Find the third, fifth, and seventeenth terms of the sequence described by
the explicit formula: f(n)=-9.2-2.5(n-1)
Given:
The explicit formula of a sequence is
[tex]f(n)=-9.2-2.5(n-1)[/tex]
To find:
The third, fifth, and seventeenth terms of the sequence.
Solution:
We have,
[tex]f(n)=-9.2-2.5(n-1)[/tex]
For n=3,
[tex]f(3)=-9.2-2.5(3-1)[/tex]
[tex]f(3)=-9.2-2.5(2)[/tex]
[tex]f(3)=-9.2-5[/tex]
[tex]f(3)=-14.2[/tex]
For n=5,
[tex]f(5)=-9.2-2.5(5-1)[/tex]
[tex]f(5)=-9.2-2.5(4)[/tex]
[tex]f(5)=-9.2-10[/tex]
[tex]f(5)=-19.2[/tex]
For n=7,
[tex]f(7)=-9.2-2.5(7-1)[/tex]
[tex]f(7)=-9.2-2.5(6)[/tex]
[tex]f(7)=-9.2-15[/tex]
[tex]f(7)=-24.2[/tex]
Therefore, the third, fifth, and seventeenth terms of the sequence are -14.2, -19.2 and -24.2 respectively.
Can someone help me with the questions in the picture?
Answer:
1) Isosceles - 2 sides are the same.
2) Scalene - all the sides are different, and an oblique angle.
3) Right Triangle - it has a right angle
4) isoscele - 2 sides are the same it has acute angles.
5) Scalene - all the sides are different, and an oblique angle.
6) equilateral - all the sides and angles are the same.
Step-by-step explanation:
What is the value of x in the equation 18-37x--42x+0.37
Answer:4.48
Step-by-step explanation:
Cuz I sed so. (70% chance of being wrong, so just use 4.48099829836)
M is the midpoint of CB, CM = 3x+1, and MB = 5x−9.
Determine the value of x.
Answer:
x = 5
Step-by-step explanation:
Since both sides are given, set both sides equal to eachother.
3x + 1 = 5x - 9
Segment CM is on the left and segment MB is on the right. From now on, solve for x.
Step 1: Isolate x by itself by subtracting the lesser value
3x + 1 = 5x - 9
-3x -3x the x's on the left cross out
---------------------
1 = 2x - 9
+9 +9 having x on one side
----------------
10 = 2x
__________________________________________________________
Step 2: Divide each side by 2 to get rid of x's coefficient
10 = 2x
/2 /2
----------
5 = x
Solution: x = 5
__________________________________________________________
Solving for CB: Substitute x for both sides since x = 5
3(5) + 1 = side CM
15 + 1 = side CM
16 = side CM
__________________________________________________________
Solving for CB: Solve for the other side (segment MB)
5(5) - 9 = side MB
25 - 9 = side MB
14 = side MB
__________________________________________________________
Solving for CB: Lastly, add up the sides
16 + 14 = segment CB
30 = segment CB
__________________________________________________________
Applying the knowledge of midpoint of a segment, the value of x = 5.
Given:
[tex]CM = 3x+1\\\\MB = 5x-9[/tex]
To solve this, we would apply our knowledge of Midpoint of a Segment to create an equation that will help us solve for the value of x.
Since M as a midpoint of CB, will divide CB into equal segments.Thus:
Given that M is a midpoint of CB, therefore,[tex]CM = MB[/tex]
Substitute[tex]3x + 1 = 5x - 9[/tex]
Collect like terms[tex]3x - 5x = -1 - 9\\\\-2x = -10[/tex]
Divide both sides by -2[tex]x = 5[/tex]
Therefore, applying the knowledge of midpoint of a segment, the value of x = 5.
Learn more here:
https://brainly.com/question/17877300
what is the slope of this graph?
Answer:
It is -2/3
Step-by-step explanation:
Four more than twice a number is half the number six times. Find the number.
Answer:
x = 4
Step-by-step explanation:
2x + 4 = 6(1/2×)
2x + 4 = 3x
-2x on oth sides
4=×
x is 4
Which ordered pair is a solution of the equation?
5x−2y=18
Answer:
Step-by-step explanation:
5x−2y=18
5(0)−2y=18
-2y=18
y=-9
5x−2(0)=18
5x+0=18
5x=18
x=18/5
Which figures are reflections of Figure A?
A) B and D
B) C and E
C) F
D) all of the above
Help me please as soon as possible
1+1+2+3+4 is what
it says it needs to be 20 characters long
Answer:
11
Step-by-step explanation:
how do you know how to read yet not know this
Pls help me and can you give tips on exponents??!
Answer:
Basically, exponents represent the number of times you multiply that number by itself. For example, 3² = 9, because you multiply 3 times 3.
Step-by-step explanation:
Mr. Zhou surveyed his 25 students to find out how much time they spent doing homework each week. The results of his survey are shown in the table below PLS HELP QUICK
Answer:
I think it's 12
Step-by-step explanation: i'm sorry if you got it wrong have the same question to.... sorry
Answer:
it is 12
Step-by-step explanation:
What is the slope on this graph
Answer:
Zero slope
Step-by-step explanation:
the line is horizontal on the y axis, so it has a zero slope
and because
i aint never seen two pretty best friends, its always one of em gotta be ugly
Someone wanted this for an assignment so here's the answer...
Corresponding Angles!
Answer:
need my points
Step-by-step explanation:
A pitcher can hold 5.2 liters of water. How many 0.4 liter glasses of water can be poured from the pitcher?
10
11
13
5
Please help me !!!! ASAP
Answer:
the slope is 3/2
Step-by-step explanation:
(x1,y1)= (2,7)
(x2,y2)= (4,10)
slope=
[tex] \frac{y2 - y1}{x2 - x1} = \frac{10 - 7}{4 - 2} = \frac{3}{2} [/tex]
0.3x-2.4=1.25x
How to solve
Answer:
hi
Step-by-step explanation:
0
.
3
−
2
.
4
=
1
.
2
5
0.3x-2.4=1.25x
0.3x−2.4=1.25x
3
1
0
−
2
.
4
=
1
.
2
5
Answer:
x = -2.52631578
Step-by-step explanation:
Combine multiplied terms into a single fraction.
0.3x - 2.4 = 12.5x
3x/10 - 2.4= 1.25x
Again, combine multiplied terms into a single fraction.
3x/10 - 2.4= 1.25x
3x/10 - 2.4 = 5x/4
Add 2.4 to both sides of the equation
3x/10 - 2.4 = 5x/4
3x/10 - 2.4 + 2.4 = 5x/4 + 2.4
Simplify (Add the numbers)
3x/10 = 5x/4 + 2.4
Multiply all terms by the same value to eliminate fraction denominators.
3x/10 = 5x/4 + 2.4
2 x 2 x 5 x 3x/10 = 2 x 2 x 5(5x/4 +2.4)
Therefor, x = 2.52631578
Hope this helps, have a great day! :)
FIRST TO ANSWER WITH IT CORRECT GETS 50 POINTS AND A BRAINLIST THING
Answer:
2. 36
3. 8
4. 64 - 32
5. 7
I hope that this helps you, I'm not sure if number 4 is correct, but I am 100% sure that the rest are correct. I did the math for all of the questions and they should all be correct. I hope you have a wonderful evening!
Four friend do yard work for their neighbors over the weekend earning $15, &20, and $40, respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $40 give to the others?
Answer:
$10 each
Step-by-step explanation:
There are four friends
Friend 1 = $15
Friend 2 = $20
Friend 3 = $40
Friend 4 = unknown
NOTE;
You didn't provide the earnings of the fourth friend is not given BUT the question can be solved without knowing the earnings of the fourth friend
The four friends decide to split their earnings equally among themselves
how much will the friend who earned $40 give to the others?
Amount given to others = $40 / 4
= $10
The friend who earned $40 will give $10 each to the others
Write each phrase as an expression. 8 increased by a number x
Answer:
8x (i think is the answer)
Step-by-step explanation:
because the starting number is 8
and is being multiplied by unknown number (x)
how to write this numbers in word 89.04
Answer:
eighty-nine point zero four
Step-by-step explanation:
Answer:
u mean 89.04 = eighty-nine point zero four?
Step-by-step explanation:
can somebody please help me on these questions ASAP , I appreciate it so much :)
I need help please
Answer:
1, 2
Step-by-step explanation:
An easy way to find the solution to a system of linear equations is to just replace it with x and y.
1, 2
1+2=3(x+y+3)
2+10=12(2x+5y=12)
Answer:
(1,2)
it's correct answer....be sure it's correct
A group of hikers walks 3 miles east and then 1 mile north. After taking a break, they then hike 4 miles east to their final destination. What vector describes their hike from their starting position to their final destination? Let 1 unit represent 1 mile. The vector that describes their hike from their starting position to their final destination is
Answer:
The vector that describes their hike from their starting position to their final destination is [tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex].
Step-by-step explanation:
In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:
(i) A group of hikers walks 3 miles east and then 1 mile north:
[tex]\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex]
(ii) After taking a break, they then hike 4 miles east to their final destination:
[tex]\vec r_{B} = 4\,\hat{i}\,\,\,[mi][/tex]
The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:
[tex]\vec r = \vec r_{A}+\vec r_{B}[/tex] (1)
[tex]\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi][/tex]
[tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex]
The vector that describes their hike from their starting position to their final destination is [tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex].
m+4/3=r solve for m
Answer:
m=r-4/3
Step-by-step explanation:
Put 4/3 on the other side of the equals sign and change the sign
Hope this helped, Have a Great Day!!
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]m + \frac{4}{3} = r \\ [/tex]
Subtract sides - 4 / 3
[tex]m + \frac{4}{3} - \frac{4}{3} = r - \frac{4}{3} \\ [/tex]
[tex]m = r - \frac{4}{3} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The term GLOBAL ETHIC refers to a set of common moral values and ethical standards which are shared by the different faiths and cultures on Earth.
These common moral values and ethical standards constitute a humane ethic, or, the ethic of humanity. In view of the process of globalization this ethic of humanity has been termed by the famous Roman Catholic theologian and philosopher Professor Hans Küng as the “GLOBAL ETHIC”.
Although the concept of a GLOBAL ETHIC was at first introduced by Professor Hans Küng in 1989 it is, in his own words, “not a new invention but only a new discovery” of common principles which are as old as humankind.
There can be no doubt that a globalizing world with its tremendous social, ecological and moral problems needs a globalization of moral values and ethical standards, in short: a GLOBAL ETHIC, in order to survive as a place where our grandchildren and great-grandchildren can live a decent life.
CAN ANY ONE HELP ME GET 5 BRAINIEST
Answer:
Hey josh I am queen this is my new account hope u r ok and safe please why don’t u talk to me please josh
Step-by-step explanation:
I still love you josh I love you more then anything u will be in heart forever even tho u love country girl but I don’t care
I swear I am crying right now
A punch bowl contained 2 liters of soda, 1 liter of orange juice,
and 1 liter of raspberry juice.
Select the statements that are true.
The ratio of the entire punch bowl to the juices is 2 to 4.
The ratio of the orange juice to the raspberry juice is 1 to 1.
The ratio of the entire punch bowl to soda is 4 to 2.
The ratio of soda to the entire punch bowl is 1 to 4.
The ratio of orange juice to soda is 2 to 1.
Answer:
The ratio of the orange juice to the raspberry juice is 1 to 1.
The ratio of the entire punch bowl to soda is 4 to 2.
х
у
-3
0
-2
-5
-1
-25
0
-60
1
-110
2
-60
3
-25
4
-5
5
0
Answer:
um how do i know what belongs on x side and Y side
Step-by-step explanation:
need a picture
9. If mZP is three less than twice the measure of ZQ, and ZP and ZQ are supplementary
angles, find each angle measure.
Answer: ZQ=61, ZP=119
Step-by-step explanation: knowing that these angles are supplementary, you can set up an equation using x. Angle ZP is 2x-3, and angle ZQ is x. Together they add up to 180. So 2x-3+x=180. 183=3x. X=61.
Find the slope, please.!!!!!!!!!!!!!!!!!
Answer:
I think it's one.
Step-by-step explanation:
I took this two year ago.
Answer:
the slope is 1
Step-by-step explanation:
up one over one aka 1/1 = 1