Multiple x^2/3•x^1/5

The pressure at sea level is 11 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of

Liono4ka [1.6K]

Answer:

The function $p(x) = 0.1x+1$ , where x is the depth in meters.

Step-by-step explanation:

As per the statement: The pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases.

Then, we have the two points i,e (0, 1) and (23, 3.3).

An equation of the line is in the form of y=mx+b where m is the slope or rate of the line and b is the y-intercept.

Let x represents the depth in meters and p(x)= y represents the pressure in atmosphere.

Calculate slope of the line:

Slope of line(m) is given by:

$m = \frac{y_2-y_1}{x_2-x_1}$

Substitute the given point we have;

$m = \frac{3.3-1}{23-0} = \frac{2.3}{23} = 0.1$

Then, our equation of line become:

y = 0.1x + b .....[1]

To solve for b;

Substitute the point (0, 1) in [1];

$1 = 0.1(0)+b$

$1 = b$

Our equation for this line become: y = 0.1x +1

Now, we write this for x as a function of p,

i.e, p(x) = 0.1x + 1

Then, the function formula become;

$p(x) = 0.1x+1$ where x is the depth in meters.

6 0

3 years ago

Malcom’s Tee Shirt & Jacket Company is to produce a new line of rain coats. There are fixed costs of $570 to set up for prod

Dimas [21]

Answer:

$C(x)=30x+570$

a) $4110

Step-by-step explanation:

Let x represent number of rain coats and C(x) represent total cost to produce new line of rain coats.

We have been given that the fixed costs of $570 to set up for production, and variable costs of $30 per jacket.

The cost of x jackets would be $30x$ .

The total cost of x jackets would be variable cost of x jackets plus fixed costs that is $570.

Therefore, the total cost of producing x rain coats would be $C(x)=30x+570$ .

To find the total cost of producing 118 rain coats, we will substitute $x=118$ in the above equation as:

$C(118)=30(118)+570$

$C(118)=3540+570$

$C(118)=4110$

Therefore, the total cost of producing 118 rain coats is $4110 and option 'a' is the correct choice.

6 0

3 years ago

Dennis and Ivy share some sweets between them in the ratio 7:4 Dennis got 42 sweets. How many does ivy get

MrRa [10]

Answer:

$Ivy = 24$

Step-by-step explanation:

Given

$Dennis : Ivy = 7 : 4$

Required

Determine the amount of sweet Ivy gets when Dennis = 42

We have:

$Dennis : Ivy = 7 : 4$ and

$Dennis = 42$

Substitute 42 for Dennis in $Dennis : Ivy = 7 : 4$

$42 : Ivy = 7 : 4$

Convert to fraction

$\frac{42}{Ivy} = \frac{7}{4}$

Cross Multiply:

$Ivy * 7 = 42 * 4$

Divide through by 7

$\frac{Ivy * 7}{7} = \frac{42 * 4}{7}$

$Ivy = \frac{42 * 4}{7}$

$Ivy = 6* 4$

$Ivy = 24$

6 0

3 years ago

What is the answer to this question

lidiya [134]

Answer: 8

Step-by-step explanation:

16÷ 2 = 8

3 0

3 years ago

Read 2 more answers

Giving brainliest :)

Verizon [17]

Answer:

$f^{-1}(x)=x^2+1$

Step-by-step explanation:

The inverse of a function is when the x and y are swapped. So the first step is to write f(x) as y and then swap the x and y

Original Equation:

$f(x)=\sqrt{x-1}\\$

write f(x) as y (since that's what it represents)

$y=\sqrt{x-1}$

Swap x and y

$x=\sqrt{y-1}$

Square both sides

$x^2=y-1$

Add 1 to both sides

$x^2+1=y$

So this gives you the equation:

$f^{-1}(x)=x^2+1$

8 0

2 years ago