PLSSSSSSS HELP ME WITH THESE FOUR QUESTIONS (•‿•)

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

Answer:

-o.91

Step-by-step explanation:

first u - 10.75 by 11.66 and then u get the answer

Answer:

A

Step-by-step explanation:0.25 is a quarter so 1/4 is also a quarter so you juts add the subcalculus and you get the sum

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.

Hi there!

Finding the equivalen ratio means to find a equivalent numbers that’s equivalent to 6 and 7 which also means a number that 6 and 7 all goes into...

6,12,18,24,30,36,42

7,14,21,28,35,42

Final Result: 42

Answer:

-3-3x

Step-by-step explanation:

3-3(x-2)

3-3x+6

-3-3x

Answer:

-3x+9

Step-by-step explanation:

Answer:

b=53 degrees

Step-by-step explanation:

90 degrees - 37 degrees = 53 degrees

Answer:

200 tulips

Step-by-step explanation:

The computation of the number of tulips are shown below:

Given that

Ratio of number of tulips to number of ratios is 2:3 we can write 8:12

And, the peonies to roses are 1:4 we can write as 3:12

So,

Tulips : Roses : Peonies

8:12:3

Now

Total units of flowers + 8 + 12 + 3

= 23

For tulips it would be

= 575 × 8 ÷ 23 units  

= 200 tulips

Answer:

27

Step-by-step explanation:

first we can simplify by dividing by r

[tex] \frac{9 {r}^{2} }{r} = \frac{9 \times r \times r}{r} = 9 \times r \times 1 = 9r[/tex]

the r on the bottom of the fraction will cancel out one of the r's on top, this happens because anything divided by itself is 1, thus r divided by r is 1

finally we can evaluate when r =3,

9r = 9(3) = 27

Step-by-step explanation:

given

7f = 49

f = 49/ 7

f = 7

Hope it will help :)

Answer:

7

Step-by-step explanation:

[tex]7f = 49 \\ divide \: both \: sides \: by \: 7 \\ \frac{7f}{7} = \frac{49}{7} \\ f = 7[/tex]

Answer:

4.9%

Step-by-step explanation:

Answer:

Answer:

1.+25

2 -6

3 +6

4.

5. 0

Step-by-step explanation:

Sana Makatulong

Answer:

-1/20

look at the pic i have sent you, this might help you!

Answer: 0.06

Step-by-step explanation:

2/(3+25+2)=0.06

Answer:

?

Step-by-step explanation:

What is the question?

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

Answer:(-4,6)

i dunno it in units lol sowwy

Step-by-step explanation:

Answer:

C :35

Step-by-step explanation:

3to5 purple to green

times each side by 7 or add the same number repeatedly

Answer:

F = 15

Good luck! Have a wonderful day!

Answer:

WHat does that mean?/

Step-by-step explanation:

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]

Answer:

12 and 12

Step-by-step explanation:

12lcm +12lcm=24lcm

Answer:

the last set: {1, 1, 1, 1, 2, 2, 2, 2}

Step-by-step explanation:

Notice the smallest standard deviation will come from the addition of the differences between the average value and each individual number in the set.

We notice that there is one set where all values are very close to the average . This is the set:

{1, 1, 1, 1, 2, 2, 2, 2} whose clear average is 1.5 , and therefore the deviations from the mean will produce contributions of 0.5 for each of the elements.

Answer:

x= 110°

Step-by-step explanation:

if you continue drawing the top purple line you will have a triangle with three angles

70° ; is given

180-140= 40°; is the same angle as the supplement angle of 140° (complementary angles are congruent)

180-70-40 = 70°; because sum of angles in a triangle is 180°

So angle x= 180 -70 = 110 because are a linear pair

Answer:

110 deg

Step-by-step explanation:

The supplement of the 140 deg angle measures 40 deg.

Draw a line through the vertex where angle x is that is parallel to the other two lines. That line splits angle x into two angles, an upper angle and a lower angle.

By alternate interior angles, the lower angle that is part of angle x measures 70 deg. Also by alternate interior angles, the upper angle that is part of angle x  measures 40 deg.

x = 70 + 40 = 110

Answer: 110 deg