Can some one help me?

Answer:

[tex]T_n=(4-n)\text{log}_a(3)+\text{log}_a(2)[/tex]

Step-by-step explanation:

nth term of an A.P. is given by the explicit formula,

[tex]T_n=a+(n-1)d[/tex]

Here, 'a' = First term

n = number of term

d = common difference

For an A.P. given as,

[tex]\text{log}_a(54),\text{log}_a(18),\text{log}_a(6),....[/tex]

First term 'a' of the given A.P. = [tex]\text{log}_a(54),[/tex]

Common difference 'd' = [tex]T_2-T_1[/tex]

                                       = [tex]\text{log}_a(18)-\text{log}_a(54)[/tex]

                                       = [tex]\text{log}_a(\frac{18}{54})[/tex]

                                       = [tex]\text{log}_a(\frac{1}{3})[/tex]

                                       = [tex]-\text{log}_a(3)[/tex]

[tex]T_n=\text{log}_a(54)+(n-1)[-\text{log}_a(3)][/tex]

    [tex]=\text{log}_a(54)-(n-1)\text{log}_a(3)[/tex]

    [tex]=\text{log}_a(3^3\times 2)-(n-1)\text{log}_a(3)[/tex]

    [tex]=\text{log}_a(3^3)+\text{log}_a(2)-(n-1)\text{log}_a(3)[/tex]

    [tex]=3\text{log}_a(3)+\text{log}_a(2)-(n-1)\text{log}_a(3)[/tex]

    [tex]=3\text{log}_a(3)+\text{log}_a(2)-n\text{log}_a(3)+\text{log}_a(3)[/tex]

    [tex]=4\text{log}_a(3)+\text{log}_a(2)-n\text{log}_a(3)[/tex]

    [tex]=(4-n)\text{log}_a(3)+\text{log}_a(2)[/tex]

Answer:

I guess that the shaded area is a quarter of a circle of radius 12 units.

Is easy to know that the area, will be equal to the quotient between the area of a circle of radius 12, and 4

We know that the area of a circle of radius R is:

A = pi*R^2

in this case, R = 12

pi = 3.14

Then:

A = 3.14*12^2 = 452.16

And a fourth of that is:

A/4 = (452.16)/4 = 113.04

The area of the shaded region is 113.04 square units

Answer:

18

Step-by-step explanation:

If you want to give people something, you need to divide the number that she is sharing (75) and the number of how many people she is sharing with (4).

So 75/4 = 18

So 18 marshminnows are left for Gracie.

Answer:

56-5x4

Step-by-step explanation:

The reason you want to do it that way is because they will cansle eatch other out

Answer:

6.5978 years

Step-by-step explanation:

y=7.72(1.04)^t

10=7.72(1.04)^t

1.04^t=1.2953367875647668

log 1.04^t=log 1.2953367875647668

t log 1.04=log 1.2953367875647668

t=6.5978 years .............

Answer:

x=-1

Step-by-step explanation:

-x+3=4

-3     -3

-x=1

multiply by negative one to get rid of negative in front of x

x=-1

Answer:

here we have to bring the +4 into first part then -x in second part then it will be 3-4=x

then solve now -1=x

Note that x and y are nonzero integers. It means that x and y will always have same sign (both are either positive or negative, since they are nonzero). Hence, xy term is always positive.

Answer:

No, if y happens to be a larger integer than x, then the result will be negative.  

Step-by-step explanation:

For example, lets say that x=4 and y=9, so x-y = 4-9 = -5.  

But if we were to reverse it and make x=9 and y=4, then x-y = 9-4 = 5.

Answer:

Which place are you rounding with?

If your rounding with ones then the answer will be 73,690

If your rounding with tens then the answer will be 73,700

If your rounding with hundreds then the answer will be 73,600

If your rounding with thousands then the answer will be 74,000

There you go and your welcome!

Answer:

b=-1

Step-by-step explanation:

10(1+3b)=-20

1+3b=-2

3b=-3

b=-1

Answer:

y=-2(×-1/2)

Step-by-step explanation:

...........

Answer:

The correct option is;

It has the same slope and a different y-intercept

Step-by-step explanation:

The data on the table can be presented as follows;

x      [tex]{}[/tex]       y

-2/3     [tex]{}[/tex]   -3/4

-1/6     [tex]{}[/tex]    -9/16

1/3    [tex]{}[/tex]     -3/8

5/6    [tex]{}[/tex]   -3/16

The rate of change of the function, m = (-3/16 - (-3/4))/(5/6 - (-2/3)) = 3/8

The equation of the line given by the data points in point and slope form is given as follows;

y - (-3/16) = 3/8×(x - 5/6)

y = 3·x/8 - 5/16 - 3/16 = 3·x/8 - 1/2

y = 3·x/8 - 1/2

The y intercept is given at when x = 0, therefore, at the y-intercept, y = 3 × 0/8 - 1/2 = -1/2

The y-intercept is (0, -1/2)

The x-intercept occurs at y = 0, therefore, at the x-intercept, we have;

0 = 3·x/8 - 1/2

∴ 3·x/8 = 1/2

x = 4/3

Therefore, the x-intercept is 4/3 and the coordinates of the x-intercept is (4/3, 0)

Given that the x-intercept is different, the y-intercept of the two lines with the same slope are also different

The correct option is therefore that it has the same slope and a different y-intercept;

Answer:

the answer is B

Step-by-step explanation:

I believe it’s travel and tourism. Hope this helps!

Answer:

Manufacturing is the largest industry In the world.

Answer:1

Step-by-step explanation:

Answer:

-2.5

Step-by-step explanation:

6.4u-5.1u=-3.25

1.3u=-3.25

u=-3.25/1.3

u=-2.5

9514 1404 393

Answer:

  The graph of g is 3 units above the graph of f.

Step-by-step explanation:

Adding 3 to each y-value shifts the graph up 3 units.

__

In the case of the straight line given here, it also has the appearance of shifting the graph left. The left-shift, however, is not 3 units. The amount of apparent horizontal shift will depend on the slope of the original line.

Answer:

The answer is above

Step-by-step explanation:

its above because the sign is positive

Answer:

For addition 7 1/4. For subtraction 1 3/4. For multiplication 12 2/8. For division 1 7/11.  

Step-by-step explanation:

Answer:

Amt. = 45000 ( 1+ 10/100 ) ^3

Interest = 45000 - Amt.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

D

Step-by-step explanation:

I know because I am smart. Trust me, it is D.

Its D

Step-by-step explanation:

pwease ik

Answer:

5358

Step-by-step explanation:

The equation modeling the population growth of a small town is given as:

P(t)=30000(1.02)^t

When t = 2

P(2) = 30000(1.02)^2

P(2) = 31212

When t = 10

P(10) = 30000(1.02)^10

P(10) = 36569.8326

The approximate population change that occurs between 2 years from now and 10 years from now is calculated as:

= P(10) - P(2)

= 36569.83259984272 − 31212

= 5357.8325998

Approximately ≈ 5358

Answer:

[tex]G(x) = 2x^2+6[/tex].

Step-by-step explanation:

The given function is

[tex]f(x) = \frac 2 3 x^2 +2[/tex]

On vertical stretch by a factor of 3, the new function G(x) is

G(x) = 3 f(x)

So, [tex]G(x) = 3 \times ( \frac 2 3 x^2 +2)= 2x^2+6[/tex]

Hence, the required function is [tex]G(x) = 2x^2+6[/tex].

Answer:

a² = 144

b² = 25

c² = 169

c = 13

Step-by-step explanation:

• a² = 12×12

= 144

• b² = 5×5

= 25

• a² + b² = c²

= 144 + 25 = 169

• c = _/169

= 13

Answer:

Concept: Linear Algebra

Answer:

y = 300

Step-by-step explanation:

y = 250 (1+0.2)

First add the 1 and 0.2

y=250(1.2)

multiply 250 with 1.2

y = 300

:)

Answer:

23

Step-by-step explanation:

Suppose,

the first number = x

the second number = x+1

the third number = x+1+1 = x+2

Question wise,

x+x+1+x+2 = 72

3x+3 = 72

3x = 72-3 = 69

x = 69/3 = 23

so the numbers are,

23,(23+1)=24 and (23+2)=25

Answer:

0.82 ≤ x ≤ 0.89

Step-by-step explanation:

hope this helps, pls mark brainliest :D

Answer:

mean of e + f = 18

Step-by-step explanation:

(a + b + c + d)/4 = 9         Multiply by 4

a + b + c + d = 9 * 4 = 36

(a + b + c + d + e + f ) / 6 = 12

but a + b + c + d = 36

(36 + e + f)/6 = 12             Multiply by 6

36 + e + f = 72                 Subtract 36 from both sides

e + f = 36                         Divide by 2 to find the mean.

(e + f)/2 = 36/2

mean of e + f = 18

Answer:

One. Kamala.

Step-by-step explanation:

Answer:

0.53 mph

Step-by-step explanation:

A cyclist travels 8 miles in 15 minutes.

So the average speed is

=8/15 mph

=0.53 mph

Answer:

hey you guys

Step-by-step explanation:

Answer:

20cm

Step-by-step explanation:

for the triangle:

Perimeter = 30cm

a + a + a = 30

3a = 30

hence a = 10cm

For the rectangle:

Perimeter = 30cm

a + a + b + b = 30

but a = 10cm

10 + 10 + b + b = 30

20 + 2b = 30

2b = 10

hence b = 5cm

Perimeter of square = b + b + b + b

= 5 + 5 + 5 + 5 = 20cm