Mathematics College
Answers
Answer 1
Answer:
first we shift it by 13 units to right
|x|→|x-13|
then 9 units down
|x-13|-9
Related Questions
Which of the following rational functions is graphed below
Answers
The correct answer is option A which is [tex]f(x) =\dfrac{1}{(x+3)(x+5)}[/tex] this expression is showing the graph given in the question.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In the given question we can see the graph. The function [tex]f(x) =\dfrac{1}{(x+3)(x+5)}[/tex] is showing the graph given in the question.
As we put the values of x in the function we will get this type of symmetric graph shown. I also attached the graph I made on the graphing tool in the answer below.
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if a pupil has a score of 60% how many marks out of 150 did he obtain
Answers
Answer:
90
Step-by-step explanation:
60 % = .60 in decimal
.60 (150) = 90
Find the surface area of a water tower that is 40 feet tall and has a diameter of 20 feet.
Answers
Answer:
The surface area is 3140 feet².
What is Surface Area?
Surface area is the amount of space covering the outside of a three-dimensional shape.
Given that:
Diameter = 20 feet
radius = 20 ÷ 2 = 10 feet
Now, Surface area will be,
=2πr²+ 2πrh
= 2 × 3.14 × (10)² + 2 × 3.14 × 10 × 40
= 6.28 × 100 + 6.28 × 400
= 628 + 25.12 × 100
= 628+ 2512
= 3140 feet²
hence, the surface area is 3140 feet².
Step-by-step explanation:
PLSS HELPPP!! Given vector u equals 15 times open angled bracket cos 45 degrees comma sin 45 degrees close angle bracket comma what are the magnitude and direction of −5u?
75; 225°
75; 135°
−75; −135°
−75; 45°
Answers
The answer to your question is the 2 one
Answer:
-75;45
Step-by-step explanation:
To start, it cant be a or b since we are multiplying a positive U times -5, therefore making it negative
-5(15)
-75
then, to find the answer u need to find the right formula
tan(v2/v1) or tan^-1(v2/v1)
for this it is the inverse tangent (tan^-1)
so you have to plug the values in
=tan^-1(sin45/cos45)
which then would equal 45
During a school event, there were 8 times as many pupils as teachers and there were three times as many boys as girls. There were 70 fewer teachers than boys. How many people were there at the school event?
Answers
We know that pupils are students
Students = S
boys = B
Teachers = T
So....
S = 8T
Boys = 3G
T = B - 70
Since there is 8x students than teachers, I did Boys = 6x and girls = 2x
I'm going to use this next: S = 8T
8x = 8(B -70)
8x = 8(6x - 70)
8x = 4x - 560
x = 14
We know there is 8x students, so there are 112 students and we know that there is 1/8 of teachers, so there are 14 teachers.
Answer = 126.
Solve for x and then find the measurement of ∠B.
Answers
Angles
Solve for x and then find the measurement of ∠B.
As you can see in the figure, angle a and b are corresponding angles and they have the same measurements. To solve for the value of x, equate the two angle measurement to each other and simplify.
Given:
A = 5x - 5°B = 3x + 13°
Solution:
5x - 5 = 3x + 135x - 3x = 5 + 132x = 18x = 18/2x = 9
The value of x is 9. To determine the value of b, substitute the value of x to the angle measurement of b and simplify.
Given:
B = 3x + 13x = 9
3(9) + 1327 + 1340
Proving that angle a and b have the same measurements:
5x - 5 = 3x + 135(9) - 5 = 3(9) + 1345 - 5 = 27 + 1340 = 40
Answer:
Therefore, the value of b is 40.
Wxndy~~
Approximate the population mean and standard deviation of age for males.
Age Lower Limit Upper Limit Males Females
0-9 0 9 11 9
10-19 10 19 10 9
20-29 20 29 12 13
30-39 30 39 16 16
40-49 40 49 20 24
50-59 50 59 25 24
60-69 60 69 17 18
70-79 70 79 13 12
Answers
The population mean and standard deviation of age for males are 43.21 and 20.83, respectively
How to determine the population mean and the standard deviation?
The frequency table is given as:
Age Lower Limit Upper Limit Males Females
0-9 0 9 11 9
10-19 10 19 10 9
20-29 20 29 12 13
30-39 30 39 16 16
40-49 40 49 20 24
50-59 50 59 25 24
60-69 60 69 17 18
70-79 70 79 13 12
Rewrite the frequency table to show the class midpoints and the male frequency, only.
Midpoint (x) Male Frequency (f)
4.5 11
14.5 10
24.5 12
34.5 16
44.5 20
54.5 25
64.5 17
74.5 13
The population mean is then calculated using:
[tex]\mu =\frac{\sum fx}{\sum f}[/tex]
This gives
[tex]\mu = \frac{11 * 4.5 + 10 * 14.5 + 12 * 24.5 + 16 * 34.5 + 20 * 44.5 + 25* 54.5 + 17 * 64.5 + 13 * 74.5}{11 + 10 + 12 + 16 + 20 + 25 + 17 + 13}[/tex]
Evaluate
[tex]\mu = 43.21[/tex]
The standard deviation is calculated using:
[tex]\sigma = \sqrt{\frac{\sum f(x - \mu)^2}{\sum f}}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{11 * (4.5 -43.21)^2+....................+ 13 * (74.5-43.21)^2}{11 + 10 + 12 + 16 + 20 + 25 + 17 + 13}}[/tex]
Evaluate the expression
[tex]\sigma = 20.83[/tex]
Hence, the population mean and standard deviation of age for males are 43.21 and 20.83, respectively
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Use the drop-down menus to identify the method used to collect data for each scenario.
While standing in front of the school, Jace recorded the number of students who walked, rode their bikes, took the bus, and were driven there.
Noah researched statistics online about the percentage of babies born with brown eyes.
Lara knew that she had a 25% chance of winning a contest, so she flipped two coins repeatedly to determine how many times two heads occurred.
Answers
The method used to collect data for each scenario is observational study , secondary data , simulation .
What is Data Collection ?
The accumulation of data to perform research , experiment or any other study is called data collection
It is done by different methods.
While standing in front of the school, Jace recorded the number of students who walked, rode their bikes, took the bus, and were driven there. :
Because all feasible channels and techniques were investigated in order to get accurate data, this study is known as an observational study.
Noah conducted research to learn the data pertaining to the proportion of newborns having brown eyes. Since he didn't perform this directly, it is referred to as secondary data.
Lara repeatedly flipped two coins to see how many times two heads appeared because she knew she had a 25% chance of winning a contest. This is an example of simulation because she wanted to see if she would come up with the same outcome.
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Answer:
A. observational study
B. published data
C. study
Step-by-step explanation:
Did the question in edge 2022
What’s the answer for this equation -3 < 2x - 3 < 5
Answers
THE ANSWER IS x € (0,4)
First we separate this into two inequalities:
2x-3>-3
2x-3>-32x-3<5
Now we solve the inequalities:
2x-3>-3
2x>0
x>0
2x-3<5
2x<8
x<4
x € (0,4)
The solution to the given inequality is 0<x<4.
The given inequality is -3<2x-3<5.
Here, the given inequality can be divided into -3<2x-3 and 2x-3<5
Now, -3<2x-3
Add 3 to both the sides of inequality, we get
0<2x
Divide 2 to both the sides of inequality, we get
0<x
In 2x-3<5
Add 3 to both the sides of inequality, we get
2x<8
Divide 2 to both the sides of inequality, we get
x<4
So, the solution is 0<x<4
Therefore, the solution to the given inequality is 0<x<4.
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Which relationships could have a negative correlation? Select three options. number of hours worked and free time speed of a car and minimum stopping distance the speed of a train and the length of time to reach the destination adult’s head circumference and age a tadpole’s age and the length of it’s tail
Answers
Answer:
hope you can understand
Answer
- number of hours worked and free time
- a tadpole’s age and the length of its tail
- the speed of a train and the length of time to reach the destination
Step-by-step explanation:
The more hours worked, the less free time they will have
The older a tadpole gets, the shorter its tail gets because it is turning into a frog
The faster a train. the shorter time it takes to get to a place
Hey Sydney made three times as much as Cassie made. If the difference in their pay was $74 how much money did each make
Answers
Answer: Sydney made $111, Cassie made $37
Step-by-step explanation:
If Cassie's money is x, then Sydney is 3x. 3x - x = $74, so x = $37.
a school logo is in the form of the letter c which is surrounded by a circle. suppose the circle is centred at (0,0) and suppose the point (-2,4) lies on the circle.
write an equation of the circle.
Answers
a school sligo is in the form of the lette c which is sureiounded by a chord fr duopoe the circle is cents 0,0 and suppose the point -2,4 lies on the circle
Suppose that (x_n) and (y_n) are Cauchy sequences in a metric space (X,d). Show that the numerical sequence a_n=d(x_n,y_n) converges.
Answers
[tex]d(x_{n} , x_{m}) + d(y_{n}, y_{m})[/tex][tex]d(x_{n} , x_{m}) - d(y_{n}, y_{m})[/tex]According to proof, the sequence ([tex]r_{n}[/tex])=(d([tex]x_{n}[/tex],[tex]y_{n}[/tex])) is Cauchy. See the proof below.
What does it mean for an expression to be Cauchy?
A Cauchy statement, in the language of mathematics, is a progression of components that are arbitrarily near to one another.
What is the proof for the above Cauchy expression?
Let ε > 0
N ∈ N in a way that
Whenever n, m > N, the result is:
|[tex]r_{n} - r_{m}[/tex]|
= |[tex]d(x_{n} , y_{n}) - d(x_{m}, y_{m})[/tex] |
= | ([tex]d(x_{n} , y_{n}) - d(x_{m}, y_{n}) + d(x_{m}, y_{n}) - d(x_{m}, y_{m})[/tex]|
≤ |[tex]d(x_{n} , y_{n}) - d(x_{m}, y_{n}) | + | d(x_{m} , y_{n}) - d(x_{m}, y_{m})[/tex] |
≤ [tex]d(x_{n} , x_{m}) - d(y_{n}, y_{m})[/tex] < ε
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please help me with this problem
Answers
Answer:
The square,
Step-by-step explanation:
If you see, on the left of the square, it says 4 units. And on the right of the square it says for units Those are opposites
Find the centre of the circle
x^2 + y^2 + 4x - 6y = 12
Answers
Answer:
centre = (- 2, 3 )
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² + 4x - 6y = 12 ( collect x/ y terms )
x² + 4x + y² - 6y = 12
using the method of completing the square
add ( half the coefficient of the x/ y terms)² to both sides
x² + 2(2)x + 4 + y² + 2(- 3)y + 9 = 12 + 4 + 9
(x + 2)² + (y - 3)² = 25 ← in standard form
with centre (- 2, 3 ) and r = [tex]\sqrt{25}[/tex] = 5
18) Solve for x. (-2x-6° X )
Answers
Answer:
-8x
Step-by-step explanation:
Subtract 6°x from -2x.
Answer: -8
Step-by-step explanation:
Use a unit multiplier to convert
$15.00 per hour to dollars per
minute. Show your work.
Answers
$15/1 hour= $15/60 minutes= $0.25/1 minute (did this by diving 15 by 60)
p
Line m has a y-intercept of cand a slope of 9, where p>0, q> 0, and p + q.
What is the slope of a line that is perpendicular to line m?
-q/p
P/q
q/p
-p/q
Answers
So slope of the line m is 9
We know perpendicular lines have slopes negative reciprocal to each other and their product of slopes is -1
9m2=-1m2=-1/9
If slope of m is p/q then slope of perpendicular line is -q/p and vice versa
Answer:
[tex]-\dfrac{q}{p}[/tex]
Step-by-step explanation:
Slope-intercept form of a Linear Equation:
[tex]y = mx + b[/tex]
where:
m is the slopeb is the y-intercept
If line m has a y-intercept of c and a slope of p/q, then:
[tex]\textsf{Equation of line m}: \quad y = \dfrac{p}{q}x + c[/tex]
If two lines are perpendicular to each other, the product of their slopes will be -1.
Let a = slope of the line perpendicular to line m.
[tex]\implies a \times \dfrac{p}{q}=-1[/tex]
[tex]\implies a=-\dfrac{q}{p}[/tex]
Therefore, the slope of the a line that is perpendicular to line m is:
[tex]-\dfrac{q}{p}[/tex]
Sequences
47, 40, 33,
,19,
,5
400, 299,
,97,-4,
Answers
Answer:
1- Ans; 47 , 40 , 33 , 26 , 19 , 12 , 5
2- Ans; 400 , 299 , 198 , 97 , - 4 , - 105
Step-by-step explanation:
[tex]47 - 40 = 7 \\ 40 - 33 = 7 \\ 5 + 7 = 12 \\ 12 + 7 = 19 \\ 19 + 7 = 26 \\ 26 + 7 = 33[/tex]
[tex]400 - 299 = 101 \\ 299 - 101 = 198 \\ 198 - 101 = 97 \\ 97 - 101 = - 4 \\ - 4 - 101 = - 105[/tex]
Why is it important to make sure digits and decimals line up when adding and subtracting numbers with decimals? Explain by evaluating the following problem: 320.456 - 145.73.
Answers
when evaluating decimals, it’s important to make sure they line up because the result could lead to a completely different number. for example, 320.456-145.73 is 174.83 and not making sure the decimal is in the correct place can result in 17.483 which is obviously different
The lines of the equations are parallel, perpendicular, or neither. y = 2x + 3 y = 2x 1)parallel
2)perpendicular
3)neither
Answers
Answer:
Parallel
Step-by-step explanation:
Parallel lines:
The parallel lines have same slope.
y = 2x + 3
Compare with slope y-intercept form of the line: y = mx +b
m is slope and b is the y-intercept.
slope of this line = 2
y = 2x
Slope = 2
These lines have same slope. So, they are parallel.
NO LINKS!!!! Find the equation of the circle below
Answers
Centre(-3,2)
diameter=6 units [0-(-6)=6units ]
radius=6/2=3
Equation of circle
[tex]\\ \rm\Rrightarrow (x-h)^2+(y-k)^2=r^2[/tex]
For centre(h,k) and radius r
So our equation
[tex]\\ \rm\Rrightarrow (x+3)^2+(y-2)^2=3^2[/tex]
[tex]\\ \rm\Rrightarrow (x+3)^2+(y-2)^2=9[/tex]
Answer:
[tex](x+3)^2+(y-2)^2=9[/tex]
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where:
(a, b) is the centerr is the radius
From inspection of the diagram, the center of the circle appears to be at point (-3, 2), although this is not very clear. Therefore, a = -3 and b = 2.
Substitute these values into the general form of the equation of a circle:
[tex]\implies (x-(-3))^2+(y-2)^2=r^2[/tex]
[tex]\implies (x+3)^2+(y-2)^2=r^2[/tex]
Again, from inspection of the diagram, the maximum vertical point of the circle appears to be at y = 5. Therefore, to calculate the radius, subtract the y-value of the center point from the y-value of the maximum vertical point:
⇒ radius (r) = 5 - 2 = 3
Substitute the found value of r into the equation:
[tex]\implies (x+3)^2+(y-2)^2=3^2[/tex]
Therefore, the final equation of the given circle is:
[tex]\implies (x+3)^2+(y-2)^2=9[/tex]
If triangle ABC was reflected over the x-axis, what would be the coordinates of B’?
a(-3, 4)
b(3, -4)
c(4, -3)
d(-4, 3)
Answers
The coordinates of B’ is given by D. A'(2, -5)
Since point A is at (2, 5), and you are reflecting it across the x-axis, you take a look at the y-coordinate.
What is the reflecting axis?
A reflection of a point, a line, or a figure in the X-axis involved reflecting the image over the x-axis to create a mirror image. In this case, the x-axis would be called the axis of reflection.
Since it is five above the x-axis, you go five below the x-axis, or just give the opposite of 5, which is -5.
So, A' is at (2, -5).
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Answer:
c (4, -3)
Step-by-step explanation:
took the quiz
PLEASE HELP ASAP!!!!!
Answers
Answer:
0.01296
Step-by-step explanation:
I looked it up on this website: https://www.symbolab.com/solver/simplify-calculator/simplify%206%5E%7B-1%7D.6%5E%7B5%7D?or=input
That's the link to the solution, it shows you the steps, and you can look up other simplify questions there. It used to help me a lot.
To multiply powers with the same base, add their exponents. Add −1 and 5 to get 4.
6⁴
To calculate a power, multiply the base as indicated by its exponent. So:
The number 6 is the base.4 is the exponent.
Therefore the number 6 will be multiplied 4 times,
6 × 6 × 6 × 6 = 1296
1296 ===> Answer
only answer if you know! no spams :)
Answers
Answer:
0%: Impossible
25%: Unlikely
50%: Equally likely
75%: Likely
100%: Certain
Answer:
See below ~
Step-by-step explanation:
The correct percentages matched with their likelihoods are :
⇒ 0% → c. Impossible
⇒ 25% → b. Unlikely
⇒ 50% → a. Equally likely
⇒ 75% → e. Likely
⇒ 100% → d. Certain
Solve the the equation tan(x+pi/3) = sqrt 3/3 over the interval [0, 2].
Answers
Rewrite the right side as √3/3 = 1/√3, and recall that tan(x) = 1/√3 when x = π/6. Then since tan is π-periodic, taking the inverse tan of both sides gives
[tex]\tan\left(x + \dfrac\pi3\right) = \dfrac1{\sqrt3} \implies \tan^{-1}\left(\tan\left(x + \dfrac\pi3\right)\right) = \tan^{-1}\left(\dfrac1{\sqrt3}\right) + n\pi[/tex]
[tex]\implies x + \dfrac\pi3 = \dfrac\pi6 + n\pi[/tex]
where n is any integer. Solving for x, we get
[tex]x = -\dfrac\pi6 + n\pi[/tex]
and the solutions in the interval [0, 2π] are x = 5π/6 and x = 11π/6 (for n = 1 and n = 2).
the diameter of a circle is 14 inches.Fund the circumference and area.Use 22/7 for pie
Answers
Answer:
[tex]area = 154 {in}^{2} \\ circumference = 44inches[/tex]
Step-by-step explanation:
The solution is in the image
If the nurse to patient ratio is 3:15, how many nurses would you expect to see in a unit with 37 patients?
Answers
if there are 3 nurses to every 15 patients, that means there is 1 nurse to every 5 patients since we can divide by 3 to simplify the ratio.
in order to find how many nurses would care for 37 patients, we can divide by 5.
37/5 = 7.4 nurses.
however, we cannot have .4 of a nurse, so you can either say 7 nurses or 8 nurses, but 7.4 rounds down to 7.
What are the values for the coefficients and constant term of 2 + 3x² - 5x?
a=
B=
C=
Answers
Answer:
a=3
b=-5
c=2
Step-by-step explanation:
Because first arrange them in decreasing order by their variables powers like this 3x²-5x+2 after that take the the coefficients
An image of a rectangular prism is shown below: Part A: If a cross section of the prism is cut perpendicular to the base, what would be the shape of the resulting cross section? Explain your answer. (5 points) Part B: If a cross section of the prism is cut diagonal to the base, what would be the shape of the resulting cross section? Explain your answer. (5 points)
Answers
A: it would be a rectangular prism as well! a section perpendicular to the base is parallel to the sides of the prism
B: the section would be a triangular prism!
whenever I get those questions, I always imagine a small cube of cheese, and if you have trouble imagining sections etc, I'd really suggest trying it! it sharpens your mind and helps you understand how it looks! otherwise, a great program for visualizing math problems is geogebra. it not only helps you draw everything out but solves your problems half of the time tbh