Answers
Answer:
You put 8i^2 instead of 12i^2. You multiply -6i by -2i which equal -12i^2
Step-by-step explanation:
-7 + 6i - 14i+ 12i^2
-7 - 8i - 12
-19 - 8i
Related Questions
the value of x varies with y and when x=1/3 y=12 write an equationto represent the variation
Answers
Answer:
y = 36x
Step-by-step explanation:
Given that x and y vary directly then the equation relating the is
y = kx ← k is the constant of variation
To find k use the condition x = [tex]\frac{1}{3}[/tex], y = 12, then
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{12}{\frac{1}{3} }[/tex] = 12 × 3 = 36
y = 36x ← equation of variation
The slope of a line is -3 and the y-intercept is (0,4). What is the equation of the line in slope-
intercept form?
Answers
Answer:
y=-3x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-4=-3(x-0)
y-4=-3(x)
y-4=-3x
y=-3x+4
Given that point P partitions AB into a ratio of 3:2, and A is found at (-4, -3) and P is found at (3, 6), find the coordinates for B.
Answers
Answer:
The coordinates of B are (7.67,12)
Step-by-step explanation:
Let the coordinates of B are (h,k).
Now, point P(3,6) partitions AB into a ratio of 3 : 2 and A is found at (-4,-3).
We have to find B(h,k).
Now, from the formula of coordinate geometry we have,
[tex]3 = \frac{2(- 4) + 3h}{3 + 2}[/tex]
⇒ 3h - 8 = 15
⇒ 3h = 23
⇒ h = 7.67
And, [tex]6 = \frac{2(- 3) + 3k}{2 + 3}[/tex]
⇒ 3k - 6 = 30
⇒ 3k = 36
⇒ k = 12
Therefore, the coordinates of B are (7.67,12) (Answer)
Write 2/5 and 1/3 as an equivalent fraction using a common denominator
Answers
Answer:
Step-by-step explanation:
2/5=6/15
1/3=5/15
Answer:
6/15 and 5/15
Step-by-step explanation:
multiply 2/5 by 3 and 1/3 by 5
How is the sum expressed in sigma notion? Multiple choice
Answers
Answer:
The given sum expressed in sigma notation is
[tex]\sum\limits_{i=1}^{5}4^{i-4}[/tex]Therefore [tex]\sum\limits_{i=1}^{5}4^{i-4}=\frac{1}{64}+\frac{1}{16}+\frac{1}{4}+1+4[/tex]Step-by-step explanation:
Given series is [tex]\frac{1}{64}+\frac{1}{16}+\frac{1}{4}+1+4[/tex]
The given sum expressed in sigma notation is
[tex]\sum\limits_{i=1}^{5}4^{i-4}[/tex]Now verify that the sigma notation [tex]\sum\limits_{i=1}^{5}4^{i-4}[/tex] is correct or notNow expand the series [tex]\sum\limits_{i=1}^{5}4^{i-4}=4^{1-4}+4^{2-4}+4^{3-4}+4^{4-4}+4^{5-4}[/tex] [tex]=4^{-3}+4^{-2}+4^{-1}+4^{0}+4^{1}[/tex] ( using the properties [tex]a^{-m}=\frac{1}{a^m}[/tex] and [tex]a^0=1[/tex] )[tex]=\frac{1}{4^3}+\frac{1}{4^2}+\frac{1}{4^1}+1+4[/tex][tex]=\frac{1}{64}+\frac{1}{16}+\frac{1}{4}+1+4[/tex]Therefore [tex]\sum\limits_{i=1}^{5}4^{i-4}=\frac{1}{64}+\frac{1}{16}+\frac{1}{4}+1+4[/tex]Hence verified
Answer:
Option 2
Step-by-step explanation:
1/64 = 4^-3
1/16 = 4^-2
1/4 = 4^-1
1 = 4^0
4 = 4^1
Find the value of x in the isoceles triangle shown below.
PLEASE HELPPPPP
Answers
Answer:
The measure of 'x' is 6 units.
Step-by-step explanation:
Given:
An isosceles triangle.
The two equal arms length = [tex]\sqrt{13}[/tex]
Measure of the altitude = [tex]2[/tex]
Note:The altitude to the base of an isosceles triangle bisects the base.
The altitude also forms 90 degree at the base.
So, the base length can also be seen as 'x' which we can also be written as [tex]x=\frac{x}{2} +\frac{x}{2}[/tex]
And [tex]\frac{x}{2}[/tex] is a part of the right angled triangle.
Where hypotenuse = [tex]\sqrt{13}[/tex]
Perpendicular length =[tex]2[/tex]
Base length = [tex]\frac{x}{2}[/tex]
Now,
From Pythagoras formula we know that:
[tex](hypotenuse)^2 =(perpendicular)^2+ (base)^2[/tex]
Plugging the values:
⇒ [tex](hypotenuse)^2 - (perpendicular)^2 = (base)^2[/tex]
⇒ [tex]\sqrt{ (hypotenuse)^2 - (perpendicular)^2} = (base)[/tex]
⇒ [tex]\sqrt{(\sqrt{13})^2-(2)^2} =\frac{x}{2}[/tex]
⇒ [tex]\sqrt{13-4}=\frac{x}{2}[/tex]
⇒ [tex]\sqrt{9} =\frac{x}{2}[/tex]
⇒ [tex]3=\frac{x}{2}[/tex]
⇒ [tex]3\times 2=x[/tex]
⇒ [tex]6 = x[/tex]
So the value of base 'x' = 6 units.
Option D is the rigth choice.
Please help me... Has to be in my 1pm today and I have no idea... out of my league but I need to pass to get into the course I want
Answers
Answer:
AB = -4i -7j
CD = -5i + 4j
Step-by-step explanation:
i.) vector AB = -4i -7j
where i is the unit vector in the x direction and j is the unit vector in the y direction.
vector AB is 7 units down and 4 units west
ii)vector CD = -5i + 4j
vector CD is 5 units west and 4 units up
There are 16 ounces in 1 pound Chanda picked 9 pounds of cherries from her tree this year find the number of ounces of cherries
Answers
Answer:
16 x 9 = 144 144 is the answer.
Step-by-step explanation:
Kayla counted 40 chairs in the auditorium. In each row, there were 4 chairs on each side of am aisle. How many rows of chairs were there?
Answers
Answer:
10
Step-by-step explanation:
Divide 40 by 4, and you get 10. 10 rows.
David bought 3 dvds and 4 books for $40 at a yard sale. Anna bought 1 dvd and 6 books for $18. How much did each dvd and book cost?
Answers
Answer: d=$12, b=$1
d represents DVDs
b represets books
Step-by-step explanation:
Whenever you have 2 examples of 2 different things (such as books and dvds), make a systems of equations.
Step 1: Write a system of equations
3d+4b= 40
d+6b= 18
Step 2: Eliminate any letter. I'll just choose d.
To elimiate d, you have to make them both equal to the biggest d variable. In other words, make both d terms equal to 3d. To do this, miultiply the 2nd equation by 3, and keep the 1st one the same.
3d+4b=40
3d+18b= 54
Now, elimiate d, by doing 3d-3d= 0. Now use subtraction to solve for b since we used this to get 3 and 3 to 0.
4b-18b=40-54
-14b= -14
b= -14÷-14
b= 1
Each book costs 1 dollar.
Step 3: Plug in b=1 to find how much each dvd costs (plug into any equation)
3d+4b=40
3d+4(1)=40
3d+4=40
3d=40-4
3d=36
d=36÷3
d=12
Each dvd is $12
Step 4: Checks--plug d=12 and b=1 into any equation
3d+4b=40
3(12)+4(1)=40
36+4=40
40=40
It's correct ✅
Also i know this was answered really late but id appreciate if i could get brainliest as i worked pretty hard for this :) Hope i could help the best i could :D
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa hi plz help me
Answers
Answer:
36
Step-by-step explanation:
Easy math all you have to do is look at he problem
If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of (StartFraction f Over g EndFraction) (x)?
all real values of x
all real values of x except x = 5
all real values of x except x = –5
all real values of x except x = 5 and x = –5
Answers
Answer:
all real values of x except x=5
Step-by-step explanation:
If [tex]f(x) = x2 – 25 and g(x) = x – 5,[/tex]
Then the domain is all real values of x except [tex]x=5[/tex].
What is domain in math?The domain of a function is the set of its possible inputs, i.e., the set of input values where for which the function is defined. In the function machine metaphor, the domain is the set of objects that the machine will accept as inputs.
What are all real numbers in math?Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5), and irrational numbers such as √3, π(22/7), etc., are all real numbers.
Learn more about the domain in math here: https://brainly.com/question/24539784
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Solve: 2(23 + a) = 34
Answers
Answer:
a = −6
Step-by-step explanation:
Step 1: You should divide both sides by 2.
[tex]23+a=\frac{34}{2}[/tex]
Step 2: then simplify [tex]\frac{34}{2}[/tex] into 17.
23 + a = 17
Step 3: next, you need to subtract 23 from both sides.
a = 17 − 23
Step 4: lastly, Simplify 17 − 23 to −6 and you're done!
a = −6
Answer:
a = -6
Step-by-step explanation:
2 (23 + a) = 34
46 + 2a = 34
2a = 34 - 46
2a = - 12
a = - 12/2
a = - 6
67% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four.
Answers
To calculate probabilities in a binomial experiment, use the binomial probability formula. For exactly five successes, use P(X=k) = C(n,k) * p^k * (1-p)^(n-k). For at least six successes, sum the probabilities of getting exactly six to ten successes. For less than four successes, sum the probabilities of getting zero to three successes.
Explanation:To find the probability of selecting a certain number of U.S. adults with very little confidence in newspapers, we can use the binomial probability formula. For (a) exactly five, we can calculate the probability using the formula P(X=k) = C(n,k) * p^k * (1-p)^(n-k), where n is the number of trials (10), k is the desired number of successes (5), p is the probability of success (0.67), and C(n,k) is the number of combinations. Plugging in the values, we find P(X=5) = C(10,5) * (0.67)^5 * (1-0.67)^(10-5).
For (b) at least six, we need to calculate the probability of getting six or more successes. We can find this by summing the probabilities of getting exactly six, seven, eight, nine, and ten successes: P(X>=6) = P(X=6) + P(X=7) + P(X=8) + P(X=9) + P(X=10).
For (c) less than four, we need to calculate the probabilities of getting zero, one, two, or three successes: P(X<4) = P(X=0) + P(X=1) + P(X=2) + P(X=3).
Learn more about Calculating probabilities in binomial experiments here:https://brainly.com/question/39666605
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Allie and Sarah decided that they want to purchase renters insurance for the apartment they share. They made a list of all of the items to be covered by the insurance policy, along with their estimated values. If the items to be covered total more than $3000, the insurance company charges an annual premium of 23% of the total value of the items. If the items to be covered total $3000 or less, the insurance company charges an annual premium of 20% of the total value of the items. Using the list of items Allie and Sarah provided, determine their monthly renters insurance premium. Allie's Stuff Sarah's Stuff TV ($250) Stereo ($75) Stereo ($150) Bicycle ($250) CD's ($225) CD's ($130) DVD's ($385) DVD's ($300) Bicycle ($400) IPOD ($80) Microwave ($30) Computer ($675) Laptop Computer ($950) a. $65.00 b. $74.75 c. $325.00 d. $780.00
Answers
Answer:
The answer is b. $ 74.75
Step-by-step explanation:
First, we need to gather the data from the question.Data:
Let x be the value of items to be insured.
1. if the items are more than $ 3 000 it means that x is greater than $ 3000 and the annual premium will be 23 % of the total value.
2. if the items are less or equal to $ 3 000, it means that x ≤ $ 3 000 ( in other words, x is less than or equal to $ 3 000)
Second, we find the total worth of all the items. Adding up all the values gives $ 3900 which is more than $ 3 000. Therefore, rule 1 applies.The annual premium for the goods will be:
annual premium = 23 % × $ 3900
= $ 897
However, the premium is supposed to be paid monthly. Divide the total premium by 12 to get:
$ 897/12 = $ 74.75
This is option c.
What are the roots of the equation x^2 + -9=0
Answers
Answer:
x = 3 or x = -3
Step-by-step explanation:
If x^2 - 9 = 0 we transfer 9 to the right side of the equation and it's change negative sign to positive while doing so
now we have x^2 = 9 the square of a number must be equal to a positive number in real numbers
but the root can be either negative or positive so we say x = 3 or x = -3
a boat costs $16600 and decreased in value by 14% per year. How much will the boat be worth after 11 years?
Answers
The worth of boat after 11 years is $ 3159.3013
Solution:
Given that,
Boat costs $16600 and decreased in value by 14% per year
To find: Worth of boat after 11 years
The formula for decreasing function is given as:
[tex]y = a(1-r)^t[/tex]
Where,
y is the value after "t" years
t is the number of years
a is the initial value
r is decreasing rate in decimal
From given,
a = 16600
t = 11
[tex]r = 14 \% = \frac{14}{100} = 0.14[/tex]
Substituting the values we get,
[tex]y = 16600(1-0.14)^{11}\\\\y = 16600(0.86)^{11}\\\\y = 16600 \times 0.1903\\\\y = 3159.3013[/tex]
Thus the worth of boat after 11 years is $ 3159.3013
Raquel attended a volleyball game that began at 9:30am and ended at 11:45 am she began her lunch at 12:00 pm and ended lunch at 1:00 pm. how much time raquel spend at the game and lunch
Answers
Answer:
Raquel spend 2 hr 15 Minutes at the volley ball game and 1 hour at the lunch
Step-by-step explanation:
Time Spent at the Volley ball match
The difference of 11:45 and 9 :30 is 2:15 which indicate she spend 2 hour and 15 minutes at the lunch.
sameway , from 12 pm to 1 pm , it encounter a difference of 1 Hour.
hence , she spent 1 hr at lunch.
Ann has a business mowing lawns
in her neighborhood. On Mondays
she makes $18, on Tuesdays she
makes $25, and on Thursdays she
makes $19. If Ann makes this
much money every week, how
much will she have made in 3
weeks?
Answers
What is the value of x to the nearest tenth?
Answers
Answer:0.8
Step-by-step explanation:
Answer:
37.0
Step-by-step explanation:
Half of x is the longer leg of the right triangle shown. That leg length can be found using the Pythagorean theorem:
x/2 = √(24.6² -16.2²) = √(605.16 -262.44) = √342.72
x ≈ 2×18.513 ≈ 37.025 . . . . . . rounding to 3 decimal places
x ≈ 37.0
The cost of a rental car at a certain company is a $50 fee plus $0.40 for each mile driven up to 100 miles. For every
mile over 100 miles it is $0.50 per mile. What would the total cost be for renting the car and driving it 120 miles?
A. $40
B. $50
C. $90
D. $100
E. $110
Answers
Answer:
D
Step-by-step explanation:
50 + .40(100) = 90
.50(20) = 10
90 + 10= 100
Answer:
D: 100
So the first multiply 0.4 times 100 which you would get 40 now add the 50 dollar fee to 40 which you would get 90 dollars. Now for the 20 miles remaining multiply 0.5 times 20 which you would get 10. Now add everything together 90+10 which would equal 100.
Solve: x + 1.5= 5.7
How do I solve this?
Answers
Answer:
4.2
Step-by-step explanation:
5.7-1.5=4.2
Answer: x = 4.2
Explanation: If we're asked to solve for x in the equation x + 1.5 = 7.5, what we're really being asked to do is get x by itself on one side of the equation.
So if we take a look at the left side of our equation, notice that 1.5 is being added to x so in order to get x by itself, we must subtract 1.5 from the left side of the equation. Now remember your first rule of solving equations. If we subtract 1.5 from the left side of the equation, we must also subtract 1.5 from the right side of the equation.
So on the left side our +1.5 and -1.5 cancel out and we're simply left with x. On the right side of the equation,
5.7 - 1.5 simplifies to 4.2 so our answer is x = 4.2.
The nice thing about solving equations is that you can always check your answer by plugging it back in to the original equation.
So here, we're gonna plug a 4.2 back in for x in the original equation and we get (4.2) + 1.5 = 5.7.
Since 4.2 + 1.5 = 5.7 is a true statement, our answer checks and we know that it's right.
How do you get 24 using 1, -6, -7, -3
Answers
Answer:
24
Step-by-step explanation:
We want to set up an expression involving 1, -6, -7, -3.
-6*-3--7+1
We use BODMAS to simplify:
We multiply to get:
18--7+1
We now add to obtain:
18--6
Note that negative negative gives addition.
Therefore:
18+6
This finally simplifies to:
24
What the answer to this is
Answers
Answer:
1 and 2 or A
Step-by-step explanation:
it is only what macks seans
solve the system of equations by graphing. x+y=-9 4x+y=-19
Answers
For this case we have the following system of equations:
[tex]x + y = -9\\4x + y = -19[/tex]
We multiply the first equation by -4:
[tex]-4x-4y = 36[/tex]
We have the following equivalent system of equations:
[tex]-4x-4y = 36\\4x + y = -19[/tex]
We add the equations:
[tex]-4x + 4x-4y + y = 36-19\\-3y = 17\\y = - \frac {17} {3}[/tex]
We find the value of the variable "x":
[tex]x = -9-yx = -9 - (- \frac {17} {3})\\x = -9 + \frac {17} {3}\\x = \frac {-27 + 17} {3}\\x = - \frac {10} {3}[/tex]
Thus, the solution of the system is:
[tex](x, y): (- \frac {10} {3}, - \frac {17} {3})[/tex]
See the graphic in the attached image
ANswer:
[tex](x, y): (- \frac {10} {3}, - \frac {17} {3})[/tex]
See the graphic in the attached image
Answer: D
Step-by-step explanation:
Edge 2021
Write 4,570,000 in scientific notation
Answers
Answer:
4.57 x 10(little 6 lol )
Step-by-step explanation:
4.57 x 10^6
(use the caret symbol [^] to type or write)
4.57E+6
(Scientific E-notation)
4570000
(Real Number)
May had 66 books. She gave 3 books to 11 friends. Then, she got 51 more. How many books does May have now?
Answers
Answer:
81
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
So 3 and 11 make 33 and subtract that from 66. That gives you 33. Add 51 and you get 84.
PLEASE HELPPPP WITH THISSSSS
Answers
Answer:
2) Option 9.4 is correct
Therefore the length of the given line segment is [tex]s=9.4[/tex] units
3) Option (1,1) is correct
Therefore the midpoint of the given line segment is M=(1,1)
Step-by-step explanation:
2) Given that the line segment CD with endpoints C at (-3,1) and endpoint at D (5,6)
To find the length of the given line segment :
That is to find the distance of the end points using distance formula
[tex]s=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] units
Let [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] be the given points (-3,1) and (5,6) respectively
Substitute the points in the distance formula we have
[tex]s=\sqrt{(5-(-3))^2+(6-1)^2}[/tex] units
[tex]=\sqrt{(5+3)^2+(5)^2}[/tex] units
[tex]=\sqrt{8^2+5^2}[/tex]
[tex]=\sqrt{64+25}[/tex]
[tex]=\sqrt{89}[/tex]
[tex]=9.4[/tex]
Therefore [tex]s=9.4[/tex] units
Option 9.4 is correct
Therefore the length of the given line segment is [tex]s=9.4[/tex] units
3) Given that the line segment PG with point P at (-6,4) and point at G (8,-2)
To find the midpoint of the given line segment :
Midpoint formula is [tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Let [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] be the given points (-6,4) and (8,-2) respectively
Substituting the points in the midpoint formula we get
[tex]M=(\frac{-6+8}{2},\frac{4-2}{2})[/tex]
[tex]=(\frac{2}{2}+\frac{2}{2})[/tex]
[tex]=(1,1)[/tex]
Therefore M=(1,1)
Therefore option (1,1) is correct
Therefore the midpoint of the given line segment is (1,1)
Please help fast!! A, B, C or D?
Answers
Answer:
the answer would be is 6
Answer:
a
Step-by-step explanation:
Simplify.
14y+112+2−134y−12
I would appreciate it if i get an answer quickly, please and thank you.
Answers
Answer:
answer is 148y + 102
Step-by-step explanation:
First add like terms 14y + 134y = 148y
then add the whole numbere 112 + 2 = 114
then subtract 114 - 12 = 102
and you get 148y + 102