Answer:
(3,-2)
Step-by-step explanation:
-5/3x + 3 = 1/3x - 3
-5/3x = 1/3x - 6
-2x = -6
x = 3
y = -5/3(3) + 3
y = -5 + 3
y = -2
If Ahmad’s balance is $85, what will the minimum payment be?
his balance will be 20 dollars
Please how do I solve this.
Answer:
Horizontal Shift: Right 1
Vertical Shift: Down 5
Reflection: None
Explanation: To find the transformation, compare the function to the parent function (being in this case g(x)=1/x) and check to see if there is a horizontal or vertical shift or a reflection.
So, the answer would be Right 1, and down 5
Hope this helps you out :)
For a normal distribution with mean 47 and standard deviation 6, find the probability of obtaining a value less than 45 or greater than 49.
Answer:
0.7392 = 73.92% probability of obtaining a value less than 45 or greater than 49.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 47 and standard deviation 6
This means that [tex]\mu = 47, \sigma = 6[/tex]
Less than 45:
p-value of Z when X = 45, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 47}{6}[/tex]
[tex]Z = -0.3333[/tex]
[tex]Z = -0.3333[/tex] has a p-value of 0.3696.
More than 49:
1 subtracted by the p-value of Z when X = 49. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{49 - 47}{6}[/tex]
[tex]Z = 0.3333[/tex]
[tex]Z = 0.3333[/tex] has a p-value of 0.6304.
1 - 0.6304 = 0.3996
Less than 45 or greater than 49:
2*0.3696 = 0.7392
0.7392 = 73.92% probability of obtaining a value less than 45 or greater than 49.
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW. Find each measurement indicated. Round your answers to the nearest tenth. Part 3ddd
Answer:
see below
Step-by-step explanation:
7. We can use the law of sines to solve
sin C sin B
-------- = ----------
AB AC
sin 45 sin 32
--------- = ----------
AB 6
Using cross products
6 sin 45 = AB sin 32
6 sin 45 / sin 32 = AB
8.00620 = AB
To the nearest tenth
8.0= AB
9. We can use the law of sines to solve
sin A sin B
-------- = ----------
CB AC
sin A sin 88
-------- = -----------
13 15
Using cross products
15 sin A = 13 sin 88
sin A = 13/15 sin 88
Taking the inverse sin of each side
sin^-1(sin A) = sin ^-1 (13/15 sin88)
A = 60.01298726
To the nearest tenth
A =60.0
A line has a slope of 11 and passes through the point (5,7). Which of these is an equation for the line? O A. y-7 = -11(x - 5) B. y + 7 = 11(x + 5) O C. y-5 = -11(x - 7) O D. y - 7 = 11(x - 5) SUBMIT
Answer:
D. y - 7 = 11(x - 5)
Step-by-step explanation:
Use point slope form, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Plug in the given slope and point:
y - y1 = m(x - x1)
y - 7 = 11(x - 5)
So, the correct answer is D. y - 7 = 11(x - 5)
Question
(X-5y/y3)-1=
Answer:
[tex]x = y^3+5y[/tex]
Step-by-step explanation:
Complete question
[tex]\frac{x - 5y}{y^3} - 1=0\\[/tex]
Required
Solve for x
We have:
[tex]\frac{x - 5y}{y^3} - 1=0[/tex]
Collect like terms
[tex]\frac{x - 5y}{y^3} = 1[/tex]
Multiply through by [tex]y^3[/tex]
[tex]x - 5y = y^3[/tex]
Make x the subject
[tex]x = y^3+5y[/tex]
10. In a group of 50 people, there are two types of professionals, engineers and managers. If 36 of them are engineers and 24 of them are managers, how many persons are both managers and engineers?
Step-by-step explanation:
The photo above is the Venn diagram
Now, the number of persons that are both managers and engineers= n
Since, Total number of persons is 50
Therefore, 50= M+n+E
M only = 36-n
E only = 24-n
Therefore, 50= 36 - n + n + 24 - n
50 = 36+24-n
50 = 60 - n
60 - n = 50
-n = 50 - 60
-n = - 10
Therefore, n = 10
Therefore, the number of persons that are both Managers and Engineers is 10persons.
Write a linear equation representing the information shown in the table.
A) y = –2∕5x – 5
B) y = –5∕2x – 5
C) y = 5∕2x – 5
D) y = 2∕5x – 5
Answer:
C. y = ⁵/2x - 5
Step-by-step explanation:
The linear equation representing the information on the table can be expressed in the slope-intercept form as y = mx + b, where,
m = slope = change in y/change in x
b = y-intercept/initial value = the value of y when x is zero
✔️Find m using two pairs given, say (0, -5) and (2, 0):
slope (m) = (0 - (-5))/(2 - 0) = 5/2
m = ⁵/2
✔️Find b:
when x = 0, y = -5. Therefore, y-intercept, b, is -5
b = -5
✔️To write the equation, substitute m = ⁵/2 and b = -5 into y = mx + b
Thus:
y = ⁵/2x + (-5)
y = ⁵/2x - 5
tìm m để đồ thị hàm số y=x^4-2mx^2+1 cắt trục hoành tại 4 điểm phân biệt
Answer:
Step-by-step explanation:
Tìm cc
Which of the following best describes the line that divides a design so that
every point on one side of the line coincides with a point on the other side of
the line?
A. Line of Symmetry
B. Point of Translation
C. Angle of Symmetry
D. Point of congruency
Answer:
Line of Symmetry i think
Line of symmetry best describes the line that divides a design so that every point on one side of the line coincides with a point on the other side of the line.
What is Coordinate Geometry?Coordinate Geometry (or the analytic geometry) describes the link between geometry and algebra through graphs involving curves and lines.
A line of symmetry is a line that divides a figure into two congruent parts such that if one part is folded over the line of symmetry, it will coincide with the other part.
In other words, each point on one side of the line of symmetry is equidistant from the line as the corresponding point on the other side of the line.
The line that divides a design so that every point on one side of the line coincides with a point on the other side of the line is called the Line of Symmetry.
Hence, line of symmetry best describes the line that divides a design so that every point on one side of the line coincides with a point on the other side of the line.
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Quadrilateral JKLM is rotated - 270° about the origin.
Draw the image of this rotation
Need a visual answer please! Thanks!
Answer:
Step-by-step explanation:
When the quadrilateral JKLM is rotated - 270° about the origin then the image of rotated quadrilateral is shown below.
What is rotation?"It is a transformation in which the object is rotated about a fixed point. "
For given question,
Quadrilateral JKLM is rotated - 270° about the origin.
This means, quadrilateral JKLM is rotated 270° clockwise about the origin.
We know, if point P(x, y) is rotated 270° clockwise or 90° anticlockwise then the coordinated of rotated point would be (-y, x).
From figure, the coordinates of the quadrilateral JKLM are:
J = (3, 3)
K = (5, -5)
L = (-3, -7)
M = (3, -3)
After rotating -270° about the origin the coordinates of the quadrilateral would be,
J' = (-3, 3)
K' = (5, 5)
L' = (7, -3)
M' = (3, 3)
And the image of the rotated quadrilateral J'K'L'M' is shown below.
Therefore, when the quadrilateral JKLM is rotated - 270° about the origin then the image of rotated quadrilateral is shown below.
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The initial population of the town was estimated to be 12,500 in 2005. The population has increased by about 5.4% per year since 2005.
Formulate the equation that gives the population, A(x) , of the town x years since 2005. If necessary, round your answer to the nearest thousandth.
A(x)=__(_)^x
Answer:
[tex]A(x) = 12500(1.054)^x[/tex]
Step-by-step explanation:
Exponential equation for population growth:
Considering a constant growth rate, the population, in x years after 2005, is given by:
[tex]A(x) = A(0)(1 + r)^x[/tex]
In which A(0) is the population in 2005 and r is the growth rate, as a decimal.
The initial population of the town was estimated to be 12,500 in 2005.
This means that [tex]A(0) = 12500[/tex]
The population has increased by about 5.4% per year since 2005.
This means that [tex]r = 0.054[/tex]
So
[tex]A(x) = A(0)(1 + r)^x[/tex]
[tex]A(x) = 12500(1 + 0.054)^x[/tex]
[tex]A(x) = 12500(1.054)^x[/tex]
May I get help with this question?
Answer:
C. <F
Step-by-step explanation:
The angle that sees the largest side length has the largest measurement.
Amongst the given side lengths the one that sees <F has the longest length so the answer is C
Write –0.38 as a fraction.
Answer:
-19/50
Step-by-step explanation:
Answer:
-19/50
Step-by-step explanation:
Points T, R, and P, define _____Points B, A, and E are:
Point A is located at (2, 4). Point B is located at (-2, 4). Point C is located at (-2, -4). Point D is located at (2, -4). Point E is located at (4, 4).
Answer:
Point T,R,P not seen how I don't understand your question.
Determine whether the integral from -3 to infinity 1/sqrt (5 - x) is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as divergent .
It's divergent because 1/√(5 - x) is defined only for x < 5, which means the integral from 5 to infinity doesn't exist.
What are some acceptable ways to name an line
Answer:
If there are points that are named you can name it that way
Step-by-step explanation:
If there is a point and it's called A, and there is another point and it is called B, and they form a line together, you can call it "Line AB"
Hannah's suitcase has the following dimensions.
length: 27 inches
width: 21 inches
depth: 14 inches
What is the volume of Hannah's suitcase in cubic inches?
Answer:7938 inches square
Step-by-step explanation:
multiply everything
Answer:
7938
Step-by-step explanation:
In the given figure L1and L2 are two parallel sides . if the area of the rectangle PQRS is 60cm^2 then what is the area of the parallelogram PQRS.
Answer:
Step-by-step explanation:
Believe it or not, the two areas are the same.
The base of the rectangle is PQ
The height of the rectangle is PS
Now look at the parallelogram.
The base is PQ
The height is PS
The area has to be the same in both cases. There is no other way to interpret what is happening.
In a car lot, the ratio of the number of new cars to the number of preowned cars is 6 to 5. The total number of new and preowned cars on the lot is 66. If 4 new cars and 2 preowned cars are sold and are removed from the lot, what fraction of the remaining cars on the lot are preowned?
The fraction of the remaining cars in the lot that are preowned is 7/15
In order to determine the fraction of the remaining cars in the lot that are preowned, we have to first determine the total number of new cars and preowned cars before the sale occurred.
Total number of preowned cars before the sales = (ratio of preowned cars / total ratio) x total number of cars
ratio of preowned cars = 5
total ratio = 6 + 5 = 11
total number of cars = 66
(5/11) x 66 = 30 cars
Total number of new cars before the sale = (ratio of new cars / total ratio) x total number of cars
ratio of new cars = 6
total ratio = 6 + 5 = 11
total number of cars = 66
(6/11) x 66 = 36 cars
Total number of new cars after the sale = total number of new cars before the sale - number of new cars sold
36 - 4 = 32
Total number of preowned cars after the sale = total number of preowned cars before the sale - number of preowned cars sold
30 - 2 = 28
The fraction of the remaining cars on the lot that are preowned = number of preowned cars after the sale / total number of cars on the lot after the sale
total number of cars on the lot after the sale = 28 + 32 = 60
28/60
to convert to the simplest term, divide the numerator and the denominator by 4
7/15
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You randomly select one card from a 52-card deck. Find the probability of selecting the 9 of spades or the 3 of clubs.
The probabilitiy is ___.
(Type an integer or a fraction. Simplify your answer.)
Answer:
2/52=1/26
Step-by-step explanation:
which one of these points lies on the line described by the equation below y - 5 = 6 ( x - 7 )
Answer:
the answer would be (7,5)
Help please anyone???
9514 1404 393
Answer:
x^2/1 +y^2/81 = 1
Step-by-step explanation:
We know that the equation of a unit circle is ...
x^2 +y^2 = 1 . . . . . equation of a unit circle
We also know that replacing x with x/a in a function will expand the graph by a factor of 'a'. Similarly, replacing y with y/b will do the same in the vertical direction.
An ellipse is a circle that has had different expansion factors applied along its different axes. Here, the given points tell us the center of the ellipse is (0, 0), and that it has been expanded by a factor of 9 in the y-direction and a factor of 1 in the x-direction This means the equation for it would be ...
(x/1)^2 +(y/9)^2 = 1 . . . . . equation for desired ellipse
In the required form, this is ...
[tex]\dfrac{x^2}{1}+\dfrac{y^2}{81}=1[/tex]
Max needs to paint a wall that is shaped like a square. He knows that the area of the wall is 75 ft2 . He needs to find the height of the wall. Find the height of the wall to the nearest tenth of a foot.
Answer:
8.7 feet
Step-by-step explanation:
Use the square area formula, a = s², where s is the side length of the square.
Plug in the area and solve for s:
a = s²
75 = s²
√75 = s
8.7 = s
So, to the nearest tenth of a foot, the height is 8.7 feet
plz help with this:)
9514 1404 393
Answer:
-4
Step-by-step explanation:
The point (x, y) = (0, 0) is on the line, so it represents a proportional relation. Any ratio of y to x will be the slope. The choice that makes this computation easiest is ...
x = 1, y = -4
y/x = -4/1 = -4
The slope of the line is -4.
1. Find the value of the unknown angles in the following diagram.
Answer:
z= 40
y=140
x= 115
Step-by-step explanation:
look at the pics
ABC are points; (2,3), (4,7), (7,3) respectively. Find the equation of the line through the point (3,-5) which is parallel to the line with the equation 3x+2y-5=0
Answer:
y = -3x/2 - 1/2
Step-by-step explanation:
slope m = -3/2
-5 = (-3/2)×3+b
or, b = -1/2
putting it into y = mx + b
y = -3x/2 - 1/2
Answered by GAUTHMATH
2 1 /2 + 3 1 /3 + 1 5/6 =
Answer:
10 2/3 is ther answer simplified
Step-by-step explanation:
7 2/3
(Decimal: 7.666667)
The stem-and-leaf plot lists the ages of customers in a bookstore.
How many customers are 19 or younger?
Enter your answer in the box.
Answer:
Step-by-step explanation:
A bucket contains 4 red balls that are numbered 1, 2, 3, 4. It also contains 6 black balls that are numbered 5, 6, 7, 8, 9, 10. Two balls are drawn from the bucket, one at a time, without replacement. Use this information to answer the following probability questions. Express answers as fractions, or round decimal answers to 4 decimal places. a. What is the probability that the first ball is even and the second ball is odd
The probability is 1/9
We want to find the probability that the first drawn ball is even, and the second is odd.
The probability of randomly drawing an even ball will be equal to the quotient between the number of balls with even numbers and the total number of balls in the bucket.
We have a total of 10 balls (4 red ones and 6 black ones)
and 5 of these have even numbers (2, 4, 6, 8, 10)
Then the probability of drawing a ball with an even number first is:
p = 5/10 = 1/5
now we want to get a ball with an odd number.
notice that we already got a ball with an even number and we did not replace it, so now there are 9 balls left in the bucket, 5 odd ones, and 4 even ones.
The probability of getting an odd ball is computed in the same way thana above, as the quotient between the number of balls with odd numbers (5) and the total number of balls in the bucket (9)
q = 5/9
The joint probability (the probability that these two events happen together) is equal to the product of the individual probabilities, so we will get:
P = p*q = (5/9)*(1/5) = 1/9
The probability is 1/9
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