Which expression is equal to (−12−2i)+(2+2i)?
10−4i
−10−4i
−10
10
Answer:
-10!
Step-by-step explanation:
Write the word sentence as an equation. Then solve. A number x multiplied by 2/5 is 3/20 .
The given word sentence translates into the algebraic equation 2/5 * x = 3/20. Solving this equation returns x = 3/8 as the solution.
Explanation:The word sentence 'A number x multiplied by 2/5 is 3/20' is translated into an algebraic equation as: 2/5 * x = 3/20. To solve for x, you could do cross multiplication or simply divide both sides of the equation by 2/5, which gives: x = (3/20) / (2/5). Simplifying this equation leads to: x = 3/20 * 5/2 = 15/40 = 3/8. Therefore, the solution to the equation is x = 3/8.
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Choose the correct slope of the line that passes through the points (−4, 8) and (−3, −6). (1 point)
7
−14
0
14
Answer:
-14
Step-by-step explanation:
There are 18 boys and 60 girls working on a community service project. they work in groups where each group has the same number of boys and the same number of girls. what is the first step to finding the greatest number of groups possible? what is the greatest number of groups possible? what is the first step in finding the solution?
How to solve on a road map of pennsylvania, the disatance from philadelphia to washington,
d.c. is 6.8 centimeters. the map scale is 2 cm;40 mi. what is the actual distance between the cities?
two workers paint lines for angled parking spaces. One worker paints a line so that m<1= 65. The other worker paints a line so that m<2= 65. Are their lines parallel? Explain
A bus traveled 472 miles at a constant rate in 16 hours. What was the speed of the bus?
miles per hour
Answer:
29.5 miles per hour.
Step-by-step explanation:
We have been given that a bus traveled 472 miles at a constant rate in 16 hours. We are asked to find the speed of the bus.
We will use speed formula to solve our given problem.
[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]
Upon substituting our given values in above formula, we will get:
[tex]\text{Speed}=\frac{472\text{ Miles}}{16\text{ hours}}[/tex]
[tex]\text{Speed}=\frac{29.5\text{ Miles}}{\text{ hour}}[/tex]
Therefore, the speed of the bus is 29.5 miles per hour.
The isotope calcium-41 decays into potassium-41, with a half-life of 1.03 × 10^5 years. There is a sample of calcium-41 containing 5 × 10^9 atoms. How many atoms of calcium-41 and potassium-41 will there be after 4.12 × 10^5 years?
Management theories of leadership focus on which of the following?
A. Situations <--- My Answer
B. The leader's style
C. Rewards and punishments
D. Relationships
2. In which conflict style do people often have a firm idea of what they want to see happen and they will fight to make that happen?
A. Collaborative
B. Competitive
C. Compromising
D. Accomodating
3. With a de-emphasizing approach to conflict, the focus is put on which of the following?
A. Areas of agreement
B. Differences in personality
C. Points of contention
D. All of the above
4. Behavioral theories of leadership argue that leaders are born, not made.
True
False
Robert bought his car 4 years ago.
Each year the value of the car has depreciated by 15%.
The car is now $6264
Calculate how much the car was worth when he bought it.
the pattern below follows the rule "starting with a value of 3, every consecutive row has a value that is 2 less than twice the value of the previous row" what is the fifth value? a. 18 b. 12 c. 34 d. 66
Answer: a. 18
Step-by-step explanation:
Given phrase : "starting with a value of 3, every consecutive row has a value that is 2 less than twice the value of the previous row"
The recursive formula for the given phrase :-
[tex]a_n=2a_{n-1}-2[/tex]
The first term : [tex]a_1=3[/tex]
The second term : [tex]a_2=2(3)-2=4[/tex]
The third term : [tex]a_3=2(4)-2=6[/tex]
The fourth term : [tex]a_4=2(6)-2=10[/tex]
The fifth term : [tex]a_5=2(10)-2=18[/tex]
Hence, the fifth value of the pattern = 18
Answer:18
Step-by-step explanation:
There are 300 coins of the same type in two stacks. One stack is 380 millimeters tall. The other is 220 millimeters tall. Find the thickness of one coin
Find f(-3) if f(x) = x^2.
-9
-6
6
9
It's not -6!!
Answer:
f(-3) = (-3)²
= -3 * -3
= 9
Step-by-step explanation:
What is the sum of the first five terms of the geometric series 3 − 6 + 12 − . . . ?
Hint: r ≠ 1, where a1 is the first term and r is the common ratio.
Hint: image attached
OPTIONS:
A) S5 = −136
B) S5 = −33
C) S5 = 12
D) S5 = 33
Heather's fish tank has 18 liters of water in it. she plans to add 4 liters per minute until the tank has more than 58 liters. what are the possible numbers of minutes heather could add water?
If CDEF ≅ MNPQ, then EF≅ _____
.
PQ.
QM.
MN.
NQ
Final answer:
In the context of congruent polygons, side EF of polygon CDEF is congruent to side PQ of polygon MNPQ due to the corresponding order of sides in congruent figures.
Explanation:
The question refers to congruent figures in geometry, specifically congruent polygons. If polygons are congruent, all corresponding sides and angles are congruent as well. Therefore, if CDEF ≅ MNPQ, then side EF must be congruent to the side of polygon MNPQ that corresponds to EF in the order of letters given. Following the order, side EF corresponds to side PQ.
The reciprocal of a number plus the reciprocal of three times the number equals 1/3. find the number.
what is the answer to y-3.5=-2.1
The value of variable y in y - 3.5 = -2.1 is 1.4 .
Given , equation : y-3.5=-2.1
To get the value of y isolate the variable y.
y - 3.5 = -2.1
Combine like terms,
Take -3.5 from LHS to RHS . The sign will be changed from negative to positive.
y = 3.5 - 2.1
y = 1.4
Therefore the value of y that will satisfy the equation is 1.4 .
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Evan earns $12 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 30 hours for the week. Part A: Create an equation that shows the amount of money earned, M, for working x hours in a week when there is no overtime. (3 points) Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 30 hours. (3 points) Part C: Evan earned $510 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)
Rose leaves her apartment to take her dog for a walk. She goes 3 blocks due south, 8 blocks due east, 5 blocks due north, and 8 blocks due west. At this point, where is Rose in relation to her apartment?
Answer:
3 blocks due west
Step-by-step explanation:
What is x-intercept of the line with the equation 4×+2y=12?
What is the sum of 4 times a number and 3 is bigger than 15, but also -21 at most?
if the discriminant of an equation is positive, which of the following is true of the equation?
A. it has one complex solution
B. it has two real solutions
C. it has one real solution
D. it has two complex solutions
Planes X and Y and points J, K, L, M, and N are shown.
Exactly how many planes contain points J, K, and N?
0
1
2
3
No plane contains these points, as we can see on the image, point J does not belong to any of the shown planes.
How many planes contain points J, K, and N?A plane contains a point if the point lies on the plane. For example, here you can see that plane X contains the points K and N.
But, if you look at the image, no plane contains the point J, then there is no plane that contains the 3 points J, K, and N, so the correct option is 0.
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Find the area of the polygon with the given vertices. w(0, 0), x(0, 3), y(−3, 3), z(−3, 0)w(0, 0), x(0, 3), y(−3, 3), z(−3, 0)
which conjunction or disjunction is equivalent to the given absolute value inequality?
|x + 2| > 16
a. x + 2 > 16 and x + 2 < - 16
b. x + 2 < 16 and x + 2 > - 16
Answer:
a.
Step-by-step explanation:
|x+2|>16
x+2>16 or x+2<-16
So, tecnically a and b are incorrect, but if you change the "and" to "or" the correct would be a.
Given: Angle 2 and Angle 3 are a linear pair. Angle 3 and Angle 4 are a linear pair. Prove Angle 2 is congruent to Angle 4.
1. Angle 2 and Angle 3 are a linear pair. Angle 3 and Angle 4 are a linear pair. Reason: Given
2. Angle 2 and Angle 3 are supplementary. Angle 3 and Angle 4 are Supplementary.
Reason: ?
3. Angle 2 is congruent to Angle 4.
Reason: ?
Angle 2 and Angle 4 are congruent because they form a linear pair and their sum is 180 degrees.
Explanation:Given that Angle 2 and Angle 3 are a linear pair and Angle 3 and Angle 4 are a linear pair, we can prove that Angle 2 is congruent to Angle 4.
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HELP PLEASE!
What is the value of f(−1) when f(x)=2x+2 ?
Enter your answer in the box.
f(−1)= ?
the expression 12x+15x-11x can be combined because of which property
A. commutative property of addition
B. distributive property
C. additive inverse property
D. multiplicative property
The expression 12x+15x-11x can be combined using the associative property of addition.
Explanation:The expression 12x+15x-11x can be combined by using the associative property of addition.
First, combine the like terms which have the same variable, in this case 'x'. Add the coefficients of the like terms, which are 12, 15, and -11. 12x + 15x - 11x = (12 + 15 - 11)x = 16x.Therefore, the simplified expression is 16x. The associative property of addition allows us to group the terms in any order and still get the same result.
Final answer:
The expression 12x + 15x - 11x can be simplified due to the associative property of addition, enabling terms to be grouped and combined to yield a simplified form of 16x. The correct option is not provided in the choices, but would be the associative property, not listed in the student's options.
Explanation:
The expression 12x + 15x - 11x can be simplified by combining like terms, which is possible because of the associative property of addition. This property allows us to group numbers in an addition expression in any way we choose without changing the result.
Therefore, using the associative property, we can group and combine the terms with 'x' to get (12x + 15x) - 11x, which simplifies to 27x - 11x, and then further to 16x.
The correct answer to the question is Option A: associative property of addition, though it is important to note that this option was not listed in the initial question provided. The commutative property allows us to change the order of the terms without changing the result, but does not directly apply to the combination of like terms.
Nevertheless, both the associative and commutative properties are used when combining like terms in algebra.
The earnings of two employees are given below: Employee A: 6% commission on all sales Employee B: 4% commission on the first $80,000 and 8% on anything over $80,000 How much more does a straight commission employee make than the graduated commission employee for sales of $100,000?
Employee A makes $1,200 more than Employee B for sales of $100,000.
The earnings of Employee A are:
= Commission rate x Sales
= 6% x 100,000
= $6,000
The earnings of employee B are:
= Commission on first $80,000 + Commission on anything above $80,000
= (4% x 80,000) + (8% x (100,000 - 80,000)
= 3,200 + (8% x 20,000)
= $4,800
The difference is:
= Employee A commission - Employee B commission
= 6,000 - 4,800
= $1,200
In conclusion, Employee A makes $1,200 more than Employee B for sales of $100,000.
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