Find the volume of rectangular prism. (You should have at least 2 steps shows in your work!)(show all decimal places or a fraction)
Answers
Answer:
[tex]3 \frac{3}{4} \times 4 \frac{1}{2} \times 5 = \frac{15}{4} \times \frac{9}{2} \times 5 = \frac{675}{8} = 84\frac{3}{8} [/tex]
The volume is 84 3/8 cubic meters = 84.375 cubic meters.
Related Questions
What is the slope of the line that passes through the points (2,-4) and (5,2)
Answers
Answer:
2.
Step-by-step explanation:
To find the slope of the line that passes through the points (2,-4) and (5,2), we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (2,-4) and (x2, y2) = (5,2)
slope = (2 - (-4)) / (5 - 2)
slope = 6 / 3
slope = 2
Therefore, the slope of the line that passes through the points (2,-4) and (5,2) is 2.
Which set of ordered pairs gives the polygon shown?
(-4.2), (-4, -5), (1.5, -5), (1.5, 2)
(1.5, 2), (1.5, -4.5), (-4.5, -4), (2, -4)
(-4, -4.5), (-4.5, 1.5), (1.5, 2), (-4, 2)
(1.5, -4.5), (-4, -4.5), (-4, 2), (1.5, 2)
Answers
The points of the polygon are:
(1.5, 2)
(-4, 2)
(-4, -4.5)
(1.5, -4.5)
Option D is the correct answer.
We have,
From the coordinate plane,
There are 4 points that form the polygon,
The points are all in ordered pairs.
So,
(1.5, 2)
(-4, 2)
(-4, -4.5)
(1.5, -4.5)
Thus,
The points of the polygon are:
(1.5, 2)
(-4, 2)
(-4, -4.5)
(1.5, -4.5)
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ1
14) -1 -10a < -1 or 10 + 3a ≤-5
Answers
The solution to the inequality is:
0 < a or a ≤ -5
How to solve the inequality?
An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.
We have: -1 -10a < -1 or 10 + 3a ≤ -5 and we want to solve for the variable "a".
-1 -10a < -1 or 10 + 3a ≤ -5
-10a < -1 + 1 or 3a ≤ -5 - 10
-10a < 0 or 3a ≤ -15
a < 0/(-10) or a ≤ -15/3
a > 0 or a ≤ -5
Since a a > 0 is the same as 0 < a. We can say:
0 < a or a ≤ -5
Thus, 0 < a ≤ -5
Learn more about inequality on:
brainly.com/question/25275758
#SPJ1
A student named Foofy conducted a survey. In her sample, 83% of mothers employed outside the home would rather be home raising children. She reported that "the statistical analyses prove that most working women would rather be at home." What is the problem with this conclusion? Using everything we've learned in the class so far, how could we fix her report to make it better?
Answers
The problem with Foofy's conclusion is that she drew a general conclusion from a sample without considering potential biases or confounding factors. To make the report better, she could provide more context, acknowledge potential biases, and make it clear that her conclusion only applies to her sample.
The problem with Foofy's conclusion is that it is based on a biased sample. She only surveyed mothers who were employed outside the home, which does not represent all working women. Therefore, her conclusion cannot be generalized to all working women.
To make the report better, Foofy could specify that her conclusion only applies to mothers who are employed outside the home, rather than all working women.
Additionally, she could improve the study's sampling method by randomly selecting a more representative sample of working women, rather than only surveying mothers who are employed outside the home.
To know more about biased sample:
https://brainly.com/question/29257227
#SPJ1
The list represents the number of students who checked books out of the library in a 10-day period.
48, 63, 75, 40, 32, 52, 35, 68, 83, 40
Find the median and interpret its meaning as it relates to the number of students checking out books.
A. The median is 32, and it represents the difference in the lowest and highest number of students who checked books out.
B. The median is 83, and it represents the highest number of students who checked books out.
C. The median is 40, and it represents the most common number of books that students checked out.
D. The median is 50, and it represents the typical number of students who checked books out.
Answers
The median number of students who checked books out of the library in a 10-day period is 50.
We have,
To find the median of the list, we need to first put the numbers in order from least to greatest:
32, 35, 40, 40, 48, 52, 63, 68, 75, 83
The median is the middle value in the list.
If there is an odd number of values, the median is the middle value.
If there is an even number of values, the median is the average of the two middle values.
There are 10 values, which is an even number.
The middle values are 48 and 52.
Median = (48 + 52) / 2
Median = 50
So the median number of students who checked books out of the library in a 10-day period is 50.
Interpretation:
The median represents the middle value in the list, which in this case is 50.
This means that half of the values in the list are greater than 50, and half of the values are less than 50.
In terms of the number of students checking out books, this means that 50 is the typical number of students who checked books out of the library during the 10-day period.
Thus,
The median number of students who checked books out of the library in a 10-day period is 50.
Learn more about the median here:
https://brainly.com/question/28060453
#SPJ1
help me please fr i just need these questions
Answers
The base area of the cylinder is 78.54 ft².
The height of the cylinder is 2 ft.
How to find the height and base area of the cylinder?The cylinder has a volume of 157.08 ft cube and the radius of the cylinder is 5 ft.
Therefore, the area of the base of the cylinder can be found as follows:
base area of the cylinder = πr²
base area of the cylinder = 3.1416 × 5²
base area of the cylinder = 3.1416 × 25
base area of the cylinder = 78.54 ft²
Therefore, let's find the height of the cylinder.
volume of the cylinder = πr²h
where
h = height of the cylinder157.08 = 78.54 h
divide both sides by 78.54
h = 157.08 / 78.54
h = 2 ft
Therefore,
height of the cylinder = 2 ft
learn more on cylinder here: https://brainly.com/question/16134180
#SPJ1
Solve the equation and check your solution. 5 t = 7 and one-half Multiply 5t by 5; the answer is 7 and one-half. Divide 5t by 5; the answer is 7 and one-half. Divide both sides by 5; the answer is 1 and one-half. Multiply both sides by 5; the answer is 37 and one-half.
Answers
Answer: the answer is 13 and one-half
Step-by-step explanation:
C
Step-by-step explanation:
Find the value of x,y and z in the rhombus below
Answers
Answer:
-10x - 8 + 98 = 180
-10x + 90 = 180
-10x = 90
x = -9
-y - 5 = 98
-y = 103
y = -103
-2z + 8 + 98 = 180
-2z + 106 = 180
-2z = 74
z = -37
Rewrite the logarithmic equation below as an equivalent exponential equation.
log3(N) = x
Answers
[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log_3(N)=x\implies 3^x=N[/tex]
Ellie is going to see a movie and is taking her 2 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $5 each. How much total money would Ellie have to pay for her family if she were to buy 4 snacks for everybody to share? How much would Ellie have to pay if she bought x snacks for everybody to share?
Total cost with 4 snacks:
Total cost with x snacks:
Answers
Answer:
The amount of money spent on tickets and snacks will be $39 and $20. And the total amount is $59.
Step-by-step explanation:
The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Ellie is going to see a movie and is taking her 2 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $5 each.
The amount of tickets is given as,
Ticket's amount = 3 x $13
Ticket's amount = $39
Then the amount spent on snacks is given as,
Snack's amount = 4 x $5
Snack's amount = $20
Then the total amount is given as,
Total amount = $39 + $20
Total amount = $59
The amount of money spent on tickets and snacks will be $39 and $20. And the total amount is $59.
Use mathematical induction to prove that the statement is true for all positive integers: 30 + 138 + 318...
Answers
The mathematical induction has been used to prove that the statement is true for all positive integers: 30 + 138 + 318.
What is mathematical induction?In mathematics, mathematical induction is a way of proving propositions. The method entails demonstrating that a statement is true for a base case, usually the smallest feasible value, and then demonstrating that if the statement is true for some value, it is likewise true for the next value.
The key to the proof is the inductive step. It is typically accomplished by assuming that the statement is true for some value and then utilizing that assumption to establish that the statement is true for the following value.
Check the attachment.
Learn more about induction on
https://brainly.com/question/29503103
#SPJ1
Two buses leave a station at the same time and travel in opposite directions. One bus travels 8 mih slower than the other. If the two buses are 432 miles apart after 3 hours, what is the rate of each bus?
Answers
The rate of each bus which leave a station at the same time are 76 mi/h and 68 mi/h respectively.
Given that,
Two buses leave a station at the same time and travel in opposite directions.
Let x be the distance travelled by the the first bus in 3 hours.
Then the distance travelled by the other bus in 3 hours = 432 - x
Rate of first bus = x/3 miles per hour
Rate of second bus = (432 - x) / 3 miles per hour
One bus travels 8 mi/h slower than the other bus.
x/3 - (432 - x) / 3 = 8
(x - 432 + x) / 3 = 8
2x - 432 = 24
2x = 456
x = 228
Rate of one bus = 228/3 = 76 mi/h
Rate of second bus = (432 - 228)/3 = 68 mi/h
Hence the rate of each bus are 76 mi/h and 68 mi/h respectively.
Learn more about Rate here :
https://brainly.com/question/16604920
#SPJ1
b) Convert the pressure you calculated into pound per square inch (PSI) using the following relationship:
1 PSI = 6896.6 kg/m-sec2
Answers
The pressure of 1000 Pa is equal to 0.145 pound per square inche(PSI)
Let the pressure be 1000 pascal
We have to convert it to pound per square inche
1 psi = 6896.6 Pa
Therefore, to convert 1000 Pa to psi, we can divide by this conversion factor:
1000 Pa ÷ 6896.6 Pa/psi
= 0.145 psi
Hence, the pressure of 1000 Pa is equal to 0.145 psi.
To learn more on Unit of Measurement click:
https://brainly.com/question/15402847
#SPJ1
In an online game, you receive –3 points for every banana your character slips on during a race. The total points from slipping on bananas during one race were at most –27. When the character slips, it takes 2 seconds for him to resume the race. Write an inequality to find the least number of bananas your character slipped on.
Answers
An inequality to find the least number of bananas your character slipped on: -3x ≤ -27
And the least amount of race time character took to slip on bananas = 18 seconds.
Let us assume that x represents the number of bananas your character slipped on.
Here, based on the informtaion we get an inequality to find the least number of bananas your character slipped on -3x ≤ -27
We solve this inequality to find the least number of seconds of race time.
-3x ≤ -27
⇒ x ≥ 9
When the character slips, it takes 2 seconds for him to resume the race.
Therefore, the least amount of race time your character took to slip on bananas would be,
9 × 2 = 18 seconds
Learn more about inequality here:
https://brainly.com/question/30239204
#SPJ1
The complete question is:
In an online game, you receive -3 points for every banana your character slips on during a race. The total points from slipping on bananas during one race were at most -27. When the character slips, it takes 2 seconds for him to resume the race. Write and solve an inequality to find the least number of bananas your character slipped on. At least how many seconds of race time
Which equation represents a direct variation?
Oy - 4x = 8
Oy + 2 = 7x
Oy - 3x = 0
O y = 5x - 2
Answers
Answer:
The equation that represents a direct variation is y = 5x - 2.
In a direct variation, one variable is proportional to the other variable, which means that as one variable increases or decreases, the other variable also increases or decreases in direct proportion. The general form of an equation that represents direct variation is y = kx, where k is a constant of proportionality.
In this case, the equation y = 5x - 2 is in the form of y = kx, where k = 5. This means that as x increases or decreases, y will also increase or decrease proportionally, with a constant rate of change of 5. Therefore, this equation represents a direct variation.
Is this right. Don’t know the difference between the stratified and systematic random. Pic below
Answers
The difference between the stratified and systematic random sampling is explained below.
Systematic random sampling is a method where every Kth person of the population is chosen to be part of the sample, whereas stratified random sampling is a method where the population is first divided into subgroups, and then drawing a simple random sample from each subgroup.
Learn more about stratified and systematic random sampling click;
https://brainly.com/question/28963265
#SPJ1
Determine the measure of angle Q.
Not possible
20°
30°
25°
Answers
The angle that is marked as Q has a value of 30°
What is cosine rule?The cosine rule, also known as the law of cosines, is a mathematical formula used to calculate the length of a side or the measure of an angle of a triangle.
Cosine rule useful in solving triangles when you know the lengths of two sides and the measure of the angle between them, or when you know the lengths of three sides.
By the use of the cosine rule, we have that;
7^2 = 12^2 + 14^2 - 2(12 * 14)Cos Q
49 = 144 + 196 -336CosQ
49- 340 = -336CosQ
-291= -336CosQ
Q = Cos-1 (-291/-336)
Q = 30
Learn more about cosine rule:https://brainly.com/question/26952873
#SPJ1
PLEASE HELP ME SOLVE THIS!!!!
Answers
The meaning of the absolute value of -5.5 is given as follows:
The temperature decreases 5.5 degrees.
What is the absolute value of a number?The absolute value of a number is the number without the signal, for example:
|-2| = |2| = 2.
The number in this problem is given as follows:
-5.5.
Hence:
The negative sign means that the temperature decreased.The absolute value of 5.5 means that the temperature decreased by 5.5 degrees.Hence the second option is the correct option in the context of this problem.
More can be learned about the absolute value of a number at brainly.com/question/24368848
#SPJ1
Find the surface area of the composite solid. Round your answer to the nearest hundredth.
The surface area is about square centimeters.
WILL GIVE BRAINLIEST
Answers
The surface area of the composite figure is about 98.56 sq.cm
What is the surface area of the composite figure?The composite figure is made up of a cylinder and a cuboid.
The formula for surface area of a cylinder is:
A = 2πr² + 2πrh
In this case, we only have top and not bottom. Thus:
A = πr² + 2πrh
A = π(1)² + 2π(1 * 6)
A = 37.7 sq.cm
Surface area of cuboid is:
A = 2(4 * 4) + 4(2 * 4) - π(1)²
A = 32 + 32 - π
A = 60.86 sq.cm
Total surface area = 37.7 sq.cm + 60.86 sq.cm
= 98.56 sq.cm
Read more about surface area at: https://brainly.com/question/16519513
#SPJ1
the lowest common multiple of 36 30
Answers
Answer:
180
Step-by-step explanation:
To find the lowest common multiple (LCM) of 36 and 30, we can use the prime factorization method:First, we can find the prime factorization of each number:36 = 2^2 * 3^230 = 2 * 3 * 5Next, we can take the highest power of each prime factor that appears in either number and multiply them together.The highest power of 2 is 2^2 = 4.The highest power of 3 is 3^2 = 9.The highest power of 5 is 5^1 = 5.Multiplying these together, we get:LCM(36, 30) = 2^2 * 3^2 * 5 = 180Therefore, the lowest common multiple of 36 and 30 is 180.
Answer: 180
Step-by-step explanation:
To find the lowest common multiple (LCM) of two numbers, we need to find the smallest number that is a multiple of both of them.
One way to do this is to find the prime factorization of each number and then take the product of all the prime factors, with each factor occurring as many times as it appears in the factorization of either number.
The prime factorization of 36 is 2^2 × 3^2, and the prime factorization of 30 is 2 × 3 × 5. Therefore, the LCM of 36 and 30 can be found by taking the product of the highest power of each prime factor that appears in either factorization:
LCM(36, 30) = 2^2 × 3^2 × 5 = 180
Therefore, the lowest common multiple of 36 and 30 is 180.
QUICK I’LL MARK YOU BRAINLIEST!! Help me solve this problem!
Answers
C: the median is 5 because the line is always at the half mark and the half mark is the median
What is the value of S?
Answers
S +15-15 = -10 - 15
S = -25
Consider the sequence 4,323,313,3
Answers
The explicit rule for the sequence 4, 3 2/3, 3 1/3, 3.... is f(n) = 4 - 1/3(n - 1)
Finding the explicit rule for the sequenceFrom the question, we have the following parameters that can be used in our computation:
4, 3 2/3, 3 1/3, 3....
In the above sequence, we can see that 1/2 is subtracted from the previous term to get the new term
Take for instance
2nd = 4 - 1/3 = 3 2/3
3rd = 3 2/3 - 1/3 = 3 1/3
4th = 3 1/3 - 1/3 = 3
And so on
This means that
First term, a = 4Common difference, d = -1/3So, the explicit rule is
f(n) = a + (n - 1)d
This gives
f(n) = 4 - 1/3(n - 1)
Hence, the explicit formula is f(n) = 4 - 1/3(n - 1)
Read more about sequence at
brainly.com/question/30499691
#SPJ1
Complete question
Consider the sequence 4,3 2/3,3 1/3, 3....
What is the explicit rule for this sequence
What is the radius of X?
Answers
The radius of the diameter X is 6cm. Option D
How to determine the radius
To determine the radius of the circle, we have;
It is important to that the formula for diameter
The formula for calculating the diameter is given as;
d = r/2
Such that the parameters are given as;
d is the diameter of the circle.r is the radius of the circle.From the information given, we have that;
Diameter, d = 12cm
Now, we have to substitute the values
Radius =diameter/2
Radius = 12/2
Radius = 6cm
Learn more about circles at: https://brainly.com/question/24375372
#SPJ1
Please help asap please
Answers
The expansion and simplification of the expression, (3x - 2)(2x² + 5x - 1) is 6x³ + 11x² - 13x + 2.
How to simplify and expand an expression?In order to expand and simplify an expression, we need to multiply out the brackets and then simplify the resulting expression by collecting the like terms.
Therefore, let's expand and simplify the expression.
Hence,
(3x - 2)(2x² + 5x - 1)
Therefore, let's multiply
(3x - 2)(2x² + 5x - 1) = 6x³ + 15x² - 3x - 4x² - 10x + 2
6x³ + 15x² - 3x - 4x² - 10x + 2 = 6x³ + 15x² - 4x² - 3x - 10x + 2
6x³ + 15x² - 4x² - 3x - 10x + 2 = 6x³ + 11x² - 13x + 2
learn more on expression here: https://brainly.com/question/28400521
#SPJ1
Nine to the second power +4 to the second power
Answers
Answer:
Step-by-step explanation:
9 * 9 = 81
4 * 4 = 16
81 + 16 = 97
Solve for x. Assume that lines which appear to be diameters are actual diameters.
Answers
Answer:
x = 9
Step-by-step explanation:
We Know
A circle is 360°
An angle is 85° & one is 130°
Find x
We Take
85° + 130° + 16x + 1 = 360°
216 + 16x = 360°
16x = 144°
x = 9
In a large clinical trial, 395,487 children were randomly assigned to two groups. The treatment group consisted of 198,610 children given a vaccine for a certain disease, and 27 of those children
developed the disease. The other 196,877 children were given a placebo, and 104 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the
values of n₁. P. 9₁. ₂. P₂. Q2. P, and q
Answers
Answer:
n₁ = 198,610
P₁ = 27/198,610
n₂ = 196,877
P₂ = 104/196,877
q₁ = 1 - P₁
q₂ = 1 - P₂
Step-by-step explanation:
In which quadrant is point B located?
Answers
Answer:
Step-by-step explanation:
Quadrant II
A is in Quadrant I then you count counterclockwise
B quadrant II (2)
C Quadrant III (3)
D Quadrant VI (4)
Roman numerals are used to for quadrant number
PLEASE ANSWER TODAY FAST
New homeowners hire a painter to paint rooms in their house. The painter pays $100 for supplies and charges the homeowners $25 for each room they want painted.
Which of the following graphs shows the relationship between the amount of money the painter earns, in dollars, and the number of rooms he paints?
Answers
Answer:
I can explain how the relationship between the amount of money the painter earns and the number of rooms he paints can be represented in a graph.
The amount of money the painter earns depends on the number of rooms he paints. The painter charges $25 for each room he paints, so the amount of money he earns can be calculated by multiplying the number of rooms painted by $25. However, he also has to pay $100 for supplies regardless of the number of rooms painted.
Therefore, the relationship between the amount of money the painter earns and the number of rooms painted is a linear function, where the y-intercept (when no rooms are painted) is -$100 and the slope (how much he earns per room painted) is $25. This relationship can be represented in a graph as a straight line with a positive slope that intersects the y-axis at -$100.
I hope this helps
Option C is the correct graph for the given condition.
What is the significant use of graphs in real life?Graphs are a not unusual place technique to visually illustrate relationships withinside the statistics. The reason for a graph is to provide statistics that are too severe or complex to be defined appropriately withinside the textual content and in much less space.
Let's assume that the number of rooms painted is represented by the variable "x". The cost of painting x rooms can be calculated using the following equation:
Cost = 100 + 25x
The $100 is a fixed cost for the supplies, and the $25 is the cost per room painted. The variable "x" represents the number of rooms painted, which can vary.
We can draw a graph of this equation by plotting points for different values of "x" and connecting them with a straight line. For example:
If x = 0, then Cost = 100 + 25(0) = $100, which is the y-intercept (where the line intersects the y-axis).If x = 1, then Cost = 100 + 25(1) = $125, which gives us the point (1, 125) on the line.If x = 2, then Cost = 100 + 25(2) = $150, which gives us the point (2, 150) on the line.If x = 3, then Cost = 100 + 25(3) = $175, which gives us the point (3, 175) on the line.We can continue this process to find additional points, and then plot them on a coordinate grid. Here's what the graph might look like:
The line passes through the point (0, 100), which is the y-intercept. As we move to the right along the x-axis (increasing the number of rooms painted), the cost increases at a constant rate of $25 per room. The slope of the line is therefore 25.
The equation for the line is in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept. In this case, we have:
Cost = 25x + 100
This equation gives us the cost of painting x rooms, where x can be any non-negative integer.
The correct graph is option C
Learn more about graphs here:
https://brainly.com/question/17267403
#SPJ2
