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Ivan
3 years ago
10

Can anyone help me with number 5?

Mathematics
1 answer:
Sav [38]3 years ago
3 0

Answer:

a

Step-by-step explanation:

You might be interested in
What is x squared minus 18x equal to negative 32
lisabon 2012 [21]

Answer:

x=16

x=2

Step-by-step explanation:

x^2-18x=-32\\x^2-18x+32=0\\(x-16)(x-2)=0\\\\x-16=0\\x=16\\\\x-2=0\\x=2

8 0
2 years ago
What is 22% expressed as a fraction in simplest form?
nata0808 [166]
<span>22% when expressed as a fraction is 22/100.
 to write this in the simplest form, we have to keep dividing both numerator and denominator by a common number.
22/100 , both are divisible by 2. therefore when 22/100 is divided by 2
</span>\frac{22/2}{100/2} =  \frac{11}{50}<span>
then we get 11/50. this cannot be divided any further by a common factor to both. therefore simplest form is 11/50</span>
6 0
3 years ago
3² • 9³ = [ ]<br>solve ​
RideAnS [48]

Answer:

3⁸ or 6561

Step-by-step explanation:

First, let's look at PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

There are no parentheses, so let's solve the exponents.

3² • 9³

3² = 9

9³ = 729

Your expression is:

9 • 729

Now let's multiply.

= 6561

This number can also be expressed with exponents.

Since 9 = 3², 9³ = 3²⁽³⁾

Now your expression is:

3² • 3²⁽³⁾

First, solve the exponents by multiplying.

3² • 3⁶

When you multiply two expressions with exponents that have the same base (3), you add the exponents.

3² • 3⁶ = 3⁽²⁺⁶⁾ = 3⁸

3⁸ also equals  6561.

Your answer is 3⁸ or 6561.

Hope this helps!

4 0
3 years ago
Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker sys
il63 [147K]

Answer:

a)  P(x)=-0.042x^2+530x-18000

b)  P'(x)=-0.084x+530

c)

P'(4000)=194

P'(9500)=-268

Step-by-step explanation:

a)

We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:

P(x) = R(x) - C(x)

Finding Profit Function (P(x)):

P(x) = R(x) - C(x)\\P(x) = -0.042x^2+800x-(270x+18000)\\P(x)=-0.042x^2+800x-270x-18000\\P(x)=-0.042x^2+530x-18000

This is the profit function.

b)

The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.

Remember the power rule for differentiation shown below:

\frac{d}{dx}(x^n)=nx^{n-1}

Now, we differentiate the profit function to get the marginal profit function (P'):

P(x)=-0.042x^2+530x-18000\\P'(x)=2(-0.042)x^1+530x^0-0\\P'(x)=-0.084x+530

This is the marginal profit function , P'.

c)

We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:

P'(x)=-0.084x+530\\P'(4000)=-0.084(4000)+530\\P'(4000)=194

and

P'(x)=-0.084x+530\\P'(9500)=-0.084(9500)+530\\P'(9500)=-268

6 0
3 years ago
I don't know how to do this can you plz help? ​
Vanyuwa [196]

sin45=5/x so x is 5/(sin45)

y is 5/(tan45)

question 5 then you just go x= (9sqrt(2)/2)/sin45

i don’t have a calculator rn so just plug it into it

7 0
3 years ago
Read 2 more answers
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