How would you solve x^2 -4x +2=0?!

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:

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:

$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:

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]

Learn more about function here :

https://brainly.com/question/27447037

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Answer:

k = 1

Step-by-step explanation:

16 - 2k = 14

- 16       - 16

    -2k = -2

     -2     -2

       k = 1

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.

To know more about linear equation click on,

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Answer:

4046

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

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:

9

6/2x3

3x3

9

Hope I helped

Answer:

uhhh

Step-by-step explanation:

Answer:

that is the definition of a PLANE

Step-by-step explanation:

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:

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:

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:

13

Step-by-step explanation:

(2)2 + (3)3 = 4 + 9 = 13

Answer: 31

Step-by-step explanation:

(4) 4 + (3) 3

P2 - 2 x 2

= 4

R3 - 3 x 3 x 3

= 27

27 + 4

= 31

Hope it helps!

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:

Answer:

*The amount the customer paid, in dollars, for the chocolate in the bag is 9x.

*The total weight of the bag of chocolate and almonds is x + y.

*The cost per pound of the almonds is $11.

Step-by-step explanation:

A customer paid 9x + 11y dollars for a bag that contains x pounds of chocolate and y pounds of almonds.

From the above questions, we know that:

The weight of Chocolate = x pounds

The weight of Almonds = y pounds

The cost per Chocolate = $9

The cost per Almonds = $11

Therefore, the three statements that are true are:

* The amount the customer paid, in dollars, for the chocolate in the bag is 9x.

* The total weight of the bag of chocolate and almonds is x + y.

*The cost per pound of the almonds is $11.

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:

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:

c

Step-by-step explanation:

-2.25*3 = 6.75 decreased (since negative)

Answer:

3785 + 259d

Step-by-step explanation:

cost of food booths = 16 * (100 + 9d) = 1600 + 144d

cost of game booths = 23 * (95 + 5d) = 2185 + 115d

total = 1600 + 2185 + 144d + 115d = 3785 + 259d

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:

opposite of 8 is -8 and the opposite of -8 is 8 :D