Answer:
one solution
Step-by-step explanation
combine like terms
Answer:
one solution, x = -1
Step-by-step explanation:
11x-2+15=8+7+9x
=> 11x-9x=15-17
=> 2x=-2
=> x=-1
a neighborhood is home to 1550 residents. its area is 2.5 square miles. what is the population density in the neighborhood?
The population density in the neighborhood is 620 residents per square mile .Therefore, the population density in the neighborhood is 620 people per square mile.
To find the population density of the neighborhood, we divide the total number of residents by the area. So:
Population density = Total number of residents / Area
Plugging in the given values, we get:
Population density = 1550 / 2.5
Simplifying this division, we get:
Population density = 620 people per square mile
Therefore, the population density in the neighborhood is 620 people per square mile.
The population density of a neighborhood can be calculated by dividing the total number of residents by the area in square miles. In this case, there are 1550 residents and the area is 2.5 square miles.
To calculate the population density, use the following formula:
Population Density = Total Residents / Area in Square Miles
Population Density = 1550 residents / 2.5 square miles = 620 residents per square mile
So, the population density in the neighborhood is 620 residents per square mile.
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Which of the following equations has -4 as a possible value of p?
Choose all answers that apply:
А
p2 = 16
B
p3 = 64
None of the above
Advanced Steel, Inc., needs a particular type of brick to line its kilns in order to safely achieve the high temperatures needed for the unusually strong steel it produces. The clay to make this brick is very rare, and only two brick plants in the United States make this type of brick. Advanced Steel has decided to buy one of these brick plants. This is an example of:
a. backward integration
b. virtual integration
c. chorizontal integration
d. forward integration
The example provided, where Advanced Steel, Inc. decides to buy one of the brick plants that produce the specific brick required for its kilns, is an instance of forward integration. Correct option is D).
Forward integration is a business strategy where a company expands its operations by acquiring or owning businesses that are part of the downstream supply chain or distribution channels. It involves moving closer to the end consumers of a product or service. In this case, Advanced Steel, Inc. is involved in the production of unusually strong steel, and it requires a specific type of brick to line its kilns to achieve high temperatures safely.
By deciding to buy one of the brick plants, Advanced Steel, Inc. is integrating forward in its supply chain. It is moving closer to the source of the specific brick it needs, ensuring a consistent and reliable supply. This integration allows Advanced Steel to have more control over the production and availability of the required brick, reducing dependence on external suppliers and potential disruptions in the supply chain.
By owning the brick plant, Advanced Steel can align the production of the necessary brick with its own manufacturing processes, potentially improving efficiency, quality control, and cost management. This forward integration strategy helps Advanced Steel to secure a critical input for its production process and strengthen its overall business operations.
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An Amtrak official obtains data on a particular day concerning the length of time (in minutes) that the metroliners leaving New York take to reach Philadelphia, with the following results:
93 89 91 87 91 89
Find the sample variance.
a. 3.6
b. 5.6
c. 6.8
d. 7.6
e. 4.4
The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.
The sample variance is a measure of how much the individual data points in a sample vary from the mean.
It is calculated by finding the average of the squared differences between each data point and the mean.
To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:
Calculate the mean (average) of the data set:
Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90
Subtract the mean from each data point and square the result:
(93 - 90)^2 = 9
(89 - 90)^2 = 1
(91 - 90)^2 = 1
(87 - 90)^2 = 9
(91 - 90)^2 = 1
(89 - 90)^2 = 1
Calculate the sum of the squared differences:
9 + 1 + 1 + 9 + 1 + 1 = 22
Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):
Variance = 22 / 5 = 4.4
It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.
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46x = 138??
14x = 42?
8x = 32?
8x = 6?
18x = 234?
Answer:
ok here we go
Step-by-step explanation:
i dont know this one but an easy was to get all of your answers is to search up something like exponent calculator and i use sights like mathpapa and caculator soup soo good luck
Determine the future value of a simple interest investment where 5% interest paid monthly for
1.5 years on $1000.
Answer:
Step-by-step explanation:
The simple interest formula is given by I = Prt, where P is the principal amount, r is the interest rate (per compounding period), and t is the time in years.
In this case, the interest rate is 5% per month, so we need to convert it to the equivalent annual interest rate, given by r = (0.05 x 12) = 0.6 (since there are 12 months in a year).
The time is 1.5 years, so t = 1.5.
So, the simple interest is:
I = Prt = 1000 x 0.6 x 1.5 = 900
The future value of the investment is the principal amount plus the interest earned, given by:
Future value = P + I = 1000 + 900 = 1900
So, the future value of the investment is $1900.
Answer: the future value of the simple interest investment, where 5% interest is paid monthly for 1.5 years on $1000, is $18074.06.
Step-by-step explanation:
To determine the future value of a simple interest investment, we need to calculate the interest earned over the investment period and add it to the original investment amount. Here's a step-by-step explanation for calculating the future value of a simple interest investment with a 5% interest rate paid monthly for 1.5 years on $1000:
Step 1: Convert the annual interest rate to a monthly rate.
Since the interest rate is 5% per year and the interest payments are made monthly, we need to convert the annual interest rate to a monthly interest rate. We can do this by dividing the annual interest rate by 12:
Monthly interest rate = Annual interest rate / 12
Monthly interest rate = 5% / 12 = 0.05 / 12 = 0.00417
Step 2: Calculate the interest payment for each month.
For each month, we can calculate the interest payment by multiplying the monthly interest rate by the current balance:
Interest payment = Monthly interest rate * Current balance
Let's calculate the interest payment for the first month:
Interest payment = 0.00417 * $1000 = $4.17
Step 3: Add the interest payment to the current balance to get the new balance.
After each interest payment, we can add it to the current balance to get the new balance:
New balance = Current balance + Interest payment
New balance = $1000 + $4.17 = $1004.17
Step 4: Repeat the steps for each month.
We can repeat steps 2 and 3 for each of the 12 months in the first year and then for the 6 months in the second year.
Step 5: Add up the final balance.
After all 18 interest payments have been made, the final balance will be the sum of all the new balances:
Final balance = $1004.17 + $1004.17 + ... + $1004.17 (18 times) = $1004.17 * 18 = $18074.06
So, the future value of the simple interest investment, where 5% interest is paid monthly for 1.5 years on $1000, is $18074.06.
Each day, 15% of the chlorine in a swimming pool evaporates. After how many days will 60% of the chlorine have evaporated?
Answer:
4 days
Step-by-step explanation:
15x4=60
You will begin with a relatively standard calculation. Consider a concave spherical mirror with a radius of curvature equal to 60.0 centimeters. An object 6.00 centimeters tall is placed along the axis of the mirror, 45.0 centimeters from the mirror. You are to find the location and height of the image.Part What can one say about the size of the magnification of a single convex mirror? It is greater than one It is equal to one. It is less than one. O
The size of the magnification of a single convex mirror can be either greater than one or less than one, depending on the position of the object relative to the mirror.
For a convex mirror, the image formed is always virtual and smaller than the object. The magnification is defined as the ratio of the height of the image to the height of the object. Since the image formed by a convex mirror is always smaller than the object, the magnification is always less than one. In fact, the magnification is inversely proportional to the distance of the object from the mirror. As the distance of the object from the mirror increases, the size of the image decreases, and the magnification decreases accordingly. Conversely, if the object is brought closer to the mirror, the size of the image increases and the magnification increases. So, a convex mirror always forms a virtual, diminished image.
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The lengths of the sides of a triangle are given. Classify each triangle as acute, right, or obtuse.
7.) 4, 5, 6
8.) 11, 12, 15
9.) 30, 40, 50
The given triangles are obtuse = 36 m, right angled = 225 m and right angled = 2500 m.
What is Triangle?Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.
7.) This triangle is obtuse.
To see this, we can use the Pythagorean theorem:
4*4 + 5*5 = 16 + 25 = 41
6*6 = 36 m
Since 41 > 36, we know that the triangle is obtuse.
8.) This triangle is right.
To see this, we can again use the Pythagorean theorem:
11*11 + 12*12 = 121 + 144 = 265
15*15 = 225 m
Since 265 = 225 + 40, we know that the triangle is right.
9.) This triangle is also right.
We can use the same method as before:
30*30 + 40*40 = 900 + 1600 = 2500
50*50 = 2500 m
Since 2500 = 2500, we know that the triangle is right.
Therefore, The given triangles are obtuse , right angled and right angled.
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Question 2 [5 marks] A rectangular milk carton holds 2.1 litres of milk (2100 cm³). The base of the carton is a square. The height is 26.64cm and the width and length are 8.88cm each. 2.1. If the width and length of the carton is doubled, and the height remains the same, how much milk will the carton now hold? (3)
The carton can hold 8402.7cm3 or 8.4 litres of milk now
What volume of milk can the carton hold now?Initially, the width and length of the carton are 8.88cm each.
Now, the width and length of the carton are doubled. That is:
The width and length are 2 x 8.88cm = 17.76 cm each
But the height remains the same: 26.64cm
Volume of the carton = width x length x height
= 17.76 x 17.76 x 26.64
= 8402.7 cm3 = 8.4 litres
Therefore, the quantity of milk the carton can hold now is 8402.7 cm3 or 8.4 litres.
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when the consumption schedule lies below the 45-degree reference line, saving:
When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.
How to explain the informationThe consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.
In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.
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When the consumption schedule lies below the 45-degree reference line, saving what does it means?
The function below describes the relationship between the height H and the width w of a rectangle with area 80 sq. units.What is the domain of the function?A.w < 1B.w > 1C.w > 0D.w < 0
The Solution:
Given:
We are required to determine the domain of the above function.
That is, the range of values of w.
\(\begin{gathered} Note: \\ w>0 \\ This\text{ means:} \\ Domain=(0,\infty) \end{gathered}\)Therefore, the correct answer is w > 0 [option C]
solve the system of equations. find both X's and multiply them together for the answer you enter. y=6x+1y=2x^2-10x-2
The given system of equations is:
\(\begin{gathered} y=6x+1\text{ Eq.(1)} \\ y=2x^2-10x-2\text{ Eq.(2)} \end{gathered}\)As y=y then we can equal both equations and solve for x as follows:
\(\begin{gathered} y=y \\ 6x+1=2x^2-10x-2 \\ \text{Subtract 6x from both sides} \\ 6x+1-6x=2x^2-10x-2-6x \\ 1=2x^2-16x-2 \\ \text{Subtract 1 from both sides} \\ 1-1=2x^2-16x-2-1 \\ 0=2x^2-16x-3 \end{gathered}\)Now, we have an equation in the form:
\(ax^2+bx+c=0^{}\)Where a=2, b=-16 and c=-3, we can apply the quadratic formula:
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)Replace the a, b and c values and solve to find the x-values:
\(\begin{gathered} x=\frac{-(-16)\pm\sqrt[]{(-16)^2-4(2)(-3)}}{2(2)} \\ x=\frac{16\pm\sqrt[]{256+24}}{4} \\ x=\frac{16\pm\sqrt[]{280}}{4} \\ x=\frac{16\pm\sqrt[]{4\cdot70}}{4} \\ x=\frac{16\pm2\sqrt[]{70}}{4} \\ \text{Then:} \\ x1=\frac{16+2\sqrt[]{70}}{4}=\frac{16}{4}+\frac{2\sqrt[]{70}}{4}=4+4.18=8.18 \\ x2=\frac{16-2\sqrt[]{70}}{4}=\frac{16}{4}-\frac{2\sqrt[]{70}}{4}=4-4.18=-0.18 \end{gathered}\)Then the x-values are: 8.18 and -0.18, and its multiplication is:
\(8.18\cdot-0.18=-1.5\)Answer: -1.5
Rashon is deciding between two landscaping companies for his place of business. Company A charges $50 per hour and a $150 equipment fee. Company B charges $25 per hour and a $300 equipment fee. Let
�
A represent the amount Company A would charge for
�
t hours of landscaping, and let
�
B represent the amount Company B would charge for
�
t hours of landscaping. Graph each function and determine the number hours,
�
,
t, that would make the cost of each company the same.
The cost of each company would be the same for 6 hours of landscaping.
What does it mean to equalise the two equations?Finding the intersection of the two lines, which reflects the number of hours where the costs of the two companies are equal, requires setting the two equations equal to one another. This is because the y-values of the two equations—i.e., the costs—are identical at that moment.
Given that, Company A charges $50 per hour and a $150 equipment fee.
The equation is:
A = 50t + 150
For company B:
B = 25t + 300
To graph the function find different values of A and B by substituting different values of t.
The two equations would make the same cost at the intersection of the two equations on the graph.
Or, through the equation we can calculate the same cost as:
50t + 150 = 25t + 300
25t = 150
t = 6
The two lines intersect at point t = 6.
Hence, the cost of each company would be the same for 6 hours of landscaping.
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find the total surface area of this cone
Answer:
Step-by-step explanation:
3.14*10*(10+24^2+10^2 squared)
31.4*5870 squared
31.4*76.62
240.5554
I don't know if this is right
Rex is going to plant a vegetable garden in his backyard. he can plant
it beneath a large oak tree, in the middle of the grassy lawn, or in a
shady back corner. in one or two sentences, explain which location
rex should plant the garden and why. (2 points)
bi u
i
Rex should plant the vegetable garden in the middle of the grassy lawn because it provides ample sunlight and fewer competing plants or trees that could hinder the growth of vegetables.
Rex should choose to plant the vegetable garden in the middle of the grassy lawn. This location offers several advantages for successful vegetable growth. Firstly, being in the middle of the lawn ensures that the garden receives abundant sunlight throughout the day. Sunlight is crucial for photosynthesis, which is essential for the growth and development of plants, including vegetables.
Secondly, the grassy lawn provides a relatively open space without the presence of large trees or plants that could potentially compete for nutrients, water, and sunlight. Planting the garden beneath a large oak tree or in a shady back corner may result in limited sunlight and increased competition for resources from the existing vegetation.
By choosing the middle of the grassy lawn, Rex can maximize the garden's exposure to sunlight and minimize the competition from other plants, creating favorable conditions for the vegetables to thrive and yield a successful harvest.
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Is there a dilation that maps shape III onto shape II? If so, what is the scale factor and is it an enlargement or a reduction?
Answer:
Step-by-step explanation:
Vertex of Shape I : (1,1) (2,1) (2,2) (1,2) ---- (x,y)
Vertex of Shape II : (3,3) (6,3) (6,6) (3,6) ---(x',y') : (x*3 , y*3)
Vertex of Shape III : (2,2) (4,2) (4,4) (2,4) --- (x'',y'') -> (x' , y') : (x''*1.5 , y''*1.5)
Shape I dilate on to Shape II: Enlargement with scale factor of 3
dilation the Maps shape lll onto shape ll : Enlargement with scale factor of 1.5
Answer:
Step-by-step explanation: sample answer
A dilation will map shape III onto shape II. The bottom left coordinate of shape III is (2, 2) and the bottom left coordinate of shape II is (3, 3). So, to get the corresponding coordinates of shape II, multiply the coordinates of shape III by 2/3 . This is true for every set of coordinates. So, the scale factor is 3/2. The scale factor is greater than 1, so the dilation is an enlargement.
The maintenance manager at a trucking company wants to build a regression model to forecast time until the first engine overhaul based on four explanatory variables: (1) annual miles driven, (2) average load weight, (3) average driving speed, and (4) oil change interval. Based on driver logs and onboard computers, data have been obtained for a sample of 25 trucks.
a.Estimate the time until the first engine overhaul as a function of all four explanatory variables.
b-1.At the 10% significance level, are the explanatory variables jointly significant? First, specify the competing hypotheses.
b-2.What is the p-value for the test on joint significance?
b-3.What is the conclusion to the test on joint significance?
c-1.Are the explanatory variables individually significant at the 10% significance level? First, specify the competing hypotheses.
c-2.What are the p-values and conclusions for the tests on individual significance for each explanatory variable?
The maintenance manager of a trucking firm wishes to create a regression model based on four explanatory variables: (1) annual miles travelled, (2) average load weight, (3) average driving speed, and (4) oil change interval to anticipate when the first engine overhaul will occur. Data have been acquired for a sample of 25 vehicles based on driver logs and onboard computers, Based on given information, description of asked questions are as follow-
a. The maintenance manager can estimate the time until the first engine overhaul by building a regression model using the four explanatory variables: annual miles driven, average load weight, average driving speed, and oil change interval. In regression analysis, the manager can use the sample data of 25 trucks to estimate the relationship between the explanatory variables and the time until the first engine overhaul. By fitting the data to a regression model, the manager can obtain the coefficients for each explanatory variable, indicating their impact on the time until the first engine overhaul.
This model can then be used to forecast the time until the first engine overhaul for future trucks based on their values for the explanatory variables.b-1. The competing hypotheses for testing the joint significance of the explanatory variables are as follows:
- Null hypothesis (H0): The coefficients of all four explanatory variables are equal to zero (no significant relationship).
- Alternative hypothesis (Ha): At least one of the coefficients of the explanatory variables is not equal to zero (significant relationship exists).
b-2. To determine the p-value for the test on joint significance, the manager needs to perform a statistical test, such as the F-test, to assess the overall significance of the explanatory variables. The p-value represents the probability of obtaining the observed test statistic or a more extreme value, assuming the null hypothesis is true. The specific p-value can be obtained from the F-distribution.
b-3. The conclusion to the test on joint significance depends on comparing the obtained p-value to the predetermined significance level (in this case, 10%). If the p-value is less than 0.10, the manager can reject the null hypothesis and conclude that the explanatory variables have a joint significant effect on the time until the first engine overhaul. Conversely, if the p-value is greater than or equal to 0.10, there is insufficient evidence to reject the null hypothesis, indicating that the explanatory variables do not have a joint significant effect.c-1. To assess the individual significance of the explanatory variables at the 10% significance level, the following competing hypotheses can be specified for each variable:
- Null hypothesis (H0): The coefficient of the individual explanatory variable is equal to zero (no significant relationship).
- Alternative hypothesis (Ha): The coefficient of the individual explanatory variable is not equal to zero (significant relationship exists).
c-2. To determine the p-values and conclusions for the tests on individual significance, the manager needs to perform separate statistical tests for each explanatory variable, such as t-tests. The p-value represents the probability of obtaining the observed test statistic or a more extreme value, assuming the null hypothesis is true.
If the p-value is less than 0.10, the manager can reject the null hypothesis and conclude that the individual explanatory variable is significant. On the other hand, if the p-value is greater than or equal to 0.10, there is insufficient evidence to reject the null hypothesis, indicating that the individual explanatory variable is not significant at the 10% significance level.
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CAn anyone help me with this question plz
Answer:
3000ft²
Step-by-step explanation:
2cm =5 ft
24 cm = 60 ft
20 cm = 50 ft
Area = 60 *50
= 3000
find the sum:
13,16,19,...301
thanks!
Answer:
349
Step-by-step explanation:
please give thanks by clicking the heart :)
What are three consecutive integers that have a sum of 51?
Answer:
16, 17 and 18 im pretty sure
Step-by-step explanation:
Answer:
16, 17 and 18
Step-by-step explanation:
16+17+18=51
select the correct answer from the drop-down menu
1.
2
3
4
5
6
7
T
9
8
10
11
This graph represents the inequality
1. X + 2 <4
2. 2x > 3
3. X + 6 < 12
4. 2x > 12
Answer:2x>3
Step-by-step explanation:
2
>
3
3
+
6
<
1
2
4
2
>
1
2
Need help please!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. 3x = 12 . the answer is d. x = 4
9.
Express 28% as a decimal
The sample space for tossing a coin 3 times is {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.
Determine P(at least 2 heads).
13%
25%
50%
80%
Probability of getting at least 2 heads is 50%.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given the sample space for tossing a coin 3 times as,
{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.
Total number of outcomes in the sample space = 8
At least 2 heads means, heads can be 2 or more, for which the only possibilities are 2 heads or 3 heads.
Number of outcomes having 2 heads = 3
Number of outcomes having 3 heads = 1
P(at least 2 heads) = P(2 heads) + P(3 heads)
= 3/8 + 1/8
= 4/8
= 1/2
= 0.5 = 50%
Hence there is a 50% chance for getting at least 2 heads.
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Answer:
Probability of getting at least 2 heads is 50%.
Step-by-step explanation:
What is Probability?
Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given the sample space for tossing a coin 3 times as,
{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.
Total number of outcomes in the sample space = 8
At least 2 heads means, heads can be 2 or more, for which the only possibilities are 2 heads or 3 heads.
Number of outcomes having 2 heads = 3
Number of outcomes having 3 heads = 1
P(at least 2 heads) = P(2 heads) + P(3 heads)
= 3/8 + 1/8
= 4/8
= 1/2
= 0.5 = 50%
Hence there is a 50% chance for getting at least 2 heads.
The sequence negative one fifth comma two sixths comma negative three sevenths comma four eighths and so on is given.
The \($n^{th}$\) term of the given sequence is \($$a_n = (-1)^{n+1} \frac{n}{n+4}$$\)
The given sequence is
\($$-\frac{1}{5}, \frac{2}{6}, -\frac{3}{7}, \frac{4}{8}, \dots$$\)
The problem is to find the first 5 terms and the \($n^{th}$\) term of the given sequence.
Step-by-step explanation: The given sequence is
\($$-\frac{1}{5}, \frac{2}{6}, -\frac{3}{7}, \frac{4}{8}, \dots$$\)
To find the first 5 terms of the given sequence, we will plug in the values of n one by one.
We have the sequence formula,
\($$a_n = (-1)^{n+1} \frac{n}{n+4}$$\)
When n = 1,
\($$a_1 = (-1)^{1+1} \frac{1}{1+4} = -\frac{1}{5}$$\)
When n = 2,
\($$a_2 = (-1)^{2+1} \frac{2}{2+4} = \frac{2}{6} = \frac{1}{3}$$\)
When n = 3,
\($$a_3 = (-1)^{3+1} \frac{3}{3+4} = -\frac{3}{7}$$\)
When n = 4,
\($$a_4 = (-1)^{4+1} \frac{4}{4+4} = \frac{4}{8} = \frac{1}{2}$$\)
When n = 5,
\($$a_5 = (-1)^{5+1} \frac{5}{5+4} = -\frac{5}{9}$$\)
Thus, the first 5 terms of the given sequence are \($$-\frac{1}{5}, \frac{1}{3}, -\frac{3}{7}, \frac{1}{2}, -\frac{5}{9}$$\)
Now, to find the \($n^{th}$\) term of the given sequence, we will use the sequence formula.
\($$a_n = (-1)^{n+1} \frac{n}{n+4}$$\)
Thus, the \($n^{th}$\) term of the given sequence is \($$a_n = (-1)^{n+1} \frac{n}{n+4}$$\)
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Function R gives the amount of rain measured by
rain gauge t hours since it started raining. The amount of rain is measured in millimeters.
Use function notation to represent this statement:
it Six hours after it started raining, the amount of rain was 37 millimeters
R(37) = 6
t=37, R=6
t=6, R=37
R(6) = 37
R(6) = 37 means that 37 millimeters of rain were measured when it had been raining for 6 hours.
The function notation for the given statement is: R(6) = 37, where R represents the amount of rain measured in millimeters and 6 represents the number of hours since it started raining when 37 millimeters of rain were measured. In other words, we can represent the amount of rain measured by the function R, where the input t represents the number of hours since it started raining and the output R(t) represents the amount of rain measured in millimeters. So, in this case, R(6) = 37 means that 37 millimeters of rain were measured when it had been raining for 6 hours.
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Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads?.
Answer:
1/3
Step-by-step explanation:
3/9 = 1/3
Interest on $5.255 at 12% for 30 days (use ordinary interest) is: Multiple Choice 1:35 $52.55 $5,307.55 $5.26 $5,260.26
The interest on $5.255 at 12% for 30 days using ordinary interest is approximately $0.0511.
To calculate the interest using ordinary interest, we can use the formula:
Interest = Principal * Rate * Time
Here, the principal (P) is $5.255, the rate (R) is 12% (or 0.12), and the time (T) is 30 days.
Plugging in the values:
Interest = $5.255 * 0.12 * (30/365) = $0.0511 (rounded to four decimal places)
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Can someone help me Im confused
lenght=177
width= 46
Step-by-step explanation:
l= lenght w=widht
l= 4*w -7
perimeter= 2l+2w = 446
so:
2(4*w -7)+2w=446
8w-14+2w=446
10w=460
w=46
and
l=4*46-7
l= 177
Answer:
Explanation:
To find the dimensions of the playing field, let's assign variables. Let's say the width of the field is "w" yards.
According to the problem, the length of the field is 7 yards less than quadruple the width. This can be written as:
Length = 4w - 7
The perimeter of a rectangle is the sum of all its sides. In this case, the perimeter is given as 446 yards.
The formula for the perimeter of a rectangle is:
Perimeter = 2(Length + Width)
Substituting the given values, we get:
446 = 2(4w - 7 + w)
Now, let's solve the equation step-by-step to find the value of "w" and then find the dimensions of the field.
1. Distribute 2 to the terms inside the parentheses:
446 = 2(5w - 7)
2. Simplify the expression inside the parentheses:
446 = 10w - 14
3. Move -14 to the other side of the equation:
446 + 14 = 10w
4. Combine like terms:
460 = 10w
5. Divide both sides of the equation by 10:
46 = w
Now that we have the value of "w", we can find the length of the field by substituting it into the equation for the length:
Length = 4w - 7
Length = 4(46) - 7
Length = 184 - 7
Length = 177 yards
Therefore, the dimensions of the playing field are:
Width = 46 yards.
Length = 177 yards.