Answer:
- 23 + 19i
Step-by-step explanation:
[tex](2 + 5i)^{2} - (2 + i) \\ \\ = {2}^{2} + {(5i)}^{2} + 2.2.5i - 2 - i \\ \\ = 4 + 25 {i}^{2} + 20i - 2 - i \\ \\ = 4 - 25 + 20i - 2 - i \\ ( \because \: {i}^{2} = - 1) \\ \\ 4 - 25 - 2 + 20i - i \\ \\ = - 23 + 19i[/tex]
A TV that usually sells for $185.47 is on sale for 20% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?
Answer: The price of the TV including tax is $157.65.
Step-by-step explanation:
please help, will be grateful and give brainliest!
Answer:
x=216°
Step-by-step explanation:
100%=360°
To find 10% divide by 10
10%=36°
x4
40%=144°
in a full circle thered 360°
360-144=216°
x=216°
the sales tax rate is 5%, if Kayden buys the digital camera priced at $837.41 how much tax will he pay round your answer to the nearest cent
Answer:
$41.87
Step-by-step explanation:
$837.41×0.05=$41.8705 or $41.87
the taxes will be $41.87
15. Cedric lives at one end of Main Street, and Landon lives at the other end of the street. Main Street is 6.02 Kilometers long. Cedric walks 3.9 kilometers toward Landon's house. How many more meters must Cedric walk to arrive at Landon's house? 2.12 m 9,920 m 2,120 m 3,920 m
Answer:
2,120 m
Step-by-step explanation:
Cedric lives at one end of Main Street, and Landon lives at the other end of the street
Main Street is 6.02 Kilometers long. Cedric walks 3.9 kilometers toward Landon's house.
Step 1
We calculate the kilometers Cedric has to walk to arrive at Landon's house
This is given as:.
6.02km - 3.9 km
= 2.12 km
Step 2
How many more meters must Cedric walk to arrive at Landon's house?
We convert from km to m
1 km = 1000m
2.12km = x
Cross Multiply
x = 2.12 × 1000m
x = 2120 m(meters)
16 skiers on 4 boats
Calculate the quotient.
A. 3/4 divided by 5 1/5 is? B. 3/7 divided by 2 1/2 is? C. 5/8 divided by 6 5/6 is? D. 8 3/10 divided by 5/8 is?
What are the answers?
A) 3/4 ÷ 5 1/5.
Answer:
[tex] \frac{15}{104} [/tex]
B) 3/7 ÷ 2 1/2.
Answer:
[tex] \frac{6}{35} [/tex]
C) 5/8 ÷ 6 5/6.
Answer:
[tex] \frac{15}{164} [/tex]
D) 8 3/10 ÷ 5/8.
Answer:
[tex]13 \frac{7}{25} [/tex]
A miner earns a wage of $28.42 per hour, plus an allowance of $9.97 per hour for working underground in confined spaces. If the miner works from 8.30am to 4.00pm each day from Monday to Friday, calculate his yearly income
Answer:
$74,860.50
Step-by-step explanation:
Wages per hour = $28.42
Allowance per hour = $9.97
8.30am to 4.00pm = 7.5 hours
Per day income (24 hours) = 7.5 * $28.42 + 7.5 * $9.97
= $213.15 + $74.775
= $287.925
Weekly income (Monday - Friday) = 5 days * $287.925
= $1,439.625
There are 52 weeks in a year
Yearly income = 52 weeks * $1,439.625
= $74,860.50
His yearly income = $74,860.50
What is the equation of the line that passes through (4, -1) and (-2, 3)?
Answer:
3--1/-2-4=4/-6=2/-3
y=-2/3x+b
-2*-2/3=4/3
3-4/3=5/3
y=-2/3x+5/3
Step-by-step explanation:
Answer:
[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]
Step-by-step explanation:
We want to find the equation of the line that passes through the two points:
(4, -1) and (-2, 3).
First, we will find the slope of the two points. So:
[tex]\displaystyle m=\frac{3-(-1)}{-2-4}=\frac{4}{-6}=-\frac{2}{3}[/tex]
Now, we will use the point-slope form given by:
[tex]y-y_1=m(x-x_1)[/tex]
Use either point. I'm going to use (4, -1). So, substitute:
[tex]\displaystyle y-(-1)=-\frac{2}{3}(x-(4))[/tex]
Simplify and distribute:
[tex]\displaystyle y+1=-\frac{2}{3}x+\frac{8}{3}[/tex]
Subtract 1 from both sides. Therefore:
[tex]\displaystyle y=-\frac{2}{3}x+\frac{5}{3}[/tex]
help i hate math pls
Answer:
31.5
cubic inches of sand will fit in the container because 4.5 x 3.5 • 2 = 31.5in.^3
A school carnival sold 90 early-admission tickets and 810 regular tickets. What percentage of the tickets sold were early-admission tickets?
Answer:
11.12 %
Step-by-step explanation:
Given that,
There are 90 early admission tickets.
There are 810 regular tickets.
We need to find the percentage of the tickets sold were early-admission tickets.
[tex]P=\dfrac{90}{810}\times 100\\\\=11.12\%[/tex]
So, the required percentage is 11.12 %.
Please answer quick!
Which segment is the image of Line segment A B reflected across the line y = negative 2?
On a coordinate plane, segment A B goes from (2, negative 7) to (8, negative 3), segment J K goes from (2, 7) to (8, 3), segment G H goes from (2, 3) to (8, negative 1), segment F A goes from (negative 4, negative 3) to (2, negative 7), and C D goes from (negative 8, negative 3) to (negative 2, negative 7).
A.)Line segment A F
B.)Line segment D C
C.)Line segment G H
D.)Line segment J K
Answer:
C on edge 2021
Step-by-step explanation:
Answer: GH
Step-by-step explanation:
You borrow $3,209 from a friend and promise to pay back $4,210.21 in 4 years. What simple interest rate will you pay?
Answer:
7.80%
Step-by-step explanation:
Given data
Amount borrowed=$3,209
Payback amount= $4,210.21
Simple interest= 4,210.21-3,209= 1001.21
time= 4 years
We know that
SI= PRT/100
1001.21= 3,209*R*4/100
cross multiply
1001.21*100= 12836R
100121/ 12836= R
R=7.80
Hence the rate is 7.80%
You spin a spinner that is equally divided into 7 parts. 2 parts white, 2 parts are speckled, and 3 parts are blue.
what are the odds against the spinner stopping at a blue section?
(Answer is a fraction)
Answer:
3/7
Step-by-step explanation:
you are gonna add all the parts together which is seven and because three parts are blue chances are that it might stop at blue three times out of seven
ANSWER ASAP!!!
What are the coordinates of the point in Quadrant
IV on the coordinate plane??
a. (4,1)
b. (1,4)
c. (—4,5)
d. 5, —4)
Answer:
c
Step-by-step explanation:
got it right on edjenuity
Titus and Theresa have collected money and are buying food for a dog shelter. Titus buys 2 bags and 5 cans of dog food, spending $17.50. Theresa buys 6 bags and 2 cans of dog food for $40.80. Let x represent the price of a bag of dog food and y represent the price of a can of dog food. Write a system of equations and use the elimination method to find a reasonable price for a can of dog food.
A)$0.90
B)$1.70
C)$6.30
D)$6.50
Determine the area of the triangle when tana=1 the image is in the picture above
Answer:
The area will be:
[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].
Step-by-step explanation:
Using the definition of tangent, we have:
[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]
We know that tan(α) = 1, then we can find AB
[tex]1=\frac{6}{\vec{AB}}[/tex]
[tex]\bar{AB}=6\: u[/tex]
u means any unit.
Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:
[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]
[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]
[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]
[tex]\bar{BC}=6\sqrt{3} \: u[/tex]
So, the base of the triangle will be:
[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]
The area of a triangle is given by the following equation:
[tex]A=\frac{b*h}{2}[/tex]
b is the base ([tex]b=6(1+\sqrt{3})\: u[/tex])h is the height (h=6 u)[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]
[tex]A=18(1+\sqrt{3})[/tex]
Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].
I hope it helps you!
Please help on these
Answer:
14. (-8, 12) 15. (6, 7)
Exploring Diagonals of a Parallelogram
Answer:
35 degrees
Step-by-step explanation:
due to the correlation of the shuuuush
thats the answer dw
maybe this is what you are looking for
Step-by-step explanation:
Question Progress
112 Mais
Homework Progress
191 19 Mars
Find the term to term rules for the following sequences:
b)
2, 6, 18, 54, 162
Answer: Please see explanation column for answer
Step-by-step explanation:
According to sequence 2, 6, 18, 54, 162
--we can see that it is a geometric sequence since to go from one term to the next requires us to multiply by 3 which is called the common ratio which is gotten by dividing the next by the previous.
ie term 2/ term 1= 6/2 = 3
term 3/ term 2= 18/6= 3
term 4/ term 3= 54/28= 3
term 5 / term 4= 162/54=3
term 6 will therefore be 162 x3 = 486
and term 7 = 486 x 3=1,458 and so on
Recall that nth term of GP is
Tn = ar^n-1
Where a= first term
r= common ratio
n= term
such that to easily find particular term, we plug in the values and calculate
for example the 10th term of the above sequence
Tn = ar^n-1
= 2 X 3 ^(10-1)
2 X 3^9
T10 =39,366
A piece of ribbon is 1 metre in length. Sasha cuts of some of the
ribbon. The ribbon is now 40 cm in length.
What is the percentage change of the ribbon?
Answer:
high jatdog
Step-by-step explanation:
napaka pogi ko ayieeeeWhich expression is equivalent to 364ab7c9?
15 out of 60 markers are blue. What percent of the markers are blue?
How will we solve this problem?
Answer:
Step-by-step explanation:
if 15 out of 60 markers are blue
the percentage is 15/60=1/4
0.25*100=25%
4x2 is the GCF of this polynomial.
20x2y + 56x3 – ?
Which could be the mystery term?
22x3
24x2y
26x2y
28y3
Answer:
B: 24x2y
Step-by-step explanation:
edge
Since 4x² is the GCF of this polynomial, the mystery term could be given by:
24x²y
What is the greatest common factor of a polynomial?It is the multiplication of the GCF of the numeric constants by the GCF of the coefficients.
In this problem, the GCF is of 4x², which means that for the third term:
The numeric value must be a multiple of 4, which leaves the second and the fourth option.The variable must be a multiple of x², which means that 24x²y is the possible mystery term.More can be learned about the greatest common factor at https://brainly.com/question/6032811
Shen invested in a savings bond for 2 years and was paid simple interest at an annual rate of 2% the total interest that he earned was $28 how much did he invest 
Answer:
Principal = $700
Step-by-step explanation:
Simple interest = principal × rate × time
Simple interest = $28
Rate = 2% = 0.02
Time = 2 years
Principal = x
Simple interest = principal × rate × time
28 = x * 0.02 * 2
28 = 0.04x
x = 28/0.04
x = $700
Principal = x = $700
Find the area of the polygon pls
Given:
The figure of a polygon.
To find:
The area of the polygon.
Solution:
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]
Area of trapezoid is
[tex]Area=\dfrac{1}{2}(a+b)h[/tex]
Where, a, b are bases and h is the height.
The area of the triangle with base 6 cm and height 8 cm is
[tex]A_1=\dfrac{1}{2}\times 6\times 8[/tex]
[tex]A_1=24[/tex]
Height of the trapezoid is [tex]13-8=5\ \text{cm}[/tex] and the bases are 6 cm, 12 cm. So, the area of the trapezoid is
[tex]A_2=\dfrac{1}{2}(6+12)(5)[/tex]
[tex]A_2=\dfrac{1}{2}(18)(5)[/tex]
[tex]A_2=(9)(5)[/tex]
[tex]A_2=45[/tex]
Now, the total area of the polygon is
[tex]A=A_1+A_2[/tex]
[tex]A=24+45[/tex]
[tex]A=69[/tex]
Therefore, the area of the polygon is 69 sq. cm.
valor numerico
10x para x= -3
Answer: -30
Step-by-step explanation:
multiplicación simple 10(-3) = -30
Boris rented a truck for one day. There was a base fee of $16.99, and there was an additional charge of 88 cents for each mile driven. Boris had to pay 138.43 when he returned the truck. For how many miles did he drive the truck?
Answer:
$220.02 - $16.99 = $203.03
$203.03 / $.79 = 257 miles
Answer = 257 miles
Step-by-step explanation:
Hope this helps! Have a great day!
2) A pair of socks is purchased for $3.00 it is then sold for $4.00 What is the percent of change that
occurred? Is it a percent increase or decrease?
Answer:
5% change
Step-by-step explanation:
Answer:
33 was the change and it incressed
Step-by-step explanation:
share £26 amongst three people in the ratio 6:3:4
Answer:
3u-> 6
4u->8
6u->12
Step-by-step explanation:
6 + 3 + 4 =13
13u-> 26
1u-> 2
3u-> 6
4u->8
6u->12
Make h the subject
G=5h-2f÷3
Answer:
I think H=5g-2f÷3 ( I'm not sure at all sorry )