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Aleksandr [31]
3 years ago
12

Please complete marking the first answer brainliest!

Mathematics
1 answer:
melomori [17]3 years ago
5 0

Answer:

$31.56

Step-by-step explanation:

$9.85 × 4 = $39.40

$39.40 25% off is $29.55

6.75% rounded to the nearest cent 6.80%

Sales tax is $2.01

$29.55 + $2.01 = $31.56

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What conic section is drawn by the parametric equations x=csc t and y cot?
Vanyuwa [196]
If we take the square of x and square of y and then subtract them:
                         (csc t)²-(cot t)²=1                      ( this eq. gets from basic identity 
                               x²-y²=1......a                                               1+cot²x=csc²x)
  
 equation 'a' represent the equation of hyperbola which is (x²/a²)-(y²/b²) =1 with given conditions( a=1,b=1)

So, option D is correct
3 0
3 years ago
a recipe calls for 3 ounces of flour for every 2 ounces of sugar. Find the constant of proportionality.
Ket [755]
3:2 


for every 3 ounces of flour, you need 2 ounces of sugar
7 0
3 years ago
Max makes and sells posters. The function p(x)= -10x^2 +200x -250, graphed below, indicates how much profit he makes in a month
viktelen [127]
Here is our profit as a function of # of posters
p(x) =-10x² + 200x - 250
Here is our price per poster, as a function of the # of posters:
pr(x) = 20 - x
Since we want to find the optimum price and # of posters, let's plug our price function into our profit function, to find the optimum x, and then use that to find the optimum price:
p(x) = -10 (20-x)² + 200 (20 - x) - 250
p(x) = -10 (400 -40x + x²) + 4000 - 200x - 250
Take a look at our profit function. It is a normal trinomial square, with a negative sign on the squared term. This means the curve is a downward facing parabola, so our profit maximum will be the top of the curve.
By taking the derivative, we can find where p'(x) = 0 (where the slope of p(x) equals 0), to see where the top of profit function is.
p(x) = -4000 +400x -10x² + 4000 -200x -250
p'(x) = 400 - 20x -200
0 = 200 - 20x
20x = 200
x = 10                         
p'(x) = 0 at x=10. This is the peak of our profit function. To find the price per poster, plug x=10 into our price function:
price = 20 - x
price = 10
Now plug x=10 into our original profit function in order to find our maximum profit:
<span>p(x)= -10x^2 +200x -250
p(x) = -10 (10)</span>² +200 (10) - 250
<span>p(x) = -1000 + 2000 - 250
p(x) = 750

Correct answer is C)
</span>
7 0
3 years ago
PLEASE HELP<br><br> FIND THE LENGTH OF RS.
Gwar [14]

Answer:

A

Step-by-step explanation:

Distance between 2 points

=  \sqrt{(x1 - x2)^{2}  + (y1 - y2)^{2} }

☆ (x₁, y₁) is the first coordinate while (x₂, y₂) I'd the second coordinate.

Length of RS

=  \sqrt{ {[ - 1 -( - 4)] }^{2}  + (9 - 1)^{2} }  \\  =  \sqrt{( - 1 + 4)^{2}  + 8^{2} }  \\  =  \sqrt{ {3}^{2}  + 64 }  \\  =  \sqrt{73}  \\ = 8.54 \: (3 \: s.f.)

Thus, RS is about 8.5 units.

8 0
3 years ago
Read 2 more answers
What makes composing functions different from doing an arithmetic operation of two functions such as adding or dividing them?
11111nata11111 [884]

function composition is an operation that takes two functions f and g and produces a function h such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.

3 0
3 years ago
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