The force required to keep a hockey puck sliding at a constant velocity, neglecting ice friction and air resistance, is equal to its weight. The correct option is "equal to its weight."
When a hockey puck is set in motion across a frozen pond and there is no ice friction or air resistance, the only force acting on the puck is its weight, which is the force due to gravity pulling it downward. According to Newton's first law of motion (the law of inertia), an object at a constant velocity will continue to move at that velocity unless acted upon by an external force.
Since the puck is already in motion and we want to maintain its constant velocity, the force required to counteract its weight and keep it sliding is equal to its weight. This is because the weight of an object is the force exerted on it by gravity, and in the absence of other forces, an equal and opposite force is needed to maintain the object's motion without acceleration.
Learn more about Newton's first law here:
https://brainly.com/question/29775827
#SPJ11
What’s the median of 23,56,14,18,23,19
We first arrange the numbers in ascending order to get the one in the middle.
14, 18, 19, 23, 23, 56.
Here, the middle numbers are 19 and 23.
Total number = 6,
To find the median, we sum the two middle numbers together and divide by 2:
(19 + 23) / 2 = 42/2 = 21.
So, the median is 21.
Help on the answer please
Step-by-step explanation:
You need to find 37% of $ 77.04
37% is .37 in decimal form
.37 * $ 77.04 = $28.50
Making the retail price : 77.04 + 28.50 = $ 105.54 Check !
XY || WZ. What is VZ?
Answer:
VZ = 18
Step-by-step explanation:
If XY || WZ, triangles VYX and
VZW are similar due to having 3 angles with same measurements. Similar figures’ corresponding sides can be found via the common ratio between the sides:
VZ/(36+VZ)= 24/72
VZ/(36+VZ) = 1/3
VZ = (36+VZ)/3
VZ = 12 + VZ/3
3VZ/3 - VZ/3 = 12
2VZ/3 = 12
VZ = 12 * 3/2
VZ = 18
If an object, beginning at rest, is moving at a speed of 700 m/s after 2.75 min, what is its acceleration.
The object's acceleration can be calculated using the equation of motion. Given that the object starts from rest and reaches a speed of 700 m/s after 2.75 minutes, the acceleration can be determined as 8.72 m/s².
To find the acceleration, we can use the equation of motion:
v = u + at,
where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. In this case, the object starts from rest, so the initial velocity u is 0 m/s. The final velocity v is given as 700 m/s, and the time t is 2.75 minutes, which needs to be converted to seconds.
Converting 2.75 minutes to seconds: 2.75 minutes × 60 seconds/minute = 165 seconds.
Now we can substitute the values into the equation:
700 = 0 + a × 165.
Simplifying the equation:
a = 700/165 ≈ 4.24 m/s².
Therefore, the object's acceleration is approximately 4.24 m/s².
Learn more about Minutes:
brainly.com/question/15600126
#SPJ11
Ultimately, which approach is only as good as the assumptions regarding the stiffness or shear walls and diaphragms relative to the actual stiffness of a complete building system:
The approach that is only as good as the assumptions regarding the stiffness or shear walls and diaphragms relative to the actual stiffness of a complete building system is the simplified or approximate method.
In structural engineering, when analyzing the behavior and response of a building system to external loads, two commonly used methods are the approximate method and the more rigorous method, such as finite element analysis. The approximate method simplifies the structural analysis by making certain assumptions and approximations to facilitate calculations. However, these assumptions can introduce uncertainties and limitations in accurately predicting the behavior of the building system. One critical assumption in the approximate method is the distribution of stiffness within the building system, particularly in terms of shear walls and diaphragms. The accuracy of the results heavily relies on how well these assumed stiffness values represent the actual stiffness of the complete building system. If the assumptions regarding the stiffness or shear walls and diaphragms significantly deviate from the actual behavior, the results obtained from the approximate method may be less reliable and less representative of the true response of the structure. Therefore, the accuracy of the approach is highly dependent on the assumptions made regarding the stiffness distribution within the building system.
Learn more about structural engineering here:
https://brainly.com/question/30939256
#SPJ11
The use of cost data to develop and identify superior strategies that will produce a sustainable competitive advantage is called a.strategic cost management. b.customer value. c.strategic decision making. dpetitive advantage.
The correct answer is a. strategic cost management.
Strategic cost management is the practice of utilizing cost data and analysis to develop and identify effective strategies that can lead to a sustainable competitive advantage. It involves analyzing the costs associated with various business activities and processes and using this information to make informed decisions regarding resource allocation, pricing, product development, and operational efficiency.
By understanding and managing costs strategically, businesses can identify areas where they can reduce costs, improve productivity, and enhance value creation. This allows them to differentiate themselves from competitors, deliver superior customer value, and ultimately achieve a sustainable competitive advantage in the market. Strategic cost management goes beyond simply minimizing costs; it focuses on optimizing the allocation of resources and aligning cost structures with the overall strategic objectives of the organization. It involves a systematic and holistic approach to cost analysis, incorporating both internal and external factors to make strategic decisions that drive long-term success.
To know more about strategic cost management, click here: brainly.com/question/31006982
#SPJ11
A store has 11.2 kg of potatoes. Maria buys 572 g of potatoes from the store and Colin buys 1.42 kg of potatoes from the store.
After these two purchases, how many grams of potatoes does the store have left?
suppose set a contains 97 elements and set b contains 67 elements. if the total number elements in either set a or set b is 132, how many elements do sets a and b have in common?
Answer:
32 elements------------------
Use the formula for the union of two sets:
|A ∪ B| = |A| + |B| - |A ∩ B|In this case, we have:
|A ∪ B| = 132,|A| = 97, and |B| = 67.Plugging these values into the formula:
132 = 97 + 67 - |A ∩ B|Now, solve for |A ∩ B| (the number of elements in common):
|A ∩ B| = 97 + 67 - 132 |A ∩ B| = 164 - 132 |A ∩ B| = 32So, sets A and B have 32 elements in common.
5. to the nearest tenth of a centimeter, how tall is a rectangular prism with a base area of 64cm and a volume of
1120cm?? (1 pt)
Rounding to the nearest tenth of a centimeter, the height of the rectangular prism is approximately 17.5 cm.
To find the area of a rectangular prism, you need to calculate the combined surface area of all six faces. A rectangular prism has three pairs of congruent faces, where each pair consists of opposite faces.
The formula to calculate the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Where:
l is the length of the rectangular prism
w is the width of the rectangular prism
h is the height of the rectangular prism
To determine the height of the rectangular prism, we can use the formula for the volume of a rectangular prism:
Volume = Length * Width * Height
Given that the base area is 64 cm² and the volume is 1120 cm³, we can find the height by dividing the volume by the base area:
Height = Volume / Base Area
Height = 1120 cm³ / 64 cm²
Height = 17.5 cm
Rounding to the nearest tenth of a centimeter, the height of the rectangular prism is approximately 17.5 cm.
Learn more about the volume at:
https://brainly.com/question/27710307
#SPJ4
The country A Consumer Price Index is approximated by the following formula, where t represents the number of years after 1990. A(t)=100e^0. 021t For instance, since A(16) is about 140, the amount of goods that could be purchased for $100 in 1990 cost about $140 in 2006. Use the function to determine the year during which costs will be 70% higher than in 1990
The costs will be 70% higher than in 1990 in the year 2008.
We have,
Given the formula for A(t):
[tex]A(t) = 100e^{0.021t},[/tex]
we can set up the equation:
[tex]100e^{0.021t} = 170[/tex]
Dividing both sides of the equation by 100:
[tex]e^{0.021t} = 1.7[/tex]
Taking the natural logarithm (ln) of both sides to isolate the exponent:
[tex]ln(e^{0.021t}) = ln(1.7)[/tex]
0.021t = ln(1.7)
Now, we can solve for t by dividing both sides by 0.021:
t = ln(1.7) / 0.021
t ≈ 17.97
Since t represents the number of years after 1990, the year during which costs will be 70% higher than in 1990 is approximate.
= 1990 + 17.97
= 2007.97.
Thus,
Rounding it to the nearest whole year, we can conclude that costs will be 70% higher than in 1990 in the year 2008.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ12
If a mortgage company computes interest on 1,000,000 mortgages per day. They round up the interest charged each day, so that charges are on average $0.005 higher each day than they should be. How much fraudulent money has the company acquired in one year (365 days)
The mortgage company has acquired $1,825,000 in fraudulent money in one year.
To calculate the fraudulent money acquired by the mortgage company in one year, we need to determine the excess amount charged per mortgage each day and then multiply it by the number of mortgages computed per day and the number of days in a year.
Calculate the excess amount charged per mortgage each day:
The company rounds up the interest charged each day, so the excess amount per mortgage is $0.005.
Calculate the total number of excess charges per day:
Since the company computes interest on 1,000,000 mortgages per day, the total number of excess charges per day is 1,000,000 * $0.005.
Calculate the total number of excess charges in one year (365 days):
Multiply the total number of excess charges per day by the number of days in a year (365).
Calculate the fraudulent money acquired in one year:
The fraudulent money acquired in one year is the total number of excess charges in one year.
Let's perform the calculations:
Excess amount charged per mortgage each day: $0.005
Total number of excess charges per day: 1,000,000 * $0.005 = $5,000
Total number of excess charges in one year (365 days): $5,000 * 365 = $1,825,000
Fraudulent money acquired in one year: $1,825,000
To learn more about mortgage here:
https://brainly.com/question/17168051
#SPJ4
For an ANOVA, when the null hypothesis is true, the F-ratio is balanced so that the numerator and the denominator are both measuring the same sources of variance
In an analysis of variance (ANOVA), the F-ratio is used to determine whether there are significant differences between the means of two or more groups.
When the null hypothesis is true, it means that there are no significant differences between the group means, and any observed differences are due to random chance.
In this scenario, the F-ratio is balanced in such a way that the numerator and the denominator both measure the same sources of variance.
The F-ratio is calculated by dividing the variability between the group means (numerator) by the variability within the groups (denominator).
When the null hypothesis is true, both the numerator and the denominator represent the same underlying variation.
This ensures that the F-ratio is balanced and close to 1.0, indicating that the group means are similar and any observed differences are likely due to chance.
The balanced F-ratio is a crucial aspect of ANOVA as it allows researchers to assess the significance of group differences accurately.
If the F-ratio deviates significantly from 1.0, it suggests that the observed differences between the group means are unlikely to be due to random chance alone, and the null hypothesis is rejected in favor of the alternative hypothesis.
To know more about F-ratio, visit:
https://brainly.com/question/31827066
#SPJ11
Frederick Taylor, the founder of scientific management, believed the basis of the conflict between the management and the labor force of a firm was:
Frederick Taylor, the founder of scientific management, believed that the basis of the conflict between management and the labor force of a firm was primarily due to a lack of understanding and communication.
Taylor believed that conflicts arose because both management and workers had different perspectives and goals. Management focused on maximizing efficiency and productivity, while workers were concerned with their own interests, such as wages and working conditions. According to Taylor, the root cause of this conflict was a lack of understanding and communication between the two parties.
He argued that by implementing scientific methods and principles, such as time and motion studies, standardization, and clear job descriptions, this conflict could be minimized. Taylor's approach aimed to create a more efficient and harmonious working environment by aligning the interests of both management and workers.
Learn more about interests here:
https://brainly.com/question/32020793
#SPJ11
a computer store manager buys several computers of the same model for $12,780. the store can regain this investment by selling all but 6 of the computers at a profit of $355 per computer. to do this, how many computers must be sold, and at what price
The manager must sell 30 computers at a selling price of approximately $710 per computer.
To determine how many computers need to be sold and at what price, let's break down the given information:
The store manager buys several computers of the same model for $12,780.
The store can regain this investment by selling all but 6 of the computers.
The profit per computer is $355.
First, let's calculate the total cost of the computers by subtracting the profit from the initial investment:
Total Cost = Initial Investment - Profit
Total Cost = $12,780 - ($355 × 6)
Total Cost = $12,780 - $2,130
Total Cost = $10,650
Now, let's calculate the number of computers that need to be sold to recover the investment:
Number of Computers to be Sold = Total Cost / Profit per Computer
Number of Computers to be Sold = $10,650 / $355
Number of Computers to be Sold ≈ 30
Therefore, the store manager needs to sell 30 computers to recover the investment.
Next, let's determine the selling price for each computer:
Selling Price per Computer = Cost per Computer + Profit per Computer
Selling Price per Computer = $10,650 / (30 - 6) + $355
Selling Price per Computer ≈ $355 + $355
Selling Price per Computer ≈ $710
Hence, to recover the investment, the manager must sell 30 computers at a selling price of approximately $710 per computer.
For such more questions on selling price
https://brainly.com/question/29965344
#SPJ8
Under the Americans with Disabilities Act, accommodation is required in _____. a. the work itself b. the work environment c. benefits and privileges associated with the work
Under the Americans with Disabilities Act (ADA), accommodation is required in all three areas mentioned: the work itself, the work environment, and the benefits and privileges associated with the work.
The ADA is a federal law in the United States that prohibits discrimination against individuals with disabilities in various aspects of employment.
Firstly, accommodation is required in the work itself. This means that employers must make reasonable adjustments to enable individuals with disabilities to perform the essential functions of their job. This can include modifying tasks, providing assistive technology, or adjusting work schedules.
Secondly, accommodation is required in the work environment. Employers must remove barriers that may prevent individuals with disabilities from accessing or navigating the physical workplace. This may involve installing ramps, widening doorways, or providing accessible restrooms.
Lastly, accommodation is required in the benefits and privileges associated with the work. Employers must ensure that individuals with disabilities have equal access to employee benefits, such as health insurance, retirement plans, and training opportunities. Additionally, employers should provide reasonable accommodations to enable employees with disabilities to enjoy the same privileges and opportunities as their colleagues.
In conclusion, the ADA mandates accommodation in the work itself, the work environment, and the benefits and privileges associated with the work, ensuring equal opportunities and accessibility for individuals with disabilities.
To learn more about the Americans with Disabilities Act (ADA) from the given link
https://brainly.com/question/14312255
#SPJ4
(refer to figure 63.) what is the length of the displaced threshold for runway 22 at toledo (tdz)?
The length of the displaced threshold for runway 22 at Toledo (TDZ) is 380 feet. Option C) is correct.
What is displaced threshold?A displaced threshοld is a designated pοrtiοn οf a runway where the starting pοint fοr landing aircraft is mοved further dοwn the runway. It is typically marked by white arrοws οr οther markings οn the pavement. The purpοse οf a displaced threshοld is tο create a clear area fοr οbstacles, such as buildings οr terrain, at the beginning οf the runway, allοwing aircraft tο apprοach the runway at a safer pοint.
This can be necessary due tο the presence οf οbstructiοns οr tο meet certain οperatiοnal requirements. When a displaced threshοld is present, the pοrtiοn οf the runway befοre the threshοld is nοt available fοr landing and takeοff οperatiοns.
Displaced threshold is half of clearance,
Therefore, we calculate the clearance and divide it by 2
(1000 - 620) / 2 = 380
Thus, The length of the displaced threshold for runway 22 at Toledo (TDZ) is 380 feet. Option C) is correct.
Learn more about displaced threshοld
https://brainly.com/question/31834741
#SPJ4
Complete question:
(Refer to Figure 63.) What is the length of the displaced threshold for runway 22 at Toledo (TDZ)?
A) 25 feet.
B) 100 feet.
C) 380 feet.
Rex contracts with Spicy Pizza to deliver its products. After the deal has been partially performed, both parties inform each other that they would like to cancel the contract. Rex and Spicy may rescind Group of answer choices none of their contract. their entire contract. their contract to the extent that it is executory. their contract to the extent that it has been executed.
Rex and Spicy Pizza, after partially performing the contract, may rescind their entire contract or their contract to the extent that it is executory.
Rescission refers to the cancellation or termination of a contract. In this scenario, Rex and Spicy Pizza have both expressed their desire to cancel the contract after partially performing it. The parties have two options for rescinding the contract. First, they can rescind their entire contract, which means they nullify the entire agreement and both parties are released from their obligations. Alternatively, they can rescind the contract to the extent that it is executory, meaning they cancel the remaining unperformed obligations while preserving the rights and duties that have already been fulfilled. The specific choice between these options would depend on the mutual agreement and circumstances of the contract between Rex and Spicy Pizza.
Learn more about contract here:
https://brainly.com/question/32254040
#SPJ11
What is the interest practice of combining campaign contributions from several sources into one larger contribution from the group, so as to increase the groups impact on the candidate
The interest practice described in the question is known as "bundling." Bundling refers to the act of combining individual campaign contributions from multiple sources into a single larger contribution from a group or organization.
Bundling allows interest groups or individuals to pool their resources and present a more substantial contribution to a candidate. By consolidating smaller contributions into a larger sum, bundlers can demonstrate greater financial support and influence.
This practice is often employed by special interest groups, lobbyists, or individuals with shared political objectives who want to maximize their influence on the political process. Bundlers can leverage their collective financial power to gain access to candidates, shape policy agendas, and potentially gain favorable treatment or influence over decision-making.
Learn more about decision-making here:
https://brainly.com/question/28900762
#SPJ11
One day, thirteen babies are born at a hospital. Assuming each baby has an equal chance of being a boy or girl, what is the probability that at most eleven of the thirteen babies are girls?
A. 11/64
B. 29/128
C. 743/1024
D. 4089/4096
The probability that at most eleven of the thirteen babies are girls 4089/4096. Option D
To calculate the probability that at most eleven of the thirteen babies are girls, we need to consider all possible combinations of boys and girls among the thirteen babies.
The total number of possible outcomes is [tex]2^{13}[/tex] because each baby has two possible genders (boy or girl) and there are thirteen babies in total.
To find the probability of at most eleven girls, we can sum the probabilities of having zero, one, two, ..., eleven girls among the thirteen babies.
Using the binomial probability formula, the probability of getting exactly k girls in a group of thirteen babies is given by:
P(k girls) = (13 choose k) *[tex](1/2)^k[/tex] * [tex](1/2)^{(13-k)}[/tex]
To find the probability of at most eleven girls, we sum the probabilities for k = 0 to 11:
P(at most 11 girls) = P(0 girls) + P(1 girl) + P(2 girls) + ... + P(11 girls)
Calculating this sum, we find that the probability of at most eleven girls among the thirteen babies is:
P(at most 11 girls) = 11/2048 + 13/4096 + 13/4096 + 11/2048 + 429/8192 + 429/8192 + 143/4096 + 143/4096 + 33/1024 + 33/1024 + 3/128 + 3/128
Simplifying the expression, we get:
P(at most 11 girls) = 4089/4096
Therefore, the correct answer is option D: 4089/4096.
For more such questions on probability visit:
https://brainly.com/question/251701
#SPJ8
logan decides to estimate the volume of an apple by modeling it as a sphere. he measures its radius as 9.3 cm. find the apples's volume in cubic centimeters. round your answer to the nearest tenth if necessary.
The apple's volume is approximately 3369.3 cm³.
How can we estimate the volume of an object using the model of a sphere and the measurement of its radius?
By modeling the object as a sphere and measuring its radius, we can use the formula for the volume of a sphere,[tex]V =\frac{4}{3} \pi r^3[/tex], to estimate the volume of the object.
The volume of a sphere can be calculated using the formula:
Volume =[tex]\frac{4}{3} \pi r^{3}[/tex]
Given that the radius of the apple is 9.3 cm, we can substitute this value into the formula:
Volume =[tex]\frac{4}{3}\pi (9.3)^3[/tex]
Calculating this expression gives us:
Volume ≈ 3369.28 cm³
Rounding this value to the nearest tenth, the apple's volume is approximately 3369.3 cm³.
Therefore, the apple's volume is approximately 3369.3 cm³.
To learn more about the volume from the given link
brainly.com/question/14197390
#SPJ4
Helen knows how much a box of candy will cost and how much a certain book will cost. How may she find out how much money she will have left after paying for the book and the candy?
Answer: She can subtract the cost of the book and the candy from the amount of money she has.
Step-by-step explanation:
A client is diagnosed with myocardial infarction. Which data collection findings indicate that the client has developed left-sided heart failure
Data collection findings that indicate a client has developed left-sided heart failure include pulmonary congestion, shortness of breath, crackles in the lungs, decreased oxygen saturation, and fatigue.
Left-sided heart failure occurs when the left side of the heart is unable to effectively pump blood to the body's organs and tissues. The following data collection findings are commonly associated with left-sided heart failure:
Pulmonary congestion: The client may present with symptoms of fluid buildup in the lungs, such as coughing, wheezing, or pink, frothy sputum.
Shortness of breath: Known as dyspnea, the client may experience difficulty breathing, especially during physical exertion or when lying down.
Crackles in the lungs: These abnormal lung sounds, often described as "rales," can be heard upon auscultation and indicate fluid in the lungs.
Decreased oxygen saturation: The client's oxygen levels may be lower than normal, as left-sided heart failure compromises the delivery of oxygenated blood to the body.
Fatigue: Due to inadequate blood flow and oxygen supply, the client may feel tired and lack energy.
These data collection findings, along with other clinical assessments and diagnostic tests, help healthcare professionals identify and diagnose left-sided heart failure in a client with myocardial infarction.
Learn more about Pulmonary congestion here:
https://brainly.com/question/29357610
#SPJ11
Jennifer wants to add a bow to her pin corsage. She has chosen the color, but needs to decide on a size for the ribbon. What size should she pick for a
small pin corsage?
the national fire incident reporting service stated that, among residential fires, 73% are in family homes, 20% are in apartments, and 7% are in other types of dwellings. a) if four residential fires are independently reported on a single day, what is the probability that two are in family homes, one is in an apartment, and one is in another type of dwelling? b) if six residential fires are independently reported on a single day, what is the probability that three or more were reported from apartments? c) the typical cost of responding to a fire emergency for the local fire department depends on the type of dwelling. for family homes, the cost ascends to 800 usd, whereas for apartments and other types of dwellings the costs are 500 usd and 1,000 usd. the monthly budget for the fire department emergency response team is 20,000 usd. what is, in expectance, the maximum number of fires to which the fire department will be able to provide assistance without running out of budget?
A. The probability that two of the four fires are in family homes, one is in an apartment, and one is in another type of dwelling is: 0.0083
B) The probability that three or more of the six fires were reported from apartments is: 0.6723
C The probability that no more than two fires were reported from apartments is: 0.0032
How to calculate the probabilityA) The probability that two of the four fires are in family homes, one is in an apartment, and one is in another type of dwelling is:
(0.73)² (0.20) (0.07)
= 0.0083
B) The probability that three or more of the six fires were reported from apartments is:
1 - (0.8) × 0.8 × 0.8⁴
= 0.6723
C. The probability that no more than two fires were reported from apartments is:
(0.8)² (0.2)⁴
= 0.0032
Learn more about probability on
https://brainly.com/question/13604758
#SPJ1
Please see attached image.
Answer:
Step-by-step explanation:
its easu
Troy and Myrna are married and file a joint income tax return. Their adjusted gross income is $200,000 per year. On last year's tax return, the couple claimed a $650 credit for child care expenses. Troy and Myrna are in the 24% marginal income tax bracket. What amount of deductions for AGI would be required to equal the tax benefit of the $650 child care credit
To determine the amount of deductions for Adjusted Gross Income (AGI) required to equal the tax benefit of a $650 child care credit, the couple's marginal tax rate of 24% needs to be considered.
A tax credit directly reduces the tax liability, while deductions for AGI reduce the taxable income. In this case, the tax benefit of the $650 child care credit is equivalent to the tax savings it provides. Since the couple is in the 24% marginal income tax bracket, the deductions for AGI need to be calculated to generate the same tax savings.
To determine the required deductions for AGI, we divide the child care credit by the marginal tax rate. In this case, $650 divided by 0.24 (24%) equals $2,708.33. Therefore, Troy and Myrna would need deductions for AGI amounting to $2,708.33 to equal the tax benefit of the $650 child care credit. It's important to note that this calculation assumes a simple scenario and doesn't take into account other variables, such as phase-outs or other tax considerations that may affect the actual amount of deductions required.
Learn more about amount here:
https://brainly.com/question/15701834
#SPJ11
Each side of the base measures 4.5 cm and the height of the pyramid is 10 cm. If the density of maple is
0.676c / c * m ^ 3 what is the mass of the block, to the nearest tenth of a gram?
A. 45.6
B. 67.5
C. 136.9
D. 202.5
The mass of the block is 45.63 cc.
Here, we have,
Given the following data;
Side length of the base = 4.5 cm
Height = 10 cm
To find the volume of pyramid with a square base;
Mathematically, the volume of a pyramid with a square base is given by the formula;
Volume of square-based pyramid = A(h/3)
Where;
A is the area of the square base.
h is the height of the pyramid.
First of all, we would find the area of the square base;
Area of square, A = L²
A = 4.5²
A = 20.25 ft²
Next, we find the volume of the square-based pyramid;
Volume = 20.25(10/3)
Volume = 202.5 /3
Volume = 67.5 cm³
Then the mass of the block is 67.5 cm³ * 0.676 cc/cm³ = 45.63 cc
Hence, the mass of the block is 45.63 cc.
To learn more on volume click :
brainly.com/question/1578538
#SPJ1
HELP PLS. Choose the period with the highest grade, and provide and explanation based on the shape on the histograms.
Answer:
Step-by-step explanation:
4th
-) Write the prime factorization of 968.
A) 2-2 11 11 11
B) 2.2.2.2.11
C) 2.2.2.11-11
D) 8-121
Answer:
2,2,2,11,11
Step-by-step explanation:
968/2
484/2
242/2
121/11
11/11
the table shows the favourite colour of 100 people.
complete the table and draw a pie chart to represent this information
The table and a pie chart to represent this information is shown below.
How to determine the angles based on the table?For the total number of people based on their favourite colour, we have the following:
Total number of people = 30 + 10 + 50 + 10
Total number of people = 100.
Next, we would determine the angles based on their favourite colour as follows;
Red
30/100 × 360 = 108°
Blue
10/100 × 360 = 36°
Green
50/100 × 360 = 180°
Yellow
10/100 × 360 = 36°
Therefore, the table should be completed as follows;
Colour Frequency Angle in degrees.
Red 30 108°
Blue 30 36°
Green 30 180°
Yellow 30 36°
Read more on pie chart here: brainly.com/question/23608372
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.