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2 years ago

Evaluate (2-3)^(4) - 9 = 3. 0-7 0-2 0 1 02

Mathematics

2 answers:

hichkok12 [17]2 years ago

8 0

Answer:

Option (C) 1 is the correct answer.

Step-by-step explanation:

To solve the above equation we will follow the PEDMAS rule.

It stands for :

$\purple\star$ Parentheses
$\purple\star$ Exponents
$\purple\star$ Multiplication
$\purple\star$ Division
$\purple\star$ Addition
$\purple\star$ Subtraction

Evaluating the question by Pedmas rule :

$\begin{gathered}\qquad{\twoheadrightarrow{\tt{(2 - 3) ^{4}(4) - 9 \div 3}}} \\ \\ \qquad{\twoheadrightarrow{\tt{( - 1) ^{4}(4) - 9 \div 3}}} \\ \\ \qquad{\twoheadrightarrow{\tt{(1) (4) - 9 \div 3}}} \\ \\ \qquad{\twoheadrightarrow{\tt{1 \times 4 - 9 \div 3}}} \\ \\ \qquad{\twoheadrightarrow{\tt{4 - 9 \div 3}}} \\ \\ \qquad{\twoheadrightarrow{\tt{4 - 3}}} \\ \\ \qquad{\twoheadrightarrow{\tt{1}}} \end{gathered}$

Hence, the answer is 1.

$\rule{300}{2.5}$

EleoNora [17]2 years ago

6 0

Answer:

Step-by-step explanation:

(2-3)⁴ *4 - 9 + 3 = (-1)⁴ *4 - 9 + 3

= 1*4 - 9 +3

= 4 - 9 + 3

= - 5 + 3

= - 2

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Find the m∠2 90° 67° 157° 57°

MariettaO [177]

Answer:

The answer to this is 39°

Step-by-step explanation:

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4 years ago

In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate claim form after purchasing a product,

Vadim26 [7]

Answer: 0.2872

Step-by-step explanation:

Given : In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate claim form after purchasing a product, 260 of these people said they never did so.

i.e. n= 1000 and x= 260

⇒ Sample proportion : $\hat{p}=\dfrac{260}{1000}=0.26$

z-value for 95% confidence interval : $z_c=1.960$

Now, an upper confidence bound at the 95% confidence level for the true proportion of such consumers who never apply for a rebate. :-

$\hat{p}+ z_c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$=0.26+ (1.96)\sqrt{\dfrac{0.26(1-0.26)}{1000}}$

$=0.26+ (1.96)(0.01387)=0.26+0.0271852=0.2871852\approx0.2872$

∴ An upper confidence bound at the 95% confidence level for the true proportion of such consumers who never apply for a rebate : 0.2872

7 0

3 years ago

QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu

Harman [31]

Answer:

(a)Revenue function, $R(x)=580x-x^2$

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit, $P(x)=-35x^2+280x-900$

(d)x=4

Step-by-step explanation:

Part A

Price Function $= 580 - 10x$

The revenue function

$R(x)=x\cdot (580-10x)\\R(x)=580x-x^2$

The marginal revenue function

$\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x$

Part B

(Fixed Cost)

The total cost function of the company is given by $c=(30+5x)^2$

We expand the expression

$(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2$

Therefore, the fixed cost is 900 .

Marginal Cost Function

If $c=900+300x+25x^2$

Marginal Cost Function, $\frac{dc}{dx}= (900+300x+25x^2)'=300+50x$

Part C

Profit Function

Profit=Revenue -Total cost

$580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900$

Part D

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

$P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4$

The number of cakes that maximizes profit is 4.

6 0

3 years ago

Alexa and Rose read books that have the same number of pages. Alexa's book is divided into 8 equal chapters. Rose's book is divi

Jobisdone [24]

Alexa has read 3/8 chapters, while Rose has read 3/6, or 1/2, meaning that Rose has read more pages than Alexa.

6 0

3 years ago

Read 2 more answers

Calculate the lengths of the 2 unlabeled sides...

elixir [45]

Since it’s a square we know that GJ has to be the same as GH. To find a diagonal you would do a^2 + b^2 = c^2. Which gives us about 9.19. So GJ=6.5 and JH=9.2

3 0

3 years ago