HALPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP. Please no links :P

The time when the concentration of the chemical in the tank is 0.8 lb/gal is 36.31 minutes.

Let C be the concentration of the chemical in the tank and V be the volume of the tank.

Initially, V = 100 gal and C = 40 lb/100 gal = 0.4 lb/gal.

Let t be the time in minutes.

The rate of change of C is given by:

dC/dt = (5*3.5 lb/gal - 7*C)/V

Solving the differential equation, we get:

C = 0.4 + 0.6e^(-7t/100)

Setting C = 0.8 lb/gal, we get:

0.8 = 0.4 + 0.6e^(-7t/100)

=> 0.6e^(-7t/100) = 0.4

=> e^(-7t/100) = 0.67

=> -7t/100 = ln 0.67

=> t = 100*ln0.67/-7

=> t = 36.31 minutes

Therefore, the time when the concentration of the chemical in the tank is 0.8 lb/gal is 36.31 minutes.

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a)The radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.b)The radius of convergence is R = |1 + i - i| = |1| = 1. c)The radius of convergence is R = |1 + i - i| = |1| = 1.

The radius of convergence of a Taylor series centered at a point z0 is the distance from z0 to the nearest singularity of the function.

(a) The function sinz/e^z has singularities at z = kπi for any integer k, and the nearest singularity to z0 = -2 is at z = -πi. Therefore, the radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.

(b) The function 1/cosz' has singularities at z = (k + 1/2)π for any integer k, which are equidistant from z0 = 0. Therefore, the radius of convergence is R = π/2.

(c) The function z^2+1/(z−i) has a singularity at z = i, which is the nearest singularity to z0 = 1 + i. Therefore, the radius of convergence is R = |1 + i - i| = |1| = 1.

Note that these radii of convergence only guarantee convergence within the radius; the series may converge or diverge at the boundary.

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Answer:

can you tell me please

Step-by-step explanation:

nicest

Answer:

37% = 37/100 as a fraction

Step by Step Solution

To convert 37 percent to a fraction follow these steps:

Step 1: Write down the percent divided by 100 like this:

37% = 37/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As 37 is an integer, we don't have numbers after the decimal point. So, we just go to into decimal0.37. into fraction 37/100

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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Answer:

12.9 cm

Step-by-step explanation:

area of full circle = 2 X 65.8 = 131.6cm².

131.6 = π r² = (3.14r²)

r² = 131.6/3.14 = 41.9108....

r = 6.47.

diameter = 2r = 12.94 = 12.9 cm to nearest tenth

Answer:

x\(\leq\)4

Hope this helps!

Answer:

Step-by-step explanation:

x + 3 y = 1 ----------------(I)

-3x - 3y = -15 -------------(II)

Add the equations and y will be eliminated and we can find the value of x

(I)     x + 3y = 1

(II)   -3x -3y = - 15   {Now add}

      -2x         = - 14

                 x = -14/-2

x = 7

Plugin x =7 in equation (I)

7 + 3y = 1

    3y = 1 - 7

     3y = -6

       y = -6/3

y = -2

Hii, hope this helps

Y= - 2

X = 7

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

Answer:

\(ln(\frac{8}{5x} )=ln(8)-ln(5)-ln(x)\)

Step-by-step explanation:

Use the properties of logarithms on each step:

First use the property for the logarithm of a quotient:

\(ln(\frac{a}{b} )=ln(a)-ln(b)\)

So we get: \(ln(\frac{8}{5x} )=ln(8)-ln(5x)\)

Now, we can expand the last term using the property of logarithm of a product:

\(ln(a\,*\,b)=ln(a)+ln(b)\)

Therefore we write \(ln(5x)=ln(5)+ln(x)\)

No we insert this result in the subtraction we had before:

\(ln(\frac{8}{5x} )=ln(8)-ln(5x)=ln(8)-(ln(5)+ln(x))=ln(8)-ln(5)-ln(x)\)

The coordinate pair for a point on the graph of the function h(x) = 5x - 3 is given by (x, h(x)), where x is the value of the independent variable and h(x) is the value of the dependent variable.

If you have a specific value for x, you can use it to find the corresponding value of h(x) using the equation of the function: h(x) = 5x - 3. For example, if x = 2, then h(x) = 5 * 2 - 3 = 7, so the coordinate pair associated with x = 2 is (2, 7).

So, to find the coordinate pair for a specific value of x, you can plug in the value into the equation of the function and solve for h(x).

A function is a rule that assigns a unique output value for every input value. The function h(x) = 5x - 3 takes an input value of x and outputs a value of h(x). The input value x is called the independent variable, and the output value h(x) is called the dependent variable.

The coordinate pair for a point on the graph of the function h(x) = 5x - 3 is given by (x, h(x)), where x is the value of the independent variable and h(x) is the value of the dependent variable.

To find the coordinate pair for a specific value of x, you can use the equation of the function h(x) = 5x - 3. Simply substitute the value of x into the equation and solve for h(x). For example, if x = 2, then h(x) = 5 * 2 - 3 = 7, so the coordinate pair associated with x = 2 is (2, 7).

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A function is given by the equation h(x) = 5x - 3. Write the coordinate pair for the point associated with the given values in the function notation?

Answer:

X = (167-6y)/18

y = (167-18x)/6

Step-by-step explanation:

seems like the question is incomplete but we can solve based on what you have provided.

we open the brackets

10x -17 + 6y + 29 +8x +1 = 180

collect like terms

10x + 8x +6y = 180 - 13

18x + 6y = 167

if we want X we need to make it the subject of the formula

18x = 167-6y

X = (167-6y)/18

if we want y we make it subject of the formula

6y = 167-18x

y = (167-18x)/6

Answer: $7.58

Step-by-step explanation:

22.74 / 3 = $7.58

SOLUTION

We want to solve

To do this, change the mixed fraction into improper fraction.

We say, 2 multiplied by 12, then plus 1. We write the result as the numerator over the denominator which is 2. That is

We then multiply by 4, we have

Hence the answer is 50

To prove the equation \(\frac{1}{\tan(2\theta) - \tan(\theta)} - \frac{1}{\cot(2\theta) - \cot(\theta)} = \cot(\theta)\) we'll simplify the left side, this is shown below:

Using the trigonometric identities \(\tan(2\theta) = \frac{2\tan(\theta)}{1 - \tan^2(\theta)}\) and \(\cot(\theta) = \frac{1}{\tan(\theta)}\)

We can rewrite the expression as \(\frac{1}{\tan(\theta)(1 - \tan(\theta))} - \frac{\tan(\theta)}{\tan(\theta)(1 - \tan^2(\theta))}\)

Combining the fractions with a common denominator, we obtain \(\frac{1 - \tan(\theta)}{\tan(\theta)(1 - \tan(\theta))}\)

Simplifying further, we cancel out the \((1 - tan(\theta))\) terms, leaving us with \(\frac{1}{\tan(\theta)}\) = \(\cot(\theta)\), which is equivalent to the right side of the equation.

Thus, the equation is proven.

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The simplified expression after simplification is ,

1) 4a

2) -12\(x^5\)

3) 27\(x^3\)

4) 3x-4

What is simplification of expression?

 The process of solving a math problem is simply known as simplifying an expression. In essence, you aim to write an expression as simply as you can when you simplify it. By the time you're done, you shouldn't have any more addition, subtraction, multiplication, or division to do. Making anything simpler is the definition of simplify. Reducing an expression, fraction, or mathematical problem to its simplest form is known as simplification. Using calculations and solving the problem makes it simple.

Here the given expressions are,

1) 5a-3a+2a

=> (5-3+2)a

=> 4a

2)-4\(x^2\).x.3\(x^2\)

=> -4*3\(x^(2+1+2)\)

=>-12\(x^5\)

3)\((3x^1)^3\)

=> \(3^3.x^3\)

=>27\(x^3\)

4)5-3(x+3)+6x

=>5-3x-9+6x

=>3x-4

There fore the simplified expressions are

1) 4a

2) -12\(x^5\)

3) 27\(x^3\)

4) 3x-4

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Answer:

Step-by-step explanation:

4x is in a multiplication form

4x=36

meaning a number when multiplied with 4 gives the answer 36

hence in order to find the answer

36 divided by 4 which is equivalent to 9

answer is 9

Answer:  \(x = 9\)

Step-by-step explanation:

We must isolate \(x\) on one side of the equation in order to solve the equation \(4x = 36\) for \(x\).

Step 1: Divide both sides of equation by 4:

\(\frac{4x}{4} = \frac{36}{4}\)

Step 2: Simplify

\(x = 9\)

Therefore, the solution to the equation is \(x = 9\).

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Rearranging an algebraic equation so that \(x\) is on one side and all other terms are on the other side of the equal sign is known as isolating \(x\).

649, 852 are digit is in the hundred thousands place in Whole numbers.

What in mathematics is a whole number?

Whole numbers those figures that contain zero and natural integers. not a decimal or fraction. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer. 0, the opposite of something, or a counting number.

649 -

The 6 is in the hundreds place, so you in order to round it you would look at the 4. Since 4 is a a number less than 5 you round down. That would mean 600 instead of 700.

852 -

852 rounded to the neatest hundred is 900.

852 is closer to 800 or 900, we need to determine how high the lower values are. Since 52 is closer to 100 than 0, this means the total number should be rounded up. Therefore the answer is 900.

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The correct anwer is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The two inequalities √4<√5<√√55 and √8<2.9<√√9. are true.

√4<√5<√√55  → 2 < 2.23 < 7.41

√8<2.9<√√9    → 2.82 < 2.9 < 3

Therefore correct answers is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.

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Answer:

4.07

Step-by-step explanation:

I am genius

Answer:

4/3 or 1 1/3

Step-by-step explanation:

Answer:

1.) A.) -5/2

2.) B. {(–5, 8), (–5, 2), (–3, 3), (–3, 1), (0, 4), (0, 5), (–5, 7), (–3, 6)}

Step-by-step explanation:

Imma genius

The most direct way to measure how dispersed a set of scores is, is by using the range. The range is calculated by subtracting the lowest score from the highest score in the dataset, which gives a quick and easy measure of the spread of the scores.

However, the range can be influenced by extreme scores and may not provide a complete picture of the variability. Other measures of variability, such as the standard deviation and variance, take into account the variability of all scores in the dataset and provide a more robust measure of variability.

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The probability that exactly 6 individuals in the sample favor this president candidate is 0.2068.

The area of mathematics known as probability deals with the outcomes of random events. Probability refers to a result's chance or potential. It clarifies the likelihood that a specific occurrence will take place. We frequently say things like, "He will probably pass the test," "There is very little chance of receiving a storm tonight," and "Most likely the price of onions will increase once more." We substitute the word probability for every instance of chance, uncertainty, maybe, likely, etc. in these statements. In essence, probability is the ability to anticipate an outcome based on the variety and quantity of potential possibilities or the analysis of historical data.

Given,

P( favor president) = 0.4

P( does not favor president) = 0.6

P( x = 6)

= ¹⁵C₆ (0.4)⁶(0.6)⁶⁻³

= 15!/6!9! (0.6)³(0.4)⁶

= 0.2068916

= 0.2068

The probability that exactly 6 individuals in the sample favor this president candidate is 0.2068.

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Answer:

Time varies, some people are awake

It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:

Interest = Principal * Rate * Time

In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.

Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).

$800 = $9500 * 0.0825 * (t / 365)

Simplifying the equation:

800 = 9500 * 0.0825 * (t / 365)

Divide both sides by (9500 * 0.0825):

800 / (9500 * 0.0825) = t / 365

Simplify the left side:

800 / (9500 * 0.0825) ≈ 0.1083

Now, solve for t by multiplying both sides by 365:

0.1083 * 365 ≈ t

t ≈ 39.532

Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

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