3/48
X
у
Find Lx and LY

Answer:

l=7.65

Step-by-step explanation:

Square perimeter: 4l, where l is the length on each side.

4l=30.6

l=7.65

Answer:

Since the side lengths of a square are all equal the answer is 30.6 / 4 = 7.65 cm. We divide by 4 because a square has 4 sides.

The values of x for which the graph of y = 6x² + x/2 + 3 + 6/x is concave downward are all negative values of x.

We are given that y = 6x² + x/2 + 3 + 6/x

This function can be written in the following form:

y = 6x² + 3 + (x/2) + (6/x)

Now, we will calculate the second derivative of y.

The first derivative of y is given as follows:

y' = 12x + 1/2 - 6/x²

Differentiating the first derivative of y, we obtain the second derivative of y:

y'' = 12 + 12/x³

Let's analyze the sign of y'' to find out the nature of the graph. We have two cases:

1. When x < 0In this case, x³ is negative and hence, 12/x³ is negative.

Therefore, y'' is negative for x < 0.2. When x > 0

In this case, x³ is positive and hence, 12/x³ is positive.

Therefore, y'' is positive for x > 0..

Using the second derivative test, we can conclude that the graph is concave downwards in the interval (-∞, 0). Therefore, the values of x for which the graph of y = 6x² + x/2 + 3 + 6/x is concave downward are all negative values of x.

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Answer:

16000280

Step-by-step explanation:

hope this helps.

Answer:

35*x=280

Step-by-step explanation:

Answer:

x = 8

35 x 8 = 280

Step-by-step explanation:

Answer:

I graphed the answer above in the image

Answer:

(a+6)²

by identity (a+b)²=a²+2ab+b²

(a+6)²= a²+ 2×a×6 + 6²

= a²+ 12a + 36

(2a)²+5a = 4a²+5a

The population after one hour is 997.

Bacterial population:

The rate of exponential growth of a bacterial culture is expressed as generation time, also the doubling time of the bacterial population. Generation time (G) is defined as the time (t) per generation (n = number of generations).

Therefore the equation is:

G = t/n

Here we have to find the population after one hour.

It is given the rate as:

dP/ dt = 1000- 6t

The population after 1 hour if given by:

P = \(\int\limits^1_0 {1000- 6t} \, dt\)

So we have to use the differential.

P = \([1000 - 3t^{2} ]_{0}^{1}\)  

  = 997

Therefore 997 is the population.

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Answer:

b

Step-by-step explanation:

Step-by-step explanation:

40 strawberries in the farm

Answer:

46

Step-by-step explanation:

There are 46 of straws on the farm

Answer:

D

Step-by-step explanation:

Solve through logic and brain rather than lengthy calculations

Trick to be used

See

Only option D contains y≤4

Option D is correct

Answer:

She will have a total of 17 pounds.

Step-by-step explanation:

You could simply put the question is slop intercept form to figure it out from there.

y = m(x) + b

y = 3(x) + 8

y = 3(3) + 8

y = 9 + 8

y = 17

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Answer:

40 percent

Step-by-step explanation:

22/55 = 0.4

0.4 = 40%

check answer: 55 x 0.4 = 22

Question 37:  The following is a solution to the differential equation y = t - 1. d.

Question 38:  The tea temperature be after a very long time is dT/dt = k(S - T); T ≈ 20 degrees after a very long time. a.

To determine the solution to the given differential equation: t²(d²y/dt²) - 6t(dy/dt) + 12 = 0, we can solve the equation by assuming a solution in the form of y = tⁿ, where n is a constant.

By differentiating y with respect to t, we can substitute the derivatives into the differential equation to determine the value of n.

Let's differentiate y = tⁿ with respect to t:

dy/dt = n × tⁿ⁻¹

d²y/dt² = n(n-1) × tⁿ⁻²

Substituting these derivatives into the differential equation:

t²(n(n-1)tⁿ⁻²) - 6t(ntⁿ⁻¹) + 12 = 0

Simplifying the equation:

n(n-1)tⁿ - 6ntⁿ + 12 = 0

n(n-1)tⁿ - 6ntⁿ = -12

Since this equation must hold for all values of t, the coefficients of the tⁿ terms on both sides of the equation must be equal.

We can equate the coefficients:

n(n-1) = 0

n = 0 or n = 1

The general solution to the differential equation is y = c₁ + c₂ × t, where c₁ and c₂ are constants.

According to Newton's law of cooling, the rate of change of the temperature T of an object is proportional to the temperature difference between the object's temperature T and the surroundings' temperature S.

We can write the differential equation as follows:

dT/dt = k(S - T)

dT/dt represents the rate of change of temperature, k is the proportionality constant, and (S - T) represents the temperature difference between the object and the surroundings.

The cup of tea starts at 100 degrees and cools to 50 degrees in 3 minutes, with the room temperature at 20 degrees.

We can assume that the temperature of the tea will tend toward the room temperature as time goes to infinity.

This option correctly represents that as time goes to infinity, the temperature T of the tea will approach the temperature S of the surroundings, which is approximately 20 degrees.

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a) Aerobic treatment is a biological wastewater treatment process that takes place in the presence of oxygen.

b) The biological growth types in wastewater treatment are Attached growth, Suspended growth.

A) The processes in wastewater treatment that take place in the presence of oxygen are:

1. Dehydrogenation of substrate followed by transfer of hydrogen or electrons to an ultimate acceptor: In this process, organic matter present in the wastewater is oxidized by microorganisms in the presence of oxygen. The microorganisms break down the organic matter, releasing electrons and protons. These electrons and protons are then transferred to an ultimate acceptor, which is typically oxygen. This process helps in the breakdown of organic pollutants and is an important step in wastewater treatment.
2. Nitrification: Nitrification is a two-step process that occurs in the presence of oxygen. Firstly, ammonia (NH3) is converted to nitrite (NO2-) by nitrifying bacteria, and then nitrite is further oxidized to nitrate (NO3-). This process helps in the conversion of harmful ammonia into less toxic nitrate, which is then removed from the wastewater.

B) The biological growth types in wastewater treatment are:
1. Attached growth: In this type of growth, microorganisms form a biofilm on a surface, such as rocks or plastic media, in the treatment system. The microorganisms attach themselves to the surface and grow as a biofilm. This biofilm provides a large surface area for the microorganisms to carry out biological processes, such as breaking down organic matter or removing nutrients.
2. Suspended growth: In this type of growth, microorganisms are suspended in the wastewater and form a mixed liquor. The microorganisms grow and multiply in the mixed liquor, carrying out biological processes. The mixed liquor is then separated from the treated wastewater through settling or filtration processes.
These biological growth types are essential in wastewater treatment as they play a crucial role in removing pollutants and improving the quality of the wastewater before it is discharged into the environment.

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Answer:

cereal : pecans : raisins = 2 : 1.5 : 1

Step-by-step explanation:

Given:

The amount of cereal in snack mix = 4 cups

The amount of pecans in snack mix = 3 cups

The amount of raisins in snack mix = 2 cups

Therefore,

The total amount of snack = 4 cups + 3 cups + 2 cups = 9 cups

Now,

The ratio is given as:

=  

therefore,

Ratio of cereal in snack mix =  

and,

Ratio of pecans in snack mix =  

Ratio of raisins in snack mix =  

Now,

we have ratio as:

4 : 3 : 2

i.e cereal : pecans : raisins

taking 2 common

we get

2 : 1.5 : 1

therefore,

the maximum amount

Step-by-step explanation:

Answer:

x=2, y=0

Step-by-step explanation:

There is a taxi driver Aiden and he uses M(n) model to determine the money he earned from each drive. As n stands for the drive number, the statement  M(8)<M(4) means that Aiden's fee for the  \(8^t^h\) drive is less than for his \(4^t^h\)  drive.

We know that Aiden is a taxi driver and he uses his M(n) model to find the amount he earned from each drive. In his M(n) model n signifies the drive number.

Given that M(8)<M(4):

In the above statement, M(8) stands for the \(8^t^h\) drive of Aiden, and M(4) stands for the \(4^t^h\) drive of Aiden.

By using his M(n) model, we can conclude the statement  M(8)<M(4) that Aiden earned more money for his \(4^t^h\) drive than he earned for his \(8^t^h\) drive.

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The complete question is:

Aiden is a taxi driver.

M(n) models Aiden's fee (in dollars) for his \(n^t^h\)drive on a certain day.

What does the statement M(8)<M(4), mean?

Answer:

x = 55°

Step-by-step explanation:

Inscribed Angle Theorem says that the angle inside the circle is equal to 0.5 times the measurement of the arc it span. For example, the 70° spans 140° of the arc.

Create two equations to solve for x and r.

x = 0.5r

2r + 2(70) = 360

2r + 140 = 360

2r = 220

r = 110

x = 0.5 * 110

x = 55°

Answer: 90-4x

Step-by-step explanation:

You can only simplify this equation

Answer:

90-4x

Step-by-step explanation:

180-90-(3x+x)

90 -(4x)

90-4x

Answer:

  circumcenter

Step-by-step explanation:

You want to know the name of the point equidistant from the vertices of a triangle.

The circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.

The point equidistant from the vertices of a triangle is the circumcenter.

__

Additional comment

The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.

Options b, d, and e are the true statements about the substitution method.

b. It is useful to solve the integral ∫2x sin x^2 dx.

d. It utilizes the formula ∫ f(u(x))u'(x) dx = ∫ f(u) du.

e. It is based on the chain rule for derivatives.

The true statements about the substitution method are:

b. It is useful to solve the integral ∫2x sin x^2 dx.

The substitution method is commonly used to simplify integrals and make them easier to evaluate. It can be applied to various types of integrals, including the given example.

d. It utilizes the formula ∫ f(u(x))u'(x) dx = ∫ f(u) du.

The substitution method involves making a substitution in the integral by introducing a new variable. This formula represents the fundamental principle of substitution, where the derivative of the substituted function appears in the integral.

e. It is based on the chain rule for derivatives.

The substitution method is based on the chain rule of derivatives. By making an appropriate substitution, the integral can be transformed into a new form that corresponds to a derivative of a simpler function.

Therefore, options b, d, and e are the true statements about the substitution method.

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Omar should go back and regroup the terms in step 1 as (3x^3 – 15x^2) – (4x + 20). In step 2, Omar should factor only out of the first expression.

When factoring polynomials, it is essential to look for common factors that can be factored out. In this case, Omar noticed that there are no common factors in the given polynomial. To proceed, he should go back and regroup the terms in step 1 as (3x^3 – 15x^2) – (4x + 20).

This regrouping allows Omar to factor out of the first expression, which can potentially lead to further factoring or simplification. However, without additional information about the polynomial or any specific instructions, it is not possible to determine the exact steps Omar should take after this point.

In summary, regrouping the terms and factoring out of the first expression is a reasonable next step for Omar to explore the polynomial further.

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Answer:

9x² + 7

Step-by-step explanation:

Add −42 and 49