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Yuki888 [10]
3 years ago
7

What is the approximate area of the shaded sector in the circle shown below

Mathematics
1 answer:
saul85 [17]3 years ago
3 0

Answer:

D) 191

Step-by-step explanation:

The entire circle is 254.5, calculated by using this formula

A=\pi r^{2} \\

Only 3/4 of the circle is needed for the area, however, so you multiply your area by 0.75

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stiv31 [10]
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4 0
3 years ago
Need help with courseReplace 250 with 575 and -3 with -5.
Svetlanka [38]

Given

The demand function

p(x)=\frac{250}{\sqrt{x}}-5

To determine:

a) The revenue function.

b) The marginal revenue.

c) The marginal revenue when x=200.

d) The equation of tangent, and its derivation.

Explanation:

It is given that,

p(x)=\frac{250}{\sqrt{x}}-5

a) The revenue function is given by,

\begin{gathered} R(x)=x\cdot p(x) \\ R(x)=x\times(\frac{250}{\sqrt{x}}-5) \\ R(x)=250\sqrt{x}-5x \end{gathered}

b) The marginal revenue function is,

\begin{gathered} R^{\prime}(x)=\frac{d}{dx}(R(x)) \\ =\frac{d}{dx}(250\sqrt{x}-5x) \\ =250\times(\frac{1}{2}\times x^{-\frac{1}{2}})-5 \\ =\frac{125}{\sqrt{x}}-5 \end{gathered}

c) The marginal revenue when x=200 is,

\begin{gathered} R^{\prime}(200)=\frac{125}{\sqrt{200}}-5 \\ =\frac{125}{10\sqrt{2}}-5 \\ =8.8388-5 \\ =3.8388 \\ =3.84 \end{gathered}

Hence, the marginal revenue is 3.84.

d) Let y=mx+c is the tangent.

Then,

y=3.84x+c

That implies, for y=12.68, and x=200,

\begin{gathered} 12.68=3.84\times200+c \\ 12.68=768+c \\ c=12.68-768 \\ c=-755.32 \end{gathered}

Hence, the equation of tangent is,

y=3.84x-755.32

8 0
1 year ago
Pablo's Gourmet Pretzel Shop specializes in selling the very finest chocolate covered pretzels. Rico bought 4 white chocolate pr
Evgen [1.6K]

Answer:

Step-by-step explanation:

Let x represent the cost of one white chocolate pretzel.

Let y represent the cost of one dark chocolate pretzel.

Rico bought 4 white chocolate pretzels and 6 dark chocolate pretzels for $10.50. This means that

4x + 6y = 10.5 - - - - - - - - - - -1

Holden bought 8 white chocolate and 3 dark chocolate pretzels for $9.75. This means that

8x + 3y = 9.75 - - - - - - - - - 2

Multiplying equation 1 by 8 and equation 2 by 4, it becomes

32x + 48y = 84

32x + 12y = 39

Subtracting, it becomes

36y = 45

y = 45/36 = $1.25

Substituting y = 1.25 into equation 1, it becomes

4x + 6 × 1.25 = 10.5

4x + 7.5 = 10.5

4x = 10.5 - 7.5 = 3

x = 3/4 = $0.75

the total cost for 6 white chocolate pretzels and one dark chocolate pretzel would be

6 × 0.75 + 1 × 1.25 = 4.5 + 1.25 = $5.75

7 0
3 years ago
Could anyone explain to me about adding and subtracting exponents. I don’t understand these equations with their exponents!
meriva

Answer:

whenever you're multiplying terms that have exponents you multiply the coefficients and add their exponents:

Step-by-step explanation:

I think the answer to your first question should be:

30a²b - 30ab²

Your second answer is good

whenever you're multiplying terms that have exponents you multiply the coefficients and add their exponents:

for example, 6a²b³c x 2abc = 6(2)(a²)(a)(b³)(b)(c)(c)

= 12a³b⁴c²

8 0
2 years ago
Please help me with this it is hard for me but not for my seniors First person with correct answer gets Brainliest answer.
kifflom [539]

Answer:

Step-by-step explanation:

a. 2x + 36

2. 6a + 15b

3. 35x + 15y

4. 3p + 2q

5. 3a + 8

3 0
2 years ago
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