The common ratio for the given geometric sequence, written as a fraction is [tex]\frac{5}{8}[/tex]
Given the following geometric sequence:
768, 480, 300, 187. 5To determine the common ratio for the given geometric sequence:
The common ratio of a geometric sequence refers to the ratio or constant factor between two (2) consecutive numbers in the sequence.
Mathematically, the common ratio of a geometric sequence is given by the formula:
[tex]C=\frac{T_{n+1}}{T_n}[/tex]
Substituting the given parameters into the formula, we have;
[tex]C = \frac{300}{480} \\\\C=\frac{30}{48} \\\\C=\frac{5}{8}[/tex]
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Someone please help me!!
Answer:
answer attached: x = 5√2
Step-by-step explanation:
Answer:
Step-by-step explanation:
All of the right triangles are similar. This means ...
long side / short side = x/2 = 25/x
Multiplying by 2x gives ...
x² = 25·2
x = (√25)(√2)
x = 5√2
_____
Additional comment
The "geometric mean" of 'a' and 'b' is √(ab). With this in mind, you can see that x is the geometric mean of the lengths 2 and 25. This is always true for this right-triangle geometry.
There are two other geometric mean relations in this geometry, having to do with the other possible ratios of sides. In effect, the length of a segment that touches the hypotenuse (longest side) of the triangle is the geometric mean of the two segments of the hypotenuse it touches.
Left side = √(2·27) = 3√6
Bottom side = √(25·27) = 15√3
pls help pls no links?
[tex]\dfrac{3^{15}}{3^3} = 3^{15 -3} = 3^{12}[/tex]
2/3x + 5/6=3 1/3 I need it in as a mixed number in it's simplest form please
Answer:
3 3/4
Step-by-step explanation:
9-(1-3y)=4+y-(3-y), find y
Answer:
-7 is the answer!! :) hope this helps
Help please!! Ill give 100 points!
Answer:
B)
Step-by-step explanation:
10/5 + 4(72 - 6)
10/5 + 288 - 24 Distribute the 4 to 72 and 6
2 + 288 - 24 Divide
2 + 264 Combine the like terms
262
Mr Jibril wants to fill a rectangular container measuring 8 m by 5 m by 2 m completely with gravel. Gravel costs $26 per cubic metre. He has only $1500. How much more money will Mr Jibril need to pay for the gravel?
What is the value of q
Answer:
Triangles QST and RST are similar. Therefore, the following is true:
q s
--- = ---- This results in 10q=rs.
r 10
Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.
4 s
Also: ---- = ----- which leads to s^2 = 40
s 10
Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2
Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)
will mark brainliest (2 possible answers pls) ( NO LINKS OR ANSWERS WITH NO EXPLANATION)
Answer:
P = 22.22
Step-by-step explanation:
1.What is the domain of this graph?____
Answer:
x=2
Step-by-step explanation:
f(x) = 3x + 4 + 2 g(x) = 4 Find (f + g)(x). A. (f +g)(x) = 3x +4 +6 B. (f +g)(x) = 3x + 10 c. (f +g)(x) = 3x + 6 + 4 O D. (f +g)(x) = 3x + 10
Answer:
(f+g) (x)= -5x-4= (-3x-2)
or, -5x + 3x= -4+2
or, -2x= -2
or,x= 2/2
:. x= 1
Step-by-step explanation:
I need these answers for a worksheet I have and I would appreciate it if someone would help me out.
Question 1. You can combine like terms to ________ an expression.
Question 2. All ______ are like terms and can be combined.
Question 3. Terms with the same _____ are considered like terms.
Answer choices:
Constants
variables
simplify
(a) Round off 3.612 and 29.87 to 2 significant figures.
(b) Use your answers in part (a) to estimate the value of 3.612 ÷ 29.87.
also pls show how you found the answer
WILL GIVE BRAINLIEST IF UR RIGHTTT!
Answer:
[tex]-\sqrt{5\\}[/tex]
Step-by-step explanation:
Which values from the set negative 6, negative 4, negative 3, negative 1, zero, 2, satisfy this inequality?
Negative one half x, plus 3, is greater than or equal to 5.
Answer:
- 6
Step-by-step explanation:
- [tex]\frac{1}{2}[/tex] x + 3 ≥ 5 ( subtract 3 from both sides )
- [tex]\frac{1}{2}[/tex] x ≥ 2 ( multiply both sides by 2 to clear the fraction )
- x ≥ 4
Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.
x ≤ - 4
The only value from the set which satisfies the inequality is
x = - 6
Plz help me thx
Simplify:
Answer:
4
Step-by-step explanation:
note that [tex]\sqrt{x^2}[/tex] = x , then
[tex]\sqrt{(2-\sqrt{5})^2 }[/tex] + [tex]\sqrt{(2+\sqrt{5})^2 }[/tex]
= 2 - [tex]\sqrt{5}[/tex] + 2 + [tex]\sqrt{5}[/tex] ← collect like terms
= 4
you use a garden hose to fill a wading pool if the water level rise 12 centimeters every 5 minutes and you record the data point of (15,y) what is the value of y
please help me!
ty ty :)
Answer:
y-2 = -11 (x-5)
Step-by-step explanation:
2 is the y value of the point, 5 is the x value and -11 is the m value.
Slope point form: y-y1 = m(x-x1)
Hope that helps
Help bell math math math
Answer:
54
Step-by-step explanation:
C=πd
π=3
d=18
C=3×18
Therefore C=54
Answer:
c=54
Step-by-step explanation:
Un terreno Forma rectangular mide X +4 de alto y de base X +10 indica la expresión algebraica que expresa el área del terreno
Answer:
X^2+14x +40
Step-by-step explanation:
La base es x+4 y la altura es x+10 multiplicas la base por la altura
HELP!!!
42 is the product of 6 and y
Answer:
7
Step-by-step explanation:
Divide the 42 by 6 to get your answer. 42/6=7
This also works in reverse. 6*7=42
The answer: 42 is the product of 6 and y=7
Ok done. Thank to me :>
Solve for x in the equation X2 - 12%+ 36 = 90.
X
X = 6+3/10
Ox=6+2/7
<
= 12+ 3922
X= 12+3/10
X=
Answer:
x = 6 ± 3√
Step-by-step explanation:
Step-by-step explanation:Since this is an unfactorable expression, apply the Quadratic Formula, -b ± √b² - 4ac\2a,
The solutions to the equation are:
x = 6 + 3 √(10) or x = 6 - 3 √(10)
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
x² - 12x + 36 = 90
Subtracting 90 from both sides.
x² - 12x - 54 = 0
To solve for x, we can use the quadratic formula.
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation
ax² + bx + c = 0.
In this case, a = 1, b = -12, and c = -54.
Substituting these values into the formula.
x = (-(-12) ± √((-12)² - 4(1)(-54))) / 2(1)
x = (12 ± √(144 + 216)) / 2
x = (12 ± √(360)) / 2
x = 6 ± 3 √(10)
Therefore,
The solutions to the equation are:
x = 6 + 3 √(10) or x = 6 - 3 √(10)
Learn more about equations here:
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A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.
PLS HELP URGENTT
Answer:
Please give Brainliest!
Step-by-step explanation:
The three sides are 36ft, 72ft, and 59 ft.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
B.
Step-by-step explanation:
You just remove 3 zeros from 10.
10 —> 1 —> 0.1 —> 0.01 :)
Whats the answer to these questions?
Answer:
Answer is in the attached file.
Answer as a each as an algebraic expression.
Answer:
is saying the half of q is 9 so you have to find out the value of q and when you find out the value for example x=18 the half of 18 is 9 I don't know if you undertand my explication
Step-by-step explanation:
18 the half of 18 is 9 because 9+9=18
Graph y=2x+5 on the plane
Answer:
Incorrect
Step-by-step explanation:
for your slope go down two to the right one
An equation of a line is y = 3x -7. What would the SLOPE of a line parallel to this equation be?
Answer:
3
Step-by-step explanation:
If two lines are parallel then their slope is the same
y=mx+b
m= slope
b= y-intercept
Ok here’s another question
Answer:
20 necklaces
Step-by-step explanation:
If Elizebeth is starting off w/10 necklaces we can find on the graph that $10 buys an additional 10 necklaces. Now knowing that information we can add 10 necklaces to our original necklaces and get 20 necklaces. We can also find that our unit rate of change is 10 dollars : 10 necklaces or 1 dollar : 1 necklace. Knowing this can help us solve future problems like how many necklaces can Elizebeth get for x dollars.
Eva spent $11.61 downloading songs, and each song cost $1.29. Four students wrote and solved equations to find s, the number of songs that she downloaded. Which student wrote and solved the equation correctly?
Seba’s work:
1 dollar and 29 cents = 11 dollars and 61 cents. S = 10.
Ari’s work:
1 dollar and 29 cents = 11 dollars and 61 cents. S = 9.
Erick’s work:
StartFraction s Over 1 dollar and 29 cents EndFraction = 11 dollars and 61 cents. S = 14.98.
Daniel’s work:
StartFraction s Over 1 dollar and 29 cents EndFraction = 11 dollars and 61 cents. S = 9.
Answer:
1.29s = 11.61
s = 9
Step-by-step explanation:
1.29s = 11.61
s = 11.61/1.29
s = 9
Answer:
The correct answer is Ari's work
Step-by-step explanation:
right on edge
Welcome!^^
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY
Answer:
See image
Step-by-step explanation:
Use Pythagorean Theorem
a^2 + b^2 = c^2
See image