Which of the following descriptions best defines the term logistic growth?
A. A type of growth that is exponential at first but slows as the
amount reaches a certain maximum value
B. A type of growth that is linear at first but slows as the amount
reaches a certain maximum value
C. A type of growth that is linear at first but slows as the amount
reaches a certain minimum value
D. A type of growth that is exponential at first but slows as the
amount reaches a certain minimum value
Fr

The number of multiple-choice and short-answer questions on a test with 65 questions will be 40 and 25 respectively.

To determine the number of multiple-choice and short-answer questions on a test with 65 questions, we can set up a proportion based on the given ratio:

Multiple-choice questions : Short-answer questions = 8 : 5

Let x be the number of multiple-choice questions.

Let y be the number of short-answer questions.

Using the proportion, we can set up the following equation:

8/5 = x/y

8y = 5x

x = (8y)/5

Since the total number of questions on the test is 65, we have the equation:

x + y = 65

Substituting the expression for x from the previous equation:

(8y)/5 + y = 65

(8y + 5y)/5 = 65

13y/5 = 65

13y = 65 * 5

13y = 325

Dividing both sides by 13:

y = 325/13

y = 25

Substituting this value of y back into the equation x = (8y)/5:

x = (8 x 25)/5

x = 40

Therefore, there are 40 multiple-choice questions and 25 short-answer questions on the test with a total of 65 questions.

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The power expression 1 / 5⁸ is the simplified form by algebra properties of (5⁻⁴)².

In this problem we find a power expression that must simplified by means of algebra properties. First, write the entire expression introduced in the statement:

(5⁻⁴)²

Second, use the property for the power of a power:

5⁻⁸

Third, use the property for the power of a power once again:

(5⁸)⁻¹

Fourth, apply the definition of a division:

1 / 5⁸

The simplified form of (5⁻⁴)² is equal to 1 / 5⁸.

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Answers:

==========================================

Explanation:

The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).

We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:

Radius of the circular feild = 27.5

circumference of the circular feild = 2 × 27.5 feet × 3.14

circumference of the circular feild = 55 feet × 3.14

circumference of the circular feild = 172.7 feet.

Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.

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In the first question, we are given the transformed function

f(x) = - | x | + 1

and we are asked what was the first transformation and the second one of the original expresion f(x) = | x |

The first transformation is the multiplication by -1 of the x-variable, which involves a reflection around the x-axis. and the second transformation is a vertical shiftup in one (1) unit.

Transf 1 : reflection around x-axis

Transf 2: vertical shift in one unit

Second problem.

We are given the transformed function

f(x) = 7 |x - 3| - 4

so the first transformation is the subtraction of "3" from the "x" variable, which involves a horizontal shift to the right in 3 units

the second transformation is the product by 7 outside the absolute value symbol. This accounts for a vertical stretching by a factor of "7".

The last transformation is the subtraction of 4 ate the end. This accounts for a vertical shift of 4 units down.

Transf 1: horizontal shift 3 units to the right

Transf 2: vertical stretching by a factor of 7

Transf 3: vertical shift of 4 units down.

Answer:

1. 4/5+2/3=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(4/5, 2/3) = 15

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(45×33)+(23×55)=?

Complete the multiplication and the equation becomes

12/15+10/15=?

The two fractions now have like denominators so you can add the numerators.

Then: 12+10/15=22/15

This fraction cannot be reduced. The fraction

22/15 is the same as 22÷15

Convert to a mixed number using long division for 22 ÷ 15 = 1R7, so

22/15=17/15

Therefore: 4/5+2/3=17/15

Solution by Formulas Apply the fractions formula for addition, to 4/5+2/3 and solve

(4×3)+(2×5)/5×3

=12+10/15

=22/15 Convert to a mixed number using long division for 22 ÷ 15 = 1R7, so 22/15=17/15 Therefore:4/5+2/3=1  7/15

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

1.

2.

3.

4.

Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .

Given ,

f(x) = \(4[(1/2)^{x}]\)

Mathematically the graph will of exponential in nature.

So,

Let us assume few values to understand the nature of graph.

Firstly,

Let x= 1

f(x) = \(4[(1/2)^{1}]\)

f(x) = 2

Let x = 2

f(x) = \(4[(1/2)^{2}]\)

f(x) = 1

Let x = 3

f(x) = \(4[(1/2)^{3}]\)

f(x) = 0.5

Thus from these values of f(x) corresponding to the values of x second graph will be correct .

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Answer: The consecutive numbers 26 & 27

Step-by-step explanation:

x+x+1=53

2x+1=53

2x=52

x=26

x+1=27  

Step-by-step explanation:

48 hope this helps you out

Answer:

452.4 feet3

452.4 feet

3

Answer:

3,1

Step-by-step explanation:

gence 3.0999 ,1 so 78.5,,4

The total points scored in the game is 44.

We have,

Let's assume that the total number of points scored in the game is 'x'.

As per the problem,

75% of the points were scored by 2 players, which means 25% of the points were scored by the remaining players.

So,

The points scored by the remaining players.

= 25% of x

= 25/100 of x

= 0.25x

Now, it is given that the 2 players scored 33 points.

So, the points scored by the remaining players will be:

x - 33

Also, it is given that the points scored by the remaining players are 25% of x.

So,

0.25x = x - 33

Solving this equation, we get:

0.75x = 33

x = 44

Therefore,

The total points scored in the game is 44.

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Carl is outworked by Theresa in a given year.

What is work?

According to physics a push or pull in any substance which produces any displacement is called work. Activity in which one exerts strength or perform something or an activity that a person engages in regularly to earn a livelihood people looking for work.

Given:

Working day of Theresa/month=16

Working day of Carl/ month=20

Distance covered by Theresa in month= 56 miles round trip

Distance covered by Carl in month=56 miles round trip

Calculation

Distance covered by Theresa in month=56*2

Distance traveled by Theresa in a year=112*12

Distance traveled by Theresa in a year=1344 miles

Distance covered by Carl in month=112 miles

Distance traveled by carl in a year=112*11

Distance traveled by carl in a year=1232 miles

As the distance covered by Theresa is more than carl.

So Theresa travel more distance.

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Answer:

Step-by-step explanation:

No explanation is needed because there is no question.

Answer:

you got it

Step-by-step explanation:

no explanation needed

The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

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Using proportions, the compound inequality describes the range of incomes x for which the tax was between $450 and $600 is:

A. 3000≤x≤6000.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

3% of 10000 is given by:

300

The tax was of $450 when:

450 = 300 + 0.05x.

0.05x = 150

x = 150/0.05

x = 3000.

The tax was of $600 when:

600 = 300 + 0.05x.

0.05x = 300

x = 300/0.05

x = 6000.

Hence the compound inequality is:

A. 3000≤x≤6000.

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Answer:

The compound inequality that could be used to find the possible values for the number is 3x - 7 ≥ -4 < 5

Step-by-step explanation:

Let the number be x

Now, we will interpret the question

From the question,

That is, 7 deducted from the product of 3 and the number.

Product of 3 and the number is 3x; and 7 deducted from it will be

3x - 7

greater than or equal to -4 is represented by  

≥ -4

Hence, putting the statements together, we will get

3x - 7 ≥ -4

less than 5 can be represented by

< 5

Hence, putting all the statements together, we will get

3x - 7 ≥ -4 < 5

This is the compound inequality that could be used to find the possible values for the number.

We have the following:

Now, to know the percentage we use the term that is elevated to time (t), that is,

If 1 represents 100% then the percentage that increases would be

Therefore, the percentage is 12.5%

The solution of the equations y = (1/2) x - 3 and y = - 1x + 3 will be (4, -1). And the graph of the equations is given below.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The system of linear equations is given below.

y = (1/2) x - 3          ....1

y = - 1x + 3           ....2

From equations 1 and 2, then we have

(1/2)x - 3 = - x + 3

(3/2)x = 6

x = 4

Then the value of 'x' is given as,

y = - 4 + 3

y = - 1

The solution of the equations y = (1/2) x - 3 and y = - 1x + 3 will be (4, -1). And the graph of the equations is given below.

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Answer: f'(11)=1/6

Step-by-step explanation:

f(x)=sqrt(x-2)

f(x)=(x-2)^1/2

f'(x)=1/2 * (x-2)^(1/2-1)

f'(x)=1/2 * (x-2)^(-1/2)

f'(11)=1/2 * (11-2)^(-1/2)

f'(11)=1/2 * (9)^(-1/2)

f'(11)=1/2 * (9)^(1/2 * (-1))

f'(11)=1/2 * (9^1/2)^(-1)

f'(11)=1/2 * (3)^(-1)

f'(11)=1/2 * 1/3

f'(11)=1*1/(2*3)

f'(11)=1/6

Using the definition of the derivative, we have

\(\displaystyle f'(11) = \lim_{x\to11} \frac{\sqrt{x-2} - \sqrt{11-2}}{x - 11} = \lim_{x\to11} \frac{\sqrt{x-2} - 3}{x - 11}\)

Rationalize the numerator.

\(\displaystyle \frac{\sqrt{x-2}-3}{x-11} \cdot \frac{\sqrt{x-2}+3}{\sqrt{x-2}+3} = \frac{\left(\sqrt{x-2}\right)^2 - 3^2}{(x-11)\left(\sqrt{x-2}+3\right)} = \frac{x - 11}{(x - 11) \left(\sqrt{x-2} + 3\right)}\)

If \(x\neq11\), we can simplify the limit to

\(\displaystyle f'(11) = \lim_{x\to11} \frac{x-11}{(x-11)\left(\sqrt{x-2}+3\right)} = \lim_{x\to11} \frac1{\sqrt{x-2} + 3}\)

The function in the remaining limit is continuous at \(x=11\), so we end up with

\(\displaystyle f'(11) = \frac1{\sqrt{11-2} + 3} = \boxed{\frac16}\)

Answer:

0.328 \(m^{2}\)

Step-by-step explanation:

820mm = 82cm = 0.82m

400mm = 40cm = 0.40m

0.82 x 0.40 = 0.328

If a rectangular tray is 820mm long and 400mm wide. Its area in m²​ will be: 0.328m²

Using this formula

Area=Length × Width

First step is to covert from millimeter to meter

1 millimeter=0.1 centimeter

Hence:

Length=820mm×0.1÷100

Length=0.82m

Width=400mm×0.1÷100

Width= 0.40m

Let plug in the formula

Area=0.82m x 0.40m

Area= 0.328m²​

Inconclusion If a rectangular tray is 820mm long and 400mm wide. Its area in m²​ will be: 0.328m².

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With the partial product method the multiplication answer is 4725.

According to the statement

We have to find that the by which strategy for multiplying 75 and 63 should result In the correct product.

So, For this purpose, we know that the

The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place.

From the given information:

We have to multiply the numbers 75 and the 63.

Then

According to the above written strategy,

75 = 70+5 and

63 = 60+3

Then

75*63 = (70*60) + (70*3) + (5*60) + (5*3)

then solve it

75*63 = (4200) + (210) + (300) + (15)

75*63 =  4410 +  315

75*63 =  4725.

So, With the partial product method the multiplication answer is 4725.

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Answer:

6

Step-by-step explanation:

Since she gave herself 3 pieces of gum, she gave 12 pieces to her friends. She gave 2 pieces to each friends. 12 pieces of gum divided by the 2 pieces given to each friend is 6

Answer:

B

Step-by-step explanation:

So, a function is increasing when the y-values increase with the x-values. Ok?

So, A is constant, because while the x-values are increasing, the y-values aren't changing at all.

B is increasing because both the x and y values are increasing.

C is once again constant, for the same reason as A.

D is decreasing because as x-values increase, y-value decrease.

Answer:

I agree that’s your answer

Step-by-step explanation:

The amount going to her savings accounts is $192

The given parameters are:

Drawings = 24

Rate = $12

The total amount earned from selling the drawings is:

Total = 24 * $12

Evaluate

Total = $288

She buys books with 1/3.

This means that she saved 2/3

So, we have:

Savings = 2/3 * $288

Evaluate

Savings = $192

Hence, the amount going to her savings accounts is $192

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Answer:

0.9987

Step-by-step explanation:

Using Z score formula

z = (x-μ)/σ, where

x is the raw score = 52 inches

μ is the population mean = 94 inches

σ is the population standard deviation = 14 inches

z = 52 - 94/14

z =-3

Probability value from Z-Table:

P(x<52) = 0.0013499

P(x>52) = 1 - P(x<52)

P(x>52) = 1 - 0.0013499

= 0.99865

Therefore, the probability that, in a randomly selected year, the snowfall was greater than 52 inches is approximately 0.9987

Answer:

Step-by-step explanation:

99.87 for Knewton Alta

Hello!

4 times the sum of x and y

4 * (x + y)

it's a mutliplication

the sum of 4x and y

= 4x + y

it's a sum

Answer:one is multiplying other is some.

Step-by-step explanation:

4xy and =4xy

these two are

Step-by-step explanation:

i think c is your answer

The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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