Eloise is creating a game for her Strategic Games option.
Her square game board will have 64 squares on the inside and a decorative border around the outside edge.
What is the length of the border?
What assumptions can you make?
Answers
64 square would suggest that sides of square are 8 “units”.
A=a^2
64=8•8
If decorative border is all around square (1 “unit”) that would make a length of a border: 8•2+10•2=16+20+36.
Good luck.
Related Questions
You are creating a 4-digit pin code. How many choices are there in the following cases? (a) With no restriction. (b) No digit is repeated. (c) No digit is repeated, digit number 3 is a digit 0. Note: Justify your answers
Answers
(a) The number of choices with no restriction is 10,000.
(b) The number of choices with no repeated digits is 5,040.
(c) The number of choices with no repeated digits and the third digit as 0 is 648.
(a) With no restriction, there are 10 choices for each digit, ranging from 0 to 9. Since a 4-digit pin code consists of four digits, the total number of choices is 10^4 = 10,000.
(b) When no digit is repeated, the number of choices for the first digit is 10. For the second digit, there are 9 choices remaining (as one digit has been used). Similarly, for the third digit, there are 8 choices remaining, and for the fourth digit, there are 7 choices remaining. Therefore, the total number of choices is 10 × 9 × 8 × 7 = 5,040.
(c) When no digit is repeated and the third digit is fixed as 0, the number of choices for the first digit is 9 (excluding 0). For the second digit, there are 9 choices remaining (as one digit has been used, but 0 is available).
For the fourth digit, there are 8 choices remaining (excluding 0 and the digit used in the second position). Therefore, the total number of choices is 9 × 9 × 8 = 648.
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The cost of a new CD is $14.95, and the cost of a video game is $39.99. How much would c CDs and v video games cost?
Answers
Answer
P=14.95c+39.99v
Answer = $124.83
Step-by-step exp
P = 14.95 ( 3 ) + 39.99 ( 2 )
P = 44.85 + 79.98
P = 124.83
So the the total cost of 3 CD's and 2 video games is $ 124.83
The expression the represents c CDs and v video games cost is 14.95c+39.99v.
Given that, the cost of a new CD is $14.95, and the cost of a video game is $39.99.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Cost of c CDs and v video games is
14.95c+39.99v
Therefore, the expression the represents c CDs and v video games cost is 14.95c+39.99v.
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Which is greater, 9 meters or 900 centimeters? Explainyour answer.
Answers
A meter is equal to 100 centimeters; therefore, 9 meters are equal to 9*100=900cm.
9 meters is the same length as 900 centimeters.
Pls Pls help asap! no f links pls n will give brainliest n points?
How could you show
Answers
By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.
From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Consider ΔKML and ΔRTL, we get
RL/KL =15/(15+9)
= 15/24
= 5/8
TL/ML =12.5/(12.5+7.5)
= 12.5/20
= 5/8
Here, RL/KL=TL/ML
Here, ∠KLM≅∠RLT
By SAS similarity, ΔKML and ΔRTL are similar triangles
So, ∠KMT≅∠RTL
By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.
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Answer:
a
Step-by-step explanation:
got it right in edmentum
Which line is parallel to a line that has a slope of -5
and a y-intercept at (0-2)?
Line AC (Blue)
Line GH (Pink)
Line DF (Red)
Line IJ (Green)
Answers
Answer:
Line IJ
Step-by-step explanation:
study the position-time of a car
how long did it take the car to reach a displacement of 40 km?
1. 3 hours
2. 4 hours
3. 2 hours
4. 1 hours
Answers
Option 3 will be the correct response based on the information provided. 2 hours.
What does two hours mean?There are 60 minutes in an hour. Hence, two hours are equal to two 60-minute increments, or 120 minutes. The truth is, however, that when we say "a couple of hours," we do not often mean exactly two hours; instead, we can mean anything from 1.5 hours to 2.5 hours.
3.25 hours what?3 hours, 15 minutes, and 0 seconds is 3,25 hours. 3.25 hours are also equal to 11700 seconds or 195 minutes and 0 seconds.
The graph indicates that the car goes 20 km in 1 hours.
In 2 hours, the car travels the distance of 40 km.
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Solve the following expression when
f = 3
7 + 4 + f² - 5f + 2
I
Answers
Answer: 7
Step-by-step explanation:
7+4+(3)^2-5(3)+2=
11+9-15+2=
20-15+2=7
\(\huge\text{Hey there!}\)
\(\mathsf{7 + 4 + f^2 - 5f + 2}\)
\(\mathsf{= 7 + 4 + 3^2 - 5(3) + 2}\)
\(\mathsf{= 7 + 4 + 9 - 15 + 2}\)
\(\mathsf{= 11 + 9 - 15 + 2}\)
\(\mathsf{= 20 - 15 + 2}\)
\(\mathsf{= 5 + 2}\)
\(\mathsf{= 7}\)
\(\huge\textbf{Therefore, your answer should be: }\)
\(\huge\boxed{\mathsf{7}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru typically has more wait time, and why?
Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean
Question 2
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.
Which of the following is the appropriate measure of center for the data, and what is its value?
The mean is the best measure of center, and it equals 19.
The median is the best measure of center, and it equals 4.
The median is the best measure of center, and it equals 19.
The mean is the best measure of center, and it equals 4.
Question 3
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20
A graph titled Donations to Charity in Dollars. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 1 above 11 to 15, and up to 7 above 16 to 20.
Which measure of variability should the charity use to accurately represent the data? Explain your answer.
The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 13 is the most accurate to use, since the data is skewed.
The range of 20 is the most accurate to use to show that they have plenty of money.
The IQR of 20 is the most accurate to use to show that they need more money.
Question 4
The circle graph describes the distribution of preferred transportation methods from a sample of 400 randomly selected San Francisco residents.
circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can we draw from the circle graph?
Together, Streetcar and Cable Car are the preferred transportation for 168 residents.
Together, Walk and Streetcar are the preferred transportation for 55 residents.
Bus is the preferred transportation for 45 residents.
Bicycle is the preferred transportation for 50 residents.
Question 5
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of variability for the data, and what is its value?
The range is the best measure of variability, and it equals 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.
The IQR is the best measure of variability, and it equals 2.5.
Question 7
At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Mustard Chili
63 27 60
Based on the data in this sample, how many of the people in attendance would prefer mustard on a hot dog?
900
2,000
2,100
4,000
Question 8
The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.
Which graphical representation would be most appropriate for the data, and why?
Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical
Answers
Burger Quick, because it has a larger median.
How to explain the informationBurger Quick typically has more wait time because it has a larger range (30-2=28) compared to Super Fast Food (27-3=24) and also has a larger interquartile range (IQR) (24-9.5=14.5) compared to Super Fast Food (15.5-8.5=7), indicating more variability in the wait times. The fact that Burger Quick's median (15.5) is larger than Super Fast Food's median (12) reinforces this conclusion.
Therefore, the correct answer is: Burger Quick, because it has a larger median.
Answer 2: The appropriate measure of center for this data is the median, which is represented by the line in the box at 19. This is because the data is skewed, with a longer tail to the right, and the median is less sensitive to extreme values compared to the mean. Therefore, the correct answer is: The median is the best measure of center, and it equals 19.
Answer 3: The measure of variability that the charity should use to accurately represent the data is the IQR (Interquartile Range), which is the range of the middle 50% of the data. The reason for this is that the data is skewed to the right, with many values concentrated in the upper range of the data, and the IQR is less sensitive to outliers compared to the range.
The IQR for this data is 20-10=10, which represents the spread of the middle 50% of the data. Therefore, the correct answer is: The IQR of 20 is the most accurate to use, since the data is skewed.
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One study based on responses from 1, 024 randomly selected teenagers, concluded that 42% of teenagers cite grades as their greatest source of pressure. Use a 0.05 significance level to test the claim that fewer than half of all teenagers in the population feel that grades are their greatest source of pressure.
Formulate the null and alternative hypotheses. Choose the correct answer below.
A. H_0: p = 0.5
H_a: p > 0.5
B. H_0: p = 0.5
H_a: p = 0.5
C. H_0: p < 0.5
H_a: p = 0.5
D. H_0: p = 0.5
H_a: p < 0.5
Answers
The null and alternative hypotheses are H_0: p ≥ 0.5 H_a: p < 0.5. So, the correct answer is option D.
Given that a study based on responses from 1, 024 randomly selected teenagers, concluded that 42% of teenagers cite grades as their greatest source of pressure. We have to test the claim that fewer than half of all teenagers in the population feel that grades are their greatest source of pressure. We need to formulate the null and alternative hypotheses.
For a 0.05 significance level, we have to consider the rejection region as less than 0.5. Since we need to test whether fewer than half of all teenagers in the population feel that grades are their greatest source of pressure, we should consider the null hypothesis as H0: p ≥ 0.5 (more than or equal to 50% of teenagers cite grades as their greatest source of pressure) and the alternative hypothesis as Ha: p < 0.5 (less than 50% of teenagers cite grades as their greatest source of pressure).
Therefore, the correct option is D. H0: p = 0.5 and Ha: p < 0.5.
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(1) Find a factorization of the polynomial x^2 − 2 ∈ Z7[x] into
irreducible polynomials.
(2) Which of the polynomials x^3 − k, where k = 0 . . . 6, are
irreducible in Z7[x].
(3) Find a factoriza
Answers
(1) The polynomial x^2 − 2 can be factored into (x + 5)(x − 5) in Z7[x].
(2) The polynomials x^3 − k, where k = 0, 1, 2, 3, 4, 5, 6, are all irreducible in Z7[x].
(3) The polynomial x^4 − 1 can be factored into (x − 1)(x + 1)(x^2 + 1) in Z7[x].
This is because 5 and −5 are both roots of the polynomial, since 5^2 ≡ 2 (mod 7) and (−5)^2 ≡ 2 (mod 7).
This is because none of them have any roots in Z7, which means they cannot be factored into lower degree polynomials.
For example, x^3 − 0 has no roots in Z7, since there is no integer x such that x^3 ≡ 0 (mod 7). Similarly, x^3 − 1 has no roots in Z7, since there is no integer x such that x^3 ≡ 1 (mod 7), and so on for the other values of k.
This is because 1, −1, and ±i are all roots of the polynomial, since 1^4 ≡ 1 (mod 7), (−1)^4 ≡ 1 (mod 7), and (±i)^4 ≡ 1 (mod 7). Therefore, x^4 − 1 = (x − 1)(x + 1)(x^2 + 1) in Z7[x].
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13- What are the advantages of 'Monthly Reporting Form'? * a) Reduced administrative hassle compared to single shot b) Lower rate c) A and \( B \) d) Non 14- What policy/bond is NOT required under sta
Answers
The advantages of the 'Monthly Reporting Form' are given below:a) Reduced administrative hassle compared to single shot: Monthly reporting forms reduce the workload of administrative work that may have been required if it was a single-shot.
For instance, when it comes to accounting and finance, monthly reporting can help to reduce the administrative burden that comes with running a business. This is because monthly reporting makes it easier to keep track of financial data, ensuring that records are updated on a more frequent basis.
There is a lower rate associated with monthly reporting forms as they can offer a reduction in cost compared to single-shot options. This is because they can save time and money in the long run, reducing the amount of work and administration required to keep track of things.
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the length of rectangle is 6/5 of its breath and perimeter is 132 m find area of rectangle
Answers
Answer:
1,080 meters squared.
Step-by-step explanation:
Let's say the breadth of the rectangle is x. That means the length of it is 6/5x.
The perimeter is 132 meters. The formula for the perimeter is 2 times the breadth plus two times the length.
2(x) + 2(6/5x) = 132
2x + 12/5x = 132
10/5x + 12/5x = 132
22/5x = 132
22x = 660
x = 30.
That means that the breadth of the rectangle is 30 meters, and the length is (6/5) * 30 = 6 * 6 = 36 meters.
The formula for the area of the rectangle is the breadth times the length, so the area is 36 * 30 = 1,080 meters squared.
Hope this helps!
Breakout room#5 code?
Answers
Answer:
what do you mean
Step-by-step explanation:
Answer:
G8YT85
Step-by-step explanation:
A university offers a certain course that students can take in-person or in an online setting. Teachers of the course were curious if there was a difference in the passing rate between the two settings. Data from a recent semester showed that
80
%
80%80, percent of students passed the in-person setting, and
75
%
75%75, percent of students passed the online setting. They were willing to treat these as representative samples of all students who may take each setting of the course.
The teachers used those results to make a
95
%
95%95, percent confidence interval to estimate the difference between the proportion of students who pass in each setting of the course
(
�
in-person
−
�
online
)
(p
in-person
−p
online
)left parenthesis, p, start subscript, start text, i, n, negative, p, e, r, s, o, n, end text, end subscript, minus, p, start subscript, start text, o, n, l, i, n, e, end text, end subscript, right parenthesis. The resulting interval was approximately
(
−
0.04
,
0.14
)
(−0.04,0.14)left parenthesis, minus, 0, point, 04, comma, 0, point, 14, right parenthesis. They want to use this interval to test
�
0
:
�
in-person
=
�
online
H
0
:p
in-person
=p
online
H, start subscript, 0, end subscript, colon, p, start subscript, start text, i, n, negative, p, e, r, s, o, n, end text, end subscript, equals, p, start subscript, start text, o, n, l, i, n, e, end text, end subscript versus
�
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:
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H, start subscript, start text, a, end text, end subscript, colon, p, start subscript, start text, i, n, negative, p, e, r, s, o, n, end text, end subscript, does not equal, p, start subscript, start text, o, n, l, i, n, e, end text, end subscript. Assume that all conditions for inference have been met.
Based on the interval, what do we know about the corresponding P-value and conclusion at the
�
=
0.05
α=0.05alpha, equals, 0, point, 05 level of significance?
Answers
Based on the interval, what we know about the corresponding p-value is D. The p-value is greater than \(\alpha\)= 0.05 and they cannot conclude that there is a difference between the proportions.
How to solveHere we have:
P (in person) = 0.80
P(online)= 0.75
Hypothesis
P(in person) = P(online)
P(in person) not equals to P(online)
This is a two-tailed test.
95% confidence interval is (-0.04,0.14)
Since the confidence interval contains zero, we fail to reject the null hypothesis
The correct answer is D. The p-value is greater than \(\alpha\)= 0.05 and they cannot conclude that there is a difference between the proportions.
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david hosts a podcast, and he is curious how much his listeners like his show. he decides to start with an online poll. he asks his listeners to visit his website and participate in the poll. the poll shows that 89% of the 200 respondents "love" his show.
Answers
According to the online poll, 89% of the 200 respondents "love" David's podcast.
David conducted an online poll to gauge the level of appreciation his listeners have for his show. Out of the 200 respondents who participated in the poll, an impressive 89% expressed their love for the podcast. This indicates a high level of satisfaction and support from the audience. Gathering feedback through polls can provide valuable insights for content creators like David, helping them understand their audience's preferences and make informed decisions about their podcast. By engaging his listeners and actively seeking their feedback, David can continue to improve and cater to their interests, ultimately enhancing their overall experience with the show.
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3
Period
Date
5. If a teacher were to distribute sheets of
paper so that each student got two
sheets, there would be 8 sheets
remaining. However, if three sheets
were given to each student, the teacher
would be 11 sheets short. Which
equation could be used to find how
many students are in the class?
Answers
If teacher is distributing sheets in a class, then the equation which is used to find number of students in class is (d) 2x+8 = 3x - 11.
A "Linear-Equation" is a mathematical equation that represents a straight line in a coordinate plane. It is of form : y = mx + b
where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept (the point at which the line crosses the y-axis).
Let number of students in class be denotes as "x",
If each student get 2 sheets, then 8 sheets are remaining, it is mathematically represented as : 2x + 8 ,
If each student get 3 sheets each, then there would be 11 sheets less, and this is represented as : 3x - 11,
So, the equation which is used to find number of students in class is 2x+8=3x-11,
Therefore, the correct option is (d).
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The given question is incomplete, the complete question is
If a teacher were to distribute sheets of paper so that each student got two sheets, there would be 8 sheets remaining. However, if three sheets were given to each student, the teacher would be 11 sheets short. Which equation could be used to find how many students are in the class?
(a) 2(x - 8) = 3(x + 11)
(b) 2(x + 8) = 3(x - 11)
(c) 2x-8 = 3x + 11
(d) 2x+8 = 3x - 11
Write the number name and expanded form for the number of driver ants that could be in two colonies. Up to 22,000,000 driver of ants can live in a single colony
Answers
Answer: number name = 22 million
Expanded form: 22,000,000 = 20,000,000+2,000,000
Step-by-step explanation:
To write the number name and expanded form for the number of driver ants that could be in two colonies.
Given: Up to 22,000,000 driver of ants can live in a single colony
Since 1, 000, 000 =1 million
So 22,000,000= 22 million
Expanded form: 22,000,000 = 20,000,000+2,000,000
Hence, number name = 22 million
Expanded form: 22,000,000 = 20,000,000+2,000,000
Simply 4 square root 7 multiple of 8
Answers
-i got it correct
Please answer and show all steps! Urgent :( Last 11 points I have left
Thank you!
Answers
Answer:
Red Line: y = \(\frac{5}{2} x\) - 9
Blue Line: y = -2x + 6
Yellow Line: y = \(\frac{-1}{3}x\) + 9
Step-by-step explanation:
y=mx+b is the slope-intercept formula for a line. This means that this equation tells you the y-intercept of a line as well as the slope of a line. In this formula, m is equal to the slope, and b is equal to the y-intercept.
The Y-intercept of a line is where the line crosses the y-axis.
The slope of a line is how much the line is increasing or decreasing by. You can calculate this number by dividing how much the line increases by the y-axis by how much the line increases on the x-axis. Essentially, you divide the line's rise over its run, or the change in y over the change in x.
Slope formula: \(\frac{x_{1}-x_{2}}{y_{1}-y_{2}}\)
\(x_{1}\) and \(y_{1}\) make up one coordinate, and \(x_{2}\) and \(y_{2}\) make up another. Both of these points must land on the same line--the line you are trying to find the slope of.
Red Line:
In this photo, we can clearly see what the y-intercept is. The slope intercept is -9, so b = -9.
To find the slope, you take two points and find the difference of their y-values and divide that by the difference of their x-values.
On the red line, we can see that the line crosses points (2, -4) and (0, -9). Let's find the slope by subtracting the y-values first:
-4 - (-9) = 5
5 is your change in y values, or your rise!
Now, let's subtract the x-values:
2 - 0 = 2
2 is your change in x values, or your run!
In order to finally find the slope of this line, you divide your change in y by your change in x. Therefore, you divide 5 by 2.
Your slope is \(\frac{5}{2}\). It's okay to leave slopes in fraction form!
So, now you plug in your slope and y-intercept that we found before into your formula! Remember:
b = y-intercept
m = slope
So, y = \(\frac{5}{2} x\) - 9 is the formula for your line!
Red line: y = \(\frac{5}{2} x\) - 9
Now, we repeat the process with the other lines. Let's do the blue line:
We can see that the y-intercept is 6. So, b = 6.
Now, let's calculate the slope. Let's find points on the blue line that we can use!
Point 1: (0, 6)
Point 2: (1, 4)
Let's subtract the y values:
6 - 4 = 2
Let's subtract the x values:
0 - 1 = -1
When we divide 2 (our change in y) by -1 (our change in x), we are left with -2 as our slope!
Slope = -2
So, when we plug everything into our equation, we get:
y = -2x + 6
Blue Line: y = -2x + 6
Now, for the last one!
We can see that the y-intercept is 9, so b = 9.
Let's calculate the slope:
Point 1: (0, 9)
Point 2: (3, 8)
Subtract the y-values:
9 - 8 = 1
Subtract the x-values:
0 - 3 = -3
Divide the change in y by the change in x:
1 ÷ -3 = \(\frac{-1}{3}\)
Slope = \(\frac{-1}{3}\)
Plug everything in!
y = \(\frac{-1}{3}x\) + 9
Yellow Line: y = \(\frac{-1}{3}x\) + 9
A store pays $100 for a barbecue grill and marks the price up by 7%. What is the amount
of the mark-up?
Answers
Answer:
$7
multiply .07 times 100
Zarah earns a weekly salary of $445 plus a commission of 8.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $1,200 worth of merchandise? How much would Zarah earn for that week?
Answers
Answer:
$547
Step-by-step explanation:
Answer:
547
Step-by-step explanation:
Scientists use the Logistic Growth function P(t) =PoK/Po+(K-Po)e^rot
to model population growth where Po is the population at some reference point, K is the carrying capacity which is a theoretical upper bound of the population and ro is the base growth rate of the population.
Write a logistic growth function for the world 1999 (t=0) reached 6 billion, K=15 billion and r0= 0.025 per year.
Answers
The required answer is P(t) = 9.0066 billion / 1 + (15 billion - 9.0066 billion) e^(0.025 * t)
The Logistic Growth function is:P(t) = PoK / Po + (K - Po) e^(r0*t)
Where,Po is the population at some reference point
K is the carrying capacity of the population
ro is the base growth rate of the population
Given that for the year 1999, t = 0 and the population was 6 billion, carrying capacity K = 15 billion, and base growth rate ro = 0.025 per year.Po = 6 billion K = 15 billion r0 = 0.025
We substitute these values into the logistic growth function:
P(t) = PoK / Po + (K - Po) e^(r0*t)
P(t) = 6 billion * 15 billion / 6 billion + (15 billion - 6 billion) e^(0.025 * 0)P(t) = 90 billion / 15 billion + 9 billion
P(t) = 99 billion / 15 billion + 9 billionP(t) = 6.6 + 9 billion = 9.0066 billion
So, the logistic growth function for the world when it had 6 billion people in 1999 with carrying capacity K = 15 billion and base growth rate ro = 0.025 per year is:
P(t) = 9.0066 billion / 1 + (15 billion - 9.0066 billion) e^(0.025 * t)
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The formula y - y1=m(x - x,) is the point-slope form of the equation of a line where m is the slope of the line and (x,y) and (X1,Y,) are points of the line. Solve the equation for m. Find the slope of a line that includes the points (5,-2) and 6,0).
Answers
To find the slope of a line that includes the points (5,-2) and 6,0).
Using the formula;
\(m\text{ =}\frac{y_2-y_1}{x_2-x_1}\)
where m is the slope
x₁ = 5 y₁= -2 x₂ = 6 y₂=0
substituting the values into the formula;
\(m\text{ = }\frac{0+2}{6-5}\)m = 2/1
m=2
Hence; the slope is 2
How much would it cost to buy a cover for the pool that cost $0.30 per square foot
Answers
It would cost $735 to buy a cover for the pool at $0.30 per square foot
How much would it cost to buy a cover for the poolFrom the complete question (see attachment), we have the following parameters that can be used in our computation:
Unit rate = $0.30 per square foot
Dimensions = 10 inches by 20 inches
Scale = 2 inches : 7 feet
Using the above as a guide, we have the following:
Total cost = Unit rate * Area of pool
Where
Area of the pool = 10 inches * 20 inches
Using the scale, we have
Area of the pool = (10 * 7/2)* (20 * 7/2) square feet
Area of the pool = 2450 square feet
Substitute the known values in the above equation, so, we have the following representation
Total cost = $0.30 per square feet * 2450 square feet
This gives
Total cost = $735
Hence, it would cost $735 to buy a cover for the pool
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Complete question
The blueprint of a pool has a scale of 2 inches equals 7 feet. The scale drawing is shown below (see attachment)
How much would it cost to buy a cover for the pool that cost $0.30 per square foot
I really really need help if it is correct you will get brainlist
Answers
Answer:
9 is the most highest frequency and the third one is the answer
A bird is flying directly above a tree. You are standing 84 feet away from the base of the tree. The angle of elevation to the top of the tree is 38, and the angle of elevation to the bird is 60, what is the distance from the bird to the top of the tree
Answers
The distance from the bird to the top of the tree is 61.95 feet.
We have,
Angle of elevation to the top of the tree: 38 degrees.
Angle of elevation to the bird: 60 degrees.
Distance from the base of the tree to your position: 84 feet.
Let the distance from the bird to the top of the tree as 'x'.
Using Trigonometry
tan(38) = height of the tree / 84
height of the tree = tan(38) x 84
and, tan(60) = height of the tree / x
x = height of the tree / tan(60)
Substituting the value of the height of the tree we obtained earlier:
x = (tan(38) x 84) / tan(60)
x ≈ 61.95 feet
Therefore, the distance from the bird to the top of the tree is 61.95 feet.
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4x-3 + 3x2 + 2x + 1
what’s the answer and is it a polynomial
Answers
What is the area of this face?
Answers
Answer: I think it would be 30 ft
Step-by-step explanation: You would do LxW and get the anwer.
Please help me 10 points i just joined today ;)
Answers
Answer:
Equation: y=-2,000x+30,000
Slope: Plane is going down at the rate of 2,000 feet per minute
y-intercept: The intal altitude is 30,000 feet in the air
10 minute: 10,000 feet
0 altitude: 15 minutes
Step-by-step explanation:
y=x-7 fill in the table with the corresponding x values
Answers
The equation is given as,
\(y=x-7\)Consider the value of 'x' as -3, the corresponding y-coordinate will be,
\(\begin{gathered} y=(-3)-7 \\ y=-3-7 \\ y=-10 \end{gathered}\)Consider the value of 'x' as 2, the corresponding y-coordinate will be,
\(\begin{gathered} y=(2)-7 \\ y=2-7 \\ y=-5 \end{gathered}\)Consider the value of 'x' as 5, the corresponding y-coordinate will be,
\(\begin{gathered} y=(5)-7 \\ y=5-7 \\ y=-2 \end{gathered}\)Thus, the table will contain (-3,-10), (2,-5) and (5,-2).
The corresponding table is given below,
Answer:
1. -10
2. -5
3. -2
Step-by-step explanation:
1. -3 - 7 = -10
2. 2 - 7 = -5
3. 5 - 7 = -2