In 2009, there were 1570 bears in a wildlife refuge. In 2010, the population had increased to
approximately 1884 bears. If this trend continues and the bear population is increasing exponentially,
how many bears will there be in 2018?

[tex]\bf f(x)=5x-x^2\qquad \qquad \lim\limits_{h\to 0}~\cfrac{f(x+h)-f(x)}{h} \\\\[-0.35em] ~\dotfill\\\\ \lim\limits_{h\to 0}~\cfrac{[5(x+h)-(x+h)^2]~~-~~[5x-x^2]}{h} \\\\\\ \lim\limits_{h\to 0}~\cfrac{[5x+5h-(x^2+2xh+h^2)]~~-~~5x+x^2}{h}[/tex]

[tex]\bf \lim\limits_{h\to 0}~\cfrac{\begin{matrix} 5x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}+5h~~\begin{matrix} -x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}-2xh-h^2~~-~~\begin{matrix} 5x +x^2\\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{h}\implies \lim\limits_{h\to 0}~\cfrac{5h-2xh-h^2}{h}[/tex]

[tex]\bf \lim\limits_{h\to 0}~\cfrac{\begin{matrix} h \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} ~~(5-2x-h)}{\begin{matrix} h \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }\implies \lim\limits_{h\to 0}~5-2x-0\implies \lim\limits_{h\to 0}~5-2x[/tex]

Answer:

$120,000

Step-by-step explanation:

It's easy ,

all you got to do is just minus $300,000  from $180,000  so it'll be :

$300,000 − $180,000 = $120,000  

$120,000 Will be your answer !

Answer:

$120,000

It's easy ,

all you got to do is just minus $300,000  from $180,000  so it'll be :

$300,000 − $180,000 = $120,000  

$120,000 Will be your answer !

Step-by-step explanation:

The difference of polynomials  (12x²-11y²-13x)-(5x²-14y²-9x) is 7x² +3y²-4x

Polynomials are sum of terms of the form kxⁿ , where k is a constant and n is any positive integer.

it is given in the question

To find the difference of the polynomials

(12x²-11y²-13x)-(5x²-14y²-9x)

to add or subtract a polynomial we subtract the like terms with same variable .

12x²-11y²-13x -5x²+14y²+9x

7x² +3y²-4x

Therefore the difference of polynomials  (12x²-11y²-13x)-(5x²-14y²-9x) is 7x² +3y²-4x .

To know more about Polynomial

https://brainly.com/question/11536910

#SPJ2

Answer:

log_3(2x+15)=2  and log_4(-20x+4)=3

Step-by-step explanation:

Plug it in and see!

[tex]log_3(2x+15)=2\\log_3(2(-3)+15)=2\\log_3(-6+15)=2\\log_3(9)=2\\\text{ This is a true equation because } 3^2=9\\\\\\log_5(8(-3)+9)=2\\log_5(-24+9)=2\\log_5(-15)=2\\\\\text{ Not true because you cannot do log of a negative number }\\\\log_4(-20(-3)+4)=3\\log_4(64)=3\\\text{ this is true because } 4^3=64\\\\\\log_x (81)=4\\log_{-3}(81)=4\\\text{ the base cannot be negative }\\\\\\\\\text{ There is only two options here} \\\\log_3(2x+15)=2 \text{ and } log_4(-20x+4)=3[/tex]

Answer:

A and C

Step-by-step explanation:

Answer:

The first choice, 8.64 sq. ft.

Step-by-step explanation:

Formula for area of triangle:

(Length x Height) / 2

4.8 * 3.6 = 17.28

17.28 / 2 = 8.64

A = 8.64 sq. ft. so, the first choice

Answer:

8.42ft square

Step-by-step explanation:

Base × height/2

base=4.8ft

height =3.6ft

4.8 × 3.6= 17.28

17.28/2=8.64ft

Answer:

Step-by-step explanation:

Answer:

the answer is doubling the square on anywhere brainiest pls

Step-by-step explanation:

Answer:

It is the third option.

Step-by-step explanation:

First, the shaded part is above the line, so there must be a y>, ruling out two of our options. so now, the slope of the line is the only missing item. Use the points (0,3) and (3,5). m=(y2-y1)/(x2-x1), so m = -2/-3, which simplifies to 2/3. Therefore, y>2/3x + 3 is your answer.

Hope this helps!

[tex]3\cdot3\cdot4\cdot4=144[/tex]

Answer:

Step-by-step explanation:

If you spend 5/6 of your wages, you'll have 1/6 of your wages left, hopefully to be placed into your savings account.

If your wages are $60, you'd have 1/6 of that, or $10, left.

                             $120,                                            $20.

                              $180,                                            $30

                               $300,                                           $50

Answer:

never occur at the same time

Step-by-step explanation:

In Statistics, two events that are mutually exclusive never occur at the same time. For instance, in tossing a coin we can either land heads or tails but not both. The two events are said to be mutually exclusive.

Answer:

A≈38.48ft²

C≈21.99ft

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

The area is 38.5 ft² and the circumference is 21.99 or 22 ft

Step-by-step explanation:

Find the area and the circumference of a circle with diameter 7 ft,

first,  Area of a circle is πr² or πd

D = 2r

7 = 7/2 = 3.5

π = 22/7

Area = πr²

A = 22/7 × (3.5)²

A = 22/7 × 12.25

A = 269.5/7

A = 38.5 ft²

Circumference of a circle is 2πd

C = 22/7 × 7

C = 154/7

C = 21.99

approximately 22.

Hope this helps!

The function a(z) = 2z - 7 transforms into a(x + 1) = 2x - 5 when z is replaced with the quantity (x + 1)

The question given has a mathematical function defined as a(z) = 2z - 7. The problem is asking what the function would look like if instead z is replaced by quantity (x+1).

To solve this, replace z in the function with (x+1). As such, instead of multiplying z by 2, we are now multiplying (x+1) by 2. The equation would stand as a(x + 1) = 2(x+1) - 7. Distribute the 2 in the parenthesis, the equation simplifies to a(x + 1) = 2x + 2 - 7.

Therefore, a(x + 1) = 2x - 5 is the function when z is replaced with quantity (x + 1).

https://brainly.com/question/26896273

#SPJ12

To find a(x) when a(z) = 2z - 7, we replace z with (x+1) in the expression for a(z). Simplifying, we get a(x+1) = 2x - 5.

To find a(x) when a(z) = 2z - 7, we replace z with (x+1) in the expression for a(z). This gives us:

a(x+1) = 2(x+1) - 7

Simplifying, we get the values as -

a(x+1) = 2x + 2 - 7

a(x+1) = 2x - 5

https://brainly.com/question/31751915

#SPJ12

Answer:

D and E

Step-by-step explanation:

because the rule to make triangle is

a<b+c with a, b and c is the side of the triangle

Answer:

Step-by-step explanation:

I just did it nothing to explain :D

s = number of students books

we know there are many student's books, so since there are "s", and each one weights 2.3 kgs, then all together must weight 2.3s, now the teacher's edition is just 1 alone so that's just 4.3 kgs.

[tex]\bf \stackrel{\stackrel{total}{weight}}{30}~~=~~\stackrel{students'}{2.3s}+\stackrel{teacher's}{4.3}+\stackrel{box's}{0.4}\implies 30=2.3s+4.7 \\\\\\ 30-4.7=2.3s\implies 25.3=2.3\implies \cfrac{25.3}{2.3}=s\implies 11=s[/tex]

It would take 7 hours.

If you are going at 45 miles per hour, you need to find out how much 45 goes into 315.

To deduce this, divide 315 by 45.

315/45=7

It would take 7 hours.

Hope this helps!

Answer:

7 hours

Step-by-step explanation:

Write it out like a ratio X/315 = 1/45

Let X be hours

Cross multiply 315 x 1

and 45 x X -------> this gives you 315 = 45X

Then simply divide both sides by 45 and you get 7 hours

they paid 30, 10 + 10 + 10.

the manager refunded them 5, 30 - 5 = 25.

the bellboy took 2, gave them 3 only.

since the bellboy gave only 3 to friends, then they paid 10 + 10 +10 - 3 = 27, if we include the 2 the bellboy kept, then that makes it 27 - 2 = 25.

we're not adding the $2 kept by the bellboy, we're subtracting it from the $27.

Answer: The slope is 5

Step-by-step explanation:

You can calculate the slope of the line with this fomula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Given the points (2,3) and (1,-2), you can identify that:

[tex]y_2=-2\\y_1=3\\x_2=1\\x_1=2[/tex]

Now, the final step is to substitute these values into the formula  [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], getting that the slope of this line is:

 [tex]m=\frac{-2-3}{1-2}[/tex]

[tex]m=\frac{-5}{-1}\\\\m=5[/tex]

Answer:

M = 5X

Step-by-step explanation:

use the slope of a line equation

[tex]m \: = \frac{y2 - y1}{x2 - x1} [/tex]

so plug in your x and y's

[tex] m = \frac{ - 2 - 3}{1 - 2} [/tex]

m = 5x

remember negative devided by negative is a positive. also dont forget to add your x at the end.

C because if you divide the angle minus the feet you get 120

The distance the hiker traveled along the path if he has traveled a horizontal distance of 120 feet is 120.7 feet.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

A portion of a hiking trail slopes downward at about an 84° angle.

The distance the hiker traveled along the path if he has traveled a horizontal distance of 120 feet

cos θ=adjacent/hypotenuse

Let h be the hypotenuse, adjacent =120 ft, θ = 84°,

cos 84 = 120/h

h = 120/cos 84

h = 120 / 0.10 ft

h = 120.7 ft

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

#SPJ2

Answer:

The height the tree was when brought

input value: 0

Output value: 62

Step-by-step explanation:

The initial value represents the height, the tree was when bought.

Given that,

Based on this, we can say that the initial value defines the height basically the tree at the time of purchased.

Learn more: brainly.com/question/17429689

Answer:

C. 4.5

Step-by-step explanation:

Normal throttle position voltage on most vehicles is about 0.5 volt at idle (closed throttle) and about 4.5 volts at wide-open throttle (WOT).  

Answer:C. 4.5

Step-by-step explanation:

Normal throttle position voltage on most vehicles is about 0.5 volt at idle (closed throttle) and about _______ volts at wide-open throttle (WOT).  

C. 4.5

Answer:

[tex]r \parallel s[/tex] by the Converse of the Alternate Interiors Angles Theorem.

Step-by-step explanation:

Remember that two lines are parallel if their angle of direction is the same.

So, in this case we know that [tex]m\angle 3 = m\angle 6[/tex], where [tex]\angle 3[/tex] is the direction of [tex]r[/tex] and [tex]\angle 6[/tex] is the direction of [tex]s[/tex].

Therefore, [tex]r \parallel s[/tex] by the Converse of the Alternate Interior Angles Theorem, which states that if two lines are cut by a transversal and the alternate interior angles are congruent, then those lines are parallel.

Answer:

Step-by-step explanation:

radius=4 as it is tangent to x-axis.

y co-ordinate of center is 4 so radius=4

eq. of circle is (x-2)²+(y-4)²=4²

or x²-4x+4+y²-8y+16=16

or x²+y²-4x-8y+4=0

Final answer:

The standard equation of a circle tangent to the x-axis with center (2,4) is (x - 2)² + (y - 4)² = 16.

Explanation:

To write the standard equation of a circle that is tangent to the x-axis with the center located at (2,4), we must recognize that the distance from the center of the circle to the x-axis is equal to the radius of the circle. Since the center is at (2,4), the distance to the x-axis (which is y=0) is 4 units; thus, the radius of the circle is 4.

The standard form of the equation of a circle with center (h,k) and radius r is (x - h)² + (y - k)² = r². Substituting the given center (2,4) and the radius 4 into this formula, we get:

(x - 2)² + (y - 4)² = 4²

Simplifying the radius squared term, we obtain the final equation:

(x - 2)² + (y - 4)² = 16

Answer:

AC= 10

Step-by-step explanation:

If AB is equal to 20 and C is the midpoint (meaning half of the segment), then you simply divide 20 by 2 which equals to 10.

Look at the image below for a drawing of the segment.

We know that the midpoint divides the segment in half. Which means that the length of the whole segment divided by 2 is equal to the length of one part of the segment

AC = AB / 2

AC = 20 / 2

AC = 10

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

The price is $1.6 per square foot of the land

Step-by-step explanation:

step 1

Find the area of the plot of land

we know that

The area of the plot of land is equal to the area of trapezoid 1 plus the area of trapezoid 2

see the attached figure to better understand the problem

Remember that

The area of a trapezoid is equal to

[tex]A=\frac{1}{2}[b1+b2]h[/tex]

Find the area of trapezoid 1

we have

[tex]b1=125\ ft[/tex]

[tex]b2=265\ ft[/tex]

[tex]h=260-150=110\ ft[/tex]

substitute

[tex]A1=\frac{1}{2}[125+265](110)[/tex]

[tex]A1=21,450\ ft^{2}[/tex]

Find the area of trapezoid 2

we have

[tex]b1=150\ ft[/tex]

[tex]b2=265\ ft[/tex]

[tex]h=150\ ft[/tex]

substitute

[tex]A2=\frac{1}{2}[150+265](150)[/tex]

[tex]A2=31,125\ ft^{2}[/tex]

The area total of the land is

[tex]A=A1+A2[/tex]

[tex]A=21,450+31,125=52,575\ ft^{2}[/tex]

step 2

Find the price per square foot of the land

Divide the total cost by the total area

[tex]\frac{84,120}{52,575}=1.6\frac{\$}{ft^{2}}[/tex]

Answer:

C. 11, 1

Step-by-step explanation:

I could have sworn I already answered this. Oh well. I guess I can answer it again. Simply plug in -3 and 3 for x, then find the absolute value [ALWAYS POSITIVE].

You didn't give us the choices.   It doesn't matter.  I think you're trying to write

[tex]\displaystyle {6 \choose 4} (2x)^2 (-y^2)^4 [/tex]

[tex] = \dfrac{6!}{4! 2!} ( 4x^2 y^8)[/tex]

[tex] = \dfrac{6(5)}{2} ( 4x^2 y^8)[/tex]

[tex] =60x^2 y^8[/tex]

Answer: 60 x² y⁸

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression ⁶C₄ (2x)² (-y²)⁴ is 60x²y⁸.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression can be simplified as,

⁶C₄ (2x)² (-y²)⁴

The value of the combination can be written as,

= [6!/4!(6-4)!]  (2x)² (-y²)⁴

= 15 (4x²)  (-y²)⁴

The value of y can be written as,

= 15 (4x²)  y⁸

= 60 x²y⁸

Hence, the value of the expression ⁶C₄ (2x)² (-y²)⁴ is 60x²y⁸.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ2

11+9=20

(11)^2-(9)^2=40

121-81=40

40=40