Answer:
please check explanations
Step-by-step explanation:
As we all know, i is same as root of -1
let us expand what we have;
(1 + i)^2
= 1(1 + i) + i(1 + i)
= 1 + i + i + i^2
as i is square root of -1, the square of the square root of -1 is -1
Thus, we have
1 + 2i - 1
= 2i
multiple choice! please help me :)
the 100th term of the sequence with the term -1-4n
Given:
The terms of a sequence are given by
[tex]a_n=-1-4n[/tex]
To find:
The 100th term of the sequence.
Solution:
We have,
[tex]a_n=-1-4n[/tex]
Putting n=100, we get
[tex]a_{100}=-1-4(100)[/tex]
[tex]a_{100}=-1-400[/tex]
[tex]a_{100}=-401[/tex]
Therefore, the 100th term of the given sequence is -401.
On Monday Sylvia spent 5/12 of a day driving to her cousins house. On Friday she spent the same amount of time driving home. What fraction of a day did Sylvia spend driving to her cousins house and back?
Answer: The fraction of a day did Sylvia spend driving to her cousins house and back = [tex]\dfrac{5}{6}[/tex]
Step-by-step explanation:
Given: Fraction of day Sylvia spent to drive her cousins home = [tex]\dfrac5{12}[/tex]
Fraction of day Sylvia spent to drive her home back= [tex]\dfrac5{12}[/tex]
Total fraction of day Sylvia spend driving to her cousins house and back = [tex]\dfrac5{12}+\dfrac{5}{12}[/tex]
[tex]=\dfrac{5+5}{12}\\\\=\dfrac{10}{12}\\\\=\dfrac{5}{6}[/tex]
Hence, the fraction of a day did Sylvia spend driving to her cousins house and back = [tex]\dfrac{5}{6}[/tex]
Here are the prices of some items and the amount of sales tax charged on each in Nevada. Cost of Item $10; Tax .57 Cost of Item $50; Tax 2.85 What is the sales tax rate in Nevada?
2.5% 7%
4.8% 5.7%
the product of two numbers is -72. one of the factors -9, what is the other factor?
Complete the table by entering the correct value in each blank. (Enter fractional answers like
as 1/5.)
Expression Value
A
B
C
D
Answer:
D
O
N
T
KNOW
Step-by-step explanation:
Y
O
U ARE
W
E
L
C
O
M
E
Under her cell phone plan, Aubrey pays a flat cost of $57.50 per month and $4 per gigabyte . She wants to keep her bill at $75.10 per month . Write and solve an equation which can be used to determine the number of gigabytes of data Aubrey can use while staying within her budget .
Answer:
57.50+4x=75.10
x=4.4
So she can use up to 4.4 gigabytes of data
Solve the system using substitution.
6x+8y=30 y=1/2x
Answer:
(3, 1.5)Step-by-step explanation:
Given the system:
6x + 8y = 30 y=1/2xSubstitute y and solve for x:
6x + 8y = 306x + 8(1/2x) = 306x + 4x = 3010x = 30x = 3Find y:
y = 1/2xy = 1/2(3)y = 1.5Solution is (3, 1.5)
factorise for 4x + 2
Answer:
2(2x + 1)
Step-by-step explanation:
4x = 2 * 2x
2 = 2 * 1
Tom has ⅞ cup of olive oil. He uses ½ cup to make salad dressing and ¼ cup to make tomato sauce. How much olive oil does Tom have left?
Answer:
1/8 cup left
Step-by-step explanation:
Starts with 7/8
Uses 1/2 which equals 4/8
Then uses another 1/4 which equals 2/8
4/8+2/8 is 6/8 so he uses 6/8 of olive oil
He has 7/8 and uses 6/8 so 7/8-6/8 quals 1/8
Encuentra el mínimo común múltiplo para cada par de números.
1) 3, 24
2) 24, 4
3) 8, 2
4) 5,30
5) 3, 40
erin has 40,000 in a savings account that earns 15% interest per year. the interest is not compounded. how much will she have in 3 months?
Answer:
$41500
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 15%/100 = 0.15 per year,
putting time into years for simplicity,
3 months ÷ 12 months/year = 0.25 years,
then, solving our equation
I = 40000 × 0.15 × 0.25 = 1500
I = $ 1,500.00
The simple interest accumulated
on a principal of $ 40,000.00
at a rate of 15% per year
for 0.25 years (3 months) is $ 1,500.00.
Complete the table:
a. 1
c. 2
b. -1
d. 0
Answer:
cos0 = 1
cos90 =0
so a for the first one and d for the other
Answer:
The answer is -1
Step-by-step explanation:
:)
A square has legs of 11, what is the measure of its hypotenuse
A.) 9.4 or B.)15.6
15.6 is the measure of the hypotenuse of the square.
What is a square?A square is a two-dimensional closed shape with 4 equal sides and 4 vertices.
Given that one side of the square is 11.
The diagonal is the hypotenuse of the square.
Since square have equal sides, the hypotenuse can be obtained using Pythagorean theorem.
i.e. 11² + 11² = (hypotenuse)²
i,.e. (hypotenuse)² = 121+121 =242
Therefore, hypotenuse = √242 = 15.6
Hence, the measure of the hypotenuse of the square is 15.6
To learn more about square, use the link given below:
https://brainly.com/question/11800577
#SPJ2
i need help, may someone help please..
Answer:
if line p is going through the middle x is equal to 5
Mel cleans houses. She earns $7.50 every hour she dusts. She earns $10.00 every hour that
she scrubs floors. She scrubbed floors for 1.5 hours and dusted for 2 hours. How much money
did Mel earn?
5x+3y-z-4x-3y-z help please
The simplified version of this x-2z
Step-by-step explanation:
You need to start by combining like terms. You can start with the terms that have the variable x in them. By combining those terms, the equation becomes x+3y-z-3y-z.
From here, you can combine the terms 3y and -3y, which bring the equation to x-z-z.
From here, combine the terms with the variable z. This would bring the equation down too x-2z, your final answer.
You're making deliveries and can travel 484 miles on 22 gallons of gas. How far can
you travel on 38 gallons of gas?
Solve for x. I don't know how to do this. Please help.
1.A rectangular room contains 600m cube of air and its height is 5m.
(i) Find the area of its floor.
(ii) Find the cost of carpeting its floor at Rs 60 per sq.m.
Answer:
24 m square
1,440 RS
Step-by-step explanation:
Volume is height x area
600= 5 x area => area = 600/5 = 24 m2
24 sqm x 60 RS/ sqm = 1,440 RS
Sanaa went into a t-shirt store and purchased 2 t-shirts for $30. The store is having a sale for 40% off. What is the amount of money she will save with the sale?
Answer:
$12
Step-by-step explanation:
$30 x .40 = $12
GIVING BRAINLIEST
The table shows the temperature at noon of four towns for 2 days.
Player
Temperature Temperature
Day 1 (°F) Day 2 (°F)
Mimstown
4 -6
Pikeville
-9 -1
Jackson
-4 3
Lancaster
6 14
Which town had the SMALLEST change in temperature between the two days?
jackson
Step-by-step explanation:
=
What is the value of the expression below when w=
3?
5w + 2
Answer:
17
Step-by-step explanation:
5w+2
Substitute w as 3
5(3)+2
Multiply
15+2
Add
17
I hope this helps!
Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector’s house to bike home. He can bike the 8 miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch up. He can ride to Darnell’s house in 24 minutes. Assuming they bike the same path, will Hector catch up to Darnell before he gets home?
Answer:
yes
Step-by-step explanation:
Even after 5 minutes, it will still take Darnell 27 more minutes to get home. If Hector can make it in 24 minutes, then he can catch up to Darnell before he gets home.
There are 30 pieces of fruit in a bowl and 12 of them are oranges. What percentage of the pieces of fruit in the bowl are oranges?
Answer:
40% of the fruit in the bowl are oranges.
Step-by-step explanation:
12/30=0.4
jack finds this list of ingridents needed to make 20 muffins. To make 20 muffins you need 220ml milk, 250g castel sugar, 400g flour.
Jack has these ingridents : 1 litre of milk, 750g caster sugar and 1.5kg flour. Work out the greatest number of muffins Jack can make with his ingridents!
Answer:
60 muffins
Step-by-step explanation:
Find out how much ml you need for each ingredient.
20 muffins =
220 ÷ 20 = 11 (milk)
250 ÷ 20 = 12.5 (castel sugar)
400 ÷ 20 = 20 (flour)
Find out the greatest number of muffins Jack can make.
1 litre = 1000 ml
1000 ÷ 11 = 90.90 (recurring decimal) (milk)
750 ÷ 12.5 = 60 (castel sugar)
1500 ÷ 20 = 75 (flour)
Find the smallest answer out of the 3 questions.
Point VV is located at (-5,3)(−5,3) on the coordinate plane. Point VV is reflected over the yy-axis to create point V'V ′ . Point V'V ′ is then reflected over the xx-axis to create point V''V ′′ . What ordered pair describes the location of V''?V ′′ ?
Given:
Point V is located at (-5,3) on the coordinate plane.
It is reflected over the y-axis to create point V'.
Point V' is then reflected over the x-axis to create point V''.
To find:
The location of point V''.
Solution:
We have,
Point V= (-5,3)
If point V reflected over the y-axis, then
[tex](x,y)\to (-x,y)[/tex]
[tex]V(-5,3)\to V'(5,3)[/tex]
If point V' reflected over the x-axis, then
[tex](x,y)\to (x,-y)[/tex]
[tex]V'(5,3)\to V''(5,-3)[/tex]
Therefore, the ordered pair (5,-3) describes the location of V''.
Answer:
5,3
Step-by-step explanation:
Point VV is located at (-4,6)(−4,6) on the coordinate plane. Point VV is reflected over the xx-axis to create point V'V
′
. What ordered pair describes the location of V'?V
′
?
In Kelsey’s pencil case, she has 2 highlighters for every 7 pencils. What is the ratio of pencils to highlighters?
Answer:
7:2
Step-by-step explanation:
Answer:
7:2
Step-by-step explanation:
please help me on this will give you brainliest
Answer:
Step-by-step explanation:
m<2= 69 degrees
m<1 and m<3 = 21 degrees
what is the reciprocal of 5 1/4