The sum of the first 8 terms of a GP is five times the sum of first 4 terms. Find the common ratio.
Answer:
1Step-by-step explanation:
Sum of nth term of a GP is expressed as;
Sn = a(r^n-1)/r-1
The sum of the first 8 terms of a GP is expressed as;
S8 = a(r^8 - 1)/r-1
The sum of first 4 terms is expressed as;
S4 = a(r^4 - 1)/r-1
If the sum of the first 8 terms of a GP is five times the sum of first 4 terms then
S8 = 5S4
a(r^8 - 1)/r-1 = 5[a(r^4 - 1)/r-1]
r^8 - 1 = 5(r^4 - 1)
r^8 - 1 = 5r^4 - 5
r^8 - 5r^4 = -5+1
r^4(r^4 - 5) = -4
r^4 - 5 = -4
r^4 = -4+5
r^4 = 1
r = 1
Hence the common ratio is 1
if I had 3 gold fish and 1 drown how many down. How many gold fish do I still have?
Answer:
3
Step-by-step explanation:
Fishes doesn't drown duh
please help me this is my test for the review of all the math i learned
Answer:
16.752
Step-by-step explanation:
The sum of 7 times the number and 3 times the 2nd numbers 54 if the 1st number is 2 more than the 2nd number what are the 2 numbers right as this movie equations that can be used to find the numbers
Answer:
1) The series of equations that can be used to find the numbers are
7·x + 3·y = 54...(1)
x = y + 2...(2)
2) The first number is 6
The second number is 4
Step-by-step explanation:
1) The given parameters for the numbers are;
7 times the first number + 3 times the 2nd number = 54
The first number = The 2nd number + 2
Let 'x' represent the first number and let 'y' represent the second number
The following series of equations can therefore be used in finding the numbers;
7·x + 3·y = 54...(1)
x = y + 2...(2)
2) By substituting the value of x = y + 2 from equation (2) into equation (1) gives;
7·x + 3·y = 54
∴ 7×(y + 2) + 3·y = 54
7·y + 14 + 3·y = 54
10·y + 14 = 54
10·y = 54 - 14 = 40
y = 40/10 = 4
The second number = y = 4
The first number, x = y + 2 = 4 + 2 = 6
The first number, x = 6.
Find the solution of y = –x – 3 for x = 1.
A.
(–4, 1)
B.
(–2, 1)
C.
(1, –4)
D.
(1, –2)
Answer:
A. :)
Step-by-step explanation:
in this triangle, what is the value of x? Enter your answer, rounded to the nearest tenth, in the box. x = A right triangle with one leg labeled 66 millimeters and the hypotenuse labeled 79 millimeters. The angle that is opposite the 66 millimeter side is labeled x degrees.
Answer:
56.7°
Step-by-step explanation:
We solve this above question using the Trigonometric function of Sine
sin x = Opposite side/Hypotenuse
Opposite = 66mm
Hypotenuse = 79 mm
sin x = 66/79
x =arc sin(66/79)
x = arcsin(0.8354430379746836)
x = 56.661998553°
Approximately = 56.7°
Answer:
In this triangle, what is the value of x?
Enter your answer, rounded to the nearest tenth, in the box.
x = 56.7
Step-by-step explanation:
HELP this is probably easy but I don’t wanna get it wrong (show work please)
Answer:
a=-6
Step-by-step explanation:
p^a=1/p^6
= p^-6 ( a^-b=1/a^b)
since p^a=p^-6
a= -6
Step-by-step explanation:
P*a = 1/P*6can be written as
P*a = P*-6(law of indices)
i.e a = -6
HELP IT’S URGENT!!!!!!!
Answer:
Step-by-stepMONNKKKKKK explanation:
Consider the following two linear equations.
2x + y = 5
-2x + 2y = 4
Solve for the point of intersection using elimination
Point of intersection:
Answer:
(1,3)
Step-by-step explanation:
:)
A farmer bought three seeds ,the probability that each of them germination is 3/4.If he plant all of them,find the probability that only one of them germinate
Answer:
[tex]\frac{9}{64}[/tex]
Step-by-step explanation:
Probability refers to chance of occurrence of any event.
Probability that each of them is germinates [tex]=\frac{3}{4}[/tex]
So,
Probability that each of them is germinates won't germinate [tex]=1-\frac{3}{4}=\frac{1}{4}[/tex]
Probability that only one of them will germinate = [tex]=\frac{3}{4}(\frac{1}{4})^2=\frac{9}{64}[/tex]
Mark jogged 3 5/7 km. His sister jogged 2 4/5 km. How much farther did Mark jog than his sister?
Step-by-step explanation:
so therefore mark jogged 2 36/70km more than his sister
The number of kilometers that Mark jog more than his sister will be 32 / 35 km.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Mark jogged 3 ⁵/₇ km. His sister jogged 2 ⁴/₅ km.
Convert the mixed fraction number into a fraction number. Then we have
3 ⁵/₇ = 3 + 5/7 = 26/7
2 ⁴/₅ = 2 + 4/5 = 14/5
Then the number of kilometers that Mark jog more than his sister will be given as,
⇒ 26/7 - 14/5
⇒ 32 / 35 km
The number of kilometers that Mark jog more than his sister will be 32 / 35 km.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
How can the decimal 1.245 repeating be written as a quotient of two integers?
Answer:
1244/999
Step-by-step explanation:
So we have 1.245245245245.... which we call x.
If we times this by 1000 (because 3 digits repeat) we get
1000x = 1245.245245245....
Subtract x from both sides:
999x = 1245.245245245... - 1.245245... = 1244
This means that x = 1244/999
This fraction cannot be simplified so this is the answer.
If you want to include the 1 in the repeating (1.2451245...) do the same but the sequence is 4 digits so times by 10000 instead.
lamont cotton is 4% comission on the first 10,000 of monthly sales mens 10% on all sales over 10,000. last month his 38,00. what was his comission
Given:
Lamont cotton is 4% commission on the first 10,000 of monthly sales and 10% on all sales over 10,000.
Consider his last month sales is 38,000.
To find:
The total commission.
Solution:
4% commission on the first 10,000 of monthly sales is
[tex]10,000\dfrac{4}{100}=400[/tex]
Sales over 10,000 is
[tex]38,000-10,000=28,000[/tex]
10% commission on all sales over 10,000 is
[tex]28,000\times \dfrac{10}{100}=2,800[/tex]
Now, the total commission is
[tex]400+2,800=3,200[/tex]
Therefore, the total commission is 3,200.
Look at the pattern below.
3, 6, 9, 12, ...
Which number sentence can be used to determine n, the 9th number in the pattern?
A.
n = 3 + 9
B.
n = 3 ÷ 9
C.
n = 12 + 9
D.
n = 3 × 9
3800 people attended a basketball game. 1026 of the people attending supported the
home team, while 2774 supported the visiting team. What percentage of people
attending supported the home team?
Answer: 27%
Explantion:
1026/3800 =x/100
cross mulitply and get 102600 then divid both sides by 3800.
Answer:
27
Step-by-step explanation:
r
the measure of one angle of a triangle is 105 what do you know about the measure of the other two angles?
Answer:
they add up to 75 degrees
Step-by-step explanation:
the interior angles of a triangle always have to total to 180 degrees, so if one of them is 105 the other two are 180 - 105 = 75 degrees
Answer:
Each angle could possibly be 37.5
Step-by-step explanation:
the sum of all the angles inside a triangle is 180 degrees. If one angle is 105, then we take 105 from 180
180 - 105 = 75
75 is the measure of all the missing angles. since there are two missing angles, we can divide 75 by two for the two angles
75 divided by two is 37.5
algebra work needed please help
I need help with this question answer withing 5 mins URGENT!!!!
why did u click on this and what is 5 + 2
tbh I don't know why I clicked on it. I'm bored and the answer is 7
Question: Which set of directions correctly describes how to plot the point (6, 2) on the coordinate plane?
A.Start at the origin. Move 6 units to the right, then move 2 units up.
B.Start at the origin. Move 6 units up, then move 2 units to the right.
C.Start at the origin. Move 6 units to the left, then move 2 units up.
D.Start at the origin. Move 6 units up, then move 2 units to the left.
I GIVE BRAINLIEST!
Can someone help with this question
Answer:
3 and 4
Step-by-step explanation:
Answer
Im cool :d
Step-by-step explanation:
Find an ordered pair (x, y) that is a solution to the equation. 6x-y=9
Answer:
(0, -9)
Step-by-step explanation:
-y= -6x + 9
y = 6x -9
plug in 0 for x
(0, -9)
May you please help me with this question
Answer:
Row 2 Column 2: 1/25
Row 2 Column 3: 0.04
Row 3 Column 1: 75%
Row 3 Column 3: 0.75
Row 4 Column 1: 80%
Row 4 Column 2: 4/5
Answer:
4 as a fraction is 1/25 as a decimal 0.04
3/4 as a percentage is 75% as a decimal 0.75
0.8 as a fraction 4/5 and as a percentage is 80%
Step-by-step explanation
What is the value of the expression shown below? 8 + (7 + 1) 2 ÷ 4 ⋅ (5 points) Group of answer choices
7
9
21
24
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
Natalie read 3/4 of a book that was 120 pages long. how many pages does she have left?
Answer:
120/3 = 40 40x2 =80 120-80=40 the answer is 40 pages
Step-by-step explanation:
45.60$ meal with a an 18% tip
Answer:
53.81
Step-by-step explanation:
if u add the tip but the tip by itself is 8.21
Tim knows the volume and base area of a wooden chest that is in the shape of a rectangular prism. If the volume is of a cubic unit and the base area is of a square unit, what is the height of the chest?
Complete question :
Tim knows the volume and base area of a wooden chest that is in the shape of a rectangular prism. If the volume is 5/24 cubic unit and the base area is 1/5 square unit, what is the height of the chest?
Answer:
1 1/24 units
Step-by-step explanation:
Volume of a rectangle prism:
Volume = Lenght * Width * Height
Base area = Length * width
Volume = Base area * Height
Volume = 5/24 unit³
Base area = 1/5 unit²
Plugging values into our formula :
5/24 = 1/5 * height
Divide both sides by 1/5
Height = 5/24 ÷ 1/5
Height = 5/24 * 5/1
Height = 25 / 24
Height = 1 1/24
= 1 1/24 units
Answer:
B. 1 1/24 units
Step-by-step explanation:
The y-intercept is the point where the line crosses the
A. origin
B. slope
C. y-axis
D. x-axis
The cost of 5 cans of dog food is $4.35. At this price, how much does 24 cans of dog food cost?
Answer:
$20.88
Step-by-step explanation:
Answer:
$20.88
Step-by-step explanation:
4.35 / 5 = 0.87
0.87 x 24 = 20.88
An equation of the line tangent to the graph of f(x)= (4x^2-8x+3)^4 at the point where x=1 is:
A.y-81=384(x-1)
B.x=1
C.y=1
D.y-1=3.37497(x-1)
E.y=5(x-1)
Maggie wants to make a special card for Valentine’s Day. She starts with a
square piece of red paper with a side length of 12 cm. She then pastes two white
semi-circles, each with radius 3 cm, and a white triangle onto the square sheet of
red paper, as shown below. Determine the total amount of area available in the white region for Maggie’s special valentine greeting.
Answer:
I don't know
Step-by-step explanation:
I tried to search it up to get it correct but all it showed me was useless websites that didn't give me the answer