write an explicit formula for the a_(n), the nth term of the sequence 27,21,15
Answers
Answer:
33-6n
Step-by-step explanation:
Related Questions
A rectangular room measures 21 feet by 28 feet with a 10-foot-high ceiling. The flooring is being replaced with carpeting that sells for $10.45 per square foot and entails a $149 installation fee. What is the total pricing for the carpeting with an 8.0% sales tax
Answers
9514 1404 393
Answer:
$6,797.09
Step-by-step explanation:
The area of the floor is ...
(21 ft)(28 ft) = 588 ft²
Then the cost of the carpet material is ...
(588 ft²)($10.45/ft²) = $6,144.60
The subtotal with installation fee is ...
$6,144.60 +149.00 = $6,293.60
Adding the sales tax multiplies this amount by 1 +8% = 1.08, so the final price is ...
1.08 × $6,293.60 = $6,797.09 . . . total price
If line q has a slope of -3/8, what is the slope of any line perpendicular to to q?
Answers
Answer:
The slope of line perpendicular to line q is 8/3.
Step-by-step explanation:
Given that:
Slope of a line q is -3/8
Slope is the steepness of any line.
Let,
x be the slope of line perpendicular to line q.
The product of slopes of two perpendicular lines is equal to -1.
[tex]\frac{-3}{8}x = -1[/tex]
Multiplying both sides -8/3
[tex]\frac{-8}{3}*\frac{-3}{8}x=-1*\frac{-8}{3}[/tex]
x = 8/3
Hence,
The slope of line perpendicular to line q is 8/3.
A man walks five miles east, and then walks five miles west. What is the total distance from his starting point?
Answers
Answer:
0 miles
Explanation:
Step 1) -----> 5 miles west
Step 2) <----- 5 miles east
So in conclusion I think that the man came back to where he started.
Compass:
N
W E
S
Answer:
15 miles.
Step-by-step explanation:
5 + 10 = 15
5 represents the fact that he walked 5 miles east, and then if he were to walk from there towards the west, that would be 10 miles because if its 5 miles from his starting point to the east, then it would be double from the east to the west so if you add 5 miles and 10 miles, you should get a total of 15 miles.
I hope this helps you :D
Consider the system of liner equations 2y=X+10
3y=3x+15
Answers
By definition, the determinant equals ad - bc. What is the value of when x = -2 and y = 3? I NEED HELP PLEASE
Answers
Answer:
B. -84Step-by-step explanation:
Taking the determinant of the matrices we will have;
= 4x(5y) - 2x(3y)
= 20xy - 6xy
= 14xy
Given x = -2 and y = 3
Determinant = 14(-2)(3)
Determinant = -28*3
Determinant = -84
Verbally describe what each ordered pair in the first row of your table (when s = 10) means in terms of the situation. Use complete sentences in your answer.
Answers
The description of what each ordered pair means is; as described below
How to interpret Ordered Pairs?The table is missing but from online sources, we can say the following;
An ordered pair such as (2,4), is a short form of writing two variables, such as x = 2 and y = 4. The order of the numbers in the pair is important because x always comes before y.
An ordered pair is simply a composition of the x coordinate called abscissa while the y coordinate is called the ordinate.
Thus, the Ordered Pair is (x,y)
Where,
x is the distance measure of a point from the primary axis "x"
y is the distance measure of a point from the secondary axis "y"
In the Cartesian plane, the point where the two lines meet at “0” is the origin.
Read more about Ordered Pairs at; https://brainly.com/question/1528681
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Divide: 8a^8–20a^6 +2a^4/
4a^3
Answers
Answer:
This comes out as 2a⁵ - 5a³ + a / 2
Step-by-step explanation:
We could use long division for this but since the denominator is a single term, we can just divide each term by that individually
[tex]\frac{8a^8 - 20a^6 + 2a^4}{4a^3} \\\\= \frac{8a^8}{4a^3} - \frac{20a^6}{4a^3} + \frac{ 2a^4}{4a^3} \\\\= 2a^5 - 5a^3 + \frac{1}{2}a[/tex]
Simplify.
91-^ + 6-^
Answers
t - 2/3 = 5/6 pls help
6th grade
Answers
Answer:
t =3/2 im in 7th ;)
rearrange p=s+dgh ??????????
Answers
Alphonsus went shopping for new school clothes. He bought 4 t-shirts and 3 pairs of pants. How many different outfits can Alphonsus put together with his new clothes?
Answers
Answer:
I think he can do 12 outfits.
Step-by-step explanation:
I hope this helps. Sorry if I am wrong, I am not the greatest at math.
The different outfits that Alphonsus can put together with his new clothes will be 12.
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Alphonsus who went for shopping for new school clothes. He bought 4 t - shirts and 3 pairs of pants.
Assume that the different outfits that Alphonsus can put together with his new clothes be [x].
[x] = 4 x 3 = 12
[x] = 12
Therefore, the different outfits that Alphonsus can put together with his new clothes will be 12.
To solve more questions on functions, expressions and equation modelling, visit the link below -
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A water pipe is 4 7/12 feet beneath the surface of the road. What is the elevation of the pipe, in feet, expressed as a decimal?
Answers
Answer:
4.5833feet
Step-by-step explanation:
Given the elevation of a water pipe as 4 7/12 feet
Expressing as decimal
4 7/12
= 4 + 7/12
= 4 + 0.5833
= 4.5833
Hence the elevation of the pipe expressed as a decimal is 4.5833feet
how earth and venus the same?
Answers
Answer:
Venus is often named as Earth's twin because both worlds share a similar size, surface composition and have an atmosphere with a complex weather system. ... Both planets have almost the same size and density and Venus is only a 30% closer to the Sun than Earth.
Step-by-step explanation:
kxkcxn jxn. jxk. kx. xnx xn n nxnksj dxcnxc. x jxnn.
Your car can drive 320 miles on a tank of 31 gallons. How many gallons are needed to drive 1,070 miles?
Answers
Answer:
104 gallons
Step-by-step explanation:
320/31=10.323 miles per gallon
1070/10.323=103.66 <---round to whole number
104 gallons needed
please help asap!!!!
Answers
Answer:
7 units
Step-by-step explanation:
What is the least number n with the property that, in every group of n people, there are at least three people who are all friends
Answers
Answer:
hello your question is incomplete attached below is a the complete question
answer : n = 5
Step-by-step explanation:
lets consider N to be 5
To prove that the least number 'n' = 5
we will represent this information in a graph as vertex
Black edge = Friends
Blue edge = not Friends
From the attached diagram any vertex contains 0,1,2,3,4 black lines and 4,3,2,1,0 blue lines
attached below is an explanation related to the choice of n = 5
considering n = 5 is satisfied by the explanation given
The diagram shows three squares that are joined at vertices to form a right triangle. Which statement is true?
A. The sum of the areas of Square N and Square L is equal to the area of Square K.
B. The sum of the areas of Square N and Square L is greater than the area of Square K.
C. The sum of the areas of Square N and Square K is equal to the area of Square L.
D. The sum of the areas of Square N and Square K is less than the area of Square L.
Answers
Answer:
its a the sum of the areas of Square N and Square L is equal to the area of Square K.
Step-by-step explanation:
one third of a number, w, reduced by 7?
Answers
Answer:
4
Step-by-step explanation:
Find the slope of the line that contains the pair of points.
(3, 4) and (4,1)
The slope is
Answers
Answer:
-3
Step-by-step explanation:
1-4/4-3 is -3/1 which is -3
Find the circumference of the given circle. Use 3.14 as an approximation of T.
(7in.)
A. 31.4in
B. 43.96in
C. 27in
D. 25in
Answers
Answer21.98
Step-by-step explanation:
A man wants to zipline from the top of a 20 meter building to an island 50 meters away. How long does the zipline wire need to be?
Answers
Answer:
50 meters
Step-by-step explanation:
the island is 50 meters away
Answer:
About 54 meters or 53.8 meters
Step-by-step explanation:
Pythagorean theorem a^2+b^2=c^2
20^2+50^2=53.8^2
A surveyor has taken- if you know this please help
Answers
Step-by-step explanation:
the distance is equal to... 800²+700²-2×800×700×cos70=733,4
Christopher picks a marble at random. without putting the first marble back, he picks a second marble at random. is it independent or dependent
Answers
Find the slope of the line that passes through the points (1,-5) and (5. 7).
Answers
Answer:
y= 5.7x-10.7
Step-by-step explanation:
the formula is y=mx+b
gradient formula
Using the formula
M=y2–y1/X2–x1
Where (x1,y1) and (x2,y2) are 2 points
Let (x1,y1)=(1,-5) and (x2,y2)=(5,7)
M=(7-(-5)/(5–1)=7+5/4=3
M=3
This is another 2 step. Please be sure to answer the question fully and show all of your work! I don't like reporting people.
Answers
Answer:
JR = 29∠JLM = 25°Step-by-step explanation:
Diagonals of the parallelogram bisect each other
Note. The first question is repeated as A and B
A) KR = 1/2KM
Substitute and solve for x:
x + 7 = 1/2(3x - 5)2x + 14 = 3x - 53x - 2x = 14 + 5x = 19Find JR
JR = 1/2JL JR = 1/2(4x - 10) = 2x - 5 = 2*19 - 5 = 34 - 5 = 29B)
∠LJM ≅ ∠JLK as alternate interior angles∠JKL ≅ ∠JML as opposite angles of parallelogramInterior angles of the triangle sum to 180°:
m∠JLK + m∠LJK + m∠JKL = 180°m∠JLM = m∠JLK = 180° - (56° + 27° + 72°) = 25°Figure A is dilated by a scale factor of 1 to form Figure B.
What is the length of x?
4 inches
Figure A
Figure B
2 inches
16 inches
16 inches
8 inches
Answers
Answer:
C. 8 inchesStep-by-step explanation:
Note. The original question is attached.
Solution:
Scale factor is 1/2 and the corresponding side has a length of 16 inches.
The value of x is:
x = 1/2*16 = 8 inchesCorrect option is C
What is the point-slope form of a line with a slope -3 that contains the point (10,-1)
Answers
Here's the formula:
y - y1 = m(x - x1)
Substitute numbers accordingly:
y1: so 1 goes in the y1 spot (you switch the signs because it was already negative)
x1: and 10 goes to the x1 spot
m: -3 belongs in m
Help help help help help
Answers
I gotta take a big śhit
PLEASE HELP I’LL GIVE BRAINLIEST TO WHO EVER ANSWERS FIRST CORRECTLY
Use the rational zeros theorem to list all possible rational zeros of the following.
h(x)=-3x^4+5x^3-8x^2-3x+2
Be sure that no value in your list appears more than once.
Answers
Answer:
Step-by-step explanation:
[tex]h(x)=-3x^{4} +5x^{3}-8x^{2} -3x+2[/tex]
roots:±1, ±[tex]\frac{1}{3}[/tex], ±2, ±[tex]\frac{2}{3}[/tex]
Yesterday 170 guests at a hotel for room service, and 255 guests did not call for room service. What percentage of the guests at the hotel call for room service?
A - 60%
B - 15%
C - 40%
D - 85%
Answers
Answer: 40%
Step-by-step explanation:
170+255=425 total guests
170/425=0.4