Write an equation of the line that passes through (0,-5) and is perpendicular to the line y=4/5x.

Answer:

There will be approximately 165,689, 137,264, and 94,207 squirrels in 25, 50, and 100 years respectively.

Step-by-step explanation:

Exponential Decay Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

[tex]s(t)=s_o\cdot(1-r)^t[/tex]

Where:

s(t) is the actual value of the function at time t

so is the initial value of s at t=0

r is the decaying rate, expressed in decimal

The population of squirrels is decreasing at a rate of r=0.75% = 0.0075. The initial number of squirrels is so=200,00. The exponential model for this situation is:

[tex]s(t)=200,000\cdot(1-0.0075)^t[/tex]

[tex]s(t)=200,000\cdot(0.9925)^t[/tex]

Where s is the number of squirrels at any time t.

We are required to find the number of squirrels in:

t=25 years. Substitute in the formula:

[tex]s(25)=200,000\cdot(0.9925)^25[/tex]

Calculating:

[tex]s(25)\approx 165,689[/tex]

t=50 years. Substitute in the formula:

[tex]s(50)=200,000\cdot(0.9925)^50[/tex]

Calculating:

[tex]s(50)\approx 137,264[/tex]

t=100 years. Substitute in the formula:

[tex]s(100)=200,000\cdot(0.9925)^100[/tex]

Calculating:

[tex]s(100)\approx 94,207[/tex]

There will be approximately 165,689, 137,264, and 94,207 squirrels in 25, 50, and 100 years respectively.

Answer:

it should take 70 mins to fill all 5

hope this helps!! :)

Step-by-step explanation:

14 x 5 = 70

Answer:

70

Step-by-step explanation:

14 minutes = 1 cavity

x minutes = 5 cavities

70= x

Answer:

34.06°

Step-by-step explanation:

25 is the length of the hypotenuse side and 14 is the length of the opposite side.

Therefore, you will need to use sine to work out the missing angle.

sinx = opp / hyp

sinx = 14 / 25

x = sin ^ -1 (14 / 25)

= 34.06°

Answer:

62mm

Step-by-step explanation:

Add each side together, check answer.

Start by adding 17 and 10 together. Break it down and that equals 27. Add 11 and you get 38. Add 19 and 5 to get 24 and add that to 38. Answer, 62mm.

Answer:

Shape 1: 25.915

Shape 2: 102.85

Shape 3: 142

Step-by-step explanation:

For shape 1, you have to divide 7.1 to get half the width of the triangle. You get 3.55 from that, and then finding the triangle itself you have to do 7.3*3.55 to get 25.915. For shape 2, you first do the harder parts (the triangles) and since there is two of them we don't need to half the width of each triangle. But first to get the width, we need to do 20-17.4=2.6. But since there are 2 triangles we need to divide that by 2 to get 1.3. Then you multiply that by 5.5 to get the final area of both triangles which is 7.15. Next you simply find the rectangle which is 17.4*5.5=95.7. You add the triangles area to get 102.85. Finally for shape 3 you simply do 7.1*20=142.

Answer:

after u get ur answers, u add up all the numbers to get ur total

Step-by-step explanation:

9

6/2x3

3x3

9

Hope I helped

Answer:

the second route

Step-by-step explanation:

1.5/10=0.15 miles/minute

3/15=0.2 miles/minute

0.2 is faster than 0.15

Answer:

the open circle is greater than the closed circle is less than.

Answer:

I am 100% sure that the answer is 240.

Step-by-step explanation:

The volume of the prism is 160 m³ and the correct equation is V = 8 × 4 × 5.

A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.

The length, width and height of the rectangular prism are given as 8m, 4m and 5m respectively.

Since, the volume of the prism is given as the product of its length, width and sides.

For the given prism the volume can be obtained as,

V = 8 × 4 × 5

⇒ V = 160 m³

Hence, the correct equation is given as  V = 8 × 4 × 5.

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Answer:

0.85x

wertyipjhgfdfghjkjxcvbnmuytredxcvbnko

[tex]f(x)=0.85^{x}[/tex] is the required function.

If in a mathematical statement, a set of inputs, i.e. set x having exactly one output (in set y) each, then this is called a function.

The function that decrease by 15% every time increases by 1 is,

[tex]f(x)=(1-0.15)^{x}[/tex]

Now, simplifying it, we get,

[tex]f(x)=0.85^{x}[/tex]

Hence, the required function is [tex]f(x)=0.85^{x}[/tex]

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Answer:

that is the definition of a PLANE

Step-by-step explanation:

Answer:

$2273.19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Compound Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

Step-by-step explanation:

Step 1: Identify Variables

P = $1900

r = 3% = 0.03

n = 4

Step 2: Solve for A

Answer:

y = 3x + b

Step-by-step explanation:

The slope of y=mx+3 that passes through (-3,4) is found like this:

1. Substitute the y and x values in (4 = m*(-3) + 3).

2. Simplify by subtracting 3 from each side (1 = m*(-3)).

3. Simplify by dividing each side by -3 (-1/3 = m).

Since the slope of perpendicular lines are negative reciprocals, the slope of the perpendicular line is 3.  The y-intercept can be anything and it will still be perpendicular.

Answer:

x=-4 , y=-4

Step-by-step explanation:

see the attached pic

Answer:

Y-intercept

Step-by-step explanation:

The y-intercept is the part of the line that crosses the y-axis.

The red dot (where the arrow is pointing to) is the y intercept

Answer:

The laws of exponents are:

a)  (x^n)*(x^m) = x^(n + m)

b)  (x^n)/(x^m) = x^(n - m)

c)  (x^n)^m = x^(n*m)

Now, let's see the given equations:

1) (x-²)-³ = x⁶   (true)

Here we se the third law, the "c"

(x^(-2))^(-3) = x^(-2*-3) = x^6

Then this equation is correct.

2)  (a^m)^n = a^m^n   (false)

This law does not exist, this is false.

An example of why this is false is:

Let's use the values:

a = 2, m = 1, and n = 2

then, in the left side we have:

(2^1)^2 = (2)^2 = 4

And in the right side we have:

2^(1^2) = 2^(1) = 2

We can see that we have different things in the left side than in the right side, then that relation is false.

3)  a⁰ = 0  (false)

Let's rewrite this as:

a^0 = a^(n - n)

Now we can use the second law to rewrite this as:

a^(n - n)  = (a^n)/(a^n)

And we have a number divided by the exact same number, we know that this is equal to 1, then:

(a^n)/(a^n) = 1

this means that:

a^0 = 1.

Then this is also false.

The only correct option is the first one.

Answer:

x = 8

Step-by-step explanation:

Since the statement is true, then XY and ZY are the same length. You can set them to equal each other.

[tex]XY = ZY[/tex]

[tex]2x + 3 = 3x - 5[/tex]

[tex]3 = x - 5[/tex]

[tex]8 = x[/tex]

[tex]x = 8[/tex]

Hope this helps!

Answer:

The coordinates would be (3,7)

Answer:

= 7/ 8

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 10-3)/( -2 - -10)

    = ( 10-3)/( -2 +10)

    = 7/ 8

Answer:

it's correct

Step-by-step explanation:

if you multiply out what you got, it equls the original thing

EDIT:

oh right

s^2-9 is s+3 and s-3

You can still get S out of [tex]s^2[/tex] and [tex]2s[/tex] and you can still get 3 out of [tex]-9[/tex] and [tex]3[/tex]. The end result will be [tex]2s^3 + 3s^2-18s-27[/tex]

Answer:

keep the decemal in the same place? there's not really alot to go by on your question

Answer:

keep the same sign and add the value to each number

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3 1/8 : 8 x 3=25 new fraction

25/8 x 8/5 you have to do kcf Keep Change Flip

and then multiply

8x5=40 25x8=200 simply by 40

5/1= 5 hope it helped im not the best :)  

Answer:

okffxddg you can see the attached file is scanned

Answer:

Step-by-step explanation:

[tex]|a|=\left\{\begin{array}{ccc}a&if&a\geq0\\-a&if&a<0\end{array}\right[/tex]

Examples:

[tex]|3|=3\ because\ 3\geq0\\\\|-10|=-(-10)=10\ because\ -10<-\\\\|0|=0\ because\ 0\geq0\\\\|-0.5|=-(-0.5)=0.5\ because\ -0.5<0\\\\|-1,000|=1,000\ because\ -1,000<0[/tex]

Your question:

[tex]|-3|=-(-3)=3\\\\|-3|=3[/tex]

Answer:

I think it is 16

Step-by-step explanation:

64÷4=16

4/64of gas=1 mile so I divided 64 by 4