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Explanation:
We're given f(1) = 3.2 which says the first term of the sequence is 3.2
To find the second term, we use the other equation, which is the recursive equation. Plug in x = 1 to get...
f(x+1) = 2.5*f(x)
f(1+1) = 2.5*f(1)
f(2) = 2.5*f(1)
f(2) = 2.5*3.2
f(2) = 8
The second term is 8. We multiplied the previous term (3.2) by the factor 2.5 to get this second term.
The third term is handled pretty much in a similar fashion
third term = 2.5*(second term)
third term = 2.5*8
third term = 20
Lastly, the fourth term f(4) is...
f(x+1) = 2.5*f(x)
f(3+1) = 2.5*f(3)
f(4) = 2.5*f(3)
f(4) = 2.5*20
f(4) = 50
The fourth term is 50.
The first four terms are: 3.2, 8, 20, 50
The product of 0.4 and a number is 8
Pleaseeee helpppp asappp
Answer:
14
Step-by-step explanation:
help me please .
Ester purchased a used car, a Ford Focus, for $8400. The car is expected to decrease in value by 20% per year over the next couple of years.
At this rate, what can Ester expect the approximate value of the car to be after 6 years?
Question 6 options:
$1,409
$2,202
$4,200
$1,762
Answer:
$2,202
Step-by-step explanation:
If the car decreases in value 20% per year, that means that the car is only worth 80% of its value for the next year.
80% can be written as .80.
Multiply the value of the car by .80 6 times.
8400 multiplied by .80 = 6720
6720 multiplied by .80 = 5376
repeat this sequence 4 more times to come to an answer of 2,202
HELP WITH MATH!! MARKUPS AND MARKDOWNS! I’LL PUT BRAINLIEST IF ITS CORRECT!
Answer:
1. $62.50
2. $41.25
3. $90.35
4. $2,160
5. $343
6. $66,602.25
7. $220
Step-by-step explanation:
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Find the area of the shape shown below.
Answer:
28 units.
Step-by-step explanation:
Area of square + Area of triangle + Area of rectangle = Area of figure shown
=> (4 x 4) + (1/2 x 4 x 2) + (2 x 4) = Area of figure shown
=> 16 + 4 + 8 = Area of figure shown
=> 28 = Area of figure shown
Therefore, the area of the figure is 28 units.
Hoped this helped.
Answer:
28 units.
Step-by-step explanation:
Act like the shape is just a normal rectangle, because thats easy to do. If it was a full rectangle the length would be 8 and the width would be 4. The formula for finding area of a rectangle is length times width so 8x4 is 32. Now, to find the actual area of the shape, you have to subtract a bit. (I'll add a picture to better explain what I am meaning) You imagine see a mini rectange in the corner with a length of 4 and a width of 2. The area for that is 8. But, only half of that imaginary rectangle is in the actual shape so subtract half of that shape (4) from the original 32 and you get 28. The area is 28 units.
A consumer magazine wants to figure out which of two major airlines lost a higher proportion of luggage on international flights. The magazine surveyed Standard Air (population 1) and Down Under airlines (population 2). Standard Air lost 45 out of 600 bags. Down Under airlines lost 30 of 500 bags.
Does Standard Air have a higher population proportion of lost bags on international flights?
Calculate the appropriate p-value.
i. 0.0817
ii. 0.1634
iii. 0.8366
iv. 0.9183
A machine takes 15 minutes to scan 1,125 pages. At this rate, how many pages can the machine in a hour?
Answer:
4500 pages
Step-by-step explanation:
an hour has 60 minutes. This means in 1 hour the machine will scan 60/15 more pages. 60/15 =4.
1125*4 =4500 pages/hour
In one hour the machine will scan 4500 pages.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a machine takes 15 minutes to scan 1,125 pages.
The machine takes 15 minutes to scan 1,125 pages.
Then, in 1 minute, it will scan (1125/15) = 75 pages.
So, in 1 hour, it will scan -
x = 75 x 60
x = 4500
Therefore, in one hour the machine will scan 4500 pages.
To solve more questions on algebraic expressions, visit the link below -
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please help me thank you!
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Answer:
the slope is flatter
the line is shifted 7 down
Step-by-step explanation:
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The pentagons ABCDE and JKLMN are similar find the length x of JK
Answer:
x = 8
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are in proportion , that is
[tex]\frac{JK}{AB}[/tex] = [tex]\frac{KL}{BC}[/tex] , substitute values
[tex]\frac{x}{4}[/tex] = [tex]\frac{6}{3}[/tex] = 2 ( multiply both sides by 4 to clear the fraction )
x = 8
75,15,3 find the 6th term
Answer:
0.024
Step-by-step explanation:
75, 15, 3, ...
Now, let's take a look at thus pattern.
You'll notice how the numbers decrease.
Divide 75 by 5.
We get 15
Divide 15 by 5.
We get 3.
Then we have the pattern now.
3 ÷ 5 = 0.6 (4th term)
0.6 ÷ 5 = 0.12 (5th term)
0 12 ÷ 5 = 0.024 (6th term)
I hope it helps.
Determine if the two triangles are congruent. If so, select the appropriate congruence postulate. If not, select the reason why.
Answer:
Asa
Step-by-step explanation:
Because if u look left to right on one triangle there is a angle and in between they have a com on line and on the right theres another angle so There for it’s angle side angle
PLS HELP
First answer- (5,0) (10,0)
Second answer- (0,1//20) (0,20)
Is - 4 the absolute value of 3 – 7? Explain.
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you today!!
We can solve this problem in a single step, we just need to know more about absolute value.
Absolute value is the distance a number is away from 0. For example, if we need to find the absolute value of -7, it would be 7 as the distance can not be negative.
Since we know that, we can solve the problem using algebra and our new logic we got.
[tex]|3-7|=-4?\\4\neq -4[/tex]
We can see that -4 is not the absolute value, 4 is as the distance is 4 and cannot be negative.
Cheers!
Julio just bought a $267,900 house. He had a 20 year mortgage with a fixed rate of 5. 875%. Julio’s monthly payments are $1,558. 9. What percent of the purchase price was Julio’s down payment? a. 13% b. 15% c. 18% d. 20%.
Julio's down payment was 22.08% of the purchase price.
Given that Julio just bought a $ 267,900 house, and he had a 20 year mortgage with a fixed rate of 5.875%, and Julio's monthly payments are $ 1,558, to determine what percent of the purchase price was Julio's down payment the following calculation must be performed:
(267,900 x 1.05875) - (1558 x 12 x 20) = X
582,682.50 - 373,920 = X
208,762.50 = X
267,900 = 100
208,762.50 = X
208,762.50 x 100 / 267,900
77.92 = X
100 - 77.92 = 22.08
Therefore, Julio's down payment was 22.08% of the purchase price.
Learn more about maths in https://brainly.com/question/25917920
The model represents x2 â€" 9x 14. An algebra tile configuration showing only the Product spot. 24 tiles are in the Product spot: 1 is labeled x squared, 9 are labeled negative x, and 14 are labeled. Which is a factor of x2 â€" 9x 14? x â€" 9 x â€" 2 x 5 x 7.
The factors of the given model are (x+2) and (x+7)
Given the representation of the model expressed as;
[tex]x^2+9x+14[/tex]
To get the factors, we will factorize the given quadratic function as shown:
[tex]g(x) = x^2+2x+7x+14[/tex]
Group the functions to have;
[tex]g(x) = (x^2+2x) + (7x+14)\\[/tex]
Factor out the GCF from both parenthesis:
[tex]g(x) = x(x+2)+7(x+2)\\g(x)=(x+2)(x+7)[/tex]
Hence the factors of the given model are (x+2) and (x+7)
Learn more on factorization here: https://brainly.com/question/25829061
If 333 + 555 = 999 And 123 + 456 = 488 And 505 + 213 = 809 Then 344 + 732 = ???
Answer:
1076
Step-by-step explanation:
I just need points lol
Study and Learn
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Dr.Goode prescribed 0.2 grams of cold medicine. This medicine comes in tablets that are 0.5 grams or 0.05 grams. Should his patient take 4 of the 0.5 gram tablets or 4 of the 0.05 gram tablets? Why?
90 POINTS PLS HELP
Answer:
4 of the 0.05 gram tablets
Step-by-step explanation:
4 of the 0.5 tablets would be 2 grams
4 of the 0.05 tablets would be 0.2 grams
Find an equivalent ratio in simplest terms: 56 : 40
Answer:
7:5 is another ratio equivalent to 56:40
Step-by-step explanation:
56/8 = 7
40/8 = 5
Answer:
hope this helps
Step-by-step explanation: an equivalent ratio in simplest form would be 7:5
this is found by dividing 56 by 8 which is 7 and 40 dividd by 8 which is 5
7:5
Any help wit this ? Cause I’m kinda confused
Answer:
D. The hiker would climb up 46 meters
Step-by-step explanation:
It would make the negative cancel out and would make it 0. 0 is sea level
Answer:
D the hiker would climb up 46 meters.
Step-by-step explanation:
If the hiker is -46 meters from sea level, that means the hiker is 46 meters BELOW sea level. For them to return to sea level, they would have to increase their elevation 46 meters by going up 46 meters, to make it to sea level.
Your parents have given you some money to spend with your friends at Water World. You already have purchased a banana split for $7, and you end the day with $17. WRITE AND SOLVE an equation to find how much money you started the day at Water World with.
Answer:
$17=x-$7
x=$24
Step-by-step explanation:
Carry the 7 to the other side
$17+$7=x
x=$24
A car is traveling at 55km/hr and has a mass of 1200 kg. What is the momentum of the car?
Thank you for whoever solves this, I will make sure to add brainliest if possible
Answer:
66,000 kg·km/hr
Step-by-step explanation:
p = mass × velocity
p = (1200 kg) × (55 km/hr) = 66,000 kg·km/hr
_____
Additional comment
Here, we have used the standard metric units for momentum. The units you choose can be any mass·velocity units that meet your needs.
solve for x -22=-7+3/5x
Which table of values would produce the graph shown above?
A package of Oreos typically contained 45 cookies. Recently, Nabisco reduced the number to 39 cookies in a package because of inflation! What is the percent of change?
Answer:
Percentage of change - 15.4% (simplified)
Step-by-step explanation:
15.384%
The sales tax on a surfboard is $12 what is the percent of sales tax?
Mrs phillubum has $200 in her bank account and is saving at a rate of $25 each week.
30 points.
the midpoint of AB is (4,8) and the coordinates of point A are (-6,4) what are the coordinates of point B?
Answer:
B = (14, 12)
Step-by-step explanation:
As you know, the midpoint is the average of the end point coordinates:
M = (A +B)/2
Solving for B gives ...
2M = A + B
B = 2M -A
B = 2(4, 8) -(-6, 4) = (8+6, 16 -4)
B = (14, 12)
will mark brainliest for 2 possible answers (WITH NO LINKS AND ANSWERS WITHOUT EXPLANATION)
Answer:
Equation in cubed form is x^3+7x^2+7x-15
Step-by-step explanation: