Answer:
The formula for the nth term of the sequence is:
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Step-by-step explanation:
Given the sequence
6, -6, 6, -6
A geometric sequence has a constant ratio r and is defined by
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Computing the ratios of all the terms of the adjacent terms
[tex]\frac{-6}{6}=-1,\:\quad \frac{6}{-6}=-1,\:\quad \frac{-6}{6}=-1[/tex]
The ratio of all the adjacent terms is the same and equal
so
r = -1
so substituting r = -1 and [tex]a_1=6[/tex] in the geometric sequence
[tex]a_n=a_1\cdot r^{n-1}[/tex]
[tex]a_n=6\left(-1\right)^{n-1}[/tex]
Thus, the formula for the nth term of the sequence is:
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Suppose Lin labels the books at a constant speed of s books per minute. There can be several equations written that represent the relationship between her labeling speed and the number of minutes it would take her to finish labeling. Complete the equation below: m = _________ where m is the number of minutes and s is the speed in books per minute.
Answer:
[tex]S = \frac{b}{m}[/tex]
Step-by-step explanation:
Given
[tex]Speed = s[/tex]
Required
Determine the expression for s
The speed is calculated as:
[tex]Speed = \frac{Number\ of\ books}{Time}[/tex]
Substitute S for speed
[tex]S= \frac{Number\ of\ books}{Time}[/tex]
Let the number of books be b and the time be m.
The expression becomes
[tex]S = \frac{b}{m}[/tex]
Hence, the expression for the scenario is:
[tex]S = \frac{b}{m}[/tex]
What is the slope of the line perpendicular to the line whose equation is: y=2/3x+6
Answer:
Step-by-step explanation:
-3/2x
opposite reciprocal of 2/3 would be -3/2
hope this helps <3
A company produces two different sizes of soup cans. The volume of the cans varies jointly with the square of the can's radius and the height. The smaller can has a height of 5 inches, a squared radius of 4 inches, and a volume of about 62.8 cubic inches. What is the volume of the taller can, which has a height of 9 inches and a squared radius of 4 inches? Round to the nearest tenth, as needed.
A. V=113.0
B. V=36.0
C. V=3.1
D. 91.3
Answer:
A. V= 113 in³Step-by-step explanation:
Volume formula will be:
V = kr²h,where V - volume, k - coefficient of proportion, r² - squared radius, h - height
Substitute the known values to find the unknown:
62.8 = k*4*562.8 = 20kk = 62.8/20k = 3.14Now find the volume of the taller can:
V = kr²hV = 3.14*4*9 = 113.04 ≈ 113 in³Correct option is A
A=113.0
Hope it helps guys!! :)
Which of the following is not a rational number?
Answer:b
Step-by-step explanation:
did it and get your answer
Find the slope plssss
Answer:
5/2
Step-by-step explanation:
Answer:
The slope of this line is - 5/2.
Step-by-step explanation:
In order to get from one red dot to another, you must go up 5 and to the left 2, because we are going left instead of right, the slope is negative. It doesn't matter which number you assign the negative sign. The entire formula for the line is y=- 5/2x - 3
Factor to find the zeros of the function:
y = 8x2 + 8x - 96
-0)
A)
x = 4 or x = 3
B)
X = -4 or x = 3
X = 4 or x = -3
D)
x = -4 or x = -3
Step-by-step explanation:
y = 8x² + 8x - 96
y = 8(x² + x - 12)
y = 8(x + 4)(x - 3)
When y = 0, 8(x + 4)(x - 3) = 0.
=> x = -4 or x = 3. (B)
what is the slope (2,-9) (-2,3)
Answer:
-3
Step-by-step explanation:
-12/4=-3
I got -12 but subtracting two y values, and got 4 by subtracting two x values.
Formula to find slope is= change of y/ change of x=
-12/4= 3
Answer:
[tex]\displaystyle m=-3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (2, -9)
Point (-2, 3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{3+9}{-2-2}[/tex][Frac] Add/Subtract: [tex]\displaystyle m=\frac{12}{-4}[/tex][Frac] Divide: [tex]\displaystyle m=-3[/tex]Need help please? Thank you so much
Here is a list of numbers: 9, 7, 19, 2, 5, 6, 5 ,14 ,3 State the median.
Answer:
6
Step-by-step explanation:
Arrange the items in ascending order
2 , 3 , 5 , 5 , 6 , 7 , 9 , 14 , 19
Median = middle term = (n+1)/2 = (9 + 1)/2 = 10/2 = 5th term
= 6
please help!!!!!!
hannah spends 20% of her money on sweets and 32% on fares. if she spent $8 on sweets what is:
(1) the amount of money she originally had?
(2) the amount of money spent on fares?
(3) the amount she has left?
Answer:
1) $40
2) $12.80
3) $19.20
Step-by-step explanation:
(a) find: 8 is 20% of what number
use proportion: is = percent
of 100
is = 8
of = what you're solving for, let's say 'x'
20% = 20/100
8 = 20
x 100
cross-multiply: 20x = 800
x = 40
(b) money spent on fares: 32% of 40 is what number?
32 = y
100 40
1280 = 100y
y = 12.80
3) 40 - (8.0 + 12.80) = 40 - 20.8 = 19.20
Find the LCD of the given rational equation:
х
X+4
X-1
+
x + 2
3
x2+2x-8
Answer:(x+4)(x+2)(x-2)
Step-by-step explanation:
Standardized tests for certain subjects, given to high school students, are scored on a scale of 1 to 5. Let X represent the score on a randomly selected exam. The distribution of scores for one subject’s standardized test is given in the table.
A 2-column table with 5 rows. Column 1 is labeled score with entries 1, 2, 3, 4, 5. Column 2 is labeled probability with entries 0.18, 0.20, 0.26, 0.21, 0.15.
What is the mean of the distribution?
2.5
2.95
3
3.5
Answer:
The center for the distribution of scores appears to be higher for subject B than for subject A.
The mean of the distribution when X represent the score on a randomly selected exam so here the mean be like 2.95.
Calculation of the mean:Since
Column 1 is labeled score with entries 1, 2, 3, 4, 5.
Column 2 is labeled probability with entries 0.18, 0.20, 0.26, 0.21, 0.15.
So it be like
= (0.18) (1) + (0.20) (2) + (0.26) (3) + (0.21) (4) + (0.15) (5)
= 0.18 + 0.40 + 0.78 + 0.84 + 0.75
= 2.95
Hence, the third option is correct.
Learn more about mean here; https://brainly.com/question/16616666
80% of 35
PLZ ANSWER
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
80% × 35 =
(80 ÷ 100) × 35 =
(80 × 35) ÷ 100 =
2,800 ÷ 100 =
28
hope this helps
rajnish mother is 36 year old she is 6 year older than three times raju's age write an equation to find Raju age (take rajnish age to be a n year)
Mother is 36
and she is 6 year older than raju 3 times
N is rajiu age
N = 36÷ ( 6 x 3)
= 36 ÷ (18)
N = 2
Raju is 2 years old
In which situation could the quotient of -36 ÷ 3 be used to answer the question?
A The balloon rose 36 feet every second. How many feet did the balloon rise in 3 seconds?
B Lidia took $36tomatoes off of her tomato plants over $3days. How much did the amount of tomatoes on her tomato plants change each day?
C In a soccer game there are 3 goals in 36 minutes. What is the rate of goals scored?
D There are 36 apples in a bag. 3 apples are eaten. How many apples are left?
Answer:
B, because of the signal word "took"! :)
find the length of the longest straight line that can be drawn on a paper of size 3cm × 4cm
Answer:
5cm
Step-by-step explanation:
we have to find the diagonal using Pythagoras theorem.
a² + b² = c²
3² is 9
4² is 16
9 + 16 = 25
√25 is 5cm
2x-7=13 what is does x stand for?
Answer:
x=10
Step-by-step explanation:
2x-7=13
13+7=20
20/2=10
lets see if it works:
2(10)-7-13
20-7=13
it works! which means is 10
please mark me as brainliest!!<3
Factored form: f(x) = (x+1)^2(3x+5)^2(x-2)
What is this equation in standard form.
Answer:
[tex]9x^{5}+30x^{4}-2x^{3}-108x^{2}-135x-50[/tex]
Step-by-step explanation:
see below, if you have any questions leave a comment
Poss
6.
write four negative integre
negative integre less than -20.
Answer:
-21, -22, -23, & -24
Step-by-step explanation:
on the number line, the to the left, the smaller the value.
Plz help due tomorrow
Answer:
-8.5n+7.9
Step-by-step explanation:
Hi again
hi someone help meee
Write the slope-intercept form of the equation of the line through the given points: (-2,13) and (4,1)
Answer: y = -2x + 9
Step-by-step explanation:
Points through which the line passes through are: (-2,13) and (4,1)
The slop intercept form will be in terms of:
y = mx + c
Find m first which is the slope:
= (Y₂ - Y₁) / (X₂ - X₁)
= (1 - 13) / (4 - (-2))
= -12 / 6
= -2
Using a point on the line and the slope, calculate c which is the y intercept:
Using point (-2,13) :
y = mx + c
13 = -2 * -2 + c
13 = 4 + c
c = 13 - 4
c = 9
Slope intercept form of line is therefore:
y = -2x + 9
David purchased these school supplies: 5 notebooks for $1.29 each 2 pens for $1.19 each 12 pencils for $0.05 each 6 erasers for $0.15 each How much change should David receive from $20?
Answer:
The answer is $9.67.
Step-by-step explanation:
Notebooks: 5 * 1.29 = 6.45
Pens: 2 * 1.19 = 2.38
Pencils: 12 * 0.05 = 0.60
Erasers: 6 * 0.15 = 0.90
Total: 6.45 + 2.38 + 0.60 + 0.90 = 10.33
Change: 20 - 10.33 = 9.67
MARK BRAINLIEST!!!
A teacher has two daughters that are now older. But when they were little, they had a lot of toys! They had about 100 more frozen toys than mermaid toys (which we'll call r for "regular")Which expression shows how many Frozen toys they had?
r+100
100
r-100
100r
Answer:
r-100
Step-by-step explanation:
R-100 R-100 R-100
A rectangular prism has a length of 13 meters, a height of 18 meters, and a width of 5 meters.
What is its volume, in cubic meters?
Answer:
1170 m^3
Step-by-step explanation:
Just compute 13x18x5. The formula for volume of a rectangular prism is length times width times height.
What division problem does the model show? (Giving Brainliest To Whoever Answers Good)
(Look at picture)
Answer:
18÷18÷18
=0.05555555555
What is the distance between the points (2,3) and (5,-4)
6.3 units
3.7 units
10 units
7.6 units
i need help in math .....
imma do them bottom questions
If she paid the store $67.50 (USD) and the membership is 20$ take that 20 and add 2.50 onto it till you get the answer BUT if you want to explain it all the way each month has about 30 days in it so 30x3=90 so she was there for 90 days. 90x$2.50=225 but we all know, she couldn't have rented that many... right? but the final answer is 19, you take 20 from 67.50 which was the membership and all you have to do is fill in that missing amount so take 2.50 and multiply till you get the answer.
answer 19 videos
help please jesus loves you
Answer:
6000 grams / sec
Step-by-step explanation:
1 kg = 1000 grams
1 min = 60 sec
360 kg (1000grams/1 kg) = 360000grams
360000 grams/min (1 min/ 60sec) = 6000 grams / sec
I WILL MARK YOU BRAINLEST The graph below shows the number of calories burned while riding a bicycle.
Calories Burned Bike Riding
Calories Burned
Minutes of warcie
At what rate are calories burned by bike riding?
o A. 0.25 calories per minute
B. 0.8 calories per minute
OC. 4 calories per minute
OD. 10 calories per minute
Answer:
c 4 cal per minute
Step-by-step explanation:
because they burn 40 cal per 10 min and 40÷10 is 4 so 4 cal per 1 min