Step-by-step explanation:
two angles are adjacent when they a common side vertex(corner point) and don't overlap.adjacent angles.angle ABC.
Levi needed to get his computer fixed. He took it to the repair store. The technician at
the store worked on the computer for 5.5 hours and charged him $59 for parts. The
total was $361.50. Which equation could be used to determine c, the cost of labor per
hour?
Answer:
$55
Step-by-step explanation:
Let c = cost of labour per hour
1) Set up an equation, where hours is denoted by c.
5.5c + 59 = 361.50
5.5c = 361.50 - 59
5.5c = 302.50
c = 302.50/5.5
c = 55
Therefore, the technician took $55 per hour.
Find the circumcenter of the triangle
The circumcenter of the triangle is (-3, -4), units.
What is the circumcenter of a triangle?
The circumcenter is the intersection point of the perpendicular bisectors of sides of a triangle. It is the Centre of a triangle's circumcircle.
For a right-angled triangle, the circumcenter lies on the hypotenuse.
The middle of the horizontal length of the triangle = - 3
The middle of the vertical length of the triangle = - 4
The circumcenter of the triangle is located at (x, y ) = ( -3, -4 )
Thus, the circumcenter of the triangle is determined from the interception point of the horizontal length and vertical length.
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Recommendations for safely thawing frozen turkey are provided on the packaging.
a. What is the thaw rate of the turkey for refrigerator thawing?
For cold water thawing?
b. What could the initial value represent?
c. Write a linear function in the form y = mx + b to model the time t, in hours, it takes to thaw turkey in the refrigerator as a function of the weight w, in pounds, of the turkey.
a. The thaw rate of the turkey for refrigerator thawing is day(s) per pound.
(simplify your answer.)
(1) it takes about 10 hours to thaw a 20-pound turkey in cold water.(2) it takes an additional 0.25 hours (or 15 minutes) to thaw in the refrigerator.
What is a linear function and examples?A linear function is a function that represents a straight line in the coordinate plane. For example, y = 3x - 2 represents a straight line in the coordinate plane and thus a linear function. Since y can be replaced by the function f(x), this function can be written as f(x) = 3x - 2.
a. A typical thawing rate when thawing in the refrigerator is about 1 day per 4-5 kilograms of turkey meat. So if you have a 20 pound turkey, it will take about 4-5 days to thaw in the fridge. In cold water, the thawing rate is about 30 minutes per pound, so it takes about 10 hours to thaw a 20-pound turkey in cold water.
b) The initial value may represent the weight of the frozen turkey before thawing begins. c. Let y be the time it takes to thaw the turkey in hours and let x be the weight of the turkey in pounds. Assuming a linear relationship between melting time and weight, we can write:
y = mx + b
where m is the thaw rate (in hours per pound) and b is the intercept (the time it takes to thaw a 0-pound turkey, which is 0). From part a, we know that the refrigerator thaw rate is about 1 day per 4-5 pounds of turkey, or about 0.25-0.2 hours per pound. So we can use m = 0.25 in our linear function:
y = 0.25x + 0
This means that for every additional pound of turkey, it takes an additional 0.25 hours (or 15 minutes) to thaw in the refrigerator.
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what is 2 wholes 3/5 x 3 wholes x 1/3
Answer:
2 3/5 x 3 1/3 = 26/3 = 8 2/3
What is the 12th term of the linear sequence below?
7,9,11,13,15
Answer:
The 12th term would be 29
Step-by-step explanation:
First find the Algebraic expression:-
Xn = dn + b
'd' means common difference, which is 2 in this sequence.
'b' means 'first term- d'
So, b = 7 - 2
b = 5
Xn = 2n + 5
Now, to find the 12th term, substitute 12 in the place of 'n':-
2 x 12 + 5
29 is the 12th term!
The ratio of the numbers of gold to silver to bronze is 2:3:2. What is definitely true about the medals Italy got
(A) Italy got a total of 7 medals
(B) 2/7 of the medals are bronze
(C) 40% of the total medals are gold
(D) more than half of the medals are silver
Answer:
pls help me as well
Step-by-step explanation:
btw which school do u study in?
the only statement that is definitely true based on the given ratio is (B) 2/7 of the medals are bronze.
Based on the given ratio of gold to silver to bronze medals being 2:3:2, we can deduce the following:
(A) Italy got a total of 7 medals: This statement cannot be determined based solely on the given ratio. The total number of medals received by Italy is not explicitly provided.
(B) 2/7 of the medals are bronze: This statement is true. Since the ratio of bronze medals to the total medals is 2/(2+3+2) = 2/7, it means that 2/7 of the medals are bronze.
(C) 40% of the total medals are gold: This statement is false. The ratio given does not indicate that 40% of the medals are gold. Without knowing the total number of medals, we cannot determine the percentage.
(D) More than half of the medals are silver: This statement is false. The given ratio indicates that the number of silver medals is less than the combined number of gold and bronze medals, which means that less than half of the medals are silver.
In summary, the only statement that is definitely true based on the given ratio is (B) 2/7 of the medals are bronze.
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Write an algebraic expression yo find the number of seconds in n minutes
Answer:
60n seconds
Step-by-step explanation:
In 1 min, there are 60 seconds
So,
1 min = 60 secs
For n minutes, it becomes:
=> 60n seconds
Hey! Please help me with this fast! Choose all that are correct!!
Answer:
4.6257
4.6285
4.632
Step-by-step explanation:
Please Help!
{64,60,57,63,61,64,50,62,60,56,53,62,54,60,64,53,61,58,60,64,57,56,64,61,63}
According to Chebyshev's theorem, at least 88.9% of the data falls between approximately 47.62 and Blank
. (Round to the nearest hundredth.)
Answer: 100
Step-by-step explanation:
Because 88.9% of the data falls between approximately 47.62 and Blank.
in your taining routine each week you bike five times as far as you run and you run four times as far as you swim. you train a total of 200 miles each week. how far do you bike? how far do you run? how far do you swim?
Train a total of 200 miles each week. 160 miles I bike, 32 miles I run, 8 miles I swim.
What do you mean by Simultaneous linear equations?
A system of simultaneous linear equations is any pair of linear equations or more that have the same unknown variables in common. To solve such a system, one must identify values for the unknown variables that simultaneously satisfy each of the equations. A system of simultaneous linear equations is any pair or group of linear equations where each equation has the same unknown variables. Finding values for the unknown variables that simultaneously satisfy each equation in such a system is the first step in its solution.
according to the question,
you bike five times as far as I run and you run four times as far as iswim. you train a total of 200 miles each week.
let, I swim x miles then I run 4x times and I bike 20x miles.
so, 4x+x+20x=200
by solving linear equations,
we get, x=8
hence,160 miles I bike.
32 miles I run.
8 miles I swim.
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Consider the following function.
Place the steps for finding f(x) in the correct order.
Answer:
\(\frac{x-7}{4} =f^{-1}( x)\)
Step-by-step explanation:
→ Replace f(x) with y
y = 4x + 7
→ Minus 7 from both sides
y - 7 = 4x
→ Divide both sides by 4
\(\frac{y-7}{4} =x\)
→ Replace y's with f⁻¹(x)
\(\frac{x-7}{4} =f^{-1}( x)\)
A new cars salesperson, sold an average of $59,699 per day for the first 4 days she worked. The next 11 days she worked, she sold an average of $49,221. How much did she sell on average per day over the entire time she worked??
Answer:
5,000
Step-by-step explanation:
Solve using a weighted average like so:
{ (6 days)($34,000) + (4 days)($45,000) }/(6 days + 4 days) = $38,400
It doesn't appear as if the correct answer is listed in the choices? You can tell from the information given that the answer must be between $34,000 & $45,000!
A small van holds 8 students and a large van holds 12 students. There are a total of 48 students who plan to go on the field trip.
3/9 * 6/4 - 1/12 + 13/6 + 2/7
Answer:
241/84
Step-by-step explanation:
whats the capitol of Florida miaaaaaaa
Answer:
Tallahassee
Step-by-step explanation:
If 4u-5v=23 and 2u+4v=-8, find the value of u+v
Answer:
-1
Step-by-step explanation:
4u-5v=23
-2(2u+4v=16) We multiply by -2 here to destroy u's.
4u-5v=23
-4u-8v=16 we addition both processes
-13v=39 so, v=-3
4u-5(-3)=23, 4u=8 so, u=2
u+v= -3+2= -1
add parentheses to the expression 3x6+4x2 to make the values 42.
Find the length of the missing side in simplest radical form.
Answer:
x = √65orx = 8.06
Step-by-step explanation:
it is a right triangle, let's use Pythagoras
x² = 8² + 1²
x² = 64 + 1
x² = 65
x = √65
or
x = 8.06
[amc10a.2006.13] a player pays to play a game. a die is rolled. if the number on the die is odd, the game is lost. if the number on the die is even, the die is rolled again. in this case the player wins if the second number matches the first and loses otherwise. how much should the player win if the game is fair? (in a fair game the probability of winning times the amount won is what the player should pay.)
To determine the amount the player should win in a fair game, we need to calculate the probability of winning and then find the appropriate amount to be won.
First, let's consider the possible outcomes:
1. The game is lost if the first roll results in an odd number (3 possibilities: 1, 3, 5).
2. The game is won if the first roll results in an even number, and the second roll matches the first (3 possibilities: 2, 4, 6).
The probability of winning can be calculated as the probability of the second roll matching the first, which is 1/6 since there are six equally likely outcomes for each roll.
To make the game fair, the expected value of the winnings should be zero. In this case, the player loses the amount paid to play the game if they lose, and they win an unknown amount if they win. Since the probability of winning is 1/6, the amount won should be 6 times the amount paid to play the game.
Therefore, in a fair game, the player should win 6 times the amount paid to play.
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Fit a linear function of the form f(t) = c0 +c1t to the data points
(0,3), (1,3), (1,6), using least squares.
To fit a linear function of the form f(t) = c0 +c1t to the given data points using least squares, we need to minimize the sum of squared errors between the predicted values of the function and the actual data points.
First, we need to calculate the slope (c1) and y-intercept (c0) of the linear function. We can do this using the following formulas:
c1 = (nΣxy - ΣxΣy) / (nΣx^2 - (Σx)^2)
c0 = (Σy - c1Σx) / n
where n is the number of data points, Σxy is the sum of the products of each x and y value, Σx and Σy are the sums of the x and y values, and Σx^2 is the sum of the squared x values.
Plugging in the values from the given data points, we get:
n = 3
Σxy = 15
Σx = 2
Σy = 12
Σx^2 = 3
c1 = (3*15 - 2*12) / (3*3 - 2^2) = 6/5
c0 = (12 - (6/5)*2) / 3 = 13/15
Therefore, the linear function that fits the given data points using least squares is:
f(t) = 13/15 + (6/5)t
To verify this, we can calculate the predicted values of the function for each data point and compare them to the actual values.
f(0) = 13/15 + (6/5)*0 = 13/15 ≈ 0.87
f(1) = 13/15 + (6/5)*1 = 19/15 ≈ 1.27
f(1) = 13/15 + (6/5)*1 = 19/15 ≈ 1.27
f(6) = 13/15 + (6/5)*6 = 49/5 ≈ 9.8
Comparing these values to the actual data points, we can see that the linear function provides a reasonable fit.
In summary, to fit a linear function of the form f(t) = c0 +c1t to given data points using least squares, we need to calculate the slope and y-intercept of the function using the formulas above. Then, we can verify the fit by comparing the predicted values to the actual data points. This linear function can then be used to make predictions for other values of t within the given range.
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Your weekly base salary is $150. You earn $20 for each cell phone that
you sell.
a. What is the minimum amount you can earn in a week?
b. Write and solve an inequality that represents the number of cell phones
you must sell to make at least $630 a week.
c. Write and solve an inequality that represents the number of cell phones
you must sell to make at least $750 a week.
d. The company policy is that as a part-time employee, the maximum
you can earn each week is $950. Write and solve an inequality that
represents the number of cell phones you can sell each week.
The minimum that could be earned is $150. The required inequalities are solved below:
What is an inequality?
An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line. There are multiple notations used to denote various types of inequalities: The symbol a b indicates that an is smaller than b. The symbol a > b indicates that an is more than b. In either scenario, a and b are not equal. These are characterized as stringent inequalities because an is either strictly less than or strictly bigger than b. Equivalence is not allowed.
(a) The minimum that could be earned is $150.
(b) The required inequality is given as 150+20x≥630
or, 20x≥630-150
or, x≥480/20
or, x≥24
(c) The required inequality is given as 150+20x≥750
or, 20x≥750-150
or, x≥600/20
or, x≥30
(d) The required inequality is given as 150+20x≤950
or, 20x≤950-150
or, x≤800/20
or, x≤40
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what function has a restricted domain
The function that has a restricted domain is \(k(x) = (-x+3)^1^/^2\)
The expression \((-x+3)^1^/^2\) involves taking the square root of (-x+3).
Since the square root is only defined for non-negative values, the domain of this function is restricted to values of x that make (-x+3) non-negative.
In other words, x must satisfy the inequality -x+3 ≥ 0.
Solving this inequality, we have:
-x + 3 ≥ 0
x ≤ 3
Therefore, the domain of k(x) is x ≤ 3, which means the function has a restricted domain.
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A student studying a foreign language has 50 verbs to memorize. The rate at which the student can memorize these verbs is proportional to the number of verbs remaining to be memorized, 50 – y, where the student has memorized y verbs. Assume that initially no verbs have been memorized and suppose that 20 verbs are memorized in the first 30 minutes.
(a) How many verbs will the student memorize in two hours?
(b) After how many hours will the student have only one verb left to memorize?
The number of verbs memorized after two hours (t = 120) is:y = 50 - 15(30/2)^(-1/30)(120)= 45.92. Therefore, the student will memorize about 45 verbs in two hours.
(a) A student studying a foreign language has 50 verbs to memorize. Suppose the rate at which the student can memorize these verbs is proportional to the number of verbs remaining to be memorized, 50 – y, where the student has memorized y verbs. Initially, no verbs have been memorized.
Suppose 20 verbs are memorized in the first 30 minutes.
For part a) we have to find how many verbs will the student memorize in two hours.
It can be seen that y (the number of verbs memorized) and t (the time elapsed) satisfy the differential equation:
dy/dt
= k(50 – y)where k is a constant of proportionality.
Since the time taken to memorize all the verbs is limited to two hours, we set t = 120 in minutes.
At t
= 30, y = 20 (verbs).
Then, 120 – 30
= 90 (minutes) and 50 – 20
= 30 (verbs).
We use separation of variables to solve the equation and integrate both sides:(1/(50 - y))dy
= k dt
Integrating both sides, we get;ln|50 - y|
= kt + C
Using the initial condition, t = 30 and y = 20, we get:
C = ln(50 - 20) - 30k
Solving for k, we get:
k = (1/30)ln(30/2)Using k, we integrate to find y as a function of t:
ln|50 - y|
= (1/30)ln(30/2)t + ln(15)50 - y
= e^(ln(15))e^((1/30)ln(30/2))t50 - y
= 15(30/2)^(-1/30)t
Therefore,
y = 50 - 15(30/2)^(-1/30)t
Hence, the number of verbs memorized after two hours (t = 120) is:y = 50 - 15(30/2)^(-1/30)(120)
= 45.92
Therefore, the student will memorize about 45 verbs in two hours.
(b) Now, we are supposed to determine after how many hours will the student have only one verb left to memorize.
For this part, we want y
= 1, so we solve the differential equation:
dy/dt
= k(50 – y)with y(0)
= 0 and y(t)
= 1
when t = T.
This gives: k
= (1/50)ln(50/49), so that dy/dt
= (1/50)ln(50/49)(50 – y)
Separating variables and integrating both sides, we get:
ln|50 – y|
= (1/50)ln(50/49)t + C
Using the initial condition
y(0) = 0, we get:
C = ln 50ln|50 – y|
= (1/50)ln(50/49)t + ln 50
Taking the exponential of both sides, we get:50 – y
= 50(49/50)^(t/50)y
= 50[1 – (49/50)^(t/50)]
When y = 1, we get:
1 = 50[1 – (49/50)^(t/50)](49/50)^(t/50)
= 49/50^(T/50)
Taking natural logarithms of both sides, we get:
t/50 = ln(49/50^(T/50))ln(49/50)T/50 '
= ln[ln(49/50)/ln(49/50^(T/50))]T
≈ 272.42
Thus, the student will have only one verb left to memorize after about 272.42 minutes, or 4 hours and 32.42 minutes (approximately).
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you have a score of x = 65 on an exam. which set of parameters would give you the best grade on the exam?
If the class has a mean (μ) of 60 and a standard deviation (σ) of 10, and your score is 65, then you would be above the mean but still within one standard deviation. In this case, the set of parameters μ = 60 and σ = 10 would likely give you a relatively good grade.
To determine which set of parameters would give you the best grade on the exam, we need to understand the grading scheme and how your score is compared to the rest of the class. Specifically, we need to know the mean (μ) and standard deviation (σ) of the exam scores for the entire class.
If the grading scheme involves a curve, where your score is compared to the mean and standard deviation of the class, then the set of parameters that would give you the best grade would depend on the distribution of scores in the class.
If the class has a mean (μ) of 60 and a standard deviation (σ) of 10, and your score is 65, then you would be above the mean but still within one standard deviation. In this case, the set of parameters μ = 60 and σ = 10 would likely give you a relatively good grade.
However, if the class has a different mean and standard deviation, or if the grading scheme does not involve a curve, then a different set of parameters might give you the best grade.
Without more specific information about the grading scheme and the distribution of scores in the class, it is difficult to determine the exact set of parameters that would result in the best grade for you.
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The sum of two numbers is 140. The difference between the numbers is 32. Which system of equations can be used to find the larger number, x, and the smaller number, y.
Group of answer choices
x + y = 140
y – x = 32
y – x = 140
x + y = 32
x + y = 140
x – y = 32
x – y = 140
x + y = 32
Answer:
third option
Step-by-step explanation:
the sum of x and y is 140 , that is
x + y = 140
the difference between x and y is 32 ( y is smaller ) , then
x - y = 32
the system to solve for x and y is
x + y = 140
x - y = 32
Answer:
3rd one trust me
12 ejrid the rude
Determine the function's value when x = -1.
O g(-1) = -3
Og(-1) = 0
O g(-1) = 1
Og(-1) = 27
Answer:opition C
g(-1)=1
Step-by-step explanation:
In a cross-country bicycle race, the amount of time that elapsed before a
rider had to stop to make a bicycle repair on the first day of the race had a
mean of 4.25 hours after the race start and a mean absolute deviation of
0.5 hour. on the second day of the race, the mean had shifted to 3.5 hours
after starting the race, with a mean absolute deviation of 0.75 hour.
the question- interpret the change in the mean and the mean absolute deviation from the first to the second day of the race
The mean time for bicycle repairs on the first day of the race was 4.25 hours, while on the second day it decreased to 3.5 hours.
Additionally, the mean absolute deviation increased from 0.5 hour on the first day to 0.75 hour on the second day.
The change in the mean time for bicycle repairs from the first to the second day of the race indicates a decrease in the average repair time. This suggests that the riders were able to make repairs more efficiently or encountered fewer mechanical issues on the second day compared to the first day.
The decrease in mean repair time could be attributed to various factors, such as better maintenance of bicycles, improved repair skills of the riders, or reduced incidence of mechanical failures.
The increase in the mean absolute deviation from 0.5 hour on the first day to 0.75 hour on the second day implies greater variability in the repair times. This means that on the second day, the repair times were more spread out from the mean compared to the first day. The increased mean absolute deviation could be due to a wider range of repair times experienced by different riders or more unpredictable repair situations encountered on the second day.
In summary, the change in the mean time for bicycle repairs indicates a decrease from the first to the second day of the race, suggesting improved efficiency or reduced mechanical issues. However, the increase in the mean absolute deviation implies greater variability in repair times on the second day, indicating a wider range of repair experiences or more unpredictable repair situations.
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Richard bought 3 peaches and 1 orange and spent $3.50. Peaches are $0.85 each. If there is no sales tax on fruit, how much did the orange cost?
A.$0.66
B.$0.88
C.$0.95
D.$2.65
Answer: The answer is c :
$0.95
Step-by-step explanation:
How do Paula and Luis escape? Explain in detail.
Ready? Enter your answer here.
Answer:
they jumped
Step-by-step explanation:
They jump because they want to escape Mario and Javier. Paula is very nervous because there are many people, it is not possible to escape quickly
I hope I’m right if not I’m sorry
someone please help me!!!!!!!
Step-by-step explanation:
In the second step while opening the bracket, instead of 'a', there should be - 4a.
Answer:
From Step 2 every step is wrong
Step-by-step explanation:
Ste p 1 : 3a - 5b = 12 - 4(b + a)
Step 2 : 3a - 5b = 12 - 4b - 4a [ Last term instead - 4a she\he wrote + a ]
Step 3 : 7a - 5b = 12 - 4b
Step 4 : 7a = 12 + b
\(Step 5 : a = \frac{12 + b}{7}\)