The third term is 245 and the first term is 5 -> To get from the first term to the third term, we multiply it by 49.
Since in a geometric sequence, the difference between each term has to be a constant multiplier or a sequence of multipliers -> We can find the second number to be 5 x 7 = 35
So, this geometric sequence is 5 ; 35 ; 245 and so on.
-> The common ratio of this sequence is 7. (and sorry if the things above don't make sense)
Answer:
7
Step-by-step explanation:
Given:
First term = 5Third term = 245Let the second term be "x".
⇒ 5, x, 245...
Thus, the following equations:
5 × (something) = xx × (something) = 245To find the common ratio between the three terms, we need to find the value of "x". Simplify both the equations to obtain the values of (something). Then compare both the values.
⇒ [5 × (something)] = x
⇒ [5 × (something)]/5 = x/5
⇒ (something) = x/5
⇒ x × (something) = 245
⇒ [x × (something)]/x = 245/x
⇒ (something) = 245/x
Now, let's compare both the results of (something).
⇒ x/5 = 245/x
⇒ x² = 5 x 245
⇒ x² = 1225
⇒ x = √1225 = 35
Substitute the second term into the sequence.
⇒ 5, x, 245 = 5, 35, 245
Looking at the sequence formed, we can tell that 7 is being multiplied to each term. Thus, 7 is the common ratio.
Can you guys tell me what 6!/3!
[tex]\cfrac{6!}{3!}\implies \cfrac{6\cdot 5\cdot 4\cdot \qquad 3\cdot 2\cdot 1}{3\cdot 2\cdot 1}\implies \cfrac{6\cdot 5\cdot 4\cdot 3!}{3!}\implies 6\cdot 5\cdot 4\implies 120[/tex]
Answer:
[tex]\boxed{\sf{120}}[/tex]Step-by-step explanation:
Use the factorials formula.
Factorials formula:
[tex]\Longrightarrow: \sf{\dfrac{n!}{(n-m)!}=n*(n-1)* (n-m+1),\:\quad \:n > \:m}[/tex]
→ 6!/3!=6*5*4
⇒ 6*5*4
Solve a order of operations.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtractFirst, multiply.
→ 6*5*4
⇒ 6*5=30
⇒ 30*4=120
= 120
Therefore, the correct answer is 120.I hope this helps you! Let me know if my answer is wrong or not.
What do we do to both sides of this equation to solve?
x−10=8
Question 2 options:
Subtract 10 from both sides
Add 10 to both sides
Multiply both sides by 10
Divide both sides by 10
Add 10 to both sides
Step-by-step explanation:
x-10 = 8
x - 10 + 10 = 8+ 10
x = 18
Step-by-step explanation:
Add 10 to both sides
or,x-10+10=8+10
or,x=18
number 2022 is not a perfect square give reasons
Answer:
No
Step-by-step explanation:
It is not factorial of any number.
Ejemplos: 4 x 5 = 20 -4.3 = -12 -6-9 = 54 (7) (-7) = -49 Ejercicios: 1. Resuelve 1) -6.4= 2) 4.2 = 5 3) 3 • (-4) = 4) 6 (-4) = 5) (5) (-4) = 6) (-3) (-4) = 7 -5x6= 8) -2 x 1 = 9) -8 -2 = 10) -8 • 4 =
Answer:
37
Step-by-step explanation:
it just it
Please help me with this please and thank you
Answer:
#3 is 100
#2 is west
#1 is 80
Step-by-step explanation:
“Find 24% of $240.”
I keep trying and getting a different answer each time, please help
Answer:
$57.60
Step-by-step explanation:
The first thing you want to do is convert 24% to a decimal. To do this you just need to take the current decimal place and move it 2 places to the left. Since this percentage is a whole number the decimal is just after the 4.
(0.24)
Multiply that decimal by the number you want to find the percentage of
$240 * .24 = $57.60
In the figure below, xZ=25 and YZ=17. Find xY.
xY=
Answer:
XY = 8
Step-by-step explanation:
XY + YZ = XZ , that is
XY + 17 = 25 ( subtract 17 from both sides )
XY = 8
determine how many ways a president, vice president and treasurer can be chosen from a math club that has 7 members.
Answer:
210
Step-by-step explanation:
There are 7 choices for president.
Then there are 6 choices for vice-president.
Finally, there are 5 choices for treasurer.
7 × 6 × 5 = 210
2=x^2-10x solve by completing the square
[tex]2=x^2-10x\\\\\implies x^2 -10x =2\\\\\implies x^2 -2\cdot 5 x +5^2 -5^2 = 2\\\\\implies x^2 -2\cdot 5x +5^2 = 2+5^2 \\\\\implies (x-5)^2 = 27\\\\\implies x-5 = \pm\sqrt {27}\\\\\implies x = \pm\sqrt{27} +5=\pm3\sqrt{3}+5\\\\\text{Hence,}~ x = 5+3\sqrt 3~\text{or}~ x = 5-3\sqrt 3[/tex]
Could someone help me
Answer:
D) 3^9
Step-by-step explanation:
3^4 3^8 / 3^3
3^4 / 3^3 = 3
= 3 * 3^8
= 3^9
Answer:
(x+2)(x+3)
√2x
3
−3
−4+i
Step-by-step explanation:
can you please tell me which one it is and why. thank you
Answer
its A the answer is on quizzes
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
rational numbers do not have unending numbers trailing it
ex: 1, 1/4 13/2
irrational numbers do not end
(pi, square root of 2)
Use trigonometry to work out the size of angle y.
+
+
11 cm
у
6 cm
Answer:
17+y
Step-by-step explanation:
Which expression is equivalent to 8 (a minus 6)?
8 a minus 48
2a
8 a minus 6
48a
Answer:
8 a minus 48
Step-by-step explanation:
you need to distribute!!
so you distribute the 8 to both the a and 6
8 times a equals 8 a
8 times 6 equals 48
and so that’s how you get 8 a minus 48 c:
Answer:
8 a minus 48
Step-by-step explanation:
Which statement was made by the negative to indicate a bias in the survey data presented by the affirmative?
The survey did not ask for the students' opinions regarding their freedom of expression.
The survey was conducted by a uniform manufacturer that profits from schools requiring school uniforms.
The survey was performed in elementary schools, not in high school environments.
The survey only asked female school officials for their opinions, not male school officials.
answer B
Answer:
The survey was conducted by a uniform manufacturer that profits from schools requiring school uniforms.
Step-by-step explanation:
PLEASE HELP!!! I NEED TO KNOW HOW TO SOLVE IT
Name of the shape:
Triangular Prism - a three sided prism "triangular base"
Surface Area of Right Triangular Prism:
⇒ Base x Height + Length(perimeter of the base)
4 x 3 + 11(3 + 5 + 4)12 + 11(12)12 + 132144 cm²There surface area of this shape is 144 cm²
#a
Triangular prism#b
If sides be L,B,H
Then
TSA=BH+L(Perimeter of base)#c
Now
TSA=4(3)+11(3+5+4)TSA=12+11(12)TSA=144cm²You find another case with a sale price of $4.68 after a 40% discount. What is the original price of the case?
Answer:
11.7
Step-by-step explanation:
Since we know what the price was after the discount, we just have to reverse it. In order to apply a discount to a price, you multiply the number by the discount. e.g, 0.40 * x = 4.68. So to find the original price, we have to do the opposite. The opposite of multiplication is division, so divide 4.68 by 0.40, (0.40 is equivalent to 40%.) and we get 11.7.
11.7 is the original price.
Brainliest please?
Find the value:with steps please
-3/5 x 8/15 x 1/9 x -24/30
Answer:
Step-by-step explanation:
Jenny paid $8.54 for a pizza. She now has $16.79. With how much money did she start
It needs to be written as an equation
Answer:
16.79 - 8.54= ? so the answer is 8.25
Step-by-step explanation:
~Hope this helps you~
HELPPPPP LOOK AT PICTURES. I'LL GIVE BRAINLIEST!!!!
[tex](D)\ d(r)=7\times (0,75)^2[/tex]
Step-by-step explanation:[tex]r=0.75\ \ \ \ \ d_1=7\times 0.75\ \ \ \ \ d_2=0.75d_1=7\times 0.75^2[/tex]
[tex]so\ at\ 1\le r\le 7[/tex]
[tex]d(y)=7x(0,75)^2[/tex]
I hope this helps you
:)
If Shannon wants to fill a spherical balloon so that it has a circumference of 8π in, how much air will she need to use to fill the balloon?
The Volume of air needed for a spherical balloon of radius 4 inch and circumference 8π is 85.3 cubic inch
Volume of SphereGiven Data
Circumference = 8πLet us find radius
circumference = 2πr
8π = 2πr
8 = 2r
r = 8/2
r = 4 inch
Let us find the volume of the sphere
Volume = 4/3πr^3
Volume = 4/3* π*4^3
Volume = 4/3*π64
Volume = 256π/3
Volume = 85.3 cubic inch
Learn more about volume of sphere here:
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0.046×0.3
Show your work
Find the missing angle. Your answer will be a number only.
Answer:
Pretty sure its 60
Step-by-step explanation:
Basic geometry
SNOWMOBILES Bruce rents snowmobiles to tourists. He charges $135 for 4 hours and $202.50 for 6 hours. What is the hourly rate Bruce charges to rent a snowmobile
Answer:
The answer is 33.75 per hour
Step-by-step explanation:
Divide 135 by 4
What number should be added to – 5 to get 3/5
Answer:
5.6
Step-by-step explanation:
3/5=0.6
so you would add 5.6 to get 0.6
What is the value of the rational expression when x = 2?
Answer:
4
Step-by-step explanation: If this regarding the splitting of two polynomials put through the pyth theorem.
Find the length of the third side. If necessary, round to the nearest tenth.
4
Answer:
x=2.6
Step-by-step explanation:
We can use the Pythagorean theorem to find the third side
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 + x^2 = 4^2 where x is the unknown side
9 + x^2 = 16
Subtract 9 from each side
x^2 = 16-9
x^2 = 7
Take the square root of each side
sqrt(x^2) = sqrt(7)
x =2.645751311
Rounding to the nearest tenth
x = 2.6
Answer:
2.65
Step-by-step explanation:
take the length of the third side as x
so,take Pythagoras theorem
4^2=3^2+x^2
16=9+x^2
x^2=16-9
x^2=7
x=√7
x=2.645
x=2.65
on the number line,label the points that are 5 over 2 units away from 0. What is the distance between these points
Answer: 5 units
Step-by-step explanation:
5/2 = 2.5
they are 2.5 away on each side of 0 therefore the points are 5 units away from each other
necesito saber como se resuelve esto (:
Answer:
Cómo escribir las fracciones en letras?
Así, cuando vayas a leer una fracción, primero menciona el numerador, luego el tipo de partes que se están tomando. Por ejemplo, la fracción se lee siete novenos, y significa que se tomaron siete partes, después de dividir la unidad en nueve.
Step-by-step explanation:
Each face of a cube has an area of 4 square units. What is the volume of the cube?
Each face of a cube has an area of 4 square units, then the volume of the cube is 8 cubic units.
The given information states that each face of the cube has an area of 4 square units.
Since a cube has 6 faces, this means that the total surface area of the cube is:
Total Surface Area = 6 * 4 square units = 24 square units
Now, let's relate the surface area of the cube to its volume:
For a cube, the surface area (S) and the volume (V) are related by the formula:
S = 6s²
Where "s" is the length of each side of the cube. In this case, we have:
S = 24 square units
Substitute this into the formula:
24 = 6s²
Now, solve for "s":
s² = 24 / 6
s² = 4
Take the square root of both sides:
s = √4
s = 2
So, each side of the cube is 2 units long.
Now, to find the volume of the cube, you can use the formula for the volume of a cube:
V = s³
Substitute the value of "s":
V = 2³
V = 8 cubic units
Therefore, the volume of the cube is 8 cubic units.
To learn more on volume click :
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Sage borrowed $4500 from her parents to buy her a new car. So far she has repaid $2740 How much money does save still owe her parents?
Answer:1760
Step-by-step explanation:you get the money given by the parents minus the money given back to the parents