Write the explicit rule for the given the sequence: 125, 25, 5, ...
Answer:
An=125(1/5)^n-1
Step-by-step explanation:
r=common ratio
A1= first term in the sequence
I hope this helps some
The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
The given GP series is 125, 25, 5, ...
First term a = 125
Common ratio = 25/125 = 1/5
The nth term will be given as ar^(n-1)
Thus, An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].
Hence "The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125".
For more information about the geometrical progression,
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plz help this is very confusing
Answer:
[tex] x \ge 15 [/tex]
Step-by-step explanation:
An isosceles ∆ has 2 equal sides. The perimeter of a ∆ is the sum of all its sides.
Given that the perimeter of the triangle above is "at least 137 ft", this means the sum of all its sides is equal to or greater than 137 ft.
Thus, using inequality, this can be represented as:
[tex] 2(2x + 7) + 4x + 3 \ge 137 [/tex]
Solve for x
[tex] 4x + 14 + 4x + 3 \ge 137 [/tex]
Add like terms
[tex] 8x + 17 \ge 137 [/tex]
Subtract 17 from both sides
[tex] 8x + 17 - 17 \ge 137 - 17 [/tex]
[tex] 8x \ge 120 [/tex]
Divide both sides by 8
[tex] \frac{8x}{8} \ge \frac{120}{8} [/tex]
[tex] x \ge 15 [/tex]
Alfie is cooking a 0.6kg jaunt of steak for dinner. calculate the total time he needs to cook for it
Answer: This is a tough question
Depends on if you wanna cook it medium rare, rare, medium well, well done, or do you just wanna eat it raw :D
Step-by-step explanation:
Harley bought a one year $1000 treasury bond. He paid $950 for the treasury bond. What is his rate of return? Round to one decimal, such as: 6.7%.
0.053%
53%
5.3%
5%
Answer: 5.3%
Step-by-step explanation:
The formula to compute rate of return is given by :-
Rate of return = [tex]\dfrac{\text{Selling price - investing price }}{\text{ investing price}}\times100[/tex]
[tex]=\dfrac{1000-950}{950}\times100\%\\\\=\dfrac{50}{950}\times100\%\\\\=\dfrac{100}{19}\%\\= 5.3\%[/tex]
Hence, his rate of return = 5.3%
The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.
Which statement is true?
Select each correct answer.
The maximum height of the water balloon occurs at x = 0.
The water balloon is in the air for 2 s.
The water balloon hits the ground in 64 s.
The water balloon rises above 64 ft before falling toward the ground.
The maximum height of the water balloon is 64 ft.
Answer:
O The maximum height of the water balloon occurs at x = 0.
O The water balloon is in the air for 2 s.
O The maximum height of the water balloon is 64 ft.
Step-by-step explanation:
Firstly, by simply looking at the x axis on the graph (time), you will see that it starts at 0 and the 64 ft maximum height is aligned with the starting point of 0 seconds.
The graph also shows (x axis) the 'time' represented, and as the height rapidly decreases the graph eventually reaches the 2 second mark, going no further and no lower.
Finally, the graph shows (y axis) the peak of the water balloon's height is 64 ft, as it is the highest number reached while the water balloon was airborne.
The correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
The graph represents the height y, in feet, above the ground of a water balloon x seconds after it is dropped from a window.
The water balloon follows a path such that it makes half parabola.
From the graph:
At x = 0
Height(h) = 64 feet
Which is the maximum height of the water balloon.
After t = 2 seconds
The water balloon hits the ground
The correct options are:
The maximum height of the water balloon occurs at x = 0. The water balloon is in the air for 2 s. The maximum height of the water balloon is 64 ft.Thus, the correct options are (A) The maximum height of the water balloon occurs at x = 0, (B) The water balloon is in the air for 2 s, and (5) The maximum height of the water balloon is 64 ft are correct.
Learn more about the parabola here:
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How do you skip videos on edunuity?
Answer: let the video play for a while, pause, disconnect from wifi, reconnect, then refresh the page.
Step-by-step explanation:
You may have to press next activity again and it might not work the first time but I promise it works.
Answer:
you skip when it comes to the very end
Step-by-step explanation:
Please Give BrainleastQuestion in picture below will give brainly.
Answer:
The Best answer would be The Third Option Below
Step-by-step explanation:
A net of a storage trunk is shown. Which is the trunk's surface area?
A local hamburger shop sold combined total 500 hamburgers and cheeseburgers the number of cheeseburgers old was three times the number of hamburger sold how many hamburgers were sold?
Answer:
125 hamburgers
Step-by-step explanation:
Let x be the number of hamburgers sold and 3x the number of cheeseburgers sold.
So:
x+3x=500
4x=500
x=125
So there are 125 hamburgers sold.
Calculate had a net income of 5 million dollars in 2010, while a small competing company, Computate, had a
net income of 2 millions dollars. The management of Calculate develops a business plan for future growth
that projects an increase in net income of 0.5 million per year, while the management of Computate
develops a plan aimed at increasing its net income kshy15% each year.
a. Create standard mathematical model (table, graph, or equations) for the projected net income for the
next 10 years for both companies. Make sure that each model is accurate and labeled properly so that it
represents the situation
b. If both companies were able to meet their net income growth goals, which company would you choose
to invest in? Why?
c. When, if ever, would your projections suggest that the two companies have the same net income? How
did you find this? Will they ever have the same net income again?
9514 1404 393
Answer:
a) see the attached spreadsheet (table)
b) Calculate, for a 10-year horizon; Computate for a longer horizon.
c) Year 13; no
Step-by-step explanation:
a) The attached table shows net income projections for the two companies. Calculate's increases by 0.5 million each year; Computate's increases by 15% each year. The result is rounded to the nearest dollar.
__
b) After year 4, Computate's net income is increasing by more than 0.5 million per year, so its growth is faster and getting faster yet. However, in the first 10 years, Calculate's net income remains higher than that of Computate. If we presume that some percentage of net income is returned to investors, then Calculate may provide a better return on investment.
The scenario given here is only interested in the first 10 years. However, beyond that time frame (see part C), we find that Computate's income growth far exceeds that of Calculate.
__
c) Extending the table through year 13, we see that Computate's net income exceeds Calculate's in that year. It continues to remain higher as long as the model remains valid.
Consider the line y=5x-3.
Find the equation of the line that is parallel to this line and passes through the point (2, -5).
Find the equation of the line that is perpendicular to this line and passes through the point (2, -5).
Answer:
y=5x-15, y=-1/5x-23/5
Step-by-step explanation:
Parallel lines have the same slope, so we know the line that is parallel to y=5x-3 must have slope 5.
We now have y=5x+b. We are given the point (2, -5) so substitute the x and y coordinates into the equation.
y=5x+b
-5=5(2)+b
-5=10+b
b=-15
So the equation of the parallel line is y=5x-15.
Perpendicular lines must have slopes that multiply to -1, so we know the line perpendicular to y=5x-3 must have slope -1/5.
We now have y=-1/5x+b. We are given the point (2, -5) so substitute the x and y coordinates into the equation.
y=-1/5x+b
-5=-1/5(2)+b
-5=-2/5+b
b=-23/5
So the equation of the perpendicular line is y=-1/5x-23/5.
Which symbol will make the number sentence true? 6/7 0.85
Answer:
6/7 > 0.85
hope this help
6/7 () 0.85
=6/7 () 85/100
=6/7 () 17/20
=120/140 () 119/140
∵120/140>119/140
∴6/7>0.85
Which table represents a function with a slope of 1/2 and a y-intercept of 4
Answer:D
Step-by-step explanation: trust me ima sophomore use this for help y=1/2x+4 then x value change it to the number in the x section then if the y appears just like in the box the y section it’s correct
Write the decimal equivalent for 6 1/9
Answer: 6.11
Step-by-step explanation:
Step 1: Multiply the whole number by the denominator:
6 × 9 = 54
Step 2: Add the product you got in Step 1 to the numerator:
54 + 1 = 55
Step 3: Divide the sum from Step 2 by the denominator:
55 ÷ 9 = 6.111111
That's it folks! The answer to 6 1/9 in decimal form is displayed below:
6 1/9 ≈ 6.11
Answer b.
Hope this answer helps you
Answer: b 6 1/9 = 6.11
Step-by-step explanation: what I did first was figure out the decimal version of 1.9 which equaled to 0.11111 etc. then due to it having a zero in front of it, you just place the in that spot making the answer 6.1111111 :)
hope this helped!
Tim ate 12 buffalo wings. Jeff ate 125% of the amount Tim ate. How many wings did Jeff eat?
Answer:
%50
Step-by-step explanation:
hope this helped luv!
Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week
Step-by-step explanation:
Given that,
Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time he swims. This week, he spent more than 6 hours training for the race.
Let x represent no. of times Dominick runs per week and y represents no. of times that Dominick swims per week.
ATQ,
0.75x + 1.5y > 6
The graph represent the scanario for the given data.
Answer:
picture A
Step-by-step explanation:
I know because I just took a quiz and i got it right
Please Help and be honest !
Do you “binge-watch” television series by viewing multiple episodes of a series at one sitting? A survey of 800 people who “binge-watch” were asked how many episodes is too many to watch in one viewing session. The results are displayed in the bar chart.
Is this Quantitive or Categorical?
--------------------------------------------------------------------------------------------------------------------------------
ALSO:
Explain how this graph is misleading.
A. The bars are various heights
B. The words at the end
C. The vertical axis doesn't show zero
D. None of the above
Answer:
D or C
Step-by-step explanation:
What is 63 divided by 36?
Answer:
1.75
Step-by-step explanation:
used a calculator
Answer:
63÷36=1.75
Step-by-step explanation:
itz easy
mark me as a brainlist
Kenia rotated Triangle ABC 90° counterclockwise to create Triangle A’B’C’. If Kenia performed this transformation correctly, what is the measure of angle B'? What is the measure of angle A and C. Number value only. URGENT
Answer:
B' = 105°
C = 27°
A = 48°
Step-by-step explanation:
Given
B = 105°
C = (2x - 3)°
C' = (5x - 48)°
Rotation = 90°
Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.
i.e. an angle retain its measurements pre and after rotation.
Solving (a): The measurement of B'
Using the analysis above.
B' = B
Recall that
B = 105°
So:
B' = 105°
Solving (b): A and C
First, I'll solve for C.
Using the same analysis above.
C = C'
Substitute values for C and C'
5x - 48 = 2x - 3
Collect like terms
5x - 2x = 48 - 3
3x = 45
Multiply both sides by ⅓
⅓*3x = ⅓*45
x = 15
Substitute 15 for x in
C = (2x - 3)°
C = 2 * 15 - 3
C = 30 - 3
C = 27°
Solving for A
The sum of angles (A, B and C) is represented as:
A + B + C = 180
Substitute values for B and C
A + 105° + 27° = 180°
A + 132° = 180°
Collect like terms
A = 180° - 132°
A = 48°
Which function has a graph with a positive y-intercept?
A. I and III only
B. I only
C. II, and III
D. III only
Answer:are you taking AP calculus AB
Step-by-step explanation:
Answer:
A l and lll
my teacher helped me
Determine the total surface area of each right triangle-based prism
Answer:
small prism: 630 m²large prism: 2520 m²Step-by-step explanation:
The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.
For the smaller prism, the area is ...
(20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²
The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:
4×630 m² = 2520 m²
__
In summary, the total surface area of each prism is ...
small prism: 630 m²large prism: 2520 m²Cooper's bird feeder holds 9/10 of a cup of birdseed Cooper's filling the bird feeder with a scoop that holds 3/10 of a cup how many scoops of birdseed will Cooper put in the feeder
Find the recipricol of -b/3
Answer:
-0.333333333
Step-by-step explanation:
Georgia wants to test a protein supplement
for muscle gain. It randomly selects 15
players to take the supplement and 15
players to take a placebo. Before and after
10 weeks of taking these pills, the players'
muscle mass is measured and compared.
This is an example of a(n):
A) Sample B) Observational Study
C) Census D). Experiment
pls help asap i will give brainliest 16 POINTS!!!!
What is the reciprocal of 1/5?
5/1
4
1/5
Which equation represents the line passing through the points (4, −1) and (1, 0)?
Select one:
A. x + 3y = 1
B. 3x + y = 1
C. x − 3y = −1
D. −x + 3y = 1
The equation Y= -8x + 1,000
Answer:
-8
Step-by-step explanation:
search up this website for the steps:
symbolab is the website
Answer:
That is a false equation
Step-by-step explanation:
The negative can't coninspire with the final result. There is no answer It is invalid. Your in collage. Lay off the parties and learn the basic functions of math
(14)/(5)=(x)/(25) please help
Step-by-step explanation:
(14)/(5)=(x)/(25)
We move all terms to the left:
(14)/(5)-((x)/(25))=0
We add all the numbers together, and all the variables
-(+x/25)+14/5=0
We get rid of parentheses
-x/25+14/5=0
We calculate fractions
There is no solution for this equation
A hiker starts hiking at the beginning of a trail at a point which is 20 feet below sea level. He hikes to a location on the trail that is 58 feet above sea level
and stops for lunch
What is the vertical distance between 200 feet below sea level and 580 feet above sea level?
Answer:
780 feet below sea level
Step-by-step explanation: