Graph the line of the slope of 1/4 and includes the point (0,2)
Answers
Answer:
I'm on Edulastic.com taking a 100 Q test and this question is on it!
Step-by-step explanation:
Imao im fgging confused
The graph of the required line [tex]\bold{y=\frac{x}{4}+2}[/tex] is given below.
Slope point form of equation of line: -An equation of line with slope m and passing through point (p, q) is:
(y - q) = m × (x - p)
We have been given the slope of the line m = 1/4,
and a point (p, q) = (0, 2)
Using the slope-point form equation of line would be,
⇒ (y - 2) = 1/4 × (x - 0)
⇒ (y - 2) = 1/4(x)
⇒ y = x/4 + 2 ...............................(1)
So, the equation of the line is [tex]y=\frac{x}{4} +2[/tex].
To plot the line we need at least two coordinate points.
We have been given a point (0, 2).
We need to find another point.
Substitute x = -4 in equation (1),
⇒ y = (-4)/4 + 2
⇒ y = -1 + 2
⇒ y = 1
So, another point on the line would be (-4, 1).
Now, we plot points (0, 2) and (-4, 1) on coordinates plane.
Then the graph of the line [tex]\bold{y=\frac{x}{4}+2 }[/tex] is as shown in figure.
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Related Questions
2.
Fifty people who watch television were recently
polled as to which type of program they preferred.
The results are shown in the table.
Television Survey
Type of Show Number
who watch
comedy
16
documentary 9
drama
12
musical
8
news
5
What percent of those surveyed preferred to watch
comedy shows?
Answers
Answer:
39.02%
or
39%
Step-by-step explanation:
-17 + 20 + (-3)
SOMEBODY HELP ME PLS ASAP
Answers
Answer:
0
Step-by-step explanation:
What is the correct decimal point placement for the product of 3.54 × 15.42? 54.5868 545.868 5458.68 54586.8
Answers
9514 1404 393
Answer:
54.5868
Step-by-step explanation:
The multiplicands each have 2 digits to the right of the decimal point, so the product will have 2+2 = 4 digits to the right of the decimal point. The correct placement is ...
54.5868
__
Another way to tell is that the product is in the neighborhood of 3·15 = 45, which is nowhere near 545 or 5458 or any higher value.
Answer: 54.5868
Since 3 x 15 is already 45, now we have to multiply the decimals, but we must put a point.
.54 x .42 = 9.5868
45 + 9.5868 = 54.5868.
Hope this helps!
which inequality statement describes the two numbers on a number line -7 and a number 12 units to the right of -7
Answers
Answer:2
Step-by-step explanation:
An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than allowed by environmental regulations. They measure water temperatures at the cooling system input and the cooling system output for several different days in several different seasons. A list containing these measurements is below:
Sample Input Temp (deg F) Output Temp (deg F)
1 57.6 65.1
2 68.9 74.4
3 68.1 74.7
4 47.7 55.4
5 48.1 51
6 67.2 71.9
7 69.9 79.2
8 48.1 57.2
9 35 41.4
10 56 61
11 44.3 50.8
12 65 70.5
13 48.3 56.9
14 54.9 61.7
15 60.4 67.3
Do a statistical analysis on this data to determine if the temperature change between the input and output of the cooling system is different than 6 degrees.
1. What does your analysis indicate?
a. The cooling system changes the temperature of the water by an amount different than 6 degrees.
b. The cooling system changes the temperature of the water by 6 degrees.
2. What is the P-Value associated with your decision above?
a. 0.001
b. 0.026
c. 0.049
d. 0.070
e. 0.110
f. 0.131
g. 0.148
h. 0.201
i. 0.278
j. 0.289
Answers
Answer:
1
The correct option is b
2
The correct option is h
Step-by-step explanation:
From the question we are told that
The sample size is n = 15
The difference in population proportion is [tex]d = 6[/tex]
Generally the sample mean of the input temperature is
[tex]\= x_1 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x_1 = \frac{57.6 + 68.9 + \cdots +60.4 }{15}[/tex]
=> [tex]\= x_1 = 62.57 [/tex]
Generally the sample mean of the output temperature is
[tex]\= x_2 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x_2 = \frac{65.1 + 74.4 + \cdots +67.3 }{15}[/tex]
=> [tex]\= x_2 = 55.97 [/tex]
Generally the difference of the sample mean of the input temperature and that of the output temperature is
[tex]\= d = \= x_1 - \= x_2[/tex]
=> [tex]\= d = 62.57 -55.97[/tex]
=> [tex]\= d = 6.6[/tex]
Generally the standard deviation is mathematically represented as
[tex]s_d = \sqrt{\frac{\sum(d_1 - \= d )^2}{n} }[/tex]
=> [tex]s_d = \sqrt{\frac{([57.6- 65.1]- 6.6)^2+ ([68.9 - 74.4]- 6.6)^2 + \cdots + ([60.4 - 67.3]- 6.6)^2 }{15} }[/tex]
=> [tex]s_d = 1.732 [/tex
Generally the test statistics is mathematically represented as
[tex]t = \frac{ d - \= d }{ \frac{s_d}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 6-6.6 }{ \frac{1.732}{\sqrt{15} } }[/tex]
=> [tex]t = 1.3417[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 15 - 1[/tex]
=> [tex]df = 14[/tex]
Generally the probability of t obtained from the t - distribution table at a degree of freedom of [tex]df = 14[/tex] is
[tex]P(t >1.3417 ) = 0.10052569[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(t > 1.3417)[/tex]
=> [tex]p-value = 2 * 0.10052569[/tex]
=> [tex]p-value = 0.201 [/tex]
From the values obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The cooling system changes the temperature of the water by 6 degrees.
Please help as soon as possible
Answers
Answer:
a. When you have two parallel lines cut by a transversal, angles 4 and 6 become same side interior angles, meaning they add to 180 degrees. Alex's mistake is that he thought angles 4 and 6 were corresponding angles, which are equal to each other (corresponding angles would be like angles 2 and 6. they are in the same place in relation to the transversal and the parallel lines. if you moved line l down, angle 2 would be on the same spot as angle 6, so they are corresponding angles).
b. angles 4 = 140 degrees
Step-by-step explanation:
a. Alex thought that angles 6 and 4 were corresponding angles, however, they are same side interior angles. Because two parallel lines are cut by a transversal, we can conclude that angles 4 and 6 are same side interior angles.
Same side interior angles are angles that add to 180, so you would do 180-40 to get angle 4. the measure of angle 4 would be 140 degrees (the answer to b).
6/7x - 8 = 7
i need to solve for the missing variable
Answers
Answer:
the answer would be 17.500
Answer:
x = 35/2
Step-by-step explanation:
add: (6/7)x = 8 + 7
(6/7)x = 15
multiply by the reciprocal
x = 15(7/6)
Simplify
x = 5(7/2)
multiply:
x = 35/2
Check:
(6/7)(35/2) -8 = 7
15 -8 = 7
Three times a number minus 5 plus the same number
Answers
Answer:
15
Step-by-step explanation:
Fill in a negative integer to make the statement true
Answers
Answer:
-2
Step-by-step explanation:
-2 or negative 1 will work , they're both more
Answer:
-2 or -1
because those are both greater than -3
Select all the expressions that have a value of 180 when b=4
Answers
Can you tell me if there are a word bank of answers and I can tell there are more then one answer so ima need more information
Which of the following describes the location of the opposite of the number that R represents on this line?
vertical number line from negative 6 to positive 6 in increments of 2 is shown. Only the whole even numbers are labeled. A point labeled R is placed onthe 6th tick mark below the 0.
At a distance of 6 tick marks below 0
At a distance of 6 tick marks above 0
At a distance of 12 tick marks below 0
At a distance of 12 tick marks above 0
PLEASE HELP I REALLY NEED IT
Answers
Answer:
B
Step-by-step explanation
Answer:
A
Step-by-step explanation:
Because on the number line it has the point 6 spots below the zero so it has to be A: At a distance 6 tick marks below 0
which one is the warmest and why please
Answers
Answer:
the warmest is wilmington
Step-by-step explanation:
it's 0 degrees and the other ones are lower so i mean it's common sense positives are greater than negatives
Answer:
Wilmington
Step-by-step explanation:
All the others are negative, but Wilmington is zero degrees which is non negative.
Are 18:3 and 6:1 equivalent radios?
Answers
Answer:
Yes
Step-by-step explanation
6:3 multiply by 3 is equal to 18:3
Answer:
Yes
Step-by-step explanation:
This is because 6x3 is 18 for the 18:3 and 1x3 is 3 in the 18:3. You can also think it this way, 18/3 and 6/1 if you divide both you get an answer of 6 so they both are the same meaning making them equivalent
When you were playing the integer game the first two cards that were selected were -8 and -10. What is the value in your hand?
Write an equation to justify your answer
what is the distance of the sum from -8
Answers
Answer:
The value in your hand is -18
let the value be x, then the equation is:
x = -8 + (-10)
x = - 8 - 10
x = - 10
the distance of the sum from -8 is the distance between -8 & -10, i.e -8 - (-10) = 2.
Write the equation of the line that passes through (-4,2) and (12,6)
Answers
Answer:
y=[tex]\frac{1}{4}[/tex]x+3
Explanation:
you have to use the formula y₂-y₁/x₁-x₂ in order to find your slope and what ever you get from that is your slope
Three times a number increased by one is between negative eight and seven find all the numbers.
All the numbers that makes the statement true are given by?
Please hurry this is on my exam
Answers
This is about absolute value inequalities.
The set of possible values of x that make the statement true are; x = {-2, -1, 0, 1}
Let the number in the question be x.We are told that when it is multiplied by 3 and 1 added to it, it is between - 8 and 7. This means it is greater than -8 but less than 7.
Thus;
3x + 1 > -8 - - - (eq 1)
3x + 1 < 7 - - - (eq 2)
Let's find range of x from eq 1;3x + 1 > -8
Subtract 1 from both sides to get;
3x > -9
x > -9/3
x > -3
Similarly, let's find the range of x from eq 2;3x + 1 < 7
Subtract 1 from both sides to get;
3x < 7 - 1
3x < 6
x < 6/3
x < 2
Thus, we can write that;
-3 < x < 2
Thus, the set of possible values of x are; x = {-2, -1, 0, 1}
Read more at; brainly.com/question/18119747
The function y=30x represents the distance in miles, y, a car travels after x hours.
Answers
Answer:
first option
Step-by-step explanation:
Answer:
A. The total distance the car travels in miles between hours 3 and 7.
Step-by-step explanation:
I took the test!
Suppose you have information about average heights of a random sample of airline passengers. The mode is 65 inches, the median is 72 inches, and the mean is 70 inches. To convert the data into centimeters, multiply each data value by 2.54. What are the values of the mode, median, and mean in centimeters?
Answers
Answer: mode = 165.10 cm, median = 182.88 cm, mean = 177.80 cm
Step-by-step explanation:
mode = 65*2.54 = 165.10 cm
median = 72*2.54 = 182.88 cm
mean = 70*2.54 = 177.80 cm
The values in cm are:
Mode = 162.56 cm
Median = 182.88 cm
Mean = 177.8 cm
Given,
The mode is 65 inches, the median is 72 inches, and the mean is 70 inches.
We need to convert the data into centimeters by multiplying each data value by 2.54 and find the values of the mode, median, and mean in centimeters.
How many cm in one inch?There is 2.54 cm in one inch.
Example:
If we want to find cm in 4 inches.
We just multiply 4 with 2.54 cm.
2.54 cm = 1 inch
4 x 2.54 cm = 4 x 1 inch
10.16 cm = 4 inches
We have,
We know that,
1 inch = 2.54 cm
Mode = 65 inches
1 inch = 2.54 cm
64 inches = 64 x 2.54 cm = 162.56 cm
Median = 72 inches
72 inches = 72 x 2.54 cm = 182.88 cm
Mean = 70 inches
70 inches = 70 x 2.54 cm = 177.8 cm
Thus the values in cm are:
Mode = 162.56 cm
Median = 182.88 cm
Mean = 177.8 cm
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2. Given the linear equation 2x + 3y = 9.
a.
Write the equation in the form y = mx + b.
Answers
Answer:
y = -2/3x + 3
Step-by-step explanation:
3y = -2x + 9
y = (-2x + 9)/3
y = -2/3x + 3
In Exercises 17–20, describe how to transform the graph of
f into the graph of g
Answers
Answer:
f(x) → -f(x)
Step-by-step explanation:
The pilot of an airplane flying at an elevation of 5000 feet sights two towers that are 300 feet apart. If the angle of depression to the tower closer to him is 30, determine the angle of depression to the second tower.
Answers
Answer: 29.2 degree
Step-by-step explanation:
Given data:
Elevation of the pilot = 50,000 feet
Elevation of the two towers = 300 feet apart.
Depression of closer tower = 30
Solution:
The angle of depression to the second tower is x
tanx = 5000/(5000*√(3)+300)
x=29.2
Therefore the angle of depression of the second tower is at 29.2 degree
Answer:
29.2°
Step-by-step explanation:
From diagram (b)
Tan θ= opp/adj
Where θ = 30°
opp = 5000ft
adj = ?
tan 30° = 5000/x
x tan30° = 5000
x = 5000/tan 30
x = 5000/0.577
x = 8665.5ft
From diagram c
tan θ = opp/adj
Where θ = ?
opp = 5000
adj = 300+x
x= 8665.5
tan θ = 5000/300+8665.5
tan θ = 5000/8965.5
tan θ = 0.55769
θ = arch tan 0.55769
θ = 29.147
θ= 29.2°
AME: Carmen estimates that she will spend $250 on new summer clothes. She actually spent $350. What is the percent error? Round to the nearest whole percent.
Answers
Answer:
71 %
Step-by-step explanation:
250/350 = 0.714285
71.4285 move decimal 2 places to the right
71 % rounded to whole percent
will made his mini pecan tarts for the southern themed school party he bought 20 pounds (320 ounces) of pecans for $78.40 he put 2 ounces of pecans in each pecan tart he made what was the cost of the pecans in each mini pecan tart
Answers
Answer:0.49$
Step-by-step explanation:
so now lets take a look. 320/2=160. 7840/160=49, so one pecan is 49 cents, or 0.49$
Cost of bowling if it is $3 per game and $5 for shoes. Find the linear equation.
Answers
Answer:
y=3x+5
Step-by-step explanation:
Depending on how many games he has played that number where the x is. So let’s say he plays two games so what you’re going to do is plug the two in for the X so then it would be 2×3 which is 6 then you would do 6+5 because you still have the 5 left and it says to add.
That should be right and follow me if this helps.
PLEASE!!
NEED HELP
ASAP
Answers
Answer:
set of all solutions
P.
9
Letters x, y, and z are angle measures. Which
equations would guarantee that lines p and q are
parallel? Check all that apply.
x= Z
O x + y = 180°
X+ z = 180°
y 2
Ox=y
z = 180°
Answers
Answer:
x = z
x + y = 180
Step-by-step explanation:
Evaluate:
-77 + (-46)
Answers
-77 + (-46 )
- 77 - 46 (+ × - = - )
-123
Answer:
-123
Step-by-step explanation:
This is the answer because:
1) First, multiply the negative sign with the positive sign.
Negative x Positive = Negative
Equation: -77 - 46
2) Now, multiply the negative sign with the negative sign.
Negative x Negative = Positive
Equation: 77 + 46 = 123
3) Finally, add the greater number's sign (-77) in front of the number.
-123
Hope this helps! :D
estimate the product choose the method 27 * 42
Answers
Answer:
About 1200
Step-by-step explanation:
I would round them to the nearest 10 so 27 would become 30 and 42 would be 40.
Then you would multiply to get the answer of about 1200.
Hope that helps and have a great day!
Solve for
-1/7x = -2
Answers
Answer: I hope this is correct -9
Step-by-step explanation: This is right
Which arrangement shows 27/5, 5.36, 5 3/5, 33/6 in order from least to greatest?
Answers
Answer:
5.36 < 27/5 < 33/6 < 5 3/5 or 5.36, 27/5, 33/6, 5 3/5
Step-by-step explanation: