Answer:
Not a G.P
Step-by-step explanation:
Given - A G.P is such that the third term is nine times the first term, while the second term is one twenty fourth of the fifth term
To find - find its fourth term.
Proof -
Let first term of G.P = a
Second term of G.P = b
Third term of G.P = c
Fourth term of G.P = d
Fifth term of G.P = e
Now,
Given that the third term is nine times the first term
⇒c = 9a
And
Given that the second term is one twenty fourth of the fifth term
⇒b = [tex]\frac{1}{24}[/tex] e
We know that in a g.P, there is common ratio in the terms
i.e [tex]\frac{b}{a} = \frac{c}{b} = \frac{d}{c} = \frac{e}{d}[/tex] = r
and the nth term is represented as aₙ = arⁿ⁻¹
Now,
Second term would be b = ar
Third term would be c = ar²
fourth term would be d = ar³
Fifth term would be e = ar⁴
Now,
c = 9a
⇒ar² = 9a
⇒r² = 9
⇒r = 3 or -3
And
b = [tex]\frac{1}{24}[/tex] e
⇒24b = e
⇒24(ar) = ar⁴
⇒24 = r³
As we have r = 3 or -3
S0 (3)³ = 27 ≠ 24
or (-3)³ = 27 ≠ 24
It is not possible.
So, it is not a G.P
Help me on this because I am so confused
I want the answer fast plz
Answer:
y=-x/3+2
Step-by-step explanation:
If you graph out 3x-y-7=0, you will get a line that goes through the points (0, -7), and about (2.3, 0). If you graph out y=x/3+2, you have to make sure that this line forms a 90 degree angle on the previous line, thus making this line perpendicular to the previous line.
Tom's earnings vary directly with the number of hours he works. Suppose that he worked 9 hours yesterday and earned $126. How much will he earn today if he works 8 hours?
can someone help please ill give Brainlist
Answer:
-1/3
Step-by-step explanation:
The common difference is how much it goes up by with each new number, so you can see that each time it goes down by 1/3. This means that the common difference is -1/3.
In which of the following number sets does -3
NOT belong?
Answer:
Whole numbers
Step-by-step explanation:
-3 is not a whole number because it is a negative number.
There are 107 coins in a jar, all dimes and nickels. The coins are worth $6.70. How many of each kind of
coin is in the jar?
d = number of dimes
n = number of nickels
The jar contains a total of 107 coins, so
d + n = 107
Each dime is worth $0.10 and each nickel is worth $0.05, and the jar contains a total value of $6.70, so
0.10d + 0.05n = 6.70
Multiply both sides of the second equation by 100 to eliminate the decimal points:
10d + 5n = 670
Multiply both sides of the first equation by -5:
-5d - 5n = -535
Add the corresponding sides of these two equations to eliminate n and solve for d :
(10d + 5n) + (-5d - 5n) = 670 + (-535)
(10 - 5)d + (5 - 5)n = 670 - 535
5d = 135
d = 135/5 = 27
Then
n = 107 - d = 80
so the jar contains 27 dimes and 80 nickels.
in science class vicky did an experiment with an unknown soild. she started with 21 grams of the solid. During the experiment , the change in the mass of the solid was -4 grams. what was the final mass of the solid ?
Answer:
17 grams
Step-by-step explanation:
21grams-4=17grams
Answer:
17 grams
Step-by-step explanation:
Since the starting mass was 21 and the change was -4, you would do 21-4, which gives you 17 grams (or the final mass).
the number of subscribers f(t) to a newspaper after t years is shown by the equation below f(t) = 75(.95)^t
smallest multiple of 50 is
10
5
50
Answer:
the smallest multiple of every number is the number itself
Step-by-step explanation:
50
Find the equation of the straight line passing through P(-2,1) and parallel to the line with equation 2x-3y=1
2x-3y=-5
2x−3y+8=0
⇒−3y=−2x−8
⇒3y=2x+8
⇒y=
3
2
x+
3
8
That's how I knew it
hopes it helps you
And
your welcomeee
<<<::
SOLOVE THIS QUESTION PLSS
The top of a flag pole is 15 feet high. The base is at -3 feet. find the length of the flag pole.
HELPP
Answer:
positive its 18 feet
Step-by-step explanation:
What is the area of this shape?
A. 42 cm squared
B. 35 cm squared
C. 26 cm squared
D. 14 cm squared
Answer:
A. 42 cm²
Step-by-step explanation:
Rectangle Area: lw
Put the measurements into the expression
(7)(5)
7•5 = 35
Triangle Area: 1/2bh
1/2(7)(2)
1/2(14)
7
Add them together: 35 + 7 = 42 cm²
HELPPP PLEASEEEEE
Which graph shows the solution for the system of equations?
y = 5x +4
y = 5x - 2
Solve the equation.
-8/5b = 5 b=
QUICK PLEASE!!!
answer this question and show work or have an explanation.
Answer:
70
Step-by-step explanation: Triangle angle sum theorem states the interior angles of a triangle sum to 180 degrees. We know one angle is 40 degrees and the two remaining angles are equal in measure.
Since angle J and angle L are equal in measure we can substitute 2x for angles J and L into the equation.
40 + 2x = 180. Subtract 40 from both sides.
2x = 140. Divide both sides by 2.
X = 70
find the surface area and volume of a cube with the following dimensions: length 4cm, width 4cm, height 4cm
Answer:
Surface area is 96cm^2, volume is 64 cm^3.
Step-by-step explanation:
Surface area = area of top and bottom + area of left and right + area of front and back.
area of top or bottom = 4×4=16cm^2
area of left or right = 4×4= 16cm^2
area of front or back = 4×4=16cm^2
total surface area = 2(16) + 2(16) + 2(16) = 96cm^2
volume of a cube = length × width × height = 4×4×4 r 64 cm^3.
Mr. Burns organized the grades for 11 students in the boxplot below. None of the students earned the same grade. What percent of grades are between 79 and 84?
A. 100%
B. 25%
C. 50%
D. 75%
Answer:
C
Step-by-step explanation:
Answer: 25%
Step-by-step explanation: Sorry this is late
a circular park has a circumference of 36 yd. find its diameter
Answer:
412.53 inches
or
11.45916 yards
Step-by-step explanation:
Answer: 11.46yd
Step-by-step explanation:
The formula for the circumference is dπ.
So using the formula you would have to do the inverse so 36/π=11.46 (2 decimal places)
ܝܐ55.XVZܢ
ܟܝܐ-)X
(
65
)
,
y
(
6
,
-352Z
܂'S-
Answer:
n
Step-by-step explanation:
evaluate the expression for the given value
11 + r r = 7
[tex]11+r =7[/tex]
r=-4
A rectangle has an area of 18 cm², with a perimeter of 18 cm. Find the length and breadth
of the rectangle
Answer:
suppose length is x
breadth is y
now,
x.y=18
2(x+y)= 18
x= 3
y=6
Step-by-step explanation:
What story does the graph tell about the turtle's
journey?
Need fast
Help please one more time -
Answer:
18.85
Step-by-step explanation:
Jerry Asked His Friends How long it took them to get ready In the Morning?
What is the Difference Between the length of time it took the friend who spent the most time getting ready and the length of time took the friend who spent the least time getting ready?
A: 6\8 Hr
B:7\8 Hr
C:7\0 Hr
D:6\0Hr
Answer:
The answer is A.
Step-by-step explanation:
First, you look at the longest time which is 7/8. Next, you look at the shortest time which is 1/8. You take 1/8 from 7/8 which is 6/8 which is A.
Two different counting numbers from 1 to 10 were randomly chosen. What is the probability that the larger one is a multiple of the smaller one?
Answer:
7/10
Step-by-step explana
7/10 was the answer
Answer:
7/10
Step-by-step explanation:
What is the value of y in the parallelogram below?
5y"
654
O A. 110
O B. 60
O c. 13
D. 23
Answer:
D. 23
Step-by-step explanation:
5y = [360 - (65 x 2)] / 2
5y = [360 - 130] / 2
5y = 230 / 2
5y = 115
y = 23
Hope that helps!
I need help ASAP
You found yourself lost in a forest. Give an account of your experience and how you found your way out
Answer:
Step-by-step explanation:
This actually happened to me. I was walking out of a national forest and came up to a stream that I had not crossed. I got my bearings confused and realized I was lost. I knew that if I went Northwest it would be about a 30 mile hike out in heavy woods, with obvious other streams to cross. In the Southeast direction, it would only be about 5 miles.
The sun was out but mostly overhead and no help with directions.
I couldn't wait until the sun went farther West to get my directions. It was a warm Winter day but I wasn't dressed to be there after dark when the temperature fell, even if I did go in the correct direction.
I stuck a stick in the ground and made a mark in the dirt at the end of it's shadow. I sat down for about 15 minutes, then made a new mark in the dirt at the end of the sticks shadow again. I drew a line in the dirt to connect the two marks. This line ran close to the East/West direction, the first mark being the West direction.
I made it out about 5 PM just as the sun was disappearing through the trees.
Please help
Find the are of the trapezoid given the following
9514 1404 393
Answer:
A = 8x³ +4x² -4x
Step-by-step explanation:
Put the given values into the area formula and simplify.
[tex]A=\dfrac{1}{2}h(b_1+b_2)\\\\A=\dfrac{1}{2}(4x)((x^2+2)+(3x^2+2x-4))\\\\A=(2x)(4x^2+2x-2)\\\\\boxed{A=8x^3+4x^2-4x}[/tex]
What is the value of x in this figure?
Answer: The value of x in this figure is 43
Step-by-step explanation:
have a nice day !!
Cole is 53 4/5 inches tall. Sheila is 1 1/6 inches taller than Cole and Jane is 1 1/3 inches taller than Sheila. How tall is Jane?
Answer:
54 3/10 inches tall
Step-by-step explanation:
1 1/6 + 1 1/3 = 2 1/2
53 4/5 + 2 1/2 = 54 3/10
The height of Sheila is 62 ²³/₃₀ inches. Then the height of Jane will be 83 ³¹/₄₅ inches.
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.
Cole is 53 ⁴/₅ inches tall. Sheila is 1 ¹/₆ inches taller than Cole. Then the height of Sheila is calculated as,
⇒ (53 ⁴/₅) × (1 ¹/₆)
⇒ 62 ²³/₃₀
Jane is 1 ¹/₃ inches taller than Sheila. Then the height of Jane is calculated as,
⇒ (62 ²³/₃₀) × (1 ¹/₃)
⇒ 83 ³¹/₄₅ inches
The height of Sheila is 62 ²³/₃₀ inches. Then the height of Jane will be 83 ³¹/₄₅ inches.
More about the Algebra link is given below.
https://brainly.com/question/953809
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