Answer:
4+6i
Step-by-step explanation:
Distribute the 2 to the 3i
You get 6i, you can't add 4 to 6i because 4 is real and 6i is imaginary.
It's a complex imaginary number
Real
[tex]\\ \sf\longmapsto 4+3i^2[/tex]
i^2=-1[tex]\\ \sf\longmapsto 4+3(-1)[/tex]
[tex]\\ \sf\longmapsto 4-3[/tex]
[tex]\\ \sf\longmapsto 1[/tex]
a school community had planned to reduced the number of grade 9 students per class room by constructing additional class rooms. how ever ,they constructed 4 less rooms than they planned.as the result the number of students per class was 10 more than they planned. if there are 1200 grade 9 students in the school,determine the current number of class rooms and the number of students per class
please help me with this
Answer: 3Z
Step-by-step explanation:
75 percent of the sutdents in a school went on a field trip. If 285 students went on the trip, how any students are in the school
Answer:
380
Step-by-step explanation:
285 / x = 75 / 100
Cross multiply 28500 = 75x
Divide by 75 380
the two triangles below are similar.
Answer:
Step-by-step explanation:
yes they are just a rotated triangle
Elizabeth bought lemons (l) and apples (a). Each apple costs 35¢ and each lemon costs 15¢. All together, she bought 17 lemons and apples for $3.95. Which system can be used to determine how many of each she bought?
Answer:
B.
Step-by-step explanation:
Each apple costs 35¢ and each lemon costs 15¢. All together, she bought 17 lemons and apples for $3.95. Which system can be used to determine how many of each she bought?
She bought a total of 17 apples and lemons combined.
So the equation that would represent this is,
l + a = 17.
Each apple costs 35¢ and each lemon costs 15¢. All the lemons and apples cost $3.95 togther.
So the equation that would represent this is,
0.15l + 0.35a = $3.95
Half of the marbles in a box are red, a third are white, and the other 6 are blue. Find the probability of picking a marble that is not blue
The probability of picking a marble that is not blue is 5/6
The proportions of the balls are given as:
[tex]Red = \frac 12[/tex]
[tex]White = \frac 13[/tex]
[tex]Blue = 6[/tex]
The probability of picking a ball that is not blue is:
[tex]P(Not\ Blue) = P(Red) + P(White)[/tex]
So, we have:
[tex]P(Not\ Blue) = \frac 12 + \frac 13[/tex]
Rewrite the fractions as equivalent fractions
[tex]P(Not\ Blue) = \frac 36 + \frac 26[/tex]
Take LCM
[tex]P(Not\ Blue) = \frac {3 + 2}6\\[/tex]
Add 3 and 2
[tex]P(Not\ Blue) = \frac {5}6[/tex]
Hence, the probability of picking a marble that is not blue is 5/6
Read more about probabilities at:
https://brainly.com/question/8652467
A stadium has 50,000 seats. Seats sell for $25 in section A, $20 in section B, and $15 in section C. The number of seats in section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,071,000 from each sold-out event. How many seats does each section hold?
Answers:
section A = 25,000 seats
section B = 14,200 seats
section C = 10,800 seats
Your teacher may want you to leave out the commas from each number.
=============================================================
Work Shown:
A = number of seats in section AB = number of seats in section BC = number of seats in section CA = B+C
A+B+C = 50,000
B+C+B+C = 50,000
2(B+C) = 50,000
B+C = 50,000/2
B+C = 25,000
C = 25,000 - B
25A + 20B + 15C = 1,071,000
25(B+C) + 20B + 15C = 1,071,000
25(25,000) + 20B + 15(25,000 - B) = 1,071,000
625,000 + 20B + 375,000 - 15B = 1,071,000
1,000,000 + 5B = 1,071,000
5B = 1,071,000 - 1,000,000
5B = 71,000
B = (71,000)/5
B = 14,200 is the number of seats in section B
C = 25,000 - B
C = 25,000 - 14,200
C = 10,800 is the number of seats in section C
A = B+C
A = 14,200 + 10,800
A = 25,000 is the number of seats in section A
--------------
Check:
A+B+C = 25,000+14,200+10,800 = 50,000
(-5, 10) (-5, 9) What is the slope?
Answer:
The slope is undefined.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-10)/(-5-(-5))
m=-1/(-5+5)
m=-1/0
undefined
Since the slope is undefined, this is a vertical line.
Answer:
undefined
Step-by-step explanation:
Ok, we will use the formula:
[tex]\frac{y^{2} -y^{1} }{x^{2} -x^{1} }[/tex]
The points (-5, 10) is our one, making -5 x1 and 10 y1
The points (-5, 9) is our two, making -5 x2 and 9 y2
now we add them into our formula
[tex]\frac{9-10}{-5-(-5)} = \frac{-1}{0}[/tex] = undefined
Hope this helps. Check with someone else to make sure. <3
What is this expression in simplest form?
Answer:
A. 1÷(X+1) (x-2)
some steps are directly
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factor the expression 14x - 21 using the GCF
PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT
Answer:
sin =5/3
tan = sin/cos= 3/5/5/3=1
Step-by-step explanation:
you haven't game me much to work with but sin= opp/adj and cos= adj/opp so there you go
HELP ME OUT REAL QUICK!
Answer:
Step-by-step explanation:
ab abahha
Foster needs to divide a plot of land covering 538 acres into plots covering 34 acre each. How many whole plots can he make?
Given that the total amount of land in acres is 538
The problem statements requires us to divide the total amount of land into 34 places, the number of whole parts is 15 acres
Mathematically we have
538/34 = 15.823
But we are required to return the whole parts, therefore, let us ignore the values that comes after the decimal point. we have 15
Learn more about division of numbers:
https://brainly.com/question/17220365
x(x + 1) (x + 2) (x + 3) ÷ x(x + 1)
Answer:
(x+1)^2*(x+2)*(x+3)
Step-by-step explanation:
(x+1)(x+2)(x+3)x.(x+1)
(x+1)^2*(x+2)*(x+3)
(x+3)
(((x•(x+1))•(x+2))•—————)•(x+1)
x
(x + 1) • (x + 2) • (x + 3) • (x + 1)
Multiply (x+1) by (x+1)
Write 110% as a mixed number in simplest form.
110% = $$
Answer:
50
Step-by-step explanation:
Cynthia gave 1/5 of her toys to her little sister. If she had 25 toys, how many did she give away?
Answer:
25*1/5(or 0.2)=
5
she gives a way 5 toys
Hope This Helps!!!
The number of toys that she gives away will be 5.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Cynthia gave 1/5 of her toys to her little sister.
If she had 25 toys.
Then the number of toys that she gives away will be given by the product of 25 and 1/5.
⇒ 25 x 1 / 5
⇒ 5
The number of toys that she gives away will be 5.
More about the Algebra link is given below.
https://brainly.com/question/953809
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x-2/7=8
Give your answer in improper fraction
evaluate the expression 16.78-12.237
Answer: The answer to the expression is 4.543.
Answer : 4.543
Step-by-step explanation :
First step, subtract . . . what is 16.78 minus 12.237 ? 4.543
pls quick plsssssssss
Answer:
[tex]{ \rm{perimeter = side + side + side}} \\ \\ { \rm{perimeter = 3 \frac{1}{2} + 4 \frac{2}{3} + 5 \frac{1}{4} }} \\ \\ { \rm{perimeter = 13 \frac{5}{12} \: cm}}[/tex]
PLEASE HELP!!! Can someone help me figure this out
Answer:
Step-by-step explanation:
x^2 = 5x + 24 Transfer (subtract) 5x + 24 to the left.
x^2 - 5x - 24 = 5x-5x+24 -24
x^2 - 5x - 24 = 0 This does factor. -8 and 3 are your factors.
(x - 8)*(x + 3) = 0
So if x - 8 = 0
then x - 8 + 8 = 0 + 8
x = 8
If x + 3 = 0
then x = - 3
Are these both correct?
x^2 = 5x + 24
x = 8
8^2 = 5*8 + 24
64 = 40 + 24
64 = 64
and x - 8 is a factor
x^2 = 5x + 24
x = - 3
(-3)^2 = 5 * -3 + 24
9 = -15 + 24
9 = 9
And x + 3 is a correct factor
If tanx = 0.75, what is the value of cosx + sinx ?
Answer:
theta is eq to 36.86 value is. 0.5998+0.8=1.399
A student's bank account is represented in the table shown.
1. Create a linear regression equation that can be used to model the amount of money in the account (the balance), y, based on the time (in weeks), x. Round all values to the nearest hundredth.
2. What is the slope of your linear regression equation? What does it mean in the context of the situation (time and $).
3. Use the model to approximate the amount in the account after 15 weeks. Round to the nearest hundredth.
4. Use the model to approximate how long it would take to have $50.00 in the account.
The desmos link is in the reply section below...
1.) y = 1.56x + 1.29
2.) the slope is 1.56
As the weeks are increasing, the student's balance is growing about 1.56 per week.
3.) y = 24.69
4.) 50 = 1.56x + 1.29
50 - 1.29 = 1.56x + 1.29 - 1.29
48.71 =1.56x
48.71 / 1.56
31.2
A printer is printing photos. For every 8 photos, the printer takes 2 minutes. Complete the table below showing the number of photos and the time it takes to print them.
Jane wrote all the natural numbers from 5 to k. including 5 and k
how many numbers did Jane write?
need help!!!
Given that "Jane wrote all the natural numbers from 5 to k. Including 1 and k"
So Jane wrote k numbers.
lets take an example
if k = 10 , then natural numbers between 1 and 10 are 10 numbers that are 1 , 2 , 3 ,4 ,5 ,6 , 7 , 8 ,9 and 10.
Hence she write k numbers.
Jane wrote k - 4 natural numbers for the given condition.
What are natural numbers?Natural numbers are defined as which range from 1 to infinity and are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.
Jane wrote all the natural numbers from 5 to k, including 5 and k.
So, she wrote the numbers as 5, 6, 7, 8, 9, ..., k.
To find out how many numbers Jane wrote, we have to subtract 4 from each of these numbers because 4 numbers (1, 2, 3, 4) come before 5.
1, 2, 3, 4, 5, ..., k-1
So, there are k-1 - 4 + 1 = k - 4 natural numbers between 5 and k, inclusive.
Therefore, she wrote k - 4 natural numbers.
Learn more about natural numbers here :
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BRAINLIEST 87x89 PLEASE
Answer:
7743 caught you again lolllll
solve (2x + 5)= (2x + 3)(2x - 1)
[tex](2x + 5)= (2x + 3)(2x - 1)\\<=>2x+5=4x^2-2x+6x-3\\<=>4x^2-2x+6x-3-2x-5=0\\<=>4x^2+2x-8=0\\<=>(4x+1-\sqrt{33})( 4x+1+\sqrt{33})=0 \\<=> x=\frac{-1+\sqrt{33} }{4} /or/x=\frac{-1-\sqrt{33} }{4}[/tex]
Answer:
x = -1± sqrt( 33)
----------------------------
4
Step-by-step explanation:
(2x + 5)= (2x + 3)(2x - 1)
Distribute
2x+5 = 4x^2 +6x-2x-3
Combine like terms
2x+5 = 4x^2 +4x -3
Subtract 2x +5 from each side
0 = 4x^2 +4x-3-2x-5
Combine like terms
0 =4x^2 +2x -8
Using the quadratic formula
a=4 b=2 c=-8
x = -b± sqrt( b^2-4ac)
----------------------------
2a
x = -2± sqrt( 2^2-4(4)(-8))
----------------------------
2(4)
x = -2± sqrt( 4+128)
----------------------------
8
x = -2± sqrt( 132)
----------------------------
8
x = -2± 2sqrt( 33)
----------------------------
8
x = -1± sqrt( 33)
----------------------------
4
Find 51% of the number 93.
Answer:
47.43
Step-by-step explanation:
To find 51% of the number 93, multiply the latter by 0.51:
0.51(93) = 47.43
Answer:
47.43
Step-by-step explanation:
51% of 93
[tex]\frac{51}{100}\times \frac{93}{1}[/tex]
[tex]=\frac{4743}{100\times \:1}[/tex]
[tex]=\frac{4743}{100}[/tex]
if f(x)=4(3x-5), find f^-1(x)
Answer:
f^-1(x) = (x+20) / 12
Step-by-step explanation:
f(x) = 4(3x-5)
Let y be the image of f.
y = 4(3x-5)
y = 12x-20
y+20 = 12x
x = (y+20) / 12
f^-1(y) = (y+20) / 12, so
f^-1(x) = (x+20) / 12
Eric scored 95% on his math test. He got 19 problems correct. How many questions were on the test?
i'm pretty sure it's 20.
The nth term of the sequence 27,37,47
Answer: The 9th term of the sequence 27,37,47 is 107.