Use logarithms to solve the equation for t.
Round your answer to four decimal places.
50 / (1+3e^0.2t)=20

Answer: sry dunno

Step-by-step explanation:

Answer:

The degree of the polynomial is the greatest of its various terms' exponents (powers). This is a seconds degree polynomial.

Step-by-step explanation:

2x^2 - 3x^5 + 5x^6.

We observe that the above polynomial has three terms. Here the first term is 2x^2, the second term is -3x^5 and the third term is 5x^6.

Now we will determine the exponent of each term.

(i) the exponent of the first term 2x^2 = 2

(ii) the exponent of the second term 3x^5 = 5

(iii) the exponent of the third term 5x^6 = 6

Since the greatest exponent is 6, the degree of 2x^2 - 3x^5 + 5x^6 is also 6.

Therefore, the degree of the polynomial 2x^2 - 3x^5 + 5x^6 = 6.

Easy peasy, hope you understand now.

We rearrange the equation to solve for P: P = -1/(kt + C). For organisms that rely on chance encounters for mating, their population growth is governed by a differential equation of the form:

dP/dt = k * P^2

where P represents the population size and k is a constant that determines the growth rate.

To solve this differential equation, we can use separation of variables and integration:

dP/P^2 = k * dt

Integrating both sides:

∫ (1/P^2) dP = ∫ k dt

This gives us:

-1/P = kt + C

where C is the constant of integration.

To find the population size at a given time, we rearrange the equation to solve for P:

P = -1/(kt + C)

The constant C can be determined using an initial condition, which specifies the population size at a specific time.

So, by solving this differential equation, we can model the population growth of organisms that rely on chance encounters for mating. The equation allows us to understand how the population size changes over time and how it is influenced by the birth rate, which is proportional to the square of the population.

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Answer:

Step-by-step explanation:

x/6 = - 46

Multiply by 6 on both sides

x = - 46 x 6

x = - 276

Answer:

x= -276

Step-by-step explanation:

x/6=-46

x= -46(6)

x= -276

i think... :)

Answer:

1.) it is the same way as subtracting a fraction be cause a pizza is cut into 8 so it will be 1/8th of each slice if some one ate a slice of pizza

Step-by-step explanation:

The variance for acceptable products in the sample is 11.76.

The variance for  a random variable X representing the number of acceptable products in the sample can be determined using the formula:

Var(X) = n * p * (1 - p)

Where:

n is the number of products in the sample

p is the probability of a product being acceptable

In this case, n = 600 and p = 98% = 0.98

Substituting the values into the formula:

Var(X) = 600 * 0.98 * (1 - 0.98)

Var(X) = 600 * 0.98 * 0.02

Var(X) = 11.76

Therefore, the variance for acceptable products in the sample is 11.76.

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Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

the circle is 615.752160104 but the square196

Step-by-step explanation:

The inequality that shows a possible range in the dimensions of the rectangle is:

0 < w ≤ 8, 16 ≤ l

What is inequality?

Inequality is a mathematical statement that compares two quantities or expressions, indicating that they are not equal. In inequality, the two sides are connected by a relational symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

Let's use the given information to express the length and width of the rectangle in terms of the width:

The width (w) of the rectangle is half of its length (l): w = 0.5l

The perimeter of the rectangle is the sum of the lengths of all four sides: P = 2(l + w) = 2(l + 0.5l) = 3l

We are told that the perimeter of the rectangle is at least 48 inches, so we can write:

3l ≥ 48

Solving for l:

l ≥ 16

Using the relationship between the length and width, we can write:

w = 0.5l ≤ 8

So the possible range for the width is:

0 < w ≤ 8

Therefore, the inequality that shows a possible range in the dimensions of the rectangle is:

0 < w ≤ 8, 16 ≤ l

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Answer:

Step-by-step explanation:

perimeter of rectangle=a+b+c

=3x+3x+15

=6x+15

if perimeter of rectangle is 90,

perimeter=a+b+c

90=3x+3x+15

90-15=6x

75/6=x

12.5=x

Answer:

X=12.5

Step-by-step explanation:

3x+3x+15

If it equalls 90 then write it as 6x+15=90

Now isolate X.

6x+15=90

6x=75

x=12.5

CHECK UR WORK

(3*12.5)+(3*12.5)+15=90

37.5+37.5+15=90

75+15=90

90=90

Answer:

1 1/2

Step-by-step explanation:

2 2/3 - 1 1/6 = ?

The LCD here is 6.  Convert 2 2/3 so that the denominator is 6:

2 2/3 = 2 4/6

Then subtract 1 1/6 from 2 4/6:  We get 1 3/6, or 1 1/2

The correct answer would be D. 1 1/4

Answer:

Step-by-step explanation:

\(f^-1\)\(\sqrt[3]{1/-1+x | + | 2x/-1+x}\)

Answer:

A)90/100 x 500

C) C.0.90 x 500

Step-by-step explanation:

You can't with B since 90/10 doesn't account for percentage

Brainliest pls

Answer:

The depth will be 4.1 ft

Step-by-step explanation:

Here, we have a linear model to work with

Between 1:30 pm and 3:30 pm, there was a difference of 3.8-2.6 = 1.2 ft on the depth

What we can see there is that in 2 hours, there was a difference of 1.2 ft

So the filling rate per hour will be 1.2ft/2 hours = 0.6 ft/hr

Now, we want to know the depth of the water at 4:00 pm

The difference between 3:30 and 4 pm is 30 minutes = 0.5 h

so by addition;

3.8 ft + 0.5(0.6)

will give the depth of the water at 4 pm

That will be;

3.8 + 0.3 = 4.1 ft

We used 3.8 ft as it is the depth at 3:30 pm

Then we need to add what is topping this after 30 minutes of filling using the constant filling rate and the time

Here are the major balance sheet classifications and their proper balance sheet classification.Current assets (CA)Long-term investments (LTI)Property, plant, and equipment (PPE) Intangible assets (IA) Stockholders’ equity (SE) Current liabilities (CL) Long-term liabilities (LTL).

Matching of balance sheet items to its proper balance sheet classification: Salaries and wages payable - Current Liabilities (CL) Equipment - Property, plant, and equipment (PPE) Service revenue - Current assets (CA)Depreciation expense - NA Interest payable - Current liabilities (CL) .

Goodwill - Intangible assets (IA)Debt investments (short-term) - Current assets (CA)Retained earnings - Stockholders’ equity (SE)Mortgage payable (due in 3 years) - Long-term liabilities (LTL)Unearned service revenue - Current liabilities (CL)Investment in real estate - Long-term investments (LTI)Accumulated depreciation—equipment - Property, plant, and equipment (PPE)

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The median is greater than the mean. From the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean.

In the given chart we can deduce the following;

These numbers can be listed as follows;

5, 6, 7, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 12

The median of these numbers is calculated as;

\(median = \frac{9+ 10}{2} = 9.5\)

The mean of these numbers is calculated as;

\(mean = \frac{5+6+7+8+9+9+9+10+10+10+10+11+11+12}{14} = 9.07\)

Thus, the median is greater than the mean.

Also, from the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean. But if the distribution is skewed to the right, the mean is always greater than the median.

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If x = 0, then the value of the function f(0) will be negative 15. And if the value of the function f(x) is 27. Then the value of x will be 3.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The table is given below.

If x = 0, then the value of the function f(0) will be

f(0) = -15

And if the value of the function f(x) is 27. Then the value of x will be

x = 3

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Answer:

if x = 0, then f(0) = -15 and if f(x) = 27, then x = 3

Step-by-step explanation:

i look at the table for 0 and 27 and then look at the numbers next to it

Thus, the base length of the bottom prism is found to be 12 cm.

Transparent materials like glass, plastic, and fluorite are used to create prisms. They are employed to reroute light at a specific angle. Through internal reflection, they have the ability to change the direction of light.

Give data:

Volume of structure = volume of cube + volume of prism

V = side³ + 1/2*base*length*height

921 = 9³ + 1/2*base*8*4

921 = 729 + 16*base

16*base = 921 - 729

base = 12

Thus, the base length of the bottom prism is found to be 12 cm.

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The dual model for the given primal model is, Maximize W = 55y₁ + 80y₂ + 57y₃ and Subject to 11y₁ + 21y₂ + 31y₃ ≥ 10 and 12y₁ + 22y₂ + 33y₃ ≥ 9, with the nature restrictions: y₁ ≥ 0, y₂ unrestricted, y₃ unrestricted.

To obtain the corresponding dual model for the given primal model

The primal model is:

Minimize Z = 10x₁ + 9x₂ + 8x₃

Subject to:

11x₁ + 12x₂ = 55

21x₁ + 22x₂ + 23x₃ ≤ 80

31x₁ + 33x₃ ≤ 57

x₁ ≤ 0, x₂ ≥ 0, x₃ is unrestricted

a) The dual objective function is obtained by taking the coefficients of the primal model's constraints as the variables in the dual model's objective function. Thus, the dual objective function is:

Maximize W = 55y₁ + 80y₂ + 57y₃

where y₁, y₂, and y₃ are the dual variables corresponding to the primal constraints.

b) The dual constraints are obtained by taking the coefficients of the primal model's variables as the variables in the dual model's constraints. The primal inequalities become the dual equalities and vice versa. Additionally, the sign restrictions of the primal variables become sign restrictions for the dual variables. Thus, the dual constraints are:

11y₁ + 21y₂ + 31y₃ ≥ 10

12y₁ + 22y₂ + 33y₃ ≥ 9

where y₁, y₂, and y₃ are the dual variables corresponding to the primal variables.

c) Nature restrictions of the dual variables:

Since x₁ ≤ 0 in the primal model, the corresponding dual variable y₁ has the restriction y₁ ≥ 0 (non-negativity).

Since x₂ ≥ 0 in the primal model, the corresponding dual variable y₂ has no specific restriction.

Since x₃ is unrestricted in the primal model, the corresponding dual variable y₃ is also unrestricted.

Therefore, the complete dual model is:

Maximize W = 55y₁ + 80y₂ + 57y₃

Subject to:

11y₁ + 21y₂ + 31y₃ ≥ 10

12y₁ + 22y₂ + 33y₃ ≥ 9

y₁ ≥ 0, y₂ is unrestricted, y₃ is unrestricted

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Answer:

7

Step-by-step explanation:

Hope this helps! Pls give brainliest!

(0, -5)

Hope it helps.

Do comment if you have any query.

Answer:

-3/2 is your answer !!!!

Answer:

\(-1\frac{1}{2}\)

Step-by-step explanation:

Trust me it's right...lol

Answer:

Step-by-step explanation:

Given:

Solution

As per midpoint formula;

Hello! The area of square KLMN is 25 cm²

Make sure to read an explanation for better understanding to the problem.

Any questions about my answer and explanation can be asked through comments.

Step-by-step explanation:

Since the square has same length for both sides. We can proceed side × side formula. Our side is 5 because if we count these small squares or grids, we'd get 5 for both sides.

Therefore 5 × 5 = 5² = 25 cm².

We can also use Calculus to solve the problem by using Integration.

Because both lines are horizontal, they are constant function. That means they are in the form of y = b where b is a constant.

A line that passes through (a,4) where a is all real numbers. The equation is y = 4

A line that passes through (c,-1) where c is all real numbers. The equation is y = -1

Therefore,

\( \large{ \int^{b}_a f(x) dx+ \int^{b}_a g(x)dx} \\ \large{ \int^{2}_{ - 3} (4)dx+ \int^{2}_{ - 3} ( - 1)dx}\)

Because y = -1 is below x-axis. Therefore,

\( \large{ \int^{2}_{ - 3} 4 dx+ \int^{2}_{ - 3} 1dx} \\ \large{ (4x)^{2}_{ - 3} + (x)^{2}_{ - 3} } \\ \large{8 - ( - 12) + 2 - ( - 3)} \\ \large{8 + 12 + 2 + 3 = 25}\)

Answer:

12

Step-by-step explanation:

Step 1:

x + 5 = 2x - 7        Corresponding ∠'s

Step 2:

5 = x - 7        Subtract x on both sides

Step 3:

5 + 7 = x       Add 7 on both sides

Answer:

x = 12

Hope This Helps :)

Answer:

x=12

Step-by-step explanation:

The angles are corresponding angles and if corresponding angles are equal, then the lines are parallel

x+5 = 2x-7

Subtract x from each side

x+5-x = 2x-7-x

5 = x-7

Add 7 to each side

5+7 = x-7+7

12 =x

Answer:

The coordinates of the image triangle will be:

Please also check the attached figure.

The green triangle represents the image triangle.

Step-by-step explanation:

We know that when we reflect a point across the y-axis, the y-coordinate remains the same but the x-coordinate reveres its sign.

Thus,

The rule of reflection of the point P(x, y) across the y-axis is:

P(x, y) → P'(-x, y)

In the attached figure, let the coordinates of the triangle are:

Using the rule of reflection across the y-axis:

P(x, y) → P'(-x, y)

Thus, the coordinates of the image triangle will be:

A(1, 1) → A'(-1, 1)

B(1, 3) → B'(-1, 3)

C(3, 3) → C'(-3, 3)

Therefore, the coordinates of the image triangle will be:

Please also check the attached figure.

The green triangle represents the image triangle.

Answer:

The answer is -2 and 5

Step-by-step explanation:

I did the test!

Have a great day

 o-----o

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