Find the 9th term of the geometric sequence.

The value of   [tex]\rm log_7343[/tex]  is 3 the option fourth is correct.

It is given that the [tex]\rm log_7343[/tex]

It is required to find the value of  [tex]\rm log_7343[/tex]

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b=c\\\rm log_ac=b[/tex]

We have  [tex]\rm log_7343[/tex]

We know the logarithm properties that:

[tex]\rm log_ac^n = n\times log_ac[/tex]

[tex]\rm log_ca = 1 \ \ if \ a=c[/tex]

We can write [tex]\rm log_7343[/tex] as

= [tex]\rm log_77^3[/tex]   (∵ 343 = [tex]7^3[/tex])

= [tex]\rm 3log_77[/tex]    [tex]\rm (log_ac^n = n\times log_ac)[/tex]

= 3            [tex](\rm log_ca = 1 \ \ if \ a=c)[/tex]

Thus, the value of   [tex]\rm log_7343[/tex]  is 3 the option fourth is correct.

Learn more about the logarithm here:

brainly.com/question/163125

Answer:

D

Step-by-step explanation:

Answer:

1 1/2 (mixed)

3/2 (improper)

Step-by-step explanation:

When the one is put to the side, you get 5/10 if you turn "0.5" into a frsaction. if you simplify 5/10, you get 1/2. Therefore, 1 1/2 is your answer. Your not done yet! After, you need to change 1 1/2 into a improper fraction which is 3/2.

good luck :)

3/2

is the answer to this question

Answer:

Yes.

Step-by-step explanation:

7 x 8= 56

9 x 8= 72

56/72 is proportional to 7/9

Answer:

[tex]\frac{56}{72}[/tex] and [tex]\frac{7}{9}[/tex] are indeed proportional

Step-by-step explanation:

In order to confirm that [tex]\frac{7}{9}[/tex] is proportional to [tex]\frac{56}{72}[/tex], you need to make sure both fractions share the same denominator. In this case, it is better to multiply 9 by a value that causes the product to be 72 than to divide 72 by a number to get to 9. 72 is eight times greater than 9, so you multiply [tex]\frac{7}{9}[/tex] by [tex]\frac{8}{8}[/tex] (This is important as you need to make sure you aren't changing the value of the fraction when multiplying a number to it, so you must be sure to multiply your fraction by the number over itself - which is essentially one - to ensure that you are keeping the value of the fraction the same) and you will get [tex]\frac{7*8}{9*8} =\frac{56}{72}[/tex], this means the fractions [tex]\frac{7}{9}[/tex] and [tex]\frac{56}{72}[/tex] are proportional.

Answer:

57,700.10

Step-by-step explanation:

To solve, we use the equation [tex]17,600(1.16)^8[/tex]

we set it to the power of 8, since it is compounding quarterly this means it compounds 4 times a year, and since there is 2 years, we get 8 compounds.

please rate and mark as brainlest

Answer:

Yes they are similar

Step-by-step explanation:

Divide the length VW by ST

24 ÷ 16 = 1.333

Divide the length VU by SR

16 ÷ 12 = 1.333

→ As they have the same scale factor, they are similar.

Answer:

Step-by-step explanation:

First when triangles are similar angles are congruent and the side ratio are the same .

18/24=12/16=m/32

3/4=3/4=m/32

3/4=m/32

4m=96

m=24

Answer:

See below, please

Step-by-step explanation:

Left side

[tex] {(2x + 1)}^{2} - {(x + 1)}^{2} [/tex]

[tex] = (4 {x}^{2} + 4x + 1) - ( {x}^{2} + 2x + 1)[/tex]

[tex] = (4 {x}^{2} - {x}^{2} ) + (4x - 2x) + (1 -1 )[/tex]

[tex] = 3 {x}^{2} + 2x[/tex]

Right side

[tex]3 \times {(x + 1)}^{2} - 1[/tex]

[tex] = 3 \times ( {x}^{2} + 2x + 1) - 1[/tex]

[tex] = 3 {x}^{2} + 6x + 3 - 1[/tex]

[tex] = 3 {x}^{2} + 6x + 2[/tex]

After compared with both sides, we can make a conclusion that

This equation isn't an identity.

Answer:

-76

Step-by-step explanation:

b(3)=2-3^3 = -25.

So a(b(3))=a(-25)=3(-25)-7=-82.

a(3)=3(3)-7=2.

So b(a(3))=2-2^3 = -6.

Therefore, the value of the desired expression is -82-(-6)=-76

The value of the required function [tex]a(b(3)) - b(a(3))[/tex] is (-88).

"A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math. f = {(a,b)| for all a ∈ A, b ∈ B}

A relation is said to be a function if every element of set A has one and only one image in set B.

A function is a relation from a non-empty set B such that the domain of a function is A and no two distinct ordered pairs in f have the same first element."

Given two functions are:

[tex]a(x) = 3x - 7\\b(x) = 2 - x^{3}[/tex]

When the value of 'x' is 3, then the values of the given two functions are:

[tex]a(3) \\= 3x - 7\\= 3(3)-7\\= 9-7\\= 2[/tex]

[tex]b(3)\\= 2 - x^{3}\\= 2-(3)^{3}\\= 2-27\\= -25[/tex]

Now the value of the required function is:

[tex]a(b(3)) - b(a(3))\\= a(-25)-b(2)\\= [3(-25)-7]-[2-2^{3}]\\= (-75-7)-(2-8)\\= -82-6\\= -88[/tex]

Therefore, the value of the required function is (-88).

Learn more about a function here:

https://brainly.com/question/12431044

#SPJ2

point-slope form:

slope intercept form:

Equation:

[tex]\sf \hookrightarrow y-6 = \dfrac{3}{5} (x-5)[/tex]               [tex]\sf [ \ this \ is \ point \ slope \ form \ equation \ ][/tex]

[tex]\sf \hookrightarrow y-6 = \dfrac{3}{5} x-3[/tex]                               ----------------

[tex]\sf \hookrightarrow y= \dfrac{3}{5} x-3+6[/tex]                                        -------------------

[tex]\sf \hookrightarrow y= \dfrac{3}{5} x+3[/tex]                         [tex]\sf [ \ this \ is \ slope \ intercept \ form \ equation \ ][/tex]

Answer:

[tex]\boxed{y - 6 = \dfrac{3}{5} (x - 5)}[/tex]

Step-by-step explanation:

Given:

Formula:

Substitute the values into point slope form to determine the equation of the line in point slope form.

[tex]\implies y - y_{1} = m(x - x_{1} )[/tex]

[tex]\implies \boxed{y - 6 = \dfrac{3}{5} (x - 5)}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

1. D, 2. B

Step-by-step explanation:

1. D. 1.15b

2. -4(x + 2) - 1/2(2x - 6)
(-4x -8) - (x - 3)
B. - 5x - 5

Hope this helps :)

The number of customers who will pay by debit card will be 50.

The fraction is defined as the division of the whole part into an equal number of parts.

Last week there were

32 + 2 + 26 = 60 customers.

That means that the fraction of the customers, who paid by debit card, was

2/60  =   1/30

In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/30 if customers use credit cards.

for the absolute number of predicted debit  card customers we multiply the predicted number of customers by the expected fraction

1500  × 1 / 30 = 1500  /  30  = 50

Therefore the number of customers who will pay by debit card will be 50.

To know more about fractions follow

https://brainly.com/question/78672

#SPJ2

Answer:

I am pretty sure it is 100in^3 + s^3

Answer:

78,4 cm^2

Step-by-step explanation:

I did this in my head so i could be wrong but im pretty certain this is right

Answer:

B

Step-by-step explanation:

If you were to add 4 to both sides, you would have X + 8 = 11

But when you subract, you get X = 7-4, X = 3.

Answer:

96 inches

Step-by-step explanation:

The answer is 96 inches because you have to multiply, 4x6 to get 24 then, since you have four band member pictures,you have to multiply it by four. So it will cover 96 inches.

_5×1_5=_10

_5×2_5=_15

_5×3_5=_20

Answer:

z = 180°

Step-by-step explanation:

First, find the sum of the interior angles b using the following formula. S is sum and n is the number of sides.

S = (n-2)180

S = (6 - 2)180

S = (4)180

S = 720°

Next, make an equation adding all the interior angles and setting them equal to 720.

t + t + 2t + t + t + 2t = 720

8t = 720

8t/8 = 720/8

t = 90°

Finally, find the measure of angle z by substituting 90° for t.

z = 2t

z = 2(90)

z = 180°

Answer:

See explanation

Step-by-step explanation:

look photo

Answer:

28.274 cm^2

Step-by-step explanation:

A = pi * r^2

A = pi * 3^2

A = pi * 9

28.2743338823

or

28.274

Answer:

Step-by-step explanation:

Option B

Because if you start with one dollar and by day 3 you get 301 dollars and option A only gives you 8 cents on day 3 you get more money by the end of the month if you choose option B.

Answer: A is the correct answer

Step-by-step explanation:

Its a because the amount keeps doubling so you will start with =

.1 then go too .2 (which is double .1)

then after .2 you will get .4( which is double .2 i will show you the graph.

.1,  .2,  .4,  .8,  1.6,   3.2,   6.4 etc. Then when you get to day 30 you will have

53.687 million dollars, buy the end of them month, you'd be a millionaire.

[tex]3 \frac{3}{5} + 1 \frac{1}{6} = \\ [/tex]

[tex] \frac{(3 \times 5) + 3}{5} + \frac{(1 \times 6) + 1}{6} = \\ [/tex]

[tex] \frac{15 + 3}{5} + \frac{6 + 1}{6} = \\ [/tex]

[tex] \frac{18}{5} + \frac{7}{6} = \\ [/tex]

[tex] \frac{18 \times 6}{5 \times 6} + \frac{7 \times 5}{6 \times 5} = \\ [/tex]

[tex] \frac{108}{30} + \frac{35}{30} = \\ [/tex]

[tex] \frac{108 + 35}{ 30} = \\ [/tex]

[tex] \frac{143}{30} \\ [/tex]

Step-by-step explanation:

a parallelogram has 2 pairs of equation sides (as a rectangle, just not necessarily with the 90° angles).

so, when one side is 16 cm, then there is a second side with 16cm.

the perimeter is the sum of all 4 sides (the 2 pairs of sides) : 48 cm.

and we know the length of one of these pairs : 2×16 = 32 cm.

what is left for the second pair of sides ?

48 - 32 = 16 cm

so, these 16 cm is the sum of a pair of equally long sides. that means their are

16/2 = 8 cm

long each.

so, the length of the "remaining" side is 8 cm.

Answer:

Two conditions must be satisfied. First, the revenue must be earned, which typically means that the customer has received the good or service. Second, the revenue must have been realized or realizable, implying that the customer has paid or is expected to pay for the merchandise.

Step-by-step explanation:

[tex]watch.some.anime[/tex]

Answer:

96

Step-by-step explanation:

L=6

W=2

H=8

LxWxH=8x6x2=96

8x6=48

48x2=96

Answer:

76

Step-by-step explanation:

the answer is 76 because I took the test

Answer:

The perimeter is 24 feet :]

hope this helps! <33

Answer:

12 feet

Step-by-step explanation:

The perimeter of a rectangle is just the sum of all the sides. There are four sides, two that represent the width, and two that are the length. Basically, the easiest way for us to find the perimeter of this shape is to add together the length and the width 2 times.

4 + 2 + 4 + 2 = 12

So, the perimeter of the mirror is 12 feet! I hope this helps! Have a lovely day!! :)

Answer:

(1). [tex]5^{4}[/tex] × [tex]13^{7}[/tex] ; (2). 3 - 5x

Step-by-step explanation:

1). [( - 5 )³ · ( - 5 )] ( [tex]13^{-2}[/tex] · [tex]13^{9}[/tex] ) = [tex](-5)^{3+1}[/tex] × [tex](13)^{-2+9}[/tex] = [tex](-5)^{4}[/tex] × [tex]13^{7}[/tex] = [tex]5^{4}[/tex] × [tex]13^{7}[/tex]

2). - 25x² ÷ 5x + 15x ÷ 5x = 3 - 5x

Answer:

30 books

Step-by-step explanation:

Each book is equal to 10 books so you can see Mark has three more books than Eric. Multiply that by 10 and you get 30

Answer:

2x^2 - 10x - 8.

Step-by-step explanation:

f(x) = 2(x - 1)(x + 4)    

= 2(x^2 - x - 4x - 4)

= 2(x^2 - 5x - 4)

= 2x^2 - 10x - 8.

[tex]===================================[/tex]

let's find the value of h(2)

we know that

h(r)=5r-5

which means

h of r is 5 times r minus 5

hence

h of 2 is 5 times 2 minus 5

simplify:

h(2)=5(2)-5

h(2)=10-5

h(2)=5

[tex]==================================[/tex]

Answer:

5

Step-by-step explanation:

h(2)=5r-5

=5×2-5

=10-5

=5

Answer:

2

Step-by-step explanation:

i was told it was correct and 3x1=3   6 divided by 3=2

is how i figured it out.