we obtain that the graph y = sin(x - 2pi/3) is the graph of y=sin(x) shifted to the left
answer:
\(\frac{3\pi}{2}\text{ }units\text{ to the left}\)it is in the clipped picture
\(plsss \: answer \: my \: question\)
1. What is the sum of (-6) & (-9)?
-6 + (-9) = -6 - 9 = -15
D. -15 is your answer.
2. What is the result when (-12) is subtracted from (-8)?
-8 - (-12)
Note that when there are two negative signs directly next to each other, it becomes a positive:
-8 - (-12) =
-8 + 12 =
12 - 8 = 4
B. 4 is your answer.
3. What is the sum of two positive numbers?
Two positive numbers will give you a positive answer.
A. Positive.
4. What is the difference when -19 is subtracted by 5?
-19 - (5) = -19 + (-5) = -24
D. -24
5. To add two numbers having the same sign, find the sum of their absolute values and copy the common sign.
6. What is the result when the difference of (-9) and 4 is subtracted from the sum of (-5) and (-3)?
(-5 + (-3))- (-9 - 4)
(-8) - (-13)
-8 + 13 = 5
B. 5
7. What is the quotient of 180 and (-30)?
Divide 180 with -30:
180/-30 = -6
C. -6
8. What is the product of (-9) and 7?
Multiply -9 with 7:
-9 * 7 = -63
-63 is your answer.
9. For what value of the variable n will the statement (-612)/36 = n be true?
Divide:
(-612)/36 = -17
C. -17 is your answer.
~
Note:
If you are adding two positive numbers, your answer will be positive.
If you are adding two negative numbers, your answer will be negative.
If you are adding one positive number and one negative number, your answer will have the sign of whichever term is greater.
If you are subtracting two positive numbers, and your first term is greater then the second term, your answer will be positive.
If you are subtracting two positive numbers, and your first term is less then the second term, your answer will be negative.
If you are subtracting one negative term in front, and one positive term in the back, whichever term has the greater numerical number would have their sign carried over.
If you are subtracting one positive term in front, and one negative term in the back, the negative term's negative will cancel, which would result in a positive. Then you will add.
If you are multiplying two positive numbers, your answer will be positive.
If you are multiplying two negative numbers, your answer will be positive.
If you are multiplying one negative and one positive number, your answer will be negative.
If you are dividing two positive numbers, your answer will be positive.
If you are dividing two negative numbers, your answer will be positive.
If you are dividing one negative and one positive number, your answer will be negative.
A cyclist bikes at a constant speed for 24 miles. He then returns home at the same speed but takes a different route. His return trip takes two hours longer and is 30 miles. Find his speed.
Answer: they are ripped
Step-by-step explanation:
i guessed
Answer:
3 mi / hr
Step-by-step explanation:
It takes the cyclist 2 hours to go 6 miles further ( 30 -24 mi)
6 mi / 2 hr = 3 m/hr
Jill Janzen's gross weekly pay is $298. Her earnings to date for the year total $14,900. What amount is deducted from her pay each week for Social Security, which is taxed at 6.2%?
Jill's annual earnings can be calculated by multiplying her weekly pay by the number of weeks in a year: $298/week x 52 weeks/year = $15,496/year. Her earnings to date are $14,900, so she has earned an additional $596 in the current week.
Social Security is taxed at 6.2%, so the amount deducted from her pay each week is 6.2% of her gross weekly pay. That's 0.062 x $298 = $18.48.
An office manager orders one calculator or one calendar for each of the office's 60 employees. Each calculator costs $15, and each calendar costs $10. The entire order totaled $800.
Part A: Write the system of equations that models this scenario. (5 points)
Part B: Use substitution method or elimination method to determine the number of calculators and calendars ordered. Show all necessary steps. (5 points)
The system of equations is.
\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)
And the solutions are y = 50 and x = 10.
How to write and solve the system of equations?Let's define the two variables:
x = number of calculators.y = number of calendars.With the given information we can write two equations, then the system will be:
\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)
Now let's solve it.
We can isolate x on the first to get:
\(\text{x} = 60 - \text{y}\)
Replace that in the other equation to get:
\(15\times(60 - \text{y}) + 10\text{y} = 800\)
\(-2\bold{y} = 900 - 800\)
\(-2\bold{y} = 100\)
\(\text{y} = \dfrac{100}{-2} = \bold{50}\)
Then \(\bold{x=10}\).
Therefore, the solutions are y = 50 and x = 10.
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Base of trash can is 32square inches and volume of 288 cubic inches will Hassan trash can fit under his sink which is a clearance height of 8 inches .
As sink has a clearance height of only 8 inches while the height of trash can is 9 inches, Hassan trash can couldn't fit under his sink.
How to determine the height?To determine if Hassan's trash can will fit under his sink, we need to calculate the height of the trash can based on its given base area and volume.
The trash can must be cylindrical thus volume = πr²h
Here, πr² is the base and h is height
πr² given 32² in
And volume = 288³ in
So,
height = volume / base area
height = 288 / 32
height = 9
So the height of the trash can is 9 inches.
However, As sink has a clearance height of only 8 inches while the height of trash can is 9 inches, Hassan trash can couldn't fit under his sink.
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|3x-1|=4 help pleaseeeeeeeeee
Answer: x = -1 or x = 5/3
Step-by-step explanation:
|3x - 1| = 4
=> 3x - 1 = 4 or 3x - 1 = -4
=>x = 5/3 or x = -1
Thomas, a waiter at a local restaurant, is paid $ 4 an hour plus tips. His friend Marie works at a local bookstore for $12 an hour. Marie and Thomas worked the same number of hours. If Thomas made $120 in tips and both made the same amount of money, how many hours
1.please just give me the first step on how it’s written out
Answer:
15 hours
Step-by-step explanation:
Let h = numbers of hour worked, x = tips, t = Thomas' pay, and m = Marie's pay
We can set up an equation for this question:
t = 4h + x
Now plug in 120 for x
t = 4h + 120
Now we set up Marie's pay:
m = 12h
Since Thomas and Marie made the same amount of money over the same number of hours, we can say:
4h + 120 = 12h
120 = 8h
h = 15
This means they both worked for 15 hours.
What is the area of the figure?
Answer: 23.76 sq yds
Step-by-step explanation:
0.5*9.9*4.7=23.76
Area of triangle: 0.5*b*h
The number of employees working for Sprockets R Us in 2005 was 8110, with an expected decrease of 0.5% per year. At the rate of decrease given, what is the expected number of employees working at Sprockets R Us in 2006? Round your answer to the nearest integer.
The expected number of employees working at Sprockets R Us in 2006 will be 8069.45.
What are percentages?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
The number of employees working for Sprockets R Us in 2005 was 8110, with an expected decrease of 0.5% per year. At the rate of decrease given, what is the expected number of employees working at Sprockets R Us in 2006?
The number of the employees in 2006 will be calculated as:-
Number of employees decreased = 0.5% x 8110
Number of employees decreased = (0.5/100) x 8110
Number of employees decreased = 40.55
The number of the employees in 2006 will be
N = 8110 - 40.55 = 8069.45
Therefore the expected number of employees working at Sprockets R Us in 2006 will be 8069.45.
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The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
The graph shows the level of ibuprofen, y units, in a patient’s bloodstream x hours after the ibuprofen was taken. Select the correct answer to complete the blanks in the sentence: "The level of ibuprofen in the patient's bloodstream increased from _____ hours to _____ hours."
The graph is missing, so i have attached it.
Answer:
From 0 hours to 2 hours.
Step-by-step explanation:
From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.
Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.
After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.
Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.
Ok what is the time and how do I actually get this free trial lol
the time is only 9:30 and fine in it lol
A circle with radius of 1 cm sits inside a 3 cm x 4cm rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
3 cm
1 cm
4 cm
cm?
First of all find the total area and then subtract the area of circle from the area of rectangle, It will be easier that way...
\(\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}\)
Finding area of rectangle:\( \qquad \bf \implies \: area = length \times breadth\)
Length = 3 cmBreadth = 4 cm\( \qquad \tt \blue\looparrowright \purple{area = 3 \times 4} \)
\( \qquad \tt \blue\looparrowright \purple{area = 12 \: {cm}^{2} } \)
Finding area of circle:\( \qquad \bf \implies \: area = \pi {r}^{2} \)
π = 22/7r = 1\( \qquad \tt \red\looparrowright \green{area = \frac{22}{7} \times {1}^{2} } \)
\( \qquad \tt \red\looparrowright \green{area = \frac{22}{7} \times 1} \)
\( \qquad \tt \red\looparrowright \green{area = 3.14 \: {cm}^{2} } \)
Find the area of shaded region now,\( \qquad \bf \implies \: area =area \: of \: rectangle - area \: of \: circle\)
Area of rectangle = 12 cm²Area of circle = 3.14 cm²\( \qquad \tt \pink\looparrowright \orange{area = 12 - 3.14 } \)
\( \qquad \tt \pink\looparrowright \orange{area = 8.86} \)
➪ Thus, The area of the shaded region is 8.86 cm²...~
Rob takes out a loan for $25,000. The interest rate is 7.5%. If rob pays $39,375 in interest, how long will it take to pay off the loan?
Answer:
21 weeks/months/years
the unit is not clarified in the question.
Step-by-step explanation:
First, we have to calculate the amount of interest added after each interest period. In this case, we know the interest rate is 7.5% so after each period, there will be extra 1875 dollars of interest.
25000 x 0.075 = 1875
Now, we find out how many periods of interest adds up to a sum of 39375. We just divide the amount of interest it's asking by the amount of interest after 1 period.
39,375/1875 = 21
boom, It will take 21 periods.
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
3x-4y=0
-3x+9y=30
Add to eliminate x.
Subtract to eliminate x.
Subtract to eliminate y.
Add to eliminate y.
The system of equation has a solution of x = 8 and y = 6.
In order to remove a variable from a system of equation, we must change the equations so that the variable is removed. In relation to this specific set of equations:
3x - 4y = 0 \s-3x + 9y = 30
By combining the two equations, we can take the variable x out of the equation. This is due to the fact that the x terms cancel out when the two equations are added:
3x - 4y + (-3x + 9y) = 0 + 30
When we simplify this equation, we obtain:
5y = 30
When we multiply both sides by 5, we get:
y = 6
After figuring out y, we can now put this answer back into one of the initial equations to figure out x:
3x - 4y = 0
3x - 4(6) = 0
3x - 24 = 0
3x = 24
x = 8
As a result, the system of equations has a solution of x = 8 and y = 6. By substituting the values of x and y into the two original equations and confirming that they are both true.
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A space for storing boxes is 36 inches high. Each box is 6 inches high. A space of 9 inches must be left at the top. what is the maximum number of boxes that can be stacked in this space?
Answer:
Step-by-step explanation: 36-9 equals 27. You can only fit 4 evenly so thats the answer
The maximum number of boxes that can be stacked in the space of 36 inches keeping 9 inches on the top empty is 4.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that the height of the space in which boxes are needed to be stored is 36 inches high. Also, the height of the box is 6 inches.
But a space of 9 inches must be left at the top. Therefore, the space left to keep the boxes is,
Space left to keep the boxes = 36 inches - 9 inches
= 27 inches
Now, the number of boxes that can be put in the leftover space is,
Number of boxes = 27 inches / 6 inches
= 4.5
Since a half box can be placed in the space, therefore, the number of boxes that can be in the space is 4.
Hence, the maximum number of boxes that can be stacked in the space of 36 inches keeping 9 inches on the top empty is 4.
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Solve The following equations(i) -5x + 3y = 51 y = 10x - 8(ii) 6x + y = -10 5x + y = -10(iii) 2x - y = 32 y - 5x = 13(iv) 3x -y = 7 x - 2y = 4
Given:
Some equations are given as below
(i) -5x + 3y = 51
y = 10x - 8
(ii) 6x + y = -10
5x + y = -10
(iii) 2x - y = 32
y - 5x = 13
(iv) 3x -y = 7
x - 2y = 4
Find:
we have to solve these equations.
Explanation:
(i) -5x + 3y = 51 ....................(1)
y = 10x - 8........................(2)
put y = 10x - 8 in eqn (1), we get
-5x + 3(10x - 8) = 51
-5x + 30x - 24 = 51
25x = 51 + 24
25x = 75
x = 75/25
x = 3
put x = 3 in eqn (2), we get
y = 10(3) - 8 = 30 - 8 = 22
Therefore, x = 3 and y = 22
answer is (3, 22)
...................................................................................................
(ii) 6x + y = -10........................(3)
5x + y = -10..........................(4)
subtract eqn(4) from eqn(3), we get
6x - 5x = 0
x = 0
put x = 0 in eqn(3). we get
6(0) + y = -10
y = -10
Therefore, x = 0, y = -10
Answer is (0, -10)
.................................................................................................
(iii) 2x - y = 32........................(5)
y - 5x = 13..........................(6)
add eqn(5) and eqn(6), we get
2x -y + y - 5x = 32 + 13
-3x = 45
x = -45/3
x = -15
put x = -15 in eqn(5), we get
2(-15) - y = 32
-30 - y = 32
-y = 32 + 30
y = -62
Therefore, x = -15. y = -62
Answer is (-15, -62)
.........................................................................................................
(iv) 3x -y = 7..............................(7)
x - 2y = 4.............................(8)
Multiply eqn(8) by 3 and subtract from eqn (7) as following
3x - y = 7
3x - 6y = 12
- + -
.....................
5y = -5
y = -1
put y = -1 in eqn(7), we get
3x - (-1) = 7
3x + 1 = 7
3x = 7 - 1
3x = 6
x = 6/3
x = 2
Therefore, x = 2 and y = -1
Answer is (-1, 2)
....................................................................................................
Solve the equation below for x by graphing
3x =8_2x
The solution to the equation 3x = 8 - 2x is x = 1.6.
To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:
Express the equation in the form of y = f(x). Rearrange the equation:
3x + 2x = 8
5x = 8
x = 8/5 or 1.6
Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.
Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.
The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).
Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.
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Quick! Which expression is equivalent? I think either D or C but I’m a bit confused, please help!
The expression that is equivalent to 6⁻¹⁰/(6⁴)(6⁰) is (d) 1/6¹⁴
How to determine the expression that is equivalent?From the question, we have the following parameters that can be used in our computation:
6⁻¹⁰/(6⁴)(6⁰)
Express 6⁰ as 1
So, we have the following representation
6⁻¹⁰/(6⁴)(6⁰) = 6⁻¹⁰/(6⁴) * 1
Evaluate the products
6⁻¹⁰/(6⁴)(6⁰) = 6⁻¹⁰/(6⁴)
Apply the law of indices
So, we have
6⁻¹⁰/(6⁴)(6⁰) = 1/6¹⁰⁺⁴
Evaluate the differences
6⁻¹⁰/(6⁴)(6⁰) = 1/6¹⁴
Hence, the expression is (d) 1/6¹⁴
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what is 4y when x -3
Answer:
4y-x-3 = 0
Step-by-step explanation:
Slope = 0.500/2.000 = 0.250
x-intercept = 3/-1 = -3.00000
y-intercept = 3/4 = 0.75000
Find the measure of the indicated angle to the nearest degree
Answer:
C
Step-by-step explanation:
All triangles come up to a 180 degrees so you can add and then subtract
An examination paper has 150 multiple-choice questions of one mark each, with each question having four choices. Each incorrect answer fetches -0.25 mark. Suppose 1000 students choose all their answers randomly with uniform probability. The sum total of the expected marks obtained by all these students is?
The sum of expected marks is given as follows:
9375.
How to obtain the expected marks?Each question has four choices, hence the probability of choosing the correct choice is given as follows:
p = 1/4 = 0.25.
Then the expected number of correct answers is given as follows:
E(X) = 0.25 x 150
E(X) = 37.5.
Then the expected grade for a single student is given as follows:
37.5 - 0.25(150 - 37.5) = 9.375.
The expected sum for the 1000 students is then given as follows:
1000 x 9.375 = 9375.
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distancia entre (-10, -9) y (-17, -12)
Answer:
√58 or 7.615773
Step-by-step explanation:
\(\sqrt{(-12-(-9)^2 +(-17-(-10)^2} = \sqrt{(-12+9)^2+(-17+10)^2} = \sqrt{(-3)^2+(-7)^2} = \sqrt{9+49} = \sqrt{58}\)
Bob packs 13 pounds of nuts in bags. Each bag has 1/4 pound of nuts. Which equation shows the number of bags Bob packed with all the nuts?
13 × 1/4 = 52
13 ÷ 1/4 = 52
13 ÷ 1/4 = 14/4
13 × 1/4 = 13/4
The equation for the bag with all nuts is 13 / ( 1/4 ) = 52 bags
Given data ,
Bob packs 13 pounds of nuts in bags.
Each bag has 1/4 pound of nuts
Now , the number of bags = pounds of nuts / pounds of nuts in each bag
A = 13 / 1/4
On simplifying the equation , we get
A = 52 bags
Hence , the number of bags is 52 bags
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arrange in ascending order 7.38, 24.1, 9.96, 1.893, 100.001, 1.9
Answer:
1.893
1.9
7.38
9.96
24.1
100.001
Step-by-step explanation:
pls mark brainliest
1. The distance around Heather's bedroom is 44 feet.
The width of the room is 10 feet, what is the length of the room?
In the diagram below, if AD= 100 and AC = 34, find CD.
A 59
B 76
C 45
D 66
What fraction is not greater than 1/2? 7/8 4/6 3/5 2/5
Answer:this is so ez
Step-by-step explanation: 2/5
An investor has $100,000 to invest in three types of bonds: short-term, intermediate-term, and long-term.How much should she invest in each type to satisfy the given conditions? Short-term bonds pay 4% annually, intermediate-term bonds pay 5%, and long-term bonds pay 6%. The investor wishes to realize a total annual income of 5.1%, with equal amounts invested in short- and intermediate-term bonds.
Step-by-step explanation:
4/100*100000+5/100*100000+5.1/100*100000=14100
The ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot, how
may are trucks?
Answer:
135
Step-by-step explanation:
3+5=8. 360÷8=45. 45×3=135
If the ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot, then there are 225 trucks
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The ratio of cars to trucks in the parking lot is 3:5.
there are 360 vehicles in the parking lot
(360-x)/x=3/5
Cross Multiplication
5(360-x)=3x
1800-5x=3x
1800=8x
x=225
So there are 225 trucks.
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