Answer: See explanation
Step-by-step explanation:
Since we are informed that the temperature on Mars may reach a high of 70 degrees Fahrenheit at the equator in the summer and may also reach a low of -225 degrees Fahrenheit at the poles.
The expression that gives the difference between those temperatures would then be calculated as:
= 70°F - (-225°F)
= 70°F + 225°F
= 295°F
What is the value of x y and z
Answer:
x = 65 y =65 z = 65
Step-by-step explanation:
∠x = ∠y because they are subtended by the same arc
only options that have x and y = each other is 1 and 3
it's definitely not 1 because 50, 50 and 50 make 150 and triangles = 180
so it's 3
50 + 65 + 65 = 180
⦁ Mr. Sanchez’s class sold fruit pies for $6 each and Mr. Kelly’s class sold bottles of fruit juice for $2 each. Together, the classes sold 22 items and earned $104.00 for their school.
The number of fruit pies is 15 and the number of bottles of fruit juice is 7
How to solve equation word problems?We are given;
Cost of each fruit pie = $6
Cost of each bottle of fruit juice = $2
Total amount earned = $104
Let x represent the number of fruit pies that Mr. Sanchez's class sold
Let 22 - x be the bottles of fruit juice that Mr. Kelly's class sold
Thus, we have the equation;
6x + 2(22 - x) = 104
Expanding the bracket gives;
6x + 44 - 2x = 104
4x = 104 - 44
4x = 60
x = 60/4
x = 15
Thus, the number of fruit pies = 15
Number of bottles of fruit juice = 22 - 15 = 7
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Complete question is;
Mr. Sanchez’s class sold fruit pies for $0.6 each and Mr. Kelly’s class sold bottles of fruit juice for $0.2 each. Together, the classes sold 22 items and earned $104.00 for their school.
Write and solve a system of equations that model the problem. Show all your work
A grocer selects five apples randomly from a box, weighs them and calculates an average weight of 165 grams. Match the feature of this process to the correct term.experiment -> selecting and weighing the apples (the experiment is the activity undertaken)outcome -> 165 grams average weight (a specific result of the experiment)event -> an average weight between 150 and 165 grams (an event is combination of one or more outcomes)random variable -> the average weight of five apples (a numerical rep of an outcome)
The grocer's selection and weighing of the apples is the experiment, while the specific result of the experiment - an average weight of 165 grams - is the outcome.
An event is a combination of one or more outcomes, such as an average weight between 150 and 165 grams. Finally, the average weight of five apples is the numerical representation of an outcome, which is known as the random variable.
Hi! I'd be happy to help explain these terms in the context of your question:
1. Experiment: Selecting and weighing the apples. This is the activity undertaken to gather data.
2. Outcome: The 165 grams average weight. This is a specific result of the experiment.
3. Event: An average weight between 150 and 165 grams. An event is a combination of one or more outcomes.
4. Random variable: The average weight of five apples. This is a numerical representation of an outcome.
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Mathias was asked whether the following equation is an identity: 2x^2+10x+6=(x+3)(2x+1)+3(x+1)
Is mathias correct? If not, in which step did he make a mistake ?
A, mathias is correct
B,mathias is incorrect he made a mistake in step 1
C, mathias is incorrect he made a mistake in step 3
D, mathias is incorrect he made a mistake in step 4
The equation is an identity. Mathias is correct.
What is equation?
Equations are mathematical statement that shows that two expressions are equal. Equality sign is compulsory for an equation.
as example, 2x + 5Y =12 is an equation that has two variables.
An identity is an equation that is considered as true in all the cases whether any value is substituted or not.
Which statement is correct?given, 2x² + 10x +6 = (x+3) (2x+1) + 3(x+1)
From the right-hand side, (x+3) (2x+1) +3 (x+1)
we expand, {x × 2x + x×1 + 3×2x + 3×1 + 3 ×x + 3×1}
2x² + x +6x+ 3 +3x +3
we collect the same term, 2x²+ x+ 6x+3x + 3+3
we add the same term, 2x² +10x +6
= left hand side
So, the given equation is an identity.
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5x^2-15x-50 factor the polynomial
Answer:
5(x - 5)(x + 2)
Step-by-step explanation:
5x² - 15x - 50
5(x² - 3x - 10)
5(x - 5)(x + 2)
The movie theater near you offers a membership for people who go to the movies often. Those who join the movie club (the red line below) pay $45 per year to join, but pay less per movie after that. Those who don't join the club (the black line) pay more for each movie they watch. Look at the graph below and select EACH true statement.
If I plan to go to the movies once a week (there are 52 weeks in a year), I should join the club to save money.
If I watch 5 movies per year, I will save money if I do NOT join the movie club.
A person who joins the movie club will start saving money as soon as they see their first movie.
A non-member will pay $60 to watch 20 movies.
If a member and a non-member both watch 30 movies in a year, they will pay the same amount.
If a member watches 50 movies, it will end up costing an average of exactly $3 per movie.
If you propose to go to the films as soon as every week, you ought to be part of the club to store cash. If you watch five films according to year, you'll save money if you do NOT be a part of the film membership.
An individual who joins the film club will start saving money as quickly as they see their first movie. A non-member can pay $60 to observe 20 films
If a member and a non-member both watch 30 films in a yr, they'll pay the identical amount. If a member watches 50 movies, it'll come to be costing a mean of precisely $3 in step with film.
Based on the statistics furnished, permit's compared each declaration:
If you propose to go to the films as soon as every week, you ought to be part of the club to store cash:
True. According to the graph, the pink line (club) is consistently beneath the black line (non-membership) after the preliminary club price. Joining the membership might bring about paying less in keeping with film and save you cash in the end, in particular, if you often visit the movies.
If you watch five films according to year, you'll save money if you do NOT be a part of the film membership:
False. From the graph, it could be discovered that for any variety of films watched, the red line (membership) is always underneath the black line (non-club). Therefore, becoming a member of the club would nonetheless prevent cash even in case you watch only five films in keeping with 12 months.
An individual who joins the film club will start saving money as quickly as they see their first movie:
False. Joining the membership requires paying the membership fee, which is $45. Therefore, a person would want to look at sufficient films to compensate for the club rate before they begin saving cash.
A non-member can pay $60 to observe 20 films:
False. The graph no longer provides unique values for personal movie costs. Without these statistics, we cannot decide the precise fee for non-participants to look at 20 movies.
If a member and a non-member both watch 30 films in a yr, they'll pay the identical amount:
False. The graph indicates that the red line (membership) is always below the black line (non-membership) for any quantity of movies watched. Therefore, if both a member and a non-member watch 30 films, the member would pay much less than the non-member.
If a member watches 50 movies, it'll come to be costing a mean of precisely $3 in step with film:
True. The graph indicates that a person whether a member or a non-member if who watches 30 movies in a year, will pay the same amount. It is because the red line (membership) intersects with the black line (non-membership) at point 30, thus indicating the same cost for both categories.
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In a science experiment, Marisa concludes that no chemical reaction has occurred. What evidence would support this conclusion?
I NEED HELPPP!
The evidence that would help Marisa conclude that no chemical reaction occurred in a science experiment is option d) no new substance was formed.
A reaction is termed a chemical reaction if there is a change in the reactants involved. These changed substances have properties different from that of the original. This is what segregates chemical reactions from physical ones like boiling, freezing, breaking, etc.
According to the law of conservation of mass, the number of atoms will remain the same even if the chemical reaction has occurred. It is the number of molecules that changes. A chemical reaction cannot create any new element. It creates new compounds or decomposes existing ones into different elements.
Hence, the conclusion of no reaction occurred can be supported only by the evidence of no reaction of new substances.
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Complete Question
In a science experiment, Marisa concludes that no chemical reaction has occurred. What evidence would support
this conclusion?
A. the mass and total number of atoms were conserved
B. no energy was released
C. a new element was created
D. no new substance was formed
Decoding METARKJAX 102320Z 1100/1124 00000KT P6SM SCT035 FM110300 00000KT 5SM BR BKN010 BKN020 FM110600 16003KT 2SM BR BKN005 OVC010 TEMPO 1108/1112 1SM BR OVC003 FM111400 20010G18KT P6SM VCSH BKN015 OVC025 FM111700 24014G23KT 5SM -SHRA OVC015TEMPO?
Decoding Forecast starting at 17:00Z:
Wind:
24014G23KT
Visibility:
5 statute miles
Weather:
Light rain showers
Clouds:
Overcast at 1500 feet
Temporary condition unknown.
The full decoded METAR report is:
Location:
KJAX (Jacksonville International Airport)
Date/Time:
10th at 23:20Z
Wind:
00000KT
Visibility:
More than 6 statute miles
Clouds:
Scattered at 3500 feet
Forecast starting at 11:00Z:
Wind:
00000KT
Visibility:
5 statute miles
Weather:
Mist
Clouds:
Broken at 1000 feet, Broken at 2000 feet
Forecast starting at 06:00Z:
Wind:
16003KT
Visibility:
2 statute miles
Weather:
Mist
Clouds:
Broken at 500 feet, Overcast at 1000 feet
Temporary condition between 08:00Z and 12:00Z:
Visibility:
1 statute mile
Weather:
Mist
Clouds:
Overcast at 300 feet
Forecast starting at 14:00Z:
Wind:
20010G18KT
Visibility:
More than 6 statute miles
Weather:
Showers in vicinity
Clouds:
Broken at 1500 feet, Overcast at 2500 feet
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Find the general solution of the given differential equation.
y' + 7x6y = x6
y(x) =
Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Enter your answer using interval notation.)
Determine whether there are any transient terms in the general solution. (Enter the transient terms as a comma-separated list; if there are none, enter NONE.)
The largest interval over which the general solution is defined is (-∞, +∞). There are no transient terms in the general solution, so the answer is NONE.
To find the general solution of given differential equation, we'll solve it using an integrating factor. The given differential equation is:
y' + 7x^6y = x^6
Identify the form of the equation as y' + P(x)y = Q(x), where P(x) = 7x^6 and Q(x) = x^6.
The integrating factor is given by IF = e^(∫P(x)dx). In this case, P(x) = 7x^6, so the integrating factor is:
IF = e^(∫7x^6dx) = e^(7/7 * x^7) = e^(x^7)
Multiply the original equation by integrating factor:
e^(x^7)(y' + 7x^6y) = e^(x^7)(x^6)
Simplify and integrate both sides:
e^(x^7)y + 7∫(x^6e^(x^7))dx = ∫(x^6e^(x^7))dx
The integral on the right side can be evaluated to find a particular solution. For the left side, we have:
e^(x^7)y = ∫(x^6e^(x^7))dx
Let u = x^7, du = 7x^6dx
∫(x^6e^(x^7))dx = (1/7)∫e^udu = (1/7)e^u + C1 = (1/7)e^(x^7) + C1
Substituting this back into the equation:
e^(x^7)y = (1/7)e^(x^7) + C1
Solve for y:
y = (1/7) + C1e^(-x^7)
Therefore, the general solution to the differential equation is:
y(x) = (1/7) + C1e^(-x^7)
The largest interval over which the general solution is defined is (-∞, +∞) since there are no singular points or restrictions specified.
So, the answer is NONE.
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write an equation of a polynomial of degree 6 with 2 imaginary roots, one distinct root at negative sqrt of 3 and tangent to the x-axis at x
Using the provided conditions for the roots and the value for the degree of the polynomial, The required equation is : \(x^{6} + \sqrt2 x^{5}+9x^{4}+9\sqrt2 x^{3}\) .
What are roots of the equations?An equation's roots are just another way of indicating that the equation has "solutions." Solutions are the numbers that, once the variable has been solved, are equal to it. Set f(x)=0 and solve the equation for x to determine where the function meets the x-axis. The x-intercept is the root of the equation, which is discovered by solving the equation for x, if the function is a linear function of degree 1, where f(x)=mx + b.
What do you mean by degree of polynomial?The highest degree of a polynomial's monomials with non-zero coefficients is referred to as the polynomial's degree in mathematics. A term's degree is a non-negative integer and is calculated by adding the exponents of all the variables that occur in it.
imaginary roots are conjugate in nature,
(x+3i), (x-3i)
other roots,
\((x+\sqrt2)\),\(x^{3}\)
final equation,
\((x+3i)(x-3i)(x+\sqrt2)x^{3} =0\)
\(x^{6} + \sqrt2 x^{5}+9x^{4}+9\sqrt2 x^{3}\) = 0
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The mean age of 4 women in an office is 28 years old. the mean age of 4 men in an office is 30 years old. what is the mean age(nearest year) of all the people in the office?
Please help..! Find x and y
Answer:
17
Step-by-step explanation:
10y+7x-29=10y+5x+5
7x-29=5x+5
2x-29=5
2x=34
x=17
What is the value of x that makes the number sentence true? x + (-5) = -5
question 3 in the analyze stage of the data life cycle, what might a data analyst do? select all that apply.
In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations
The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle
The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems
The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system
Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations
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A point is plotted on the number line at 4 3/5 . A second point is plotted at −3 3/4 .
What is the length of a line segment joining these points?
Enter your answer as a simplified mixed number in the box.
Answer:
8 7/20 units
Step-by-step explanation:
do the math and that comes out
Hi. Please I need help with these questions.
It's urgent . 50pts.
No jokes. This time
Answer No 10and 11
next question
11)
\( {x}^{2} + (k - 1)x - k = 0\)
\((x - 1)(x + k) = 0 \\ x = 1 \\ x = - k\)
they are equal so both are one
then k = -1
be careful the answer of q 10 is in the pictures
Please Help! April took out a $900 loan from the bank. At the end of the 5 years, a 3.4%interest rate. How much interest does she have to pay back?
Answer: $30.60
Step-by-step explanation:
multiply 3.4% or 0.034 in decimal form, by 900, and that’s your interest
Decide whether the estés are equivalent
Answer:
no
no
Step-by-step explanation:
20 beats heard by 4 second using fork
Answer:
Equivalent
Step-by-step explanation:
Decide whether the given rates (not estes) are equal. Do do this, divide the number of beats by the number of seconds, in each case, separately:
30/20 beats/second = 1.5 beats/second
90/60 beats/second= 1.5 beats/second
These two rates are equivalent.
under the bounded rationality model of problem solving and decision making:
The statement that best summarizes the bounded rationality model of problem solving and decision making is 'Managers are comfortable making decisions without identifying all options'. Therefore, the correct option is B.
This is because the bounded rationality model recognizes that managers have limitations in their cognitive ability to process all information and alternatives, and therefore they use heuristics and simplified decision-making processes. However, this does not mean that they completely ignore options or do not consider the consequences of their decisions. Instead, they focus on the most relevant information and use their experience and judgment to make the best possible decision given the constraints they face.
Therefore, while option A) is partially correct, it does not capture the essence of the bounded rationality model. Option C) is too idealistic and implies that managers have unlimited time and resources to generate all possible options, which is not realistic. Option D) is not accurate as the bounded rationality model does not rely solely on statistical rules for decision making. Hence, the correct answer is option B.
Note: The question is incomplete. The complete question probably is: Which statement best summarizes the bounded rationality model of problem solving and decision making? A) Managers critically view the world as complex and multivariate. B) Managers are comfortable making decisions without identifying all options. C) Managers generate a wide array of decision options and select the one that meets all decision criteria. D) Managers follow statistical rules for decision making.
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1. Solve the equation. Round to the nearest hundredth.
Answer:
10.31
Step-by-step explanation:
If 0.776 = 8/x and we want to solve for x, invert both sides of the equation to obtain
x/8 = 1/0.776, which becomes
x = 8/0.776 = 10.31 (to the nearest hundredth)
Which graph represents a function? On a coordinate plane, a line with 2 angles crosses the x-axis at (negative .5, 0), the y-axis at (0, 1), turns at (1, 3), crosses the x-axis at (1, 0), turns at (1, negative 2), and crosses the x-axis at (2, 0). On a coordinate plane, a curved line crosses the y-axis at (0, 1.5), the x-axis at (negative 2, 0), and the y-axis at (0, negative 1.5). On a coordinate plane, a line enters the plane at point (negative 5, 4), makes a 90-degree turn at (negative 1, 0), and leaves the plane at point (negative 5, negative 4). On a coordinate plane, a line with an s curve enters the plane at point (negative 3.75, 5), crosses the x-axis at (negative .75, 0), the y-axis at (0, 0), leaves x-axis at (.75, 0), and exits the plane at point (3.75, negative 5).
Answer:
d
Step-by-step explanation:
Answer:
it is D
Step-by-step explanation:
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y = -x² + 78x - 512
The price which the widgets should be sold for, for the company to make the maximum profit is $39.
What is the maximum value of a function?The maximum value of a function is a point on the graph where the function reaches its highest point.
In order to determine the maximum profit which this company can expect to earn, we would differentiate the given profit function with respect to x:
y = -x² + 78x - 512
y' = -2x + 78
0 = -2x + 78
2x = 78
x = 78/2
x = 39.
f(39) = -(39)² + 78(39) - 512
f(39) = $1,009.
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At a coffee shop, the first 100
customers' orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer
ordered a small given that he or she
ordered a hot drink?
P( Small | Hot ) = [?]
Round to the nearest hundredth.
The probability that a customer ordering a small, given that he or she ordered a hot drink, is 0.066 or 6.66%
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of small = 5
Total number of hot = 5+48+22 = 75
Probability = 5/75 = 0.066 or 6.66%
Thus, the probability that a customer ordered a small given that he or she ordered a hot drink is 0.066 or 6.66%
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Answer: 0.07
Step-by-step explanation:
Always in the game and never played by the rules (rules)
Tried to let me leave (leave), fell down to my knees (knees)
Picked myself up and turned my back to the breeze, oh-oh
Spent a milli' on a milli', mama look at me (oh)
With all these diamond chokers, man, it's gettin' hard to breathe
If you made this Very good job. I like it, and its hard to make a song i like. i like about 60 songs total out of the 10000+ ik of
Find five rational numbers between -1/2 and 4/7
The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.
According to the statement
we have to find that the rational numbers.
So, For this purpose, we know that the
Rational number, a number that can be represented as the quotient p/q of two integers such that q ≠ 0.
From the given information:
The given numbers are between -1/2 and 4/7
Then to find the numbers then
Rational numbers = (-1/2 +4/7) /2
Rational numbers = (-1 +2/7)
Rational numbers = -5/7.
And then the number becomes -6/7, 2/7,3/7.
Now, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.
So, The rational numbers from the given numbers are -5/7, -6/7, 1/7, 2/7,3/7.
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A coordinate grid with 2 lines. The first line is labeled y equals 0.5 x plus 3.5 and passes through (negative 3, 1), (negative 2.7, 2.1), and (0, 3.5). The second line is labeled y equals negative StartFraction 2 over 3 EndFraction x plus StartFraction 1 over 3 EndFraction and passes through the points (negative 4, 3), (negative 2.7, 2.1), and (StartFraction 1 over 3 EndFraction, 0). Which is the approximate solution to the system y = 0.5x + 3.5 and y = −A system of equations. y equals 0.5 x plus 3.5. y equals negative StartFraction 2 over 3 EndFraction x plus StartFraction 1 over 3 EndFraction.x + shown on the graph? (–2.7, 2.1) (–2.1, 2.7) (2.1, 2.7) (2.7, 2.1)
Answer:
2.1 2.7
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
edge test ;)
HELP. What is the measure (in degrees) of Angle 1?
Answer:
117°
Step-by-step explanation:
The total is 180° and the two are not congruent so
180°- 63° = 117°
Hope this Helps, Have a Wonderful Day :D
What is the rate of change of the line that passes through the points (-3,-4) and (5,10)?
Answer:
m=7/4
Step-by-step explanation:
The following data was collected from a simple random sample from a process (infinite population).
13 15 14 16 12
I've already determined that the point estimate of the population mean is 14 and the point estimate of the population std. deviation is 1.581.
What is the Mean of the Population?
A. 14
B. 15
C. 15.1581
D. Could be any Value.
I want to say that it's 14 since the point estimate would be representative of the whole, but I wanted to make sure I was understanding it correctly and I haven't heard back from my professor. Thanks!
The point estimate of the population standard deviation for the given data set (13, 15, 14, 16, 12) is 1.581. Therefore, the correct option is A.
The data is collected from a simple random sample from an infinite population. In order to calculate the point estimate of the population standard deviation for the given data:
1. Calculate the mean (average) of the data set:
(13+15+14+16+12) / 5 = 70 / 5 = 14.
2. Subtract the mean from each data point and square the result:
(13-14)^2=1, (15-14)^2=1, (14-14)^2=0, (16-14)^2=4, (12-14)^2=4.
3. Find the sum of these squared differences:
1+1+0+4+4 = 10.
4. Divide the sum by the number of data points minus 1 (this is the degrees of freedom):
10 / (5-1) = 10 / 4 = 2.5.
5. Take the square root of the result to find the point estimate of the population standard deviation:
√2.5 = 1.581.
Hence the point estimate of the population standard deviation is 1.581. Hence, option A is the correct answer.
Note: The question is incomplete. The complete question probably is: The following data were collected from a simple random sample from an infinite population. 13 15 14 16 12 The point estimate of the population standard deviation is _____. a. 1.581 b. 2.500 c. 2.000 d. 1.414
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A circle is circumscribed within a square with sides of 20 feet, as shown
above. What is the area of the circle to the nearest square foot?
On solving the provided question, we can say that - Area enclosed by the square and the circle= 400 - 314 = 86 ft sq
What is circle?Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.
Side of the square =20feet
Therefore,
Radius of the inscribed circle= 20/2 = 10 feet
Area of square=20 X 20 = 400 feet sq.
Area of circle=\(\pi * r^{2} \\\pi * 10*10\\3.14*100\\314 ft sq\)
Area enclosed by the square and the circle= 400 - 314
= 86 ft sq
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