The additive inverse of –2+ 8i will be 2 – 8i. The additive inverse of a digit is the digit that delivers zero when added to it.
What is additive inverse?The additive inverse of a number is the number that produces zero when added to it. A negative number's additive inverse is positive. The additive inverse of itself is zero.
From the definition;
[tex]\rm x= 2+ 8i \\\\ \rm x= 2+ 8i + 2-8i \\\\ \rm x= 0[/tex]
Option C gives zero on addition. That's why it is correct.
Hence the additive inverse of –2+ 8i will be 2 – 8i.
To learn more about the additive inverse refer to the link;
https://brainly.com/question/13715269
Answer:
The answer is C:
2-8i
Step-by-step explanation:
Edge 2022 :-)
A golfer hits from a tee for a 300-yard hole. Her drive carries 275 yards but it’s 13 degrees off the line from the hole. How much farther must the golfer now hit the ball to reach the hole?
By using the cosine rule, we will see that the distance between the golfer and the hole is 69.7 yd.
How to find the distance?Basically, we need to find the length of the missing side of the shown triangle.
So, one side measures 300yd, other side measures 275 yd, and the angle between these sides measures 13°.
Now we can use the cosine rule, where for sides a, b, and c, and angle A (A is the opposite angle to the side a) the rule says:
a^2 = b^2 + c^2 - 2bc*cos(A).
In this case we define:
b = 300ydc = 275 ydA = 13°Replacing that we get:
a^2 = (300yd)^2 + (275yd)^2 - 2*(300yd*275yd)*cos(13°) = 4,853.94 yd^2
a = √(4,853.94yd^2) = 69.7 yd
So the distance between the golfer and the hole is 69.7 yd.
If you want to learn more about triangles, you can read:
https://brainly.com/question/2217700
Find the solution to the set of equations.
2x + 1 = y
4x + 2 = y
Answer:
(-1/2. 0)
Step-by-step explanation:
Given
y = 2x + 1 [correct form of writing a linear equation!]y = 4x + 2Solving for x
Equate both values of y to find the value of x⇒ 2x + 1 = 4x + 2⇒ 2x = -1⇒ x = -1/2Solving for y
Plug the values of x into one of the equationsy = 4(-1/2) + 2y = -2 + 2 = 0Solution
(x, y)(-1/2. 0)[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required solution set is :
[tex]\qquad \sf \dashrightarrow \:( - \frac{1}{2} ,0)[/tex]
See the attachment for solution ~
Claudius took out an unsubsidized stafford loan at the beginning of his six-year college career. the loan had a principal of $4,850, an interest rate of 6.5% compounded monthly, and a duration of ten years. if claudius started paying off the loan when he graduated, what is his monthly payment? round all dollar values to the nearest cent. a. $71.37 b. $81.25 c. $55.07 d. $76.55
Answer:
b.
$81.25
Step-by-step explanation:
taking it rn
Answer:
b 81.25
seen it on quizlet
Step-by-step explanation:
6.
Rahman sets off by car to his office at 08 55. He takes 20 minutes to arrive at his office, What time does he
arrive at his office?
huh its was so hardd can someone explain and solve it for me? :(
Answer:
he will arrive at work by 9:25 to push the time but its rea£y 9:20
Plssss help me with this!!!! It’s really hard
Answer:
2x < 10 would show that even 'if' x would make 2 larger, it still wouldn't match up to 10. But in this case, 2 would turn into 10. 10 = 10.
Tina buys 5 pounds of potatoes for $4. 35 and 3 pounds of carrots for $3. 57 how much does 1 pound of potatoes cost
Answer:
1 pound of potatoes costs $0.87
Sarah and Lily mow lawns during the summer to earn money. Sarah
determined that she can earn between $6. 00 and $6. 25 per hour. Lily estimates
that she earns between $7. 50 and $8. 00 per hour. About how much more money will
Lily earn than Sarah if they each work 22 hours?
Answer:
21.75
Step-by-step explanation:
Because 6.00+6.25=12.25+7.00=19.75+8.00=27.75
The perimeter of a rectangular garage
is 46 meters. The garage is 10 meters
wide. How long is it?
meters
Divide area by width:
46/10 = 4.6 meters
Answer: 4.6 meters
Answer:
The rectangular garage is 13m long.
Step-by-step explanation:
[tex]\sf\large{\star Given:-}[/tex]
Perimeter of rectangular garage = [tex]\sf\pink{46 \:m.}[/tex]Width of the rectangular garage = [tex]\sf\pink{10\:m.}[/tex][tex]\sf\large{\star To\: find:-}[/tex]
How long is the garage (length of garage).[tex]\sf\large{\star Solution:-}[/tex]
[tex]\rightarrow[/tex]As we know that,
Perimeter of rectangle = [tex]\sf\blue{2(length+width)}[/tex]
So, by putting the value of perimeter and width in this formula we get,
[tex]\rightarrow[/tex] [tex]\sf{2(l+10)\:=\: 46}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{2l+20\:=\: 46}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{2l\:=\: 46-20}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{2l\:=\: 26}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{l \:=\: \frac{26}{2}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{l\:=\: 13m.}[/tex]
Therefore, length of the rectangular garage = [tex]\sf\purple{=\: 13m.}[/tex]
_______________________________
Hope it helps you:)
If the scale factor here is 3 (k=3), and if the distance from A to B is 8 units, then what would be the distance from A’ to B’?
8
8/3
24
3
Distance between A'B':-
8k8(3)24Option C
A 10" x 10" sheet of paper is cut diagonally into two congruent right isoscele
triangles. What is the area of each triangle?
Answer:
20
Step-by-step explanation:
.
please help me please
Answer: 8 x 2 = 4
1 x 4 = 4
9 x 3 = 27
2 x 4 = 8
Step-by-step explanation:
PLEASE HELPPPPPPPPP!!!!! ILL GIVE BRAINLIST
y=3x+2
Given x = 5
y = ?
Answer:
17
Step-by-step explanation:
replace x with 5
3*5+2
next you use pemdas
you multiply before you add
3*5=15
15+2=17
Triangle ABC is congruent to B triangle A"B"C".
Which sequence of transformations could have been used to transform triangle abc to produce triangle A'' B'' C''? transform triangle ABC triangle A"B"C"?
A. Triangle ABC was translated 7 units down and then 9 units right.
B. Triangle ABC was translated 10 units to the right and then reflected across the x Axis.
C. Triangle ABC was reflected across the x Axis and then translated 9 units right.
D. triangle ABC was reflected across the y Axis and then translated 7 units down.
Answer: D
Step-by-step explanation:
Sketch a graph that shows the relationship between
grams of honey and grams of salt needed for a bakery
recipe. Show on the graph how much honey is needed
for 70 grams of salt.
help pls
Answer: 98g
Step-by-step explanation:Given relationshipSalt >> Honey >> Flour10 >> 14 >> 425 >> 35 >> 10It is easy to determine that the relationship is:14/10 = 35/25 = 1.4y = 1.4x, where y- honey and x- saltIf x = 70, then y is:y = 1.4*70 = 98 g
Marcus is building a fort. He needs 5 pieces of plywood each with an area of 56.25 square feet for each. If the plywood costs $1.79 per square foot, how much money will Marcus need to build his fort.
write down the next two terms of the number pattern 2,5,8,11,14
Answer:
17 and 20
Step-by-step explanation:
Write down the next two terms of the number pattern 2, 5, 8, 11, 14
Looking at the numbers, we can tell that they are increasing by 3:
2 + 3 = 5
5 + 3 = 8
8 + 3 = 11
11 + 3 = 14
14 + 3 = 17
17 + 3 = 20
Hope this helps!
A rectangular bathroom mirror is 4
feet tall and 7 feet wide. What is its
area?
square feet
Answer:
28
Step-by-step explanation:
area = width x height
area = 7 x 4
area = 28 square feet
Given -
A rectangular bathroom mirror is 4 feet tall and 7 feet wide.ie, length of the mirror, L = 4 feet and breadth of the mirror, B = 7 feet .
To find -
the area of the mirrorSolution -
As we know to find the area of rectangle we use the formula, Area = L × B
Hence, we will be doing the same.
Area = 4 × 7
Area = 28 square feet
Find the distance between A(5, -2) B(3, -6)
Answer:
Over 2 up 4
Step-by-step explanation: I just learned this so I am not a pro but, 5 would be X for A, So to the right, down 2, 3 right for B, down 6
Find the value of X and show your work.
[tex]3x-17+x+40+2x-5=180\\3x+x+2x-17+40-5=180\\6x+18=180\\6x=180-18\\6x=162\\x=27[/tex]Answer:
Step-by-step explanation:
Since the sum of all interior angles of a triangle sums up to 180.
Help solve this circle
You're basically using the supplement angle to find the missing number.
Can someone help me please
first add the ratio numbers which is 12
[tex] \frac{2}{12} \times 6000 = 1000[/tex]
then divide 1000 with 175
=5.71
5.71×2.25
=12.85 ruro
Arnold borrowed $7890 at 11.5 percent for five years.
What is the amount of Arnold's total payment?
$11,580
$10,410
$9,520
$8,560
CAN SOMEONE PLEASE HELP ME ASAP IM STUCK
Which type of data would be considered qualitative data?
The type of data which would be considered as the qualitative data is the smell of the plant.
What is qualitative data?
The qualitative data is the data which describes the quality or the characteristics of a thing.
Qualitative data can be felt rather than measure. The data of color of hairs of cricket team player is an example of qualitative data.
The options for the problem are listed below.
Mass of a plant- It is a type of quantitative data which can be measured in kg.Height of a plant-This type of data is quantitative data which can be measured in m or ft.Smell of a plant-The smell of a plant can be filled and considered as qualitative data. Volume of water-This is also a type of quantitative data.Thus, the type of data which would be considered as the qualitative data is the smell of the plant.
Learn more about the qualitative data here
https://brainly.com/question/24492737
Jackson recorded the following data: 2,5, X, 2, 4, 3. If the mean
of the data is 3, what is the value of x? Explain how you found your answer
Answer:
x = 2
Step-by-step explanation:
mean = sum of data / number of data
3 = 2 + 5 + x + 2 + 4 + 3 / 6
3 = 16 + x / 6
18 = 16 + x
2 = x
The missing value of data is 2.
What is arithmetic Mean?The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.
We have,
Data: 2,5, X, 2, 4, 3
Mean= 3
So, Mean
3 = Sum of data/ Total number of data
3 = (2 + 5 +x + 2 + 4 +3)/ 6
18 = 16 + x
x = 18 - 16
x= 2
So, the missing value of data is 2.
Learn more about Arithmetic Mean here:
https://brainly.com/question/13000783
#SPJ2
I really need help on understanding how the exponents relate to each other ?
because after the exponents it devides
You have a job as a teacher. Your salary for the first year is $37,185.
You will receive a 6% increase every year.
Part A Would an arithmetic or geometric sequence best model this situation?
- Arithmetic
- Both
- Neither
- Geometric
Part B: What explicit formula models this situation?
- an=37185*(.06)^n-1
- an=37185*(1.06)^n-1
- an=6*(37185)^n-1
- an=6*(1.06)^n-1
Part C: How much will your salary be at the start of your 5th year?
- $37,192.57
- $42,564.25
- $46,945.21
- $223,110.00
Answer:
a). Geometric sequence
b).
c). $46945.21 will be the salary at the start of 5th year.
Step-by-step explanation:
My salary for the first year is $37185.
If I get an increase of 6% every year then the next year salary will be,
= $39416.1
Similarly in the second year my salary will be
= $41781.07
So the sequence becomes $37185, $39416.1 $41781.07.....
And there is a common ratio in each successive term 'r' = 1.06
a). Therefore, it's a geometric sequence.
b). Explicit formula for this sequence will be in the form of
Where t = duration in years
c). Salary at the start of 5th year,
= $46945.21
Step-by-step explanation:
Two years ago the Castillo family used $3,250 worth of electricity. Last year they switched to balanced billing averaged over 12 months. What was their monthly payment last year under balanced billing? During last year, they actually used $3,766 of electricity and their balanced billing payments were not enough to pay for their electrical usage. They had to pay the difference at the end of the year. How much did they owe the utility company?
The Castillo family made a monthly payment of $270.83 and they owed the utility company $516
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Two years ago the Castillo family used $3,250 worth of electricity. During last year, they actually used $3,766 of electricity, hence:
Monthly payment = $3250 / 12 = $270.83
Money owed = $3,766 - $3,250 = $516
The Castillo family made a monthly payment of $270.83 and they owed the utility company $516
Find out more on equation at: https://brainly.com/question/2972832
Find the area of the trapezoid. {?} Square centimeters
Answer:
68
Step-by-step explanation:
Use the formula provided...
6 and 11 are b1 and b2, and 8 is h.
So, 6+11 = 17
17/2 = 8.5
8.5*8 = 68
A chocolatier is creating chocolate truffles in the shape spheres. The truffles will be solid chocolate and have a radius of 2.5 cm. How much should each truffle weigh if chocolate weighs 0.71 grams per cubic centimeter? (round to the nearest tenth, if necessary)
The truffles will have a volume of [Answer] cubic centimeters and will weigh a total of [Answer] grams.
Answer: Volume: 65.4 Weight: 46.4
Step-by-step explanation:
Density describes mass per unit volume. The weight of each of the considered chocolate truffle is 46.47 grams approx.
What is density?Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.
Density = (Total amount available)/(total space which contains that amount)
We're given that:
The chocolate weighs 0.71 grams per cubic centimeter. This is density of the considered chocolate, as it is telling that 0.71 grams of chocolate is available per cubic cm.The chocolate truffles are in shape of sphere with radius 2.5 cmVolume of each chocolate truffle = volume of sphere with radius 2.5 cm
= [tex]\dfrac{4}{3} \pi (2.5)^3 \approx 65.45 \: \rm cm^3[/tex]
One cubic cm has 0.71 grams weight,
so one truffle, which has 65.45 cubic cm of chocolate, will weigh approx[tex]0.71 \times 65.45 \approx 46.47 \: \rm g[/tex]
Thus, the weight of each of the considered chocolate truffle is 46.47 grams approx.
Learn more about density here:
https://brainly.com/question/12630910
A group of students is riding in a bike tour. They have biked 15 miles, which is 25% of the tour. How long is the tour?
Answer:
60 miles
Step-by-step explanation:
25% of 60 = 15
Hoped this helped<33