Solve
3(2x + 9) = 24

The percentage  growth rate would the population show in the absence of constraints is 22%

A logistic model is modeled by the function

N = K/1+be^rt

where, the constant k represents carrying capacity,

the constant b is formed by b = k/n(o) - 1

the value of r will be the intrinsic exponential growth rate and t represent time.

⇒ If there is no limiting factors, then the logistic model would be exponential according to formula:

N = N(0)e^rt

Since the corresponding growth factor for this exponential function is a = e^r

so the variable r can be obtained from a using :

r = ln a

a = e^r

given r= 0.2

a = ?

a = e°·²

a = 1.221

a = 1.22

⇒ 1.22 -  1 = 0.22

0.22×100 = 22%

Hence we get the percentage growth as 22%.

Learn more about Percentage growth here:

brainly.com/question/27161222

#SPJ4

The symbolic equation for the location of the center of mass of 3 beads is [tex]x_{cm}[/tex] = m1d1 + m2 (d1 + d2) + m3 ( d1+d2+d3)/ m1 + m2 + m3

Mass of 1st bead = m1 = 22 g

Mass of the 2nd bead = m2 = 12 g

Mass of the 3rd bead = m3 = 51 g

Distance of the 1st bead from left end of the rod = d1 = 1.5 cm

Distance of the 2nd bead from the first bead = d2 = 1.9 cm

Distance of the 3rd bead from the second bead = d3 = 4.5 cm

Location of the center of mass of the three beads relative to the left end of the rod = xcm

We want to find the center of mass relative to the left end of the rod therefore we will need the distances of each bead from the left end of the rod.

Distance of the first bead from the left end of the rod = x1

x1 = d1

Distance of the second bead from the left end of the rod = x2

x2 = d1 + d2

Distance of the third bead from the left end of the rod = x3

x3 = d1 + d2 + d3

[tex]x_{cm}[/tex] = m1 x1 + m2 x2 + m3 x3 / m1 + m2 + m3

[tex]x_{cm}[/tex]= m1(d1) + m2(dı + d2) + m3(d1 + d2 +d3)/ m1 + m2 + m3

[tex]x_{cm}[/tex] = m1d1 + m2 (d1 + d2) + m3 ( d1+d2+d3)/ m1 + m2 + m3

Substituting the values to get a numerical answer,

[tex]x_{cm}[/tex] = (22)(1.5) + (12)(1.5 +1.9) + (51)(1.5 +1.9 +4.5) 22 + 12 + 51

xcm = 5.61 cm

Location of the center of mass of the three beads relative to the center bead = x

Distance of the first bead from the center bead (second bead) = x4

x4 = -d2 (Negative as it is to the left of the second bead)

Distance of the second bead from the center bead (second bead) = x5 = 0 cm

Distance of the third bead from the center bead (second bead) = x6

x6 = d3

x = m1 x4 + m2 x5 + m3 x6/ m1 + m2 + m3

x = m1 ( - d2) + m2 (0) + m3 (d3) / m1 + m2 + m3

x = - m1 d2 + 0 + m3d3 / m1 + m2 + m3

x = m3d3 - m1 d2 / m1 + m2 + m3

Substituting the values to get a numerical answer,

x= (51) (4.5) - (22)(1.9)/22 + 12 + 51

x = 2.21 cm

To learn more about the center of mass

https://brainly.com/question/28996108

#SPJ4

Step-by-step explanation:

a. The temperature in Rome is 11 degrees and in Oslo is 2 degrees. To find the difference, you subtract the two. 11-2=9

The temperature difference is 9 degrees.

b. Kiev is 1 degree. It gets 6 degrees warmer. Add 1+6=7

Kiev is 7 degrees at 6 pm.

The face value of a 10-year term insurance policy on a 24-year-old male will be $75,000 based on the amount paid per $1,000 of face value.

A contract for insurance provides protection from losses resulting from particular calamities or risks on the part of the insurer. It assists in against financial loss for the insured person or their family. The most prevalent types of insurance are life, health, homeowners, and auto.

Face value of the insurance policy

The formula use to calculate face amount is

= 1,000 x (Annual premium paid / Amount paid for $1,000 of coverage for a male 24 year old for a 10 year insurance)

How to solve:

= 1,000 x (359.25 / 4.79)

= 1,000 x 75

= $75,000

To learn more about insurance premiums

https://brainly.com/question/13724529

#SPJ4

Answer: 0

Step-by-step explanation:

Simplifying

6x2[(3x + -4) + (4x + 2)] = 0

Reorder the terms:

6x2[(-4 + 3x) + (4x + 2)] = 0

Remove parenthesis around (-4 + 3x)

6x2[-4 + 3x + (4x + 2)] = 0

Reorder the terms:

6x2[-4 + 3x + (2 + 4x)] = 0

Remove parenthesis around (2 + 4x)

6x2[-4 + 3x + 2 + 4x] = 0

Reorder the terms:

6x2[-4 + 2 + 3x + 4x] = 0

Combine like terms: -4 + 2 = -2

6x2[-2 + 3x + 4x] = 0

Combine like terms: 3x + 4x = 7x

6x2[-2 + 7x] = 0

[-2 * 6x2 + 7x * 6x2] = 0

[-12x2 + 42x3] = 0

Solving

-12x2 + 42x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2'.

6x2(-2 + 7x) = 0

Ignore the factor 6.

Answer: 1/2, or half of something, is 0.5.

Step-by-step explanation: 1/2 means half, as you are halfway to 2 and to a whole number. This means the value of 1/2 is 0.5.

To find the cost of one pie, we need to divide the total cost by the number of pies. In this case, that would be $75.80 / 4 = $<<75.8/4=18.95>>18.95. Therefore, each pie cost $18.95.

the sum of all positive rational numbers that are less than 10 and that have a denominator 30 is 400.

What is Rational Number?

Numbers that may be expressed in the form p/q, where p and q are integers and q0, are considered rational numbers. Because fractions cannot have a negative numerator or denominator, they differ from rational numbers in this respect. Because of this, the numerator and denominator of a fraction are whole numbers (denominator 0), unlike in the case of rational numbers, when they are both integers.

So to convert a fractional to reduce form we have to divide by 10 to power how many digits thereafter decimal point, and make sure that the numerator or denominator doesn't have commonly divisible.

As a small addition, you get 4+12+20+…+76, which is an arithmetic sequence. There are ten terms, so you can use

So the sum will be 10(4+76)/2 = 400

Hence the sum of all positive rational numbers that are less than 10 and that have a denominator 30 is 400.

Learn more about Rational Number , by the following link

https://brainly.com/question/12088221

#SPJ4

The equation that relates the volume of water and the total ingredient volume is the one in option C, it is written as:

t = 4*w

So we know that the volume of water before mixing is 25% of the total ingredient volume.

So if we define the variables:

Then we know that w is equal to the 25% of t.

Then the relation can be written as:

w = (25%/100%)*t

Where we divide the percentage by 100% so we write a decimal number instead of a percentage.

Now we can simply it so we get:

w =  (25%/100%)*t

w = 0.25*t

Now we can isolate t to get:

t = (1/0.25)*w

t = 4*w

So the correct option is C.

Learn more about percentages at:

https://brainly.com/question/843074

#SPJ1

The value of h(f(3)) is 348.

What is simplification?

The method of simplifying something so that it is simpler to carry out or understand, or the product of such a method.

Here, we have

Given functions: f(x) = x³ + 8x, g(x) = √2x, h(x) = 7x-9

First, we will find f(3)

f(x) =  x³ + 8x

By simplification, we put x = 3 and get

f(3) = 27 + 24

f(3) = 51

Now, we find h(f(3)) and we get

h(x) = 7x-9

h(f(3)) = 7(51)-9

h(f(3)) = 357 - 9

h(f(3)) = 348

Hence, the value of h(f(3)) is 348.

To learn more about the simplification from the given link

https://brainly.com/question/432678

#SPJ1

The weight in ounces of paint which left after painting the wall is 114 ounces.

1 ounce is equivalent to 437.5 grains or 28.349 grams Abbreviation: oz. a unit of weight equivalent to one twelfth of a Troy or Pharmacists' pound; 1 ounce is equivalent to 480 grains or 31.103 grams. short for liquid ounce. a little part or sum.

Let x be how much paint in a strip. The aggregate sum of paint is 130+164+188=482. In the wake of painting the wall, the aggregate sum of paint is 482-4x. Since the aggregate sum in each tone is similar in the wake of getting done.

Then equation can be written as,

482 - 4x/3 = 130 -x

482 - 4x = 390 - 3x

x = 92

so, the paint left = 482-4x = 482 - 4(92) = 114.

To know more about ounce visit:

brainly.com/question/29374025

#SPJ4

The interquartile range of the given data set is  2.16.

When a group of values is sorted from smallest to greatest, the median is the number in the middle of the range.

The given set of data,

2.35, 1.56, 1.77, 2.45, 6.92, 4.38, 2.77, 5.23, 2.22, 3.26

To find the interquartile, range of the given data set,

First find median of the set,

Arrange the given date in lowest to highest order,

1.56, 1.77, 2.22, 2.35, 2.45, 2.77, 3.26, 4.38, 5.23, 6.92.

There are 10 terms in the set,

The median will be middle term,

median = (2.45 + 2.77) / 2 = 2.61

The lower half of the set = 1.56, 1.77, 2.22, 2.35, 2.45.

The upper half of the set = 2.77, 3.26, 4.38, 5.23, 6.92.

Here, Q₁ = Middle term of the lower half = 2.22

And Q₂ = Middle term of the upper half = 4.38

The interquartile range = Q₂ - Q₁ = 4.38 - 2.22 = 2.16

The interquartile range of the data set is 2.16

To know more about Median on:

https://brainly.com/question/28060453

#SPJ1

Within the third step of the control process, management by exception is a principle that states that managers should be informed of a situation only if data show a significant deviation from standards.

The third step of the process of controlling is to compare the actual performance of the organization with the established standards. By comparing the actual performance with the standards, an organization can determine the deviation between them.

The final step of the control process is the correction of deviations to improve the performance so that in the future it matches with the plan. Establishing standards and methods for measuring performance. Measuring performance. Determine if performance is up to par. take corrective action. The marginal rate of return reduction is set to reduce the factor's marginal rate of return.

Learn more about  significant deviation here:- brainly.com/question/29378117

#SPJ4

Answer:

Step-by-step explanation:

15

Answer:

[tex]\frac{8b-33}{12}[/tex]

Step-by-step explanation:

Sorry the answer is 8b-33/12

The required simplified value of the function at x = 2 is -23.

An expression, [tex]f(x) = x^4-8x^3+4x^2+6x-3,[/tex] solution of the expression at x = 2 is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,

In order to simplify the given expression association of the terms that have equal value in the exponent.
[tex]f(x) = x^4-8x^3+4x^2+6x-3,[/tex]

Put x = 2
[tex]f(2) = 2^4-8*2^3+42^2+6*2-3,[/tex]
f(2) = -23

Thus, the required simplified value of the function at x = 2 is -23.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1

Answer: A.

Step-by-step explanation:

It can't be C or D because if you plug the y and x in, it will make the equation become not true!

Let's test the point (2,4)

y= x^2 + 2

4 = 6

This is not true, so C and D are wrong!

It can't be B because this graph is a linear function; you can test it using the line test.

So answer is A

The measure of angle U is 74 degrees

From the question, we have the following parameters that can be used in our computation:

△PQR ≅ △STU

. If m ∠P = 62 degrees and m ∠Q = 45 degrees

The above parameters mean that

P  = S Q = T and R = U

So, we have

U = R = 180 - P - Q -- by the angles in a triangle theorem

So, we have

U = 180 - 61 - 45

Evaluate

U = 74

Hence, the value of m ∠U is 74 degrees

Read more about angles at

https://brainly.com/question/7620723

#SPJ1

The value of the expression 37 + 5/9n = -1/2 is -67.5.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

The expression is given as:

37 + 5/9n = -1/2

Collect the like terms

5/9n = -1/2 - 37

5/9n = - 37 1/2

0.5556n = -37.5

Divide

n = -37.5 / 0.5556

n = -67.5

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Complete question

Evaluate the expression for the given value of the variable.

37 + 5/9n = -1/2

Answer:

a.  It increases by 4

b. It stays the same.

Mean is the average of a set of values. It is calculated by adding up all the values in the set and dividing by the number of values in the set.

Median is the middle value of a set of values. It is calculated by arranging all the values from smallest to largest and then finding the middle value in the set. Mean and median are used to measure the center of a set of values. Mean and median are often used to identify trends and patterns in data sets, as they are useful in describing the “average” or “typical” value of a set of data. They are also used in hypothesis testing and various statistical tests.

Formula for mean:

Mean = (Sum of all values) / (Number of values)

Formula for median:

Median = (Middle value of sorted set)

To learn more about mean refer to:

https://brainly.com/question/20118982

#SPJ1

Answer:

3+i

Step-by-step explanation:

|3+i| is just 3+i because it is already positive.

If [tex]$\tan \theta=\frac{a}{b}$[/tex], then [tex]$\frac{a \sin \theta+b \cos \theta}{a \sin \theta-b \cos \theta}$[/tex] is equal to the [tex]\frac{a^2+b^2}{a^2-b^2}[/tex].

What is Hypotenuse?

The longest side of a right-angled triangle, or the side opposite the right angle, is known as the hypotenuse in geometry. The Pythagorean theorem, which asserts that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, may be used to determine the length of the hypotenuse.

Given: [tex]$\tan \theta=\frac{a}{b}$[/tex]

We have to find the value of following expression in terms of a and b

We know that: [tex]$\tan \theta=\frac{\text { Perpendicular }}{\text { Base }}$[/tex]

[tex]$\Rightarrow$[/tex] Base [tex]$=b$[/tex]

[tex]$\Rightarrow$[/tex] Perpendicular[tex]$=a$[/tex]

[tex]$\Rightarrow$[/tex] Hypotenuse [tex]$=\sqrt{(\text { Perpendicular })^{2}+(\text { Base })^{2}}$[/tex]

[tex]$\Rightarrow$[/tex] Hypotenuse[tex]$=\sqrt{a^{2}+b^{2}}$[/tex]

Now we find,

[tex]$\frac{a \sin \theta+b \cos \theta}{a \sin \theta-b \cos \theta}=\frac{a\left(\frac{a}{a^{2}+b^{2}}\right)+b\left(\frac{b}{a^{2}+b^{2}}\right)}{a\left(\frac{a}{a^{2}+b^{2}}\right)-b\left(\frac{b}{a^{2}+b^{2}}\right)}$[/tex]

[tex]$=\frac{\frac{a^{2}+b^{2}}{a^{2}+b^{2}}}{\frac{a^{2}-b^{2}}{a^{2}+b^{2}}}$[/tex]

[tex]$=\frac{a^{2}+b^{2}}{a^{2}-b^{2}}$[/tex]

To learn more about hypotenuse visit:https://brainly.com/question/29407794

#SPJ1

Step-by-step explanation:

i can't read acruse please some one help me I am trying to answer it

From the production set, we can choose 8.803884057 × 10¹⁵² different samples.

Given,

The total microchips in a production run = 60

Number of microchips are defective in 60 = 3

Sample selected to check the defect = 5

We have to find the number of different samples of 5 can be chosen from the production run of 60;

Here,

Combinations formula:

According to the following formula, Cₙ, ₓ is the quantity of distinct combinations of x objects from a group of n members.

Cₙ, ₓ = n! / x! (n - x)!

Number of samples we can choose;

We are choosing 5 microchips from a set of 60.

Then,

C₆₀,₅ = 60! / 5! (60 - 5)! = 8.803884057 × 10¹⁵²

So,

We can choose 8.803884057 × 10¹⁵² different samples from the production set.

Learn more about combinations here;

https://brainly.com/question/16970661

#SPJ4

The expanded form of the given exponential expression -z³ is -(z×z×z).

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given expression is -z³.

Here, -z raised to 3, so multiply -z times itsef

-z³=(-z)×(-z)×(-z)

= -(z×z×z)

Therefore, the expanded form of the given exponential expression -z³ is -(z×z×z).

To learn more about an exponents visit:

https://brainly.com/question/15993626.

#SPJ1

The decreased amount of oranges will be equal to $1.4.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the price of oranges at the farmers' market was 1.75 pounds the price was decreased by 20%.

The decreased price of the oranges will be calculated as,

Decreased price = 1.75 x (1 - 0.2)

Decreased price = 1.75 x 0.8

Decreased price = $1.4

The reduced number of oranges will equal $1.4.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ1

479,001,600 necklaces can be made using 13 different beads.

We will be using 13 different beads in our necklace, and the arrangement of the beads is what distinguishes one necklace from another.

Additionally, the mirrored necklaces are different because we are unable to turn the necklaces around (the positions of the beads are mirrored)

We have 13 alternatives for the first bead, 12 options for the second, and so on.

if the product of the options for each choice results in a total number of combinations equal to 1, then we have:

Combinations of the form C=13*12*11*10*9*8*7*6*5*4*3*2*1

C = 6,227,020,800.

Now that the necklace may be rotated, a combination is possible.

A B C D E F G H I J K L M (Each letter corresponds to a certain bead)

is identical to other orders as

A through Z: m A B C D E F G H I J K L

With 13 rotations for each combination, the actual number of combinations is:

C/13 = 6,227,020,800/13 = 479,001,600

To learn more about different necklaces

https://brainly.com/question/15877821

#SPJ4

By solving a linear equation, it can be calculated that

The integers are 5 and 6

What is linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here, a linear equation needs to be solved

Let the integers be x, x + 1

Three times the greater integer is 7 less than than 5 times the lesser integer

By the problem,

The linear equation is

3(x + 1) = 5x - 7

3x + 3 - 5x = -7

-2x = -7 - 3

-2x = -10

x = [tex]\frac{-10}{-2}[/tex]

x = 5

The other integer is 5 + 1 = 6

To learn more about linear equation, refer to the link-

https://brainly.com/question/2030026

#SPJ1