The exchange rate is 1.02 Canadian dollars to 1US dollar as of May 12, 2015. If you have $10,000 US dollars to take to Canada with you. What is the equivalent value in Canadian dollars?

Answers

Answer 1

Answer: 10,000 x 1.02 = 10,200

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Solve.
3/4x=18 please show work ...?

Answers

18 = 3/4x
3 = 18 x 4x
4x = 3/18
4x = 1/6
x = 1/24

4/3 times 3/4 to cancel out

18 times 4/3
this will be 72/3

72 divided by 3 is 24

X = 24

Based on the graph below, what is the solution to the equation f(x) = g(x)?graph of function f of x equals negative x plus 2.5 and graph of function g of x equals x squared plus 2 multiplied by x minus 8

Answers

The wording of the second function may be interpreted in several differente ways. These are some:

g(x) = (x^2 +2)(x-8)
g(x)=x^2 + 2(x-8)
g(x) x^2 +2x - 8

I will work with the last one, so my system of equation is:

f(x) = - x +2.5
g(x) = x^2 + 2x - 8

f(x) = g(x) ⇒ - x + 2.5 = x^2 + 2x - 8

x^2 + 3x - 8 - x - 2.5 = 0

x^2 + 3x - 10.5 = 0

Use the quadratic formula to solve for x:

x = [ - 3 +/- √(3^2) - 4(1)(-10.5) ]/2

x = - 5.07 and x = 2.07

The solution of the equation f(x) = g(x) are x = 3.055 or x = -6.055 if the f(x) = -x + 2.5 and g(x) = x² +2(x - 8)

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

f(x) = -x + 2.5

g(x) = x² +2(x - 8)

f(x) = g(x)

-x + 2.5 = x² +2(x - 8)

After simplification:

x² + 3x - 18.5 = 0

After solving, we get:

x = 3.055 or x = -6.055

Thus, the solution of the equation f(x) = g(x) are x = 3.055 or x = -6.055 if the f(x) = -x + 2.5 and g(x) = x² +2(x - 8)

Learn more about the function here:

brainly.com/question/5245372

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a student was given the equation x^2+6x-13=0 the next step in the students process was x^2+6x+c=13+c state the value of c that creates a perfect square trinomial explain how the value of c is determined

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This is the process of completing the square.
Keep this equation in mind: $ax^2+bx+c$
Basically, to make this a perfect square trinomial, you take half of b and square that value. This will make it so you can compress the left side of the equation into $(x+b)^2 \ or \ (x-b)^2$ depending on the sign in the middle of the original equation.

After 4,000 gallons of water were added to a large water tank that was already filled to 3/4 of its capacity, the tank was then at 4/5 of its capacity. How many gallons of water does the tank hold when filled to capacity?(A) 5,000(B) 6,200(C) 20,000(D) 40,000(E) 80,000

Answers

Answer: The correct option is

(E) 80,000.

Step-by-step explanation: Given that after adding 4,000 gallons of water to a large tank that was already filled to $(3)/(4)$ of its capacity, the tank was then at $\drac{4}{5}$ of its capacity.

We are to find the number of gallons of water that the tank hold when filled to capacity.

Let the tank can hold x gallons of water when filled to capacity.

Then, according to the given information, we have

$(3)/(4)x+4000=(4)/(5)x\n\n\n\Rightarrow (4)/(5)x-(3)/(4)x=4000\n\n\n\Rightarrow (16-15)/(20)x=4000\n\n\Rightarrow x=4000*20\n\n\Rightarrow x=80000.$

Thus, the required capacity of the tank is 80,000 gallons of water.

Option (E) is CORRECT.

THE EXPRESSION COT THETA/CSC THETA IS EQUAL TO?

Answers

$(cot\theta)/(csc\theta)=(*)\n------------\n\ncot\theta=(cos\theta)/(sin\theta)\n\ncsc\theta=(1)/(sin\theta)\n------------\n\n(*)=(cos\theta)/(sin\theta):(1)/(sin\theta)=(cos\theta)/(sin\theta)\cdot(sin\theta)/(1)=cos\theta$

If you flip a coin 3 times what is the probability of getting 0 heads

Answers

the answer is 1/8 because since one toss would be 1/2 then 1/2 * 1/2 *1/2= 1/8

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