The volume of the given solid by counting the number of cubes contained in the solid is 2016 cubic units. The solid consists of 72 cubes in the first layer and 64 cubes in the second layer. The height of the solid is 14 units.
To find the volume of the given solid, we need to count the number of unit cubes contained in it. Let's see the given solid below,As we can see from the above image, the solid is made up of 2 layers of cubes.
The first layer contains 72 unit cubes, and the second layer contains 64 unit cubes.
Therefore, the total number of cubes in the solid = 72 + 64 = 136 unit cubes.
We know that the height of the given solid is 14 units, and all cubes are of the same size.
Hence,
the volume of the given solid = Total number of cubes x Volume of each cube= 136 x (1 unit × 1 unit × 1 unit) = 136 cubic units.
The volume of the given solid is 136 cubic units, which can also be written as 2016 cubic units when we write the volume of the solid in cm³ (cubic centimeters).
Composite solid shapes are three-dimensional objects that can be described as a combination of other shapes. To determine the volume of the given solid, we will need to count the number of cubes that are contained in it.
We can use the formula, volume = Total number of cubes x Volume of each cube to find the volume of the given solid.
The volume of the given solid is 136 cubic units when we consider the unit cubes that make up the solid.
The solid consists of 2 layers of cubes, where the first layer contains 72 unit cubes, and the second layer contains 64 unit cubes.
By multiplying the total number of cubes by the volume of each cube, we can determine that the volume of the given solid is 136 cubic units. We can also express this volume in cm³ (cubic centimeters) as 2016 cubic units.
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an account with an apr of 4% and quarterly compounding increases in value every three months by
a.1%
b.1/4%
c.4%
The account increases in value by 1% every quarter, which is equivalent to 1/4% every month.
Savings interest is calculated on a daily basis and deposited into the account on the first day of the next quarter. The interest rate will depend on the balance in the account. Now it's between 3% and 3.5%.
To find the increase in value for an account with an APR of 4% and quarterly compounding, we'll first need to convert the APR to a quarterly interest rate.
1. Divide the APR by the number of compounding periods in a year: 4% / 4 = 1%.
2. The account increases in value by 1% every quarter.
Your answer: a. 1%
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The line in the xyxyx, y-plane above represents the relationship between the height h(x)h(x)h, (, x, ), in feet, and the base diameter xxx, in feet, for cylindrical Doric columns in ancient Greek architecture. How much greater is the height of a Doric column that has a base diameter of 555 feet than the height of a Doric column that has a base diameter of 222 feet
The height of a Doric column that has a base diameter of 555 feet is 666 feet greater than the height of a Doric column that has a base diameter of 222 feet.
Given that the line in the xyxyx, y-plane above represents the relationship between the height h(x)h(x)h, (, x, ), in feet, and the base diameter xxx, in feet, for cylindrical Doric columns in ancient Greek architecture.
The question is asking us to find the difference between the height of a Doric column that has a base diameter of 555 feet than the height of a Doric column that has a base diameter of 222 feet.
Let's solve the problem.
:Let the height of a Doric column with base diameter 222 feet be y1 and the height of a Doric column with base diameter 555 feet be y2.
Given equation of the line in the xy-plane as, y=2x+7
From the above equation, we have
y1=2(222)+7 y1=451 feet (approximately)
y2=2(555)+7 y2=1117 feet (approximately)
The height of the Doric column with a base diameter of 555 feet is 1117 feet and the height of the Doric column with a base diameter of 222 feet is 451 feet. So, the difference in their heights is 1117 - 451 = 666 feet.
Thus, the height of a Doric column that has a base diameter of 555 feet is 666 feet greater than the height of a Doric column that has a base diameter of 222 feet.
The height of a Doric column with a base diameter of 555 feet is 666 feet greater than the height of a Doric column with a base diameter of 222 feet. Using the equation of the line in the xy-plane y=2x+7, we have calculated the height of a Doric column with base diameter 222 feet as 451 feet (approximately) and the height of a Doric column with base diameter 555 feet as 1117 feet (approximately). So, the difference in their heights is 1117 - 451 = 666 feet.
Therefore, the height of a Doric column that has a base diameter of 555 feet is 666 feet greater than the height of a Doric column that has a base diameter of 222 feet.
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Makayla’s test grades increased from 80 to 95. What is the percent of increase? Write the number only, no percent sign.
Answer:
18.75
Step-by-step explanation:
80 = 100%
1% = 100%/100 = 80/100 = 0.8
the grades changed by 95 - 80 = 15.
how many % is that ?
we find the answer by checking how often 1% fits into 15. and we do this kind of check by division :
15 / 0.8 = 18.75
so, the grades changed by 18.75%.
The table shows the type of super power that 36 students wish they had. Each student could only pick one super power.
Answer:
Step-by-step explanation:
Don't use brainly it's a waste of time
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going or
the field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of th
population. Which was most likely true of the representative sample?
The representative sample contained all 160 students.
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls.
Answer:
C
Step-by-step explanation:
Because I said so
(Chapter 10) If x = f(t) and y = g(t) are twice differentiable, then (d^2y)/(dx^2) =(d^2y/dt^2)/ (d^2x/dt^2)
The statement is not true in general. The correct formula relating the second differential equations of y with respect to x and t is:
(d²y)/(dx²) = [(d²y)/(dt²)] / [(d²x)/(dt²)]
This formula is known as the Chain Rule for Second Derivatives, and it relates the rate of change of the slope of a curve with respect to x to the rate of change of the slope of the curve with respect to t. However, it is important to note that this formula only holds under certain conditions, such as when x is a function of t that is invertible and has a continuous derivative.
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luis says that the probability of getting a yahtzee in one roll of the dice is a 1 6b 5 . explain why luis is wrong.
In the given problem, we find that Luis is wrong because the probability of getting a Yahtzee in one roll of the dice is 1/6^5.
Luis is wrong because the probability of getting a Yahtzee in one roll of the dice is 1/6^5. This is approximately 0.00077 or 0.077%.
A Yahtzee is a combination of five dice with the same number on each dice. The probability of rolling any specific combination of five dice is 1/6^5 and this is because each dice has a 1/6 probability of showing the required number.
The probability of rolling a Yahtzee in one roll of the dice is 6 times the probability of rolling any specific combination, which is 6 x 1/6^5 or 1/6^4 since there are only six possible combinations of a Yahtzee (one for each number on the dice). Therefore, the correct probability of getting a Yahtzee in one roll of the dice is 1/6^5 and not 1/6b5 as Luis had stated.
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if you consume seven 28.35-gram (one-ounce) bars this week from a brand at the mean contamination level, what is the probability that you consume one or more insect fragments in more than one bar?
The probability of consuming at least one insect fragment in more than one bar is 0.3011.
Given that you consumed seven 28.35-gram (one-ounce) bars this week from a brand at the mean contamination level. The probability of finding one or more insect fragments in a 28.35-gram chocolate bar that is produced with the mean level of contamination is 0.4875.
The probability that you consume one or more insect fragments in a single bar is 0.4875The probability that you will not consume an insect fragment in a single bar is 0.5125
The probability that you will not consume an insect fragment in any of the seven bars is 0.5125⁷ = 0.0236The probability that you consume one or more insect fragments in more than one bar is 1 - 0.0236 = 0.9764The probability that you consume one or more insect fragments in more than one bar is 0.9764.
The probability that you consume one or more insect fragments in more than one bar is 0.3011.
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-5n+6> -7(5n-6)-6n what is that simplified
Answer:
n>1
Step-by-step explanation:
Answer:
n>1
Step-by-step explanation:
\( - 5n + 6 > - 35n + 42 - 6n \\ 36n - 36 > 0 \\ 36(n - 1) > 0 \\ n > 1\)
A tall skyscraper nicknamed the cathedral of commerce in new york city, new york. the skyscraper stands 52 stories with a stone surface to resemble gothic architecture. what is the name of the building above?
The tall skyscraper in New York City, New York, that is often nicknamed the "cathedral of commerce" is known as the Woolworth Building.
It is a 52-story building with a stone surface that resembles Gothic architecture. The Woolworth Building is located at 233 Broadway and was completed in 1913. It was designed by architect Cass Gilbert and was once the tallest building in the world.
The building served as the headquarters for the Woolworth Company and is now used for various purposes, including office spaces and residential units. It is considered an iconic landmark in New York City and is recognized for its distinctive design and historical significance.
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Justin’s doctor said that the expression StartFraction x + y + 5 over 2 EndFraction, where x and y are his parents’ current heights in inches, gives an estimate of how tall Justin will be as an adult. Justin’s work evaluating the formula is shown below.
Mom’s height = 54 inches
Dad’s height = 71 inches
StartFraction 71 + 54 + 5 over 2 EndFraction = 71 + 27 + 5 = 103 inches
What error did Justin make?
He should have made x equal 54 and y equal 71.
He should have added the values in the numerator before dividing by 2.
He should have divided the 71 by 2 instead of the 27.
He should have made the numerator 76 + 59.
Mark this and return
The error Justin made in his calculation is "He should have added the values in the numerator before dividing by 2".
The correct answer choice is option B
What error did Justin make?(x + y + 5) / 2
Where,
x and y are his parents’ current heights in inches,
Mom’s height = 54 inches
Dad’s height = 71 inches
Substitute into the expression
(71 + 54 + 5) / 2
= 130/2
= 65 inches
Justin's work:
( 71 + 54 + 5 ) / 2
= 71 + 27 + 5
= 103 inches
Therefore, Justin should have added the numerators before dividing by 2.
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In a group of 200 children 35 are allergic to peanut. What percentage of children are allergic to peanut?
Answer:
17.5%
Step-by-step explanation:
We know that there are 35 out of 200 allergic to peanut
So we take
35 divided by 200, then times 100% = 17.5%
So, 17.5 of children are allergic to peanut
Your friend really wants to buy the newest coolest cell phone which will cost him $310 he gets a job detailing cars and suvs and plans to save all the money he earns if he gets paid $60 to detail a car and $85 to detail an suv which of the following inequalities can be used to determine how many of each he must detail in order to earn at least $310
Answer:
\(60c + 85s \geqslant 310\)
Step-by-step explanation:
He needs to earn at least $310 so $60 per car is 60c and $85 per SUV is 85s. So the answer is the third option.
The required inequality:
60x + 85y >= 310
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
Given, a person gets paid $60 to detail a car and $85 to detail an SUV.
Let's assume he needs to detail x number of cars and y number of SUVs to earn at least $310.
Then, the amount earned by detailing x cars and y SUVs can be expressed as:
60x + 85y
According to the problem statement, he wants to earn at least $310, so we can write the inequality:
60x + 85y >= 310
This is the required inequality to determine the number of cars and SUVs he needs to detail in order to earn at least $310.
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Please help due now
Answer:
Casey's Function has the greater rate of change
Step-by-step explanation:
The graph shows a ROC of 5/1
Get a common denominator (4)
5/1 * 4/4 = 20/4
20/4 > 13/4
Casey's function has a greater ROC.
write this as a conditional statement, converse inverse and counterpositive Mrs.smith has a dog that is not a poodle.
Problem
write this as a conditional statement, converse inverse and counterpositive
Mrs.smith has a dog that is not a poodle.
Solution
Conditional: If Mrs smith has a dog THEN is not a poodle
Converse Inverse: If a dog is a poodle then is from Mrs Smith
Counterpositive: If the dog is NOT a poodle then is NOT from Mrs Smith
The area of a sector of a circle is given by the equation uppercase A = StartFraction pi r squared uppercase S Over 360 EndFraction, where r is the radius of the circle and S is the angle measure of the sector.
Answer:360A/pi ^2
Step-by-step explanation:
How do you solve a differential equation with exponential equations?
To solve a differential equation with exponential equations, start by isolating the dependent variable and any coefficients that may exist on either side of the equation. Next, take the natural logarithm of both sides of the equation and use the properties of logarithms to simplify the equation. Solve for the dependent variable. Finally, take the exponential of both sides of the equation and simplify it to get the solution.
For example, consider the differential equation dy/dx = 2y.
Isolate the dependent variable to get y = dx/2.
Then, take the natural logarithm of both sides to get ln(y) = ln(dx/2).
Use the property ln(a/b) = ln(a) - ln(b) to get ln(y) = ln(dx) - ln(2).
Solve for ln(y) to get ln(y) = ln(dx) - ln(2).
Then, take the exponential of both sides to get \(y = e^{ln(dx) - ln(2)}\) and simplify to get the solution \(y = (dx/2) e^{ln(dx)}\).
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what is 5 3/10 times 1 7/10
let x be the number of multiple choice questions a student gets right on a 40-question test, when each question has 4 choices (and only one of the 4 choices is correct) and the student is completely guessing.the random variable x is
The random variable x represents the number of multiple-choice questions a student gets right on a 40-question test when they are completely guessing.
When a student is completely guessing on a multiple-choice test with 4 choices for each question, the probability of guessing the correct answer for any given question is 1 out of 4, or 1/4. Since the student is guessing independently for each question, the number of questions they get right follows a binomial distribution.
In this case, the student has a 1/4 chance of getting each question right and a 3/4 chance of getting it wrong. Since there are 40 questions in total, the random variable x represents the number of questions the student gets right out of those 40. The probability mass function of x can be calculated using the binomial distribution formula, which gives the probability of getting exactly x questions right. The expected value of x can also be calculated, which represents the average number of questions the student is expected to get right.
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Fine the equation of the line.
Answer:
what is the line.............
Find the value of x in each case
Answer:
Pag x na wag na balikan wag ka marupok siz
Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the given plane. x + 3y + 4z = 9_______.
The largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 3y + 4z = 9 has dimensions x = 1.5, y = 1, and z = 2.25, with a maximum volume of 3.375 cubic units.
To find the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 3y + 4z = 9, we can use the method of Lagrange multipliers.
Let the sides of the rectangular box be represented by the variables x, y, and z. We want to maximize the volume V = xyz subject to the constraint x + 3y + 4z = 9.
The Lagrangian function is then given by L = xyz + λ(x + 3y + 4z - 9).
Taking the partial derivatives of L with respect to x, y, z, and λ, and setting them equal to zero, we get:
yz + λ = 0
xz + 3λ = 0
x*y + 4λ = 0
x + 3y + 4z - 9 = 0
Solving these equations simultaneously, we get:
x = 1.5, y = 1, z = 2.25, and λ = -0.5625
Therefore, the maximum volume of the rectangular box is V = 1.512.25 = 3.375 cubic units.
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FILL IN THE BLANK. In a(n) _____, team members prepare to lunge at each other to achieve their objectives.a. adaptationb. scrumc. resequencing sessiond. pool
For the purpose of content marketing, the strategies portion of strategic planning focuses on how content marketing can help achieve certain goals and objectives.
This is because strategies are the overarching plans that guide the actions and decisions of a content marketing program.
A content marketing strategy defines the target audience, key messages, channels, and metrics for success. It outlines how content will be created, distributed, and measured in order to achieve specific business objectives.
The tactics portion of strategic planning is more focused on the specific actions and initiatives that will be taken to execute the strategy. Tactics might include things like social media campaigns, email marketing, webinars, or video production. While tactics are important, they should always be guided by the overarching strategy in order to ensure that they are aligned with business goals and objectives.
Messages are the specific pieces of content that are created as part of a content marketing program. While messages are important for engaging the audience and driving action, they are not the primary focus of strategic planning. Finally, situational analysis is an important step in the planning process, but it is not specific to content marketing. A situational analysis is a broad assessment of the business environment and competitive landscape, which is used to inform overall business strategy.
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complete question:
For the purpose of content marketing, the ______ portion of strategic planning focuses on how content marketing can help achieve certain goals and objectives.A) strategiesB) tacticsC) messagesD) situational analysis
a spinner has 18 equal-sized sectors labeled 1 through 18. the spinner is spun once. what is the probability that the spinner lands on an even number or a number greater than 10?
The probability that the spinner lands on an even number or a number greater than 10 is 11/18.
There are two cases where the spinner can land on an even number or a number greater than 10:
Case 1: The spinner lands on an even number.
There are 9 even numbers on the spinner: 2, 4, 6, 8, 10, 12, 14, 16, and 18. The probability of the spinner landing on an even number is 9/18 = 1/2.
Case 2: The spinner lands on a number greater than 10.
There are 7 numbers greater than 10 on the spinner: 11, 12, 13, 14, 15, 16, and 18. The probability of the spinner landing on a number greater than 10 is 7/18.
To find the probability of either event occurring, we add the probabilities of the two cases and subtract the probability of both occurring simultaneously (since the numbers 12, 14, and 16 are even and greater than 10). Therefore, the probability of the spinner landing on an even number or a number greater than 10 is:
(1/2) + (7/18) - (3/18) = 11/18
Thus, the probability that the spinner lands on an even number or a number greater than 10 is 11/18.
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1. What are the 3 conditions for a function to be continuous at xa? 2. the below. Discuss the continuity of function defined by graph 3. Does the functionf(x) = { ***
The three conditions for a function to be continuous at a point x=a are:
a) The function is defined at x=a.
b) The limit of the function as x approaches a exists.
c) The limit of the function as x approaches a is equal to the value of the function at x=a.
The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.
The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.
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Solve by factoring.
x2 - 9x - 22 = 0
Solve each proportion.
5/2=6/x
Wat is x
Answer:
12/5
Step-by-step explanation:
5/2 = 6/x
in order to solve for x, you can do cross multiplication hence,
5x = 6(2)
x = 12/5
Answer:
12/5
Step-by-step explanation:
5/2=6/x
5x=12
X=12/5.
So the answer is 12/5
Manny has 48 feet of wood. He wants to use all of it to create a border around a garden. The equation 2 l plus 2 w equals 48 can be used to find the length and width of the garden, where l is the length and w is the width of the garden. If Manny makes the garden 15 feet long, how wide should the garden be?
Answer:
2l+2w=48
l=15
30+2w=48
2w=18
w=9
Step-by-step explanation:
did it
Andres needs a total of $370 to buy a new bicycle. He has $40 saved. He earns $15 each week delivering newspapers. How many weeks will Andres have to deliver papers to have enough money to buy the bicycle?
Answer:
Step-by-step explanation:
Answer:
22 weeks
Step-by-step explanation:
Equation: 40 + 15w = 370
370 - 40 = 330
330/15 = 22
22 weeks is your answer.
Hopefully this helps you
pls mark brainlest
Marcos mixes 504 ounces of lemonade. he wants to fill the 14 cups he has with equal amounts of lemonade how much lemonade should he put in each cup/
Answer:
36
Step-by-step explanation:
Take 504 ounces of that lemonade and divide that into 14 cups.
And you get 36 ounces for each cup.
Answer:
36
Step-by-step explanation:
504 divided by 14 = 36