we subtract 2 from both sides.
\(\begin{gathered} 2-2-5|5x-5|=-73-2 \\ -5|5x-5|=-75 \end{gathered}\)Next, we divide both sides of the equation by -5.
\(\begin{gathered} \frac{-5|5x-5|}{-5}=\frac{-75}{-5} \\ |5x-5|=15 \end{gathered}\)Next, we solve the absolute value.
\(5x-5=15\text{ or }5x-5=-15\)Solving, we have:
\(\begin{gathered} 5x-5=15\implies5x=15+5\implies5x=20\implies x=\frac{20}{5}\implies x=4 \\ 5x-5=-15\implies5x=-15+5\implies5x=-10\implies x=\frac{-10}{5}\implies x=-2 \end{gathered}\)Therefore:
x = -2, 4.
Write the slope intercept form of the equation of each line given the slope and y-intercept. Slope = 0, y-intercept = 5
Answer:
0+5=5
Step-by-step explanation: If u add nothing then it stays like that
Answer:
5
Explanation:
I'm a goat so I know everything
Sausages come in packets of 12. Bread rolls come in packets of 9. Brian wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?
lcm??????????
Answer:
LCM is 36
Step-by-step explanation:
9 x 4 = 36
12 x 3 = 36
Graphical For the following exercises, graph the inequality. 20.x2 + 2y > 7 21.y2 – 2x2 > -3and x2 + y2 <9 Extensions For the following exercises, graph the inequality. 22.y 2 ()* 23. y < 302.X + 1 Real-World Applications For the following exercises, construct a system of nonlinear equations to describe the given behavior, then solve for the requested solutions. 24. Two numbers add up to 144. One number is half the square of the other number. What are the numbers? 25. The squares of two numbers add to 1,156. The second number is the square root of three times the square of the first number. What are the numbers?
The graph of the inequality y^2 > 0 represents all real numbers except y = 0.
The graph of the inequality y < 30 represents all real numbers less than 30.
The inequality y^2 > 0 represents all values of y where y squared is greater than 0. Since the square of any nonzero number is always positive, the solution is all real numbers except y = 0, which can be graphed as a number line with an open circle at y = 0.
The inequality y < 30 represents all values of y that are less than 30. This can be graphed as a horizontal line on the y-axis with an open circle at y = 30, indicating that 30 is not included in the solution set.
For the real-world applications, let's solve them step-by-step:
Two numbers add up to 144. One number is half the square of the other number.
Let's assume the two numbers are x and y. We have the following system of equations:
x + y = 144 (Equation 1)
x = (1/2)y^2 (Equation 2)
From Equation 1, we can solve for x in terms of y: x = 144 - y.
Substituting this into Equation 2, we get 144 - y = (1/2)y^2.
Rearranging the equation, we have: (1/2)y^2 + y - 144 = 0.
Now we can solve this quadratic equation for y. Once we find the value(s) of y, we can substitute them back into Equation 1 to find the corresponding values of x.
The squares of two numbers add to 1,156. The second number is the square root of three times the square of the first number.
Let's assume the two numbers are x and y. We have the following system of equations:
x^2 + y^2 = 1156 (Equation 1)
y = √(3x^2) (Equation 2)
Substituting Equation 2 into Equation 1, we get: x^2 + (√(3x^2))^2 = 1156.
Simplifying, we have x^2 + 3x^2 = 1156.
Combining like terms, we get 4x^2 = 1156.
Now we can solve this quadratic equation for x. Once we find the value(s) of x, we can substitute them back into Equation 2 to find the corresponding values of y.
Remember to leave a 1 line space between paragraphs in your answer.
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In 1995, using the freemium business model (where basic services are free but subscribers pay extra for some things), early social media pioneer _________ allowed users to create web pages with text and pictures within a community (topic).
In 1995, an early social media pioneer implemented the freemium business model, offering users the ability to create web pages within a community (topic) by providing basic services for free and charging for additional features.
In 1995, GeoCities introduced the freemium business model to the social media landscape. GeoCities allowed users to create personalized web pages with text and pictures within various thematic communities. The freemium model offered basic services for free, allowing users to create and host their web pages. However, GeoCities also provided additional features and enhancements for which users had to subscribe and pay.
This business model proved to be successful as it attracted a large user base and allowed GeoCities to generate revenue from subscribers who wanted access to premium features. By offering a free platform with limited functionality and enticing users with paid upgrades, GeoCities capitalized on the concept of the freemium model, providing a valuable interest while monetizing certain aspects of it.
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Determine the constant of variation for the direct variation given. 2 1
The constant of variation for the given direct variation is 2.
What is the constant of variation?The quantity that connects two variables that are directly or inversely proportional to one another is known as the constant of variation.So, the origin (0, 0) and the supplied line are intersected by it (3, 6)
The slope of the line is the variation constant for the direct variation.The two on line coordinates (0, 0) and (1, 1) can be used to determine the slope (3, 6).Slope formula: m = y2 - y1/x2 - x1
Where,
x₁ = 0y₁ = 0x₂ = 3y₂ = 6Substitute values as follows:
m = y2 - y1/x2 - x1m = 6-0/3-0m = 6/3m = 2Therefore, the constant of variation for the given direct variation is 2.
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Correct question:
Determine the constant of variation for the direct variation given.
A. 1/2
B. 1
C. 2
Approximate √18 to the nearest whole number.
Answer:
4 is the answer
Step-by-step explanation:
Answer:
hey
√18 = 4.242
Step-by-step explanation:
rounded = 4
All the events in the sample space that are not part of the specified event are called _____. Group of answer choices joint events the complement of the event simple events independent events
All the events in the sample space that are not part of the specified event are called Complement of Event.
Complement of event:
The complement of an event is the subset of outcomes in the sample space that are not in the event. A complement is itself an event. The complement of an event A is denoted as A c A^c Ac or A′. An event and its complement are mutually exclusive and exhaustive.
Two events are said to be complementary when one event occurs if and only if the other does not. The probabilities of two complimentary events add up to 1. For example, rolling a 5 or greater and rolling a 4 or less on a die are complementary events, because a roll is 5 or greater if and only if it is not 4 or less.
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For the polynomial P(x) = 2x4 - 6x2 - 9x +3 and c= - 4, find P(c) by (a) direct substitution and (b) the remainder theorem.
Answer:
A. -(7/5)
B.-41
Lemme know if u need an explanation
Find the y intercept
Answer:
okay so 10 hours okay ha ha ha ha ha
can someone answer this question?
Answer:
4x+4=6 I believe that's the answer
Which graph matches the equation 4x² + 25y^2 = 100?
graph b matches the equation
what is the missing value in the equivalent ratio 18:27= 16:__
answer choices:
a:24
b:25
c:26
how do i solve this question? I don´t know how to do it and its confusing.
To find the fraction of games won, you need to convert the decimal 0.444... to a fraction. One way to do this is to subtract the decimal from 1 and find the repeating decimal's reciprocal.
How to find the fractionThe power of ten to multiply by depends on the number of decimal places in the repeating decimal, which in this case is an infinite number of 4's. To determine this, you can use the fact that 0.444... is equal to 4/9.
When converting a repeating decimal to a fraction, you need to determine the number of repeating decimal places and then multiply both the numerator and denominator by 10 raised to that power. In the case of 0.444..., there is an infinite number of 4's after the decimal point, so we multiply both the numerator (4) and denominator (9) by an infinite power of 10.
In practice, it's often sufficient to multiply by a high enough power of 10 such that the repeating decimal part becomes a whole number in the numerator and the fraction is reduced to its simplest form.
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Solve the system y=x-3 y=-2x+3
Answer:
x = 2, y= -1 Or (2, -1)
Step-by-step explanation:
Let’s solve the system using substitution. First we can set the equations equal to each other:
x-3= -2x +3
Now solve for x
3x-3= 3
3x = 6
x=2
Now that we have x, we can plug it back into one of the original equations to get y
y= x-3
y= 2-3
y = -1
Finally, the solution to the system of equations is (2, -1).
Answer:
(2,-1)
Step-by-step explanation:
1.) y = x - 3
y = -2x + 3
2.) Multiply top equation by 2
2y = 2x - 6
y = -2x + 3
3.) Add equations
3y = -3
4.) Divide 3 from each side
y = -1
5.) Substitute -1 for y in second equation
-1 = -2x + 3
6.) Solve
-4 = -2x
x = 2
Therefore, (2, -1)
Using the regression line for this problem, the approximate rolling distance for a child on a bike that weighs 110 lbs. is:
To determine the approximate rolling distance for a child on a bike weighing 110 lbs, we would need the regression line equation derived from a statistical analysis.
The regression line represents the relationship between the weight of the bike and the rolling distance. With the regression line equation, we can substitute the weight of 110 lbs into the equation to estimate the corresponding rolling distance. The regression analysis would have been performed using a dataset with various bike weights and their corresponding rolling distances. By analyzing the data, the regression line provides an approximation for predicting the rolling distance based on the weight of the bike.
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pls help, it is due now. Thank You so much to whoever helps!
Answer:
(7, -1)
Step-by-step explanation:
3x + 7y = 14
y = x - 8
3x + 7(x - 8) = 14
3x + 7x - 56 = 14
10x - 56 = 14
Add 56 to both sides.
10x = 70
Divide both sides by 10.
x = 7
3(7) + 7y = 14
21 + 7y = 14
Subtract 21 from both sides.
7y = -7
Divide both sides by 7.
y = -1
(7, -1)
how many pattern block triangles would i need to make 4 hexagons
Answer:
4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles
Step-by-step explanation:
Pattern blocks are a set of geometric shapes commonly used in math education. The set typically includes six different shapes: triangle, rhombus, trapezoid, hexagon, square, and equilateral triangle. Each hexagon in a pattern block set is made up of six equilateral triangles.
To make 4 hexagons using pattern blocks, we would need to calculate the total number of equilateral triangles required. Since each hexagon is made up of 6 equilateral triangles, we can multiply the number of hexagons by 6 to get the total number of equilateral triangles needed.
4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles
So, you would need 24 pattern block triangles to make 4 hexagons using pattern blocks.
Answer:
Let's use pattern blocks to visualize the situation and say that a hexagon is 1 whole. Since 3 rhombuses make a hexagon, 1 rhombus represents and 2 rhombuses represent . We can see that 6 pairs of rhombuses make 4 hexagons, so there are 6 groups of in 4.
I need an answer please (also if there is any error in the previous question please correct me).
No, a trapezoid.
14) Let's plot those points for a visual conclusion
Note that B = B'
So the answer is:
No, as we can see the image defines a Trapezoid as another quadrilateral. without four right angles, and without four congruent sides.
We can also be sure by the fact that if we subtract the corresponding x values of each point of ABCD we'll have 4 units.
-4(2x+4)=-7x
solve for x
Answer:
x should equal 16
Step-by-step explanation:
Determine the area of the square ABCD with AB=3
AB = 3
The area of the square ABCD
= (3)^2 square units
= 9 square units.
The answer is 9 square units
find f ( a ) , f ( a h ) , and the difference quotient for the function given below, where h ≠ 0 . f ( x ) = 8 x − 9
The difference quotient for the function is 8.
The function is given by:
f ( x ) = 8 x − 9, where h ≠ 0
To find f(a), substitute a for x in the function. So we have:
f ( a ) = 8 a − 9
To find f(a + h), substitute a + h for x in the function. So we have:
f ( a + h ) = 8 ( a + h ) − 9
The difference quotient can be found using the formula:
(f(a + h) - f(a))/h
Substituting the values found above, we have:
(8 ( a + h ) − 9 - (8 a − 9))/h
Expanding the brackets and simplifying, we have:
((8a + 8h) - 9 - 8a + 9)/h
= 8h/h
= 8
Therefore, the difference quotient for the function is 8.
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How many miles did Rami run in all 3/4 + 7/8 + 5/6 =
Let's add the fractions to determine how many miles Rami run:
\(\begin{gathered} \frac{3}{4}+\frac{7}{8}+\frac{5}{6}=\frac{24+28}{32}+\frac{5}{6} \\ =\frac{52}{32}+\frac{5}{6} \\ =\frac{13}{8}+\frac{5}{6} \\ =\frac{78+40}{48} \\ =\frac{118}{48} \\ =\frac{59}{24} \\ =2\frac{11}{24} \end{gathered}\)Therefore Rami run 2 11/24 miles. (In decimal approximation this is 2.4583 miles)
Tora took a short trip of 320 miles. He stopped to have lunch after he had driven 120 miles. Write the fraction of the trip he had completed by lunch in simplest form. Then write the fraction as a decimal.
Answer:
The fraction of the trip completed is ³/₈
The fraction of the trip completed in decimal form is 0.375
Step-by-step explanation:
Given;
total trip to be completed by Tora, = 320 miles
distance completed by Tora, = 120 miles
The fraction of the race that Tora has completed is given as;
\(= \frac{distance \ completed}{total \ distance} \\\\= \frac{120}{320}\\\\= \frac{12}{32} \ (divide \ both \ numerator \ and \ denominator \ by \ 4)\\\\= \frac{3}{8}\)
As a decimal the fraction is written as;
\(\frac{3}{8} = 0.375\)