A bird is flying 10 feet above the water.A fish is swimming 4 feet below the water

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:

b=-1

Step-by-step explanation:

10(1+3b)=-20

1+3b=-2

3b=-3

b=-1

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

Answer:

37.5%

Step-by-step explanation:

OOF DIS COMPLICATED

I messed up big timeeeeeeeee

A lot of percent problem are very simple by just assuming values, especially in case the answer is also a percentage.

If there are 100 birds, 20% are tagged so 20 are tagged.

Out of the rest 80, 30 should be tagged so that a total of 50% are tagged.

30/80 = 37.5%

(The huge number given is unnecessary, just to make you waste your valuable time. Read the question again to realize that it is not needed.)

The percent of the untagged birds that must be tagged so that half of all birds in the refuge are tagged is 37.5%.

First step

Currently Tagged birds= 54210 ×20/100

Currently Tagged birds=10842

Second  step

Untagged birds=54210 - 10842

Untagged birds=43368

Third step

Untagged birds percentage:

Untagged birds percentage=( 54210/2)-10842/43368

Untagged birds percentage=(27105-10842)/43368

Untagged birds percentage=16263/43368

Untagged birds percentage=0.375×100

Untagged birds percentage=37.5%

Inconclusion the percent of the untagged birds that must be tagged so that half of all birds in the refuge are tagged is 37.5%.

Learn more about percentage here:https://brainly.com/question/24304697

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:

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

:)

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: 17 3/4

Step-by-step explanation: because yes

Answer:

Actualy 17 3/4 is incorrect ( she actualy ran 8 laps on saturday)

Step-by-step explanation:

I dont feel like typeing out my math but i am correct because I had this same question on my homework.

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

Step-by-step explanation:

The factors are x + 2 and x + 6.

Answer:

3

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:

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:1

Step-by-step explanation:

Answer:

One. Kamala.

Step-by-step explanation:

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:

Concept: Linear Algebra

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:

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:

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

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:

y=-2(×-1/2)

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:

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:

0.82 ≤ x ≤ 0.89

Step-by-step explanation:

hope this helps, pls mark brainliest :D

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

Answer:

wait I am solving. oklllllk

Answer:

ZA=85 ZB=85

Step-by-step explanation:

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 .............

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

Answer:

Manufacturing is the largest industry In the world.

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