Answer:
5+3i-2+8i
(5-2)+(3+8)i
3+11i
Solve for d.
2d = 8
d = ?
Answer:
d = 4
Step-by-step explanation:
First, we take the equation 2d = 8
In order to find out what the value of 9 must be in order to make this equation true, we must isolate the variable. That can be done by doing the opposite operation. In this case, the opposite operation would be division since d is being multiplied by 2 to get 8.
So, we have to divide both sides of the equation by 2:
2d = 8
2 2
2d divided by 2 is equal to d.
And 8 divided by 2 is equal to 4.
Therefore, d is equal to 4.
Hope this helps!!
Answer:
d=4
.......................................
Mr. Donley drove 504 km in each direction on a vacation
trip. The average rate going was 14 km/h faster than the
rate returning. The total time for the entire trip was 21
hours. Find the average rate for each direction.
Answer:
Data that we know:
He drove 504km in each direction.
Going, the average speed was 14km/h more than returning.
The total trip lasted 21 hours.
Ok, to solve this first:
Let's define the variables:
Sg = Average speed when going.
Sr = Average speed when returning.
Then we can write one of our relationships as:
Sg = Sr + 14km/h.
Now, you can recall the relation:
Time = Distance/speed.
Then we can write the equation that represents the total time of the travel as:
504km/Sg + 504km/Sr = 21h
Now we can replace the Sg by Sr + 14km/h, and get:
504km/(Sr + 14km/h) + 504km/Sr = 21h.
Now we must multiplacate by each denominator, in order to remove them:
504km*Sr + 504km*(Sr + 14km/h) = 21h*Sr*(Sr + 14km/h)
Sr*1008km + 7056km^2/h = 21h*Sr^2 + 294km*Sr
Now we can write a cuadratic equation, where i will ignore the units so it is easier to read, as:
21*Sr^2 -714*Sr - 7056 = 0
The solutions are given by the Bhaskara formula:
[tex]Sr = \frac{714 +- \sqrt{714^2 - 4*21*(-7056)} }{2*21} = \frac{714 +- 1050}{42}[/tex]
We have two solutions, one negative and one positive, and because Sr represents an average speed, it must be a positive number, then we choose the positive solution:
Sr = (714 + 1050)/42 km/h = 42km/h
Now we have the average speed for the returning, with this we can find Sg.
Sg = Sr + 14km/h = 42km/h + 14km/h = 56km/h.
Find the product of each pair of complex conjugates.
(3 + 8i)(3 – 8i)
Answer:
73
Step-by-step explanation:
How do I do this problem?
Answer: you would put x and y in their places
and solve it, remember, Ax+By+C=0
but in this case its Dx+Ey+F
What is the vertex of the quadratic equation? y=(x+6)^-4
(6,-4)
(6,4)
(-6,-4)
(-6,4)
Calculate the average atomic mass between the following isotopes of Copper. Cu63: 68% for mass of 62.93 amu , Cu65: 32% for a mass of 64.93 amu.
The person with correct answer will receive branliest answer, thank you and please help me :)
Answer:
the third one
Step-by-step explanation:
first you would multiply the mass and the "amu" of both of the isotopes of copper when you have what you multiplyed, you add that product and get your answer.
Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes. Calculate the price per 36 rolls for each shop. Write which shop is the best value for money in the comment box. lidals deal is 9 £3.51 oldi deal is 4 £1.52
Answer: Oldi gives the best value of money.
Step-by-step explanation:
Lidal's deal : 9 rolls for £3.51
Oldi's deal : 4 rolls for £1.52
Cost per roll = [tex]\dfrac{\text{total cost}}{\text{Number of rolls}}[/tex]
So,
For Lidal, Cost per roll = [tex]\pounds\dfrac{3.51}{9}=\pounds0.39[/tex]
For Oldi', Cost per roll = [tex]\pounds\dfrac{1.52}{4}=\pounds0.38[/tex]
Clearly, [tex]\pounds 0.39> \pounds 0.38[/tex]
Hence, Oldi gives the best value of money.
Find the diameter of a circle whose circumference is 74cm
≈ 24 cm
Step-by-step explanation:Hi there !
c = 2πr } => c = πd => d = c/π
2r = d
replace c ; π
π =3.14
d = 74cm/3.14
= 23.5668
≈ 24 cm
Good luck !
Math!!! Ugh I need help please
Answer:
The relationship is 10+5(r)
Step-by-step explanation:
im not sure but this might be it or at least might help you find your answer:)
Solve the equation for all real solutions.
k^2+8k+22=6
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] {k}^{2} + 8k + 22 = 6 [/tex]
Subtract sides 6
[tex] {k}^{2} + 8k + 22 - 6 = 6 - 6 [/tex]
[tex] {k}^{2} + 8k + 16 = 0[/tex]
[tex] ({k + 4})^{2} = 0[/tex]
Thus ;
[tex]k + 4 = 0[/tex]
Subtract sides 4
[tex]k + 4 - 4 = - 4[/tex]
[tex]k = - 4[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
HELP!!
Are triangles ABC and ALM congruent
A. Yes by AA
B. Yes by SSS
C. Yes by SAS
D. They are not similar
Answer:C
Step-by-step explanation:
Enter the value for x that makes the given equation true.
20x-5(6x+4)=4x-6
(Please show work so I can be able to understand it how this works)
Answer:
x = -1
Step-by-step explanation:
20x - 5(6x + 4) = 4x - 6
20x - 30x - 20 = 4x - 6
-10x - 20 = 4x - 6
-10x - 4x = -6 + 20
-14x = 14
x = -1
What is the distance between (-5, 4) and (-6, 2)? Round your answer
to the nearest ten
Step-by-step explanation:
apply distance formula
If (3 , K) and (2, 4k) are two points on a graph of a line and k is not equal to 0, what is the slope of the line?
Dora, the school lunch manager, says that it takes 225 oranges to make 5 gallons of orange juice how many oranges does Dora need to make one gallon?
Answer:
45
Step-by-step explanation:
Since
5 : 225 = 1 : X
Then we know
225/5 = X/1
Multiplying both sides by 1 cancels on the right
1 × (225/5) = (X/1) × 1
1 × (225/5) = X
Then solving for X
X = 1 × (225/5)
X = 45
Therefore
5 : 225 = 1 : 45
Answer:45
Step-by-step explanation:well all you do is divide 5 from 225
Choose one of the formulas, i do not know which one to choose from.Explanation as well please.
At the end of week one, a stock had increased in value from $5.75 a share to $7.50 a share.Find the percent of increase at the end of week one to the nearest tenth of a percent.At the end of week two, the same stock had decreased in value from $7.50 to $5.75.Is the percent of decrease at the end of week two the same as the percent of increase at the end of week one?Justify your answer.
First, we will find the increase. I don't think it's any of the 3 formulas listed.
The formula I'll be using is Increase = Increased value - Original value
Let x be increase.
x = $7.50 - $5.75
x = $1.75
We then divide the increase by the original value.
Percent of increase = Increase/Original value
Let x be percent of increase.
x = $1.75/$5.75
x is approximately 0.30437
To turn a decimal into a percent, multiply it by 100.
0.30437 x 100 = 30.437
30.437 can be rounded to 30.4
The percent of increase at the end of week one is 30.4%
At the end of week two, the same stock had decreased in value from $7.50 to $5.75.We will first need to find the percent of decrease.
The formula will be Decrease = Original value - Decreased value
Let x be decrease
x = $7.50 - $5.75
x = $1.75
We then divide the decrease with the original value.
Percent of decrease = Decrease/Original Value
Let x be percent of decrease
x = $1.75/$5.75
x is approximately 0.30437
To turn a decimal into a percent, multiply it by 100.
0.30437 x 100 = 30.437
30.437 can be rounded to 30.4
The percent of decrease at the end of week one is 30.4%
Is the percent of decrease at the end of week two the same as the percent of increase at the end of week one? Justify your answer.No because the full percent of increase at the end of week one is 100% + 30.4% so that would be like a 130.4% increase while at the end of week two, it would be 130.4% - 30.4% and that would lead us back to 100%.
4. (03.03 HC)
The table shows the outputs, y, for different inputs, x:
Input 2 4 6 8
Output
(y)
1 2 3 4
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Part B: Compare the data in the table with the relation f(x) = 3x - 10. Which relation has a greater value when x = 8? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) = 80? (5 points)
(10 points)
Answer:
A: The data does represent a function because there are no repeating x values. a function can have repeating y values but cannot have repeating x values. Also, there is one value of y for every value of x.
B: f(x)=1/2x
f(x)= 3x-10
f(8)=1/2(8) ----> 4
f(8)=3(8)-10 ----> 14
f(x)=3x-10 has a greater value when x=8
C: f(x)=1/2x
f(x) = 80
80=1/2x
80*2=x
x=160
Step-by-step explanation:
The data in the table is a function. The relation has f(x) = 3x - 10 has greater value when x = 8. And the value of x is 30 when f(x) = 80.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Part A :
The table has the data values,
x : 2 4 6 8
y : 1 2 3 4
The given data represents a function, because elements in the domain (2, 4, 6 and 8) has only one image in the Range (1, 2, 3 and 4).
Part B :
f(x) = 3x - 10
x = 2, then f(x) = y = -4
x = 4, then f(x) = y = 2
x = 6, then f(x) = y = 8
x = 8, then f(x) = y = 14
The relation f(x) = 3x - 10 has the greater value when x = 8.
Part C :
f(x) = 80
3x - 10 = 80
3x = 80 + 10
3x = 90
x = 90 / 3
x = 30
Hence the relation in the table is a function. The second relation f(x) = 3x - 10 has the greater value when x = 10 after computing the values of both the relations.
To learn more about Functions, click :
https://brainly.com/question/6241820
#SPJ2
what is the midpoint between point A and B
Answer: (-1,4) is the answer
There are some numbers missing in the arithmetic sequence. 2, ___, ____, ____, ___,___, 20
a) Find the common difference
b) Find missing terms
Tunde's cookie shop is having a sale. Marcos
just bought 7 cookies and a $2 milkshake. If his
Hotal was $11.10, what is the cost of each
cookie?
Answer:
Each cookie costs $1.30
Step-by-step explanation:
7x+2=11.10
Subtract 2 from both sides
7x=9.10
Divide both sides by 7
x=1.30
Write the number 3 2/5 in a/b form
Answer:
Step-by-step explanation:
16/5
5*3=15+1=16
16/5
Mrs. Owens bought two candle holders for her dining room table. She paid with a $100 bill and received $32.16 in change. If sales tax is charged at a rate of 6%, what was
the price for one candle holder before taxes?
Drag and drop an answer choice into each empty box below.
$32.00 $32.16 $33.92 $63.76
The price of one candle holder before taxes was
Answer:
$32.00
Step-by-step explanation:
100-36.12 = 67.84 - That's how much she paid for 2 after tax.
So let's eliminate the wrong answers:
63.76*2 is way over 100 so it's not that
33.92*2 is 67.84, but the question asks before taxes so it's not that
32.16*2 is 64.32, but there is tax so we must multiply it by 1.06. 64.32*1.06 is 68.18
32*2 is 64. 64*1.06 is 67.84. There for the correct answer is $32.00
HELPPPPPP!!! I NEED HELP PLEASEEEE
Answer:
A
Step-by-step explanation:
im a 100% sure it is A
tttttttt
Answer:
yes it is a
Step-by-step explanation:
hahahah i dont know how to explain this i just guessed lol
4/5 x 2/7 because my teacher is saying its not this sooooo
Answer:
8/35
Step-by-step explanation:
4/5x2/7
4x2=8
5x7=35
Hope this helps. Plz give brainliest.
Answer:
8/35 Good luck sis ;)
Step-by-step explanation:
Which of the following expressions is modeled on the number line?
The first arrow goes from 0 to 3, which is 3 units.
The second arrow goes from 3 to 6, which is another 3 units.
The total units is 3 + 3 = 6
This means you have 2 different sets of 3, which can be modeled by 2 x 3.
The second choice is correct.
What would the equation be
Answer:
B= x + 5
C= 3x + 7
D= 5 * 7 =35 or 7 + 5= 12
A?= 3x^2 or 3x + x =4x
Step-by-step explanation:
Anthony got 6 problems wrong on a test of 50 questions. What percent of the questions did he get correct?
Answer: 88%
Step-by-step explanation: 50-6=44. He got 44 problems correct. 44/50=.88.
Answer:
88%
Step-by-step explanation:
50-6=44
44/50=88
Convert the fraction to a decimal, then multiply by 100 .
BRAINLIEST
What is the distance between points F(2,9) and G(4,14)? Round to the nearest whole number.
Give only the quantity in your response.
Your answer
i need help asap plsssssss helpppppp
Evaluate g(2) =
[tex]g(2) =[/tex]
Step-by-step explanation:
question is not clear