Answer:
The answer is y = 2x + 4....
plz help ASAP !! will mark u brainlist
Answer:
D. The 4th choice.
Step-by-step explanation:
We can see from the graph that the point (-2, -5) is excluded from the line since there is there an open circle.
The domain is all real numbers except -2.
The range is all real numbers except -5.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
D. The 4th choice.
If a rectangular lot has an area of 20,500 sq. ft. and a depth of 200 ft., what is the frontage of the lot?
The frontage of the lot is 102.5 ft.
If a rectangular lot has an area of 20,500 sq. ft. and a depth of 200 ft., we can find the frontage of the lot by using the formula for the area of a rectangle, which is length multiplied by width. In this case, the area is given as 20,500 sq. ft., and the depth is given as 200 ft. To find the frontage, we can divide the area by the depth:
Frontage = Area / Depth
Given that the area of the lot is 20,500 sq. ft. and the depth is 200 ft., we can substitute these values into the formula:
Frontage = 20,500 sq. ft. / 200 ft.
Calculating this division, we find:
Frontage = 102.5 ft.
Therefore, the frontage of the lot is 102.5 ft.
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Mrs. Curry own a hair salon. One day, she gave 12 haircuts. She eamed $19.95 for each and received an average tip of $2 for each
haircut.
Select the equation that would express the total amount that she eamed?
a. (19.95 x 12)2
c 19.95 + 2 + 12
b. (19.95 x 2) +12
d. 12(19.95 +2)
Answer:
Option d 12(19.95 + 2)
Step-by-step explanation:
The answer would be an option d, since we know that she gets paid $19.95 plus the $2 per haircut, and we know that she gave 12 haircuts there for we multiply the sum of $19.95 and $2 by 12, and that can be written down as...
12(19.95 + 2)
The value of y is directly proportional to
the value of x. If y = 84 when x = 16, what
is the value of y when x = 75?
Answer:
y = 393.75
Step-by-step explanation:
Proportions:
84 ⇔ 16
y ⇔ 75
y = 75*84/16
y = 393.75
Solve the following system of inequality
x < 3y - 18
Step-by-step explanation:
If you are solving for y :
\( \: \)
\(x < 3y - 18\)
\(x + 18 < 3y\)
\( \frac{x + 18}{3} < \frac{3y}{3} \)
\(y > \frac{3}{x} + 6\)
10TH GRADE MATH: Central Angles 5 question pretest. 20 POINTS
The value of x is 17
The congruent arcs are (b) PQ and SR
The radius is 12 units
The value of PQ is 4
The length YZ is 19 units
How to calculate the value of xIn this question, we make use of the property of congruent sides
So, we have
3x - 24 = x + 10
When evaluated, we have
2x = 34
Divide by 2
x = 17
Identifying the congruent arcsBy the definition of congruent arcs, congruent arcs are arcs that have equal measures
In this figure, the congruent arcs are PQ and SR i.e. (b) PQ and SR
Calculating the radiusThe radius of the circle is calculated as
r² = (25 + r)² - 35²
When expanded, we have
r² = 625 + 50r + r² - 1225
So, we have
50r = 600
Divide both sides by 50
r = 12
How to calculate the value of PQIn this question, we make use of the property of congruent sides
So, we have
PQ = SR
Where
SR = 4
When evaluated, we have
PQ = 4
Calculating the length of YZThe length of YZ in the circle is calculated as
YZ² = (9 + 8)² + 8²
So, we have
YZ² = 17² + 8²
When expanded, we have
YZ² = 289 + 64
So, we have
YZ² = 353
Take the square root of both sides
YZ = 19
Hence, the length YZ is 19 units
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10. dice when a pair of dice is rolled, what is the probability tha tthe sum of the dice is 5, given that exactly one of the dice shows a 3?
The probability sum of the dice is 2/11.
Let A be the event that the sum of dots is 5, then
A={(1,4), (2,3), (3,2), (4,1)}
n(A)=4
And, B is the event that one die shows a "one"
B={(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (3,1), (4,1), (5,1), (6,1)}
n(B)=11
The Event that some of the dots are five and one of the die shows "one".
A intersection B = {(1,4), (4,1)}
Since n(A) = 36 (thirty-six possible samples of two dice)
P(A)=4/36
P(B)=11/36
P(A intersection B)=2/36
So, the required probability is
P(A|B)=P(A intersection B)/P(B) =2/11
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Sasha needs to write a division expression for the fraction 9/14. She is not sure which number goes where. Help Sasha understand how to write a division expression from a fraction
To write a division expression from a fraction, identify the numerator, which is the dividend, while the denominator is the divisor.
What is a division expression?A division expression is an algebraic expression using the division operand (÷).
Algebraic expressions involve the combination of numbers, constants, values, and variables with mathematical operands.
The result of a division operation, which is one of the four basic mathematical operations, is known as the quotient.
Thus, we can conclude that the dividend is related to the numerator of the fraction just as the divisor is related to the denominator of the fraction.
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Which x value makes this equation true? Explain how you can tell
2x^2 - x + 10 = 38
a) x=2
b) x=4
c) x=-4
d) x=6
Answer:
b) x = 4
Explanation:
\(2x^2 - x + 10 = 38\)
collect variables
\(2x^2 - x + 10 - 38 = 0\)
simplify
\(2x^2 - x - 28 = 0\)
breakdown
\(2x^2 -8x + 7x - 28 = 0\)
factor out
\(2x(x - 4) + 7(x - 4) = 0\)
collect into groups
\((2x + 7)(x - 4) = 0\)
set to zero
\(2x + 7 = 0, x - 4 = 0\)
relocate variable
\(2x = -7, x = 4\)
final solutions
\(x = -3.5, x = 4\)
The answer is b.
To find the value of x, we need to convert this into the form of a quadratic equation.
Subtract 38 from each side.
2x² - x + 10 - 38 = 38 - 382x² - x - 28 = 0Solve by splitting the middle term.
2x² + 7x - 8x - 28 = 0x (2x + 7) - 4 (2x + 7) = 0x = 4, x = -7/2You put a $5,500 surround sound system on layaway and put down a 15% deposit. What was the deposit?
Answer:
Step-by-step explanation:
15% of 5500
.15 × 5500 = $825
What is the usefulness of Cluster Analysis? What is Hierarchical
Clustering? Give examples.
Cluster analysis is a valuable tool in data analysis that helps identify hidden patterns and group similar objects or data points.
It is useful in various fields, such as market research, image analysis, customer segmentation, and anomaly detection. By clustering data, we can gain insights, make predictions, and improve decision-making. Hierarchical clustering is a specific approach to cluster analysis. It organizes data points into a hierarchy of clusters, where each cluster can contain subclusters. This method allows for a hierarchical structure that captures different levels of similarity or dissimilarity between data points.
For example, in customer segmentation, hierarchical clustering can group customers based on similar attributes like demographics, purchase history, and behavior. In image analysis, it can be used to segment images into meaningful regions or objects based on their visual characteristics. Hierarchical clustering offers a flexible and interpretable way to analyze complex datasets and discover underlying structures.
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Which inequality describes the relationship between points A and B on the number line?
Answer:
B > A
Step-by-step explanation:
B and A are both in between 0 and 1 on a number line.
On a number line, the further right you go, the higher numerical values get, and the further left - vice versa.
Anyhow, B is further to the right, as well as closer to 1 than A is, so we can assume that B is the greater number.
Have a nice day, fam. Spread The Love.
Which point satisfies the system of equations y=3x-2 and y=-2x+3?
8
7
B
6
C
5
4
D
9 8 7 6 5 4 3 -2 -1
1
2 3 4 5 6 7
B
9x
-2
-3
4
-5
-5
-7
-9
ΟΑ. Α
ОВ.
B
Occ
ODD
Answer:
27633883532
2732937293739
839364923274693
93730347395393649364
027402649249364
026393473849337
92739262926382
193
19632963286392
92539253925292
9279253285292
2283792
88248935392
926263925392
7363854276393
233
if a thin lamina with uniform density has a shape of an equilateral triangle whose side at the bottom is sitting horizontally on the -axis and the top vertex is on the -axis, then the center of mass is a point located ?
The center of mass of the thin lamina with uniform density in the shape of an equilateral triangle, whose side at the bottom is sitting horizontally on the x-axis and the top vertex is on the y-axis, is located on the y-axis at a distance of 1/3 times the height of the triangle from the origin.
The center of mass of a thin lamina is the point at which the entire mass of the lamina can be considered to be concentrated. The center of mass of an equilateral triangle is located at the intersection of its medians, which are the line segments joining each vertex to the midpoint of the opposite side.
In this case, the triangle has its bottom side sitting horizontally on the x-axis, so the midpoint of the bottom side is at x = 1/2. The height of the equilateral triangle is h = (sqrt(3)/2) times the length of one of its sides, so the height of this triangle is h = (sqrt(3)/2) times the length of the bottom side. Since the bottom side is sitting on the x-axis, its length is equal to the x-coordinate of the top vertex.
Therefore, the coordinates of the top vertex of the triangle are (x, y) = (h/sqrt(3), h). The medians of the triangle are the lines passing through the vertices and the midpoints of the opposite sides. The median passing through the top vertex has equation x = h/sqrt(3), while the median passing through the midpoint of the bottom side has equation y = (sqrt(3)/2)x.
The intersection of these medians is the center of mass of the triangle. Substituting x = h/sqrt(3) into the equation for the median passing through the midpoint of the bottom side, we get y = (sqrt(3)/2)(h/sqrt(3)) = h/2. Therefore, the center of mass is located at the point (h/sqrt(3), h/2).
Since the top vertex of the triangle is located at (h/sqrt(3), h), the distance between the origin and the center of mass is the y-coordinate of the center of mass, which is h/2. Therefore, the center of mass is located on the y-axis at a distance of h/2 from the origin. Substituting h = (sqrt(3)/2) times the length of the bottom side, we get the distance of the center of mass from the origin as (sqrt(3)/4) times the length of the bottom side.
Since the bottom side is sitting on the x-axis, its length is equal to the x-coordinate of the top vertex, which is h/sqrt(3). Therefore, the distance of the center of mass from the origin is (sqrt(3)/4) times (h/sqrt(3)) = 1/4 times the height of the triangle.
However, the question asks for the distance of the center of mass from the y-axis, not the origin. Since the center of mass is located on the y-axis, its x-coordinate is 0, and the distance of the center of mass from the y-axis is the absolute value of its y-coordinate, which is h/2.
Therefore, the center of mass is located on the y-axis at a distance of 1/3 times the height of the triangle from the origin
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Please help with this question
Answer:
the SSS similarity theorem
Step-by-step explanation:
The triangles are not indicated as being right triangles (even though we know they are), so we cannot use the HL theorem.
The ratios of corresponding sides are the same, so the applicable theorem is ...
the SSS similarity theorem
__
3/(3+6) = 4/(4+8) = 5/15 = 1/3 . . . the ratio of shorter sides to corresponding longer sides.
_____
Additional comment
You recognize the smaller triangle as a 3-4-5 right triangle, and notice that the larger triangle is 3 times that size. If angle C were marked as the right angle it is, then the HL similarity theorem could also be used.
The weights of certain machine components are normally distributed with a mean of 8.34 g and a standard deviation of 0.09 g. Find the 97th percentile.
To answer this question, we need to use the standard normal distribution to find the 97th percentile. We need to normalize the given values, and then equates the equation to that value when the probability is equal to 97%.
Then, we have:
\(z=\frac{x-\mu}{\sigma}\)We have that the raw value is the one we need to find. Then, we need to find, using the standard normal distribution table, to find the z-score for a probability of 97%. Then, we have that, for this value, the corresponding z-score is, approximately, z = 1.88. Thus, we have:
\(1.88=\frac{x-8.34}{0.09}\Rightarrow1.88\cdot0.09=x-8.34\)Then, we have
\(1.88\cdot0.09+8.34=x\Rightarrow x=8.5092\approx8.51\)Therefore, the 97th percentile is, approximately, equal to x = 8.51 (rounding the value to the nearest hundredth) or x = 8.5092.
At what point do the curves and intersect? find their angle of intersection correct to the nearest degree.
The intersection of two curves is important because it marks the spot where the values of the two curves coincide. There are numerous applications for this.
What are angles?When two lines meet at a point, an angle is created. An "angle" is the measurement of the "opening" between these two rays. It is symbolized by the character.
The circularity or rotation of an angle is often measured in degrees and radians. Angles are a common occurrence in daily life. Angles are used by engineers and architects to create highways, structures, and sports venues.
When two rays are linked at their ends, they create an angle in geometry.
The sides or arms of the angle are what are known as these rays. Read on to learn about the various components of an angle.
Hence, The intersection of two curves is important because it marks the spot where the values of the two curves coincide. There are numerous applications for this.
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(7 points, A -REL.2.4) A packing company is doing an inventory of boxes. Their most popular box is displayed below. Use the formula for volume of a box, V = lwh. If the volume is 40f * t ^ 3 , find the value of x. Then find the length and width of the box. State any extraneous solutions.
Answer:
The extraneous solution is x = -5/6
Length = 4 ft
Width = 5 ft
Step-by-step explanation:
Length = 3x - 5 ft
Width = 2x - 1 ft
Height = 2 ft
Volume = 40 ft^3
Volume = length × width × height
40 = (3x - 5)(2x-1)(2)
40 = (6x^2 - 3x - 10x + 5)(2)
40 = 12x^2 - 6x - 20x + 10
12x^2 - 26x + 10 - 40 = 0
12x^2 - 26x - 30 = 0
Divide through by 2
6x^2 - 13x - 15 = 0
Solve using factorization method
(6x + 5) (x - 3) = 0
6x + 5 = 0
6x = -5
x = -5/6
Or
x - 3 = 0
x = 3
The extraneous solution is x = -5/6
Length = 3x - 5 ft
= 3(3) - 5
= 9 - 5
= 4 ft
Width = 2x - 1 ft
= 2(3) - 1
= 6 - 1
= 5 ft
Sqrt -1+2 using a+bi
\(\sqrt{-1} + 2 = i+2 = 2+i\)
Which of the following is the graph of f(x) = x2 + 3x − 4? graph of a quadratic function with a minimum at 2, negative 9 and x intercepts at negative 1 and 5 graph of a quadratic function with a minimum at 3, negative 4 and x intercepts at 1 and 5 graph of a quadratic function with a minimum at 2.5, negative 2.4 and x intercepts at 1 and 4 graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4
Answer:
x intercepts at -4 and 1,
with a minimum at (-1.5, -6.25)
Step-by-step explanation:
(x + 4)(x - 1) = 0
x = -4, 1
min = -b/2a = -3/2(1) = x = -1.5
y = (-1.5)² + 3(-1.5) - 4 = -6.25
Answer:
graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4
Step-by-step explanation:
The graph shows the minimum is (-1.5, -6.25) and the x-intercepts are a -4 and 1. This matches the last description.
__
The x-coordinates of the offered minima are all different, so it is sufficient to know that the axis of symmetry is the line ...
x = -b/(2a) = -3/(2(1)) = -1.5 . . . . . . . for quadratic f(x) = ax² +bx +c
This is the x-coordinate of the minimum.
A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is ? Leave your answer in simplest radical form.Viruses
a. 16√8
b. 2√8
c. 8√8
d. 4
The correct response is c. 8√2 . The length of the diagonal if the side of the square is 8√2.
A polygon's opposed vertices (or corners) are connected by a line segment known as a diagonal. Or to put it another way, a diagonal is a line segment joining two polygonal vertices that are not neighbouring. With the exception of the figure's edges, it connects a polygon's vertices. For instance, a diagonal line or movement runs slopingly from one corner of a square to the other corner. a type of straight line called a diagonal. Straight up, down, or across are not possible on a diagonal line. It is a line that joins the corners of a form at two points. Instead of running straight up or across, a diagonal is formed by a straight line that is positioned at an angle.
Right isosceles triangles with both legs 8 feet long would make up each half.
The hypotenuse that both of those triangles would share is the diagonal.
We must determine the hypotenuse's length, d, in feet.
According to the Pythagorean theorem, the lengths of the legs' squares sum up to the length of the hypotenuse's square, so
\(8^{2} +8^{2} =8\sqrt{2}\)
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A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is 8ft? Leave your answer in simplest radical form.
a. 16√8
b. 2√8
c. 8√2
d. 4
If we flip a coin eight times, how many possible sequences of eight coin faces (i.e., heads or tails) can we have
Using the Fundamental Counting Theorem, the number of possible sequences of eight coin faces is of 256.
It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem, there are 8 events, each with 2 possible outcomes, hence:
Hence, the total number of sequences is given by:
Hence, the total number of sequences is given by:
.
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Find the equation of a line that contains the points (6,3) and (6,−2).
Answer:
x = 6
Step-by-step explanation:
First find the gradient,
\(Gradient = \frac{y2-y1}{x2-x1} = \frac{-2-3}{6-6} =\frac{-5}{0} =0\)
Since this line has no gradient, it means that it's a horizontal or vertical line. We cannot substitute in the values because the gradient is 0 so this line will only be x = 6
IT'S DUE TODAY please some1 help me on this one.
In ΔQRS, s = 5.2 inches, ∠S=129° and ∠Q=30°. Find the length of r, to the nearest 10th of an inch.
Answer:
Q+R+S=180
30°+R+129°=180
R=180-159
R=21..
is the answer
the fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21,... starts with two 1s, and each term afterwards is the sum of its two predecessors. which one of the ten digits is the last to appear in the units position of a number in the fibonacci sequence?
The last to appear in the ones position of a number in the Fibonacci sequence is 6.
The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21 , … starts with two 1s, and each term afterward is the sum of its two predecessors.
The next terms are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.
Here, it can be seen that is the last to appear in the ones position of a number in the Fibonacci sequence.
Thus, The last to appear in the ones position of a number in the Fibonacci sequence is 6.
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2. the butler and the cook have decided to murder their employer. they draw straws to determine which one of them must carry out the dirty deed (so each has the same chance). the butler has four poison tipped pens, two crowbars and four knives and the cook has three rolling pins and seven knives. whoever is chosen to be the murderer will select one of their weapons randomly. a. what is the probability that the murder was committed with a knife? b. given that the murder was committed with a knife, what's the probability that the cook did it?
a) The probability that the murder was committed with a knife: 0.55
b) The probability that the cook did it, given that the murder was committed with a knife: 0.275
To determine the probability that the murder was committed with a knife, we first need to find the total number of weapons.
The butler has four poison tipped pens, two crowbars and four knives and the cook has three rolling pins and seven knives.
So, the total knives: 4 + 7 = 11
crowbars: 2
poison tipped pens: 4
and rolling pins: 3
So, the total number of weapons: 11 + 2 + 4+ 3 = 20
The probability that the murder was committed with a knife:
p = 11/20
p = 0.55
Now we need to find the probability that the cook did it, given that the murder was committed with a knife.
P = 0.55 × 0.5
P = 0.275
The required probability is 0.275
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How many numbers in the set of consecutive integers from 1 to 99, Inclusive, have 3 as a factor but do not have 6 as a factor?
which expression fails to compute the area of a triangle having base b and height h (area is one-half base time height)?a.(1.0 / 2.0 ) * b * hb.(1 / 2) * b * hc.(b * h) / 2.0d.0.5 * b * h
The expression that fails to compute the area of a triangle correctly is option b: (1 / 2) * b * h.
The correct formula to compute the area of a triangle is one-half times the base multiplied by the height, which can be written as (1/2) * b * h. Option a, c, and d correctly represent this formula. However, option b is incorrect because it uses integer division instead of decimal division.
In option b, (1 / 2) is computed using integer division, which results in truncating the decimal part. Therefore, (1 / 2) evaluates to 0 instead of 0.5. As a result, the expression (1 / 2) * b * h would yield incorrect and significantly smaller results than the actual area of the triangle.
To accurately calculate the area of a triangle using this formula, it is essential to use decimal division or explicitly represent the fraction as a decimal. Options a, c, and d correctly account for this by using either 1.0/2.0 or 0.5, ensuring the proper calculation of the area.
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Answer this question please
Answer:
C
Step-by-step explanation:
Answer:
C
Breh its right their!
Select the correct number from each drop-down menu to complete the equation. 7 8 − ( − 2 + 3 4 ) = 8 7 −( − 2+ 4 3 )= ( + ) + 7 8 + 8 7
The value of the expression is 17/8.
Given is an expression, 7/8 - (-2+3/4) = ( ____+____) + 7/8, we need to solve it,
7/8-(-2+3/4)
= 7/8-(-8+3)/4
= 7/8 + 5/4
= 7+10 /8
= 17/8
Hence, the value of the expression is 17/8.
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