What is the first term of the quotient of the following division problem?
(x³ - 1) = (x + 2)
O -0.5
O 1
O x²
Ox^4
The solution to the algebraic problem is \(x^{2}\)
What is an Algebraic Equation?
An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.
Solution:
(\(x^{3}\) – 1) = (x+2)
On dividing (\(x^{3} - 1\)) by (x+2)
The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.
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What is 9.513 times 5.7 equal?
Answer: 54.2241
Step-by-step explanation:
You multiply 9.513 by 5.3 which gives you an answer of 54.2241. (Hope this helped)
With a tail wind, a small aircraft can fly 1200
miles in 5 hours. Against this same wind, the
plane can fly the same distance in 6 hours.
Find the average wind speed and the average
airspeed of the plane.
Answer:
total distance= 12000+12000=24000
total time = 5+6=11
average speed of plane= 24000/11
Geometry Section 58C/School Year/
For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A
Part B, and Part C
Part A: How many triangles can be formed if the measurements of a triangle are a 27,6-15, A-557
Part B: Explain how to determine the answer to Part A
Part C: Find all possible solutions for this triangle.
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1. Triangle inequality theorem.
3. The missing lengths and angles are:
<B = 27.07, <C = 98 and c = 32.64.
1. According to triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2. To determine the number of triangles that can be formed, we can use the given measurements and check if the triangle inequality theorem is satisfied.
3. We have,
a = 27, b = 15, and A = 55°,
Using the Law of Sines,
sin A/ a = sin B/ b
sin 55 /27 = sin B / 15
0.81915204428 / 27 = sin B /15
0.4550844690444 = sin B
<B = 27.07
Now, <C = 180 - <A - <B = 180 - 55 - 27.07 = 98
Now, Using the Law of Sines
sin A/ a = sin C/ C
0.81915204428 / 27 = sin 98 / c
0.030338964602963 = 0.99026807 /c
c = 32.64
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an xbox was for $ 300 now its $240 What is the percentage discount being given
Answer:
it 60 dollars of not sure percent
please help me, thanks if you do
Answer:
y= -28
Step-by-step explanation:
x -y = 11
if x= -17 then substitute x for -17
-17 -y = 11; add 17 to both sides
-17 + 17 -y = 11+ 17; combine like terms
-y = 28; multiply both sides by -1
y= -28
Ramon and 2 of his friends will run a relay race. The length of the race is 1/3 mile. If each person runs the same distance, how far will
Ramon run?
Answer:
Ramon will run 1/9 of a mile.
Step-by-step explanation:
The relay race is 1/3 of a mile and there are three of them in his relay squad, himself and his two friends.
If three of them finish each sector and each sector is the same, that means that each of the members will run a third of that distance.
\(\frac{1/3}{3}\\=\frac{1}{3} (\frac{1}{3} )\\=\frac{1}{3(3)}\\=\frac{1}{9}\)
Square BCDE with vertices B(-6, 4), C(-2, 3), D(-3, -1) and E(-7, 0) is reflected over the y-axis. What are the new coordinates?
Answers:
B ' (6, 4)
C ' (2, 3)
D ' (3, -1)
E ' (7, 0)
=================================================
Explanation:
The y-axis reflection rule is:
\((\text{x},\text{y})\to (-\text{x},\text{y})\)
The x coordinate flips from positive to negative, or vice versa. The y coordinate stays the same.
So for example, the point B(-6,4) moves to B ' (6, 4).
You can use a graphing tool like GeoGebra to confirm the answers are correct.
. 2 + 2 = 5... No, amigo, estás . (wrong) 2. Ellos están porque el avión no sale hoy. (angry) 3. El gimnasio no está a la medianoche. (open) 4. Las turistas están en su habitación. Es un buen hotel. (comfortable) 5. 2 + 2 = 4… Sí, Carlitos está . (sure) 6. Nosotros estamos . ¡Vamos a jugar al fútbol! (bored) 7. La puerta está . (closed) 8. No me gusta comer en la cafetería porque las mesas están . (dirty) 9. La casa de mi abuela está . (clean) 10. Es el día del examen final. Pablo y Rosa están . (nervous)
Answer:
Step-by-step explanation:
2 and 2 equal 5
Please Help
Greatly Appreciated!!
Answer:
D. 3
Step-by-step explanation:
two parallel lines have the same slope
Fill in the blanks below with the correct units. (a) The mass of the baseball was about 145 ? (b) Jose drank about 300? (c) A two story house is about 12 ? of juice with lunch. tall.
Given
(a) The mass of the baseball was about 145____.
(b) Jose drank about 300___ of juice with lunch.
(c) A two story house is about 12__ tall.
To fill in the blanks with the correct units.
Explanation:
It is given that,
(a) The mass of the baseball was about 145____.
(b) Jose drank about 300___ of juice with lunch.
(c) A two story house is about 12__ tall.
That implies,
(a) The mass of the baseball was about 145 grams.
(b) Jose drank about 300 milliliters of juice with lunch.
(c) A two story house is about 12 meters tall.
Bob is spending money at a constant rate. Suppose he initially has $1000, and after 8 months, he has $200.
Which of these expresses the rate at which Bob's amount of money is changing?
The required rate at which Bob's amount of money is changing is $100 per month.
Given that,
Bob is spending money at a constant rate. Suppose he initially has $1000, and after 8 months, he has $200. The expression of the rate at which Bob's amount of money is changing is to be determined.
Here,
Initial money = $1000
Rest money = $200
Time = 8 months,
Rate = [1000 - 200] / 8
Rate = [800] / 8
Rate = $100
Thus, the required rate at which Bob's amount of money is changing is $100 per month.
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Please help i will mark you brainliest
Answer:
Attorney A : E = 250 + 150×X where X is the number of hours
Attorney B: E = 150 + 175×X where X is the number of hours
26 hours of work for attorney A: E=250+150x26=4150$
26 hours of work for attorney B: E=150+175x26=4700$
Two lines are represented by the equations -1/2y=6x+10 and y=mx for which value of m will the lines be parallel
Answer:
-12
Step-by-step explanation:
So to start we need to know what makes a line parallel. In an equation we know that for lines to be parallel they must have the same slope(m).
Then, we need to know the slope-intercept form of an equation. The slope intercept form is \(y=mx+b\) where \(m\) is the slope of the line and \(b\) is the y-intercept. In this problem where can see the second equation is already in this form.
Now that we know we need to find the slope, and we know that the second equation is in slope-intercept form we're going to convert the fist equation into the correct form.
To do this, we know we need to make sure \(y\) is the only thing on the left side of the equal sign. Currently, on the left side of the equal sign we have \(-\frac{1}{2} y\) so we have to divide both sides by \(-\frac{1}{2}\) to get \(y=-12x -20\)
Now that we have it converted to slope-intercept form, we are going to look for what represents the slope or \(m\) in the equation. In this case the slope would be -12, so any line with a slope of -12 will be parallel.
get it right ok PLS!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The number in standard form is 304.014.
Answer:
The Standard form of the number is 44,410.
What is Multiplication?
To multiply means to add a number to itself a particular number of times.
Multiplication can be viewed as a process of repeated addition.
Here, given number(3 X 100) + (1 X 110) + (4 X 11000)(300) + (110) + (44000)300 + 110 + 44000410 + 4400044410
Thus, the Standard form of the number is 44,410.
Solve the triangle.
A = 46°, a = 31, b = 27
Step-by-step explanation:
a=31
b=27
A = 46 degree
now, Area of ️ABC =ab siny÷2
=31×27 sin46÷2
=301.04371 .
Help please
all the options are 3 and 7 and 7/3 in each question
Answer:
1. 7
2. 3
3. 7
4. 3
5. 7/3
Step-by-step explanation:
Answer:
1. 7
2. 3
3. 7
4. 3
5. 7/3
Step-by-step explanation: Hope this helped
A temperature of 35 degrees Fahrenheit is as cold as a temperature of -35 degrees Fahrenheit.
Answer:yes
Step-by-step explanation:
What is -y+9z-16y-25z+4 written in simplest form
What is the largest 4-digit binary numeral?
Answer:
Sixteen
Step-by-step explanation:
\(\bold{Heya...}\)
\(\sf{6 \: - \: (1 \: x \: 4) \: - \: 2}\)
Explain into your own words.
Thanks~
Answer:
0
Explanation:
Given expression:
\(\sf 6 - (1 \times 4) -2\)
Use BODMAS method:
brackets, order, division, multiplication, addition, subtraction
First simplify variables inside brackets
\(\sf 6 - (4) -2\)
Then simply use subtract integers
\(\sf 0\)
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Let's get it done using Bodmas Rule ~
\(\qquad \sf \dashrightarrow \: 6 - (1 \times 4) - 2\)
\(\qquad \sf \dashrightarrow \: 6 - (4) - 2\)
\(\qquad \sf \dashrightarrow \: 6 - ( 4 + 2)\)
\(\qquad \sf \dashrightarrow \: 6 - 6\)
\(\qquad \sf \dashrightarrow \: 0\)
We will get the end result 0, on simplification ~
Please help me and thank you
Answer:
b. Jason pays $ 3 on the $ 3 he owes in fines.
Step-by-step explanation:
an amount owing is represented as negative. the action of paying dues or making a payment is treated as positive.
therefore, Jason pays +3 to the owed 3. this, +3 -3
...................................................................
Answer:
29 degrees
Step-by-step explanation:
Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees
Here are the shopping times (in minutes) of ten shoppers at a local grocery store.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of shopping times in that class.
(Note that we are using a class width of 5.)
The frequency which is to filled in the table is 1, 4, 2 and 4.
Given that;
All shopping time of ten shopkeeper:
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.
Since, Shopping time is given as ,
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
And, Intervals for which frequency is given is ,
18 to 22, 23 to 27, 28 to 32, 33 to 37.
Hence, WE get;
Numbers in the range 18 to 22 = 18 therefore 1
Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4
Numbers in the range 28 to 32 = 29, 28 therefore 2
Numbers in the range 33 to 37 = 36, 33, 37, therefore 3
Hence, the frequency which is to filled are 1, 4, 2 and 4.
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Robert has some nickels and some dimes. He has a maximum of 29 coins worth no less than $2.20 combined. If Robert has 10 nickels, determine all possible values for the number of dimes that he could have. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Robert's dimes are anywhere between 17 and 19.
Explanation:Nickels
are worth 5 cents, and
dimes
are worth 10 cents. Since Robert has 10 nickels, he already has 50 cents. To reach a minimum of $2.20, or 220 cents, Robert needs at least 170 more cents. Because each dime is worth 10 cents, he needs a minimum of 17 dimes. If he has a maximum of 29 coins in total, subtracting the 10 nickels means that he can have up to 19 dimes. So, Robert could have anywhere between 17 and 19 dimes.
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(20*18)*5
What the answer
Answer:
1,800
Step-by-step explanation:
(20*18)= 360*5= 1,800
Question 10 of 10
How does the graph of f (x) 3x +2 +4 relate to its parent function?
A. The parent function has been compressed.
B. The parent function has been translated up.
C. The parent function has been stretched.
D. The parent function has been translated to the left.
SUBMIT
The graph of f(x) relate to its parent function by B. The parent function has been translated up.
How does the graph of f(x) relate to its parent function?Given that
f(x) = 3x +2 +4
When evaluated, we have
f(x) = 3x + 6
The parent function of the above is
f(x) = 3x
When f(x) = 3x is compared to f(x) = 3x + 6, we have
Difference = 6
This means that the parant function is translated up by 6 units
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3.
Find the area of the circle. Round your answer to the nearest tenth.
Answer:
271.7
Step-by-step explanation:
To find the are of a circle you must use
the formula πr2
r=9.3
π= 3.14≈
So, π x 9.3^2= 271.7
2) Ayanda wants to invest R200 000. The bank offers him 2 options for his
6 year investment.
Option 1: 12% Simple interest p.a.
Option 2: 9,5% Compound interest p.a.
4.2.1) Calculate the return on Ayanda's investment using Option 1.
●
●
4.2.2) Calculate the return on Ayanda's investment using Option 2.
4.2.3) Which option will render the most money?
Answer:
4.2.1) R140 000
4.2.2) R144 758.28
4.2.3) Option 2
Step-by-step explanation:
To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.
\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)
Given values:
P = R200 000r = 12% = 0.12t = 6 yearsSubstitute the given values into the formula and solve for I:
\(I=200000 \cdot 0.12 \cdot 6\)
\(I=24000 \cdot 6\)
\(I=144000\)
Therefore, the return on Ayanda's investment using Option 1 is R144000.
\(\hrulefill\)
To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.
\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)
Given values:
P = R200 000r = 9.5% = 0.095t = 6 yearsSubstitute the given values into the formula and solve for I:
\(I=200000(1+0.095)^6-200000\)
\(I=200000(1.095)^6-200000\)
\(I=200000(1.72379142...)-200000\)
\(I=344758.28426...-200000\)
\(I=144758.28426...\)
\(I=144758.28\)
Therefore, the return on Ayanda's investment using Option 2 is R144758.28.
\(\hrulefill\)
Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.
Yesterday, Jennifer walked several laps around a track. She made Graph 1 to describe the relationship between time and distance. Today, Jennifer alternated walking one lap and running one lap. She made Graph 2 to describe the relationship between time and distance.
Select True or False for each statement.
Graph 1. First quadrant of a coordinate plane with the X axis labeled Time and the Y axis labeled Distance. A line begins at 0, 0 and goes up and to the right. Graph 2. First quadrant of a coordinate plane with the X axis labeled Time and the Y axis labeled Distance. A graph made up of several line segments that vary in steepness begins at 0, 0 and goes up and to the right.
A
Graph 1 shows a proportional
relationship because the graph
is a line.
True False B
Graph 2 shows a proportional
relationship because the graph
passes through the origin.
True False C
Graph 2 does not show a
proportional relationship
because the graph is not a line.
True False D
Graph 1 shows a proportional
relationship because the graph
is a line that passes through the origin.
True False E
Graph 2 shows a proportional
relationship because the graph
is made up of lines.
True False F
Graph 2 shows a proportional
relationship because the graph
is increasing.
True False
The answers to the statements that have been made here are:
False falsetruetruefalsefalseHow to check for the answers.The first statement is false because the proportional relationship is not due to the fact that it is a line.The second is also false given that the graph is not proportional as it goes through the origin of the graph.True The graph in 2 does not show the proportional relationship given that it does not go by the origin.This is true. It passes through the origin.The lines contained in the graph would have to be similar first before it can show this relationship hence false.The graph is not increasing and cannot show the relationship hence false.Read more on graphs here:
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