Answer:
one point will be on (3,2) another on (5,3) and 1 more on (6,6)
Step-by-step explanation: not sure if this is 100% correct or not
7. Suppose that y varies inversely with x. Write an equation for the inverse variation,
y = 4 when x = 6
A
у
x =
2
B
х
y =
24
с
24
y =
OD y = 2x
Answer:
The answer is
\(y = \frac{24}{x} \)Step-by-step explanation:
The statement
y varies inversely with x is written as
\(y = \frac{k}{x} \)
where k is the constant of proportionality
To find k substitute the values of x and y into the equation
From the question
y = 4
x = 6
We have
\(4 = \frac{k}{6} \)
Cross multiply
k = 4 × 6
k = 24
So the formula for the variation is
\(y = \frac{24}{x} \)Hope this helps you
Answer: 5
Step-by-step explanation:
Michelle received notice from her bank that her account balance was minus $ 12. She then went to the bank and deposited her paycheck. The account balance after the deposit is $366. Which expression can be used to find how much money Michelle deposited?
Answer:
[366]+[-12]
Step-by-step explanation:
that will be the answer
If M is the midpoint of PQ and X is the midpoint of PM then PX = a PQ
Answer:
found this i think this should help with your question
Step-by-step explanation:
The graph shows a 6-sided polygon on the coordinate plane. The polygon has k = 1.5. In the spaces below, enter the coordinates of B’ and C’.
Answer:
\(B' = (-3,-3)\)
\(C' = (-4.5,-7.5)\)
Step-by-step explanation:
Given
\(k = 1.5\)
\(B = (-2,2)\)
\(C =(-3,-5)\)
Required
B' and C'
This is calculated as;
\(B' = k * B\)
\(B' = 1.5 * (-2,-2)\)
\(B' = (-3,-3)\)
and
\(C' =k * C\)
\(C' = 1.5 * (-3,-5)\)
\(C' = (-4.5,-7.5)\)
Select the correct answer from each drop-down menu. Consider the equation below. − 2 ( 5 x + 8 ) = 14 + 6 x The equation was solved using the following steps. Step 1: − 10 x − 16 = 14 + 6 x Step 2: − 16 x − 16 = 14 Step 3: − 16 x = 30 Step 4: x = 30 − 16 Step 5: x = − 15 8 Complete the statements below with the process used to achieve steps 1-4. Step 1: -2 to 5x and 8. Step 2: 6x. Step 3: 16. Step 4: -16.
Answer:
x = -1.875
Step-by-step explanation:
-2 (5x + 8) = 14 + 6x
-10x - 16 = 14 + 6x
-16x = 30
x = 30/-16
x = -1.875
Sam needs to fill a cylindrical container with punch. The container has
a radius of 11 inches and a height of 18 inches. How much punch can
Sam fit into the container?
Volume of the cylinder = 6838.92 cubic inches
We have to given that;
Sam needs to fill a cylindrical container with punch.
And, The container has a radius of 11 inches and a height of 18 inches.
Since, To determine the amount of cat litter the cylinder can hold, we need to calculate the volume of the cylinder.
Volume of a cylinder = πr²h
Where,
r=radius
h= height
Then,
π=22/7 or 3.14 (constant value)
r=11 inches
h=18 inches
Volume of a cylinder is,
= 3.14 × (11)² × 18
= 6838.92 cubic inches
Hence, Volume of the cylinder = 6838.92 cubic inches
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Explain how to find the area and perimeter of the following triangles: A (-6, -1) B(-3, 3) C(5, -3)
Area: 11.18 sq units
Perimeter: 26.18 units
To find the area and perimeter of the triangle with vertices A(-6, -1), B(-3, 3), and C(5, -3), follow these steps:
1. Find the lengths of the sides:
- Side AB: Calculate the distance between points A and B using the distance formula: AB = √[(x₂ - x₁)² + (y₂ - y₁)²]
Substitute the coordinates: AB = √[(-3 - (-6))² + (3 - (-1))²] = √[3² + 4²] = √(9 + 16) = √25 = 5 units
- Side BC: Calculate the distance between points B and C using the distance formula: BC = √[(x₂ - x₁)² + (y₂ - y₁)²]
Substitute the coordinates: BC = √[(5 - (-3))² + (-3 - 3)²] = √[8² + (-6)²] = √(64 + 36) = √100 = 10 units
- Side CA: Calculate the distance between points C and A using the distance formula: CA = √[(x₂ - x₁)² + (y₂ - y₁)²]
Substitute the coordinates: CA = √[(-6 - 5)² + (-1 - (-3))²] = √[(-11)² + 2²] = √(121 + 4) = √125 = 11.18 units
2. Calculate the perimeter:
Perimeter = AB + BC + CA = 5 + 10 + 11.18 = 26.18 units
3. Find the area using the Shoelace Formula:
Area = 0.5 * |(x₁y₂ + x₂y₃ + x₃y₁) - (x₂y₁ + x₃y₂ + x₁y₃)|
Substitute the coordinates: Area = 0.5 * |(-6 * 3 + (-3) * (-3) + 5 * (-1)) - (-3 * (-1) + 5 * 3 + (-6) * (-3))|
Simplify: Area = 0.5 * |(-18 + 9 - 5) - (3 + 15 + 18)|
= 0.5 * |-14 - 36|
= 0.5 * |-50|
= 0.5 * 50
= 25 sq units
Therefore, the area of the triangle is 25 square units and the perimeter is 26.18 units.
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What can Slope be???????
Answer:
Slope = -5
Step-by-step explanation:
(x,y) ⇒ (13,11), (14,6), (15,1), (16,-4)
Pick any two points:
(x₁, y₁) and (x₂, y₂) ⇒ (15, 1) and (16, -4)
Use the slope formula:
⇒ y₂ - y₁/x₂ - x₁
⇒ -4 - 1/16 - 15
⇒ -5/1 = -5
Thus, the slope is -5.
I NEES HELP STATISTICS
A babysitter charges a rate of $15 per hour. how long was the babysitter there if she makes $5
Answer:
20 mins.
Step-by-step explanation:
A babysitter charges a rate of $15 per hour. How long was the babysitter there if she makes $5?
x = hours she babysat
Equation:
15x = 5
Divide to isolate x:
15x = 5
/15 /15
x = 1/3 hrs.
Now, we convert into minutes, since she didn't work for a whole hour, to earn the $15
We know that there are 60 mins. in an hour
60 * 1/3
60/3
20 mins.
Therefore, the babysitter was there for 20 mins.
Hope this helps!
What is the length of the bedroom.
Answer:
\(10\sqrt{3}\)
Step-by-step explanation:
The length of the bedroom would be \(4\sqrt{3}+ 6\sqrt{3}\) which would equal \(10\sqrt{3}\) because when 2 numbers have the same radical, you just add the number in front.
Answer:
14.69ft by 17.31 ft
Step-by-step explanation:
If you do 6 to the square root of 6 then you get 14.69 then you do the same for the other two and get 10.39 and 6.92 then you add those two new numbers up and get 17.31
A bag contains 10 coloured balls. 5 of them are red and 3 of them are blue. A ball is taken from the bag at random, then replaced. A second ball is then selected at random. Find the probability that the first ball is red and the second ball is blue.
The probability that the first ball drawn is red and the second ball drawn is blue is 3/20.
The probability that the first ball drawn is red and the second ball drawn is blue, we need to multiply the probability of drawing a red ball on the first draw by the probability of drawing a blue ball on the second draw.
Given that there are 10 balls in total, with 5 red balls and 3 blue balls, the probability of drawing a red ball on the first draw is 5/10 = 1/2.
Since the ball is replaced after the first draw, the total number of balls remains the same for the second draw.
The probability of drawing a blue ball on the second draw is also 3/10.
To find the probability of both events occurring (the first ball being red and the second ball being blue), we multiply the probabilities:
Probability = (Probability of drawing a red ball) × (Probability of drawing a blue ball)
= (1/2) × (3/10)
= 3/20
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What is the northerly Component of a wind blowing at 15ms from the South East?
The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.
To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.
A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.
To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.
If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.
The northerly component can be found using the sine of the angle:
Northerly Component = Wind Speed * sin(Angle)
Northerly Component = 15 m/s * sin(45°)
Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:
Northerly Component ≈ 15 m/s * 0.707
Northerly Component ≈ 10.605 m/s
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The spinner below shows
5 equally sized slices. Yolanda spun the dial
20 times and got the following results. (a) Assuming that the spinner is fair, compute the theoretical probability of landing on grey. (b) From Yolanda's results, compute the experimental probability of landing on grey. (c) Assuming that the spinner is fair, choose the statement below that is true:
As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.
As the number of spins increases, we expect the experimental and theoretical probabilities to become farther apart.
The experimental and theoretical probabilities must always be equal.
A) there are 5 slices and 2 of them are grey.
The theoretical probability to land on grey would be the number of grey slices over the total number of slices: 2/5
B) the experimental probability would be the number of times the spinner landed in grey over the number of times the spinner was spun. From the table the spinner landed on grey 11 times and was spun 20 times. The experimental probability is 11/20
C) not all the answer choices are shown.
But the experimental and theoretical probabilities would most likely be different.
Answer:
From Yolanda's result, compute the experimental porbability of landing on grey
Step-by-step explanation:
The number of points that Shira scored each basketball game so far this season is shown on the dot plot. A number line going from 1 to 13. 2 dots are above 2. 1 dot is above 3. 1 dot is above 5. 2 dots are above 7. 3 dots are above 9. 6 dots are above 11. 1 dot is above 12. Which statement must be true according to the dot plot?
The according to the dot plot, the true statement is: the data is left-skewed and shows Shira never scored fewer than 2 points or more than 12 points in a game
What is Left-Skewed Data Distribution?A data distribution that is left-skewed is negatively skewed. This means that the long tail goes in the negative direction of the number line, with most of the values being concentrated on the right side.
The dot plot given is left-skewed, which means it is negatively-skewed.
Therefore, the according to the dot plot, the true statement is:
The data is left-skewed and shows Shira never scored fewer than 2 points or more than 12 points in a game
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Answer:
c
The data is skewed to the left and shows that she never scored fewer than 2 points or more than 12 points in a game.
Step-by-step explanation:
swag
You have $9000 with which to build a rectangular enclosure with fencing. The fencing material costs $30 per meter. You also want to have two partitions across the width of the enclosure, so that there will be three separated spaces in the enclosure. The material for the partitions costs $25 per meter. What is the maximum area you can achieve for the enclosure
Answer:i explained it
Step-by-step explanation:
The total cost of the fence will be 30(2L + 2W) + 2*25 W <= 9000
60L + 110W <= 9000
60 L <= 9000 - 110W
L <= 150 - 11/6 W
For a given width, the maximum area will correspond to the maximum length, so we can just go ahead and say L = 150 - 11/6 W
A = LW = (150 - 11/6 W) W
A = 150 W - 11/6 W2
A' = 150 - 11/3 W = 0
150 = 11/3 W
W = 450/11
Graph the equation.
y
=
−
4
(
x
+
2
)
2
−
1
y=−4(x+2)
2
−
Answer:
see instructions
Step-by-step explanation:
1. (x + 2) = 0 gives us x = -2 = x coordinate of vertex; and
the -1 at the end gives us the y coordinate.
Move the vertex of the parabola to the point (-2,-1)
2. The -4 in front of the (x+2)² gives the direction and stretch of the parabola. FROM the Vertex, position the other point Down 4 and Right 1 (at (1,-5)).
Joyce wants to buy a computer that has a price of $2500, and she decides to pay for it
with installments over 5 years. If the interest rate is 15 %, what is the monthly payment?
Answer:
1875$ in interest
Step-by-step explanation:
15%x5=75%
75%of 2,500 is 1875$.
so altogether, it's 4,375$ for the entire computer.
What is 20 yards to meters? pls tell me how you got the answer
Answer:
the answer is 18.288
Step-by-step explanation:
meters=yards X 0.9144
so you do 20 X 0.9144
and you type that into the calculator and you will get 18.288
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of y plus StartFraction one-half EndFraction equals 3 left-parenthesis x minus 2 right-parenthesis.?
y + 2 =y plus 2 equals StartFraction one-third EndFraction left-parenthesis x plus 3 right-parenthesis.(x + 3)
y – 2 = y minus 2 equals StartFraction one-third EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
y + 3 = y plus 3 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)
y – 3 = y plus StartFraction one-half EndFraction equals 2 left-parenthesis x minus 3 right-parenthesis.(x – 2)
The equation that shows the point-slope form of the line passing through (3, 2) with a slope of (1/2) is:
y - 2 = (1/2)(x - 3)
In the point-slope form of a linear equation, the formula is y - y1 = m(x - x1), where (x1, y1) represents a point on the line, and m represents the slope of the line. By substituting the given values into the formula, we can determine the correct equation.
In this case, the given point is (3, 2) and the slope is (1/2). Plugging these values into the formula, we get:
y - 2 = (1/2)(x - 3)
This equation represents the line passing through the point (3, 2) with a slope of (1/2). It is in the point-slope form, which allows us to easily determine the equation of a line based on a given point and slope.
Therefore, the correct equation is y - 2 = (1/2)(x - 3).
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Answer: B
Step-by-step explanation:
Helppp pleasee!!
In your own words, write a definition for sales tax.
2) If you buy a meal from a restaurant that costs $15.00, and the tax is 7%, how much do you pay in taxes?
- Explain in detail, the steps you would take to solve this sales tax question.
The value of the tax for the meal is $1.05.
What Is a Sales Tax?The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.
Depending on the regulations in that country, a business may be responsible for sales taxes in that jurisdiction if it has a presence there, which can be a physical site, an employee, or an associate.
Given the cost of the meal = $15.00
and rate of tax = 7%
converting the rate of tax into decimal form,
rate of tax = 7% = 7/100
rate of tax = 0.07
amount of tax = cost x rate of tax
amount of tax = 15 x 0.07
amount of tax = $1.05
Hence the amount of tax is $1.05.
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State the domain and range and determine if it's a function?
Answer:
The domain is the set of all "x" values and the range is set of all "y" values in a set of ordered pairs. ... If each x-value corresponds with only one y-value, then the relation is a function.-by-step explanation:
y = f(x) = 5x
find f(x) when x = 3
The value of f(x) when x is 3 is 15
What is function?A Function in mathematics is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
For example, if f(x) = x² +2x +5 , the value of f(x) when x is 2 is calculated as;
f(x) = 2² + 2(2) + 5
f(x) = 4 +4+5
= 13
This done by substituting the given value of x into the expression.
Similarly , if f(x) = 5x, the value of f(x) when x is 3 is calculated as;
f(x) = 5(3)
f(x) = 15
therefore the value of f(x) when x is 3 is 15
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You randomly draw a marble from a bag of marbles that contains 888 blue marbles, 555 green marbles, and 888 red marbles.
Answer:
whats the question?
Step-by-step explanation:
y=7 3(2y+5)+6(3+y-14)
Answer:
3(2×7+5)+6(3+7-14)
=3(14+5)+6(10-14)
=3(19)+6(-4)
=57+(-24)
=57-24
=33
See attached photo below to answer question
Answer:
Step-by-step explanation:
!od
7x=96
what is - 1/4 + 6 pls i need help
Answer:
Exact Form: 23/4
Decimal Form: 5.75
Mixed Number Form: 5 3/4
Step-by-step explanation:
Hope this helps! <3
Find the lowest common denominator.
1 1 2
----------- , ------------ , -------------
(x+2)2 (x-2)2 x2-4
The LCD of 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) is (x+2)^2(x-2)^2(x+2)(x-2) = (x+2)^3(x-2)^3.
To find the lowest common denominator (LCD) of three fractions, we need to identify the factors of each denominator and select those factors that are common to all denominators.The given fractions are: 1/ (x+2)^2, 3/ (x-2)^2, and 4/ (x^2-4).
The first denominator (x+2)^2 can be factored using the formula for the difference of two squares. The denominator of 3/(x-2)^2 can also be factored using the formula for the difference of two squares.
Finally, the denominator of 4/(x^2-4) can be factored using the formula for the difference of two squares and the formula for the sum of two squares.
So, 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) can be rewritten as follows:1/ (x+2)^2 = A/(x+2) + B/(x+2)^2. Multiplying both sides by (x+2)^2 gives:1 = A(x+2) + B ... (1)3/ (x-2)^2 = C/(x-2) + D/(x-2)^2.
Multiplying both sides by (x-2)^2 gives:3 = C(x-2) + D ... (2)4/ (x^2-4) = E/(x-2) + F/(x+2). Multiplying both sides by (x^2-4) gives:4 = E(x-2)(x+2) + F(x+2)(x-2) ... (3)
Now, we need to solve these equations for A, B, C, D, E, and F. First, we will solve equation (1) for A and B by substituting x = -2, which gives A = -1/4. Then we will substitute x = -2 again and solve for B, which gives B = 1/4. Next, we will solve equation (2) for C and D by substituting x = 2, which gives C = 3/4.
Then we will substitute x = 2 again and solve for D, which gives D = -3/4. Finally, we will solve equation (3) for E and F by substituting x = 2 and x = -2, which gives E = 1/2 and F = 1/2.
Now, we have A = -1/4, B = 1/4, C = 3/4, D = -3/4, E = 1/2, and F = 1/2. The LCD is the product of all the factors that appear in the denominators of the fractions, each raised to the highest power that appears.
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what is h(5)=-5²+3×5
Answer:
the answer will be -10.
Help help please math math please
Answer:
n = 6
Step-by-step explanation:
6÷4 = 9÷n
6n = 9*4
6n = 36
n = 6