Answer:
Option 1
Step-by-step explanation:
[tex]|x-2|<14 \\ \\ x-2<-14, x-2>14 \\ \\ x<-12, x>16[/tex]
A train leaves city A at 0800 h and travels at a uniform speed of 60 kmh¹ towards city B. Another train leaves city B at the same instance and travels at a uniform speed of 40 kmh¹ towards city A. If the distance between the two cities A and B is 100 km, calculate the time at which the two trains pass each other.
The 100 km difference between the two cities takes two trains to pass each other in 5 hours.
What do time, distance, and speed mean?The relationship between speed, distance, and time is described using the formula of speed, distance and time.
That is speed = distance/time.
What is relative speed?The velocity of an object in relation to another observer is referred to as the relative speed.
Given:
A train departs from city A and moves toward city B at a constant speed of 60 km/h and time taken is 8 hours.
At the same time, a second train departs city B and heads toward city A at a constant speed of 40 km/h.
The relative speed of first train with respect to the second train = 60-40
= 20 km/h
It is given that the two cities A and B are located 100 kilometers apart from one another.
So, distance between both cities = 100 km
By using the speed formula,
Speed = Distance/Time
Time = Distance/Speed
Time = 100/20
∴ Time = 5 hours
Consequently, it takes 5 hours for the two trains to pass one another with 100 km distance between two cities.
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what is the answer 67+2=?
Answer:This is 69
Step by step explanation:67 +2 is 69
Solve the equation for x.
1=0.4x - 0.8x - 35
What does x equal
Answer:
x = - 90
Step-by-step explanation:
1 = 0.4x - 0.8x - 35 ( add 35 to both sides )
36 = - 0.4x ( divide both sides by - 0.4 )
- 90 = x
(10x-18)
B (15x+48)°
Name the relationship
Solve for x
X=
What is the measure of angle B
degrees
Answer:x=-13+1/5
Step-by-step explanation:
10x-18=15x+48
We move all terms to the left:
10x-18-(15x+48)=0
We get rid of parentheses
10x-15x-48-18=0
We add all the numbers together, and all the variables
-5x-66=0
We move all terms containing x to the left, all other terms to the right
-5x=66
x=66/-5
x=-13+1/5
triangle ABC has vertices A(-2,-1), B (1,2) and C (2,-4), if triangle A'B'C' is a dilation of triangle ABC with a scale factor of 2,5 and center of dilation (0,0), give the coordinates of the vertices of triangle A'B'C'
After a dilation with a scale factor of 2.5 and center of dilation (0, 0), the coordinates of the vertices of triangle A'B'C' are A' (-5, -2.5), B' (2.5, 5), and C' (5, -10).
What is dilation?Dilation simply refers to a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
What is scale factor?A scale factor can be defined as the ratio of two (2) corresponding length of sides or diameter in two similar geometric figures such as triangles.
For the given coordinates, the dilation with a scale factor of 2.5 and center of dilation (0, 0) should be calculated as follows:
Point A (-2, -1) → Point A' (-2 × 2.5, -1 × 2.5) = Point A' (-5, -2.5).
Point B (1, 2) → Point B' (1 × 2.5, 2 × 2.5) = Point B' (2.5, 5).
Point C (2, -4) → Point C' (2 × 2.5, -4 × 2.5) = Point C' (5, -10).
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You have saved $24 towards the purchase of your own laptop. you get a job at the corner store cleaning after hours on sundays that pays $40 per week. the laptop you want costs $850 and includes everything you'll need to start college.
The number of weeks needed to get $850 is 21 weeks.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe a scenario.
Let the number of weeks be represented by w
Amount saved = $24
Amount needed = $850
Number of weeks = w.
This will be illustrated as:
24 + 40w = 850
Collect like terms
40w = 850 - 24
40w = 826
Divide
w = 826 / 40
w = 20.65 = 21 approximately
There'll be 21 weeks.
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You have saved $24 towards the purchase of your own laptop. you get a job at the corner store cleaning after hours on sundays that pays $40 per week. the laptop you want costs $850 and includes everything you'll need to start college. How may weeks are needed?
7x-3y=13
9x+10y=-11
help me
Answer:
Step-by-step explanation:
it's below
Answer:
(1, - 2 )
Step-by-step explanation:
7x - 3y = 13 → (1)
9x + 10y = - 11 → (2)
multiplying (1) by 10 and (2) by 3 and adding will eliminate y
70x - 30y = 130 → (3)
27x + 30y = - 33 → (4)
add (3) and (4) term by term to eliminate y
97x + 0 = 97
97x = 97 ( divide both sides by 97 )
x = 1
substitute x = 1 into either of the 2 equations and solve for y
substituting into (2)
9(1) + 10y = - 11
9 + 10y = - 11 ( subtract 9 from both sides )
10y = - 20 ( divide both sides by 10 )
y = - 2
solution is (1, - 2 )
im very confused by this question
Answer:
x<3
Step-by-step explanation:
4x<5+7
4x<12
x=12÷4
x=3
Determine the degree measure measure of One angle of a 30 sided regular polygon.
5400°
5040°
180°
168°
The degree measure of one angle of a 30 sided regular polygon is 168°
What is a regular polygon?A two-dimensional geometric shape with a finite number of sides is called a polygon. A polygon's sides or edges are made up of segments of straight lines that are joined end to end to create a closed shape.
The intersection of two lines is referred to as a vertex or corner, and an angle is created as a result. Regular polygons are those that have sides that are congruent.
We will use the side-angle relation of a regular polygon with any no. of sides to find total sum of interior angles that is
(Side - 2) × 180°
(30 - 2) × 180°
= 5040°
Measure of each angle of 30-gon
= 5040°/30
= 168°
Thus, the degree measure measure of One angle of a 30 sided regular polygon is 168°
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Answer: 168
Step-by-step explanation: did the test
5a-b=7 for a
Help please
what will be the value of k so that the equation [tex]kx^{2} -4x+1[/tex] has two equal roots (same roots)
The value of k so that the equation has two equal roots is 4
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the value of k in the equation?The quadratic equation is given as
kx^2 - 4x + 1
A quadratic equation is represented as
ax^2 + bx + c
This means that
a = k, b = -4 and c = 1
When the equation has equal roots, we have
b^2 = 4ac
So, we have
(-4)^2 = 4 * k * 1
Evaluate
k = 4
Hence, the value of k is 4
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The distinct lines ABC and deer in the same place tell how Line A. And line B. related to each other justify your answer a ll b,b ll c,c | d
Line A is perpendicular to D because a is parallel to c and c is perpendicular to d.
How are parallel straight lines related?Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope. Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.
WE have been given that a ll b,b ll c,c is perpendicular to d.
Here the line a is parallel to b and b is parallel to c so a must be parallel to c.
As we know that c is perpendicular to d since, a is parallel to c.
Therefore, Line A is perpendicular to D because a is parallel to c and c is perpendicular to d.
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What is the average rate of change between the points (3, 9) and (5, 15)?
The average rate of change between the given points (3, 9) and (5, 15) is: 3.
What is the Average Rate of Change between two Points?To find the average rate of change between two points on a coordinate plane, the formula below is used:
Average rate of change = change of y over the change of x = (y2 - y1)/(x2 - x1).
Given the following points on a coordinate plane:
(3, 9)
(5, 15)
Let:
(3, 9) be represented as (x1, y1)
(5, 15) be represented as (x2, y2)
Substitute the values into the average rate of change formula:
Average rate of change = (15 - 9)/(5 - 3)
Average rate of change = 6/2
Average rate of change = 3
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HELPP ME ASAP
Which point is located on the y axis iready
Answer: The first option (0,-3)
PLEASE HELP AGAIN PLS
Answer:
(5,0)
Step-by-step explanation:
Let y=0. Then, x=5.
Shelby bought a painting for d dollars. She was charged a 7% sales tax for the painting. Which expression correctly shows the total price that Shelby paid for the painting?
Answer:
The expression is 1.07d.
Question 1
If your train travels at 65 miles per
hour for 3.5 hours, how far will it
go?
If your train travels at 65 miles per hour for 3.5 hours, it go 227.5 miles.
What is Speed ?
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
Given:
Speed S = 65 miles per hour
Time T = 3.5 hours
We know that,
S= D/T Where D is the distance traveled.
Therefore,
65 miles per hour = D/ 3.5 hours
D = 65 x 3.5 miles
=227.5 miles
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The height in inches of two different groups of students in Mrs. Zamensky’s class are listed below.
Group A: 51, 53, 60, 64, 55
Group B: 50, 55, 58, 63, 52 Which statement is true about the heights of each group of students? Responses Group A has greater variability in students’ heights. Group A has greater variability in students’ heights. Group B has a greater mean for the students’ heights. Group B has a greater mean for the students’ heights. The variability in students’ heights of both groups is the same. The variability in students’ heights of both groups is the same. The mean for the heights of both groups of students is the same.
The range for both groups are the same, therefore: C. The variability in students’ heights of both groups is the same.
How to Determine the Variability and Mean of a Data Set?To find the mean of a data set, sum all data points given together and divide what you get by the number of data points that is given in the data set.
The range of a data gives us an idea of the spread of a data, which is a measure of variability. The larger the range, the more the variability that exist in the data set.
Given, Group A: 51, 53, 60, 64, 55, and Group B: 50, 55, 58, 63, 52, find the mean of each data set
Mean for Group A = (51 + 53 + 60 + 64 + 55)/5 = 283/5 = 56.6
Mean for Group B = (50 + 55 + 58 + 63 + 52)/5 = 278/5 = 55.6
Range for Group A = 64 - 51 = 13
Range for Group B = 63 - 50 = 13
This means that variability in students’ heights is the same for both group A and B.
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Lucy earns $15.75 per hour. Last week she worked 25 hours. What is her gross pay:
Lance has a yearly salary of $52,300 and pays 21% in taxes. Answer the following
a. How much does he pay in taxes?
b. What is his net pay?
c. If he receives two paychecks a month, how much will each paycheck be?
Lucy's gross pay per week is $393.75.
Lance's tax payment amount is $10983.
Lance's net pay is $41,317.
Lance's every paycheck of two will be around $2179 per month.
How find the pay?1) Lucy earns $15.75 per hour.
Last week she worked 25 hours.
Solution:
Lucy's gross pay per week is $15.75 * 25 hours.
Lucy's gross pay per week = 15.75 * 25 = $393.75
2) Lance has a yearly salary of $52,300
He pays 21% as taxes.
Solution:
a) Lance tax pay amount = 21/100*52,300 = $10983
b) Lance's net pay = $52,300 - $10983 = $41,317
c) Per month salary = $52,300/12 = $4358
Each paycheck will be 4358/2 = $2179
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Which of the following are characteristics of the graph of the linear parent
function?
Check all that apply.
A. It is a straight line.
B. It goes through the origin.
C. It is a parabola.
D. It has a slope of 1.
3. Suppose that the function f(x) = 7x + 2 represents the number of cars that drive by in x minutes.
How many cars will drive by in 10 minutes?
27
70
72
90
PLS HELP i’m stuck on this question
Answer:
I djdhdhdh47747
Step-by-step explanation:
jrhrhdhrhdbdndbdbdjdjdjfjfjfjfjfjfjfjffuufufurtuhrbrbrnrntjrjfjfjdjfufufjfjfjfjffiitiririfiififig
Find the value is cos W rounded to the nearest hundredth, if necessary
cosine = adj/hypt.
inverse of cosine = arccosine
arccosine(6/22) = 74.34
What is the prime factorization of 621?
Answer:
[tex]621 = {3}^{3} \times 23[/tex]
Step-by-step explanation:
[tex]621 \div 3 = 207[/tex]
[tex]207 \div 3 = 69[/tex]
[tex]69 \div 3 = 23[/tex]
[tex]621 = 3 \times 3 \times 3 \times 23 = {3}^{3} \times 23[/tex]
what is the scale of a map in 1cm on the map is 2km in real life
Answer:
1cm:2km
Step-by-step explanation:
you ratio both of the answers which shows that 1cm on the map represents 2km in reality.
which distribution is appropriate when counting the number of successes in n trials if the probability of success p remains constant from trial to trial? multiple choice question.
When counting the number of successes in n trials, the (D) binomial distribution should be used if the success probability, p, stays constant from trial to trial.
What is binomial distribution?When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution. The probability of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution. When counting the number of successes in n trials, the binomial distribution should be used if the success probability p stays constant.For the trials we are looking at, the probability of receiving success in a binomial distribution must stay constant. Since there are only two possible outcomes when tossing a coin, for instance, the probability of flipping a coin is 12 or 0.5 for each trial we conduct.As it is given in the descrip[tion itself that the probability of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.
When counting the number of successes in n trials, the binomial distribution should be used if the success probability p stays constant.Therefore, when counting the number of successes in n trials, the (D) binomial distribution should be used if the success probability, p, stays constant from trial to trial.
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The complete question is given below:
Which distribution is appropriate when counting the number of successes in n trials if the probability of success p remains constant from trial to trial?
(A) Normal Distribution
(B) Power Normal Distribution
(C) Extreme Value Type Distribution
(D) Binomial Distribution
What is the best app to earn 1000 subscribers and 4000 public watch hours free online?
PLEASE HELP ILL MARK BRAINEST.
1) The value of x that would make m║n is; x = 13
2) The value of x that would make m║n is; x = 14
3)a) The angles are congruent by alternate interior angles postulate.
b) The angles are congruent by linear pairs postulate.
c) The angles are congruent by corresponding angles postulate.
How to find corresponding angles?When two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.
1) From definition of corresponding angles, line m is parallel to line n and as such, we can say that;
2x + 12 = 38
2x = 38 - 12
2x = 26
x = 13
2) From definition of corresponding angles, line m is parallel to line n and as such, we can say that;
3x + 41 = 8x - 29
8x - 3x = 41 + 29
5x = 70
x = 14
3) a) From definition of alternate interior angles, we can say that yes the angles are congruent by alternate interior angles postulate.
b) Linear pair of angles are formed when two lines intersect each other at a single point. Thus, the angles are supplementary and add up to 180° and they are congruent by linear pairs postulate.
c) The angles are congruent by corresponding angles postulate.
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13) Three adjacent angles are at a point. The first angle is represented by x, the second angle is 20° more than the
first, and the third angle is 20° more than the second angle. Find the measurements of all three angles.
Answer:
x=40 degrees
Step-by-step explanation:
adjacent angles add up to 180 degrees
First angle=x
second angles=x+20
third angle =x+40
add all and equate to 180 degrees i.e.
x+x+20+x+40=180
3x=180-60
x=40 degrees
x+20=40+20=60 degrees
x+40=40+40=80 degrees
A property map is drawn at a scale of 1:1000. Calculate the corresponding actual distance if the distance between two points on the map is 4.9cm
A property map is drawn at a scale of 1:1000, if the distance between two points on the map is 4.9cm. then the actual distance is = 4.9 * [tex]10^{3}[/tex]
A property map is drawn at a scale of 1:1000
The distance between two points on the map is 4.9cm
Based on the given conditions, formulate :
= 4.9 * 1000/1
= 4.9 * 1000
Calculate the product or quotient,
= 4900
This alternative forms is,
= 4.9 * [tex]10^{3}[/tex]
Therefore,
The actual distance is = 4.9 * [tex]10^{3}[/tex], if the distance between two points on the map is 4.9cm.
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