Answer:
2200
Step-by-step explanation:
3)
TRUE / FALSE:
The greatest common factor of the terms 12x5 and 36x3 and 66x” is 6x3
4)
TRUE / FALSE:
We know that parabola formed by the quadratic equation y = -3x2 – 7x + 1 will open
down because the coefficient – 7 is less than 0.
Answer:
3) False4) FalseStep-by-step explanation:
3) Because 12x5=60, and 18 DOES NOT go into 60 evenly.
60/18= 3.33 -> Not a whole number
4) Because the -7 is not what determines the parabola to be up or down. If it were a +7 instead of -7, it still would make the parabola open down.
-THE ONLY WAY the parabola would open up... is if you change the -3x^2 into a positive (3x^2)
triangle town wants to build a school that is equidistant from its three cities L,M, and N. Which construction correctly finds the best location of the school? A. Construction Y because point E is the incenter of triangleLMN B. Construction Y because point E is the circumcenter of triangleLMN C. Construction X because point C is the incenter of triangleLMN D. Construction X because point C is the circumcenter of triangleLMN
Answer:
C. Construction X because point C is the incenter of triangle LMN.
Step-by-step explanation:
The construction requires that the school must be at equal distance to cities of the triangle town. Thus, it must be located at the point of intersection of the straight path from the three cities L, M, and N.
To be able to construct the school with the specification, option C is the most suitable. Construction X describe the appropriate method because point C is the incenter of triangle town of cities L, M, and N.
Answer:
A
Step-by-step explanation:
Construction Y because point E is the circumcenter of Triangle LMN
there are x sweets in a box. There are y sweets in a packet. Write an expression, in terms of x and y, for the total number of sweets in 3 boxes and 2 packets.
The expression, in terms of x and y, for the Total number of sweets in 3 boxes and 2 packets is 3x + 2y.
To find the total number of sweets in 3 boxes and 2 packets, we need to add the number of sweets in the boxes and the number of sweets in the packets.
Let's start by finding the number of sweets in 3 boxes. Since there are x sweets in each box, the total number of sweets in 3 boxes would be 3x.
Next, let's determine the number of sweets in 2 packets. If there are y sweets in each packet, the total number of sweets in 2 packets would be 2y.
To find the total number of sweets in 3 boxes and 2 packets, we can add the two quantities we calculated:
Total number of sweets = 3x + 2y
So, the expression, in terms of x and y, for the total number of sweets in 3 boxes and 2 packets is 3x + 2y.
This expression represents the combined count of sweets from the boxes and packets, accounting for the given variables x and y.
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How many 3-letter orderings, where no letter is repeated, can be made using the letters of the word TRUCK ?
Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
20 POINTS AND I WILL GIVE BRAINLIEST!!!
Answer:
Domain:
(−∞,∞), {x|x ∈ R}
Step-by-step explanation:
Answer:
It may be 2
Step-by-step explanation:
I hope this helps (✿◡‿◡)
help for the attached problem will be greatly appreciated. ( the graph is blurry but it goes by 2s. ) (2,4,6 )
a. The estimated solution for the graph is (1.3, 2.3).
b. The equation of each line in the system are y = x + 1 and y = -2x + 5.
c. By solving algebraically, a solution to the system is (1.3, 2.3) and my estimate was very accurate.
How to determine an equation of this line?By critically observing the graph of this equation, we can logically deduce that the estimated solution for the system is (1.7, 2.1).
Part b.
In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (6 - 2)/(5 - 1)
Slope (m) = 4/4
Slope (m) = 1
At data point (1, 2) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 2 = 1(x - 1)
y = x + 1
For the second line, we have:
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-1 - 5)/(3 - 0)
Slope (m) = -6/3
Slope (m) = -2
At data point (0, 5) and a slope of -2, a linear equation for the second line is y = -2x + 5
Part c.
By solving algebraically, we have the following solution;
-2x + 5 = x + 1
-2x - x = 1 - 5
-3x = -4
x = 4/3
x = 1.3
y = x + 1
y = 1.3 + 1
y = 2.3
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Classify the triangle by its sides and angles. Explain your reasoning.
The triangle that has been shown is a scalene obtuse triangle.
What is a scalene obtuse angle triangle?
A triangle called a scalene triangle has three sides that are all different lengths. In other words, a scalene triangle has three different angles and no two of its sides have the same length.
A triangle with one obtuse angle is referred to as an obtuse triangle. Any angle that is greater than 90 degrees but less than 180 degrees is referred to as an obtuse angle.
Thus we have a scalene obtuse triangle.
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30 POINTS! How can matrices be used to represent and manipulate data?
Matrices are a type of data structure that can be used to represent and manipulate data in a variety of ways.
One way to use matrices to represent data is to store the data in the form of a matrix. For example, a matrix could be used to represent a table of values, where each row represents a different data point and each column represents a different attribute or feature of the data.
Matrices can also be used to manipulate data by performing mathematical operations on the matrix elements. For example, matrices can be added, subtracted, and multiplied to perform operations such as matrix addition, matrix subtraction, and matrix multiplication. These operations can be used to perform various types of data manipulation, such as combining data from different sources, transforming data, or calculating statistics.
In addition to performing mathematical operations, matrices can also be used to store and manipulate data in other ways. For example, matrices can be used to represent and manipulate images and other types of data that have a two-dimensional structure. Matrices can also be used to represent and manipulate data in higher dimensions, such as data with a three-dimensional structure.
Overall, matrices are a powerful tool for representing and manipulating data in a variety of contexts, and they are widely used in a range of fields including mathematics, computer science, engineering, and data analysis.
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Matrices are a type of data structure that can be used in a variety of ways to represent and manipulate data.
One method for utilizing grids to address information is to store the information as a framework. A table of values, for instance, could be represented by a matrix, with each row representing a distinct data point and each column representing a distinct attribute or feature of the data.
What are matrix?The plural form of a matrix, a rectangular array or table in which numbers or elements are arranged in rows and columns, is referred to as a matrices. They can have as many columns and rows as you want. Matrix operations include addition, scalar multiplication, multiplication, transposition, and others.
When performing these matrix operations, certain rules must be followed. For example, they can only be multiplied if the first and second columns are exactly the same, and they can only be added or subtracted if they have the same number of rows and columns.
Matrices can also be used to manipulate data by performing mathematical operations on the matrix elements. For example, matrices can be added, subtracted, and multiplied to perform operations such as matrix addition, matrix subtraction, and matrix multiplication. These operations can be used to perform various types of data manipulation, such as combining data from different sources, transforming data, or calculating statistics.
In addition to performing mathematical operations, matrices can also be used to store and manipulate data in other ways. For example, matrices can be used to represent and manipulate images and other types of data that have a two-dimensional structure. Matrices can also be used to represent and manipulate data in higher dimensions, such as data with a three-dimensional structure.
In general, matrices are extensively utilized in a variety of fields, including mathematics, computer science, engineering, and data analysis. They are a powerful tool for representing and manipulating data in a variety of contexts.
Hence the matrices be used to represent and manipulate data.
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Of the last 20 trains to pull into Lakeside
Station, 14 were full. What is the
experimental probability that the next
train to pull in will be full?
Write your answer as a fraction or whole
number.
P(full) =
The experimental probability that the next train to pull into Lakeside Station will be full is 7/10.
The experimental probability of the next train to pull into Lakeside Station being full can be calculated by dividing the number of times a full train occurred by the total number of trains observed.
Given that out of the last 20 trains, 14 were full, we can express the experimental probability as a fraction:
P(full) = Number of full trains / Total number of trains observed
P(full) = 14 / 20
Simplifying the fraction, we get:
P(full) = 7 / 10
Therefore, the experimental probability that the next train to pull into Lakeside Station will be full is 7/10.
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35 kilometers per hour to meters per
minute
Answer:
21.748 mph
Step-by-step explanation:
Trevor sees 8 red birds. He sees 5 more red birds than blue birds. How many blue birds Trevor see?
The original blueprint of a concrete patio has a scale of 2 inches =3 feet
Victoria want to make a new blueprint of the patio with a length of 16.8 inches
Scale of the new blueprint: 2 inches = 2.5 feet (or 4 inches = 5 feet)
Width of the new blueprint: 14.4 inches
FIRST PERSON TO ANSWER CORRECTLY GET MARKED BRAINLY
Answer:
5^4
Step-by-step explanation:
Add 18+6
Then add 10+10
Subtract 24-20
Then you get 5^4
Answer: 135,000²
Step-by-step explanation:
5×18=90×30=2,700×50=135,000²
Andrew and his children went into a grocery store and he bought $12 worth of
apples and bananas. Each apple costs $1 and each banana costs $0.60. He
bought a total of 16 apples and bananas altogether. By following the steps
below, determine the number of apples, x, and the number of bananas, y,
that Andrew bought.
The number of apples and bananas andrew and his children bought is 6 and 10 respectively.
Andrew and his children bought $12 worth of apples and bananas. Each apple costs $1 and each banana costs $0.60. He bought a total of 16 apples and bananas altogether.
Let number of apples = x and number of bananas is x-16
In mathematics it deals with numbers of operations according to the statements.
Here,
x*4 + 0.60(16-x) = 12
0.4x + 9.6 = 12
0.4x = 2.4
Number of apples, x = 6
And number of bananas = 16 -x
= 16 - 6
= 10
Thus, the number of apples and bananas andrew and his children bought is 6 and 10 respectively.
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Someone tell me what the answer
Answer:
can you please put a better picture?
evaluate 3x(x-2)/ 2x-1 when x=0
using 0-9 as digits,
which 2 digit number has order rotational of 2
which 3 digit number also has order rotational of 2
The value of 2 digit number has order rotational of 2 is, 16
And, The value of 3 digit number has order rotational of 2 is, 931
Now, For a two-digit number with an order rotational of 2, it means that if you flip the digits, you get a different but still valid number.
Hence, There are a few such numbers, but one example is 16 which becomes 61 when you flip the digits.
And, For a three-digit number with an order rotational of 2, it means that if you rotate the digits, you get a different but still valid number.
And, There are also a few such numbers, but one example is 319 which becomes 931 when you rotate the digits.
Thus, The value of 2 digit number has order rotational of 2 is, 16
And, The value of 3 digit number has order rotational of 2 is, 931
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Collinear points are?
-three or more points that lie in the same line
- three or more points that lie in the same plane
- three point in the space
-three lines that interact to make one plane
Answer:
Three or more points that lie in the same line.
Step-by-step explanation:
Collinear means that certain points lie on the same line. Two points define a line.
I would really appreciate it if you would please mark me brainliest!
Have a blessed day!
Answer:
Three or more points that lie in the same line.
Step-by-step explanation:
Collinear means that certain points lie on the same line. Two points define a line.
Step-by-step explanation:
lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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Which of the following represents the range of the graph of F(x) below?
A. x<2
B. All real numbers
C. y ≤ 2
-6
D. x≤2
FOX
6
(0, 2)
5
\(y \leqslant 2\)
How much space will a cylindrical water tank occupy if its height is 100 cm and its diameter is 30
find the volume
Answer:
volume of a cylindrical water tank = 70,650cm³
Step-by-step explanation:
volume of cylinder, V = πr²h
where π = 3.14
h = 100cm
r = ?
given is diameter = 30cm
r = d/2 = 30/2 = 15cm
substituting the values in the formula,
V = 3.14 * 15² * 100
= 3.14 * 225 * 100
= 70,650cm³
Answer:
How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm
Volume: 706,500 cm³
Step-by-step explanation:
How much space it would take up:
To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.
The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.
To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
A = π(15 cm)²
A = π(225 cm²)
A ≈ 706.86 cm²
So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.
The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.
Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.
Volume:
To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
First, we need to find the radius by dividing the diameter by 2:
Radius = 30 cm / 2 = 15 cm
Now we can calculate the volume:
V = π(15 cm)²(100 cm)
V = 3.14 * 225 cm² * 100 cm
V = 706,500 cm³
Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.
If f(-5)=7 identify a point on the graph of f
Answer:
If f(-5) = 7, then the point P(-5, 7) will be on the graph of f
where -5 is the x-coordinate and 7 is the y-coordinate
Step-by-step explanation:
Urgent, please help
I'll mark brainliest
Answer:
Step-by-step explanation:
The function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x
Transformation techniques
Transformation is the process of changing the position of an object on the xy-plane.
Given the parent function
f(x) = 4x
If the function is not reflected over x-axis, the resulting function will be f(x) = -4x
If the resulting function is compressed by a factors of 1/8, hence the final function rule will be;
g(x) = 1/8(-4x)
g(x) = -1/2x
Hence the function rule g(x) after the given transformations of the graph of f(x)=4x is g(x) = -1/2x
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Find the polar equation of the conic with focus at the pole, directrix y=3 and eccentricity of 2.
To find the polar equation of a conic with focus at the pole, directrix y=3, and eccentricity of 2, we can use the definition of a conic in polar coordinates.
The general form of the polar equation for a conic with focus at the pole is given by:
r = \(\frac{ed}{1+e\cos(\theta-\theta_0)}\)
Where:
- r is the distance from the origin (pole) to a point on the conic.
- e is the eccentricity.
- d is the distance from the pole to the directrix.
- θ is the angle between the polar axis and the line connecting the pole to a point on the conic.
- θ_0 is the angle between the polar axis and the line connecting the pole to the focus.
In this case, the focus is at the pole, so θ_0 = 0. The directrix is y = 3, which means its distance from the pole is d = 3. The eccentricity is given as 2, so e = 2.
Substituting these values into the general equation, we get:
r =\(\frac{2\cdot3}{1+2\cos(\theta-0)}\)
Simplifying further:
r =\(\frac{6}{1+2\cos(\theta)}\)
Therefore, the polar equation of the conic with focus at the pole, directrix y=3, and eccentricity of 2 is:
r =\(\frac{6}{1+2\cos(\theta)}.\)
This equation describes the shape of the conic in polar coordinates, where r represents the distance from the origin to a point on the conic, and θ represents the angle between the polar axis and the line connecting the origin to the point.
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Find the area of the figure. Use 3.14 for π.
Answer:
146.93m2
Step-by-step explanation:
Area of semi-circle = 7 x 7 x 3,14 : 2 = 76.93m2
Area of triangle = 10.14/2 = 70 m2
Area of the figure = 76.93 + 70 = 146.93m2
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i'm stuck on this question, any ideas? thanks
Answer:
\(\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}=-1/36\)
Step-by-step explanation:
So we have the limit:
\(\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}\)
Let's remove the fractions in the denominator by multiplying both layers by (6+x)(6). So:
\(\lim_{x \to 0} \frac{\frac{1}{6+x}-\frac{1}{6}}{x}\cdot (\frac{(6+x)(6)}{(6+x)(6)})\)
Distribute:
\(=\lim_{x \to 0} \frac{(6)-(6+x)}{x(6+x)(6)}\)
Simplify the numerator:
\(=\lim_{x \to 0} \frac{6-6-x}{x(6+x)(6)}\\=\lim_{x \to 0} \frac{-x}{x(6+x)(6)}\)
Both the numerator and the denominator have an x. Cancel:
\(=\lim_{x \to 0} \frac{-1}{(6+x)(6)}\)
Direct substitution:
\(= \frac{-1}{(6+0)(6)}\)
Simplify:
\(=-1/36\)
And that's our answer.
And we're done!
Answer:
-1/36
Step-by-step explanation:
lim(x→0) [1/(6 + x) − 1/6] / x
The common denominator of the two fraction in the numerator is 6(6 + x) = 36 + 6x.
lim(x→0) [6/(36 + 6x) − (6 + x)/(36 + 6x)] / x
Combine the fractions.
lim(x→0) [(6 − 6 − x) / (36 + 6x)] / x
Simplify.
lim(x→0) [-x / (36 + 6x)] / x
Divide.
lim(x→0) -1 / (36 + 6x)
Evaluate.
-1/36
In a market for pink salmon, other things being equal, the relation between price and quantity demanded can be described by Qd=60-P, while the relation between price and quantity supplied can be described by Qs=20+4P.
Find all points on the x-axis that are 16 units from the point (5,-8)
To find all points on the x-axis that are 16 units away from the point (5, -8), we can use the distance formula. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
In this case, the y-coordinate of the point (5, -8) is -8, which lies on the x-axis. So, any point on the x-axis will have a y-coordinate of 0. Let's substitute the given values and solve for the x-coordinate.
d = √((x - 5)² + (0 - (-8))²)
Simplifying:
d = √((x - 5)² + 64)
Now, we want the distance d to be equal to 16 units. So, we set up the equation:
16 = √((x - 5)² + 64)
Squaring both sides of the equation to eliminate the square root:
16² = (x - 5)² + 64
256 = (x - 5)² + 64
Subtracting 64 from both sides:
192 = (x - 5)²
Taking the square root of both sides
√192 = x - 5
±√192 = x - 5
x = 5 ± √192
Therefore, the two points on the x-axis that are 16 units away from the point (5, -8) are:
Point 1: (5 + √192, 0)
Point 2: (5 - √192, 0)
In summary, the points on the x-axis that are 16 units away from the point (5, -8) are (5 + √192, 0) and (5 - √192, 0).
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The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and standard deviation is 4 beads. Which sentence most closely summarizes the data?
About 80 necklaces have more than 28 beads. Then the correct option is C.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and the standard deviation is 4 beads.
P(x > 28) = P(x - 24 / 4 > 28 - 24 / 4)
P(x > 28) = P(x - 24 / 4 > 1)
P(x > 28) = 1 - ∅1
P(x > 28) = 1 - 0.8413
P(x > 28) = 0.1587
Multiply both sides by 500, then we have
500 P(x > 28) = 0.1587 × 500
500 P(x > 28) = 79.35
500 P(x > 28) ≈ 80
About 80 necklaces have more than 28 beads. Then the correct option is C.
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The missing options are given below.
A. About 24 devices have more than 28 beads.
B. About 48 necklaces have more than 28 beads.
C. About 80 necklaces have more than 28 beads.
D. About 96 necklaces have more than 28 beads.