Find the 12th term of the geometric sequence 5,–25, 125, ...
Answer:
244140625
5¹²
it is a sequence of numbers in which each term is obtained by multiplying the preceding term by a constant. In other words, the ratio between a term and its preceding term is constant. And that constant is common ratio. Therefore, 12th term is 244140625.
please help i will give brainliest
[tex]\text{Given that,}\\\\\text{Width,}~ w = 3x-2\\\\\text{Length,}~ l = x+5 \\\\\\\text{Perimeter} =2(w+l) = 2(3x-2+x+5) = 2(4x +3) = 8x +6[/tex]
Solve the inequality:
12+x≥3(x-6)
Hello there! :)
The first step is to use the Distributive Property.
It states that
a(b+c)=ab+ac
Let's distribute 3, using this property:
3(x-6)=3x-18
Now, our inequality looks like so:
12+x≤3x-18
The next step is to move the variables to the left, using the opposite operation:
12+x-3x≤-18
12-2x≤-18
Now, move all the numbers to the right, using the opposite operation:
-2x≤-18-12
-2x≤-30
Divide both sides by -2 to isolate x.
Remember that when we divide by a negative variable, we change the inequality sign:
x≥15
Therefore, x≥15
Hope it helps.
~A lonely teen who helps others with a smile
-Grace :-)
Good luck.
The cattle at the Clinton Farm are fed 1/4 of a bale of hay each day. The horses are fed 2 times as much hay as the cattle. How many bales of hay are the horses fed each day?
Write your answer as a fraction or as a whole or mixed number.
Answer:
1/2 of a bale
Step-by-step explanation:
1/4 times 2 equals 1/2
A=6,500(1.0175)^4t
How long would the person need to leave their money in the bank until it reaches $20,100? Round the nearest whole number!
The time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years
Given the exponential equation expressed as:
[tex]A=6500(1.0175)^{4t}\\[/tex]
Given that A = 20100, Substituting into the expression will give;'
20100 = 6500(1.0175)^4t
20100/6500 = (1.0175)^4t
3.0923 = (1.0175)^4t
Taking the ln of both sides
ln3.0923 = 4tln(1.1075)
4t = ln3.0923 /ln(1.1075)
4t = 1.12891/0.1021
4t = 11.05690
t = 11.05690/4
t = 2.76
t ≈ 3 years
Hence the time it will take the pereson to leave their money in the bank until it reaches $20,100 is 3 years
Learn more on compound interest here: https://brainly.com/question/24274034
Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. What is the perimeter of Janice's fence if the area of her garden s 5,670 square feet?
Answer:
P = 342 ft
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightDistributive Property
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Factoring/ExpandingQuadratics
Solving quadratic equationsStandard Form: ax² + bx + c = 0Geometry
Area of a Rectangle Formula: A = lw
l is lengthw is widthPerimeter of a Rectangle Formula: P = 2w + 2l
l is lengthw is widthStep-by-step explanation:
Step 1: Define
Identify variables.
A = 5670 ft²
"Length that is 9 feet less than 3 times its width" → l = 3w - 9
Step 2: Find w
Substitute in variables [Area of a Rectangle Formula]: w(3w - 9) = 5670[Distributive Property] Expand: 3w² - 9w = 5670[Subtraction Property of Equality] Rewrite [Standard Form]: 3w² - 9w - 5670 = 0[Quadratic] Factor: 3(w - 45)(w + 42) = 0[Quadratic] Solve [Find roots]: w = -42, 45Since length/width cannot be negative, we know that w = 45 ft.
Step 3: Find l
Substitute in w [Length Formula]: l = 3(45) - 9[Order of Operations] Evaluate: l = 126 ftStep 4: Find Perimeter
Substitute in variables [Perimeter of a Rectangle Formula]: P = 2(45 ft) + 2(126 ft)[Order of Operations] Evaluate: P = 342 ft∴ The perimeter of Janice's fence is 342 ft.
Let width be x ft
Length be 3x-9ft
Now
Area=Length ×Breadth5670=x(3x-9)5670=3x²-9x3x²-9x-5670=0On solving we wI'll get x=-42,45
Take it positive
x=45width=45ftLength=3(45)-9=135-9=126ftNow
Perimeter
2(Length+Width)2(45+126)2(171)342ftA smoothie calls for of a peach, 8. of a banana, and a kiwi. What is the total quantity of fruits used for the smoothie
No of banana and kiwi = 8
So,
= 8×8
=64
Use a calculator to solve this question. This cube has volume 50cm cube. Work out the length of the side of the cube to 2 dp.
[tex] \sf \: = \sqrt[3]{50} \: \:cm \\ \sf \: = 3.68 \: cm[/tex]
So the length of the side of the cube is 3.68 cm.Answer:
3.68 cm
Hope you could get an idea from here.
Doubt clarification - use comment section.
Please I need help on this math question?
Hey can yall help me asap
Answer:
4 pieces of fruit
Step-by-step explanation:
48 divided by 12 = 4
28 divided by 7 = 4
Multiply the monomials:
3x^7, 4x^2 and -5x^3
Given monomials are 3x⁷ , 4x² and -5x³
On multiplying them then
⇛ (3x⁷)×(4x²)×(-5x³)
⇛(3×4×-5) × (x⁷×x²×x³)
⇛ -60×x^(7+2+3)
Since , a^m × a^n = a^(m+n)
⇛-60 × x¹²
⇛ -60x¹² Ans.
also read similar questions: Multiplying Polynomials by Monomials: 2x (5x-2) = 10x-4x...
https://brainly.com/question/21877934?referrer
Find the product of the monomial and the polynomial: 4x^3y^3*(3x^3-7xy^2+2xy-y)..
https://brainly.com/question/20695867?referrer
[tex]3x^7 .4x^2.(-5)x^3=3.4.(-5).x^{7+2+3}=-60x^{12}[/tex]
ok done. Thank to me :>
Describe the slope of the line with the equation
y = -4x + 10.
A: positive slope
B: negative slope
C: zero
D: undefined
[tex]\huge \tt༆ Answer ༄[/tex]
The given equation of the line is in slope intercept form, and if we equate the given equation with general equation of line (y = mx + c) , we will get slope (m) = -4
And therefore, the slope of the line is B
NegativeWhat number comes in the blank?
20 x 47 x 5 = ____ x 100
Answer:
47
Step-by-step explanation:
20*47= 940
940*5=4,700
47*100=4,700
Please help me!!!!!
Answer:
y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (5, 7 ) , then
y = a(x - 5)² + 7
To find a substitute (10, - 3 ) into the equation
- 3 = a(10 - 5)² + 7 ( subtract 7 from both sides )
- 10 = 5²a = 25a ( divide both sides by 25 )
[tex]\frac{-10}{25}[/tex] = a , that is
a = - [tex]\frac{2}{5}[/tex]
y = - [tex]\frac{2}{5}[/tex] (x - 5)² + 7 ← in vertex form
X
Multiply by taking
Multiply.
20 X 600
Stuck? Review related articles/videos or use a hint.
what does x equal?
3/4(x+21)=10 1/2
nineteen students named lacrosse as there favorite sport. explain how to use the circle graph for the total number of students? 20% chosr swimming 42% chose volleyball and 38% chose laccrosse
The total number of students is 50
The number of students that named lacrosse as their favorite sport is given as:
[tex]Lacrosse = 19[/tex]
From the circle graph, 38% chose lacrosse.
So, the proportion of students that represent lacrosse is:
[tex]Lacrosse = 38\% \times Students[/tex]
Substitute 19 for lacrosse
[tex]19= 38\% \times Students[/tex]
Multiply both sides by 100
[tex]1900 = 38 \times Students[/tex]
Divide both sides by 38
[tex]50 = Students[/tex]
Rewrite as:
[tex]Students = 50[/tex]
Hence, the total number of students is 50
Read more about circle graphs at:
https://brainly.com/question/24461724
Anyone Can you please check the already done one, and the rest I just need help!!! please:
Answer:
yes your math seems about right but wait for someone else to respond also because im not completely sure
Step-by-step explanation:
At the bakery shop, each baker works at his or her own speed, making the same number of cakes each day. Marissa makes 28 cakes in 2 weeks, Carlos makes 60 cakes in 20 days, and Shelby makes 5 cakes in 2 days.
When the shop owner graphs the relationship between the number of cakes made and days, who has the steepest graph? Explain.
Answer:
The rate of speed is Carlos
Step-by-step explanation:
M- 28 c in 14 days
C- 60 c in 28 days (2x as much as M)
S- 5 c in 2 days
You invest $4,300 in an account that pays you an interest rate of 8.5%, compounded continuously. Calculate the balance of your account after 10 years. Round your answer to the nearest hundredth.
Answer:
The amount is $8358.7 and the interest is $3858.7.
Explanation:
STEP 1: To find amount we use formula:
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
Step-by-step explanation:
Calculate the volume of a sphere with radius 2.5 meters.
36.81 m3
65.45 m3
8.18 m3
26.18 m3
[tex]\huge \bf༆ Answer ༄[/tex]
Let's calculate the volume of sphere with :
radius = 2.5 m[tex] \sf \: vol = \dfrac{4}{3} \pi {r}^{3} [/tex]
Now, plug the value of radius (r) and find volume ~
[tex] \sf \dfrac{4}{3} \times 3.14 \times 2.5 \times 2.5 \times 2.5[/tex][tex] \sf \dfrac{12.56}{3} \times \dfrac{25 \times 25 \times 25}{1000} [/tex][tex] \sf \dfrac{12.56 \times 15625}{3} \times \dfrac{1}{1000} [/tex][tex] \sf \approx65416.67 \times \dfrac{1}{1000} [/tex][tex] \approx65.416[/tex]The value closest to it is 65.45
Therefore, that's the most appropriate choice ~
[tex] ꧁ \large \rm{kaul} \: ꧂[/tex]
No files please help me on this for math
Answer:
y=3x+8
Step-by-step explanation:
Answer:
y=1.5x+11
Step-by-step explanation:
I really need help!
If two noncollinear segments on a coordinate plane have a slope of 3, what can you conclude?
Answer:
Two non co-linear segments with a slope of 3 in a coordinate plane would mean that the two segments are parallel to each other and not attached to each other. Having the same slope is the definition of being parallel in the same plane.
Step-by-step explanation:
What is an equation of the line that passes through the points (-6, -4)(−6,−4) and (3, 8)(3,8)?
Answer:
y = 4/3x + 4
Step-by-step explanation:
-4 - 8 / -6 - 3
-12 / -9
4/3 is slope
y = 4/3 x + b so we need to find b
Put one of the points in for y and x.
-4 = 4/3 (-6) + b
-4 = -8 + b
4 = b
y = 4/3x + 4
solve the following equation
Hi,
x² + 8x + 12 = 0
a= 1 ; b= 8 c= 12
∆ = b² - 4ac
∆ = 8² - 4*1*12
∆ = 64 - 4*12
∆ = 64 - 48
∆ = 16
∆>0 :
x1 = (-b-√∆)/2a = (-8-4)/2 = -12/2 = -6
x2 = (-b+√∆)/2a = (-8+4)/2 = -4/2 = -2
S= { -6 ; -2 }
x = -6
or x = -2
✅(•‿•)
Answer:
x = -6 x = -2Step-by-step explanation:
x² + 8x + 12 = 0
➺ x² + 2x + 6x = 0
➺ x(x + 2) + 6(x + 2) =0
➺ (x + 6)(x + 2) = 0
Whether, x + 6 = 0
⠀⠀⠀⠀⠀➺ x = -6
⠀⠀or,⠀⠀⠀⠀ x + 2 = 0
⠀⠀⠀⠀⠀⠀➺ x = -2
heyyyy I rlly need help on this homework question its overdue and i need to turn it in :(
Tell whether the given value is a solution of the inequality 5+j>8.
Answer:
j>3
Step-by-step explanation:
hope this helps sorry if it doesn't have a great rest of your night :)❤
1.0.2217.9-(4.1 + 1.8)] -0.22+ [7.9 - 0.224
Answer:
hhhhhhhhhhhhhh
Step-by-step explanation:
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
what is the value of the 4 in the number 546210?
give your anwer in words
Answer:
1000
Step-by-step explanation:
Answer:
10000 or 40000 pls mark this answer as brain list
PLZ HELP ME
NO LINKS PLZ
Answer:
the domain is -11,10 but i didnt know if you wanted that or not
Step-by-step explanation:
Gravitational energy_____.
A. is a type of potential energy
B. Is the energy of an object position
C. Is stored energy
D. All of the above
SOLVE QUICKLY PLEASE!!
Answer:
A. is the type of potential energy
Step-by-step explanation:
examples of gravitational potential energy : a raised in weight , a yoyo,water in a dam,a car parked on a hill