Answer:
1) a) 0,1
b) 1,2
c) -2,1
d) -3,-2
Step-by-step explanation:
PLEASR HELP ASAP, FALLING BEHIND BIG TIME!! Please explain I really suck at math and can not fail what so ever!!!
The table below represents a linear function. (Picture Below)
What is the slope?
Answer:
-12/3
Step-by-step explanation:
the slope of a linear equation is defined as
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y is the output so in this case, the y's would be f(n) on the chart
x is the input so in this case the x's would be n on the chart
to keep things simple ill use the first 2 columns of the chart, which give the (x,y) pairs (-3,15) and (0,3)
Simply plug these x's and y's into the above equation to get the slope
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\\frac{3 -15 }{0--3 }\\\frac{-12}{3} \\[/tex]
Find the volume of the olid cone obtained by rotating the region bounded by the line y=12x, y=0, and x=4 about the x-axi
The volume of the solid cone obtained by rotating the region bounded by the line y=12x, y=0, and x=4 about the x-axis is 38603.89 [tex]unit^{3}[/tex]
We will calculate the volume in the following way,
Given lines are: x=4, y=0, y=12x
First, we make a triangle from the given equation and then rotate it along the x-axis to get the dimensions of the cone.
We, need to put x=4 and y=0 in y=12x to get all the vertices of the triangle.
Points are: (0, 0), (4, 0), and (4, 48).
Now, we rotate this triangle about the x-axis.
Thus, the radius of the cone(r)= 48 and the height of the cone(h)= 4.
Therefore, the formula for the volume of the cone (v)= [tex]\frac{4}{3}*(\pi *r^{2}*h )[/tex]
=[tex]\frac{4}{3} \pi*48^{2}*4[/tex]
=38603.89 [tex]units^3[/tex]
Therefore the volume obtained is 38603.89 [tex]unit^{3}[/tex]
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a coin has two sides: heads and tails. a die has six sides, numbered through . if you flip the coin and roll the die, what is the probability that you flip ''heads'' and roll a number less than
The probability that you flip 'heads' and roll a number less than 5 is 1/3.
The probability of flipping heads is 1/2, and the probability of rolling a number less than 5 is 4/6.
The probability of both occurring is the product of the two probabilities, or 1/2 multiplied by 4/6, which is equal to 1/3.
This means that the probability of flipping heads and rolling a number less than 5 is 1/3.
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Given: Line Segment AB is perpendicular to Line Segment BC, Line Segment DC is perpendicular to Line Segment BC, Line Segment AC is congruent to Line Segment DB
Prove: Line Segment AE is congruent to Line Segment DE
Write a two-column proof for this.
The proof is explained below
what is a method of two-column proof?A column proof is a logical argument that is presented in an organized manner. Every two-column proof has exactly two columns. One column represents our statements or conclusions and the other lists our reasons. In other words, the left-hand side represents our “if-then” statements, and the right-hand side explains.
Statements Reasons
1) ΔABC & ΔDCB are right ∠B =∠C =90°
angle triangle
2) AC=DB Given
3) BC is common Given
to both ΔABC & ΔDCB
4) By SAS property ΔABC≅ΔDCB ∠B =∠C =90° , BC is common,
and AC = DB
5) AB=DC By CPCT theorem
Hence, proved via two column proof.
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The price of an item yesterday was $115. Today, the price fell to $46. Find the percentage decrease.
Answer: 40%
Step-by-step explanation:
the pecentage of decrease is 40%
correct me if i'm wrong ;(
HOPE THIS HELPS
Which of the following are possible side lengths
for a triangle?
A. 8, 16,4
B. 3, 6, 9
C. 3, 12, 10
Answer:
C. 3, 12, 10---------------------------
According triangle inequality theorem the sum of any two sides of a triangle is greater than the third side.
Apply this to our options, add up the two shortest sides and compare with the longest side.
Option A8 + 4 < 16, no, it is impossible to build a triangle.Option B3 + 6 = 9, no, it is impossible to build a triangle.Option C3 + 10 > 12, yes, possible triangle.what is the probability that out of ten randomly selected 30 year olds in 1970. at least one did not earn more than his or her parents at age 30
Therefore the probability that out of ten randomly selected 30 year old in 1970. at least one did not earn more than his or her parents at age 30 is 0.8448
What is probability?The study of probabilities involves calculating the possibility that an event will occur or that a proposition is accurate. The probability of an event is a number between 0 and 1, where 0 often represents impossibility and 1 typically represents certainty.
Here,
It is found by reading so it says ten so we multiply 0.8300 10 times by one and one example 0.0830,0 0.8300, 0.8300 ,0.8300..... and so forth or else you will not get the correct answer, there is an easier way to put in the calculator but you figure that out
after we found that we get =
1−0.830010^10
Our response is 0.1552, so since it specifies "at least," we deduct 1.
= 1−0.1552
and our answer is :
= 0.8448
Therefore, the probability that out of ten randomly selected 30 year old in 1970. at least one did not earn more than his or her parents at age 30 is 0.8448
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d divided by 5.20 = 2.40
Answer:
Below
Step-by-step explanation:
D / 5.2 = 2.4 multiply both sides of the equation by 5.2 to get
D = 12.48
A 15-foot tall tent pole i ecured to the ground uing a piece of rope 17 feet long that goe from the top of the tent pole to the ground. If the tent pole make a 90-degree angle with the ground, determine the number of feet along the ground from the tent pole to the rope. A. 64 feet
B. 19 feet
C. 8 feet
D. 7 feet
As per the Pythagoras theorem, the number of feet along the ground from the tent pole to the rope is 8 feet.
Here we have given that A 15-foot tall tent pole incurred to the ground using a piece of rope 17 feet long that goes from the top of the tent pole to the ground. If the tent pole make a 90-degree angle with the ground,
And we need to determine the number of feet along the ground from the tent pole to the rope.
AS per the given data, here we have consider that the pole makes 90° with the ground and is supported by a rope.
And for the clear observation, here we can realize that the pole, rope and ground form a right-angled triangle, where
The value of Hypotenuse (h) = length of rope = 17 feet
And the Side 1 (p) = length of tent pole = 15 feet
Then the Side 2 (b) = distance between pole and rope along the ground
Now, we have to applying the Pythagorean theorem, the following equation is obtained:
=> h² = p² + b²
Then we have to apply the values on it, then we get
=> 17² = 15² + b²
=> b² = 289 - 225
Therefore, the value of is calculated as,
=> b = √64
=> b = 8 feet
Therefore the distance between the tent pole and the rope along the ground is 8 feet.
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Please awnswer the question below
The required probability that the spinner and number cube both lands on number 2 is 1/4. Option E is correct.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total sample space = 4 × 6 = 24
Favorable event = (2, 2) = 1
The probability that the spinner and number cube both lands on number 2,
= favorable outcome/sample space
= 1 / 24
Thus, the required probability that the spinner and number cube both lands on number 2 is 1/4. Option E is correct.
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Find the 5th term in this sequence n²-4n
Answer: 5
Step-by-step explanation:
(5^2) - (4 x 5)
Graph the following equation y-2=1/2(x+5)
Answer: I could be wrong, but I tried my best.
Slope: 1/2
Y-intercept: (0, 6)
Step-by-step explanation:
25. Which correctly gives the center of dilation
and scale factor of the dilation below
a) dilated by a scale factor of 1/3 with
the origin as the center of dilation
b) reflection in the line y = -x
(x, y)-(-y, - x)
Directions: Graph and label each figure and its image under the sequence of transformations.
Give the coordinates of the image.
27. Rectangle PQRS with vertices P(-6, 9), Q(3, 6), R(0, -9), and S(-9, -6):
10,10
لهاشم
(-8,-1): 4-
B. (-8,-1);-
C. (0,-5): 4-
D. (0,-5);&-4
C
016-31
R. (20
5.16.9
P
26. N(-10, -15) is the image of N after a dilation
with a scale factor of 5/4, centered at the
origin. What are the coordinates of N
29. Which sequence of transformations will map PQ onto RS?
R
13
A. a 90° clockwise rotation about the origin,
then a reflection in the x-axis
B. a 180° rotation about the origin,
then a translation along the vector (2.2)
C. a reflection in the x-axis, then a
translation along the vector (2,6)
D. a translation along the vector (5.-2),
then a reflection in the x-axis
D.
When the point N is dilated, the coordinate of N changes to N' ,the coordinate of point N is (8,12).
What is dilation?
In arithmetic, a dilation may be a perform f from a mathematical space M into itself that satisfies the identity d=rd for all points x, y \in M, wherever d is that the distance from x to y and r is a few positive imaginary number.
Main body;
How to determine the coordinate of N
The given parameters are:
N' = (10,15)
k = 5/4
To calculate the coordinate of N, we make use of:
N * k = N'
So, we have:
N * 5/4 = (10,15)
Multiply both sides by 4
N * 5 = (40,60)
Divide both sides by 5
N = (8,12)
Hence, the coordinate of point N is (8,12)
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I need help on this Math. It was due so long ago.
Answer:
y-intercept: (0,4)
y-intercept in the coordinate form: (0,4)
The equation in slope-intercept form: y=7x+4
Step-by-step explanation:
The slope is rise/run
We see that the y increase by 28 and the x increase by 4, so the slope is 28/4 = 7
m = 7
We know that the y-intercept is at (0,4)
So the slope-intercept equation will be
y = 7x + 4
Answer:
y- intercept = 0.4
y- intercept in the coordinate = 0.4
so the equation is : y=7x+4
Find a formula for RN for the function f(x) = (5x)2 on [1, 5] in terms of N.
Could you please show the work? I was able to get the area but can't exactly figure out what they want for the formula.
The formula for R(N) for the function f(x) = (5x)2 on [1, 5] in terms of N is R(N) = [tex]100+400\times\frac{(N+1)}{N^2}+\frac{800}{3}\times\frac{(N+1)(2N+1)}{N^3}[/tex] and area is 767(approx).
In the given question, we have to find a formula for R(N) for the function f(x) = (5x)^2 on [1, 5] in terms of N.
The given function is f(x) = (5x)^2 on [1, 5].
∆x = (5-1)/N
∆x = 4/N
X = 1+i∆x
X = 1+i4/N
f(x) = 25X^2
f(x) = 25(1+i4/N)^2
f(x) = 25(1+i8/N+16/N^2 i^{2})
R(N) = [tex]\sum_{i=1}^{N}f(X)\Delta x[/tex]
Now putting the value of f(x) and ∆x
R(N) = [tex]\sum_{i=1}^{N}\frac{4}{N}\left[25\left(1+\frac{8}{N}i+\frac{16}{N^2}i^{2}\right)\right][/tex]
R(N) = [tex]\frac{100}{N}\sum_{i=1}^{N}\left(1+\frac{8}{N}i+\frac{16}{N^2}i^{2}\right)[/tex]
R(N) = [tex]\frac{100}{N}\left(\sum_{i=1}^{N}1+\sum_{i=1}^{N}\frac{8}{N}i+\sum_{i=1}^{N}\frac{16}{N^2}i^{2}\right)[/tex]
R(N) = [tex]\frac{100}{N}\left(N+\frac{8}{N^2}\sum_{i=1}^{N}i+\frac{16}{N^3}\sum_{i=1}^{N}i^{2}\right)[/tex]
R(N) = [tex]\frac{100}{N}\left(N+\frac{8}{N^2}\frac{N(N+1)}{2}+\frac{16}{N^3}\frac{N(N+1)(2N+1)}{6}\right)[/tex]
R(N) = [tex]\frac{100}{N}\times N+\frac{100}{N}\times\frac{8}{N^2}\times\frac{N(N+1)}{2}+\frac{100}{N}\times\frac{16}{N^3}\times\frac{N(N+1)(2N+1)}{6}[/tex]
R(N) = [tex]100+400\times\frac{(N+1)}{N^2}+\frac{800}{3}\times\frac{(N+1)(2N+1)}{N^3}[/tex]
Now finding the area
[tex]\text{lim}_{N\rightarrow \infty}[/tex]R(N) = [tex]\text{lim}_{N\rightarrow \infty}\left[100+400\times\frac{(N+1)}{N^2}+\frac{800}{3}\times\frac{(N+1)(2N+1)}{N^3}\right][/tex]
[tex]\text{lim}_{N\rightarrow \infty}[/tex]R(N) = 100 + 400 + 800/3
[tex]\text{lim}_{N\rightarrow \infty}[/tex]R(N) = 766.67
[tex]\text{lim}_{N\rightarrow \infty}[/tex]R(N) = 767(approx)
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Enter the value of x below.
x+8=12
Answer:
4
Step-by-step explanation:
x + 8 = 12
Subtract 8 from both sides :
x = 12 - 8
x = 4
Hope this helped and have a good day
In a parallelogram, the sum of the measures of the angles is ______?
Answer: 360
Step-by-step explanation:
Answer is 360 degrees
a parallelogram can be divided into two triangles
The Sum of the angles of each triangle is 180°
2 x 180 =360
Answer:
360
Step-by-step explanation:
Formula to find the sum of angles of any shape
(n-2)x180
(4-2)x180
2x180=360
Hence the sum of angles of a parallelogram is 360
Work out the circumference of this circle. Take pi to be 3.142 and give your answer to 1 decimal place.
9m
ok i can di it...... ..........
The solution is 28.3 m
The circumference of the circle whose radius is 4.5 m is 28.3 m
What is a Circle?
A circle is a closed two-dimensional 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 perimeter 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
Given data ,
Let the circumference of the circle be represented as C
Now , the equation will be
The diameter of the circle = 9 m
The radius of the circle r = d/2 = 4.5 m
And , the circumference of the circle C = 2πr
Substituting the values in the equation , we get
Circumference of the circle C = 2 x 3.142 x 4.5
Circumference of the circle C = 28.278 m
Therefore , the value of C is 28.3 m
Hence , the circumference of the circle is 28.3 m
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Daisha has a barrel in her garden to collect rainwater. The barrel can hold at most 65 gallons of water.
Which inequality represents this situation?
w ≤ 65
w ≥ 65
w < 65
w > 65
Answer:
w < 65 is the correct inequality.
Please help me!
I need to deliver it tomorrow.
Step-by-step explanation:
10.
-2 < 6x - 2 < 46
0 < 6x < 48
0 < x < 8
so the line goes (with empty dots because of "<") from 0 to 8.
11.
4 + 9r <= 58 or 7r - 3 >= 46
9r <= 54 or 7r >= 49
r <= 6 or r >= 7
the line goes (with filled dots because of ">=" and "<=") from 6 all the way to the left, and from 7 all the way to the right.
12.
filled dot at -4, empty dot at +3.
connecting line between both dots.
-4 <= x < 3
13.
filled dots at -1 and at +6.
lines going away left and right.
x <= -1 or x >= 6
14.
empty dots at +3 and +4.
lines going away left and right.
x < 3 or x > 4
15.
filled dot at +6, empty dot at +8.
connecting line between both dots.
6 <= x < 8
The shape on the left is transformed to the shape on the right.
Triangle W X Y is rotated to triangle W prime X prime Y prime.
Which of the following statements describes the transformation?
W prime X prime Y prime right-arrow W X Y
W X Y right-arrow W prime X prime Y prime
W X Y right-arrow Y prime X prime W prime
X prime Y prime W prime right-arrow W X Y
Answer:
It seems that you are describing a geometric transformation in which triangle WXY is rotated to form triangle W'X'Y'. The correct statement describing this transformation is: "WXY right-arrow W'X'Y'". In this transformation, the triangle is rotated in some way, resulting in the new triangle W'X'Y'.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Express the height of the tree in terms of
trigonometric ratios. (MGSE9-12.G.SRT.6, MGSE9-
12.G.SRT.7)
A. 90 cos 50°
B. 90 sin 50⁰
C. 90 cot 50°
D. 90 tan 50⁰
Answer:
x = 90 Tan 50
107.1
Step-by-step explanation:
Adjacent = 90
Height of the tree(opposite) = x
so what connects adjacent and opposite is TOA
Tanθ = opposite /Adjacent
Tan 50° = x/90
cross multiply
x = 90 Tan 50°
x = 90 × 1.19
x = 107.1m
:- the height of the tree is 107.1m
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consider the following birthday problem. if we randomly selected 3 people born in 2001, what's the probability that they all have different birthdays?
Probability that any one of three outcomes will occur: P(A, B, C), plus P(A, B, C'), plus P(A, B', C);
What is the probability that 3 people have different birthdays?
Since there are 363 days still “unused” out of 365, we have p = 363÷365 = about 0.9945. Multiply that by the 0.9973 for two people and you have about 0.9918, the probability that three randomly selected people will have different birthdays.
Poisson Way. The probability of same-birthdays triplet is 1 / (365 * 365), which is very small, and there are C(n, 3) triplets, which is a big number for the moderately high values of n (~>20).
Calculating the likelihood of three events
Probability that at least one of the three events occurs: Probability that each of the three occurrences will occur: P(A, B, C);
Probability that any one of three outcomes will occur: P(A, B, C), plus P(A, B, C'), plus P(A, B', C);
P() is the likelihood that none of the events will occur.
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I need help please….
The slope of the line as per the given points will be equal to 7/10.
What is the slope?It is possible to determine a line's direction and steepness by looking at its slope.
Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.
As per the given information in the question,
The given points are (25, 24) and (15, 17)
Use the formula to find the slope,
m = (y₂ - y₁)/(x₂ - x₁)
Substitute the values in the above formula,
m = (17 - 24)/(15 - 25)
m = -7/-10
m = 7/10
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An airplane is descending from 35600 ft at 3200ft per mile,
what is the equation for altitude? altitude=a time=t
Also, What is the unit rate of change?
I also have to graph please help!
Answer:
Step-by-step explanation:
Let y be the altitude and x the distance the plane travels from the point of the 35600 ft altitude location (x=0 at that point)
y = 35600 - 3200x
It would be nice to use time instad of distance, but there is no speed of the plane give. It's altitude is espressed only on the basis of miles traveled. If the elevation change were given in feet per minute, or some other unit of time, we can write an equation with time as the x variable.
This equations says:
1) the plane starts at 35,600 ft (since x = 0, the result is 35,600 feet).
2) it descends 2,300 ft for every mile traveled from x = 0.
The unit rate of change is 3200 feet/mile.
The graph is attached.
What is an equation of the line that passes through the point (-1, -3) and is parallel to the line 4x-y=2 Please
Answer:
y = 4x + 1
Step-by-step explanation:
4x - y = 2 => y = 4x - 2
So slope of the above equation is 4.
Parallel lines should have the same slope
Given m = 4, y = -3, x = -1
y = mx + b
-3 = 4(-1) + b
-3 = -4 + b
b = 1
so y = 4x + 1
a sampling technique that is based on the cumulative effect of information that every additional item in the sample adds as it is inspected is called:
A sampling technique that is based on the cumulative effect of information that every additional item in the sample adds as it is inspected is called: sequential sampling.
What is sequential sampling?
Sequential sampling is a non-probability sampling strategy where the researcher selects one or more populations within a time frame, conducts his research, evaluates the findings, and then selects further populations as necessary.
An auditor develops a set of three groups of sampling units, where each successive group contains the same number of units to be sampled. The sampling plan is to continue to the next group of sampling units if the preceding group contains at least one deviation
Simple random sampling, systematic sampling, stratified sampling, and cluster sampling are examples of probability sampling techniques.
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Trevor is planning a picnic for his coworkers and plans to serve veggie burgers. The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic.
Trevor is planning a picnic for his coworkers and plans to serve veggie burgers. The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic.
Trevor is planning a picnic for his coworkers and plans to serve veggie burgers. The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic.
Trevor is planning a picnic for his coworkers and plans to serve veggie burgers. The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic.
v = the number of veggie burgers Trevor prepares
c = the number of Trevor's coworkers who attend the picnic
Which of the variables is independent and which is dependent? = the number of veggie burgers Trevor prepares
= the number of Trevor's coworkers who attend the picnic
Which of the variables is independent and which is dependent?Vv = the number of veggie burgers Trevor prepares
= the number of Trevor's coworkers who attend the picnic
Which of the variables is independent and which is dependent? = the number of veggie burgers Trevor prepares
= the number of Trevor's coworkers who attend the picnic
Which of the variables is independent and which is dependent?
Answer:
Below
Step-by-step explanation:
"The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic."
v is dependent variable (see the quote above)
c is independent
Which fraction represents a repeating decimal?
A 3/5
B 3/8
C 3/10
D3/11
Answer:
D: 3/11
Step-by-step explanation:
3/11 is equal to .2727272727 which is known as a repeating decimal as it is never-ending.
3/5 = .6
3/8 = .375
3/10 = .3
What percentage of people in the U.S. celebrate winter holidays such as hanukkah, christmas, and kwanzaa?
The percentage of people in the U.S. celebrate winter holidays such as hanukkah, christmas, and kwanzaa is above 90%.
How to illustrate the percentage?This holiday season, it should be noted that that 92% of Americans will celebrate Christmas, 5% will celebrate Hanukkah, and 3% will celebrate Kwanzaa. Five percent will celebrate more than one holiday
America has come to appreciate Hanukkah. Hanukkah is celebrated by the majority of American Jews, at least with a family meal or the lighting of a menorah, and the majority of non-Jews in America are aware of the holiday.
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