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Work Shown:
x = (4+6i)^2
x = (4+6i)(4+6i)
x = y(4+6i) ...... let y = 4+6i
x = 4(y)+6i(y) ..... distribute
x = 4(4+6i)+6i(4+6i) .... plug in y = 4+6i
x = 16+24i+24i+36i^2 ..... distribute again
x = 16+24i+24i+36(-1) .... use the fact that i^2 = -1
x = 16+24i+24i-36
x = 16-36+24i+24i
x = -20+48i
Answer:
A -20+28i
Step-by-step explanation:
juwad picked 30 bags of apples on Monday and sold them at his fruit stand for $3.45 each. The following week he picked and sold 26 bags. Each bag Juwad picked holds 15 apples. How many apples did he pick in two weeks?
The amount of gasoline G sold each month to customers at Bob's Exxon station in downtown Navasota is a random variable. This random variable G can be described as having a normal distribution with mean 2500 gallons and a standard deviation of 250 gallons (and there is no seasonal variation in sales). Exxon will give Bob an all-expense paid trip to College Station, including a free dinner at Burger King, if his station pumps more than 3000 gallons in any one month.
Required:
What is the probability that Bob will win that wonderful trip on the basis of his gasoline sales this month?
Answer:
The probability is [tex]0.0228[/tex]
Step-by-step explanation:
Let's start by defining the random variable [tex]G[/tex] as :
[tex]G:[/tex] '' The amount of gasoline sold each month to customers at Bob's Exxon station in downtown Navasota ''
Therefore, if [tex]X[/tex] is a continuous random variable that has a normal distribution, we write [tex]X[/tex] ~ [tex]N[/tex] ( μ , σ )
Where ''μ'' is the mean and ''σ'' is the standard deviation.
For the random variable [tex]G[/tex] we write :
[tex]G[/tex] ~ [tex]N(2500,250)[/tex]
We need to find [tex]P(G>3000)[/tex]
In order to calculate this, we are going to standardize the variable. This means, finding the equivalent probability in a normal random variable
[tex]Z[/tex] ~ [tex]N(0,1)[/tex]
We perform this because the random variable [tex]Z[/tex] ~ [tex]N(0,1)[/tex] is tabulated in any book or either you can find the table on Internet.
To standardize the variable we need to subtract the mean and then divide by the standard deviation ⇒
[tex]P(G>3000)[/tex] ⇒ P[ (G - μ) / σ > [tex]\frac{3000-2500}{250}[/tex] ] ⇒ [tex]P(Z>2)[/tex]
Because (G - μ) / σ ~ [tex]Z[/tex]
Finally, [tex]P(G>3000)=P(Z>2)[/tex] ⇒ [tex]P(Z>2)=1-P(Z\leq 2)[/tex] = 1 - Φ(2)
Where '' Ф(x) = [tex]P(X\leq x)[/tex] '' represents the cumulative function of [tex]Z[/tex]
Looking for Φ(2) in any table,
[tex]P(G>3000)=P(Z>2)=1-P(Z\leq 2)=1-0.9772=0.0228[/tex] ≅ %2.28
We found out that the probability is [tex]0.0228[/tex]
Aaron scored 452.65 marks out of 600 in the final examination. How many marks did he lose?
Answer:
He lost 147.35 marks
Step-by-step explanation:
Take the total marks and subtract the marks he got to find the marks he lost
600-452.65= 147.35
600-452.65= 147.35
he lost 147.35 marks
If 13 - 3z= 15z +4, z = ?
Answer:
z = 1/2 or 0.5
Step-by-step explanation:
13 - 3z = 15z + 4
+3z +3z
13 = 18z + 4
-4 -4
9 = 18z
z = 9/18
z = 1/2 or 0.5
a bike wheel radius has a radius of 23 inches and a circumference of 144 inches. what is the diameter
Answer:
Diameter is 11.5 inches
Step-by-step explanation:
These two lines are graphs of non-proportional relationships. What makes them non-proportional?
Answer:
These two lines are graphs of non-proportional relationships because
" They do not go through the origin " ⇒ B
Step-by-step explanation:
If two quantities x and y are proportional, then
The relationship between them is represented by the equation y = k xk is the constant of proportionalityThe relationship represents graphically by a line must pass through the origin pointFrom the given graph
∵ The first line intersects the y-axis at point (0, 3)
∴ The line does not pass through the origin
∴ The line is a graph of the non-proportional relationship
∵ The second line intersects the y-axis at point (0, -2)
∴ The line does not pass through the origin
∴ The line is a graph of the non-proportional relationship
These two lines are graphs of non-proportional relationships because
" They do not go through the origin "
Step-by-step explanation:
These Two Graphs Are non proportional because C)They do no go through the graphs
There are 36 carpenters in a crew. On a certain day, 18 were present. What percent of the crew was present?
Answer:
On this day, 1/2, or 50%, of the crew was present.
Step-by-step explanation:
Simplify: 18/36 = 1/2
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer as Brainliest. Have a great day!
5. Which equation is an open sentence?
A 3(x) = 12
B 12 = 4(2) + 3
C 7 +5 = 2
D 6(2) = 12
ay
Answer:
a
Step-by-step explanation:
there is an unknown thingy which is x
A solid cuboid of dimensions 12 cm x 18 cm
x 10 cm is cut into cubes of side 2 cm. How many
such cubes can be cut from the cuboid? Compare
the total surface area of the cube and cuboid
Answer:
270 first question's answer
Step-by-step explanation:
Solution at attachment box
Total surface area of cuboid is = 12x18x2 + 10x12x2 +18x10x2
=432+240+360
=1032
Surface of the 1 cube =2x2x2 = 8
Surface of the all cubes = 8x270 = 2160
GIVING BRAINLIEST TO 1ST CORRECT ANSWER. Leah practices dance for 2One-half hours each week. Her younger sister Sonia practices dance for 0.8 the amount of time Leah practices. How much more time does Leah practice than Sonia? 0.2 hours 0.5 hours 1.7 hours 2.0 hours
Answer:
Sonia practices for 96 mins (1 hour 36mins ) 0.8 = 80%
Step-by-step explanation:
Solution for
X > -2=
Solve
Step-by-step explanation:x>-2=x>-2+2 x=2
[tex]0=24-16t^2[/tex]
Answer:
Step-by-step explanation: Simplify both sides of the equation.
0=−16t2+24
Step 2: Add 16t^2 to both sides.
0+16t2=−16t2+24+16t2
16t2=24
Step 3: Divide both sides by 16.
16t^2/16=24/16
t^2=3/2
Step 4: Take square root.
t=± √ 3/2
t=1.224745,−1.224745
What is the difference between a co-payment and co-insurance?
a. Co-payment refers to two spouses paying for the same coverage, and co-insurance refers to
two spouses receiving the same benefits.
b. A co-payment is a flat fee for each service, and co-insurance is based on a percentage of the
costs incurred.
C. Co-payment is when a group of individuals work to cover each other's medical expenses, and
co-insurance is when an individual has multiple insurance policies from different companies.
d. A co-payment is when an employer helps an employee pay for insurance premiums, and co-
insurance is when an employer helps an employee find better insurance than they could alone.
Answer:
b. A co-payment is a flat fee for each service, and co-insurance is based on a percentage of the costs incurred.
Step-by-step explanation:
A co-payment can be defined as a relatively small fixed amount of money that is required to be paid by a patient (insured) to a service provider such as a health insurer (health maintenance organization-HMO) as medical expenses before receiving any other service. Some examples of co-payment are the payment of $15 for a visiting gynecologist, £5 for prescribed drugs, ¥20 for x-ray etc.
On the other hand, co-insurance can be defined as the amount of money a patient (insured) is required to pay for a claim or covered charge after a deductible have been satisfied and it is typically expressed as a percentage of the costs incurred. It is usually split between the policyholder and the insurer on a 20% to 80% basis.
Hence, the difference between a co-payment and co-insurance is that, co-payment is a flat fee for each service, and co-insurance is based on a percentage of the costs incurred.
Answer:
answer is b :P
Step-by-step explanation:
Helopppppp pleaseeeeeee
Answer:
x=2, x=1/2, x=-2/3
Step-by-step explanation:
First factor and get (x-2)(2x-1)(3x+2)=0
Then you set each of these parentheses individually equal to 0. x-2=0, 2x-1=0, 3x+2=0. Then you just simplify these to get your final answer that I showed above.
Which of the following is part of the solution to the trigonometric inequality sec(2x) <-1 over the interval 0
x= pi/6
x= pi/2
x= 2pi/3
x= 3pi/2
Answer: C
x= 2pi/3
Step-by-step explanation:
The value of x will be x < π / 2. Then the correct option is B.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The trigonometric inequality is given below.
sec(2x) < –1
We know that 1/cos 2x = sec 2x
1/cos 2x < –1
1 < –cos 2x
cos 2x < –1
cos 2x < cos π
2x < π
x < π / 2
Then the correct option is B.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2
What can be concluded from the graph shown here
Answer:
There was no graph attached here, if you can attach the graph then I can help out.
I did some of it already I just need help on the last one unless I got the others wrong
Answer:
17.5 km
Step-by-step explanation:
5 km per hour so for 3 hours it would be 15 then 2.5 km for half an hour gives a total of 17.5 km walked in 3 1/2 hours
Answer:17.5
Step-by-step explanation:
Find the value of 5a2−2a−10 if a=−6
ANSWER FOR BRAINLIEST
Hi there!
[tex]\large\boxed{182}[/tex]
Equation:
5a² - 2a - 10 for a = -6.
Evaluate by plugging in -6 for a:
5(-6)² - 2(-6) - 10 =
5(36) - (-12) - 10 =
180 + 12 - 10 = 182.
A pizza company charges a $5 fee for a 10 inch cheese pizza plus $1.50 for every topping. The equation
c(x) = 1.5x + 5 can be used to determine the cost of a pizza based on the number of toppings (x). Describe what c(4) represents.
Answer:5.1
Step-by-step explanation:
Explain how to find the x-intercept of the function y= log5x+7 log 5 x + 7 .
Answer:
y=\log _(5)x
Step-by-step explanation:
:) answerrr pleasee amigo
Is brainly getting hacked?
Answer:
I think so
Step-by-step explanation:
Raise to the power:
c
(–3y)4
Answer:
3^4 x y^4
Step-by-step explanation:
hujknjk jk jjkjj help
Answer:
x≤ -7 or x≥ -4
Step-by-step explanation:
There is a closed circle at -7 and the line goes to the left
x≤ -7
There is a closed circle at -4 and the line goes to the right
x≥ -4
Since they both can't be true at the same time it is an or
x≤ -7 or x≥ -4
A. It is a function, but it is not one-to-one.
B. It is a many-to-one function.
C. It is not a function
D. It one-to-one function
Answer:
it is a one-to-one function
Step-by-step explanation:
it passes the horizantal line test
Chuck and Blaire decided to share a 10
ounce bag of candy. They ate of the
bag. How many ounces of candy did
they eat?
Pls help me!
Answer:
A. 7 1/6
Step-by-step explanation:
10 3/4 * 2/3=
43/4 * 2/3= 86/12
86/12 = 7 2/12 = 7 1/6
Help ASAP pls What is the y intercept of the linear equation shown on the graph
A. (0,-70)
B. (0,-50)
C. (0,1/2)
D. (0,100)
Answer:
(0, -50)
Step-by-step explanation:
pick any 2 points such as (100,0) and (120,10)
to get from point (100.0) to point (120,10) you had to rise 10 and run 20
so the slope m =rise 10/run20= 1/2
the equation of the line is (y-y1)=m(x-x1)
(y-0)=(1/2)(x-100) for the slope m=1/2 and point on the line (100,0)
y=( x/2)-50 if you distribute
compare this with the equation
y=mx+b wher m=slope and bb is y-intercept
so the y-intercept is -50
Answer:
b
Step-by-step explanation:
trust
In a study of the causes of death, it was found that 52% of all Americans die from heart disease. Find the probability that in a group of 500 randomly selected Americans, at least 275 die from heart disease.
Answer:
55%
Step-by-step explanation:
100/500=0.2
0.2 x 275= 55
55%
Morgan is reading a 326 page book. The table shows three different plans to finish the book. How many days will it take for Morgan to finish her book?
Answer:
The answer is 16.3 but if it is asking for a specific answer it is 17. The answer to part B is in the description below
Step-by-step explanation:
Multiply 20 × 16 to get 320, which is not enough days. So multiply 20 × 17 to get 340, which is enough days.
Hope this was helpful!
place an x in the table to show the precent decrease from the first number to the second number. giving brainliest!!
Answer:
150 to 117 is 25%
340 to 255 is 25%
450 to 351 is 22%
Step-by-step explanation:
Answer:i added a picture, I hope it’s good.
150 - 22% = 117
340 - 25% = 255
450 - 22% = 351