Which is the equation in slope intercept form for the line that passes through (-2,4) and is parallel to 2x + y = 4
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Related Questions
A single , standard number cube is tossed. What is the probability of getting a 4 or 5 ?
1. 1
2. 1 / 5
3. 1 / 3
4. 1 / 6
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[tex] |\Omega|=6\\
|A|=2\\\\
P(A)=\dfrac{2}{6}=\dfrac{1}{3}\approx33\% [/tex]
picking a month of the year in the day of the week (fundamental counting principle)
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If you are picking a month, there are 12 options.
If you are selecting a day of the week, there are 7 options.
If you are doing both, you multiply the two numbers together.
12 x 7 = 84
Using the fundamental counting principle to pick a month of the year in the day of a week would give 84 combinations.
How to find the number of combinations ?
The Fundamental Counting Principle is a concept in combinatorics that helps you calculate the total number of possible outcomes when you have multiple independent choices or events.
Choices for the Month: There are 12 months in a year. So, you have 12 choices for the month.
Choices for the Day of the Week: There are 7 days in a week
To find the total number of possible combinations of a month and a day of the week, you simply multiply the number of choices for each event:
Total Number of Combinations = Number of Choices for Month x Number of Choices for Day of the Week
Total Number of Combinations = 12 months x 7 days
= 84 combinations
In conclusion, there are 84 different combinations of selecting a month of the year and a day of the week using the Fundamental Counting Principle.
If the mean of a symmetrical distribution is 42, which of these values could be the median of the distribution?
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Answer: 42
Answer:
42
Step-by-step explanation:
The median of a distribution is the exact center of the distribution, you start taking out numbers equally from the outside to the center, and eventually you will find the median, in a symmetrical distribution that means that there are the same number of values to the sides of the median, and the mean of a symmetrical distribution is always going to be equal to the median, so in this case the median and the mean would be the same, 42.
The coordinate plane represents a map. Each grid unit represents 20 miles. A retail company has a warehouse at N(40, 60). A store is located at P(40, −30). How long will it take a truck driving at 50 miles per hour to drive from warehouse N to this store?
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The truck will take 36 hours to travel from warehouse N to store P.
To calculate the time it will take for a truck to travel from warehouse N to store P, we need to first determine the distance between the two points in the coordinate plane. Since each grid unit represents 20 miles, we will use the coordinates of N(40, 60) and P(40, -30) to calculate the distance in grid units and then convert that into miles. The two points share the same x-coordinate, so the truck is only traveling in the north-south direction. By subtracting the y-coordinate of P from that of N, we find that the two points are 90 grid units apart in the y-direction (60 - (-30) = 90). After converting the grid units into miles by multiplying by 20, the total distance is 90
20 miles = 1800 miles.
The truck drives at a speed of 50 miles per hour, so we divide the total distance by the truck's speed to find the time it takes to travel from N to P:
1800 miles / 50 miles per hour = 36 hours.
For the equation, y= -x - 4, tell whether it’s graph passes through the first quadrant. Explain how you know.
A.) No; for x<0 the y-values are negative.
B.) Yes; for x>0 some y-values are positive.
C.) No; for x>0 the y-values are negative.
D.) Yes; for x<0 some y-values are positive.
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The graph of the equation y = -x - 4 does not pass through the first quadrant because for x < 0, the y-values are negative.
Explanation:The given equation is y = -x - 4. To determine whether its graph passes through the first quadrant, we need to assess the values for x and y. In the first quadrant, both x and y values are positive.
If we substitute any positive value for x into the equation, we will obtain a negative value for y. Therefore, the graph does not pass through the first quadrant. Hence, the correct answer is option A.
A dice is rolled and a marble is selected at random from a bag with 2 red marbles, 2 green marbles, 2 yellow marbles, 1 purple marble and 1 blue marble. Find the P(odd and not green).
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1/3 times 3/4
So, the answer is 3/12
Simplify: 1/4
Monica measures 91 milliliters of water into 9 tiny beakers. she measures an equal amount of water into the first 8 beakers. she pours the remaining water into the ninth beaker.It measures 19 milliliters. how many milliliters of water are in each of the first eight beakers
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91 ml - 19 ml = 72 ml.
The 72 ml are divided evenly between 8 beakers.
72/8 = 9 ml
There would be 9 ml of water in each of the first 8 beakers.
If a function is odd, then which statement is true?
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Side note: a function is even if f(-x) = f(x) for all x in the domain
Ken's cafe serves hot cocoa.each serving has 9 grams of chocolate.how many grams of chocolate are in 8 servings of hot cocoa?
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answer = 72 grams
convert: 7 tons 500 lb to lb
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Final answer:
7 tons and 500 pounds equals 14,500 pounds, which is calculated by converting tons to pounds and adding the additional pounds.
Explanation:
To convert 7 tons and 500 pounds to pounds only, follow these two steps:
Convert tons to pounds. Since 1 ton is equal to 2,000 pounds, you multiply the number of tons by 2,000. For 7 tons, it would be 7 × 2,000 = 14,000 pounds.
Add the additional pounds to the converted weight. So, you would add 500 pounds to 14,000 pounds, resulting in 14,500 pounds.
Therefore, 7 tons and 500 pounds is equivalent to 14,500 pounds.
-6 < -3; Divide both sides by -3
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a rectangular box has a volume of 480 cubic inches. The height of the box is 5 inches. The ratio of the length of the box to the width of the box is 3 to 2. What is the measure of the width of the box?
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take sqrt
W= 8
plug value of W
L=3W/2
L=3*8/2
L=12
L=12, W= 8 , H =5
CHECK
12*8*5= 480 cu.inches
the school cafeteria served 125.6 liters of milk on Monday and 5.34 more liters of milk on Tuesday than on monday.how many total liters of milk were served on Monday and Tuesday
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total = (125.6 L) + ((125.6 +5.34) L) = (2*125.6 +5.34) L
total = 256.54 L
Sharon is paving a rectangular concrete driveway on the side of her house. The area of the driveway is 5x^2 + 43x - 18, and the length of the driveway is x + 9.
Additionally, Sharon plans to install a carport over a small portion of the driveway. The volume that the carport can enclose is 48x^3 + 68x^2 - 8x - 3, and the area of driveway beneath the carport is 8x^2 + 10x - 3.
Determine the width of the entire driveway and height of the carport in terms of x. Replace the values of m and b to complete the expression that represents the width of the entire driveway on the first line, and then replace the values of m and b to complete the expression that represents the height of the carport on the second line.
You have to type the answer in mx+b
im just trying to graduate....
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The height of the carport is 6x+1.
We complete polynomial long division for both of these.
For the driveway:
Dividing 5x²+43x-18 by x+9, we first see how many times x will go into 5x². It goes in 5x times; we write this in the division problem above 43x. Multiplying back through,
5x(x+9) = 5x²+45x. This goes below 5x²+43x. We now subtract:
5x²+43x-(5x²+45x)= -2x; this goes below the 45x we wrote earlier. Bring down the -18.
Now we see how many times x goes into -2x; it goes -2 times. This goes beside our 5x in our answer at the top. Multiplying back through,
-2(x+9) = -2x-18. This goes below our -2x-18 we had, and gives us an answer of 5x-2 with a remainder of 0.
For the carport:
To divide 48x³+68x²-8x-3 by 8x²+10x-3, we see how many times 8x² will go into 48x³. It will go 6x times; write this above -8x. Multiplying back through,
6x(8x²+10x-3) = 48x³+60x²-18; write this below 48x³+68x²-8x. Now subtract:
48x³+68x²-8x-(48x³+60x²-18) = 8x²+10x; this goes below our 48x³+60x²-18. Bring down the -3.
Now we want to see how many times 8x² will go into 8x². It goes 1 time; write this beside our 6x at the top. Multiplying back through,
1(8x²+10x-3) = 8x²+10x-3; write this below the 8x²+10x-3 we have already down. When we subtract these, we get a remainder of 0, with our answer up top as 6x+1.
Answer:
Width: 5x-2
Height: 6x+1
Step-by-step explanation:
A bag contains 10 identical balls numbered from 1 to 10. What is the probability that a person reaches into the bag and randomly selects a ball with a number that is even?
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Help please i can’t figure this out
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to find the x-intercept: replace y with 0
x-int:
0 = 10x - 32
32 = 10x
x = 3.2
(3.2, 0)
y-int:
y = 10(0) - 32
y = -32
(0, -32)
Math Financial Literacy HELP
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Since her taxabnle income is at least 39,250 but less than 38300 her tax is 5944 but she paid 6155. 6155-5944=211
Your friend Zoe is very earnest about the benefits of her special diet. She believes that having kale for breakfast every day will lower your cholesterol.
4a. What's the best method for testing Zoe's claim: a survey, an observational study, or an experiment? Give at least one reason to support your answer. (4 points)
4b. Describe how you would set up a test to determine how much truth there is to Zoe's claims. In particular, what steps would you take to make sure the results were unbiased and valid?
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- The set up I would use is an observational study of a great number of people, over a long period of time, that have to have kale for breakfast every day, with a measurement of their cholesterol over the time. the great number and the long period of study assured that the variable subject of study is statistically represented in an optimal way.
7÷10p^3 ÷ 2÷ 8p^2 please help
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write and solve an inequality to represent the situation
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9.5 + 3.75e < 25
9.5 is for the necklace, 3.75e is for every earring, and 25 is the amount Dani wants to stay under. Make everything she spends less than, <, 25.
Can someone please help me with this.
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V4,3= 50.27
V2,12= 150.80
V3,10= 94.25
9. F is correct.
10. A= 4/3πr³
A=4/3(3.14)(7inch)³= 1436.03 inch³
11.
(w+7)+(-5)
w+(7-5)
(w+2)
So A is a correct simplification (w+2)
12. V=πr²h
V=(3.14)(8in)²(7inch)= 1406.72 inch³
Simplify the expression. (3.14×107)×(1.3×10−3)÷0.2
Scientific notation PLS!
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[tex]3.14 \times 107 = 335.98[/tex]
[tex](335.98) \times (1.3 \times 10 - 3) \div 0.2[/tex]
[tex]1.3 \times 10 = 13 - 3 = 10[/tex]
[tex](335.98) \times (10) \div 0.2[/tex]
[tex]335.98 \times 10 = 3359.8[/tex]
[tex]3359.8 \div 0.2 = 16799[/tex]
[tex]1.6799 \times {10}^{4} [/tex]
The diameter of a DVD is 12 centimeters. The hole in the center of a DVD has a diameter of 1.5 centimeters. Find the area of the DVD. Round to the nearest hundredth if necessary.
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The area of the circular DVD is given by A = 111.33 cm²
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the area of the circular DVD be A
Let the diameter of the DVD = 12 cm
So , the radius of the DVD = 6 cm
Now , the diameter of the hole = 1.5 cm
So , the radius of the hole = 0.75 cm
And , area of the circular DVD be A = π [ ( 6 )² - ( 0.75 )² ]
On simplifying , we get
The area of circular DVD is A = π ( 36 - 0.5625 )
The area of circular DVD is A = π ( 35.4375 )
The area of circular DVD is A = 111.33 cm²
Hence , the area of the circular DVD is 111.33 cm²
To learn more about circle click :
https://brainly.com/question/28391204
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which types of triangles can be formed by taking the cross section of a cube
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Hope this helps!!
Parker bought 4 times as many marbles as Molly.Cole bought 5 fewer marbles than Parker. If Molly bought p marbles how many did Cole buy?
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what's the radius of a circle with an area of 64 square feet?
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64 = [tex] \pi r ^{2} [/tex]
[tex] \frac{64}{ \pi } =r^2[/tex]
[tex]r= \frac{ \sqrt{64} }{ \sqrt{ \pi } } = \frac{8}{ \sqrt{ \pi } } [/tex]
If you want the denominator rationalized, the answer is [tex] \frac{8 \sqrt{ \pi } }{ \pi } [/tex]
A rhombus has diagonals 500 yd and 800 yd in length. Find the area in square miles.
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A = (1/2)×d₁×d₂
A = (1/2)×(500/1760)×(800/1760) mi²
A = 125/1936 mi²
A ≈ 0.0645661 mi²
Which of the values in the set {2, 3, 4, 5} is a solution to the equation 2x + 4 = 10?
A. 2
B. 3
C. 4
D. 5
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2(3)+4=10
6+4=10
10=10
Answer:
Your answer would be B!
Step-by-step explanation:
I took the test myself just now and got it right <3
Cindy has a jar of mixed nuts. There are two pecans, three peanuts, and one cashew in the jar. Cindy grabs two nuts and gives them to her friend, Paul, and he eats them. What is the probability of Paul eating a cashew and a pecan?
A. 1/18
B. 1/15
C. 2/11
D. 1/4
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Pedro’s Father is building a shed how many square feet of wood are needed
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For the rectangle A= lw
Use the formulas and add the answer you got for both formulas. Remember b stands for base, h stands for height, l stands for length, and w stands for width. When the when the “letters” are next to each other, like bh, that means to multiply.
The answer should be 2 _ _ ft squared
Try to figure out what the other two missing numbers are! The answer begins with 2, good luck!