4 A group of 40 mountain goats has just been
transplanted to an area with the expectation
their population will increase exponentially by
30% each year. If f(x) represents their total
population and x is the number of years in the
future, which function models the situation?

log3 ( x ) + log3 ( x - 2 ) = log3 ( x + 10 )

log3 ( x )( x - 2 ) = log3( x + 10 )

log3 ( x^2 - 2x ) = log3( x + 10 )

x^2 - 2x = x + 10

x^2 - 3x - 10 = 0

( x - 5 )( x + 2 ) = 0 ==》x = 5 Or x = - 2

Answer:

Step-by-step explanation:

circumference=2πr

2 π r=184.12

π r=92.06

r=92.06/π≈29.30 yards

Answer:

-2 39/50

Step-by-step explanation:

Have a good day

-2 78/100 or -2 39/50

Given:  

Number 1X2Y6Z is divisible by 9.

To find:  

The least value of  X+Y+Z = ?

Solution:  

First of all, let us learn the divisibility rule of 9.  

A given number will be divisible by 9 if and only if the sum of digits of the given number is also divisible by 9.

For example:

Let us consider a number 923463.  

The sum of digits = 9 + 2 + 3 + 4 + 6 + 3 = 27  

27 is divisible by 9 so the number 923463 will also be divisible by 9.

Let us consider another example 8972.  

Sum of digits = 26  

26 is not divisible by 9 so the number 8972 will also be not divisible by 9.

Now, we are given the number 1X2Y6Z.  

Sum of digits = 1 + X + 2 + Y + 6 + Z = 9 + X+Y+Z

The number 1X2Y6Z will be divisible by if 9+X+Y+Z is divisible by 9.  

The least value of X+Y+Z can be zero, so the sum of digits = 9 + 0 = 9  

which will make the number 1X2Y6Z divisible by 9.

So, the answer is:

Least value of X+Y+Z = 0 so that the number 1X2Y6Z is divisible by 9.

9514 1404 393

Answer:

  0

Step-by-step explanation:

For a number to be divisible by 9, the sum of the digits must be divisible by 9. The given digits total 9, so x+y+z must be a multiple of 9. The least possible multiple of 9 is 0.

The least value of x+y+z is 0.

_____

102060/9 = 11340

Answer

19?

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{930-7.94\times101+7.94}[/tex]

[tex]\mathsf{-7.94\times101 = \bf -801.94}[/tex]

[tex]\mathsf{= 930-801.94+7.94}[/tex]

[tex]\mathsf{930 - 801.94= \bf 128.06}[/tex]

[tex]\mathsf{= 128.06+7.94}[/tex]

[tex]\mathsf{= \bf 136}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 136}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

11=x

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

The numbers 45 and 5, in the ratio of 9:1, when added together, sum up to 50.

To split the number 50 into a specific ratio, 9:1. This means we need to divide 50 into two parts, where one part is nine times larger than the other part.

To split 50 into the ratio 9:1, we need to divide the number 50 into two parts, let's call them "x" and "y." The ratio 9:1 tells us that one part is nine times larger than the other. So, we can express this relationship mathematically as:

x = 9y

Now, we know that the sum of the two parts, x and y, should add up to 50:

x + y = 50

Since we have an expression for "x" in terms of "y," we can substitute it into the second equation:

9y + y = 50

Now, let's combine the y terms:

10y = 50

Next, we isolate "y" by dividing both sides of the equation by 10:

y = 50 / 10

y = 5

Now that we've found the value of "y," we can use it to find "x" using the first equation:

x = 9 * 5

x = 45

So, the two parts are x = 45 and y = 5. We can verify that the ratio is indeed 9:1:

x / y = 45 / 5 = 9

And the sum of the two parts is:

45 + 5 = 50

The numbers 45 and 5, in the ratio of 9:1, when added together, sum up to 50.

In summary, to divide 50 into the ratio 9:1, we found that one part (x) is 45, and the other part (y) is 5. This satisfies the condition that one part is nine times larger than the other, and their sum is 50.

To know more about Ratio here

https://brainly.com/question/70116

#SPJ2

reertttAnswer:

treryeryutruytruw

Step-by-step explanation:

tryutrytry

Answer:

100 points

Step-by-step explanation:

As it is mentioned that she has scored 54 points already and each coin has 23 points.

54+23+23 =100

SORRY IF WRONG

Answer:

x is 19

Hope it helps!!!

Step-by-step explanation:

Answer and Step-by-step explanation:

For this equation, we are solving for h.

We are given the equation:

2 + 4h - 1 = 13h

First, we need to Simplify the equation.

2 - 1 + 4h = 13h

1 + 4h = 13h

Now, we need to Subtract 4h from both sides of the equation.

1 + 4h - 4h = 13h - 4h

1 = 9h

Finally, we Divide both sides by 9 to get h.

[tex]\frac{1}{9} = h[/tex]

h is equal to [tex]\frac{1}{9}[/tex].

To check your answer, we plug [tex]\frac{1}{9}[/tex] back into the given equation.

[tex]2 + 4(\frac{1}{9} ) - 1 = 13(\frac{1}{9} )\\\\\\\\2 + \frac{4}{9} -1 = \frac{13}{9} \\\\\\1 = \frac{9}{9} \\\\1 = 1[/tex]

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer:

x-2 =0

x=2

Step-by-step explanation:

we take -2 to the anther side it becomes 2

Answer:

-2

Step-by-step explanation:

A function is a rule for working out the values y for the given values x

For example, h = 3x and y = x^2 are functions. The notation g(x) is read as g of x. g is the function. g(x) = 3x means the function of x is 3x

So, when solving to find the value of x, you must substitute x for any given value.

For example, f(x) = 10/x. Work out f(5), you must substitute the 5 into the denominatior of the fraction 10/x . This becomes 10/5, which equals to 2.

But for your question, to find the value of x, substitute x with 0

You end up with -2

Hope this helps

BtW. the above statements are just notes. i thought they might help.

Answer:

A B C and F

Step-by-step explanation:

When one is over an exponent that means the exponent is negative. so then you find two exponents that equal -6 :)

See attachment for reply and answer.

Answer:

38 I believe let me know if I'm right

Step-by-step explanation:

...

Answer:

ehhehrjrh4h4hehejejru4u4u

Answer:

6x+25

Step-by-step explanation:

Answer:

The simplified equation is 6x+25

Step-by-step explanation:

First, you open parentheses or in other words, use distributive property: 6*x+6*4+1. If you simplify that, you get 6x+24+1 which is basically 6x+25. So 6x+25 is your final answer.

Answer:

Socrates

Step-by-step explanation:

Answer:

78%

Step-by-step explanation:

Ok to solve this we can write this as

80 = [tex]\frac{73+82+85+83+x}{5}[/tex]

We put the equation like this because were finding out how much he needs to get on his 5th test x in order to get a 80%

Your grade is the average of all of your scores hence the divided by 5

We next multiply both sides of the equation by 5 to get

400 = 72+82+85+83+x

400=  322+ x

78 = x

He must get a 78% minimum on his next test to get 80%

Hope that helps!

Answer:

missing length is 8

Step-by-step explanation:

17^2 - 15^2 = 64

square root of 64 is 8

Answer:

8 inches

Step-by-step explanation:

Use the Pythagorean Theorem:

a²+b²=c²

15²+b²=17²

225+b²=289

b²=64

b=8

Therefore, the missing side is 8 inches long.

Answer:

(-3,-3)

Step-by-step explanation:

Answer:

should be A sorry if I'm wrong

Given:

The function is:

[tex]C(t)=10(1.029)^{24t}[/tex]

Where, C(t) is the total number of cells after t hours.

To find:

The function that is approximately equivalent to C(t).

Solution:

We have,

[tex]C(t)=10(1.029)^{24t}[/tex]

It can be rewritten as:

[tex]C(t)=10(1.029^{24})^{t}[/tex]            [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]C(t)\approx 10(1.986)^{t}[/tex]         [tex][\because 1.029^{24}\approx 1.986][/tex]

The function [tex]C(t)=10(1.986)^{t}[/tex] is approximately equivalent to C(t).

Therefore, the correct option is 3.

Answer:

c

Step-by-step explanation:

Answer:

6 pieces can be cut out of the board

Step-by-step explanation:

The complete question is

James has a board that is 3/4 foot long. He wants to cut the board into pieces that are each 1/8 foot long. How many pieces can James cut from the board?

Solution

Given,

The total length of the board is equal to [tex]\frac{3}{4}[/tex] feet

Total number of pieces to made = X

Size of each piece that is cut from the board is [tex]\frac{1}{8}[/tex] feet long

Total number of pieces that can be cut from the board is equal to total size of board divided by size of each sub part

[tex]X = \frac{\frac{3}{4} }{\frac{1}{8} } \\X = \frac{3}{4} * \frac{8}{1} \\X = 3 * 2 \\X = 6[/tex]

Hence, 6 pieces can be cut out of the board

Answer:

he needs 18 more dollars from his parents

Step-by-step explanation:

93-75=18 therefore he is missing 18 dollars