Using proportions, it is found that the coordinates of the other end of the fence are (-1,-7) when the start point is (8, 5) and the mid point is (3.5, -1).
A proportion refers to the fraction of the total amount, and the measures are related using a rule of three.
The midpoint of a segment refer to the mean of the coordinates of the endpoints, so we get that:
3.5 = (x + 8) / 2
x + 8 = 7
x = 7 - 8
x = - 1
-1 = (y + 5) / 2
y + 5 = -2
y = -2 - 5
y = - 7.
End point =- (-1, -7)
Therefore, using proportions, it is found that the coordinates of the other end of the fence are (-1,-7) when the start point is (8, 5) and the mid point is (3.5, -1).
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Select the expression that is equivalent to the given expression: 3(x + 2) - x
A: 5x + 6
B: 2x + 6
C: 2x + 2
D: 9
Answer:
B
Step-by-step explanation:
if you simply 3(x+2)-x, you get 2x+6.
it is not 3x+6 because x already equals 1. 2x+6=2x+6
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3+
2十
1
2
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2
3
4
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3.
-4.
What is the slope of the line?
Answer:
\(\huge\boxed{\sf Slope = \frac{-4}{5} }\)
Step-by-step explanation:
Pick up any 2 coordinates of the line.
The coordinates are (-3,1) and (2,-3)
\(\sf Slope = \frac{rise}{run} \\\\Slope = \frac{y2-y1}{x2-x1} \\\\Slope = \frac{-3-1}{2+3} \\\\\bold{Slope = \frac{-4}{5} }\)
Hope this helped!
~AnonymousHelper1807
Answer:
-4/5
Step-by-step explanation:
Pick two points on the line
(2,-3) and (-3,1)
Using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 1--3)/(-3-2)
= (1+3)/(-3-2)
= 4/-5
= -4/5
Help meeeeeee plesssss
Assume 1 dozen oranges has a mass of 1.5 kg and that there are 14 orange slices in each orange. How many slices are in 6 kg of oranges
Answer:
672
Step-by-step expl
The total number of slices in 6 kg oranges will be equal to 672 slices.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given information in the question,
1 dozen = 1.5 kg
Then, in 6 kg there will be how many dozens,
Let there be x dozens in 6 kg.
x = 6/1.5
x = 4 dozen.
One dozen oranges = 12 oranges.
So, the number of oranges in 4 dozens = 12 × 4 = 48 oranges.
1 orange = 14 slices
Then, 48 orange = 48 × 14 = 672 slices.
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Determine whether the following statement is true or false. If false, provide a counterexample. If two events are independent, then the probability of both events is less than 1
Answer:
TRue
Step-by-step explanation:
What is the total amount of outcomes possible when a coin is tossed four times and a card if selected from a standard deck of cards.
Answer:
About 60 pecent
Step-by-step explanation:
Answer: 832 possible outcomes
To find the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards, we need to multiply the number of outcomes for each event.
The number of outcomes for a coin toss is 2 (heads or tails), and we toss the coin 4 times. Therefore, the number of outcomes for the coin tosses is:
2 x 2 x 2 x 2 = 16
The number of outcomes when selecting a card from a standard deck of cards is 52. Therefore, the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards is:
16 x 52 = 832
So there are 832 possible outcomes when a coin is tossed four times and a card is selected from a standard deck of cards.
100 Points! Algebra question. Graph the function. Photo attached. Thank you!
The cost of each pound of grass seed is $6.
A graph of the solution for the cost of each pound of grass seed is shown below.
How to determine the cost of each pound of grass seed?In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.
Let the variable x represent the cost of each pound of grass seed.
Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;
3.6x + 1.30 = 22.90
3.6x = 22.90 - 1.30
3.6x = 21.60
x = 21.60/3.6
x = $6.
In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.
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Kiley had a piece of bamboo skewer that measured 14 inches long. She wanted to cut it into toothpicks that were each 3 inches long. How many toothpicks can she make?
4 toothpicks
5 toothpicks
46 toothpicks
47 toothpicks
Answer:
4 toothpicks
Step-by-step explanation:
14 / 3 = 4.66666
Tootpicks can't be rounded up so it'll just be 4
identify the initial amount a and growth/decay factor b.
y= -2(.5)^x
In the equation \(y = -2(0.5)^x\), the initial amount (a) is -2, and the growth/decay factor (b) is 0.5.
In the given equation, \(y = -2(0.5)^x\), we can identify the initial amount and the growth/decay factor.
The equation is in the form of exponential decay, as the base (0.5) is between 0 and 1, resulting in the function decreasing as x increases.
The initial amount, denoted as "a," is the coefficient in front of the exponential term. In this case, the initial amount is -2. This means that when x = 0, y = -2.
The growth/decay factor, denoted as "b," is the base of the exponential term. In this equation, the base is 0.5. The value of the base determines how quickly the function decreases or decays.
To summarize:
Initial amount (a) = -2
Growth/decay factor (b) = 0.5
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Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
The true statements are
The value of f(–10) = 82
The graph of the function is a parabola.
The graph contains the point (20, –8).
What is a Parabola:A parabola is a type of conic section that is formed when a plane intersects a cone in such a way that the angle between the plane and the vertical axis of the cone is equal to the angle between the plane and a generator (a straight line passing through the vertex and the base of the cone).
The resulting shape is a symmetrical, U-shaped curve. The standard form of the parabola is a quadratic function.
Here we have
The quadratic function f(x) = x²/5 – 5x + 12
Now check each option as follows
1. The value of f(–10) = 82
To check this find f(-10) as follows
f(-10) =1/5 (-10)²– 5(-10) + 12 = 20 + 50 + 12 = 82
Hence, The value of f(–10) is equal to 82
2. The graph of the function is a parabola.
As we know the standard equation of a parabola is a quadratic function that is in the form of ax² + bx + c
Hence, the quadratic function represents a parabola
3. The graph of the function opens down.
In the given function f(x) = x²– 5x + 12, the coefficient of the x² term is 1. Since the coefficient of x² is positive, the parabola opens upwards.
Hence, The graph of the function opens down is false
4. The graph contains the point (20, –8).
To check this substitute the point in f(x)
=> –8 = 1/5(20)²– 5(20) + 12
=> –8 = 80 – 100 + 12
=> –8 = –8 [ Which is true ]
Hence, The graph contains the point (20, –8).
5. The graph contains the point (0, 0).
=> 0 = (0)²– 5(0) + 12
=> 0 = 12 [ which is not true ]
Hence, The graph doesn't contain the point (0, 0).
Therefore,
The true statements are
The value of f(–10) = 82
The graph of the function is a parabola.
The graph contains the point (20, –8).
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if c and d vary inversely, and d=5/3 and c=5. write a function that models inverse variation and find d when c=10
Answer:
xy = k
solve for k...
(8) * (8/3) = (64/3) = k
y = k / x
when x = 4,
y = (64/3) * (1/4) = (16/3)
Step-by-step explanation:i g o o g l e it
Fill in the blanks below with the correct units. (a) Carmen saw an elephant at the zoo. The elephant's mass was about 5000 ? . (b) Deandre drank about 300 ? of juice with lunch. (c) Martina's family went on a hike that was about 9 ? .
Answer:
a. 5000 kg
b. 300 ml
c. 9 hours
Which set of values could be the side length of a 30 60 90 triangle? A. {5,5v3,10}
Therefore, the answer is A. {5, 5√3, 10}.
The set of values {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.
In a 30-60-90 triangle, the sides are in a specific ratio. The ratio is 1 : √3 : 2, where the shortest side (opposite the 30-degree angle) has length x, the side opposite the 60-degree angle has length x√3, and the hypotenuse (opposite the 90-degree angle) has length 2x.
Let's check if the given set of values satisfies this ratio:
If x= 5, then the side opposite the 60-degree angle should be 5√3, and the hypotenuse should be 10. These values match the ratio, so the set {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.
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help please :(
57%=
Answer:
57 centimeters = 57 × 0.39370078740175 = 22.4409448819 inches.
57 inches is 144.78 centimeters.
How can I solve this? Thank you in advance!!
One number is randomly selected from {1, 2, 3, 4, 5, 6, 7, 8, 9}. Find the probability that the selected number is an odd number or a multiple of 3.
Answer:
The probability that the selected number is an odd number or a multiple of 3 is 6/9, or 2/3. This is because there are 6 numbers that meet the criteria out of the 9 numbers in the set: 1, 3, 5, 7, 9, and 3.
exponential function passes through (1,10) and (4,80)
Answer: f(x)=2^x+5
Step-by-step explanation:
math
What is the perimeter of the shape below
Answer:
Show the shape.
Step-by-step explanation:
Answer:
You didn't attach any work.
I need help for this
Answer:
1
Step-by-step explanation:
To find the slope take two points on the line
(-1,0) and (0,1)
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 1-0)/(0- -1)
= (1-0)/(0+1)
= 1/1
= 1
How many faces does the following shape have?
Answer:
5
Step-by-step explanation:
the back ones 2
the front ones 2
and the bottom one 1
5
Please find the linear function that best fits problem 11
SOLUTION
A linear function is having the form
\(\begin{gathered} y=ax+b \\ \text{where } \\ a=\text{slope, b=y-intercept } \end{gathered}\)\(\begin{gathered} \text{when x=o, y=}1 \\ \text{substitute into the equation } \\ y=ax+b \\ 1=a(0)+b \\ \text{Hence } \\ b=1 \end{gathered}\)Similarly, when x=-2, y=-5
Substitute into the equation for a linear function
\(\begin{gathered} y=ax+b \\ -5=a(-2)+1 \\ -5=-2a+1 \\ \text{subtract 1 from both sides } \\ -5-1=-2a \\ -6=-2a \end{gathered}\)\(\begin{gathered} \text{divide both sides by -2} \\ -\frac{6}{-2}=-\frac{2a}{-2} \\ \text{Then} \\ a=3 \end{gathered}\)Hence
\(\begin{gathered} a=3,\text{ b=1} \\ \end{gathered}\)The linear function becomes
Y = 3x + 1
Find sin theta and cos theta
Answer:
\( \sqrt{ {5}^{2} + {1}^{2} } = \sqrt{25 + 1} = \sqrt{26} \)
sin theta = 5/√26 = (5√26)/26 = (5/26)√26
cos theta = 1/√26 = (√26)/26 = (1/26)√26
Find the solutions of the quadratic equation –9x2 + 49 = 0.
Answer:
x=49/18
Step-by-step explanation:
Which describes the correlation shown in the scatterplot? PLS HURRY
So on solving the provided question given scatter plot shows a negative correlation so correct option is (b).
What is a scatter plot?The values for two different numerical variables are represented by dots in a scatter plot. Each dot's location on the horizontal and vertical axes represents a data point's values. To view relationships between variables, employ scatter plots.
The options given are the following:
A)There is a positive correlation in the data set.
B)There is a negative correlation in the data set.
C)There is no correlation in the data set.
D)More points are needed to determine the correlation.
Positive correlation
We say there is a positive correlation between the variables when the y variable tends to rise when the x variable rises.
Negative correlation
We say there is a negative correlation between the variables when the y variable tends to decrease as the x variable increases.
No correlation
We claim there is no correlation between the two variables when there is no obvious connection between them.
From observing the given graph, we can see that as x value increases, the y value decreases.
So the correlation shown in the scatter plot is a negative correlation.
Therefore the correct option is option(B).
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c. Add two cube numbers and
one square
number.
Answer:
Step-by-step explanation:
Add two cube numbers and
one square
number.
What is the value of y?
3
4
5
6
Answer:
y = 3
Step-by-step explanation:
2y + 4 = 10
2y = 6
y = 3
Answer:
Its A- 3
Step-by-step explanation:
I did the quiz
Los puntos A(13, a) y B (4,b) pertenecen a una parábola de vértice V (h, 1) Además el eje focal es paralelo al eje de las abscisas ,su parámetro es p y A, B están
contenidos en la recta 2x - y - 13 = 0. Hallar a" + bP.
The points on a parabola with the focal axis parallel to the abscissa axis, of parameter p and A, B is -12.
How to calculate parameters?Since A and B are points on the parabola, write two equations using the general form of the parabolic equation:
(x - h)² = 4p(y - 1)
The focal axis is parallel to the x-axis, so the distance from the vertex to the focus is equal to p. Therefore, use the distance formula to write an equation for the distance between the vertex and point A:
√((13 - h)² + (a - 1)²) = p
Similarly, write an equation for the distance between the vertex and point B:
√((4 - h)² + (b - 1)²) = p
A and B lie on the line 2x - y - 13 = 0, so substitute the x and y coordinates of A and B into this equation and solve for a and b:
2(13) - a - 13 = 0
2(4) - b - 13 = 0
Solving these equations gives us a = 3 and b = -5.
Now three equations and three unknowns (a, b, and h):
√((13 - h)² + 4) = p + 1
√((4 - h)² + 36) = p + 1
2h - 3 - 13 = 0
The third equation simplifies to 2h = 16, or h = 8.
Substituting this value of h into the first two equations and squaring both sides:
(13 - 8)² + 4 = (p + 1)²
(4 - 8)² + 36 = (p + 1)²
Simplifying these equations and solving for p gives us p = 3.
Finally, find a" + bP by substituting the values found for a, b, and p:
a" + bP = 3 + (-5)(3) = -12
Therefore, the solution is a" + bP = -12.
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a company pays its employees and average hourly wage of 36.25 with a standard deviation of 6.50 more than 23.22 of 36 employees are randomly selected, what is the probability that their mean wage is more than 23.22
Answer:
P [ X > 23,22 ] = 0,8798 or P [ X > 23,22 ] = 87,98 %
Step-by-step explanation:
P [ X > 23,22 ] = 1 - P [X ≤ 23,22 ]
P [X ≤ 23,22 ] = ( X - μ₀ ) / σ /√n
P [X ≤ 23,22 ] = ( 23,22 - 36,25 )/ 6,50/√36
P [X ≤ 23,22 ] = - 13,03 *6 / 6,50
P [X ≤ 23,22 ] = - 12,02 or P [X ≤ 23,22 ] = 12,02 %
(note the - sign only mean that values on the left tail of the bell shape curve)
Then
P [ X > 23,22 ] = 1 - 0,1202
P [ X > 23,22 ] = 0,8798 or P [ X > 23,22 ] = 87,98 %
A bakery sells mocha cupcakes and chocolate cupcakes. It sold 300 cupcakes in a day, and 39% of them were chocolate. How many of the cupcakes sold that day were mocha?
3 ratios that are equivalent to 15/40
Answer:
3.8 ,6.16 , 9.24
Step-by-step explanation:
jay Jenkins takes out a 11.0% simple interest loan today that will be repaid 3 months from now with a payoff amount $8000.00. what amount is jay borrowing?