Determine the domain of the following graph

The value of  dy/dx at x = 1 is  mathematically given as

dy/dx=5-1.8898i

This is further explained below.

Generally, Given that cost y of producing x gallons ag an implicit evaluation

y^2-10 x y=200

Differentiate the above equation as

[tex]\begin{aligned}&2 y y^{\prime}-10 y-10 x y^{\prime}=0 \\&y^{\prime}(2 y-10 x)=10 y \\&y^{\prime}=\frac{10 y}{2 y-70 x}=\frac{5 y}{y-5 x}\end{aligned}[/tex]

when x=1, substitute in the given equation to get y value

y^2-10 y=200

or

y=5+13.2288i

y=5−13.2288i

y represents the cost and hence cannot be negative Hence practical solution for y is y=5+13.2288i substitute in the ' y ' equation to get [tex]$\frac{d y}{d x}$ at $x=1$[/tex]

when x=13 y=5+13.2288i

Hence

d y/d x at x=1 will be

dy/dx[tex]=\frac{5(5+13.2288i)}{5+13.2288i-5}[/tex]

[tex]dy/dx=\frac{25+66.144}{13.2288i}[/tex]

dy/dx=5-1.8898i

In conclusion, the value of  dy/dx at x = 1 i

dy/dx=5-1.8898i

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The regular pentagon can be rotated through at angles of 72, 144°, 216°, and 288° to map it onto itself.

A polygon is a two-dimensional geometric shape having a finite number of sides. Single-direction segments are connected end to end to make a closed shape on the sides or edges of polygons. The locations where two line segments converge to construct an angle are referred to as vertices or corners.

It is given that:

The pentagon has five sides.

As we know, the standard pentagon has five vertices and internal angles that are each 72 degrees. A regular pentagon also possesses rotational symmetry.

The angles are 72°.144°,216°, and 288°.

Thus, the regular pentagon can be rotated through at angles of 72, 144°, 216°, and 288° to map it onto itself.

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Answer:

1/6 is greater than 0.16

Step-by-step explanation:

0.16 as a fraction is 4/25

4/25 < 1/6

Answer:

because it is a square, you just need to make a square with the side lenghts all being a or b

Step-by-step explanation:

Out of the population being surveyed, the one that could result in a sample statistic but not a parameter is; B: 50

A sample statistic is a piece of information you get from a fraction of a population.

A parameter is a number describing a whole population (e.g., population mean), while a statistic is a number describing a sample (e.g., sample mean).

Now, we are told that a population consists of 5000 people. This means that the sample statistic could be the sample mean which could be 50 but certainly not 5000 as the sample statistic can't be same as the population.

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By using dimensional analysis we find the following two results:

a) 0.30 m = 0.984 ft

b) 150 km / h = 1.554 mi / h

In this problem we must find a quantity of a given unit that is equivalent to another value of another unit of the same kind. For instance, we must look up for the quantity in a unit length equivalent to another quantity in another unit length. Now we proceed to obtain all the equivalencies by simple rule of three:

a) 0.30 m × (1 ft / 0.3048 m) = 0.984 ft

b) 150 km / h × (1 mi / 1.609 km) × (1 h / 60 min) = 1.554 mi / h

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Answer:

See below

Step-by-step explanation:

Expand to get    x^2 - 8x + 40 = 0

  a = 1      b = -8    c = 40

Answer: 4/15

Step-by-step explanation:

3 hours=

3*60 minutes=180 minutes

48:180=

(24*2):(90*2)=

(12*2*2):(45*2*2)=

(4*3*2*2):(15*3*2*2)=4/15

Step-by-step explanation:

40 = 100%

1% = 100%/100 = 40/100 = 0.4

how many % are 32 ?

as many % as 1% (0.4) can fit into 32 :

32 / 0.4 = 80%

his grade was 80%.

The result can be shown in multiple forms.

Exact Form:

15/7

Decimal Form:

2.142857

Mixed Number Form:

2   1/7

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Usually I try to explain what to do, but it's been a hot second from when I learned this. I uploaded a picture that might help.
This is a free tool for solving math problems if you ever need help: (no spaces or exclamation point) mat h way . co!m

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much love <333 good bye!!

Yes , the equation y =8ˣ  defines y as a function of x.

Yes, because to fulfill the condition of an equation to be a function, a particular value of x must produce only one value of y and y =8ˣ fulfills the condition. This can be also tested using horizontal line test, which only cuts the graph at one point only,

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The true statement is c. Saving by either option A or option B will allow them to meet their goal.

A true statement can be described as the statement that  that the  message is been stated or declared which could be in a communication (oral or written) in setting forth particulars or facts.

In this case, we can see that true statement is c. Saving by either option A or option B will allow them to meet their goal this is because we can see a fact from how both option present their words.

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COMPLETE QUESTION:

Option A: Stay with saving the original amount each week but take the class a week later than originally planned.

Option B: Increase the amount of money he saves each week by $15 from his original plan.

The 5.1 cubic ft of water weighs 317.77 pounds

The weight of 5.1 cubic ft of water in tons is 0.16 tons

From the question, we are to calculate how much 5.1 cubic ft of water weigh in pounds

From the given information,

"one cubic foot holds 7.48 gallons of water"

Therefore,

5.1 cubic ft of water = 5.1 × 7.48 gallons of water

= 38.148 gallons of water

Also,

"one gallon of water 8.33 pounds"

That  is,

38.148 gallons of water = 38.148 × 8.33 pounds

= 317.77 pounds

Thus, 5.1 cubic ft of water weigh 317.77 pounds

For the weight in tons

NOTE: 1 pounds = 0.0005 tons

∴ 317.77 pounds = 0.0005 × 317.77 tons

= 0.158886 tons

≈ 0.16 tons

Hence, the weight of 5.1 cubic ft of water in tons is 0.16 tons

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The turning point is the point where the function changes its slope for the given mode function f(x)=|x|+4 the turning point is at (0,4) so option (B) will be correct.

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand behavior of the graph.

Given the mode function,

f(x)=|x|+4

For x < 0 the function f(x) will be

f(x) = -x + 4

For x > 0 the function f(x) will be

f(x) = x + 4

Now,

Slope at x < 0 → f'(x) = -1

Slope at x > 0 → f'(x) = +1

Since the slope is changing at x = 0 there fore x = 0 will be the turning point of the graph.

Hence "The turning point of the given mode function f(x)=|x|+4 will be at x = 0".

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Answer:

6-9x

Step-by-step explanation:

Converted from word to standard form.

Hope it helps!

Answer:

scale factor from A to B = 3

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original

scale factor = [tex]\frac{9}{3}[/tex] = 3 ( measure of horizontal sides )

Answer:

17.5 inches

Step-by-step explanation:

Let the length of the shorter piece be x

Shorter piece + Longer piece = Whole string

x + (x + 7) = 42

x + x + 7 = 42

Both sides minus 7 to remove the 7 from the left side of the equation.

2x + 7 - 7 = 42 - 7

2x = 35

x = 17.5 inches

Hope this helped! ^^

Answer: x-2=2 (x=4)

Step-by-step explanation:

4 minus 2 equals 2

Answer:

6

Step-by-step explanation:

There are six teaspoons in one fluid ounce - lots of conversion sites out there to get more info if needed.

The arrangement is as follows 107,568 ; 107,658 ; 108,567

Ascending order is an arrangement from smallest to largest value.

Given:

108,567; 107,658; and 107,568

We have to arrange these numbers from least to greatest

smallest number = 107,568

largest number = 108,567

Hence, the arrangement is 107,568 ; 107,658 ; 108,567

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Answer:

it's easy if you set your mind to it, think about it angain

Answer:

81/730

Step-by-step explanation:

The chance of picking a day forecasted to have no rain is 45/365.

There is a 90% chance it actually rains on this day, so the probability is

[tex](45/365)(0.9)=81/730[/tex]

Answer:

Banks charge fees to help make a profit.

Step-by-step explanation:

Bank fees allow financial institutions to recoup operating expenses. Banks also make money on loans, via interest and other fees.

Answer: 39

Step-by-step explanation: 15 is the number of movies he has already. The t in the formula stands for months. So simply plug in 8 for t because we want to know how much has has after 8 months

15+3(8)

15+24

=39

If the sum of a number and two is tripled, the result is five less than twice the number, the number is - 11

Let the given number be x,

the number, x is added with 2 and then it is tripled which means       (x + 2)*3 is equal to five less than two times of that number which is 2x - 5

3(x + 2) = 2x - 5

3x + 6 = 2x - 5

3x - 2x = - 5 + (-6)

x = - 11

Therefore, If the sum of a number and two is tripled, the result is five less than twice the number, the number is - 11

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Answer:

Step-by-step explanation:

Newton’s law of cooling describes the rate at which an exposed body changes temperature through radiation which is approximately proportional to the difference between the object’s temperature and its surroundings, provided the difference is small.

Definition: According to Newton’s law of cooling, the rate of loss of heat from a body is directly proportional to the difference in the temperature of the body and its surroundings.

Answer:

Radioactivity is the phenomenon of the spontaneous disintegration of unstable atomic nuclei to atomic nuclei to form more energetically stable atomic nuclei. Radioactive decay is a highly exoergic, statistically random, first-order process that occurs with a small amount of mass being converted to energy. Since it is a first-order process, each radioactive species is characterized by its own half-life, the length of time in which an initially very large number of such nuclei will have decayed to only half the original number.

Step-by-step explanation:

Answer:

A to B: 4

B to A: 1/4

The reasonable domain for this function is [tex](x > 0)[/tex] .

The collection of all feasible values for the independent variable is referred to as a function's domain.

When we substitute different values for the independent variable from the domain, the dependent variable's range refers to the set of all conceivable values for that variable.

Let the width of the rectangle be x units.

Thus as per given information length becomes x+4 units.

It is given, the area of rectangle can be expressed by the equation

[tex]y=x^{2} +4x[/tex]

Now let's find domain of this function.

clearly x cannot be zero and x cannot be negative because x represents the width of the rectangle and the width of a rectangle cannot be zero or negative.

Therefore the domain of the function is

[tex](0,\infty)[/tex] or x>0 .

Therefore the domain is given by the thirds option (c) x>0 .

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Using the given histogram, we have that 90% of the players in the sample have scores that are less than 2300.

This problem is incomplete, but researching it on a search engine, we have that the histogram states as follows:

It asks the proportion of players in the sample with scores that are less than 2300.

An histogram is a graph that shows the number of times each element of x was observed.

Above, we already gave the amounts presented by histogram, and we have that 45 out of 50 players have scores that are less than 2300, hence the proportion is given by:

p = 45/50 = 0.9.

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