The matrix that shows the prices in U.S. dollars is:
[1.81 6.32 0.56 0.36]
How to get the matrix in U.S. dollars?Here we have a simple row matrix which can be written as:
[80 280 25 16]
You can see this as a row vector or something like that, notice that if we multiply this by an scalar, we just need to multiply each element by an scalar.
Now, we know that:
1 dollar = 44.32 Nu
then:
1 Nu = (1/44.32) dollars.
So to get the matrix in dollars, just multiply each number by (1/44.32), then we will get:
(1/44.32)*[80 280 25 16] = [80/44.32 280/44.32 25/44.32 16/44.32]
= [1.81 6.32 0.56 0.36]
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In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Khloe sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
95 visitors purchased no costume.
288 visitors purchased exactly one costume.
13 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth.
In linear equation, 0.76 will purchase one or more costumes as a decimal to the nearest hundredth.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
from the given information
the probability that the next person will purchase one or more costumes
= 288 + 13/288 + 13 + 95
≈ 0.76
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if the dental director wanted to analyze the data collected from the cpi, which type of descriptive statistics should be used to measure central tendencies?
To measure central tendencies in the data collected from the Consumer Price Index (CPI), the dental director should use measures of central tendency, such as the mean, median, and mode.
The mean is the average of a set of numbers and is calculated by adding all the numbers together and then dividing by the total number of numbers. The median is the middle number when the numbers are placed in order from least to greatest. The mode is the number that appears most often in a set of numbers.
Using these measures of central tendency will allow the dental director to gain a better understanding of the CPI data, as they will be able to identify the center point of the data and also see how frequently particular values appear. This can help in making informed decisions about policies and other changes.
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An empty shipping box has a mass of 2. 75 kilograms. An electronics store is packing 5 identical laptops in the shipping box. Each laptop has a mass of 1. 65 kg. The cost to ship the box was $40. 00 for the first 5 kg and $3. 15 for each kilogram over 5 kg. What was the cost to ship the packed box?
The cost to ship a box containing 5 laptops, weighing a total of 11 kg (including the empty box), is $58.90, with a cost of $40.00 for the first 5 kg and $3.15 for each additional kilogram.
The total mass of the packed shipping box can be found by adding the mass of the laptops (5 * 1.65 kg = 8.25 kg) to the mass of the empty box (2.75 kg) for a total mass of 11 kg.
Since the cost to ship the box is $40.00 for the first 5 kg and $3.15 for each additional kilogram over 5 kg, we can split the total mass into two parts: the first 5 kg and the additional weight above 5 kg.
The cost to ship the first 5 kg is $40.00, and the remaining weight is 11 kg - 5 kg = 6 kg.
The cost to ship the additional 6 kg is $3.15 per kilogram, so the total cost to ship the packed box is:
$40.00 + $3.15 * 6 kg = $58.90
Therefore, the cost to ship the packed box is $58.90.
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which of the following conditions must be met to conduct a two-proportion significance test? the populations are independent. the probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population. the sample sizes are greater than 30.
The following conditions must be met to conduct a two-proportion significance test:
the populations are independent, the probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population, and the sample sizes are greater than 30.
The two-proportion significance test is a hypothesis test that compares the proportions of two independent populations.
To conduct the two-proportion significance test, the following conditions must be met:
Populations must be independent.
Sample sizes are greater than 30.
The probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population.
The sample size should be large enough so that the sampling distribution of the sample proportion is nearly normal. The sample sizes should be large enough so that the central limit theorem can be applied.
In short, to conduct a two-proportion significance test, the populations must be independent, the probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population, and the sample sizes are greater than 30.
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The associative property works with expressions that use
A
division and subtraction. B
addition and subtraction. C
multiplication and division. D
multiplication and addition
The associative property works with expressions that use multiplication and addition. The correct option is (D).
The associative property is a rule in mathematics that allows us to change the grouping of the numbers or variables in an expression without changing the result. This property only applies to addition and multiplication, and not to subtraction and division.
The associative property of addition tells us that we can add a group of numbers in any order, and the result will be the same. For example, (2 + 3) + 4 is the same as 2 + (3 + 4). The associative property of multiplication tells us that we can multiply a group of numbers in any order, and the result will be the same. For example, (2 × 3) × 4 is the same as 2 × (3 × 4).
However, the associative property does not work with subtraction and division. For example, (10 - 3) - 2 is not the same as 10 - (3 - 2). Similarly, (12 ÷ 2) ÷ 3 is not the same as 12 ÷ (2 ÷ 3). Therefore, the correct answer to the question is D - the associative property works with expressions that use multiplication and addition.
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two cyclists start from the same point and ride in opposite directions. one cyclist rides twice as fast as the other. in 2 hr, they are 72 mi apart. find the rate of each cyclist.
From the same starting point, two cyclists ride in different directions. The speed of one cyclist is twice that of the other. They will be 72 miles apart in 2 hours. The rate of each cyclist is 12 miles per hour and 24 miles per hour
Let’s call the rate of the slower cyclist “r”. Then, according to the problem, the rate of the faster cyclist is “2r”.
We can use the formula distance = rate x time to set up two equations, one for the distance traveled by the slower cyclist and one for the distance traveled by the faster cyclist. The sum of these distances is the total distance they are apart after 2 hours, which we know is 72 miles:
2r x 2+r x 2=72
Simplifying this equation, we get:
4r+2r=72
Combining like terms, we get:
6r=72
Dividing both sides by 6, we get:
R=12
So the rate of the slower cyclist is 12 miles per hour. Using the fact that the faster cyclist rides at twice the rate of the slower cyclist, we can find the rate of the faster cyclist:
2r=2 x 12=24
So the rate of the faster cyclist is 24 miles per hour.
Therefore, the two cyclists ride at rates of 12 miles per hour and 24 miles per hour, respectively.
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i hate math fr but pls help asap
Answer:
379.94
Step-by-step explanation:
Area of a circle given radius is really easy! The equation for area of a cicle is pi x r^2. So just plug in. Assuming pi is 3.14 your equation would be
3.14x11^2. 11 squared is 121. Then multiply by 3.14 and thats your answer.
Exercise 3-23A (Algo) Using ratio analysis to assess financial risk LO 3-5
The following information was drawn from the balance sheets of two companies. Company Assets = Liabilities + Equity
East 206,000 91,000 115,000
West 603,000 169,000 434,000
Required
a. Compute the debt-to-assets ratio to measure the level of financial risk of both companies. B. Compare the two ratios computed in requirement a to identify which company has the higher level of financial risk
The answer based on debt to assets ratio for east and west company are,
East company debt to assets ratio is equal to 0.44.
West company debt to assets ratio is equal to 0.28.
After comparing both the company debt to assets ratio East company is at higher level of financial risk.
Assets = Liabilities + Equity
For East company,
206,000 = 91,000 + 115,000
Assets = 206,000
liabilities = 91,000
Equity = 115,000
For West company,
603,000 = 169,000 + 434,000
Assets = 603,000
liabilities = 169,000
Equity = 434,000
Debt-to-assets ratio = Total liabilities divided by the total assets.
Debt-to-assets ratio for East
= 91,000 / 206,000
= 0.44
Debt-to-assets ratio for West
= 169,000 / 603,000
= 0.28
Comparing the two ratios,
0.44 > 0.28
This implies,
Company East has a higher debt-to-assets ratio is greater than the compared to Company West.
This represents that Company East has a higher level of financial risk.
As larger proportion of their assets are financed through debt.
This shows it is difficult to repay if the company experiences financial difficulties.
Company West has a lower level of financial risk as smaller proportion of their assets are financed through debt.
Therefore, the answer of the following questions are,
Debt to asset ratio of east company = 0.44
Debt to asset ratio of west company = 0.28
Company east has a higher financial risk level .
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what extraneous solution arises when solving for the point of intersection of the line f(x)=-1/2x+6 and the square root function f(x)= √x-4
The extraneous solution which arises when solving for the point of intersection of the line and the square root function is 20.
What is an extraneous solution?
An extraneous solution in mathematics is a solution that develops during the process of addressing the problem but is not a legitimate solution to the problem, such as the answer to an equation.
We are given two equations as f(x) = [tex]\frac{-1}{2}[/tex]x + 6 and f(x) = √x - 4.
Now, on equating both the equations, we get
⇒ [tex]\frac{-1}{2}[/tex]x + 6 = √x - 4
On squaring both sides, we get,
⇒ [tex](\frac{-1}{2}x + 6)^{2}[/tex]= x - 4
⇒ [tex]\frac{1}{4}x^{2}[/tex] + 36 - 6x = x - 4
⇒ [tex]\frac{1}{4}x^{2}[/tex] + 40 = 7x
⇒ [tex]\frac{1}{4}x^{2}[/tex] -7x + 40 = 0
⇒ [tex]x^{2}[/tex] -28x + 160 = 0
⇒ x = 20 , 8
For point of intersection, we will substitute x = 20 in both the equations.
So, we get
⇒ f(x) = [tex]\frac{-1}{2}[/tex] (20) + 6
⇒ f(x) = -10 + 6
⇒ f(x) = -4
Similarly,
⇒ f(x) = √20 - 4
⇒ f(x) = √16
⇒ f(x) = 4
Since both the solutions are not same so this is an extraneous solution.
Hence, the extraneous solution which arises is 10.
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Complete the table and graph the corresponding ordered pairs. Draw the line defined by the points to
represent all solutions to the equation: 4x + 2y = 8
Plot the x-intercept of (-0.5,0) Plot the y-intercept of (0,-2) Draw a line passing through both intercepts.
To graph 4x + 2y = 8, we'll first look at the x-intercept and y-intercept.
The x-intercept occurs when y is zero, and the y-intercept occurs when x is zero.
0 = 4x + 2y => x = -0.5y = 4x + 2(0) => y = -2
From the two equations, we get the ordered pairs(-2,0), and (-0.5,0) as our intercepts.
The line defined by these two points and that represent all solutions to the equation is:
y = -2x + 4
The table would show different values of x for different values of y, but since there are no specific values to solve, you
just have to use the slope-intercept formula to determine the points on the graph.
Here's how to plot the ordered pairs on a graph:
Plot the x-intercept of (-0.5,0)
Plot the y-intercept of (0,-2)
Draw a line passing through both intercepts.
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a dance delegation of 4 people must be chosen from 5 pairs of dance partners. if 2 dance partners can never be together on the delegation, how many different ways are there to form the delegation?
There are 120 different ways to form the dance delegation from five pairs of dance partners if two dance partners can never be together on the delegation.
The total number of ways to form the delegation from five pairs of dance partners can be calculated using the combination formula. The combination formula is used to calculate the number of different combinations of n objects taken r at a time without repetition.
In this question, n is the total number of dance partners (5) and r is the number of people on the delegation (4).
Therefore, the calculation is as follows:
total number of ways = nCr
= 5C4
= 5! / 4!(5-4)!
= 5! / 4!1!
= 5 x 4 x 3 x 2 x 1 / 4 x 1 x 1
= 5 x 4 x 3 x 2
= 120
Hence, there are 120 different ways to form the dance delegation from five pairs of dance partners if two dance partners can never be together on the delegation.
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Suppose the demand d, in units sold, for a company's jeans at price x, in dollars, is d(x) = 400 - 4x.
a. If revenue = price x demand, write the rule for the
function r(x), which represents the company's
expected revenue in jean sales. Then state the
domain of this function.
b. If the price is $40, how much revenue will the
company earn?
Revenue
Price
a. The revenue function, r(x), is given by the product of the price x and the demand function d(x):
[tex] \sf r(x) = x \times d(x) = x \times (400 - 4x) = 400x - 4x^2[/tex]
The domain of this function is the set of possible prices that can be charged for the jeans, which is typically a positive real number, or in interval notation: (0, infinity).
b. If the price is $40, we can find the revenue by plugging in x = 40 into the revenue function:
[tex] \sf r(40) = 400(40) - 4(40)^2 = 16,000 - 6,400 = 9,600[/tex]
Therefore, the company will earn $9,600 in revenue if they sell their jeans at a price of 40
How to factor this so that it's in parenthesis? (Please use a detailed explanation thanks)
8n^2 -14n -15
Answer:
(4n+3)(2n-5)
Step-by-step explanation:
1) Split the second term [tex]8n^2-14n-15[/tex] into two terms.
1- Multiply the coefficient of the first term by the constant term.
[tex]8\times-15=-120[/tex]
2- Ask: Which two numbers add up to -14 and multiply to -120?
6 and -20
3- Split -14n as the sum of 6n and -20n.
[tex]8n^2+6n-20n-15[/tex]
2) Factor out common terms in the first two terms, then in the last two terms.
[tex]2n(4n+3)-5(4n+3)[/tex]
3) Factor out the common term [tex]4n+3[/tex].
[tex](4n+3)(2n-5)[/tex]
What most likely happened in the game below when analyzing the win probability chart?
Group of answer choices
TB started as the favorite, then fell behind most of the game, and then had a last minute comeback
TB led the entire game and ended up winning
NO started as the favorite and then had a comeback at the end of the game
This shows that TB did not have a game-long advantage but rather needed to recover from a deficit to triumph.
what is probability ?A subfield of mathematics known as probability studies random events and the possibility that they will occur. It entails calculating the probability of an event happening and expressing it as a number between 0 and 1, with 0 denoting an impossibility and 1 denoting a certainty. The possibility of a coin landing heads-up, the chances of winning a game, or the likelihood of a disease spreading throughout a population are just a few examples of real-world occurrences that may be studied and understood using probability.
given
It is most likely that option 1 happened, according to the victory probability chart in the illustration provided: TB came out as the favourite, trailed for the majority of the game, then made a late comeback.
The graph demonstrates that the victory probability for TB initially increased before sharply declining as NO seized the lead and kept it for the most of the game.
The dramatic increase in the win probability for TB towards the end of the chart, however, shows that TB came back and won in the final few minutes of the game.
This shows that TB did not have a game-long advantage but rather needed to recover from a deficit to triumph.
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Ellie and Terrell are also putting new
carpeting in their family room,
which is a rectangle having length =
x + 3 and width = x + 1. What is
the area of the family room?
Answer:
x² +4x + 3
Step-by-step explanation:
Area = length x width
Area = (x + 3)( x + 1)
Area = x² + X + 3x +3
Area = x² + 4x +3
Find the sum of the first 48 terms of the following series, to the nearest integer.
5,9,13,. ???
The sum of the first 48 terms of the following series, to the nearest integer is 4632.
An computation progression( AP) is a sequence of figures where the differences between every two successive terms are the same. In this progression, each term, except the first term, is attained by adding a fixed number to its former term. This fixed number is known as the common difference and is denoted by'd'. The first term of an computation progression is generally denoted by' a' or' a1'.
We have series as,
5,9,13,....48
so we have
First term = a = 5
Last term T = 48
Interval between them as d = 9 - 5 = 4
To find the sum of the first 48 terms we have formula as,
[tex]S = \frac{n}{2} [a+(n-1)d]\\[/tex]
putting the value of the values in the equation,
[tex]S = \frac{48}{2} [5+(48-1)4]\\\\S = 24[5+188]\\\\S = 4632\\[/tex]
Therefore, the sum of the first 48 terms is 4632.
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what does 4x^{3} ÷ 8 equal
Answer:
4x^{3} ÷ 8 = x^{3}/2
Put the items below into order of length, from shortest to longest. Car Mobile phone Football pitch Tennis racket Paper clip S
Answer:
Paper clip, Mobile phone, S, Tennis racket, Car, Football pitch.
Find the area of a 2.5-by-2.5 square by splitting it into unit squares.
The area of 2.5 by 2.5 square is given as follows:
6.25 square units.
How to obtain the area of a square?The area of a square of side length s is given by the square of the side length, as follows:
A = s².
For this problem, we have 2.5 by 2.5 square, hence the side lengths are given as follows:
s = 2.5.
Then the area of 2.5 by 2.5 square is obtained applying the formula as follows:
A = 2.5²
A = 6.25 square units.
This means that the entire 2.5-by-2.5 square can be divided into 6.25 unit squares, in which each of them would have a side length of one unit.
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a particular triangle has sides of length 14 cm, 8 cm and 9 cm. in centimeters, what is the perimeter of the triangle?
Answer:
31cm
Step-by-step explanation:
14 + 8 + 9 = 31
Make sure to add the cm on the end!
The perimeter of the triangle is 31cm.
The perimeter of the triangle with sides of length 14 cm, 8 cm and 9 cm is 31 cm. This can be calculated by simply adding up the length of each side. To explain, the perimeter of a triangle is the sum of the lengths of all three sides.
In this particular triangle, the length of side 1 is 14 cm, the length of side 2 is 8 cm and the length of side 3 is 9 cm. When we add these three lengths, we get the perimeter of the triangle: 14 cm + 8 cm + 9 cm = 31 cm.
In general, to calculate the perimeter of any triangle, we first have to identify the lengths of all three sides. Then, we simply add these lengths together to get the perimeter.
For example, if the triangle had sides of lengths 4 cm, 5 cm and 6 cm, then the perimeter would be 4 cm + 5 cm + 6 cm = 15 cm.
In conclusion, the perimeter of any triangle can be calculated by adding together the length of each side. In the case of the particular triangle in question, the perimeter is 31 cm.
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the high school dropout rate in the united states is greater than 25 percent. c. wright mills would classify this situation as
The high school dropout rate in the United States is greater than 25 percent. C. Wright Mills would classify this situation as a societal issue.
This is because societal issues are matters of public concern that affect large numbers of people and require collective action to resolve. The high school dropout rate in the United States is an example of a societal issue because it has widespread implications for both individuals and society as a whole.
According to Mills, a societal issue is one that cannot be attributed solely to the actions of individuals. Instead, it is the result of social structures and processes that operate at a broader level.
For example, the high school dropout rate in the United States is influenced by a variety of factors such as poverty, race, and family background. These factors are not solely determined by the actions of individual students but are instead shaped by broader social forces such as economic inequality and institutional racism.
To address the high school dropout rate, therefore, requires collective action at the societal level. This may involve policy changes, community-based initiatives, or other forms of collective action aimed at addressing the underlying social factors that contribute to the problem.
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My bed is 3 inches by 2 2/3 by 1/3 what is the volume of my bed.
Answer:
2 [tex]\frac{2}{3}[/tex] [tex]in^{2}[/tex]
Step-by-step explanation:
A system of linear equations and a reduced matrix for the system are given. 1 0 Nm 1 x - y + z = 3 3x + 2z = 7 (x - 4y + 2z = 5 0 1 0 1 Use the reduced matrix to find the general solution of the system, if one exists. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answers in terms of z as in Example 3.) (x, y, z) = ( (x, y, z) = *) (b) If multiple solutions exist, find two specific solutions. (Enter your answers as a comma-separated list of ordered triples. If there is no solution, enter NO SOLUTION.) (x, y, z) =
a) General solution of the system is (x, y, z) = (2, 0, 1).
b) There are no multiple solutions, and we cannot find two specific solutions.
How to evaluate each part of the question?The given system of linear equations is:
1) x - y + z = 3
2) 3x + 2z = 7
3) x - 4y + 2z = 5
The reduced matrix for this system is:
1 0 1
0 1 0
0 0 1
Using the reduced matrix, we can rewrite the system of linear equations as:
1) x + z = 3
2) y = 0
3) z = 1
Now we can solve the system step by step:
From equation (3), we know that z = 1.
Next, we can use the value of z in equation (1) to find x:
x + 1 = 3
x = 3 - 1
x = 2
Finally, from equation (2), we know that y = 0.
So, the general solution of the system is (x, y, z) = (2, 0, 1).
(b) Since there is only one solution to this system, there are no multiple solutions, and we cannot find two specific solutions.
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how many driving lessons do you need to do with a professioanl instructor before my parents could teach me
The number of driving lessons you need to take with a professional instructor before your parents can teach you varies depending on the regulations in your area. In some regions, a specific number of driving lessons is required by law before you can apply for your driver's license. As a result, you should check with your local Department of Motor Vehicles (DMV) or other regulatory agency to learn more about the specific requirements in your area.
In general, however, it is usually beneficial to take as many driving lessons as possible with a professional instructor. Professional driving instructors have been educated in how to teach driving skills safely and effectively. They have also assisted many other people in learning how to drive, and as a result, they have a wealth of knowledge and expertise to draw on.
The more driving lessons you take with a professional instructor, the more chances you'll have to learn and improve your driving abilities. You may be able to practice with your parents after only a few lessons, but it's generally a good idea to take as many as possible with an instructor before doing so. This will give you the best chance of success while you learn to drive safely and confidently.
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A square pyramid has a base with a side length of 4cm and triangular faces with a height of 7cm. Esther calculated the surface area as (4x4)+4(4x7) equals 128cm. Explain Esther's error and find the correct surface area
Esther missed including the surface area of the square sides of the pyramid. The correct surface area is found by adding the surface area of the four triangular faces, base, and sides. The total surface area is 104cm².
Esther's error was that she only considered the surface area of the triangular faces and the base of the pyramid. She failed to include the surface area of the pyramid's square sides.
To find the correct surface area of the pyramid, we need to add the surface area of the four triangular faces and the surface area of the square base and sides. The surface area of the square base is 4² = 16cm², and the surface area of each triangular face is (1/2)bh = (1/2)(4)(7) = 14cm². The surface area of each square side is 4 x 4 = 16cm².
Therefore, the correct surface area of the square pyramid is:
4 x 14cm² (for the four triangular faces) + 16cm² (for the base) + 4 x 16cm² (for the four square sides) = 104cm².
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Determine the surface area of a square pyramid that has a perimeter of 32 cm
and a slant height of 15 cm
Given that the perimeter of the square base is 32 cm, The surface area of the square pyramid is 304 cm².
The surface area of a square pyramid can be calculated using the formula: SA = B + (1/2)Pl, where B is the area of the base, P is the perimeter of the base, l is the slant height, and SA is the total surface area.
Given that the perimeter of the square base is 32 cm, we can divide it by 4 to find the length of each side: 32 cm / 4 = 8 cm.
Now, we can calculate the area of the base by squaring the length of a side: B = (8 cm)² = 64 cm²
Using the given slant height of 15 cm, we can plug in the values into the formula for SA: SA = 64 cm² + (1/2)(32 cm)(15 cm) = 64 cm² + 240 cm² = 304 cm².
Therefore, the surface area of the square pyramid is 304 cm².
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GIVING BRAINLIEST FOR RIGHT ANSWER (provide proof please i need to know how you got the answer)
Answer:
x>7
Step-by-step explanation:
The circle is open so seven is not included which eliminates the second and fourth choice.
x<7 means x is less than seven which is wrong.
x> means x is greater than seven.
Answer:
x > 7
Step-by-step explanation:
We see that the arrow is going to the right, signaling greater than.
We know that it is not greater than or equal to, since the dot is not shaded.
So, the answer is x > 7.
Place the steps of eukaryotic DNA replication in order, from when a germ cell enters gap 1 (G_1) phase to the cell cycle termination.
Answer:
The correct order of the steps of eukaryotic DNA replication from when a germ cell enters gap 1 (G1) phase to the cell cycle termination is : G1-> S Phase ->G2 ->Mitosis ->Cytokinesis ->Cell cycle termination
Step-by-step explanation:
The correct order of the steps of eukaryotic DNA replication from when a germ cell enters gap 1 (G1) phase to the cell cycle termination is as follows:
Step 1: G1 phase - During this phase, the germ cell is growing and preparing for DNA synthesis.
Step 2: S phase - DNA replication occurs during this phase. The chromosomes duplicate to form two identical chromatids, which remain attached at the centromere.
Step 3: G2 phase - During this phase, the cell checks for any errors in DNA replication and prepares for cell division.
Step 4: Mitosis - The cell divides its replicated DNA and organelles into two identical daughter cells. This process ensures that each daughter cell has the same amount of genetic material as the parent cell.
Step 5: Cytokinesis - The cytoplasm divides, creating two identical daughter cells.
Step 6: Cell cycle termination: After successful completion of mitosis and cytokinesis, the cell cycle is terminated, and the daughter cells may enter a new cycle or enter a non-dividing state (G0 phase).
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the purchasing agent at a local hardware store noticed a sale on hammers. the original price of the hammers was $12 each. with the discount, he could get each hammer for $9.50. what percentage was the discount (rounded to nearest whole percentage)?
The percentage discount on the hammers is about 21%.
The discount is the difference between the original price and the discounted price.
Discount = $12 - $9.50
subtract the numbers
= $2.50
To find the percentage discount, we divide the discount by the original price and multiply by 100
Percentage discount = ( Discount / Original price ) x 100
Substitute the values in the equation and find the percentage discount
Percentage discount = ( $2.50 / $12 ) x 100
Do the arithmetic operation
Percentage discount = 20.83%
Rounding to the nearest whole percentage, the discount is approximately equal to 21%.
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