The explicit rule for a sequence and one of the specific terms is given. Find the position of the given
term.
f(n) = 1.25n+ 12.5; 25
25 is the BLANK th term
Answers
Answer:
10.2
Step-by-step explanation:
F(n) is basically a fancy substitute for y
25= 1.25n + 12.25
subtract 12.25 from both sides
12.75=1.25n
n=10.2
plug back in to double check
1.25(10.2) + 12.25
it equals 25, therefore the answer is
10.2
Related Questions
The equation of the line of best fit is y = 0.755x + 11.339. Based on the line of best fit, approximately how many customers are predicted to use a card to pay on a day when 90 customers pay by cash?
Answers
Answer:
79
Step-by-step explanation:
Answer:
79
Step-by-step explanation:
how do you write y-2=-1/3(x-7)
Answers
Answer:
y= -1/3 + 13/3
Step-by-step explanation:
y-2=-1/3(x-7)
Use the distributive property to simplify the right side of the equation
y-2=(-1/3 * x) + (-1/3 * -7)
y-2=-1/3x + 7/3
Add 2 to both sides get the y by itself. 2 can be expressed as 6/3
(y-2) + 2=(-1/3x + 7/3) + 6/3
y= -1/3x + 13/3
Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?
Answers
Answer:
The statement is;
The polynomial function has 3 roots with 2 being real roots and 1 being a complex root
Step-by-step explanation:
Here, we want to state the description of the number and nature of all roots for this function.
The statements are;
1. The polynomial have three roots
2. There are 2 real roots and 1 complex root
Answer:
A
Step-by-step explanation:
on edg 2020!
a 21-ounce box of cereal costs $3.87.what is the unit price of the cereal?
Answers
Answer:
$0.18 per ounce
Step-by-step explanation:
$3.87/21=0.1842857....
Round to the nearest $0.01
1 ounce box cost $0.182.
What is Unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary MethodFirst, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
21-ounce box of cereal costs $3.87
So, 1 ounce box cost= 3.84 / 21
= $0.182
Hence, 1 ounce box cost $0.182.
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
A point (-7, -6) is rotated counterclockwise about the origin to map onto (-6, 7). The
angle of rotation is
A) 360°
B) 180°
OC) 90°
OD) 270°
Answers
Option D, 270 is the answer
Answer:
D
Step-by-step explanation:
If I is parallel to m, solve for x and y (7y-20)(5x-38)(3x-4)
Answers
My question is in the picture:)
Answers
Answer:
10,000
Step-by-step explanation:
14 - a = 5
-4 - 8n = -100
Answers
Answer:
a=9
n=12
Step-by-step explanation:
a=14-5
a=9
8n=100-4
n=96\8
n= 9
14-a=5
-a=5-14
-a=-9
a=9
-4-8n=-100
-8n=-1000+4
-8n=-996
n=-996/-8
n=249/2
Find the slope of the line passing through each of the following pairs of points and draw the graph of the line.
(−4, 3), (2, 3)
Answers
Answer:
0, draw a horizontal line
Step-by-step explanation:
vert. change/hori. change
(3-3)/(-4-2)=0/-6=0
I really need help!!!!!!!!!!!!!!!!!!!!! Im so confused between 1st and 4th.... welp
Answers
Answer:
you are correct it is a
Step-by-step explanation:
Answer:
Its A
Step-by-step explanation:
These trees have different heights. The height of the taller tree is 3 feet less than twice the height of the shorter tree.
Which expression represents the height of the taller tree in terms of h?
Let h = the height (in feet) of the shorter tree
A. 2h+3
B. 2h-3
C. 3h+2
D. 3h-2
Answers
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The answer is Choice B if you subtract 3 feet from twice the smaller tree you should get the height of the taller tree.
Answer:
b
Step-by-step explanation:
Rachel and four friends were going to the movies. Each ticket cost $11 and then they bought 2 popcorns at $3.75 each, and they each bought their own soda at $2.75 each. How much money did they spend total for their trip to the movies? If they decide to split the bill, how much will they each pay?
Answers
Answer:
Total amount spent [tex]=\$73.5[/tex]
If they decide to split the bill, amount paid by each of the person [tex]=\$15.25[/tex]
Step-by-step explanation:
Cost of each movie ticket = $11
Cost of 5 tickets = 5(11)= 55
Cost of each packet of popcorns = $3.75
Cost of two packets of popcorns = $2(3.75) = $7.5
Cost of each soda = $2.75
Cost of five sodas = $5(2.75) = $13.75
Total number of persons (Rachel and four friends) = 5
Total amount spent [tex]=11(5)+2(3.75)+5(2.75)=55+7.5+13.75=\$76.25[/tex]
If they decide to split the bill, amount paid by each of the person = [tex]\frac{76.25}{5}=\$15.25[/tex]
Prove that: (1 + cos A)^2 - (1 - cos A)^2/
sin^2 A=
4cosec A. cotA
Answers
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
cosec x = [tex]\frac{1}{sinx}[/tex] , cot x = [tex]\frac{cosx}{sinx}[/tex]
Consider the left side
[tex]\frac{(1+cosA)^2-(1-cosA)^2}{sin^2A}[/tex] ← expand and simplify numerator
= [tex]\frac{1+2cosA+cos^2A-(1-2cosA+cos^2A}{sin^2A}[/tex]
= [tex]\frac{1+2cosA+cos^2A-1+2cosA-cos^2A}{sin^2A}[/tex]
= [tex]\frac{4cosA}{sin^2A}[/tex]
= 4 × [tex]\frac{1}{sinA}[/tex] × [tex]\frac{cosA}{sinA}[/tex]
= 4cosecAcotA
= right side, thus proven
when a figure translated, reflected, or rotated, what’s the same about the original figure and it’s image? what’s different
Answers
Answer:
The size of the figure is still the same, but the positioning on the coordinate grid is different.
Step-by-step explanation:
The size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.
What is reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection. The reflection equation of the new reflected graph will be y=f(x), y = f (x) given an equation, y= -f(x), y = -f (x). In other words, the function is just multiplied by 1, which results in a curve that crosses the x-axis.The size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.As, it is stated in the description that the size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.
Therefore, the size of a figure remains constant when it is translated, reflected, or rotated, but its location on the coordinate grid changes.
Know more about reflection here:
https://brainly.com/question/27979059
#SPJ2
Which point most closely represents V20 on the number line above?
Answers
Answer:
C
Step-by-step explanation:
The square root of 16 is four, and the square root of 25 is 5, so the answer would have to be in between the two.
What is the answer to these two
Answers
Answer:
1.) m<6 and m<8=142, m<9=38
2.) m<7 and m<9=66, m<8=114
note: brainliest would be appreciated.
Step-by-step explanation:
Every musician in the band plays either the flute or the drum (but not both). The ratio of flutists to drummers is 7 : 1. If 2 drummers join the group and 6 flutists quit, the ratio of flutists to drummers would be 3 : 1. How many musicians were in the original ensemble? 4. A sloth is swimming in the Charles River at 20 feet per minute. How fast is the sloth swimming in smoots per hour? One smoot is equal to 5 feet, 7 inches. Write your final answer as a simplified fraction.
Answers
Answer:
Number of drummers in original ensemble [tex]=3[/tex]
Number of flutists in original ensemble [tex]=21[/tex]
Step-by-step explanation:
The ratio of flutists to drummers is [tex]7:1[/tex]
Let number of flutists and drummers be [tex]7x[/tex] and [tex]x[/tex].
As 2 drummers join the group and 6 flutists quit,
Number of drummers = [tex]x+2[/tex]
Number of flutists = [tex]7x-6[/tex]
New ratio of flutists to drummers = [tex]3:1[/tex]
So,
[tex]\frac{7x-6}{x+2}=\frac{3}{1}\\ 7x-6=3(x+2)\\7x-6=3x+6\\7x-3x=6+6\\4x=12\\x=3[/tex]
So,
Number of drummers in original ensemble [tex]=x=3[/tex]
Number of flutists in original ensemble [tex]=7x=7(3)=21[/tex]
Answer:
the answer is 5!!!
Step-by-step explanation: hope this helps
which two points lie on a line with a slope closest to zero ?
Answers
Answer:
Point N and point K
Step-by-step explanation:
The steeper a line is in the graph, the greater the value of the slope of the line would be, and also, the farther it would be from 0. On the other hand, the more gentle and less sloppy a line is, the smaller the value of the slope is, and also, the closer it is to 0.
From the graph given, there are possible set of points in a line that have a gentle line slope.
The first is, points N and K. The slope of this line is ⅑.
The second is, points P and L. The slope of this line is ⅙.
From the two above lines, the one with a slope closest to 0 is the line that runs through points N and K. ⅑ is closer to 0 than ⅙.
thank you in advance
how do i solve or come up for things like this for example:
write an equation for the line that passes through (3,-6) and (8,9)
Answers
Answer:
rise/run 6/15 6/15 = 0.4
Step-by-step explanation:
Answer:
y=15/-5x+5 OR y=-3x+5
Step-by-step explanation:
any answer works. the 2nd one is just the simplified version of the first one
You are making picnic baskets.The list shows the items you are putting into the baskets.You want identical groups of items in each basket with no items left over.What is the greatest number of picnic baskets you can make?
Answers
Answer:
apples
Step-by-step explanation:
Answer:
you will have 8 baskets
because if you look at all the number you will see that they have one number in common which is eight. then you will need to find the division partner which would be:
4 sanwiches,5 granola bars,and 6 apples in one picnic basket. doing that you will get eight basket in total.
Jade can do 65 push ups in 5 minutes. At the same rate, how many push ups can you expect her to do in 7 minutes?
Answers
Answer:
91
Step-by-step explanation:
Set up a proportion, where x is the number of push ups she can do in 7 minutes
[tex]\frac{65}{5}[/tex] = [tex]\frac{x}{7}[/tex]
Cross multiply and solve for x:
5x = 455
x = 91
So, Jade can do 91 push ups in 7 minutes
Answer:
She can do 91 pushups
Step-by-step explanation: make an equation
There are 3 cats in a room and no other creatures. Each cat has 2 ears, 4 paws, and 1 tail.
"A diagram of 3 identical cats."
There are ______ paws for every tail.
Group of answer choices
4
1
2
8
6TH GRADE NOT 10 :)
Answers
Answer:
4 paws for every tail. Hope this helps.
Answer:
4:1
Step-by-step explanation:
Please help for 50 points
Answers
Answer:
sometimes
never
always
sometimes
Step-by-step explanation:
Answer:
sometimes
never
always
sometimes
Step-by-step explanation:i did this...i got it correct
I need help on this. Please help me!!!
Answers
Answer:
i think in order it would go c, b, d
Answer:
1. D
2. B
3. A
Step-by-step explanation:
1. This is the only graph with a negative y-int.
2. Proportional means the graph has a y-int of zero and this graph is the only graph that does.
3. This is the only graph with a positive slope.
Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 45 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 23 of the number of part 2 questions. What was the total number of questions on Stephanie's exam? 32 40 44 48
Answers
Answer:
44
Step-by-step explanation:
Let x and y be the total number of questions in part 1 and part 2 exams respectively.
For part 1:
Number of correct question = 4/5 of the total number of question in part 1
[tex]\Rightarrow 16=\frac{4}{5}\times x[/tex]
[tex]\Rightarrow x=20[/tex]
For part 2:
Number of corrected question = 2/3 of total number of question in part 2
[tex]\Rightarrow 16=\frac{2}{3}\times x[/tex]
[tex]\Rightarrow x=24[/tex]
So, the total umbers of the questions on Stephanie's exam
=x+y
=20+24
=44
Hence, the total umbers of the questions on Stephanie's exam was 44.
Bruh can someone please help me
Answers
I
- Marissa is trying to lose some weight. So far she has lost 13 pounds. Her goal is
to lose 51 pounds. She is on a calorie counting plan that will allow her to lose
2 pounds a week. What is the minimum number of weeks she must follow her
plan before she hits her goal?
Answers
Answer:
6
Step-by-step explanation:
What’s the answer?????
Answers
Answer:i know you it
Step-by-step explanation:
you know it
Ernie earned $121.50 more than Kaylin. Tria earned $35 less than 3 times the amount Kaylin earned. Ernie, Tria, and Kaylin earned $579 in all. How much did Tria earn?
$98.50
$220.00
$260.50
$330.50
Answers
x - Ernie, y - Kaylin, z - Tria
x = y + 121.50
z = 3y - 35
x + y + z = 579
-------------------------
z = 3 y - 35 => - 3 y + z = -35
y + 121.50 + y + z = 579
---------------------------------
- 3 y + z = - 35 / · ( -1 )
2 y + z = 457.50 (we will use the elimination method)
---------------------------------
3 y - z = 35
2 y + z = 457.50
----------------------
5 y = 492.5, y = 492.5 : 5 = 98.5
z = 3 · 98.5 - 35
z = 260.5
Tria earned $260.5
Step by step explanation
Let "x" be the amount earned by Ernie
Let "y" be the amount earned by Kaylin
Let "z” be the amount earned by Tria
Now let’s form the equations
x=y + 121.50 (1)
z=3y- 35 (2)
x + y + 2= 579 (3)
Now plug in x = y + 121.50, in the third equation.
y + 121.50 + y + z =579
2y + z = 457.50
From the second equation 3y - z = 35
2y + z =457.50
3y - z = 35
5y = 492.5
Dividing both sides by 5 we get
y = 98.50
Now let’s find how much Tria earned.
z = 3*98.5 - 35
z = $260.50
19(-16)
helpppppppppppppppp
