Answer:
3279
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 2 and r = a₂ ÷ a₁ = 9 ÷ 3 = 3 , then
S₇ = [tex]\frac{3(3^7-1)}{3-1}[/tex] = [tex]\frac{3(2187-1)}{2}[/tex] = 1.5 × 2186 = 3279
if r*s= sr then 3*2=
Using the comparison given in the question, the value of 3*2 = 23
From the question given :
We can set up a comparison thus :
r*s = srHere,
3*2
r = 3 ; s = 2 r = first value in the expression s = second value in the expressionr*s = sr
Then
3*2 = 23
Therefore, the value of 3*2 = 23
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100 POINT!!!!! NEED HELP ASAP
Show that (a + bi)^2 = (a + b)(a − b) + 2abi
Answer:
Step-by-step explanation:
(a + bi)^2 = (a + b)(a − b) + 2abi
= a² + (bi)² + 2 * a * bi
= a² + b²i² + 2abi
= as i² = -1
= a² - b² + 2abi
= (a + b) (a - b) + 2abi
Answer: This is what I turned in and it was right :)
Step-by-step explanation:
(a + bi)^2 = (a + b)(a − b) + 2abi
= a² + (bi)² + 2 * a * bi
= a² + b²i² + 2abi
= as i² = -1
= a² - b² + 2abi
= (a + b) (a - b) + 2abi
Thirty-six of 80 marbles are blue. What percent of the marbles are blue?
Answer:
45%
Step-by-step explanation:
The fraction of marbles that are blue is 36/80 = 9/20. To make that a percentage, multiply it by 100%.
9/20 × 100% = 45%
45% of the 80 marbles are blue.
Which function has the greater maximum value: f(x) = -3x + 6x+4, or g(x),
the function in the graph?
у
5
g(x)
х
O A. The functions have the same maximum value.
B. g(x)
O C. f(x)
PLEASE HELP!! I’LL MAKE YOU BRAINIEST!
Answer:
1. Markup: $2.70, Retail: $20.70
2. Markup: $9.45, Retail: $31.95
3. Markup: $25.31, Retail: $59.00
4. Markup: $24.75, Retail: $99.74
5. Markup: $48.60, Retail: $97.20
6. Markup: $231.25, Retail: $416.25
Step-by-step explanation:
To get the markup price of an item, multiply it by the markup percentage as a decimal. To get the decimal of a percentage, divide the number by 100. For example, 15% would be 0.15. And then to find how much the item has been marked up by, multiply the current price by the decimal.
$18 * 0.15 = $2.70
So $2.70 is the markup. To find the retail price, you need to add the markup price to the current price given.
$18 + $2.70 = $20.70
So your retail price is $20.70. Repeat these steps for each question to get the answers above.
Hope this helps.
what is 10 3/12 simplified??
Answer:
10 1/4
Step-by-step explanation:
Plss Help Due Tomorrow Give Brainliset
Answer:
1=137 2=43 3=137 4=43 5=137 6=43
Step-by-step explanation:
Prompt: It's 5:30 AM, and as a helicopter pilot you've just been told there's an injured man on a boat you need to get to a hospital . The boat is going towards where you are a at 10 mph, but is currently 400 miles away. You need to get him as soon as possible, but you only have 6600 lbs of fuel in your helicopter, which burns 1200 lbs per hour and always travels at 150 mph. Also, you need to account for 30 min of fuel spent hovering over the boat to get the man into the helicopter and 1 extra hour of fuel due to helicopter standards. Therefore, when can you depart your station to get the man as soon as possible?
Answer:
leave at 1:30 PM
Step-by-step explanation:
10 mph 40 hours 6600/1200 5.5 hr 40/15 2 hr 40 mins 5.5 -.5 =
After two hours there at the meeting place, the helicopter must depart at 1:30 pm to join the boat.
What is Speed ?Speed is the rate an object travels in a predetermined period of time.
Its speed is expressed in km/h.
As per the given information in the question,
If the boat goes to the station ,
Speed of the boat = 10mph
it will take 400/10 = 40 hours.
The helicopter has, 6600 lbs of fuel.
It will take 30 minutes to clean the fisherman and an additional hour to get enough fuel.
1.5 × 1200 = 1800 lbs of fuel.
So, the amount of fuel helicopter now has
6600 - 1800
= 4800 lbs of fuel.
This will allow it to fly for 4 hours as:
4800 lbs/1200 lbs per hour, It can only travel at 150 mph for two hours one way.
= 300 miles distance from the station.
The boat is available at 400 miles, and its maximum flight time at 150 mph is two hours going one way, which is 100 miles from where it is now,
So,
100/10 = 10 hours, the journey to the meeting location will take the boat ten hours.
To reach the boat, which will require 10 hours, the chopper must take off after 8 hours since it will take 2 hours.
So 8 hours of time from 5:30 am will be equal to 1:30 pm.
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#SPJ2
Your question seems incomplete, probably the complete question is:
A crewman on a fishing boat was injured and needs to be treated in a hospital right away. You are with a Coast Guard station nearest to the boat, but you are 400 miles away. The boat travels at a rate of 10 mph. It is 5:30 A.M. You have a helicopter that can hold 6600 lbs. of fuel, consumes 1200 pounds of fuel an hour, and travels 150 mph. However, you need to save a minimum of 1 hour worth of fuel for landing problems at the Coast Guard station, and you need to have 30 minutes’ worth of fuel to remove the crewman from the boat. You have to create a plan for extracting the crew member. When would you leave and why? Fully explain your answer.
PLEASE HELPPPPP
Use the information to answer questions 14 – 17.
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.
Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.
A.
(2.5, 15)
B.
(5, 20)
C.
(7.5, 12.5)
D.
(17.5, 5)
E.
(19, 1)
Answer:
x ≤ 13 2/5 and y ≥ 6 2/3
Step-by-step explanation:
system of equations would be:
x + y ≤ 20
5x + 8y ≥ 120
if you solve this system you get the answer above
Three out of 8 skittles are are green. Which percent represents the fraction of green skittles in total?
Answer:
well like this 3/8
Step-by-step explanation:
3/8 and rest is 5/8 in fraction form
Zoila bought a rectangular rug. The rug is 8 feet long by 5 feet wide. What is the area of the rug?
Answer:
Zoila bought a rectangular rug. The rug is 8 feet long by 5 feet wide. What is the area of the rug?
Final Answer: The area of the rug is 1.6[tex]ft^{2}[/tex] .
Step-by-step explanation:
What is Ask? - What is the area of the rug?
Given - 8 feet long by 5 feet wide
Operation - Divide
Solution:
You can use Partial quotient or Algorithm or Box method dividing any number.
5 ÷ 8 = 1.3
But why 1.6?
Because it is the decimal form of it and it is an improper fraction.
[tex]\frac{8}{5}[/tex] OR 1.6 OR [tex]1\frac{3}{5}[/tex]Final Answer: 1.6 [tex]ft^{2}[/tex] is the area of the rug.
Hope it helps
#LetStudy
A quality-control inspector examined 260 calculators and found 11 of them to be defective. At this rate, how many defective calculators will be in a batch of 5,200 calculators?
Answer:I got 220
Step-by-step explanation:
5200/260=20
20*11=220
find the highest common factor of 9, 12 and 15
Hello there! :)
The highest common factor of 9, 12, and 15 is 3.
To find the HCF (also called the GCF) of two or more numbers, we list their factors:
9: 1, 3, 9
12: 1, 2, 3, 4, 6, 12
15: 1, 3, 5, 15
Can you see that 3 is their GCF?
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Solve with Indirect proof logic
1. A ) C
2. ~[~D•C]
3. E v A
4. ~ D /:. E
Answer:
i dont know
Step-by-step explanation:
wHICH ONE IS BETTER!!!!!!!!??????????????
I need help on this please
Answer:
y = 12
x = 4.4
Step-by-step explanation:
Scale factor is calculated by comparing the opposing side lengths and writing them as a fraction:
8/20 = 2/5 is the scale factor now to find the value of x and y we can use this scale
y/30 = 2/5 cross multiply expressions
5y = 60 divide both sides by 5
y = 12
same goes for x:
x/11 = 2/5 cross multiply
5x = 22 divide both sides by 5
x = 4.4
find the square root of 121.
Answer:
The answer is 11 your welcome
Answer:
11
Step-by-step explanation:
Hi! I'm 12 years old trying to move up in maths, does anyone have any tips about any one of these topics?
- Bearings
- Number scales
-Ratios
-Proportionally calculating quantities to recipes (??)
-Averages
-Times tables in general
Thank you so much if you decide to answer this!! Im trying to become a barrister when im older:)
Answer:
For number remember that the negative number are smaller, but if it question like this which one is bigger -5 or -6 will -5 will be the answer because it is not smaller than -6. For ratios just remember divide or number of something like there are 3 to 8 child in the classroom then thee ratios would be 3:8. Lastly for the times tables learn all of your times tables like your favorite game, so things will be easier on you.
Nga's car insurance premium increased by $60, which was 8% of the original cost. What was the original cost of premium?
Answer:
$750
Step-by-step explanation:
If p represents the original cost, the relationship expressed in the problem statement is ...
60 = 0.08p
Dividing by 0.08, we find ...
p = 60/0.08 = 750
The original cost of the premium was $750.
y=-2/5x-3
plzz help help meeeeeeeee
Plot the vertex at (0,-3), then go down 2 units and right units to plot a point at (5,-5). Then you can draw your line through the 2 points.
Find an equation of the line parallel to y=2x+1 and that passes through the point (5,1)
Answer:
y = 2x - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 1 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes , then
y = 2x + c ← is the partial equation
To find c substitute (5, 1 ) into the partial equation
1 = 10 + c ⇒ c = 1 - 10 = - 9
y = 2x - 9 ← equation of parallel line
What the least common denominator for 11/12 5/6 and 1/5
Answer:
60
Step-by-step explanation:
Answer:
[tex]LCD[/tex] [tex]is[/tex] [tex]60[/tex]
Step-by-step explanation:
We look for the [tex]LCM[/tex] between these 3 number
[tex]12: 12,24,36,48,60\\6:6,12,18,24,30,36,42,48,54,60\\5:5,10,15,20,25,30,35,40,45,50,55,60[/tex]
Our [tex]LCM[/tex] is 60
that means our [tex]LCD[/tex] is [tex]60[/tex]
Brainliest please
Julissa is printing out copies for a work training. It takes 4 minutes to print a color copy, and it takes 2 minutes to print a grayscale copy. She needs to print no fewer than 8 copies within 25 minutes.
Which system of inequalities represents the number of color copies, x, and grayscale copies, y, that Julissa can print to meet her goal?
Answer:
4x + 2y ≤ 25 , x + y ≥ 8 is the required system of inequalities to represent the given situation.
Step-by-step explanation:
Here, let the number of color copies = x
Now, the time taken to print each color copy = 4 minutes
⇒Time taken to print x color copies = x times ( Time taken by each copy)
= 4 (x) = 4x
and let the number gray scale copies = y
The time taken to print each gray scale copy = 2 minutes
⇒Time taken to print y gray scale copy = y times (Time taken by each copy)
= 2 (y) = 2y
Total copies printed = x + y
Maximum time taken to print x color copies and y grayscale copies
= 4x + 2y
So, according to the question:
4x + 2y ≤ 25 ( as maximum allotted time is 25 minutes)
and x + y ≥ 8 (as minimum number of copies is 8)
hence, the above system is the required system of inequalities to represent the given situation.
I hope this helps.
I don’t understand this someone please help
Answer: table 1 is 35 and table 2 is 1.301
Step-by-step explanation:
please help please pleas
Answer:
8,8,6
Step-by-step explanation:
Since AB = BC, 4y = 3y+2
solving, y = 2
then we plug it back into the equations and get the answers
Answer:
Step-by-step explanation:
Givens
AB = BC
AB = 4y
BC = 3y + 2
AC = 3y
Solution
AB = BC
4y = 3y + 2 Subtract 3y from both sides
4y -3y = 3y-3y + 2 Combine
y = 2
AB = 4y = 4*2 = 8
BC = 3y + 2 = 3*2 + 2 = 6+2 = 8
AC = 3y = 3*2 = 6
Use these values to solve this problem.
a = 1, b = -8
-3ab
Answer:
24
Step-by-step explanation:
-3(1(-8))
1x(-8) = -8
-3 x -8 =24
Determine the value of d when h=29 in the equation D=4h/5
Answer: 23.2
Step-by-step explanation:
D = 4h/5
D(29) = 4(29)/5
D(29) = 23.2
[tex]\Large\mathtt\color{red}{H}\color{orange}{E}\color{yellow}{L}\color{lime}{P}\color{green}{M}\color{cyan}{E}\color{aquamarine}{!}[/tex]
[tex]\Large\mathtt\color{cyan}{╭──━━━═══════━━━──╮}[/tex]
5400 ÷ 300000
[tex]\Large\mathtt\color{cyan}{╰──━━━═══════━━━──╯}[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{WITH}}}}[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{SOLUTION}}}}[/tex]
[tex]\tt\colorbox{blue}{\boxed{\colorbox{red}{ \color{pink}{ \rm{ NONSENSE = REPORT }}}}}[/tex]
Answer:
[tex]5400 \div 300000 \\ \\ = 0.018[/tex]
3. Stacy went to a pet store to buy bridles for her horse farm. She is buying the bridles for 27 horses. Each bridal is $184. How many dollars will all of the bridles cost her?
Answer:
the answer is $4968
Step-by-step explanation:
$184 x 27= 4968
Answer:
you would do this 27 x 184 = and get the answer which is $4968.
Step-by-step explanation:
hope it helps.
Solve for x I need help on this question
Answer:
[tex]x\approx7.8[/tex]
Step-by-step explanation:
In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
[tex]sin(23^\circ)=\frac{x}{20}[/tex]
[tex]20sin(23^\circ)=x[/tex]
[tex]x=20sin(23^\circ)[/tex]
[tex]x\approx7.8[/tex]
Therefore, the length of the opposite side is about 7.8 units