Answer:
⅙
Step-by-step explanation:
I just know the answer cuz I am better
which expression is equivalent to (4 - 3i) + (-2 + 10i)?
A. 9i
B. -9i
C. 2+7i
D. 2-13i
Answer:
C. 2+7i
Step-by-step explanation:
(4 - 3i) + (-2 + 10i)
Combine like terms
4-2 -3i +10i
2 +7i
Answer: The answer is C, 2 + 7i
Step-by-step explanation:
Sample response: The product of two numbers with
different signs is negative, so 2(-12) = -24, not 24. Then
-24-(-30) = -24 + 30 = 6.
Select all the information you considered when writing
your response.
The product or quotient of two integers with
different signs is negative.
To subtract an integer, add its opposite.
To add integers with opposite signs, subtract the
absolute values. The sum has the same sign as the
integer with the greater absolute value.
By considering these rules and properties of integers, the correct result of 6 was obtained.
When writing the response, I considered the following information:
The product or quotient of two integers with different signs is negative. This rule was used to determine that 2(-12) equals -24, not 24.
To subtract an integer, add its opposite. This rule was applied when subtracting -30 from -24, resulting in -24 - (-30) = -24 + 30.
To add integers with opposite signs, subtract the absolute values. The sum has the same sign as the integer with the greater absolute value.
This rule was used to calculate -24 + 30 = 6, where the absolute value of 30 is greater than the absolute value of -24.
By considering these rules and properties of integers, the correct result of 6 was obtained.
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Kenzie has. 4 pages of homework to do. If she can finish 1/3 of a page in one hour how many hours will her homework take?
Answer:
It will take her 4 1/3 hours
Step-by-step explanation: so you know you needed to add 4 and 1/3 and you turn the 4 into 4/1 and 1/3 and since it adding you have to have the same denominator and you multiply 1x3 and if you do it on the bottom you have to do it on top so you also do 4x3 and 4x3 is 12 and one 1x3 is 3 and so you don't have to have to do it on the other fraction because now they have the same denominator now and now you add 12/3 + 1/3 and you shall get 13/3 and then you divide 13 divided by 3 and you shall get 4 1/3 and that shall be your answer.
hope it helps you!
A company studied how much they pay employees. They found the mean and median annual salaries. These values are given in the table.
Annual Salary Data
Mean Annual Salary $62,000
Median Annual Salary $35,000
Which measure of center is best to describe salaries at the company? Select the statement that BEST explains your choice.
a. the mean, because people who earn too little make the median too small
b. the mean, because most workers earn a salary that is near this value
c. the median, because it is the measure of center with the lower value
d. The median, because people who earn a lot make the mean too large
The best measure of center to describe salaries at the company is the median. The Option D is correct.
Why is median best measure to describe salaries?The reason is that the median is less affected by extreme values or outliers which can greatly affect the mean. In this case, the mean annual salary is $62,000 while the median is only $35,000.
This large difference suggests that there are some very high earners at the company that are pulling up the mean. The median indicates that half of the employees earn less than $35,000 and half earn more which gives a more accurate picture of the typical salary at the company.
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HELP!!!!!!!!!!!!!!!!!!
Answer:
D 0.89275
Step-by-step explanation:
The lines shown below are perpendicular. If the green line has a slope of 2,
what is the slope of the red line?
-10
10
16
A. ¾/1
O A.
B.
O C.
O D. - 3/4
None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.
The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.
Reciprocal of 2: 1/2
Negative reciprocal: -1/2
Therefore, the slope of the red line is -1/2.
However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.
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Jonathan and Amber went to the store together to buy school supplies.
Jonathan purchased 2 notebooks and 5 elastic book covers for $6.75. Amber
purchased 4 notebooks and 2 elastic book covers for $7.50. What is the price
of a single notebook?
P
The price of a single notebook is $
Answer:
The answer is 1.5$
Step-by-step explanation:
Let the price of 1 notebook be x$ and 1 elastic book cover be y$
In first case,
2x+5y=$6.75
2x = $6.75-5y
x=($6.75-5y)/2------------- eqn i
In second case,
4x+2y=$7.50
4×($6.75-5y)/2 +2y=$7.50 [From eqn i]
($27-20y)/2 +2y=$7.50
($27-20y+4y)/2=$7.50
($27-16y)/2=$7.50
$27-16y=$7.50×2
$27-16y=$15
$27-$15=16y
$12=16y
y=$12/16
y=$0.75
The price of single elastic book cover is $0.75
Substituting the value of y in eqn i we get
x=($6.75-5y)/2
x=($6.75-5×$0.75)/2
x=($6.75-$3.75)/2
x=$3/2
x=$1.5
Hence, the price of single notebook is $1.5 Ans
Hey mate, please mark me as brainliest if you got the answer.
Determine which conic section is represented based on the given equation: 4x^2+9xy+4y^2-36y-125=0
The conic section of the equation 4x² + 9x +4y² - 36y - 125 = 0 is a circle
Selecting the conic section of the equationThe given equation is
4x² + 9xy + 4y² - 36y - 125 =0
The above equation is an illustration of a circle equation
The standard form of a circle equation is
(x - a)² + (y - b)² = r²
Where
(a, b) is the center
r is the radius
While the general form of the equation is
ax² + fx + by² + gy + c =0
Where c is a constant
Recall that, we have
4x² + 9x + 4y² - 36y - 125 =0
This is the general form
We can convert to the standard form as follows
Divide through by 4
x² + 2.25x + y² - 9y - 31.25 =0
Next, we complete the square of the x-terms and the y-terms
For the x-terms, we have
x² + 2.25x = x² + 2.25x + (2.25/2)² - (2.25/2)²
x² + 2.25x = (x + 2.25/2)² - (2.25/2)²
For the y-terms, we have
y² - 9y = y² - 9y + (9/2)² - (9/2)²
y² - 9y = (y - 9/2)² - (9/2)²
Substitute the new x and y terms
So, x² + 2.25x + y² - 9y - 31.25 = 0 becomes
(x + 2.25/2)² - (2.25/2)² + (y - 9/2)² - (9/2)²- 31.25 =0
Evaluate the sum of like terms
(x + 2.25/2)² + (y - 9/2)² - 3377/64 = 0
So, we have
(x + 9/8)² + (y - 9/2)² = 3377/64
Using the above as a guide, we can conclude that the conic section of the equation is a circle
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What two numbers add up to -2 and multiple to 10
There are no two Real numbers that add up to -2 and multiply to 10.
The numbers that add up to -2 and multiply to 10, we can use algebraic methods. Let's denote the two numbers as x and y. Based on the given conditions, we can set up two equations:
Equation 1: x + y = -2
Equation 2: x * y = 10
To solve this system of equations, we can use substitution or elimination methods. Let's solve it using the substitution method:
1. Solve Equation 1 for x:
x = -2 - y
2. Substitute the value of x in Equation 2:
(-2 - y) * y = 10
3. Simplify the equation:
-2y - y^2 = 10
4. Rearrange the equation to standard form:
y^2 + 2y + 10 = 0
5. Since the equation is a quadratic equation, we can apply the quadratic formula:
y = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 1, b = 2, and c = 10.
6. Calculate the discriminant: b^2 - 4ac:
2^2 - 4(1)(10) = 4 - 40 = -36
7. Since the discriminant is negative, the quadratic equation does not have real solutions. Therefore, there are no real numbers that satisfy both conditions of adding up to -2 and multiplying to 10.
In conclusion, there are no two real numbers that add up to -2 and multiply to 10.
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two trains travel along a 160 km track each day. The express travels 10 kmh^-1 faster and takes 30 min less time than the normal train. Find the speed of the express.
The speed of the express is given by S = 61.789 km/h
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let the speed of the express be represented as S
Now , the speed of the train A = 160 km/h
The speed of the express S = A + 10
And , the time taken by the train = T₁
The time taken by the express = T₁ - ( 1/2 )T₁
The time taken by the express = ( 1/2 )T₁
The time of the normal train is T₁ = 160 / A
And , for the express train , the time taken is
160 = S ( 160/A ) + 10 ( 160/A ) - 0.5A² - 5A
On simplifying , we get
5A² + 50A - 160000 = 0
Divide by 5 on both sides , we get
A² + 10A - 3200 = 0
On factorizing the equation , we get
A = [ -10 ± √ ( 100 + 12800 ) ] / 2
A = [ -10 ± √12900 ] / 2
So , the value of A = 51.789 km/h
Now , the speed of the express S = A + 10
The speed of the express S = 61.789 km/h
Hence , the speed is 61.789 km/h
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What is the area of figure below?
===========================================
Work Shown:
A = area of trapezoid
A = height*(base1+base2)/2
A = 9*(16+10)/2
A = 9*26/2
A = 9*13
A = 117
---------
B = area of triangle
B = base*height/2
B = 6*8/2
B = 48/2
B = 24
----------
C = area of entire figure
C = A+B
C = 117+24
C = 141 square inches
We can write "sq in" or "in^2" as shorthand for "square inches".
I need to know how to round to the nearest tenth
In order to round to the nearest tenth you need to look to the right and see the number next to the tenths, it will be the place of the hundredths
if in the hundredths place we have a 5 or more, the tenths digit will increase by one
if in the hundredths place we have a digit less than 4 the tenths remained with the same digit
For example
\(1.78\)Rounded to the nearest tenth is 1.8
Another example
\(3.44\)Round to the nearest tenth is 3.4
Compute the area of a circle with a diameter of 18 inches.
Answer:
254.34
Step-by-step explanation:
Diameter: 2×radius
Radius:Diameter÷2
Area: pi×radius²
18/2=9
Radius=9
pi=3.14
3.14×9²=254.34
The area is 254.34
please answer this problem step by step
The intervals of each behavior of the function are given as follows:
Decreasing: (-∞, -3).Constant: (-3, 3).Increasing: (3, ∞).How to classify the function as increasing, decreasing or constant?The function is increasing when the graph moves right and up.The function is decreasing when the graph moves right and down.The function is constant when the graph of the function is an horizontal line.More can be learned about functions at https://brainly.com/question/24808124
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what is the slope intercept of 3x-2y=-16.
- - - - - - - - - - - - - - - - - - - - - - - - - - -
\(\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}\)
What is the slope-intercept form of 3x-2y=-16?
\(\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\)
✥ First, we need to subtract 3x on both sides, which results in
-2y=-16-3x
Or
-2y=-3x-16
\(\bigstar\) Now, divide by -2 on both sides:-
\(\bold{(-2y):-2=(-3x-16):-2}\)
On simplification,
\(\bold{y=\dfrac{3}{2} x+8}\)
Good luck with your studies.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Aiden has 5 pairs of nike shoes, 3 pairs of adidas shoes and 2 pairs of reebook shoes. what is the ratio of nike shoes to adidas?
5+3+2=10
Answer: 10:3
Gate posts are parallel and m<4 =47, what is m<1
The value of angle 1 given the value of angle 4 as 47° will be 133°
How to explain parallel linesParallel lines are two lines on a two-dimensional plane that, no matter how far they are extended, never collide. They always keep the same gap between them.
Parallel lines have the same slope, which means they have the same angle of inclination or steepness. In other words, they rise and fall at the same pace along their length.
The value will be:
= 180° - 47°
= 133°
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12x+5??????????????pls help
Answer:
17
Step-by-step explanation:
A store manager is marking down washing machines from $820 to $287. What is the discount percentage?
Write your answer using a percent sign (%).
Answer:
65%
Step-by-step explanation:
formula is (og(original) price - sell price ÷ og price)*100
820-287=533
533÷820=0.65
0.65x100=65
65%
Jane took 10 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day at the same boat speed took her 5 min. If the current in that part of the river is 10 km per hr, what was her boat speed in still water?
Answer: B = 15 kph or 15 kph
step by step
(b-5)*10=(b+5)*5
10b-50=5b+25
5b=75
b=15 kph in still water
Express the radical using the imaginary unit, -24
Answer:
\(2i\sqrt{6}\)
Step-by-step explanation:
\(\sqrt{-24}=\sqrt{-4}\sqrt{6}=2i\sqrt{6}\)
After eating pizza for lunch there were 3 boxes left on the table each box had 1/2 left draw a picture to show how much pizza is left
Answer:
there are 3/2 of pizza. on
compound probability can be greater than 1. Trueor False?
Answer:
False
Step-by-step explanation:
Compound probability is the likeliness of two or more events occurring together.
Probability can never be greater than 1 whatever form it takes. Its values range between zero and one. When a probability is multiplied with any particular number such as n ( number of trials) we get expected value or whatever the formula says but probability itself is never greater than 1.
If we get the answer of any question where the found probability is greater than 1 the answer is wrong because probability is not greater than 1.
The sum of all probabilities may be nearly equal to 1 like 0.99999 etc.
How many shipments had at least 10 broken tiles but less than 20 broken tiles ?
Answer:
5 shipments had at least 10 broken tiles but less than 20 broken tiles.
how many times larger is the value of 2 in 52.346 than it is in 246
2 in 52,346 is in tho
Nolan buys a $12,000, 13-week treasury bill at 5%. What’s his effective rate? Round your answer to the nearest hundredth of a percent.
As a result, the actual interest rate is 5.06% since Nolan purchases a $12,000 13-week treasury bill at 5%.
what is interest ?Divide the original by the lending rates, the duration of time, and other factors to arrive at simple interest. Simple gain = principal + interested + hours is the marketing formula. This system makes it simpler to calculate interest. The most popular technique to figure out this is as a portion of the principal sum. He can only pay his share of the 100% interest, for example, if he borrow $100 from a friend he agrees to repay him with 5% interest. $100 (0.05) = $5. When you borrow more money, you should pay interest, and when you give it out, you must make payments. Interest is often determined as an indicator of the overall of the loan total. The interest on the loan is this percentage.
given
Simple interest = $12,000 × 0.05 × 13/52 = $150
Simple discount note = ($12,000 - $150) × 13/52 = $2962.5
Effective rate of interest = $150 / $2962.5
Effective rate of interest = 0.0506 or 5.06%
As a result, the actual interest rate is 5.06% since Nolan purchases a $12,000 13-week treasury bill at 5%.
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Solve using the Quadratic Formula:
3x2−12x−9=0
Answer:
x²+x-1=0
3x²-12x-9=0
Undefined
If f(y)=5y-3 determine the value of y when f(y)=-8
The value of y when f(y) = -8 is -1.
Given,
f(y) = 5y - 3
We have to find the value of y if f(y) is given as -8
f(y) = 5y - 3
Substitute f(y) = -8 in the expression.
-8 = 5y - 3
Add 3 to both sides
-8 + 3 = 5y - 3 + 3
We get,
3 - 8 = 5y
That is,
-5 = 5y
Divide both sides by 5
-5/5 = 5y/5
Then,
-1 = y
That is, the value of y when f(y) = -8 is -1.
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50 POINTS Vanessa has 6 dimes and 2 pennies. Joachim has 1 dollar, 3 dimes, and 5 pennies. Jimmy has 5 dollars and 7 pennies. They want to put their money together to buy a game that costs $8.00. Do they have enough money to buy the game? If not, how much more money do they need? SHOW WORK
Vanessa: a dime = 10 cents = 0.10
A penny = 1 cent = 0.01
6 x 0.10 = 0.60
2 x 0.01 = 0.02
Total = 0.60 + 0.02 = 0.62
Joachim : a dollar = 1.00
3 x 0.10 = 0.30
5 x 0.01 = 0.05
Total = 1.00 + 0.30 + 0.05 = 1.35
Jimmy: total = 5.00 + 0.07 = 5.07
Total of all 3: 0.62 + 1.35 + 5.07 = $7.04
This is less than $8 so they don’t have enough.
They need: 8.00 - 7.04 = $0.96 more
Answer:they need more money
Step-by-step explanation: they need 96 more cents
Evaluate f(x) = -3x + 15 when x=-4, x=0, and x= 5.
Step-by-step explanation:
x = -4,
f(4) = -3(-4) + 15
= 12 + 15
= 27
f(0) = -3(0) + 15
= 0 + 15
= 15
f(5) = -3(5) + 1 5
=- 15 + 15
= 0