Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex](x_1,y_1) = (1,-9)[/tex] -- point
[tex]x = -3[/tex] --- slope
Required
Plot the graph
First, we determine the equatio using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = -3*(x - 1) -9[/tex]
Open bracket
[tex]y = -3x + 3 -9[/tex]
[tex]y = -3x -6[/tex]
See attachment for graph
In 2000 a company increased its workforce by 60%. In 2001 it decreased its workforce by 60%. How does the size of its workforce at the end of 2001 compare with the size of the workforce at the beginning of 2000?
A) It is 36% lower.
B) It is 6% lower.
C) It is unchanged.
D) It is 36% higher.
I know that the answer is A, but I'm having trouble figuring out the steps. Can anyone help me?
Therefore, the solution of given problem of percentage indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.
A percentage is defined.A% is a number that expresses a quantity as a percentage of 100; it can also be expressed as a decimal or a fraction. Placing 100 in the denominator and the percentage value in the numerator will allow you to convert a percentage to a fraction.
Here,
Before any changes,
let w represent the size of the workforce. There are:
50 percent growth is equivalent to increasing by 1.5, therefore w(2000) = w(1999) * 1.5
A 50% drop is equal to dividing by 1.5, therefore w(2001) = w(2000)/1.5
Reverse the first equation to create the second equation.
w(2001) = w(1999) * 1.5/1.5
Remove the 1.5 from the top and bottom so that w(2001) = w (1999)
Therefore, this indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.
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What is the rate of change of the function y= 3/4x - 2
Answer:
rate of change = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{3}{4}[/tex] x - 2 ← is in slope- intercept form
with slope m = [tex]\frac{3}{4}[/tex]
the slope is a measure of the rate of change , then
rate of change = [tex]\frac{3}{4}[/tex]
The diameter of a circle measures 18yd . What is the circumference of the circle? Use3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.
Given ,
The diameter of a circle measures 18ydTo Find : The Circumference of a circle
Radius can be the determined by the formula
[tex]r = \frac{d}{2} \\r = \frac{18}{2} \\r = 9yd[/tex]
Now we can apply the formula of the circumference of a circle which is,
[tex]Circumference = 2\pi r[/tex]
[tex]Circumference = 2X3.14X9[/tex]
[tex]Circumference = 56.52[/tex]
Hence , the Circumference of a circle is 56.52yd
Slope intercept form
Answer:
The formula for finding Slope Intercept Form is y = mx + b.
Step-by-step explanation:
Y - Y coordinate
M - Slope
X - X coordinate
B - Y Intercept
This formula is used for finding the equation of a line.
What is the volume of a right rectangular prism that measures 4 inches
long, 3 inches wide, and 6 inches high?
A
75 inches3
B.
13
1 inches
C.
72 inches
D
81 inches 3
Answer:
72
Step-by-step explanation:
you multiply length x width x height and you get your answer
HELP ME !! AND EXPLAIN HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Answer:
D = 75°E = 37°F = 68 ° GivenStep-by-step explanation:
[tex](13x - 3) + (6x + 1) + (68) = 180 \\ 19x + 66 = 180 \\ 19x = 180 - 66 \\ x = \frac{114}{19} \\ x = 6 \\ \\ \\ d = 13x - 3 \\ d = 13(6) - 3 \\ d = 75 \\ \\ e = 6x + 1 \\ e = 6(6) + 1 \\ e = 37 \\ \\ f = 68 \\ \\ check \: \: \: 75 + 37 + 68 = 180[/tex]
I hope that is useful for you :)
‼️PLEASE HELP ASAP!!!!‼️
Select the table that represents a linear function. (Graph them if necessary.)
What are the main things I need to know when doing variables on both sides of the equation?
Answer:
Make sure to keep track of the signs of the variables. If you add or subtract a variable on one side of the equation, you must do the same to the other side.
Don't forget to distribute if you have a variable inside parentheses. For example, if you have 3x + 2(x + 4) = 7, you would need to distribute the 2 to get 3x + 2x + 8 = 7.
When solving for a variable, make sure to perform the same operation on both sides of the equation to isolate the variable. For example, if you want to solve for x in the equation 3x + 2 = 7, you would need to subtract 2 from both sides to get 3x = 5.
Two numbers total 43 and have a difference of 11 Find the two numbers.
Answer:
27 and 16
27 + 16 = 43
And the difference between them ( 27-16) = 11
Step-by-step explanation:
For the question below, think carefully about what you divide 80 by to calculate the value of one part.
In a housing estate the direct proportion of flats to houses is 2:5. If there are 80 flats, how many houses are there?
Answer:
200
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] = [tex]\frac{80}{x}[/tex]
2 x 40 = 80, so
5 x 40 = 200
Answer:
200 houses
Step-by-step explanation:
Flat: 2 parts = 80 flats
1 part => 80 : 2 = 40 flats
Houses: 5 parts = 40 x 5 = 200 houses
Which expression could be used to determine the product of –4 and 3 and one-fourth?
(negative 4) (3) times (negative 4) (one-fourth)
(negative 4) (3) + (negative 4) (one-fourth)
(3) (negative 4) times (3) (one-fourth)
The expression which could be used to determine the product of -4 and 3 and one-fourth as required is; negative 4) (3) + (negative 4) (one-fourth).
Which expression can be used to determine the product of the given word phrase?As evident in the task content; the expression which could be used to determine the product of; -4 and 3 and one-fourth is required to be determined.
Since the given expression is; -4 and 3 and one-fourth; we have that;
-4 × 3 ¼
However, since 3 ¼ can be written as; ( 3 + ¼ ), it follows that we have;
-4 × ( 3 + ¼ )
Ultimately, the resulting expression using the distributive property is;
( -4 ) ( 3 ) + ( -4 ) ( ¼ )
Therefore, the correct answer is; (negative 4) (3) + (negative 4) (one-fourth).
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Find the volume of the given prism. Round to the nearest tenth if necessary.
Find the surface area of the cylinder to the nearest whole number,
Answer:
18. 2,047.5 yd³
19. 3204 in.²
Step-by-step explanation:
18. Volume of triangular prism = triangular base area × height of prism
Height of prism = 21 yd
Triangular base area = ½*b*h
b = 15 yd
h = √(15² - 7.5²) = √168.75 ≈ 13 yd
Triangular base area = ½*15*13 = 97.5 yd²
Plug in the values into the formula of the volume of prism
Volume of prism = 97.5 × 21
= 2,047.5 yd³
19. Surface area = 2πrh + 2πr²
Where,
r = 15 in.
h = 19 in.
Plug in the values
Surface area = 2*π*15*19 + 2*π*15²
Surface area = 3204.42 ≈ 3204 in.² (nearest whole number)
if x=1−sin a and y= 1+cos a, Express y in terms of x and a only
Answer:
Step-by-step explanation:
Given
[tex]x=1-sin(a)\\y=1+cos(a)[/tex]
Solve for [tex]a[/tex] in the second equation.
[tex]y=1+cos(a)[/tex]
[tex]y-1=cos(a)[/tex]
[tex]a=cos^{-1}( y-1)[/tex]
Insert our answer for [tex]a[/tex] into the first equation.
[tex]x=1-sin(a)[/tex]
[tex]x=1-sin(cos^{-1}( y-1))[/tex]
[tex]cos^{-1}=arccos[/tex]
[tex]x=1-sin(arccos( y-1))[/tex]
Lets simplify [tex]1-sin(arccos( y-1))[/tex]
A piece of graph paper would be helpful in my opinion.
Here is how I would go about doing so
Draw a triangle in the plane with vertices [tex](y-1,\sqrt{1^2-(y-1)^2}),(y-1,0)[/tex] and the origin.
[tex]arccos(y-1)[/tex] is is the angle between the positive x-axis and the ray beginning at the origin and passing through [tex](y-1,\sqrt{1^2-(y-1)^2})[/tex]. Therefore [tex]sin(arccos(y-1))[/tex] is [tex]\sqrt{1-(y-1)^2}[/tex]
Now we have
[tex]x-1-\sqrt{1-(y-1)^2}\\a=arccos(y-1)[/tex]
We can write [tex]1[/tex] as [tex]1^2[/tex]. Since both terms are now perfect squares, we can factor using the difference of squares formula.
[tex]a^2-b^2=(a+b)(a-b)[/tex] where [tex]a=1[/tex] and [tex]b=y-1[/tex]
[tex]x=1-\sqrt{(1+y-1)(1-(y-1))}[/tex]
After simplifying we get
[tex]x=-\sqrt{y(-y+2)}+1[/tex]
[tex]x=-\sqrt{y(-y+2)}+1[/tex]
[tex]a=arccos(y-1)[/tex]
I think this is what your question was. If not let me know.
In this sampling method we believe there are significant differences between groups comprising the population. Here we assign the population into groups and then try to replicate those percentages present in the population in our sample. As a result we randomly select people out of each group to try and get a representative sample from each of the groups of interest. Which sampling method is this?
Answer:
Proportionate Stratified Random Sampling.
Step-by-step explanation:
Sampling is the process of selecting a small group representative of population.
Stratified Random Sampling is used when population is too heterogeneous, ie too dissimilar. This method includes dividing population into various dissimilar groups [stratas] , similar within themselves. Then, sample is taken from each strata (group), making it good representative of population variety.
If sampling structure is such that - sample units are selected from each strata, in proportion to the strata's presence in population - It is called Proportionate Stratified Random Sampling.
Eg : Dividing population in gender (men, women, other) stratas & taking sample from each strata - in proportion to particular gender in population
Math Kangaroo Brazil 2020 Grade 7-8 Question. Please Solve both question 25 and 26
According to the information, Jonas realized that the four-digit sequence showing the distance traveled was the same sequence showing the time at 22h10min (question 25). Also, Lady Josephine removed 1/2 of impurities of the package of beans (question 26).
How to calculate at what time Jonas realized the sequences of distance, and time were the same (Question 25)?To calculate at what time Jonas realized the sequences of distance and time were the same we have to perform the following mathematics operation:
21h00min - 22h10min = 1h10min = 70 min1 min = 0.016h70 min = 1.16h1.16h + 21h = 22.1h = 22h10minHow to calculate what fraction of the total amount of impurities was removed from the package (question 26)?To calculate what fraction of the total amount of impurities was removed from package we have to perform the following mathematical operation:
Total impurities in package: 8%Impurities removed from the package: 4%8 / 2 = 4According to the above, we can infer that 4% of impurities equals 50% or 1/2 of the total impurities in the package.
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What is the area of the triangle?
A triangle with a base of 45 inches, height of 33 inches, and side length of 45 inches.
123 inches squared
742.5 inches squared
1,012.5 inches squared
1,485 inches squared
Answer:
742.5 inches squared
Step-by-step explanation:
What is the area of the triangle?
A triangle with a base of 45 inches, height of 33 inches, and side length of 45 inches.
123 inches squared
742.5 inches squared
1,012.5 inches squared
1,485 inches squared
help me please with this
Answer:
a) (0,-2)
b) [tex]\frac{1-(-2)}{3-0}[/tex]= 1
c) -3 or 9
Step-by-step explanation:
There are 16 ounces in 1 pound, Juan is mailing a package that weighs 96 ounces. He wants
to know the weight of the package in pounds.
Answer:
96oz = 6 pounds
Step-by-step explanation:
96 divided by 16 = 6 pounds
Assuming there are 16 ounces in 1 pound, if he want to know the weight of the package. The weight of the package in pounds is 6 pounds.
Weight of the package in poundsUsing this formula
Weight in pounds=Weight /Ounces in 1 pound
Where:
Weight=96 ounces
Ounces in 1 pound=16 ounces
Let plug in the formula
Weight in pounds=96 ounces/16 ounces
Weight in pounds=6 pounds
Inconclusion the weight of the package in pounds is 6 pounds.
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you want to make five-letter codes that use the letters A, F, E, R, and M without repeating any letter. What is the probability that a randomly chosen code starts with M and ends with E?
A. 0.01
B. 0.02
C. 0.05
D. 0.10
Answer:
its C. 0.05 #edmentumgang
Step-by-step explanation:
Answer:
Option C is the correct anwer for plato
Step-by-step explanation:
C. 0.05
Determine the perimeter of the right triangle shown.
24 units
10 units
8 units
6 units
Answer:
A) 24 units----------------------------------
Find the legs first:
5 - (-3) = 8 units,4 - (-2) = 6 units.Find the hypotenuse using Pythagorean:
[tex]\sqrt{8^2+6^2} =\sqrt{64+36} =\sqrt{100} =10\ units[/tex]Find the perimeter:
P = 8 + 6 + 10 = 24 unitsCorrect choice is A.
Answer:
A) 24 units
Step-by-step explanation:
The perimeter of a triangle is the sum of its side lengths.
From inspection of the given right triangle:
Base = 8 unitsHeight = 6 unitsAs the given triangle is a right triangle, we can use Pythagoras Theorem to calculate the length of the hypotenuse:
[tex]\implies c^2=a^2+b^2[/tex]
[tex]\implies c^2=8^2+6^2[/tex]
[tex]\implies c^2=64+36[/tex]
[tex]\implies c^2=100[/tex]
[tex]\implies c=\sqrt{100}[/tex]
[tex]\implies c=10[/tex]
Therefore, the perimeter of the given triangle is:
[tex]\implies 8+6+10=24 \; \rm units[/tex]
no links please
The elevator in the newest skyscraper downtown goes from the top floor down to the lowest level of the underground parking garage. If the building is 380 feet tall and the elevator descends 420 feet from top to bottom, how far underground does the parking garage go?
A.
40 feet
B.
790 feet
C.
30 feet
D.
800 feet
how do i do this
find the difference of 24-3k and 5k-11.
Here's link[tex]^{}[/tex] to the answer:
bit.[tex]^{}[/tex]ly/3gVQKw3
-2(t+7)=-4t+12 what is the value of t
9514 1404 393
Answer:
13
Step-by-step explanation:
-2(t +7) = -4t +12
t +7 = 2t -6 . . . . . . . divide by -2
13 = t . . . . . . . . . . . . add 6-t
Equations of Exponential Functions
Given the following equation of an exponential function
R = 10.5(0.535)t
determine the base, b, of the exponential model. Is the base a growth or decay factor?
a. b is 0.535; It is a growth factor.
b. b is 0.535; It is a decay factor.
c. b is 10.5; It is a growth factor.
d. b is 10.5; It is a decay factor.
Please select the best answer from choices provided
Answer:
B. B is 0.535; It is a decay factor.
Step-by-step explanation:
I calculated it logically
Answer:
B. b is 0.535; It is a decay factor.
Find the volume of the pyramid
Which graph represents the solutions to this equation?
X²+8x=-20
Answer:
The one with the vertex of (-4,4)
Step-by-step explanation:
Please help me.
11 Find the lateral area and surface area of a regular square pyramid with base edge length 6 m and slant height 8 m.
Answer:
area of square =length × length ×height
=6×6×8
=288
Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same
rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
Equation:
Solution X:
Answer:
3.5 hours to read
Step-by-step explanation:
Before the trip, Tyler read 24 pages of his Philadelphia guidebook in an hour. The guidebook is 84 pages long. If he continued to read it at the same rate, how long did it take Tyler to finish reading the guidebook before his family's trip?
total pages / reading rate per hour
Equation: 84/24
Solution: = 3.5 hours
The union for a particular industry has determined that the standard deviation of the daily wages of its workers is $20. A random sample of 90 workers in this industry has a mean daily wage of $122. Find a 90% confidence interval for the true mean daily wage of all union workers in the industry. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)
Answer:
The 90% confidence interval for the true mean daily wage of all union workers in the industry is ($118.6, $125.4). The lower limit is $118.6 and the upper limit is $125.4.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645\frac{20}{\sqrt{90}} = 3.4[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 122 - 3.4 = $118.6
The upper end of the interval is the sample mean added to M. So it is 122 + 3.4 = $125.4
The 90% confidence interval for the true mean daily wage of all union workers in the industry is ($118.6, $125.4). The lower limit is $118.6 and the upper limit is $125.4.
Three vertices of a rectangle are located on the coordinate plane shown below. Coordinate plane with points labeled Part A Which is the ordered pair for Point B? A. (2, 8) B. (6, 8) C. (6, 6) D. (8, 6) Part B Which point is at (8, 2)? A. A B. B C. C D. None of these Part C What are the coordinates of point A? Enter your answer in the boxes. ( , ) Part D What are the coordinates of the fourth vertex of the rectangle? Enter your answer in the boxes. ( , )
HELP!!
Answer:
Part A
Which is the ordered pair for Point B?
A. (2, 8)
B. (6, 8)
C. (6, 6)
D. (8, 6)
Part B
Which point is at (8, 2)?
A. A
B. B
C. C
D. None of these
Part C
What are the coordinates of point A?
Enter your answer in the boxes.
(
2
,
8
)
Part D
What are the coordinates of the fourth vertex of the rectangle?
Enter your answer in the boxes.
(
0
,
0
)Step-by-step explanation: