Step-by-step explanation:
relax ! don't panic. just breathe deeply and then focus again.
a geometric sequence means that every new term is created by multiplying the previous term by a constant factor.
this factor is given here as 3/2.
this is called common ratio, because of that building rule the ratio of 2 consecutive terms is
an/an-1 = factor = 3/2
the first term is 3.
so,
a1 = 3
a2 = a1×3/2 = 3×3/2 = 9/2
a3 = a2×3/2 = a1×3/2 × 3/2 = 3× 3/2 × 3/2 = 27/4
we see
an = an-1 × 3/2 = a1 × (3/2)^(n-1) = 3 × (3/2)^(n-1)
and therefore
a8 = 3 × (3/2)⁷ = 3× 2187/128 = 6561/128 = 51.2578125
1. Find the slope of the line that passes through
the points (6, 13) and (-3, 7).
Answer:
hope this helps :)
what is 10/13 as a decimal rounded to the nearest hundredth
Answer:
.770
Step-by-step explanation:
Marian is making accessories for the soccer team. She uses 666.12 inches of fabric on headbands for 36 players and 3 coaches. She also uses 310.68 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
I need help with this
Answer:
answe is about 23. something
Step-by-step explanation:
solve simultaneously for x and y if: x(x-3)+y(3-x)= 0
75 is 15% of what number
75 is 15% of 500!! If you get it wrong IM SO SORRY!!
Answer: 113.3333 (repeating 3’s)
Step-by-step explanation:
17 = 15%
divide 15 and 17 by 3 to get 5% and then multiply by 2 to get 10%
11.33 = 10%
multiply 10 and 11.33 by 10 to get 100%
113.33 = 100%
a ring is now reduced to £840
this is saving 40% of the original price
work out the original price of the ring
Answer:
The original price of the ring is 1400 pounds. So, 100 pounds is equivalent to= (840/60)* 100 = 1400 pounds.
Answer:
1400 pounds
Step-by-step explanation:
the ring is now worth 60% of its original price
the percentage in decimal is equal: 60% = 0.6
[tex]\frac{840}{0.6} =1400[/tex]
Hope this helps
two ferries start moving toward each other from opposite riverbanks, a and b. when they pass each other for the first time, the distance to riverbank b is 100 meters. each ferry starts its return trip as soon as it reaches its destination. when the ferries meet for the second time, the distance to riverbank A is 50 meters. what is the distance between riverbanks a and b? Help I will give 40 points
Let 'x' be the distance from THE far bank where 700 is the distance to the NEAR bank
boat one has travelled 700 (rate = 700/unit time) boat two has travelled x rate = x / unit time
boat one then travels x + 400 more and boat two travels 700 + (700+x -400) more when they meet
The time is the same rate x time = distance distance/rate = time equate the distances divided by the respective rates
(700 + x + 400)/700 = ( x + 700 + (700+x-400) )/x
1100x + x^2 = 1400x + 700000
x^2-300x -700000 = 0 quadratic formula yields x = 1000
One boat travels 700 the other 1000 whe they first meet.....width of river = 700+ 1000 = 1700 m
Miko wants to build a toy
box for her sister. It is to be 2 feet high,
and the width is to be 3 feet less than its
length. If it needs to hold a volume of
80 cubic feet, find the length and width
of the box.
Answer:
kk
Step-by-step explanation:
Model with Two-Step Inequalities: Quiz! (ONLY 4 QUESTIONS PLS DONT PUT LINK :< )
Q1. A hot-air balloon is 1000 feet off the ground and its altitude is slowly changing at a constant rate of −412 feet per second.
How many seconds, s, will it take for the balloon to drop to below 215 feet?
Drag and drop a symbol and value to correctly complete the solution to this inequality.
--------------------------------------------------------------------------------------------------------------------
QUESTION 2. For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement.
The liquid can stay in the cooler _______ minutes.
Choose..."At most 10.1", "More then 10.1", "At least 10.1" or "Fewer than 10.1"
----------------------------------------------------------------------------------------------------------------------
QUESTION 3. A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer to complete the inequality.
p__
-----------------------------------------------------------------------------------------------------------
Q4. Robbie is going shopping. He has no more than $65.00 to spend. He wants to buy a pair of shoes for $21.95 and some shirts that cost $10.50 each.
Which inequality can Robbie use to determine how many shirts, s, he can buy?
_-------------------------------------------------------------------------------------------------------------------_
YAY YOU MADE IT! Thanks if you actually answered correctly...you really made my day! :)) Sending virtual hugs your way! And here is 50 points for completing my quiz you smart and mighty warrior! <3 <3 <3 Bye!
Answer:
For an experiment, the temperature of a liquid must stay above 60.4°F. The starting temperature of the liquid is 90.7°F. It is placed in a cooler, which lowers its temperature 3°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement.
The liquid can stay in the cooler fewer than 10.1 minutes.
Step-by-step explanation:
Foster is centering a photo that is 9 1/2 inches wide on a scrapbook page that is 10 inches wide. How far from each side of the page should he put the picture? Enter your answer as a mixed number. / pls help quick
Answer:
should be 1/4 inches away from each side
Step-by-step explanation:
all I did was take the 10 inches,subtract 9.5 from that to get 1/2 left.
since it needs to be centered, divide that by two for each side.
and 1/2 ÷ 2 = 1/4
so I got 1/4 inches on each side.
When an object moves in a circle the __________ of the object is continually changing. What is the missing word in this sentence?
Answer:
velocity
Step-by-step explanation:
The velocity of the object is continually changing. This velocity is the slope of the tangent line to the curve at a given point on the curve.
The corrected sentence is: When an object moves in a circle, the velocity of the object is continually changing.
What is a circular motionCircular motion involves not only changes in the object's orientation or direction but also changes in its velocity.
Velocity includes both the speed of the object's movement and its direction. As an object moves around a circle, even if it maintains a constant speed, its velocity is changing because the direction in which it is moving is always changing.
This change in velocity is what allows the object to maintain its circular path rather than moving in a straight line.
Learn more about Velocity
https://brainly.com/question/25905661
#SPJ3
-2x+9y=-41
-2x-5y=1
Process of elimination
-2x+9y=41.... equation 1
-2x-5y=1 ....equation 2
________________
14y=43
y=43/14
y=43/14 in equation 1
-2x+9(43/14)=41
-2x+387/14=41
-2x=41-387/14
-2x=187/14
x=187/-28
x=187/28 , y=43/14
if you want to check your answer
-2(187/28)+9(43/14)=41
what is the mass of 18 crayons
Answer:144 grams
Step-by-step explanation:normal crayons usually weigh 9g
4) Which orde
inequality
3) Which ordered pair is a solution to the linear
inequality below?
2x – 3y < 9
A. (6,-4)
B. (-1,-9)
C. (2,-5)
D. (-3,-3)
Answer:
D)
Step-by-step explanation:
A is incorrect because: 2(6) -3(-4)<9 which is 24<9 which is not true
B is incorrect because: 2(-1) -3(-9)<9 which is 25<9 which is not true
C is incorrect because: 2(2) -3(-5)<9 which is 19<9 which is not true
D is correct because: 2(-3) -3(-3)<9 which is 3<9 which is true
If 24 people fit in 12 RVs,
How many people are in each RV?
Answer:
2 people per RV.
Step-by-step explanation:
24 / 12 = 2
The emotional atmoshere a reader sences in a poem or story is referred toas its
Work out the shaded area of this shape.
Answer:
73
Step-by-step explanation:
3w-4z=8
2w+3z= -6
What is w and z for these two equations?
Pls answer all 4 questions AND HURRY!!!!
Answer:
5pts
Step-by-step explanation:
Evaluate (x +40) -- 23 when 2 = = 8.
8
O A. 5
B. 48
C. 6
D. 8
Pls help
Answer:
C
Step-by-step explanation:
x=8
(8+40)= 48
2³=2×2×2=8
48:8=6
What is the z-score with a confidence level of 95% when finding the margin of error for the mean of a normally distributed population from a sample? 0. 99 1. 65 1. 96 2. 58.
To specify the accuracy of the mean found for a statistical sample, the amount of error is specified by the margin of error, MOE
The z-score with a confidence level of 95% is 1.96Reasons:
The margin of error, MOE, is required when finding a sample mean of a
statistic, which specifies the range within which the true mean is located;
The margin of error is given by the formula;
[tex]\displaystyle MOE = \mathbf{z^* \times \frac{\sigma }{\sqrt{n} }}[/tex]
Where:
σ = The standard deviation of the population
n = The sample size
[tex]z^*[/tex] = The z-value based on the applied confidence level.
Using the associated standard normal distribution table, by finding the
area between the z-score and the negative z-score, we have that 95% will
be given by the area between 1.96 and -1.96, which gives, 0.975 - 0.025 = 0.95 = 95%
Therefore;
The z-score at 95% = 1.96
Learn more about z-score here:
https://brainly.com/question/6096474
Find the slope of the line shown below.
Hello! :)
The slope of this line is 0.
Remember, to find the slope, we divide the rise by the run. The rise is how many units we move up; the run is how many units we move right or left.
Here, we move 0 units up, so the rise is 0.
No matter what the run is, the slope is 0 anyway.
Hope it helps you!
If you have any questions, feel free to ask! (:
~An excited gal
[tex]SparklingFlower :)[/tex]
Answer:
its 0 sowe
Step-by-step explanation:
[tex]\sf 4x-15=3[/tex]
[tex]\sf \longmapsto4x-15=3[/tex]
[tex]\sf \longmapsto4x = 3 + 15[/tex]
[tex]\sf \longmapsto4x = 18[/tex]
[tex]\sf \longmapsto{x }= \frac{18}{4}[/tex]
[tex]\sf \longmapsto x = 4.5[/tex]
Answer:
[tex]x=\cfrac{9}{2}\;\; or \;\;4.5[/tex]
Step-by-step explanation:
[tex]4x-15=3[/tex]
[tex]4x-15+15=3+15[/tex] Add 15
[tex]4x=18[/tex]
[tex]\cfrac{4x}{4}=\cfrac{18}{4}[/tex] Divide by 4
[tex]x=\cfrac{9}{2}[/tex]
Kylie borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Kylie paid for the book when she returned it x days after the due date:
2 + 0.25x
What does the constant term of the expression represent? (1 point)
The late fee for the book
The fixed rental for the book
The number of books borrowed
The number of days the book was overdue
Answer:
it's "2+6556_789*4236+8765/987"
Step-by-step explanation:
What is 6x to the power of 3 multiplied by 4x to the power of 8
Answer:
24x^11
Step-by-step explanation:
4x^8*6x^3 can be rewritten as 24x^(3+8) - multiply 4 and 6
Now we just have 24x^11.
Sales tax rate is 8% if Ayana buys a set of spoons price that 17.88 what will be the total cost including tax
Extra:
Percentage = 1% = 0.01, 10% = 0.1 and 100% = 1
Increase in percentage = 1 + percentage eg. (1 + 0.08 = 1.08)
Decrease in percentage = 1 - percentage eg. (1 - 0.08
When can you write ratios as fractions?
Describe the location of the point having the following coordinates.
nonzero abscissa, negative ordinate
O Quadrant II or Quadrant IV
Quadrant I or Quadrant II
Quadrant III or Quadrant IV
Quadrant I or Quadrant IV
Answer:
The best and most correct answer among the choices provided by your question is the fourth choice or letter D.
Nonzero abscissa, negative ordinate is located in Quadrant III or Quadrant IV.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Step-by-step explanation:
please help me
the denominator only
Answer:
6/51/33/1013/549/201/15Step-by-step explanation:
You cannot subtract JUST a denominator. The subtraction sign is lower down because of the odd printing just like the equal signs.
1. The first thing you have to do is change this from a mixed fraction into an improper fraction in order to subtract. This becomes:
12/5 -6/5 (This is done by multiplying the large number by the denominator and adding it to the exsisiting numerator)12-6=6 therefore the answer is 6/52. This one requires you to multiply your denominator so that it is the same for both fractions. The least common denominator (LCD) for these fractions is 12
7/12-1/4(3) (Because 3x4 is 12 which is the LCD)7/12-3/12 = 4/12 (this can be simplified)1/33. This is fairly straight-forward the denominators already match so just subtract the numerators
6/10-3/10= 3/104. Because we have a full number we must make it into a fraction in order to subtract it and also turn the mixed fraction into an improper fraction
We'll start with the mixed because we've done that before multiplying 4 by 5. Add to that 20 the 2 from the original fraction to get 22/ 5For the full number use the denominator of the number to determine the fraction. Multiply the full number by the denominator (5) to get 35 and place a 5 underneath and call it a day.Therefore: 35/5-22/5=13/55. This problem requires multiple steps the first would be to make improper fractions then get a LCD and then of course subtract.
(6x8)+2=48+2=50 --> 50/8(5x3)+4=15+4=19 --> 19/5LCD 5:5,15,20,25,30,40 & LCD 8: 8,16,24,32,40 LCD=40(50/8)x5-(19/5)x8 = 250/40-152/40 = 98/40 This can be simplified49/206. For this we will use another LCD.
LCD 3: 3,6,9,12,15 LCD 5: 5,10,15 LCD=15(2/3)x5-(3/5)x3 = 10/15-9/15 = 1/15 Given f(x) = 5x + 2 and g(x) = 5x - x5X What is the value of (f 9)(1)?
Answer:
the answer is 5×9+2=47
Step-by-step explanation:
the answer is 47