Answer:
3:4
Step-by-step explanation:
This ratio can be written as 15/20. 15 and 20 are both divisible by 5 so if you simplify this fraction by dividing both numbers by 5 you get 3/4 or 3:4.
In a GP, the sixth term is eight times the tenth term. The sum of the seventh and the eighth term is 192. Find the common ratio and the first term?
Let a(n) denote the n-th term in the GP. We're given
a(6) = 8a(10)
a(7) + a(8) = 192
In a geometric progression, consecutive terms are scaled up or down by a fixed ratio r such that
a(n) = r a(n - 1)
By substitution, we get
a(n) = r (r a(n - 2)) = r ² a(n - 2)
and we can continue the pattern down to the first term,
a(n) = r a(n - 1) = r ² a(n - 2) = r ³ a(n - 3) = … = rⁿ ⁻¹ a(1)
So we can rewrite the first two equations in terms of the first term of the GP a(1) and the common ratio r :
r ⁵ a(1) = 8r ⁹ a(1)
r ⁶ a(1) + r ⁷ a(1) = 192
Solve the first equation for r :
r ⁵ a(1) = 8r ⁹ a(1) → 1 = 8r ⁴ → r = 1/∜8 ≈ 0.5946
Solve the second equation for a(1) :
r ⁶ a(1) + r ⁷ a(1) = r ⁶ a(1) (1 + r ) = 1/(16√2) a(1) (1 + 1/∜8) = 192
→ a(1) = 6144 ∜2 / (1 + ∜8) ≈ 2724.48
Factor out the greatest common factor from –12a – 8a2.
Question 3 options:
A)
–4a(3 + 2a)
B)
2a(6 – 4a)
C)
–2a(6 + 4a)
D)
4a(3 – 2a)
Answer:
A -4a(3 + 2a)
Step-by-step explanation:
-12a - 8a^2) factor out a -4
-4(3a + 2a^2) factor out an a
-4a(3 + 2a)
7+x/5=-4whats the answer
Answer:
-55
Step-by-step explanation:
7+x/5=-4
Subtract 7 from both sides
x/5 = -11
multiply both sides by 5
x = -55
üç basamaklı en küçük pozitif tam sayı ile Bir basamaklı en büyük negatif tam sayının toplamı kaçtır?
A)998 B)990 C)99 D)91
The school library is combining books from two storage units into a newly designed area for the library. The first original unit held 186 books
and the newly designed area has 307 books. Find the number of books in the second storage unit of the library.
Use the variable b for the number of books.
Answer:
221 books
Step-by-step explanation:
Задача
Из двух пунктов
одновременно навстречу
друг другу вышли два
человека. Один двигался со
скоростью 2,6 км/ч, а другой
Со скоростью 1,3 км/ч. Какое
расстояние они прошли
вместе, если встретились
через 2,1ч?. .
помогите пожалуйста
Answer:
Sorry. I can't answer your question because I can't understand that language. Can you put translate it in English?ue
deg
отім . opea . 1əqo
Learning Task 1: Name a positive or
situation. Write your answer in your noteb
1. Saving 25php
2. 6 feet below the ground
3. what is the opposite of -6
4. When a player to a basketball team
against their opponent.
5. what is the sum of -8 + 8?
.
Answer:
1.+25
2 -6
3 +6
4.
5. 0
Step-by-step explanation:
Sana Makatulong
PLS ITS URGENT
Question
LE
Find the measure of 2B. Use the inverse tangent (tan-') function of your calculator. Express your answer
to the nearest degree.
Answer:
43 degrees
Step-by-step explanation:
Using SOHCAHTOA, you are given the opposite and adjacent, the opp being 15 and the adj being 16.
Tan B = [tex]\frac{opp}{adj}[/tex]
Tan B = [tex]\frac{15}{16}[/tex]
B = [tex]tan^{-1}[/tex]([tex]\frac{15}{16}[/tex])
B = 43.15238973 degrees
Therefore, the answer is 43 degrees since you're looking for it to the nearest degree.
Answer:
43 degrees
Step-by-step explanation:
i did the work
raíz cuadrada de 19384
Answer:
WHat does that mean?/
Step-by-step explanation:
May someone please help me out with this? Look at the image above. How do I do this? May someone help me out please
Answer:
u = 9
Step-by-step explanation:
angle c and a are congruent so take the 2 angles and turn them into an equation
u + 99 = 12u
subtract 1u from both sides, you're left with 99 = 11u
now, divide each side by 11
now you'll get the value of u which is 9 (u = 9)
since 99/11 is 9 that's the value of u.
can someone help me solve this please :))
one bar of candy A and two bars of candy B have 769 calories. Two bars of candy A and one bar of candy B contain 776 calories. Find the caloric content of each candy bar.
Step-by-step explanation:
Hjqjzjzj is a complete* of the following elements has the largest atomic size in the world is the difference between human rights
Answer:
We know:
A+2B=777
2A+B=789
Let's rearrange the first equation to solve for A:
A=777-2B
Now let's plug 777-2B in for A in the second equation, and solve for B:
2(777-2B)+B=789
1554-4B+B=789
1554-789=3B
765=3B
B=255
Now we can substitute 255 in for B in the first rearranged equation, and solve for A:
A=777-2(255)
A=777-510
A=267
So candy bar A has 267 calories, and candy bar B has 255
I Hope it helps
Help ya girl out plsss
Answer: Scalane acute
Step-by-step explanation:
Answer:
Equilateral Acute.
Step-by-step explanation:
A triangle with 3 congruent angles is an equalateral triangle and all sides are acute
round to the nearest hundredth
Answer: 0.06
Step-by-step explanation:
2/(3+25+2)=0.06
find the result when you subtract (5y+9z)to(4y-7z)
A. -y-16z
B.-y+16z
C.9y+2z
D.9y-2z
which pair of numbers has an Lcm of 24?
Answer:
12 and 12
Step-by-step explanation:
12lcm +12lcm=24lcm
the diameter of a baseball is approximately 3 inches. what is its volume?
Answer:
About 14.14
Step-by-step explanation:
V = 4/3pi x r^3
To find the radius, divide the diameter by 2 (1.5)
Substitute 1.5 in place of r and solve the equation.
Answer:
14 in^3
Step-by-step explanation: had the question too and got it right
Let f(x) = 3x^2+5, g(x)=3x-4. Find the following value or expression
(F*g)(x)=
Answer:
(f οg )(x) = 27 x² -36 x + 53
Step-by-step explanation:
Explanation:-
Given the function f(x) = 3 x² +5 and g(x) = 3x-4
(f οg )(x) = f(g(x)
= f(3x-4)
= 3 ( 3x-4)² +5 ( ∵ f(x) = 3 x² +5)
= 3 ( 9 x² - 2(3x)(4)+(4)²) +5
= 3 ( 9 x² -12 x + 16) +5
= 27 x² -36 x + 48 +5
= 27 x² -36 x + 53
Final answer:-
(f οg )(x) = 27 x² -36 x + 53
[tex](2y{}^{3}) {}^{2} [/tex]
answer:2y6
Ce clasă ești sa văd daca te pot ajuta
Q10) A book was sold for Rs. 550 with a profit of 10%. What was its cost price? *
Answer:
CP = Rs 500
Step-by-step explanation:
Given that,
Selling price of a book, SP = Rs 550
Profit percent = 10%
We need to find the cost price of the book. The formula for profit percent is given by :
[tex]P\%=\dfrac{SP-CP}{CP}\times 100\\\\\dfrac{10}{100}=\dfrac{550-CP}{CP}\times 100\\\\\dfrac{1}{10}=\dfrac{550-CP}{CP}\\\\CP=5500-10CP\\\\CP+10CP=5500\\\\11CP=5500\\\\CP=500[/tex]
So, the cost price of the book is Rs 500.
you order items from a menu that total $10.75. your bill comes to $11.66, including tax. what is the percent of increase (tax)
i would love if someone can help me please it is due on the 19th
Answer:
-o.91
Step-by-step explanation:
first u - 10.75 by 11.66 and then u get the answer
what is the value of f in f/3+22=17
Answer:
F = 15
Good luck! Have a wonderful day!
Help me please I need the answer for questions 9 part A and Part B
Answer:
Part A:
c = 4 + 1.50h
c = 1 + 3h
Part B:
2 hours
$7
Step-by-step explanation:
Part A:
Number of hours = h
Cost = c
Cost for Ice Dream:
c = 4 + 1.50h
Cost for Skating Paradise:
c = 1 + 3h
Part B:
Set the equation equal to each other and solve for h:
4 + 1.50h = 1 + 3h
Collect like terms
4 - 1 = -1.50h + 3h
3 = 1.50h
Divide both sides by 1.50
3/1.5 = h
2 = h
h = 2
The cost for both locations would be equivalent at 2 hours
✔️The cost is:
4 + 1.50h = 1 + 3h
4 + 1.50(2) = 1 + 3(2)
4 + 3 = 1 + 6
7 = 7
The cost is $7
Isabella invested $500 at 6% annual interest, compounded quarterly. How much will her Investment be after 25 years.
Answer:
$2216.02
Step-by-step explanation:
Compound interest formula:
[tex]FV=PV(1+\frac{i}{n})^{nt}\\\\FV=500(1+\frac{.06}{4})^{25*4}\\\\500(1.015)^{100}\\=2216.02[/tex]
2+2
uhhh help plzzzzzz
Answer:
6
Step-by-step explanation:
4
What is the area of this quadrilateral?
Answer:
c
Step-by-step explanation:
what number goes into 105 and 90
Answer:
15
Step-by-step explanation:
Yw
Answer:
5
Step-by-step explanation:
Describe what you notice when you create the inverse ratio.
can you find the measure of b plz
Answer:
b=53 degrees
Step-by-step explanation:
90 degrees - 37 degrees = 53 degrees
Find the average rate of change
Replace x with 1 nd solve, then replace x with 3 and solve:
x^3 - 2x^2 +3x
When x = 1: 1^3 -2(1)^2 +3(1) = 3 -3 +3 = 3
When x = 3: 3^3 -2(3)^2 + 3(3) = 27 -18 +9 = 18
The difference between the two solutions is 18-3 = 15
The difference between the two x values = 3-1 = 2
The rate of change is 15/2 or 7.5 as a decimal.