Answer:
The error is that the question equals -13-13.
Step-by-step explanation:
This is absolute value, so anything inside of the bars is positive. Since the first -13 has bars around it it would be positive. But since the second - is outside of the 13 with bars, the 13 stays negative, so it would be 13-13. Hope this helps! :)
Voting in Hillsboro's annual school board elections has been going down by 5% from one election to the next. If 900 parents voted this year, how many will vote 9 years from now?
If necessary, round your answer to the nearest whole number.
9514 1404 393
Answer:
567
Step-by-step explanation:
The multiplier each year is 1 -5% = 0.95. Applying that multiplier 9 times gives ...
900(0.95^9) ≈ 567
About 567 voters are expected to vote 9 years from now.
Simplify the expression to a + bi form: (10 + 6i)(- 2 - 4i)
[tex] \Large{\boxed{\sf (10 + 6i)(-2 - 4i) = 4 - 52i}} [/tex]
[tex] \\ [/tex]
Explanation:To find the algebraic form, also called 'a + bi form', of the given complex number, we will have to expand its expression using FOIL method.
[tex] \\ [/tex]
[tex] \Large{ \sf \: \underline{FOIL \: method \text{:}}} \\ \\ \Large{\boxed{\sf (A + B)(C + D) = AC + AD + BC + BD}} [/tex]
[tex] \\ [/tex]
Let's identify our coefficients and expand the given expression:
[tex] \sf (\underbrace{\sf 10}_{A} + \overbrace{\sf 6i}^{B})(\underbrace{\sf -2}_{C} \overbrace{\sf -4i}^{D}) = 10 \times (-2) + 10 \times (-4i) + 6i \times (-2) + 6i \times (-4i) \\ \\ \\ \sf = -20 - 40i - 12i - 24i^2 = -20 - 52i - 24i^2 [/tex]
[tex] \\ [/tex]
In the complex number system, i² = -1. Therefore, our final answer is:
[tex] \sf (10 + 6i)(- 2 - 4i) = -20 - 52i - 24(-1)= \boxed{\boxed{\sf 4 - 52i}} [/tex]
[tex] \\ \\ [/tex]
▪️Learn more about the algebraic form of a complex number here:
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Two friends, Bart and Claudia, purchased concessions at a basketball game.
Bart purchased 2 drinks and 2 candy bars for a total of $5.00.
Claudia purchased 1 drink and 4 candy bars for a total of $4.75.
Which statement is true?
Drinks cost $1.75 each, and candy bars cost $0.75 each.
Drinks cost 1 point 7 5 dollars each, and candy bars cost 0 point 7 5 dollars each.
Drinks cost $0.75 each, and candy bars cost $1.75 each.
Drinks cost 0 point 7 5 dollars each, and candy bars cost 1 point 7 5 dollars each.
Drinks cost $1.25 each, and candy bars cost $1.25 each.
Drinks cost 1 point 2 5 dollars each, and candy bars cost 1 point 2 5 dollars each.
Drinks cost $1.00 each, and candy bars cost $0.75 each.
The Drink cost $1.75 each, and candy bars cost $0.75 each.
let
The price of a drink = x
The price of a candy bar = y
Bart total purchase
2x + 2y = 5Claudia total purchase
x + 4y = 4.75The cost of each can be calculated by combining the equations. Therefore,
2x + 2y = 5
x + 4y = 4.75
x = 4.75 - 4y
2(4.75 - 4y) + 2y = 5
9.5 - 8y + 2y = 5
9.5 - 6y = 5
-6y = -4.5
y = -4.5/-6
y = 0.75
2(0.75) + 2x = 5
1.5 + 2x = 5
2x = 5 - 1.5
2x = 3.5
x = 3.5/2
x = 1.75
Cost of a drink = $1.75
Cost of a candy bars = $0.75
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form the equation: maha's father is 46 years old. He is 6 years older than four times maha's age. (let maha's age be x)
HELP ASAP PLS 10 POINTS
Answer:
try a or b hope this helps
Answer:
top right
Step-by-step explanation:
Find the value of 19-b when b=7
Answer:
12
Step-by-step explanation:
I really need help i need this ASPA
Answer:
Vertical angles
Actually the correct answer should be Vertically opposite angles
Look!! I need the answer asap, please!
[tex]\bf x+38=-25[/tex]
Answer:
-63Step-by-step explanation:
= > x + 38 = - 25 = > x = - 25 - 38 = > x = - 63...ansHOPE IT HELPS YOU!!!!Answer:
-63 that should help
Step-by-step explanation:
If (x+iy)³ = y+vi then show that (y/x + v/y) = 4(x²-y²)
Answer:
Step-by-step explanation:
[tex] \large\underline{\sf{Solution-}}[/tex]
Given that,
[tex]\rm \longmapsto\: {(x + iy)}^{3} = y + iv[/tex]
[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}(iy) + 3x {(iy)}^{2} + {(iy)}^{3} = y + iv[/tex]
[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}yi + 3x {i}^{2} {y}^{2} + {i}^{3} {y}^{3} = y + iv[/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1 \: \: \: and \: \: \: {i}^{3} = - i }}} \\ [/tex]
So, using this, we get
[tex]\rm :\longmapsto\: {x}^{3} + 3 {x}^{2}yi - 3x{y}^{2} - i{y}^{3} = y + iv[/tex]
[tex]\rm \longmapsto\: ({x}^{3} - 3x {y}^{2}) + i(3{x}^{2}y- {y}^{3})= y + iv[/tex]
On comparing real and Imaginary parts, we get
[tex]\rm \longmapsto\:y = {x}^{3} - 3 {xy}^{2} [/tex]
and
[tex]\rm \longmapsto\:v = {3x}^{2}y - {y}^{3} [/tex]
Now, Consider
[tex]\rm \longmapsto\:\dfrac{y}{x} + \dfrac{v}{y} [/tex]
[tex]\rm \: = \: \dfrac{ {x}^{3} - {3xy}^{2}}{x} + \dfrac{ {3yx}^{2} - {y}^{3} }{y} [/tex]
[tex]\rm \: = \: \dfrac{ x({x}^{2} - {3y}^{2})}{x} + \dfrac{y({3x}^{2} - {y}^{2})}{y} [/tex]
[tex]\rm \: = \: {x}^{2} - {3y}^{2} + {3x}^{2} - {y}^{2} [/tex]
[tex]\rm \: = \: 4{x}^{2} - {4y}^{2}[/tex]
[tex]\rm \: = \: 4({x}^{2} - {y}^{2})[/tex]
Hence, Proved
I NEED HELP ASAP I WILL MARK BRAINLIEST :’]
The question is “Find the equation of the line. Use exact numbers.”
Answer:
y=x-5
Step-by-step explanation:
What is x^2-4+4? Thanks!
Answer:
(x-2)(x-2) or (x-2)^2
Step-by-step explanation:
Hope this helps!
i need to find the slope and the value of A B
Answer:
the slope is 2 and a=8 b=6
Step-by-step explanation:
5) A positive plus a negative will (always, sometimes, never) be negative.
Give an example that proves your answer:
Hello logan693616!
[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]
A positive plus a negative will (always, sometimes, never) be negative.
Give an example that proves your answer:
[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]
A positive plus a negative will sometimes be negative.
Suppose, we take a positive number whose value is greater than that of the negative number. While adding them, we'll take the sign of the greater number, which in this case is positive, so our answer will be a positive number. For example, +4 + (-3) = +1.Now, if we take a negative number which is greater than the positive number, the sum of the two numbers will be negative. For example, (-4) + 3 = -1.So, the answer can actually depend based on the value of the numbers used.Hence, our answer is ⇨ A positive plus a negative will sometimes be negative.__________________
Hope it'll help you!
ℓu¢αzz ッ
given that m 2 = 56 in the diagram what is m 8
A 134
B 66
C 124
D 56
A table of values for a linear function is shown below. What is the slope of the line represented by the values in the table?
What is the domain in (6-4),(8,-4), (8,-8)}?
a) 2,4.13
c) -4,-8}
b) {6,8}
d) (-2,00)
Answer:
B
hope this helps
Ally's science class was looking at bacteria through a microscope. Ally's teacher said some bacteria can be as small as 0.00365 cm long. What is the length of the bacteria written in scientific notation?
The length of the bacteria should be written in scientific notation.
0.00365 in scientific notation = 3 × 10^-3
Given.
length of the bacteria in decimal = 0.00365 cm long
Scientific notation is written in the format x × 10ⁿ
where,
x = any number between digit 1 and 10
n = exponent (positive or negative).
To have a negative exponent value, move decimal to the rightTo have a positive exponent value, move the decimal point to the left.In this case, the nearest significant value is 3
So move the decimal point three times to where 3 is
That is,
0.00365 = 3.65
Since the decimal point is moved to the right 3 times, n = - 3
we have 10^-3
Therefore,
0.00365 in scientific notation = 3 × 10^-3
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Round 11.036568047 to 4 decimal places.
Answer:
11.0366
Step-by-step explanation:
Look at the 5th digit after the decimal place. If it is a 4 or lower, round down. If it is a 5 or higher, round up:
11.03656 - 6 is higher than 5 so the number is rounded up to 11.0366
Hope this helps!
The number is rounded up to 11.0366.
How to identify the place value of a digit in a number?The place values on left of decimal point start as ones, tens, hundreds, and so on...
The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on..
Thus, The tens means multiply by 10
Thus, The tenth means tenth part of that digit which is that digit divided by 10
If we Look at the 5th digit after the decimal place. it is a 4 or lower, round down. If it is a 5 or higher, round up:
11.03656 -
6 is higher than 5 so, the number is rounded up to 11.0366.
Learn more about the decimal here;
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i need help with this im not very good at math.
Answer:
p = 10.9
Step-by-step explanation:
C = 5/9 × (F – 32)
122°F = °C
Answer:
In Celsius the degree is 50°
Step-by-step explanation:
Put the 122° into the equation given.
Negative four and one-fifth minus negative thirteen and one-tenth
Answer:
8 nine tenths
Step-by-step explanation:
Please helppppp please
Answer:
its B
Step-by-step explanation:
I did this in class
1. Solve
2 -(3 -1)=6(1- )
Answer:
2 (-3 - 1) = 6 (-1)?? If thats the equation you were trying to type then the answer is: -8 = -6
Step-by-step explanation:
what is 8 divided by 9/10
7 divided by 5/8
8 divided by 1/2
9 divided by 2/3
8 divided by 5/8
8 divided by 1/4
1 divided by 5/10
8 divided by 1/3
Answer:
8 divided by 9/10
= 8.8888... = 8 8/9
7 divided by 5/8
= 11.2 = 11 1/5
8 divided by 1/2
= 16
9 divided by 2/3
= 13.5 = 13 1/2
8 divided by 5/8
= 12.8 = 12 4/5
8 divided by 1/4
= 32
1 divided by 5/10
= 2
8 divided by 1/3
= 24
Step-by-step explanation:
find the value of x using the triangle
Answer:
x=13
Step-by-step explanation:
See attached image. If you have any questions, let me know!
here does the line y = 2x + 7 cross the y-axis?
at x = 7
at y = 2
at x = 2
at y = 7
Answer:
at y = 7
Step-by-step explanation:
When the line cross at the y-axis, x = 0
y = 2*0 + 7
y = 0 +7
y = 7
5x + y over A equals 2, solve for x
Answer:
2+y over 5
Step-by-step explanation:
5x + y =2
5x=2+y
x=2+y over t
If l is parallel to m find the value of X (x+72)=(3x)
Answer:
x = 27°
Step-by-step explanation:
Given the lines are parallel you have a pair of same-side interior angles and these angles = 180°
x + 72 + 3x = 180
4x + 72 = 180
4x = 108
x = 108/4
x = 27°
The value of x will be 27 degree
The solution to the above problemGiven the lines are parallel you have a pair of same-side interior angles and these angles = 180°
x + 72 + 3x = 180
4x + 72 = 180
4x = 108
x = 108/4
x = 27°
The value of x will be 27 degree
To learn more about the angles of parallel lines refer to:
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Jenna had $180.47 in her checking account. She bought groceries for $75.11 and gas for $29.64. How far below $100 is her checking account now?
$80.47
$4.74
$24.28
$75.72
Answer:
75.72
Step-by-step explanation:
T.
G
1.6 cm
6 cm
6 cm
-
Find volume
Answer:
57.6......
Step-by-step explanation:
v=lxbxh...........