The 10th, 4th and 1st term of an A.P are three consecutive find the common ratio of the G.P and the sum of the 6th term, taking the 1st term to be 4
Answer:
S_6 = 252
Step-by-step explanation:
We are told that the 10th, 4th and 1st term of an A.P are three consecutive terms of a G.P.
Now,formula for nth term of an AP is;
a_n = a + (n - 1)d
Thus;
a_10 = a + (10 - 1)d
a_10 = a + 9d
Also;
a_4 = a + (4 - 1)d
a_4 = a + 3d
First term is a.
Thus, since they are consecutive terms of a G.P, it means that;
(a + 9d)/(a + 3d) = (a + 3d)/a
Cross multiply to get;
a(a + 9d) = (a + 3d)(a + 3d)
a² + 9ad = a² + 6ad + 9d²
a² will cancel out to give;
9ad - 6ad = 9d²
3ad = 9d²
Divide both sides by 3d to get;
a = 3d
We are told that the first term is 4.
Thus, 4 = 3d
d = 4/3
We saw earlier that ratio of the GP is (a + 3d)/a
Thus; r = (4 + 3(4/3))/4 = 8/4 = 2
Sum of n terms of a G.P is given by;
S_n = a(rⁿ - 1)/(r - 1)
S_6 = 4(2^(6) - 1)/(2 - 1)
S_6 = 252
An object moves such that acceleration a(t)=2(1-3t). Given v(0)=-5 and x(0)=4, find x(1).
I know the answer is -1, just not too sure on how to get the work, thanks!
Answer:
x(1) = -1
Step-by-step explanation:
Given the equation for acceleration of the object as;
a(t)=2(1-3t)
a(t) = 2-6t
Integrate to get the velocity
v(t) = 2t-6t²/2 + C
v(t) = 2t-3t²+C
If v(0) = -5
when t = 0 v = -5
-5 = 2(0)-3(0)²+C
-5 = C
C = -5
v(t) = 2t-3t²-5
To get the displacement x(t), we will integrate the velocity function
x(t) = 2t²/2-3t³/3-5t+C
x(t) = t²-t³-5t+C
If x(0) = 4
At t = 0, x(t) = 4
4 = 0²-0³-5(0)+C
4 = C
C = 4
x(t) = t²-t³-5t+4
Get x(1)
x(1) = 1²-1³-5(1)+4
x(1) = 1-1-5+4
x(1) = -5+4
x(1) = -1
Hence x(1) = -1
Square root of -8 multiplied by the square root of -32
PLEASE HURRY Question 5 Multiple Choice Worth 4 points)
(06.01)A scatter plot is shown:
7
6
5
4
3
.
1
o
0 1
2
What type of association does the graph show between x and y?
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association
Answer:
linear positive association
Step-by-step explanation:
The scatter plot's are going at an upwards slant which makes it positive.
The type of correlation shown in the scatter plot is a linear positive correlation
What is correlation?Correlation is a statistical tool that is used to determine the relationship between two variables.
The types of correlation that we have are:
Positive correlationNegative ccorrelationZero or no correlationThe type of correlation shown in the scatter plot is a positive correlation since it moves upwards towards the positive side of the graph in a straight line
Learn more on correlation here: https://brainly.com/question/4219149
PLEASE HELP ME I BEG OF YOU
= d+5+d+5+d+5+d+5
= 4d+20
=4(d+5)
I hope this helps ♥☺️what unit for the capacity of a can of cola
Answer:
Recently, some 355 ml cans which are similar to North American cans are increasingly available, but are limited mostly to Coca-Cola and Dr Pepper, and beer cans are available in 500 ml.
Step-by-step explanation:
I hope that helps! -ibuki
Milliliters (ml)
Hope this helps!
Maybe brainliest?
What are the steps to solve 5x+7+3x-4=?
Answer:
x= -3 / 8
Step-by-step explanation:
5x+7+3x-4=0
Sum 5x and 3x
8x+7-4=0
Subtract 7-4
8x+3=0
Move the constant to the other side and change his symbol with his opposite
8x=-3
8 is multiplying x, the opposite of multiplying is dividing, so it divide the -3 (under it)
x= -3 / 8
Rohan makes $86,534.25 a year. How much will he pay in Social Security and Medicare taxes this year?
Social Security:
Medicare:
Answer:
porfavor en español pls para yo poder resolverlo
Answer:
6,619.87
Step-by-step explanation:
Social security: 86534.25 x .062. =5,365.12
medicare: 86534.25x .0145 =1,254.75
total paid: 5,365.12+1,254.75. =6,619.87
Find the perimeter of a square with diagonal 12 centimeters
Answer:
I wish i knew, watch a yt video x
Step-by-step explanation:
:)
HELP PLEASE!! WILL GIVE BRAINLIEST!!!
Answer:1/2
Step-by-step explanation:
2y 1x
Answer- -1/2
Detailed Explanation-
The slope is going down 1 and going over 2, so the slope is -1/2
Que numero es mayor que -5/4
Answer:
4 is greater than -5
Step-by-step explanation:
positive are greater than negative
A scale model of a sculpture has a scale of 2 : 49.
The height of the model is 24 cm.
Find the height of the actual sculpture.
Give your answer in m.
PLEASE HELP ASAP!
Answer:
24/2=12
12*49=588 cm
=5.88m
Step-by-step explanation:
Answer:
588 cm.
Step-by-step explanation:
2/49 = 24/h
2h = 24*49
h = 24*49 / 2
h = 588.
The figure below shows a line graph and two shaded triangles that are similar:
A line is shown on a coordinate grid. The x-axis values are from negative 15 to positive 15 in increments of 3 for each grid line. The y-axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 12, 4, and 0, 0, and 12, negative 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to 6, negative 2 labeled as A, one leg is from 0, 0 to 0, negative 2, and the second leg is from 0, negative 2 to 6, negative 2. Another shaded right triangle is formed with the hypotenuse from 6, negative 2 to 9, negative 3 labeled as B, one leg is from 6, negative 2 to 6, negative 3, and the second leg is from 6, negative 3 to 9, negative 3.
Which statement about the slope of the line is true? (1 point)
A. It is fraction negative 1 over 3 throughout the line.
B. It is −3 throughout the line.
C. The slope from point O to point A is fraction 1 over 3 times the slope of the line from point A to point B.
D. The slope from point O to point A is three times the slope of the line from point A to point B.
Answer:
C. The slope from point O to point A is fraction 1 over 3 times the slope of the line from point A to point B.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
What's ƒ(g(4)) if ƒ(x) = 3x2 – 3x + 6 and g(x) = 2x?
Answer:
Step-by-step explanation:
In order to do f(g(4)), we need to find what g(4) is in order to input it into the function f(x).
g(4) = 2(4) = 8
Now do f(8) because that's the value of g(4)
f(8) = 3(8^2) - 3(8) + 6 = 174
Help Please , :))))))
Suppose f(x) = x2 and K(x) = 1/9x^2 . Which statement best compares the graph
of K(x) with the graph of f(x)?
Answer:
D
Step-by-step explanation:
since it is not in a parentheses with x that means it only affects the y axis, resulting in a vertical compression by a factor of 9
plz, mark me brainliest ;)
x²(2 - 7x) (-x+2)
Expand the following exercise
Answer:
Step-by-step explanation:
Use FOIL method
(2 - 7x)(-x + 2) = 2*(-x) + 2*2 + (-7x)*(-x) + (-7x)*2
= -2x + 4 + 7x² - 14x {Combine like terms}
= 7x² - 14x - 2x + 4
= 7x² - 16x + 4
x²(2-7x)(-x + 2)= x² (7x² - 16x + 4)
= x²*7x² - 16x * x² + 4x²
[tex]7x^{2+2} -16x^{1+2} + 4x^{2}\\\\= 7x^{4} - 16x^{3} + 4x^{2}[/tex]
i need a smooth pick up line.
you may fall from the sky you may fall from a tree but the best way to fall is in love with me
Over 20 years, the population of a town
decreased by 275 people to a population of
850. Write and solve an equation to find the
original population.
Answer:
p= 1125
Step-by-step explanation:
p-275= 850
p- 275= 850
+ 275 +275
p= 1125
P= the original population minus D= decrease in population is equal to C= the current population
p-d=c
Answer:
1125 people
Step-by-step explanation:
We don't know the exact quantity, but we know it has decreased by 275 and it's currently 850, so we will represent it like this:
x - 275 = 850
x = original amount of people
Now we just solve it like any equation
x = 850 + 275
x = 1125
Hope it was helpful ;)
Sam's two new aquariums each hold exactly 200 gallons of water. One aquarium will hold small fish and the other will hold large fish. Now he needs new fish for his aquariums.
•He will buy 5 small fish for every 10 gallons of water in the aquarium.
•He will buy 8 large fish for every 40 gallons of water in the aquarium.
What is the total number of fish Sam will have? What will be the ratio of Sam's small fish to large fish? Show or explain the steps you used to solve this problem.
write two numbers that multiply to 100 and add to 20
Answer:
10*10
Step-by-step explanation:
Help I am confused please
Answer:
N/A
Step-by-step explanation:
Evalute 2√72 divided by √8+ √2. I need help asap!!!
:( I will mark brainliest pls!!
Answer:
It's 4
Step-by-step explanation:
* / = square root
You simply 2/72 which is 12/2, then simplify /8 which is 2/2.
You combine 2/2 and /2 which is 3/2.
The equation should be 12/2 over 3/2 so you simplify it which will give you 4.
(By simplifying 12/2 over 3/2, you cross out /2 and convert 12 over 3 into a whole number)
So I need 20 words but I don’t get why so here’s this useless sentence
Answer:
7(x+y) 5(3g+4K) 11(5m+1)
Step-by-step explanation:
PLS HELP!!! WILL GIVE BRAINLIEST IF CORRECT!!!
Answer:
Scale factor 3
Step-by-step explanation:
PLEASE HELP ME Please!!!
Answer:
8m would be the answer to your question
Answer:
Depending on the expression you are looking for,
8 times M could be an answer.
8xM
Product is the example of multiplication.
~Hope this helps~
1.(07.02)
Simplify (3x – 5) + (5x + 1)
A) 8x-6
B) 8x+4
C) 8x-4
D) 2x-4
I am dilating a line AB. A ( 4, 6) and B ( -10, 8). Scale factor is 2. what are the new points?
Answer:4,6 will be 8,12. -10, 8 will be -20, 16
Step-by-step explanation:
Write the equation of a line in Slope-Intercept form that is perpendicular to y= 1/2x + 11 and that passes through the point (-7, 1).
A market sells chicken for $2.99 a pound write a linear equation
Answer: Option 3
Step-by-step explanation:
Answer:
y=2.99
Step-by-step explanation:
it just is the answers frfr
please helppppppppppppppppppppp
Answer:
Step-by-step explanation:
56 because it is
Answer:
so the pattern is x3 every time so the last one is 162
Step-by-step explanation: