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3 years ago

?? Please help answer and solve, showing the steps you took

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

4 0

We apply the concept of calculus here. You can determine the minimum or maximum in here if you take the derivative of a function and equate it to zero. The solution is as follows:

n = 20t² - 20t +120
dn/dt = 0 = 40t - 20 + 0
40t - 20 = 0
40t = 20
t = 20/40
t = 1/2 or 0.5

Therefore, the number of bacteria would be minimal at 0.5°C.

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Find the total surface area of this triangular prism base=5cm 9cm line in the middle 12cm width=20cm 2 lengths on triangle 13cm

nikklg [1K]

We have been given an image of a triangular prism. We are asked to find the total surface area of the the prism.

The total surface area of the prism wold be sum of areas of all faces.

First of all, we will find the area of base and other two rectangles on sides.

$\text{Area of base}=(5+9)\times 20$

$\text{Area of base}=14\times 20=280$

$\text{Area of other two rectangular faces}=15\times 20+13\times 20$

$\text{Area of other two rectangular faces}=300+260$

$\text{Area of other two rectangular faces}=560$

Now we need to find the area of two triangular faces.

$\text{Area of other two triangular faces}=2\times \frac{1}{2}\times (5+9)\times 12$

$\text{Area of other two triangular faces}=14\times 12$

$\text{Area of other two triangular faces}=168$

$\text{Total surface area}=280+560+168$

$\text{Total surface area}=1008$

Therefore, the total surface area of the prism is 1008 square cm.

5 0

4 years ago

National Textile installed a new textile machine in one of its factories at a cost of $250,000. The machine is depreciated linea

kirill115 [55]

Answer:

The required expression is $y=250,000-24,000 t$

Step-by-step explanation:

Consider the provided information.

National Textile installed a new textile machine in one of its factories at a cost of $250,000.

That means for 0 year the cost of the machine is $250,000.

This can be written as: (0, 250,000)

Over 10 years with a scrap value of $10,000

That means for 10 year the cost of the machine is $10,000.

This can be written as: (10, 10,000)

Now first find the rate of change:

Rate of change=m= $\frac{Rise}{Run}=\frac{10,000-250,000}{10-0}$

Rate of change=m= $\frac{Rise}{Run}=\frac{-240,000}{10}$

Rate of change=m= $\frac{Rise}{Run}=-24,000$

Now use the point-slope form of an equation of a line with the point (0, 250,000), we can find the required expression.

$(y-250,000)=-24,000(t-0)$

$y-250,000=-24,000 t$

$y=250,000-24,000 t$

Hence, the required expression is $y=250,000-24,000 t$

6 0

3 years ago

Match the transformation of the polynomial function f(x) = 2x3 − x2 − 5x + 3 with the resulting function.

AlekseyPX

Answer:

Parent Function: g(x)=x3

Horizontal Shift: Right 0.167 Units

Vertical Shift: Up 2.149Units

Reflection about the x-axis: None

Reflection about the y-axis: Reflected

Vertical Compression or Stretch: Stretched

Step-by-step explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

3 0

4 years ago

If 2^n+2-2^n+1+2^n= C*2^n, find the value of C

maxonik [38]

Answer:

c= 1

Step-by-step explanation:

To get rid of (c) on the right side, simply divide 2^n both side. But first collect like terms on the left side so you will get 2^n + 1 which you will then simplify the like term(2^n) and you will left with c= 1.

8 0

3 years ago

What is the value of x if 3x - 6 = 21 ?

Anestetic [448]

Answer:

Step-by-step explanation:

$3x-6=21\qquad\text{add 6 to both sides}\\\\3x-6+6=21+6\\\\3x=27\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{27}{3}\\\\x=9$

3 0

3 years ago

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