Answer:
[tex](x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16[/tex]
Step-by-step explanation:
Complex numbers identity:
The complex numbers identity is:
[tex]i^2 = -1[/tex]
Square of the sum:
[tex](x + y)^2 = x^2 + 2xy + y^2[/tex]
In this question:
[tex](x + (3+5i))^2[/tex]
[tex]x^2 + 2x(3+5i) + (3+5i)^2[/tex]
[tex]x^2 + 6x + 10xi + 9 + 30i + 25i^2[/tex]
[tex]x^2 + 6x + 9 + (10x+30)i - 25[/tex]
[tex]x^2 + 6x + (10x+30)i - 16[/tex]
So
[tex](x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16[/tex]
Chandra needs to make 3 gallons of punch. How many cups of frozen strawberries are needed? Use the drown-down menus to complete the answer.
The number of cups of frozen strawberries that are needed to make 3 gallons of punch is equal to 48 cups.
How to calculate the cups of frozen strawberries needed?In this exercise, you're required to determine the number of cups of frozen strawberries that are needed to make 3 gallons of punch. Thus, we would apply direct proportion.
Note: There are 16 cups of frozen strawberries in a gallon.
By direct proportion:
16 cups = 1 gallon
X cups = 3 gallons
Cross-multiplying, we have:
X = 16 × 3
X = 48 cups of frozen strawberries.
Read more on direct proportion here: brainly.com/question/1266676
#SPJ1
Help me?!?! Giving out brainliest
Answer:
748h=1,500
Step-by-step explanation:
volume=length x width x height
we know the length and width so
v=34 x 22, which that equals 748
to find the length we need to divide 1,500 and 748.
hope this helps!
$24,000 at 5.5% for 5 years
pick number 1-10 if you get it right ill pay 50 dollas
8.3 is equal to
tenths
hundredths
Answer:
83 Tenths
830 hundreths
Step-by-step explanation:
8.30=8.3 Remove the points and they will give you how many tenths or hundreths
(hope this helps can i plz have brainlist :D hehe)
Answer:
8.3 tenths place is 3
8.3 hundredths place is 0
Why?
Because the first digit right of the decimal point will always be considered the tenths place, the second digit of the right of the decimal point is going to be the hundredths place, in this case it is 0 since there is no value of the hundredths place so you simply consider it 0. The tenths place is given since it is the first digit right of the decimal point, which is 3.
PLEASE HELP ME!!!! MATH!!!!
Answer:
Whats misleading is that it gives decimals for the part that says "thousands of dollars" it it is very vivid
Why i think the company would present this graph is To see their budget and income per month and etc.
_____________________________________________________________-
Because on the 2015 box graph is is 3d shaped also, it doesnt have the name for 0 ~ 400 books and etc
2013: 1000
2014: 2000
1015: 4000
___________________________________________________________________
The impression this graph gives is organized for profits but hard to understand
Tanya is making a blueprint of an Olympic-size swimming pool. The length of the pool is 50 meters, and its width is 25 meters. If Tanya uses a scale factor of 3 inches per 5 meters, what is the perimeter of the pool in the scale drawing?
A.
45 inches
B.
90 inches
C.
100 inches
D.
225 inches
E.
450 inches
Answer:
B. 90 inches
Step-by-step explanation:
Given that
The length is 50 m
And, the width is 25 m
Scale factor is 3 inches per 5 m
We need to find out the perimeter of the pool
So,
5 meter = 3 inches
3 ÷ 5 = x ÷ 50
x = 30 inches = length
Now
3 ÷ 5 = x ÷ 50
x = 15 inches = width
Now the perimeter of the pool is
= 2(l + w)
= 2 (30 + 15)
= 90 inches
A non-profit organization plans to hold a raffle to raise funds for its operations. A total of 1,000 raffle tickets will be sold for $1.00 each. After all the tickets are sold, one ticket will be selected at random and its owner will receive $50.00. The expected value for the net gain for each ticket is -$0.95. What is the meaning of the expected value in this context?
A. The ticket owners lose an average of $0.05 per raffle ticket.
B. The ticket owners lose an average of $0.95 per raffle ticket.
C. Each ticket owner will lose $0.95 per raffle ticket.
D. A ticket owner would have to purchase 19 more tickets for the expected value of his or her net gain to increase to $0.00.
E. A ticket owner has a 95 percent chance of having a ticket that is not selected.
Answer:
The answer is "Option b".
Step-by-step explanation:
In the given question, 1000 ticket were sold for [tex]\$1[/tex] and the owner who receives tickets which are randomly chosen that wins [tex]\$50[/tex].
[tex]Net\ profit = 1000\times 1-1\timesv 50 = \$950\\\\Net \ profit \ for\ ticket = \frac{\$950}{1000} = \$0.95[/tex]
The probability in which each ticket owners win [tex]= 0.001[/tex]
therefore the ticket owner net profit = [tex]= -1+0.001\times 50 = -0.95\\\\[/tex]
The owner of a home cleaning company provides her customers with?
A) Promotion
B) Services
C) Brand Name
D) Places
Answer:
Step-by-step explanation:
services
The box plots show the average gas mileage, in miles per gallon, of the cars sold at a dealership in June and in
December
Gas Mileage of Cars Sold in June
which inference can be made about cars?
a) The type of cars sold in June typically gets better gas mileage
b) The type of cars sold in December typically gets better gas mileage
c) The type of cars sold in the two months typically get about the same gas mileage
d) The types of cars sold in the two months typically get better gas mileage then those sold in other months
please help, thanks!
Answer:C
Step-by-step explanation:
I took the test
Answer:
C
Step-by-step explanation:
The types of cars sold in the two months typically get about the same gas mileage.
1/2, 3/4, 1, …What are the 6th and 7th terms of the sequence?
Answer:
Answer
It can be (1+x)
n
only as (1−x)
n
terms are +ve/−ve alternatively hence can't be in A.P.,
General term, T
rH
=
n
C
r
⋅x
r
⇒T
5
=
n
C
4
⋅x
4
,T
6
=
n
C
5
⋅x
5
,T
7
=
n
C
6
⋅x
6
Coefficients are in A.P.
⇒2
n
C
5
=
n
C
4
+
n
C
6
⇒
5!(n−5)!
2n!
=
4!(n−4)!
n!
+
6!(n−6)!
n!
⇒
5(n−5)
2
=
(n−4)(n−5)
1
+
6×5
1
⇒2(n−4)=5+
6
1
(n−4)(n−5)
⇒12(n−4)=30+n
2
−9n+20
12n−48=n
2
−9n+50
⇒n
n
−21n+98=0
⇒n
2
−14n−7n+98=0
⇒n(n−14)−7(n−14)=0
⇒(n−7)(n−14)=0
n=7 or n=14.
Based on the figure below, what is the value of x? (5x + 15) 30° 3 09 O 12 15
Answer:
is this from FLVS?
Step-by-step explanation:
Given AJKL: AXYZ, find x.
Answer:
6 = 9
8 x
we cross multiply 6× x = 6x 9×8 = 72
6x = 72
6 6
x = 12
Jensen has a basket containing oranges apples and pears he picks a piece of fruit from the basket 40 times, replacing the food before each draw from these 40 trials Jensen estimates that the probability of picking an orange is 0.25 the probability of picking an apple is 0.3 and the probability of picking a pair is 0.45 how many times did Jensen pick an apple doing the £.40 trials
Answer:
[tex] \huge\fbox\purple{12}\ [/tex]
[tex] \small\mathfrak\pink{s} \small\mathfrak\purple{o} \small\mathfrak\blue{l} \small\mathfrak\red{u}\small\mathfrak\green{t} \small\mathfrak\orange{i}\small\mathfrak\blue{o} \small\mathfrak\red{n(⌐■-■)/━☆ﾟ.*･｡ﾟ} [/tex]
In this question, we're trying to find how many apples Jenson picked from the basket.
Lets gather information that can help us.
Important information:
• Picked a fruit from a basket 40 times Probability of picking an apple is 0.3
With the information above, we can solve the question.
We know that he picked up a fruit 40 times, but we need to find how many apples he picked up during the 40 times.
The probability of picking an apple is 0.3, which is equivalent to 30%
This means that 30% of the 40 times he picked an apple.
We would multiply 40 by 0.3 to get our answer.
40* 0.3 =12This means that Jenson picked 12 apples.
________☁️☁️
Hope it helps
~✨ƒöᏝϗʆѻʁᶥąռ¹₃
Please help me with this question
Answer:
It is 65 cm
Step-by-step explanation:
Alright, within the image, the triangles ABC and TUV are congruent. With this, the following is true: AB ≅ TU, BC ≅ UV, and CA ≅ VT because the order and their sides between the two triangles is shared.
With this, BC is ≅ to UV. Now, just set the two equations equal to each other:
9x+2=8x+9
9x=8x+7
x=7
Now, we've got x, though it needs to be plugged back into side BC for the final answer
9(7)+2
63+2
65 cm
HELP
When x=7
7+7(x-3)²
Answer:
it should be 119
Step-by-step explanation:
(7-3) = 4
4^2 = 16
16 x 7 = 112
112 + 7 = 119
Answer: 119
[tex]7+7(x-3)^{2}[/tex]
[tex]7+7(7-3)^{2}[/tex]
[tex]7+7(4)^{2}[/tex]
[tex]7+7(16)[/tex]
[tex]7+112[/tex]
=119
Please answer this question correctly
BEEN ASKING FOR AN HOUR!! A trapezoid's area can be calculated by the formula A = 2 (61 + b2)h, where A stands for area, bį for the first base's length, b2 for the second base's length, and h for height. Find the area of the trapezoid below. 6 m 9 m 14 m eps pdf png svg tex 28. A trapezoid's area can be calculated by the formula A = {(61 + b2)h, where A stands for area, by for the first base's length, ba for the second
Answer:
The area is: [tex]69m^2[/tex]
Step-by-step explanation:
Given
[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]
[tex]b_1 = 9m[/tex]
[tex]b_2 = 14m[/tex]
[tex]h =6m[/tex]
Required
The area
We have:
[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]
This gives:
[tex]A = \frac{1}{2}* (9m + 14m) * 6m[/tex]
[tex]A = \frac{1}{2}* 23m * 6m[/tex]
[tex]A = 69m^2[/tex]
Suppose that a password consists of 2 letters followed by 4 digits, where there are 26 letters and 10 digits to choose from. How many different passwords are possible?
Answer:
68250
Step-by-step explanation:
Number of ways in which 2 letters can be selected out of 26 letters = 26 c 2 = 26 ! / ( 2! x 24! ) = 325
Number of ways in which 4 digits can be selected out of 10 digits = 10 c 4 = 10 ! / ( 4! x 6! ) = 210
So , total number of ways in which password containing 2 letters & 4 digits can be made = 325 x 210 = 68250
In a glass the ratio of water
to juice is 11:2
What fraction of the drink
is juice?
Answer:
The fraction of the drink that is juice is [tex]\frac{2}{13}[/tex]
Step-by-step explanation:
Since the ratio of the water to juice is 11:2, that means the ratio of juice to the total amount of liquid in the glass would be [tex]\frac{2}{11+2}[/tex] or [tex]\frac{2}{13}[/tex].
The fraction of the drink that is juice is [tex]\( \frac{2}{13} \)[/tex].
The ratio of water to juice in the glass is 11:2. This means that for every 11 parts of water, there are 2 parts of juice in the drink.
To find the fraction of the drink that is juice, we need to add the number of parts of juice and water together. In this case, we have 11 parts of water and 2 parts of juice, making a total of [tex]\(11 + 2 = 13\)[/tex] parts.
Now, to find the fraction of juice in the drink, we divide the number of parts of juice by the total number of parts in the drink. So, we have:
[tex]\( \text{Fraction of juice} = \frac{\text{Number of parts of juice}}{\text{Total number of parts}} = \frac{2}{13} \).[/tex]
Thus, [tex]\( \frac{2}{13} \)[/tex] of the drink is juice.
In summary, to find the fraction of juice in the drink, we first add the number of parts of juice and water together to get the total parts in the drink.
Then, we divide the number of parts of juice by the total parts to find the fraction of juice. In this case, the fraction of juice in the drink is [tex]\( \frac{2}{13} \).[/tex]
To know more about Fraction here
https://brainly.com/question/15566576
#SPJ2
Plz help me
Use the discriminant to determine The number of solutions to the quadratic equation -x^2+10x-2=0
Answer:
x=-5
Step-by-step explanation:
i just solved the problem
Answer:
=5±√23
Step-by-step explanation:
-10+2√23
= -------------
-2
-10-2 √23
= -------------
-2
Bag contains 2 red marbles 2Green marbles and 4 blue marbles if we choose a marble than other marble without putting the first one back in the bag what is the probability that the first marvel will be red and the second will be green
Answer:
The probability that the first marvel will be red and the second will be green is 7.14%.
Step-by-step explanation:
Since a bag contains 2 red marbles, 2 green marbles and 4 blue marbles, if we choose a marble and then other marble without putting the first one back in the bag, to determine what is the probability that the first marvel will be red and the second will be green, the following calculation must be performed:
2 + 2 + 4 = 8
2/8 x 2/7 = X
0.25 x 0.2857 = X
0.0714 = X
Therefore, the probability that the first marvel will be red and the second will be green is 7.14%.
What are fees paid to the lender before it releases a check for the home
purchase called?
A. Nonrecurring fees
B. Home fees
C. Recurring fees
D. Closing costs
SUBMIT
An orange juice manufacturer advertises a new orange juice product that contains 50% less sugar. This new product is expected to increase profits substantially because they create the 50% less sugar product by replacing 50% of the juice with water while selling it for the same price. An inspector wants to investigate whether the actual percentage of water in the product is within 5% of the intended 50%.
He selects a random sample of 500 containers of orange juice and determined the percentage of each that is water. He plans to conduct a significance test at the a = 0.01 level to see if there is convincing evidence that the proportion of water added is different from 0.50. What is the probability that the inspector makes a Type I error?
(A) 0.01
(B) 0.05
(C) 0.10
(D) 0.45
(E) 0.50
Answer: A. 0.01
Step-by-step explanation:
Type I error are refered to as false positives and it means that when a statistically significant difference is validated by the researcher even though the results aren't statistically significant.
Type I error is when one rejects the null hypothesis even though it's actually true. In this case, the inspector rejects the hypothesis which was that the proportion of water that is contained the product is 0.5.
The probability of type 1 error will then be equal to the hypothesis level of significance and this will be 0.01.
each saturday, tina mows lawns to earn extra money which she puts into a savings account. the graph shows the balance of tina’s savings accounts over the first six weeks of mowing lawns. according to this pattern, how much will tina have in her account after 15 weeks of mowing lawns?
Answer:
$255
Step-by-step explanation:
First, we need to generate an equation in slope-intercept form, y = mx + b, that represents the graph. To do this, we need to find b = initial value (y-intercept) and m = slope (money she puts in her account each week).
x = number of weeks
y = balance ($)
✔️Slope (m) = change in y/change in x
Using two points on the line, (1, 45) and (2, 60),
Slope (m) = (60 - 45)/(2 - 1) = 15/1
m = 15
✔️To find b, substitute (x, y) = (1, 45) and m = 15 into y = mx + b.
45 = 15(1) + b
45 = 15 + b
45 - 15 = b
30 = b
b = 30.
✔️To write the equation, substitute m = 15 and b = 30 into y = mx + b
y = 15x + 30
✔️To determine how much Tina will have in her account (y) after 15 weeks (x) of mowing, substitute x = 15 into y = 15x + 30:
y = 15(15) + 30
y = 225 + 30
y = 2
Therefore, Tina will have $255 in her accounts after 15 weeks of mowing lawns.
find the value of x. round to the nearest tenth.
Answer:
x = 17.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 51 = x /28
28 cos 51= x
x=17.62097
To the nearest tenth
x = 17.6
Given the following formula, solve for l.
Answer: Option C
l = (P - 2b)/2
Step-by-step explanation:
From P = 2(l + b)
Divide both sides by 2;
P/2 = 2(l + b)/2
P/2 = l + b
l + b = P/2
Make l the subject of formula;
l = (P/2) - b
l = (P - 2b)/2
Which negative angle is equivalent to an 85° angle?
A. An angle measuring -95°
B. An angle measuring -275°
C. An angle measuring -85°
D. An angle measuring -265°
Which negative angle is equivalent to an 85° angle?
A. An angle measuring -95°
B. An angle measuring -275°
C. An angle measuring -85°D. An angle measuring -265°
-KeonLee
I hope it help
#Carry on learning
An angle measuring -275°
*view photo*
please help me
Find YZ
Answer:
blah
Step-by-step explanation:
blah
What inequality is represented by this graph?
1 2 3
s 8 i å
6 7 8 9
X36
X
x28
Answer:
[tex]x < 6[/tex]
Step-by-step explanation:
Given
The attached plot
Required
The inequality
The arrow points starts at 6 and points left.
This means that:
[tex]x < 6[/tex] or [tex]x \le 6[/tex]
The open circle on 6 implies that the inequality is either [tex]<[/tex] or [tex]>[/tex]
Hence, [tex]x \le 6[/tex] is invalid
So, the inequality is: [tex]x < 6[/tex]