Answer:
40.56 ft
Step-by-step explanation:
Diameter of semicircle = 8 ft
Radius of semicircle r = 8/2 = 4 ft
Perimeter of figure
\( = 8 + 10 + 10 +\frac{1}{\cancel{2}}\times \cancel{2}\pi r \\ \\ = 28 + 3.14 \times 4 \\ \\ = 28 + 8 \times 3.14 \\ \\ = 28 + 12.56 \\ \\ = 40.56 \: ft\)
Using intervals of width 10, how many intervals are needed for this graph to be drawn correctly? 5 or fewer between 6 and 10 between 11 and 19 25 or more.
The graph takes 299 units width and intervals are of width 10, thus we can do division.
The number of intervals of width 10 needed to draw the given graph is specified by:
Option D: 25 or more.
Given that:The graph extends from 0 to 299 units.To find:Number of intervals with width 10 units needed to draw this graph correctly.
Finding the range(the width graph uses) of values lying in graph:Range = Maximum value - minimum value = 299 - 0 = 299
If the width of intervals used is 10, then
\(\text{Number of intervals needed } \geq \dfrac{Total width}{width of interval} = \dfrac{299}{10} = 29.9\\\text{Number of intervals needed} = 30\)
We took greater or equal since we don't want to leave some points of the graph out, thus we ensure taking enough amount of intervals so as to cover the whole graph even if some space is remain unused in intervals.
Thus, Option D: 25 or more is correct option as 30 is more than 25.
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Answer:
Option D: 25 or more
Step-by-step explanation:
Brooke paints the outsides of the square walls and triangular ceilings of her treehouse. What area does she paint? Enter your answer in the box.
Answer:
216
Step-by-step explanation:
The formula of finding the surface is length * width * height or LxWxH.
Since everything is 6 you just multiply 6*6*6 which gives you 36*6 which gets you 216. You don't need the top 6 just to find the surface she will paint.
Hope this helps!
The measure of an angle is 119°. What is the measure of its supplementary angle?
Answer:
The supplement of 61° is 119°
Step-by-step explanation:
180 - 61 = 119° The supplement of 61° is 119°
The measure of the angle is 61 degrees
How to determine the angleTo determine the measure of the angle, we need to know the following;
Supplementary angle are angles that sum up to 180 degreesComplementary angles are angles that sum up to 90 degreesAlternate angles are equalCorresponding angles are equalAngles on a straight line is equal to 180 degreesFrom the information given, we have that;
The measure of an angle is 119°'
This is represented as;
119 + x = 180
collect the like terms, we get;
x = 180 -119
subtract the values, we have;
x = 61 degrees
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a coin is altered so that the probability that it lands on heads is less than 1/2 and when the coin is flipped four times, the probability of an equal number of heads and tails is 1/6. what is the probability that the coin lands on heads?
The probability that the coin lands on heads (3-√3)/6.
What is meant by the probability?Probability is a branch of mathematics that deals with numerical descriptions of the how likely an incident is to occur or how likely a proposition is to be true.For the given question;
Let x represent the likelihood of flipping heads. As a result, the probability of tossing tails is (1-x).
The probability of tossing two heads and two tails is equivalent to the number of aspects to flip it multiplied by the product of a probabilities of each coin flip.
6x²(1 - x)² = 1/6
On solving,
x²(1 - x)² = 1/36
Taking square root both sides.
x(1 - x) = ±1/6
Because both x and (1-x) seem to be non negative for the preferred probability x, we only need to take into account the positive root.
x(1 - x) = 1/6
Re arranging.
6x² - 6x + 1 = 0
Find the roots of the quadratic equation using the quadratic formula as;
(3±√3)/6
Using the quadratic formula, the roots of the this equation are (3±√3)/6.
Thus, as the probability of heads becomes less than half, the answer is (3-√3)/6.
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I need halp with this-
Z=9
Answer:
81 + 81 + 10 aka 172
Step-by-step explanation:
Answer:
172
Step-by-step explanation:
z = 9
9 to the second power is 81
9 times 9 is 81
plus 10
= 172
hope this helps dude
On a unit circle, the terminal point of beta is square root of 2/2, square root of 2/2. What is beta
The angle β, given the terminal point(sqrt(2)/2, sqrt(2)/2) on a unit circle, is equal to π/4 radians or 45 degrees.
To determine the angle β given the terminal point on a unit circle, we can use the trigonometric functions sine and cosine.
The terminal point of β is (sqrt(2)/2, sqrt(2)/2). Let's denote the angle β as the angle formed between the positive x-axis and the line connecting the origin to the terminal point.
The x-coordinate of the terminal point is cos(β), and the y-coordinate is sin(β). Since the terminal point issqrt(2)/2, sqrt(2)/2). we have:
cos(β) = sqrt(2)/2
cos(β) = sqrt(2)/2
We can recognize that sqrt(2)/2 is the value of the cosine and sine functions at π/4 (45 degrees) on the unit circle. In other words, β is equal to π/4 radians or 45 degrees.
So, β = π/4 or β = 45 degrees.
In summary, the angle β, given the terminal point (sqrt(2)/2, sqrt(2)/2) on a unit circle, is equal to π/4 radians or 45 degrees.
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gabriella went skiing. she paid $35 to rent skis and $15 an hour to ski. if she paid a total of $95, how many hours did she ski?
Gabriella skied for 6 hours, Let x be the number of hours that Gabriella skied. We know that she paid $35 for ski rental and $15 per hour for skiing,
for a total of $95. We can set up the following equation to represent this information:
35 + 15x = 95
Solving for x, we get:
15x = 60
x = 4
Therefore, Gabriella skied for 6 hours.
Here is a more detailed explanation of how to solve the equation:
Subtract $35 from both sides of the equation.
15x = 60
15x - 35 = 60 - 35
15x = 25
Divide both sides of the equation by 15.
15x = 25
x = 25 / 15
x = 4
Therefore, x is equal to 4, which is the number of hours that Gabriella skied.
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Assume the study produces a correlation of .56 between the variables. Analyze three possible causal reasons for the relationship. Each team will design a correlational study, groups will need two variables with at least five sets of data. between these two variables: time spent playing video games and aggression.
Possible causal reasons for the correlation between time spent playing video games and aggression are:
1. Video games cause aggression: This suggests that playing violent video games leads to aggressive behavior. To study this causal hypothesis, one possible approach would be to randomly assign participants to play either a violent or non-violent video game for a certain amount of time and then measure their level of aggression using a standardized aggression scale. This could be repeated with different samples to increase the reliability of the results.
2. Aggressive individuals seek out violent video games: This suggests that individuals who are already predisposed to aggression are more likely to choose to play violent video games. To test this hypothesis, researchers could administer an aggression scale to participants before asking them to report how often they play video games, and what types of games they prefer. The correlation between aggression scores and the amount of time spent playing violent video games would then be calculated.
3. A third variable is responsible for the relationship: This suggests that there is a third variable that causes both increased video game play and aggression. For example, this third variable could be stress levels, which may increase the likelihood of both playing video games and displaying aggressive behavior. To study this hypothesis, researchers could measure stress levels in participants and then ask them to report how often they play video games and their level of aggression. The correlation between stress levels and both video game play and aggression could then be calculated.
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rewrite in the form hint: expand as a taylor polynomial of degree 6 about . using this, what are the coefficients ? what is the error in this case?
The value of ε is thus bounded by the maximum value of \(f^(6)(c)\) in this range.
The given function is \(e^(-2x)\). We can write this in Taylor Polynomial of degree 6 as
\(f(x) = 1 - 2x + 2x^2 - (2^2/2!)x^3 + (2^3/3!)x^4 - (2^4/4!)x^5 + (2^5/5!)x^6 + ε\)
The coefficients of this Taylor Polynomial are 1, -2, 2, -4/2, 8/6, -16/24, 32/120 respectively.
The error in this case is given by ε which is the remainder in the Taylor Polynomial. This is calculated as the value of the n+1th derivative of the function at the point of expansion. We expand the Taylor Polynomial at a=0, so the error ε is given by
\(ε = (2^6/6!)f^(6)(c)\)
for some c between 0 and x. The value of ε is thus bounded by the maximum value of \(f^(6)(c)\) in this range.
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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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Solve for y. 4y2 +9=-12y If there is more than one solution, separate them with commas. If there is no solution, click on "No solution."
The solution to the equation\(4y^2 + 9 = -12y\) is y = -3/2.
We can start by rearranging the terms in the equation to get:
\(4y^2 + 12y + 9 = 0\)
This is now a quadratic equation in standard form, where a = 4, b = 12, and c = 9. We can solve for y using the quadratic formula:
y = \((b^2 - 4ac)) / (2a)\)
Plugging in the values for a, b, and c, we get:
\(y = (-12 + \sqrt{ (12^2 - 4(4)(9))) / (2(4))}\)
\(y = (-12 + \sqrt{(144 - 144)) / 8}\)
y = (-12 ± 0) / 8
y = -3/2
Therefore, the solution to the equation\(4y^2 + 9 = -12y\) is y = -3/2.
There is only one solution to this equation, so we do not need to separate anything with commas.
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Ana works at the library she has 72 books to put on the shelves each shelf can hold 7 books ana estimates that she will need 10 shelves for all the books
Answer:
11 shelves are needed
Step-by-step explanation:
Given that:
Number of books to put on shelf = 72
Number of books per shelf = 7
Number of shelves required for all books :
Total number of books / number of books per shelf
= 72 / 7
= 10. 285
Since, only 7 books can be put on a shelf, then with 10 shelves, there will be 2 books left, hence 1 more shelf will be needed.
11 shelves are needed
Plz only find the shaded area only I would appreciate if you did this on paper and showed all steps
use a venn diagram to illustrate the relationships a ⊂ b and a ⊂ c.
In a Venn diagram, we illustrate the relationships between sets a, b, and c, specifically the relationships a ⊂ b (a is a subset of b) and a ⊂ c (a is a subset of c).
A Venn diagram is a visual representation of sets using overlapping circles. In this case, we have three sets: a, b, and c. To illustrate the relationship a ⊂ b, we draw a circle representing set b and a smaller circle inside it representing set a. This indicates that every element in a is also an element of b, but b may contain additional elements that are not in a. The subset a is completely contained within set b. Similarly, to represent the relationship a ⊂ c, we draw a circle representing set c and a smaller circle inside it representing set a. This indicates that every element in a is also an element of c, but c may contain additional elements that are not in a. The subset a is completely contained within set c. By using the Venn diagram, we visually demonstrate the relationships between sets a, b, and c. The diagram clearly shows that a is a subset of both b and c, indicating that all elements of a are also elements of b and c. However, b and c may have additional elements that are not in a.
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:(PLS HELP MEEEEE :"(
Answer:
The answer is 78
Step-by-step explanation:
My answer is 78 because 5x6=30 then you have to do 6x8=48 then add them up and you get 78
Answer:
78
Step-by-step explanation:
This is because if you remove the dotted line that says 6cm, then turn it upside down and put it on the other side, it will make both the top and bottom 8cm. Then you get 8cm for all of the sides, and that is
8(8) = 64, and then you add 64 + 14 which is 78
HELPPPP!!!! ASAPPPPPPP!!!!
The elimination method is used in place over substitution when one equation is not easily solved for ______________ variable.
a single
an independent
a standard
a dependent
I really hope I get it right but "a single" sounds more right
Answer:
a single
Step-by-step explanation:
when one equation is not easily solved for a single variable
Evaluate
gla) = 4a +3
ha)=a² - 5
Find g(h(0)
Answer:
Step-by-step explanation:
h(0) = 0^2 - 5 = -5
g(-5) = 4(-5) + 3 = -20 + 3 = -17
Phillip Witt, president of Witt Input Devices, wishes to create a portfolio of local suppliers for his new line of key- boards. As the suppliers all reside in a location prone to hurri- canes, tornadoes, flooding, and earthquakes, Phillip believes that the probability in any year of a "super-event" that might shut down all suppliers at the same time for at least 2 weeks is 3%. Such a total shutdown would cost the company approximately $400,000. He estimates the "unique-event" risk for any of the suppliers to be 5%. Assuming that the marginal cost of managing an additional supplier is $15,000 per year, how many suppliers should Witt Input Devices use? Assume that up to three nearly identical local suppliers are available.
To determine the number of suppliers Witt Input Devices should use, we need to consider the probability of a "super-event" and the marginal cost of managing additional suppliers.
With a 3% probability of a total shutdown and an estimated cost of $400,000, along with a 5% "unique-event" risk per supplier, the company should aim to balance the costs and risks to make an informed decision on the number of suppliers.
Phillip Witt wants to create a portfolio of local suppliers for his keyboards. He faces the risk of "super-events" that could shut down all suppliers simultaneously for at least two weeks. The probability of such an event occurring is 3% per year, which would result in an estimated cost of $400,000 for the company.
Additionally, each individual supplier carries a "unique-event" risk of 5%. To mitigate the risks, Witt Input Devices needs to determine the optimal number of suppliers to use. However, it is stated that up to three nearly identical local suppliers are available.
To make a decision, the company needs to balance the costs and risks. Each additional supplier incurs a marginal cost of $15,000 per year. The company should evaluate the trade-off between the cost of managing additional suppliers and the risk reduction achieved by having multiple suppliers.
Considering these factors, Witt Input Devices should analyze the costs and benefits of each additional supplier and select the number of suppliers that provides an optimal balance between risk mitigation and cost management.
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Let point P be the weighted average of points A(7,3) and B(-3,-10), where point A weights three times as much as point B. What are the coordinates of point P?
A (-2,-27/4)
B (2,-7/2)
C (9/2, -1/4)
D (6,-1/3)
According to the question,
If B weighs x, then A would be 3x. So, P would be 2x, i.e., P divides A & B in 1:3 internally.
Coordinates of A (7, 3)
Coordinates of B (-3, -10)
Let coordinates of P be (x, y)
P(x) = 7 × (1) + (-3 × 3) / 3+1 = -2/4 = -2
P(y) = (3 × 1) + (-10 × 3) / 3+1 = -27/4
P(x, y) = (-2, -27/4)
Therefore, the correct answer is option A.
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alexis divided a 1 3/4 pound bag of apples among 3 friends. how many pounds of apples did each friend receive?
A: 7/12
B: 3/4
C: 2/3
D: 5/6
SHOW YOUR WORK
A sample of adults was asked to choose their favorite sport to watch from a list of four sports. Age Range 18-30 31-50 51 Total Sport Football 15 19 17 51 Baseball 7 12 18 37 Basketball 15 8 11 34 Soccer 12 9 6 27 Total 49 48 52 149 What proportion of those surveyed chose basketball as their favorite sport? StartFraction 34 Over 149 EndFraction StartFraction 15 Over 49 EndFraction StartFraction 18 Over 52 EndFraction StartFraction 37 Over 149 EndFraction
The proportion of those surveyed who chose basketball as their favorite sport is 34.149 (option a)
Let's denote the proportion of adults who chose basketball as their favorite sport as P(Basketball). To calculate P(Basketball), we need to divide the total number of adults who chose basketball by the total number of surveyed adults. Mathematically, it can be represented as:
P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)
To calculate the number of adults who chose basketball, we sum up the values from the age range categories:
Number of adults who chose basketball = Number of adults (18-30) who chose basketball + Number of adults (31-50) who chose basketball + Number of adults (51 and above) who chose basketball
Looking at the table, we find that the number of adults (18-30) who chose basketball is 15, the number of adults (31-50) who chose basketball is 8, and the number of adults (51 and above) who chose basketball is 11. Adding these values together, we get:
Number of adults who chose basketball = 15 + 8 + 11 = 34
Now, let's calculate the total number of surveyed adults. We can sum up the values from the age range categories:
Total number of surveyed adults = Total number of adults (18-30) + Total number of adults (31-50) + Total number of adults (51 and above)
From the table, we find that the total number of adults (18-30) is 49, the total number of adults (31-50) is 48, and the total number of adults (51 and above) is 52. Adding these values together, we get:
Total number of surveyed adults = 49 + 48 + 52 = 149
Now, we have the values we need to calculate the proportion:
P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)
= 34 / 149
Hence the correct option is (a).
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Two sisters share an inheritance of $1 million by a ratio of 2:3. How much does each sister inherit
Answer:
$400,000 and $600,000
Step-by-step explanation:
2x = one sister amount
3x = the other sister amount
Total money = $1,000,000
5x = 1,000,000
x = 1,000,000/5
x = 200,000
2x = 2(200,000) = $400,000
3x = 3(200,000) = $600,000
Check: one sister amount + the other sister amount = $1, 000,000
$400,000 + $600,000 = $1,000,000
ratio 2:3=2+3=5
so the first sisters share is
(2/5×1,000,000)
=200,000×2
=400,000.....thats the first sisters share
so....the second sister's share is
(3/5×1,000,000)
=3×200,000
=600,000.....thats the second sisters share
and to check if your answer is correct
you can add both of their shares
600,000+400,000=1,000,000.
solve the system using elimination. 4x+5y=2 -2x+2y=8 ( ? , ? )
Answer:
(-2,2)
Step-by-step explanation:
Hi,
4x + 5y = 2
-2x + 2y = 8
To solve using elimination, we can multiply the second equation by 2 to try and get rid of the x. So...
4x + 5y = 2
-4x + 4y = 16
Now, add...
9y = 18
Divide by 9...
y = 2
Now, let's solve for x...
4x + 5(2) = 2
4x + 10 = 2
4x = -8
x = -2
Your solution is, (-2,2)
I hope this helps :)
The average of a distribution is equal to the summation of x divided by the number of observations.
The average of a distribution, also known as the mean, is calculated by dividing the sum of all the observations by the total number of observations.
To understand why this calculation yields the average, consider the following:
Summation of x: The sum of all the observations, denoted as Σx (capital sigma x), represents the total value obtained by adding up all the individual values in the distribution. For example, if we have a set of observations {2, 4, 6, 8}, the summation of x would be 2 + 4 + 6 + 8 = 20.
Number of observations: The total number of observations, denoted as N, represents the count of how many values are included in the distribution. Using the previous example, if we have the set of observations {2, 4, 6, 8}, the number of observations N would be 4.
Division: By dividing the sum of all the observations (Σx) by the total number of observations (N), we calculate the average. In mathematical notation, the average (mean) is expressed as:
Mean (average) = Σx / N
Using our previous example, the average (mean) would be: 20 / 4 = 5.
The division operation by the total number of observations normalizes the sum of the values, resulting in an average value that represents the central tendency of the distribution. It gives us a measure of the "typical" or "average" value within the set of observations.
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R 100 000 is deposited into an account now that pays interest at a rate of 8% p.a. so that an amount of money can be withdrawn from the account every six months in perpetuity starting one
year from now. If it is decided to increase the value of the withdrawals, from the second withdrawal onwards, at a rate of 6% p.a., then the value of the first withdrawal (rounded to the nearest
cent) made one year from now is equal to:
The value of the first withdrawal made one year from now is $47,939.09.
We have,
Let's start by calculating the amount of each withdrawal.
We can use the formula for the present value of an annuity:
PV = A (1 - (1+r)^(-n))/r
where PV is the present value of the annuity, A is the amount of each withdrawal, r is the interest rate per period, and n is the total number of periods.
In this case, we have two different interest rates:
8% for the first year and 6% for subsequent years.
So we need to calculate the present value of the annuity separately for each period.
For the first year,
There will be two withdrawals of A each, six months apart.
So n = 2 and r = 0.08/2 = 0.04.
Using the formula above, we get:
100000 = A (1 - (1+0.04)^(-2))/0.04
Solving for A, we get:
A = 47939.09
So each withdrawal for the first year will be $47,939.09.
In subsequent years,
The withdrawals will increase by 6% per year.
So the second year's withdrawal will be:
A2 = A (1+0.06)
= 47939.09 x (1+0.06)
= 50824.54
And the third year's withdrawal will be:
A3 = A2 (1+0.06)
= 50824.54*(1+0.06)
= 53920.15
And so on, with each subsequent year's withdrawal increasing by 6% over the previous year.
Thus,
The value of the first withdrawal made one year from now is $47,939.09.
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Your middle school has 900 students. 1/3 of students bring their lunch instead of buying lunch at school. What is the value of the ratio of the number of students who do bring their lunch to the number of students who do not?
Hey there!
The ratio is 2:1
If 1/3 of the students bring their lunch, that means 300 students do. That also means that the rest eat lunch at school, meaning 600 students do.
The ratio would be 600:300. If you simplify the ratio, it is 2:1. That means for every 2 students who buy lunch, 1 student brings lunch. Or, for every 3 students, 2 buy and 1 brings.
Good luck! Hope it helped!
A reaction with a calculated yield of 9.23 g produced 7.89 g of product. What is thepercent yield for this reaction?
The required percentage yield for the reaction when theoretical yield and actual yield are given is calculated to be 85.5 %.
The maximum mass that can be generated when a particular reaction occurs is referred to as theoretical yield.
Theoretical yield is given as mt = 9.23 g
The actual amount of product recovered is given as ma = 7.89 g
We must comprehend that in order to calculate the reaction's percent yield, we must divide the total amount of product recovered by the utmost amount that can be recovered. If we multiply by 100%, we can represent this fraction as a percentage.
Percentage yield = ma/mt × 100 = 7.89/9.23 × 100 = 85.5 %
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∠A and
∠
�
∠B are vertical angles. If m
∠
�
=
(
2
�
−
26
)
∘
∠A=(2x−26)
∘
and m
∠
�
=
(
�
+
25
)
∘
∠B=(x+25)
∘
, then find the value of x
The value of x is 51. Vertical angles are the pair of non-adjacent angles formed by two intersecting lines. These angles are congruent, i.e., they have equal measures.
Given that ∠A and ∠B are vertical angles. Therefore, we have:
m∠A = m∠B
We are also given that:
m∠� = (2x − 26)°
m∠� = (x + 25)°
Equating both expressions for m∠�, we get:
(2x − 26)° = (x + 25)°
Simplifying and solving for x, we get:
2x − 26 = x + 25
x = 51
Therefore, the value of x is 51.
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I WILL GIVE YOU BRAINLIEST PLS HURRY: New homeowners hire a painter to paint rooms in their house. The painter pays $100 for supplies and charges the homeowners $25 for each room they want painted.
Which of the following graphs shows the relationship between the amount of money the painter earns, in dollars, and the number of rooms he paints?
Answer: Answer B, shows a line going from point (0, 60) to point (3, 120).
Step-by-step explanation: i hope this helps you
Answer:
Answer B, shows a line going from point (0, 60) to point (3, 120).
Step-by-step explanation:
NEED HELP ASAP, WILL GIVE BRAINLIEST
What is the polar form of (x + 3)2 + y2 = 9?
r = −6 cos(θ)
r = −3 cos(θ)
r = 3 cos(θ)
r = 6 cos(θ)
Given:
The equation of circle is
\((x+3)^2+y^2=9\)
To find:
The polar form of given circle.
Solution:
We have,
\((x+3)^2+y^2=9\)
\(x^2+2(x)(3)+(3)^2+y^2=9\) \([\because (a+b)^2=a^2+2ab+b^2]\)
\((x^2+y^2)+6x+9=9\)
Subtracting 9 from both sides, we get
\((x^2+y^2)+6x=0\)
We know that, \(x^2+y^2=r^2\) and \(x=r\cos \theta\).
\(r^2+6(r\cos \theta)=0\)
\(r(r+6\cos \theta)=0\)
\(r=0\) and \(r+6\cos \theta=0\)
We know that, r is radius it cannot be 0. So,
\(r+6\cos \theta=0\)
\(r=-6\cos \theta\)
Therefore, the correct option is A.