Answer:
[tex]a_{n}[/tex] = 3 - n
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
1 - 2 = 0 - 1 = - 1 - 0 = - 1
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 1 , thus
[tex]a_{n}[/tex] = 2 - 1(n - 1) = 2 - n + 1 = 3 - n
A scientist needs 10 liters of a 20% acid solution for an experiment, but she only has a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and 40% solutions should she mix to get the solution she needs?
9514 1404 393
Answer:
4.3 L of 40% solution5.7 L of 5% solutionStep-by-step explanation:
Let x represent the number of liters of 40% solution in the mix. Then the total amount of acid in the mix is ...
0.40x +0.05(10-x) = 0.20(10)
0.35x +0.5 = 2.0
0.35x = 1.5
x = 1.5/0.35 ≈ 4.3 . . . . liters of 40% solution
10-x = 10 -4.3 = 5.7 . . .liters of 5% solution
Which of following BEST defines climate?
Answer:
climate is the weather in a part of the world.
Answer:
Try C: Average weather conditions of a region over the long term
Hope this helps!
What is the prime factorization of 312
A.) 2 x 2 x 2 x 3 x 13
B.) 2 x 2 x 3 x 51
C.) 2 x 2 x 3 x 3 x 17
D.) 2 x 2 x 2 x 9 x 51
Answer:
A.) 2 x 2 x 2 x 3 x 13
Step-by-step explanation:
here is the factor tree for 312
Hope this helps! :)
NEED HELP ASAP 10 POINTS BRAINLY IF CORRECT
Answer:
can u just post a question pls
Help me plz!!!!!!!!!!!!!!!
Answer:
$2.40
Step-by-step explanation:
sales tax = 30 * .08 = $2.40
help plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
Step-by-step explanation:
yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeet
What are the Slope and the Equation of the Image?
Answer:
slope is 4
y=4x+1
Step-by-step explanation:
slope equation is (y2-y1)/(x2-x1)so ((13-5)/(3-1))=4my precalculus taught us to solve for the equation by doing y1=m(x1)+b or y2=m(x2)+bso I did 5=1(4)+b 5=4+b b=1linear equation is y=mx+bso y=4x+1Ingrid's curtain company is making curtains for a local hotel. She wants each curtain to be 36 inches long. At the fabric store, fabric is sold by the foot. If Ingrid's curtain company wants to make 64 curtains, how many feet of fabric will she need? 1 inch = 1 12 foot I just don't get it
Answer:
192 ft
Step-by-step explanation:
Number of curtains = 64
Length of each curtains = 36 inches
Total length of curtains = Number of curtains × Length of each curtains
= 64 × 36 inches
= 2,304 inches
1 inch = 1/12 foot
2,304 inches = 2,304 / 12 ft
2,304 inches = 192 ft
She will need 192 ft of the fabric to make 64 curtains each of length 36 inches
Compare these data sets. The equation of the trend line
is listed below each data set.
LS
HR
w
200 93
158 94
149 66
146 81
138 86
137 75
131 61
116 69
103 55
y = 0.39x + 20.23
R
W
808 93
768 94
655 66
684 81
637 86
619 75
613 61
609 69
563 55
y = 0.15x-23.2
Which statements are true about these data sets?
Check all that apply.
Both sets have negative correlation.
Both sets have positive correlation.
There is no correlation between the sets.
The Runs set has a greater rate of change than the
Home Runs set.
The Home Runs set has a greater rate of change
than the Runs set.
Done
Intro
Answer:
The answer is B&E
Step-by-step explanation:
(e is the last one i made a mistake so yea :)
Answer:
the correct answers are B and E.
Step-by-step explanation:
B) Both sets have positive correlation.
E) The Home Runs set has a greater rate of change than the Runs set.
~you're welcome~
what is 2.2 * 5.1 what is the answer
Answer:
11.22 is the answer thank you
Answer:
11.22
Step-by-step explanation:
If Kiontre reads 100 pages in 5 days, how many pages does he read in 1 day?
Answer: 20 pages
Step-by-step explanation: 100/5 is 20
Answer:
20 pages
Step-by-step explanation:
5x + 6y =200
Solve the equation
Answer:
x=40-6/5y
Step-by-step explanation:
5x=200-6y
x=40-6/5y
The lengths of two coasters are the ratio 3:20. The length of the short roller coaster Is 360m. What is the length of the longer roller coaster? Give your answer in kilometres
Answer:
2400KM hope this helps sorry if im
wrong
im not good with ratios and unit conversion
Which of the following properly describe "slope"? Select all that apply.
2279
Y
run / rise
rise / run
ratio of the change in y-values (rise) for a segment of the graph to the corresponding change in x-values (run)
Answer:
The answer is A, D, and E. The first answer and then the last two.
Step-by-step explanation:
The first answer and then the last two.
12 ÷ –2 = PLEASE HELP ME I NEED HELP FAST
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
Write the equation of the line that is perpendicular to the line y=(-1/5)x+9 and passes through the point (-2,-2)
Answer:
y = 5x + 8
Step-by-step explanation:
Recall that if two lines are perpendicular, their slopes are negative reciprocals of one another. Thus, given y = (-1/5)x + 9, the slope of any perpendicular is
-1
m = --------- = 5
(-1/5)
Starting out with the slope-intercept equation y = mx + b, we get:
-2 = 5(-2) + C, or C = 8
Thus, the desired equation is
y = 5x + 8
The equation of the line that is perpendicular to the given line is y=5x+8.
Given that, the equation of line y=(-1/5)x+9 and passes through the point (-2,-2).
What is slope of an equation?The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.
If m is the slope of a line, then the slope of a line perpendicular to it is -1/m.
Now, slope =-1/5
-1/m = 5
Put m=5 and the point (-2, -2) in y=mx+c and simplify
That is, -2=5(-2)+c
⇒c=8
Substitute m=5 and c=8 in y=mx+c, we get y=5x+8
Therefore, the equation of the line that is perpendicular to the given line is y=5x+8.
To learn more about the slope visit:
https://brainly.com/question/12861818.
#SPJ2
Please help this is due today. I will give brainliest
Answer46789
Step-by-step explanation:
Answer:
35 40 45 50
Step-by-step explanation:
0 minutes is 35 cause of the monthly bill then naxt is 40 because the bill but plus 100 minutes so add five just keep adding five
Josh has some nickels. He says they are worth exactly 33 cents. Can you tell if Josh is correct or not?
Why or why not?
Answer: Josh is incorrect because nickels are worth 5 cents each and 33 can not be divided by 5 exactly.
The line has been partitioned into three angles. Is there a triangle with these three angle measures? The degrees are 39,42,99 Please help quick!!!!!!!!!!
Answer:
yes it is
Step-by-step explanation:
a triangles measures are supposed to add up to 180, since 39+42+99=180 then its a traingle
Brainliest?
Yes, there is a triangle with these three angles measuring 39°, 42°, and 99°.
Given,
The line has been partitioned into three angles.
Is there a triangle with these three angle measures?
The degrees are 39,42,99.
What is the sum of angles in a triangle?The sum of the angles in a triangle is 180 degrees.
The sum of all the angles in a straight angle is 180 degrees.
We have,
39°, 42°, and 99°.
The sum of the angles is:
= 39 + 42 + 99
= 180 °
The sum of the angles in a triangle is 180 degrees.
Thus,
Yes, there is a triangle with these three angles measuring 39°, 42°, and 99°.
Learn more about angles in a triangle here:
https://brainly.com/question/27682397
#SPJ2
Pleas help me complete this question
The answer should be —-students
Answer:
1.1 × 10^ 4
Step-by-step explanation:
Answer:
2.7*10^4 - 3.7*10^3
=10^3[2.7*10-3.7]
=10^3 [27-3.7]
=10^3 *23.3
=2.33*10^4
Hope this helps!!
Write the linear equation in slope-intercept form and simplify.
5x – 3y = -19
Answer:
y = 5/ 3 x + 19/ 3
Step-by-step explanation:
Slope-intercept form, y = m x + b .
Answer:
y=5/3x+6 1/3
Step-by-step explanation:
To get into y-intercept form you need to get y alone...
5x-3y=-19 subtract the 5x
-3y=-5x-19 divide by -3
y=5/3x+19/3 simplify
y=5/3x+6 1/3
The midpoint M of GH has coordinates (7,6). Point H has coordinates (8, 7). Find the
coordinates of point G.
Write the coordinates as decimals or integers.
Which expression is not equivalent to -3-1/2+4y
Answer:-2x-1/2+6y+3x
Step-by-step explanation:
I just got it right no cap
what is y = |x + 4| − 8 reflected over the y axis then translated 2 units down
Answer: y = |x - 4| − 10
Step-by-step explanation: Reflection over the y-axis switched the first sign and -2 was added to -8 due to the translation 2 units down.
Hope this helps!
tres amigos reunieron su dinero para comprar un boleto de 250.00 para una rifa. Lui aporto 50.00, Jaime 125.00 y Rosa 75.00, tuvieron suerte y ganaron un premio de 200.00 entre todos decidieron que las cantidades que les corresponde fueran proporcionales a lo que dieron para comprar el boleto. Cuanto recibió cada uno?
Answer:
asd
Step-by-step explanation:
Which equation represents a line which is parallel to the line 7x-5y=-30?
Answer:
Y=7/5x+8
Is the answer to question don't ask me how I know I cheated
The equation y = 7x/5 + b represents a line which is parallel to the line 7x-5y=-30.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
We have an equation,
7x-5y=-30
Simplifying,
y = 7x/5 + 30/5
y = 7x/5 + 6.
The general formula of line parallel to a given line is,
y = 7x/5 + b, where b is the y-intercept of the line.
Therefore, y = 7x/5 + b is the required line.
To learn more about the slope;
brainly.com/question/3605446
#SPJ2
PLEASE HELP PLEASE LIKE NOWWW!!!!!! Which set of numbers is ordered from greatest to smallest?
A
11 2
38 %,
20' 5,0.6
B. O 0.6
11 2
205
38 %
CO
0.6,
2 11
5' 20
38 %
D
38 %
2 11
5. 20
0.6
Answer:
reword your question i cant read it
Step-by-step explanation:
Determine whether the relation is a function.
H={(6,-3), (5,-3), (4,-3), (3,-3), (2,-3)}
Does the given relation represent a function?
Yes
No
Answer:
Yes
Step-by-step explanation:
In a function, an x value can never repeat. This is basically the only rule (that I know of), so, the given values can represent a function.
36 - (- 4) + 5 + (- 10) =
Answer:-370
Step-by-step explanation:
Answer: 35
Step-by-step explanation: 36−(−4)+5−10 =40+5−10
45-10=35 :) hope this helps!
which is the greatest among root 2, 3 root 4 and 4 root 3?
Answer:
4^1/3 is greatest among the given
Step-by-step explanation:
√2 , 4^1/3 , 3^1/4
Find the LCM of 2, 3 , 4= 12
i ) √2 =2^1/2 = 2^6/12=(2^6)^1/12
= (64)^1/12
ii ) 4^1/3 = 4^4/12 = (4^4)^1/12
= (256)1/12
iii )3^1/4 = 3^3/12 = ( 3³ )^1/12
= (27)^1/12
Therefore ,
(256)^1/12 > (64)^1/12 > (27)^1/12
4^1/3 > 2^1/2 > 3^1/4
4^1/3 is greatest among the given
number