Complete Question
The sum of 3rd and 4th terms of GP is 108 ,The sum of 4th and 5th term of the same GP is 324 ,find common ratio
Answer:
3
Step-by-step explanation:
The formula for Number of term of a GP = ar^n-1
The sum of 3rd and 4th terms of GP is 108
ar² + ar³ = 108... Equation 1
ar²(1+ r) = 108 ..... Equation 1
The sum of 4th and 5th term of the same GP is 324 ,
ar³ + ar⁴= 324... Equation 2
ar³ (1 + r) = 324..... Equation 2
find common ratio
ar²(1+ r) = 108 ..... Equation 1
ar³ (1 + r) = 324..... Equation 2
Solving for r
ar²(1+ r)/ar³ (1 + r) = 108/324
1/r = 1/3
r = 3
Hence, Common ratio = 3
No need for an explanation it is option
Answer:
II) 78
Step-by-step explanation:
2x - 6 + 7x + 15 = 90
9x + 9 = 90
9x = 81
x = 9
<ABC:
7x + 15
7(9) + 15
78
Answer and Step-by-step explanation:
To find the measure of angle ABC, we need to find what x is first. We accomplish this by adding together the two angles and setting it equal to 90.
2x - 6 + 7x + 15 = 90
Combine like terms.
9x + 9 = 90
Subtract 9 from both sides.
9x = 81
Divide both sides by 9.
x = 9
We get x to be 9.
Now, we can plug this in for angle ABC.
7(9) + 15
Multiply 7 and 9 together.
63 + 15
Add 63 and 15 together.
78
The measure of ABC is 78.
That means the answer is II) 78.
#teamtrees #PAW (Plant And Water)
AB describes a line.
AB has a gradient of 3 and passes through the point (1, 15)
Find the equation of line AB,
Answer:
y = 3x + 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (1, 15) into the partial equation
15 = 3 + c ⇒ c = 15 - 3 = 12
y = 3x + 12 ← equation of line AB
a number is the square root of 16 and also the square root of 2. what is the number?
Answer:
there is nothing like that
Step-by-step explanation:
there is no squre root of2
The table shows the amount of money each person has or owes. A negative
number means that the person owes money.
Name
Alma
Fazil
Rachel
Justin
Amount ($)
-35.00
30.00
-8.25
6.50
Tell whether each statement is True or False.
a. Rachel has more money than Justin.
b. Fazil has more money than Alma.
True False
True False
True False
True False
C. Justin has less money than Fazil.
d. Alma owes less money than Rachel.
Answer:
false
true
true
false
.......
Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2
Given:
[tex]a_1=-4[/tex] and [tex]a_n=a_{n-1}+9[/tex] where [tex]n\geq 2[/tex].
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:
[tex]a_n=a_{n-1}+d[/tex]
Where, d is the common difference.
We have,
[tex]a_n=a_{n-1}+9[/tex]
Here, d=9.
The first term of the AP is [tex]a_1=-4[/tex].
The explicit formula for an AP is:
[tex]a_n=a_1+(n-1)d[/tex]
Substituting [tex]a_1=-4[/tex] and [tex]d=9[/tex], we get
[tex]a_n=-4+(n-1)9[/tex]
[tex]a_n=-4+9n-9[/tex]
[tex]a_n=-13+9n[/tex]
Therefore, the required explicit formula for the given sequence is [tex]a_n=-13+9n[/tex].
b) John returns from holiday with these notes.
Note
Number
of notes
The exchange rate is £1 = $1.29.
$50
5
Work out how much he will get in total
when he changes these notes.
$20
2
$10
7
$5
3
14)
Sub Answer
acer
Answer:
£290.70
Step-by-step explanation:
Number of notes of $50 = 5
Total value = 50 × 5 = $250
Number of notes of $20 = 2
Total value = 20 × 2 = $40
Number of notes of $10 = 7
Total value = 10 × 7 = $70
Number of notes of $5 = 3
Total value = 5 × 3 = $15
Total value of all notes with John = 250 + 40 + 70 + 15
= $375
Since, $1.29 = £1
Therefore, $1 = £[tex]\frac{1}{1.29}[/tex]
Therefore, $375 = £ [tex]\frac{375}{1.29}[/tex]
= £290.70
Find the value of x. Write your answer in simplest form.
Answer:
x = (9/2)√2
Step-by-step explanation:
The ratio of leg x to the hypotenuse 9 is equal to the cosine of 45 degrees:
cos 45 degrees = x/9
To find the value of x, multiply both sides of this equation by 9, obtaining 9*cos 45 degrees, which comes out to x =9(1/√2). Rationalizing the denominator, we get x = (9/2)√2
Solve the equation. Select all that apply.
Answer:
ll
Step-by-step explanation:
square root of 121 is 11 since 11x11=121
someone help me pls ♀️
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 7 anchors and 2 floats
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
What are the answers to these?
Answer:
XW in the first blank
Z in the second blank
To visit his grandmother, Michael takes a motorcycle 3.853.853, point, 85 kilometers and a horse 3.323.323, point, 32 kilometers. In total, the journey takes 50.5450.5450, point, 54 minutes. How many kilometers is Michael's journey in total?
Answer:
7.17 km
Step-by-step explanation:
Given that:
Distance in kilometers traveled by motorcycle = 3.85 km
Distance in kilometers traveled by horse = 3.32 km
Total distance of journey in kilometers /
3.85 km + 3.32 km
= 7.17 kilometers
The BP station sold gas for $2.49 per gallon. This week their gas prices are $2.61 a gallon. What was the percent increase in gas from last week to this week?
Answer:
.12%
Step-by-step explanation
2.61-2.49= 0.12
.12%
PLZ HELP!!!! solve for x
Answer:
64 degrees
Step-by-step explanation:
Combining the 90 degrees, x degrees, and 26 degrees creates a flat angle or 180 degrees
so first, combine 90 and 26 degrees
90+26= 116
then subtract 116 from 180
180-116= 64 degrees
Evaluate the expression when m=12
Answer:
Where's the expression?
Step-by-step explanation:
For the past 10 days, a city planner has counted the number of northbound cars that pass through a particular intersection. During that time, 200 or more cars were counted 9 out of 10 days.
What is the experimental probability that there will be 200 or more northbound cars passing through the intersection on the eleventh day?
Answer:there is no possiblity
Step-by-step explanation:
A football team played 90 matches. They won 37 matches.
They drew 1/9 of their matches.
What fraction of their matches did they lose?
Answer: 44 matches
Step-by-step explanation:
Let's take the given information
They won 37 matches
1/9th of their matches resulted in a draw
1/9 out of 90 is 9
You can take 90/9 and you will get 9
Now let us add 37+9 and you get 47
Now take 90-47
44 Matches lost
22/45 or 44/90
There are 14 penguins on the rocks. Half as many are swimming. How many are in the water? How many in all?
Answer:
7 penguins are in the water.
21 penguins in all.
Step-by-step explanation:
14 penguins on the rocks.
Half of them equals 7 are in the water swimming.
7 + 14 = 21
7 penguins are in the water.
21 penguins in all.
The number of penguins in water = 7 penguins
The total number of penguins = 21 penguins
Word problems in mathematics involve a crucial understanding of solving real-life cases with the use of arithmetic operations.
From the information given:
There are 14 penguins on the rock.Half as many are swimming implies that: 7 of them are swimmingThus, the number of penguins in water = 7 penguins
The total number of penguins overall = penguins in water + penguins on the rock
The total number of penguins overall = 7 + 14
The total number of penguins overall = 21 penguins
Learn more about word problems here:
https://brainly.com/question/25693822
Need help fast for 1 2 3 and 4 for please and thank you
The formula for the area of a circle is [tex]\pi r^2[/tex]
So if we have the first one...[tex]3.14*5^{2}[/tex]≈78.5
Now you can solve the other ones with this formula! Good luck!
Ginny paid $4.16 for a sandwich. She paid$0.95 for a piece of fruit. What is the total amount Ginny paid for the sandwich and fruit?
Answer:
$5.11
Step-by-step explanation:
4.16 + 0.95 = 5.11
I need help please and thank you ( umm 10 points i think ). thank u
Answer:
D
Step-by-step explanation:
since it tells you y is=1 plug that into the top equation
-1=5x+4
-1=x
and you already have y=-1
so its(-1,-1)
this is simple
since y = -1
y = 5x + 4
-1 = 5x + 4
5x = -5
x = -1
therefore answer is (-1, -1)
Which functions are symmetric about the y-axis? Check all of the boxes that apply. On a coordinate plane, a cosine curve has a maximum of 1 and minimum of negative 1. On a coordinate plane, a parabola opens to the right with a vertex at (0, 0) On a coordinate plane, a parabola opens up.
Answer:
1st box
3rd choice
Step-by-step explanation:
Those are the only choices that are symmetric about the y-axis
The 2nd choice isn't because it doesn't reflect over the y-axis
A graph is a way to represent a lot of data in a visual format. The functions that are symmetric about the y-axis are graphs 1 and graph 3.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The y-axis is the vertical axis of the graph, therefore, the functions that are symmetric about the y-axis are the graph of function 1 and the graph of function 3.
Hence, the functions that are symmetric about the y-axis are graphs 1 and graph 3.
Learn more about Graph:
https://brainly.com/question/14375099
#SPJ2
Please answer the following:
Answer:
Conner's work is correct
Jana's work is incorrect
Step-by-step explanation:
Explanation: While Multiplying, exponents of the same bases gets added and not multiplied.
Here, CONNOR HAS ADDED THE EXPONENTS WHEREAS JANA HAS MULTIPLIED THE EXPONENTS.
I need the answer very fast plz hurry
Answer:
2x=110 degree
2y=70 degree
Circle a is defined as (x+5)^2 + (y+6)^2 + 16, and circle b is defined as (x+3)^2+(y+2)^2 =9. Which transformation of circle a shows that circle b is similar?
Answer:
We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)
Step-by-step explanation:
We should apply a translation prior to determine if both circles are similar. If we translate the circle A to the center of the circle B. The translation needed is the vectorial distance between both centers:
[tex]T(x,y) = B(x,y)-A(x,y)[/tex] (1)
Where:
[tex]T(x,y)[/tex] - Translation vector.
[tex]A(x,y)[/tex] - Location of the center of the circle A.
[tex]B(x,y)[/tex] - Location of the center of the circle B.
If we know that [tex]A(x,y) = (-5,-6)[/tex] and [tex]B(x,y) = (-3,-2)[/tex], then the translation vector is:
[tex]T(x,y) = (-3,-2)-(-5,-6)[/tex]
[tex]T(x,y) = (2,4)[/tex]
We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)
Answer:
Step-by-step explanation:D
874 x 12 - 1,000 · 4³ = ? ajutatima pls
Answer:
-53512
Step-by-step explanation:
874 x 12 - 1,000 · 4³ (We do exponents 1st)
874 x 12 - 1000 x 64 (Multiply 874 with 12, and 1000 with 64)
10488 - 64000
-53512
Leo estimates that a package weighs 27 pounds. The postal clerk weighs it and finds it weighs 20 pounds. What is the percent error in Leo's estimate?
Answer: 35%
Step-by-step explanation:
Given
Weight measured by Leo [tex]W_1=27\ pounds[/tex]
Weight measured by the clerk [tex]W_2=20\ pounds[/tex]
Percentage error is
[tex]\Rightarrow \%\ \text{error}=\dfrac{\text{False value}-\text{Correct value}}{\text{Correct value}}\times 100[/tex]
Putting values
[tex]\Rightarrow \%\ \text{error}=\dfrac{27-20}{20}\times 100=35\%[/tex]
(-5/12) - 19/12
SUBTRACTION IN RATIONAL NUMBER
PLEASE HELP ME
Answer:
Its - 2..................
Which of the following is NOT a linear function?
y=x
y=5
y=-3x-5
y=x^2+6
18 Which expression shows a "7" as a coefficient? Select ALL that apply.
A 2x-7
B 7(x + 9)
C 7x + 8y
D 3x7
E 7 + 5x
F 4x - 7y
Answer:
B,F, C
Step-by-step explanation:
I belive this because a coefficient a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
What is the length of line AD?
1
Step-by-step explanation:
i am very beautiful yes i know it
