Answers
Answer:
C
Step-by-step explanation:
The solution to a system equations is the point(s) of intersection of the 2 graphs.
Assuming that each square grid represents 1 unit, the coordinates of the point intersection is (-2, 2). This is because drawing a vertical line straight down from the point of intersection, we notice that the x-coordinate of the solution is 2 square units on the left of the origin. Drawing a horizontal line from the point of intersection to the y-axis gives us the y-coordinate of y= 2. Thus, the solution is (-2, 2) and the answer is C.
This method of finding the solution is also known as graphical method, where the graphs of the 2 equations are drawn, and the solution is where the lines cuts through each other.
Alternative methods of solving equations include substitution and elimination methods.
*Origin is the point (0, 0) on the graph, and it is the point in which the two axes intersect.
Additional:
For an example of solving by substitution, do check out the following!
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What is the area of this triangle?
_units²
Answers
The area of the triangle is 4 units²
What is the area of a triangle?The area of a triangle is the half the base multiplied with the height of that triangle
Area = 1/ 2 × b × h
From the figure given,
base = 7 - 3 = 4 units
height = 4 - 2 = 2 units
Area = 1/ 2 × 4 × 2
Area = 1/ 2 × 8
Area = 4 units²
Thus, the area of the triangle is 4 units²
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Six is called a perfect number because its factors (not including 6) add up to itself, i.e. 1 + 2 + 3 = 6. find all the perfect numbers between 20 and 30
Answers
28= 1+2+4+7+14
Hope this helps! :))
verbal scale uses a representative fraction to describe the ratio between the map and the real world
Answers
Verbal scale uses a representative fraction to describe the ratio between the map and the real world is a "true" statement.
What is verbal scale/expression?A verbal scale is also known as a "word statement" or a "scale expression," and it is one of the possibilities for entering "scale text" in the ArcGIS software.
It is presented as a relationship between map distance and ground distance that is stated in common units that both parties can agree upon.
Uses of the verbal scale:
Verbal scales are widely employed on large-scale maps and planning documents, most frequently by civil engineers, just like representative fractions. On some smaller-scale maps, you can discover them, although not as frequently as you can with representative fractions. The verbal scales have already been calculated in some common map scales, so you might utilize those. The best treatment of verbal scales and the other scale indications may be found in Map Use by Kimerling, Muehrcke, and Muehrcke.To know more about the verbal expression(scale), here
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The complete question is-
Verbal scale uses a representative fraction to describe the ratio between the map and the real world.(True/False).
When you flip a biased coin the probability of getting a tail is 0.47. Find the probability of getting a head.
Answers
Answer:
0.53
Step-by-step explanation:
1 - 0.47 = 0.53
Answer: 0.53
Answer:
0.53 or 53%
Step-by-step explanation:
1 = 100%
1 - 0.47 = 0.53 * 100 (100%) = 53% chance of getting heads.
A radioactive substance decays exponentially. A scientist begins with 110 milligrams of a radioactive substance. After 20 hours, 55 mg of the substance remains. How many milligrams will remain after 26 hours
Answers
Answer:
44.7 mg
Step-by-step explanation:
The equation for exponential decay can be written in the form ...
y = a·b^(t/p)
where 'a' is the initial value, 'b' is the decay factor, 'p' is the period over which the decay factor is applicable, and t is time in the same units as p.
SetupUsing the above equation, we have ...
a = initial value = 110 mg
b = decay factor = 55/110 = 1/2 over time period p=20 hours
Then the equation is ...
y = 110·(1/2)^(t/20) . . . . amount remaining after t hours
SolutionWe want the amount remaining after 26 hours. That will be ...
y = 110·(1/2)^(26/20) ≈ 44.67
About 44.7 milligrams will remain after 26 hours.
Select all the correct answers.
Consider functions f and g.
f(x) = - 2 cos (x - 1) + 3
g(x) = 2 cos (x + 3) - 3
Which statements describe transformations of the graph of fresulting in the graph of function g?
A. The graph of function f has been vertically stretched by a factor of 4.
B. The graph of function fhas been reflected over the y-axis.
C. The graph of function fhas been reflected over the x-axis.
D. The graph of function fhas been translated 3 units down.
D. The graph of function fhas been translated 4 units left.
E. The graph of function fhas been translated 3 units left.
((More than one))
Answers
The function g(x) is created by applying an horizontal translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
How to determine the characteristics of rigid transformations by comparing two functions
In this problem we have two functions related to each other because of the existence of rigid transformations. Rigid transformations are transformations applied to geometric loci such that Euclidean distance is conserved at every point of the geometric locus.
Let be f(x) = - 2 · cos (x - 1) + 3, then we use the concept of horizontal translation 4 units in the + x direction:
f'(x) = - 2 · cos (x - 1 + 4) + 3
f'(x) = - 2 · cos (x + 3) + 3 (1)
Now we apply a reflection over the x-axis:
g(x) = - [- 2 · cos (x + 3) + 3]
g(x) = 2 · cos (x + 3) - 3
Therefore, the function g(x) is created by applying an horizontal translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
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Can someone help?
what do both of these functions have in common?
f(x) = 5e^x+5 - 5 g(x) = 0.5(x-5)^2 -5
o a. they have the same vertical stretch
ob. they have the same horizontal translation
c. they have the same vertical shift
d. they have the same end behavior
Answers
c. They have the same vertical shift.
A vertical shift is just an alternate within the y-price of each characteristic. it's miles literally picking up the entire characteristic or graph and moving the whole element up or down. If it's far moved up, we add to the y-cost, if it's far moved down, we subtract from the y-cost.
Vertical shift and lateral shift are phenomena because of the refraction of mild rays once they journey from one medium into every other. while light rays travel across two parallel surfaces, the emergent rays from the second one floor are parallel to the incident rays on the primary floor.
The segment Shift is how far the function is shifted horizontally from the standard position. The Vertical Shift is how long way the function is shifted vertically from the same old function.
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Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?
x < –2.5
x > 2.5
(–2.5, ∞)
(–∞, 2.5)
Answers
The solution to the inequality is (–2.5, ∞)
How to solve the inequality?The inequality is given as:
5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)
Open the brackets
15.3 + 11.22x > –14.25 – 10.2x - 24
Collect the like terms
11.22x + 10.2x > -15.3 - 14.25- 24
Evaluate the like terms
21.42x > -53.55
Divide both sides by 21.42
x > -2.5
This can also be represented as (–2.5, ∞)
Hence, the solution to the inequality is (–2.5, ∞)
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Answer:
c
Step-by-step explanation:
on edge
v(t)=37,036(0.84)¹ What is the initial cost of the car, and what will the car be worth after 4 years? Round to the nearest whole number.
Answers
The initial value is 37,036 dollars and in 4 years, the value will be 18,439.16 dollars.
How to work with the exponential decay equation?Here we have an exponential decay that models the value of a car as time passes, the exponential decay is:
[tex]v(t) = 37,036*(0.84)^t[/tex]
The initial value is what we get when we evaluate in t = 0.
[tex]v(0) = 37,036*(0.84)^0 = 37,036[/tex]
The initial value is 37,036 dollars.
The value in 4 years is what we get when we evaluate in t = 4:
[tex]v(4) = 37,036*(0.84)^4 = 18,439.16[/tex]
In 4 years, the value will be 18,439.16 dollars.
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Solve this system of equations: y = x2 – 3x 12 y = –2x 14 1.isolate one variable in the system of equations, if needed. y = x2 – 3x 12 y = –2x 14 2.use substitution to create a one-variable equation. –2x 14 = x2 – 3x 12 3.solve to determine the unknown variable in the equation. what are the values of x? {–2, 1} {–2, 4} {–1, 2} {–1, 4}
Answers
Answer:
our answer is X=2 or X= -1
Answer: C. {-1,2}
Correct on Edge 2023
make m the subject!
Answers
a+b-mx=0
a+b=mx
(a+b)/x=m
Marco built a circular table that has a radius of 3 centimeters. what is the diameter of the table ?
Answers
Answer:
Diameter = 2 x Radius / The answer should be 6.
Step-by-step explanation:
D = 2 x 3
= 6
True or false: If neither variation in an A/B is statistically better, you pick the variation you like best and proceed to make the change.
Answers
It is false to state that " If neither variation in an A/B is statistically better, you pick the variation you like best and proceed to make the change."
What is A/B Testing?A/B testing compares two variations of a website element, often by evaluating users' responses to variant A vs. variant B and determining which of the two variants is more successful.
When the variation seems to be equal, then another factor must be introduced into the metric analysis that helps to make the testing objective.
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a colony of bacteria grows by 5% every hour. how long does it take for the colony to double in size
Answers
Answer:
20 hrs
Step-by-step explanation:
growth per hour=5%
no of hrs to double=100/5=20
(it may be wrong)<3
Can someone help me please
Answers
The domain of the function will therefore be 0≤x<∞
Domain of a functionDomain of a function are the independent value for which a function exists. Given the function below;
f(x) = [tex]\sqrt[4]{x}[/tex]
Since the value in the root cannot be negative hence the domain of the function will be all positive real numbers.
The domain of the function will therefore be 0≤x<∞
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How many times does the quadratic function below the intersect the x-axis?
Answers
what does it mean if x=1?
Answers
The meaning of the equation x=1 is that the numerical value of variable X is; 1.
What is the meaning of x=1?It follows from the task content that the mathematical meaning of the equation x=1 be explained.
By virtue of the equality sign, it follows that the numerical value of variable x is 1 and hence, 1 can be substituted for variable x in any mathematical expression within the context of discuss.
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When reuben had 3 years left in college, he took out a student loan for $16,902. the loan has an annual interest rate of 4.5%. reuben graduated 3 years after acquiring the loan and began repaying the loan immediately upon graduation.
Answers
Answer:
Reuben will have to pay $19,183.77 when he starts to pay the loan off after 3 years.
Step-by-step explanation:
There are 3 important parts to this equation:
1) 16,902
2) 4.5%
3) 3 years
First, let's find the interest rate in decimal form. This is easy enough to do.
take the interest rate (4.5%) and divide by 100. You can do this in your head by moving the decimal point but I will just write it out for the example:
4.5/100 = 0.045
Now that we have that number. we want to get the dollar amount for the interest. this is done by taking the loan amount and multiplying it by the decimal form of the percentage:
16,902 * 0.045 = 760.59
Since the interest rate is NOT compounding the rest is simple.
760.59 * 3 = 2,281.77
2,281.77 + 16902 = 19,183.77
Hope this helps.
What percentage of rolls were a 6?
Answers
Step-by-step explanation:
1 ----> 22 times
2 ----> 16 times
3 ----> 26 times
4 ----> 29 times
5 ----> 1 times
6 ----> 6 times
so , total ----> 100 times
so , percentage of rolls 6 is :-
(6/100 ) × 100%
= 6%
4. Based on the triangle sum theorem, solve for x.
Answers
Answer:
x = 10
Step-by-step explanation:
180 = 90 + 40 + (4x + 10)
180 = 130 + (4x + 10)
4x + 10 = 180 - 130
4x + 10 = 50
4x = 50 - 10
4x = 40
x = 40/4
x = 10
Answer:
x = 10
Step-by-step explanation:
An euclidean triangle is defined to have sum of all 3 interior angles equal to 180°.
In the given triangle, we know three measurement:
4x+1040°90°You may be wondering, where does 90° come from. The answer is you can find it by looking if a triangle has a little square symbol or not. If it does, the measurement will always be 90°.
Now since we know that sum of 3 interior angles must equal to 180° in euclidean triangle. Therefore, sum up three of measurement then set to 180°.
[tex]\displaystyle{90 + 4x+10 + 40= 180}[/tex]
Evaluate and solve for the x-variable:
[tex]\displaystyle{90 + 4x+10 + 40= 180}\\\\\displaystyle{4x+140 = 180}\\\\\displaystyle{4x=180-140}\\\\\displaystyle{4x=40}\\\\\displaystyle{x=10}[/tex]
Therefore, the value of x is 10
Surface area=
Help me please thanks
Answers
The surface area of the sphere is 324π square units
Calculating the surface areaFrom the question, we are to calculate the surface area of the sphere
The surface area of a sphere can be calculated by using the formula
[tex]Surface \ area = 4 \pi r^{2}[/tex]
Where r is the radius of the sphere
In the given diagram,
r = 9
Thus,
Surface area = 4π × 9²
Surface area = 4π × 81
Surface area = 324π square units
Hence, the surface area of the sphere is 324π square units
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uan recently hired a roofer to do some necessary work. On the final bill, Juan was charged a total of $1131.5. $450 was listed for parts and the rest for labor. If the hourly rate for labor was $47, how many hours of labor was needed to complete the job?
Answers
Based on the total cost that Juan incurred to hire the roofer including the charge for parts and labor, the number of hours that was needed to complete the job was 14.50 hours.
How many hours did the roofer use?The first thing to do is to find out the amount that went to labor:
= Final bill - cost of materials
= 1,131.5 - 450
= $681.50
Now that you have the cost of labor, you can find out the number of labor hours that were used based on the hourly rate:
= Cost of labor / Hourly rate
Solving gives:
= 681.50 / 47
= 14.5 hours
In conclusion, the number of labor hours that the roofer used to complete the work, based on the total amount charged to Juan is 14.50 hours.
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I know this is a supervised data mining task because (choose all that apply) A. Because the target belonged to the same group as some thine else B. We have historical data on the target. C. There a specific quantifiable target that we are interested in or trying to predict. D. We were able to group the target with other variables
Answers
Answer:
The answer to your question is C. There a specific quantifiable target that we are interested in or trying to predict.
Step-by-step explanation:
I hope this helps and have a good day!
The number of marriage licenses issued by Clark County Nevada, the county where Las Vegas is located, has been decreasing since the year 2000. Using the table, how many marriage licenses were issued in 2008? 2010 Year 105,000 2001 2003 2006 Marriage Licenses 141,000 133,000 121,000 A. 113,000 B. 121,000 C. 118,000 10 Points D. 102,000
Answers
If the marriage licenses issued in 2001,2003,2006,2010 were 141000,133000,121000,141000 then by solving arithmetic progression we will get that the marriage licenses issued in 2008 were 113000.
Given that the marriage licenses issued in 2001,2003,2006,2010 were 141000,133000,121000,141000.
We are required to find how many marriage licenses were issued in 2008.
Average difference between licenses issued from 2001 to 2003=
=133000-141000)/2
=-4000
Average difference between licenses issued from 2003 to 2006=
=(121000-133000)/3
=-12000/3
=-4000
Average difference between licenses issued from 2006 to 2010=
=(105000-121000)/4
=-16000/4
=-4000
It is an arithmetic progression because the difference between marriage issued from one year to another is equal.
An arithmetic progression is a sequence in which each terms are having equal difference between them.
Nth term=a+(n-1)d
8th term=141000+(8-1)*(-4000)
=141000+7*(-4000)
=141000-28000
=113000
Hence the marriage licenses issued in 2008 were 113000 which is
option A.
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A data store system that collects and stores all of the learning experiences in the form of statements that can be organized and presented in a meaningful way is the
Answers
The learning records is the meaningful way in which all of the data of learning experiences is record in the form of statements.
According to the statement
we have to tell that the which record is used when A data store system that collects and stores all of the learning experiences in the form of statements that can be organized and presented in a meaningful way.
So, for find this data store way to record the data
We know that the
The Learning Record provides an architecture and process for documenting student progress and achievement, based on interviews, observations over time, samples of students' naturally-occurring work, and well-supported interpretations of learning across five dimensions.
we see that the these given conditions in statement are approved by the data store way named the learning records.
So, The learning records is the meaningful way in which all of the data of learning experiences is record in the form of statements.
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In the following table, the age (in years) of the respondents is given as the x value, and the earnings (in thousands of dollars) of the respondents are given as the y value. Use Excel to find the best fit linear regression equation in thousands of dollars. Round the slope and intercept to three decimal places.
Answers
The required equation based on the information given is y =0.433x + 24.493
How to illustrate the information?It should be noted that one can simply copy and paste the data set into excel sheet
Then, use intercept and the slope formula to find slope and intercept. We will have
slope = SLOPE(y values, x values)
= 0.433
intercept = INTERCEPT(y values, x values)
= 24.493
Therefore, the required equation is y =0.433x + 24.493
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A professor gave her students six essay questions from which she will select three for a test. A student has time to study for only three of these questions. What is the probability that, of the questions studied.
Answers
The probability that of the questions studied, all three were the test questions selected by the professor is 0.05.
How to find the probability?We can find the probability by dividing the total number of favorable events by the total number of events.
The total number of events is given by [tex]6C_{3}[/tex].
The total number of favorable events is given by [tex]3C_{3}[/tex].
The probability is given by = Favorable events/Total number of events
= [tex]\frac{3C_{3}}{6C_{3}}[/tex]
= [tex]\frac{1}{\frac{(6)(5)(4)}{(1)(2)(3)} }[/tex]
= [tex]\frac{1}{(5)(4) }[/tex]
= 0.05
The probability that all three questions are selected by the professor for the test is found to be 0.05.
Therefore, we have found that the probability that of the questions studied, all three were the test questions selected by the professor is 0.05.
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Disclaimer: The question was incomplete, the complete question is attached below.
Question: A professor gave her students six essay questions from which she will select three for a test. A student has time to study for only three of these six questions. What is the probability that, of the questions studied, all three were the test questions selected by the professor?
In a 10-year period, Bakersfield, CA population grew from 558,000 to 718,000. What is the percentage of increase? (Round to the nearest tenth of a percent)
Answers
The percent increase to the nearest tenth is 22.2%
Calculating percent increasePercent increase is the percent it takes from a value to change from its initial value
Given the following
Initial value = 558,000
Final value = 718,000.
Determine the percent increase
% increase = (718,000-558000)/718,000 * 100
% increase = 160000/718000 * 100
% increase = 22.2%
Hence the percent increase to the nearest tenth is 22.2%
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PLEASE HELP Which answer provides a counterexample to the following statement: "If a figure has an endpoint,
then it is a line segment"?
Answers
Answer:
ray
Step-by-step explanation:
Rays only have one endpoint, so it continues infinitely in one direction. Segments have TWO endpoints.
Can someone help please
Answers
Answer:
x=7 y=3
Step-by-step explanation:
-x+6y=11
2x-3y=5
-2x+12y=22
2x-3y=5
Add both equations
-2x+2x-3y+12=22+5
9y=27
y=3
plug y back in
-x+18=11
-x=-7
x=7