[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]
[tex] \large \bf\frac { 5 - 3 i } { - 2 - 9 } \\ [/tex]
Subtract 9 from -2 to get -11.
[tex] \large \bf \: Re(\frac{5-3i}{-11}) \\ [/tex]
Divide 5-3i by -11 to get [tex]\sf-\frac{5}{11}+\frac{3}{11}i \\ [/tex].
[tex] \large \bf \: Re(-\frac{5}{11}+\frac{3}{11}i) \\ [/tex]
The real part of [tex]\sf-\frac{5}{11}+\frac{3}{11}i \\ [/tex]is [tex]\sf-\frac{5}{11} \\ [/tex].
[tex] \large \boxed{\bf-\frac{5}{11} \approx -0.4545..} \\ [/tex]
Answer:
[tex] \frac{5 - 3i}{ - 2 - 9} \\ = \frac{ 5 - 3i}{ - 11} \\ = \frac{5}{ - 11} + \frac{3i}{11} \\ thank \: you[/tex]
giải bất phương trình
a)2x+1/2x+2<1
b)1/x+4<1/x-2
Answer:
[tex]a)x < - \frac{2}{5} [/tex]
[tex]b)4 < - 2[/tex]
Step-by-step explanation:
[tex]a)2x + \frac{1}{2} x + 2 < 1[/tex]
[tex] = 4x + x + 4 < 2[/tex]
[tex] = 5x + 4 < 2[/tex]
[tex] = 5x < 2 - 4[/tex]
[tex] = 5x < - 2[/tex]
[tex] = x < - \frac{2}{5} [/tex]
[tex] = x < - 0.4 \times ∈( - \infty . - \frac{2}{5} )[/tex]
[tex]b) \frac{1}{x} + 4 < \frac{1}{x} - 2[/tex]
[tex] = \frac{1}{x} + 4 < \frac{1}{x} - 2.x≠0[/tex]
[tex] = 4 < - 2[/tex]
= X ∈ ∅
What division problem iS
being
modeled?
Answer: I THINK fraction
Step-by-step explanation:
1/4 = fraction
2. Which number line is correct? Why are the others incorrect?
Answer:
the middle one is correct
Step-by-step explanation:
the first one is incorrect because the way negative numbers are ordered is incorrect it should be "-3, -2, -1"
the middle one is correct because the pattern is consistent and the order of the numbers are correct
the third one is incorrect because the pattern doesn't match "-15" isn't counting by twos 15 isn't an even number
hope I helped ❤
Explanation:
The first number line is incorrect because the -1, -2, -3 should be reversed to get -3, -2, -1. It's reversed because the negatives are a mirror image of the positive counterpart.
The second number line is correct. Each number shown is separated with a gap size of 20. This gap size stays the same throughout the number line.
The third number line is incorrect. The gap from -15 to -12 is 3 units, while the gap from -12 to -10 is 2 units. We see that the gap size isn't the same through the entire number line.
So to summarize: the gap size must be the same and the numbers must be written in the correct order.
It was recommended that students drink 48 or more ounces of water.
How could you use a histogram to easily display the number of students
who drank the recommended amount?
Histograms are used to graph the frequency of data, where the length of the bar represents the frequency.
The number of students that drank the recommended amount of water are 125
Given that
[tex]Recommended = 40\ or\ more[/tex]
The number of students who drank the recommended amount are students whose frequency (i.e. length of bars) is 40 or more
From the histogram (see attachment), only 2 bars are above the frequency of 40.
And the number of students in these bars are: 50 and 75
[tex]Total =50 + 75[/tex]
[tex]Total =125[/tex]
Hence, the number of students that drank the recommended amount of water are 125
Read more about histograms at:
https://brainly.com/question/14421716
12 1/4 + 11.14 =
[tex]12 \frac{1}{4} + 11.14[/tex]
Answer:
166.25
Step-by-step explanation:
12 1 /4 + 154
166 1/4
665/4 , 166.25
Hey there!
12 1/4 + 11.14
= 49/4 + 11.14
= 12.25 + 11.14
= 23.39 or 23 39/100
Answer: 23.39 or 23 39/100
Good luck on your assignment and enjoy your enjoy your day!
~Amphitrite1040:)
what is cos 0 when sin 0 = 2/5
Answer:
cos 0 = 1
.................
Please help!
Please do not just give the answer, also explain please because I need to know how to do this.
Find the value of X
Answer:
x = 6.5
Step-by-step explanation:
In order to solve this problem, you need to use trigonometry (sin, cosine, tangent).
Sin = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
We need to use tangent in this case because 10 is the opposite side from the 57° angle, and x is right next to it, making it adjacent. So, our equation would look like this:
tan (57)° = 10/x
Multiply both sides by x
x (tan (57)°) = 10
Divide both sides by tan (57)°
10 / tan (57)° = 6.49408 = 6.5
Step-by-step explanation:
We are given two angles measures and one side. Notice the given angle and the side that is opposite to that given angle is given. We need to find side x. But can we also find the angle opposite of the side we are trying to find. Yes we can
Remeber that triangles interior angles add up to 180.
Remeber that triangles interior angles add up to 180.One angle measure 90 and the other measure is 57 so
[tex]90 + 57 + x = 180[/tex]
[tex]x = 33[/tex]
So the angle opposite of the side we are trying to find is 33.
Since we know two angles and two sides that are opposite of those two angles respectively, we can use what is called Law of Sines
[tex] \frac{b}{ \sin(b) } = \frac{c}{ \sin(c) } [/tex]
where the numerator are the side measures, and the denominator are the angle measures.
Plug in the respectively values. Angle 57 is opposite of 10 and Angle 33 is opposite of x.
[tex] \frac{10}{ \sin(57) } = \frac{x}{ \sin(33) } [/tex]
Multiply both sides by sin 33 to isolate x.
We get
[tex]x = 6.494[/tex]
Round if needed
In other words, apply law of sines when you have two angles and two sides that are opposite of those angles respectively.
write three hundred and ninety six million two hundred and forty two thousand and two as a numeral
Answer:
Below.
Step-by-step explanation:
396,242,002
Solve the compound inequality 8x > –32 or 6x ≤ –48.
Answer:
x>-4 x≤-8
Step-by-step explanation:
What is the solution to this system of equations?
( __ , __ )
Answer:
x = 5
y = 3
(5,3)
Step-by-step explanation:
use substitution...
4x -3(2x-7) = 11
-2x + 21 = 11
x = 5
y = 3
How do you find the slope of a line given the points ( -1 , -1 ) and ( 5 , -3 ) on the line?
Answer:
-1/3
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
-3-(-1)/5-(-1)
-2/6
-1/3
Best of Luck!
Lisa bought a bracelet for $20.50, a scarf for $8.75, and socks for $6.25. How much money did she spend?
Answer:
Lisa spent $35.50
Step-by-step explanation:
$20.50 + $8.75 + $6.25 = 35.5
In terms of money, it is $35.50
Write an equation in point-slope form of the line that passes through the given point and
has the given slope: (3,4), m=1/3
Answer:
y - 4 = 1/3 (x - 3)
Step-by-step explanation:
How do you solve this?
Answer:
Its minus 70 every time
Step-by-step explanation:
n=32
Answer:
it will take 36 months to completely pay the loan
Step-by-step explanation:
see that if the number of months paid is 1 and the amount owed is 2450 and that on number of months paid is 2 and then the amount owed is 2380
every month we have to substract 70
so we can make a pattern
0 months = 2520
1 month = 2450 that is 2520 - 70
2 months = 2380 that is 2520 - (2 × 70)
3 months = 2310 that is 2520 - (3 × 70)
.....
then it continues till n months
so
n months = 2520 - (n ×70)
n months = 2520 - (36 × 70)
36 months = 2520 - 2520
Simplify:
6 - 2 =
14 14
Answer:
6-2=1414
Step-by-step explanation:
6-2=1414
now
sub 6 from 2
4=1414
now divide 1414 by 4
1414÷4
[tex]1414 \div 4[/tex]
you will get the answer
Step-by-step explanation:
[tex] \frac{6}{14} - \frac{2}{14} \\ have \: same \: denomenator \: so \: we \\ \: can \: substract \: it \: directly \\ \frac{6 - 2}{14} \\ = \frac{4}{14} = \frac{2}{7} \\ thank \: you[/tex]
The temperature reading that is halfway between −10 degrees and 40 degrees is ___ degrees.
If the temperature was −3 degrees in the morning and 8 degrees in the afternoon, the change in temperature during that time is ____ degrees.
If the temperature has been changing at a rate of −1.5 degrees each hour, and it is currently 5 degrees, the temperature 4 hours ago was ___ degrees.
If the temperature continues to change at this rate of −1.5 per hour, and it is currently 5 degrees, the temperature in 4 hours will be ____ degrees.
Answer:
30, +11, 11, -1
Step-by-step explanation:
-10 + 30 = 10, 40 - 30= 10
-3 + 11 = 8
5 + (1.5 x 4) = 11
5 - (1.5 x 4) = -1
simplify 6^2n+1x9^nx4^2n÷18^nx2^nx12^2n please help ..Thank you
Answer:
[tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex]
Step-by-step explanation:
Assuming you meant [tex]\frac{6^{2n}+1*9^n*4^{2n}}{18^n*2^n*12^{2n}}[/tex], the answer is [tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex].
Please help work is due in a couple of minutes
Step-by-step explanation:
3m is the answer.
hope it helps
Answer:
3 meters
Step-by-step explanation:
The train starts at (0, 0) and ends at (6, 3). So the train travels in 6 seconds (6 - 0) 3 meters (3 - 0).
multiply (2x+5) (2x-3)
(x-4) (3x²+5x+2)
Answer:
[tex]thank \: you[/tex]
(a) Find the common difference of an A.P. whose first term is 5 and the number of terms is 30 and sum 1455.
(b) Find the common difference of an A.P. whose first term is 9, the number of terms is 7, and the sum is 0.
it's a optional mathematics Questions please solve him
Can someone help me pls ASAP
Find an equation of the line L that contains the points (0,0) and (5,3)
Y =
Answer:
y = (3/5)*x
Step-by-step explanation:
First, we can use the slope-intercept form of a line, or y=mx+b
To find the slope, m, we can find
(y₂-y₁)/(x₂-x₁). Denoting (0,0) as (x₁,y₁) and (5,3) as (x₂, y₂) (it is perfectly okay to have (0,0) as (x₂, y₂) and (5,3) as (x₁,y₁) as well), we have
(y₂-y₁)/(x₂-x₁) = (3-0)/(5-0) = 3/5
Therefore, our equation is
y = (3/5)x + b
To solve for b, we can plug any value of (x,y) from the line, e.g. (0,0), and solve from there, resulting in
y = mx + b
0 = (3/5)*0 + b
0 = b
Our equation is therefore
y = (3/5)*x + 0
= (3/5)*x
Click on all of the numbers that make the comparison true.
8.32 >
A 8.058
B. 8.492
C. 8.41
D. 8.28
E. 8.1
F. 8.3
Answer:
A, D, E, F
Step-by-step explanation:
0.32 is bigger than 0.058; smaller than 0.492 and 0.41, but also bigger than 0.28, 0.10 and 0.30
Answer:
Step-by-step explanation:
35
The temperature at 12:00 p.m. was 8°C. At 7:00 p.m., the temperature was -6°C. What was the change in temperature (in degrees Celsius)?
�� 6-degree increase
�� 14-degree increase
�� 6-degree decrease
�� 14-degree decrease
Answer: 14-degree decrease
Step-by-step explanation:
because it is getting colder and we know this because anytime temperature goes from positive to negative it becomes mad cold.
Anyways subtracting 14 from our initial temp at 8 degrees celsius brings us to a brisk -6 celsius
Hello! I’ll take any help !!
Answer:
√73
Step-by-step explanation:
a^2+b^2=c^2
8^2+3^2=c^2
64+9=c^2
√73 =√c^2
√73 =c
is -6.146 contued a rational or irrational
explian pls
Step-by-step explanation:
cannot be written as a fraction so its irrational
how many numbers are there between 256 and 789 that are divisible by 7
Answer:
76
Step-by-step explanation:
How many numbers are between 256 and 789 are divisible by 7 ?
Generalizing, we could look for a procedure that, given two integers A and B, with B>A , and a module M, tells us how many integers x, with A<=x<=B , are divisible by M.
a) let n1 be the lowest integer >=A such that n1 is divisible by M.
If n1>B , than not even n1 has the required properties and the output of the procedure is 0; otherwise, go to the next step.
n1 will be the first number of the sequence of numbers divisible by M.
b) let n2 be the highest integer <=B such that n2 is divisible by M.
Notice that it’s not possibile that n2<A , as you alway have the possibility n2=n1 .
n2 w
A simple way to think about this is by calculating the largest multiple of 7 less than 256 (let’s call it y) and the smallest multiple of 7 greater than 789 (let’s call it x). The answer is then all the multiples of 7 in between these two numbers, which can be represented by:
x−y7−1
Let’s do it:
252 is the largest number less than 256 divisible by 7. y = 252
791 is the smallest number greater than 789 that’s divisible by 7.
Thus, our answer is 113-36–1 = 76.
Note: we subtract 1 or else we would include the number on the top end of the range (in this case, 791).
Hope it helped you!!
Pls mark me the brainliest :)
Which graph represents the solution set to the system of inequalities?
p.s. i didn't mean to click that answer
Answer:
A (the firs one)
Step-by-step explanation:
Intersecting at (-3, 3)
Can someone plz help me?
Answer:
C 6 loaves with flour left over
Step-by-step explanation:
Take the amount of flour and divide by the amount of flour per loaf
9/2 ÷ 2/3
Copy dot flip
9/2 * 3/2
27/4
Change to a mixed number
4 goes into 27 6 times with 3 left over
6 3/4
Answer:
He can make 6 loafs and he would have 1/6 cups of flour left
Step-by-step explanation:
Write down the formula of calculating the average of the individual data
