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]
The charge on an ion is
a.
always positive.
b.
always negative.
C.
either positive or negative.
Answer:
C. Either positive or negative
NEED HELP PRONTOOO!!!!!!!!!!!!!!!!!!
Answer:
(x + 5)² - 25
Step-by-step explanation:
what are some expressions that are equivalent to
–
2(5n).
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\large\text{Gu\textbf{id}\textsf{e}}\bf\downarrow[/tex]
[tex]\large\textbf{2 negatives = positive}\\\large\textbf{2 positives = positive}\\\large\textbf{1 negative \& 1 positive = negative}\\\large\textbf{1 positive \& 1 negative = negative}\\\\\large\text{Negatives are BELOW 0}\\\large\text{Positives are ABOVE 0}\\\\\large\textsf{Negatives are on the LEFT side of zero.}\\\large\textsf{Positives are on the RIGHT side of zero.}[/tex]
[tex]\huge\textsf{-2(5n) \boxed{\rightarrow} \bf -10n}\\\\\\\\\huge\boxed{\rightarrow\text{-2n + (-2n) + (-2n) + (-2n) + (-2n)}}\\\huge\boxed{\rightarrow \text{\bf -2n - 2n - 2n - 2n - 2n}}\\\huge\boxed{\rightarrow{\text{-4n - 2n - 2n - 2n}}}\\\huge\boxed{\rightarrow \text{-6n - 2n - 2n}}\\\huge\boxed{\rightarrow \text{\bf -8n - 2n}}\\\huge\boxed{\rightarrow \boxed{\text{ -10n}}}[/tex]
[tex]\huge\text{\bf -5(2n)}\\\huge\boxed{\rightarrow \text{-10n}}[/tex]
[tex]\huge\boxed{\text{\bf Therefore, your answers \underline{\underline{could}} be: }}\\\huge\boxed{\bullet \textsf{ -2n - 2n - 2n - 2n -2n}}\huge\checkmark\\\huge\boxed{\bullet \textsf{ -8n - 2n}}\huge\checkmark\\\huge\boxed{\bullet \textsf{ -5(2n)}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
You must include an explanation accompanied with your solution. Answers without
explanations will not receive full credit: *
2 points
Mark invested $125. He earned a simple interest of 3% per year on the initial
investment. If no money was added or removed from the investment, what was
the amount of interest Mark received at the end of two years?
A. $5.70
B. $7.50
C. $75.00
D. $750.00
Your answer
Answer:
B) $7.50
Step-by-step explanation:
Interest (I) = Principal (P) x Interest Rate (r) x Time (t, in years)
I = 125(.03)(2)
I = 7.5
the triangle has a right angle at the middle letter.
In AABC, Ĉ = 40°, BC = 4 cm. Find AB.
Find the length of the second base of a trapezoid with one base measuring 18 feet, a height of 5.3 feet, and an area of 125.4 square feet.
Answer:
29.32 feet
Step-by-step explanation:
area of a trapezoid = height/2 * (first base + second base)
125.4 = 5.3 / 2 * (18 + second base)
125.4 = 2.65 * (18 + second base)
We want to solve for the second base. To do this, we can start by isolating the (18+second base) by dividing each side by 2.65
47.32 = 18 + second base
subtract 18 from both sides to solve for the second base
29.32 = second base
A bicycle has a listed price of $588.95 before tax. If the sales tax rate is 8.25% , find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$637.54
Step-by-step explanation:
The cost is $588.95 and the tax is 8.25%, which needs to be turned into a decimal by moving the decimal 2 places to the left. .0825. Now multiply 588.95 x .0825 and that gives you the tax: $48.59 after rounding. Now add the tax to the price: 588.95 + 48.59 = $637.54.
Pleas help me for B and C
Answer:
In no b 7 people has represented □
In no c 2 people referred giraffe than dogs
Answer:
(b)Total 8 complete square in given pictogram represented 64 people.
(c) 6 more people preferred giraffes than dogs.
For 18-20, factor each of the following and show work.
18. 5x^4 - 25x
19. 4x^2 - 9
20. x^2+8x+12
Step-by-step explanation:
20. x^2+8x+12
x^2 + 6x +2x + 12
X(X+6) + 2(X+6)
(X+2) (X+6)
18. 5x^4 - 25x
5x(x^3-5)
19. 4x^2 - 9
4x^2/4 -9/4 = 0/4
x^2 = 9/4
X=√9/4
greg drove 300 miles at a constant speed for 5 hours. the speed limit is 70 miles per hour. was his rate grater than the speed limit?
No.
Step-by-step explanation:To find the rate for how many miles Greg drove for 5 hours, we need to divide 300 by 5:
300 / 5 = 60.
60 miles represents the speed for 1 hour.
60<70.
The inequality indicates that his rate (60 miles per hour) is less than the speed limit.
8 less than the sum of u and 2
Answer: u < 6
Step-by-step explanation: 2 + u < 8
u < (8-2)
u < 6
Given below, if Xy and are congruent, what is the measure of
A. 140°
B. 280°
C. 100°
D. 80°
(it’s A. 140°)
Answer:
holi , cómo estás espero que bien bueno déjame te digo que está facil soy de México pero voy a clases de inglés y ya me la hicieron esa pregunta y es la D hojala te ayude mucho
6) The original price of a pair of shorts is $40.
They are on sale 30% off. What is the selling
price of the shorts?
Answer:
$28
Step-by-step explanation:
30% = 30/100 = 0.3
40 x 0.3 = 12
40 - 12 = $28
YOU guys can write a story or a situation that can be represented by the given equation.
4a + 5 = 12a - 11
Thank you :)
Answer:
If you have a party and your pizza was split up into 16 pieces, 8 people should be able to have 2 pieces.
Step-by-step explanation:
Cliek an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan click the trashcan to clear all your answers
Factor completely, then place the answer in the proper location on the grid
2107.57a+ 30
123456789
===============================================================
Explanation:
I'll use the variable x in place of 'a'
The expression we need to factor is [tex]21x^2-57x+30[/tex] which is in the form [tex]ax^2+bx+c[/tex]
So,
a = 21b = -57c = 30We'll plug those three values into the quadratic formula
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-57)\pm\sqrt{(-57)^2-4(21)(30)}}{2(21)}\\\\x = \frac{57\pm\sqrt{729}}{42}\\\\x = \frac{57\pm27}{42}\\\\x = \frac{57+27}{42} \ \text{ or } \ x = \frac{57-27}{42}\\\\x = \frac{84}{42} \ \text{ or } \ x = \frac{30}{42}\\\\x = 2 \ \text{ or } \ x = \frac{5}{7}\\\\[/tex]
The two roots of [tex]21x^2-57x+30 =0[/tex] are [tex]x = 2 \text{ and } x = \frac{5}{7}[/tex]
The root x = 2 leads to the factor (x-2) after subtracting 2 from both sides.
The root [tex]x = \frac{5}{7}[/tex] leads to the factor (7x-5) after first multiplying both sides by 7, and then subtract 5 from both sides.
So we have this set of steps:
[tex]x = \frac{5}{7}\\\\7x = 5\\\\7x-5=0\\\\[/tex]
The two factors are (x-2) and (7x-5).
This leads to (x-2)(7x-5)
The last step is to replace x with 'a' so that the variables match up.
We arrive at (a-2)(7a-5)
However, as the next section shows, we have a bit of a problem. Don't worry, it can be easily fixed.
---------------------
Let's expand out that factored expression we found earlier.
[tex](a-2)(7a-5)\\\\b(7a-5)\ \text{ ..... let b = a-2}\\\\7ab - 5b\\\\7a(b) - 5(b)\\\\7a(a-2) - 5(a-2)\ \text{ ..... plug in b = a-2}\\\\7a^2-14a - 5a+10\\\\7a^2-19a+10\\\\[/tex]
That's not good. We should have arrived at the original expression [tex]21a^2-57a+30[/tex]. To fix this discrepancy, we can stick a 3 out front and then notice that:
[tex]3(a-2)(7a-5) = 3(7a^2-19a+10) = 21a^2-57a+30[/tex]
The error has been fixed.
We have the full factorization of 3(a-2)(7a-5)
The order of the factors doesn't matter, so we could have written the answer as 3(7a-5)(a-2). Usually the factor without any variables will be listed first.
Based on the screenshot you posted, if that '7' is locked in place, then the only possible answer is 3(7a-5)(a-2) since you'll have 3 in the first slot, then a ( in the next slot. The other slots are filled out in a similar manner. There are no spaces between any symbol or letter.
A t-shirt shop bought a total of 24 t-shirts (t) and hats (h) combined. They bought t-shirts for $12.50 each and hats for $8 each. The store spent a total of $259.50, which system of equations could be used to find the number of hats and t-shirts bought?
Answer:
12.5t + 8h = 259.5
t + h = 24
Step-by-step explanation:
Write one equation to deal with the costs and one equation to deal with the numbers of shirts and hats.
12.5t + 8h = 259.5
t + h = 24
Select the expressions that are equivalent to 12n - 8. Select all that apply.
A. 3n + 4 + 3n + 4 + 4n
B. 11n + 4 + n -12
C. 6(6n - 2)
D. 4(3n – 2)
E. 4n + 22 - 12 + 8n
A.3n+4+3n+4+4n
=3n+3n+4n+4+4
=10n+8
B.11n+4+n-12
=11n+n+4-12
=12n-8
C.6(6n-2)
=36n-12
D.4(3n-2)
=12n-8
E.4n+22-12+8n
=4n+8n+22-12
=12n+10
so,B and D are the expressions that are equivalent to 12n-8.
6. If the pattern continues, what would be the ninth number in the pattern?
4 8, 12, 16___
( full question on pic )
Hi! can someone help me please, thank u!
Answer:
20
Step-by-step explanation:
You're counting by 4's. Which are the following 4,8,12,16,20 and so on. Hope this helps :D
PLEASE HELP!!!!
ILL MARK AS BRAINIEST!!!!
ANSWER HOW MUCH U CAN!!!
Answer:
1) C
2) B
3) D
4) A
5) B
Step-by-step explanation:
Hope this helps
MAy I get braineist pls???????????
Answer:
MARK ME AS BRAINLIEST!!!
Step-by-step explanation:
1. A
2. B
3. D
4. A
5. B
HAVE A NICE DAY!!!
:)
1/2 + (-7) – 2 1/2 - (-2)
Vika made $35,500 last year. If her income is increased by 10.5%, what is her adjusted income,
Ai? (show equation).
Answer:
$39,227.50
Step-by-step explanation:
Vika's income will be ...
$35,500 + 10.5%×35,500 = $35,500(1 +0.105) = $39,227.50
Vika's adjusted income is $39,227.50.
find the length of the rectangular plot of land whose weight is 10 M and perimeter is 44 m
Step-by-step explanation:
Area of this plot =(84×84) m
2
=7056 m
2
length of rectangular plot =144 m.
We know that the area of the square plot is same as the area of the rectangular plot
Let breadth of rectangular plot be x.
then, 144x=7056 [∵ Area of a rectangle =l×b ]
⟹x=
144
7056
=49 m
∴ The width of rectangular plot is 49 m.
Which one weighs more a watermelon that weighs 7.5 kilograms or a pumpkin that weighs 12 pounds?
Answer : The watermelon weighs more
Step - by - step explanation :
First do . . . what is 7.5 kilograms into pounds ? 16.5347 ( rounded is 17 pounds )
Second compare . . . 17 > 12
Hope this helped ! :D
Determine if they are congruent. State how they are.
[tex]\huge \bf༆ Answer ༄[/tex]
The Correct choice is ~ D
[tex] \textsf{Not enough information }[/tex]The given triangles are not congruent, because they they just have all their corresponding angles equal to one another, so we need more information ~
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer: y= (1/4)x
Step-by-step explanation: Best guess given screenshot, matched with desmos.
Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle? 82° 92° 102° 112°.
The measure of the fifth interior angle is 102 degrees.
A polygon is an object with five sides. It is made up of five straight edges and 5 interior angles. The sum of interior angles is 540 degrees.
In order to determine the fifth interior angle, the sum of the four interior angles would be subtracted from sum of interior angles in a polygon.
Fifth interior angle = 540 - (88 + 132 + 100 + 118)
= 540 - 438
= 102 degrees
Please find attached an image of a pentagon. A similar question was answered here: https://brainly.com/question/2906515
Kinsey adds -1 7/8 and it's opposite
Answer:
0
Step-by-step explanation:
the opposite is 1 -7/8 when you add them together they cancel out to zero
what is the factor of this 3x - 12
Answer:
3 (x - 4)
Step-by-step explanation:
Dont know how to calculate it
Answer:
AB = 105
Step-by-step explanation:
Since ∠ A and ∠ B are equal then Δ ABC is isosceles with 2 congruent legs.
AC = BC , substitute values
6x - 7 = 5x + 7 ( subtract 5x from both sides )
x - 7 = 7 ( add 7 to both sides )
x = 14
Then
AB = 7x + 7 = 7(14) + 7 = 98 + 7 = 105
Can someone help me, please? :((((
Answer:
C 132 square units
Step-by-step explanation:
. Happy Friday