The equation N(t) = 550/1+49e-0.7t models the number of people in a town who have heard a rumor after t days. As t increaseswithout bound, what value does N(t) approach? Interpret your answer. How many people started the rumor? ____________ N(t) approaches ____________. (a) N(t) is limited by the number of days it takes for the entire population to hear the rumor.(b) N(t) is limited by the rate at which the rumor spreads.(c) N(t) is limited by the carrying capacity of the town.(d) N(t) is limited by the number of poeple who started the rumor.(e) N(t) is not limited by any value and increases without bound.

The y-intercept in the context of the problem means that the tablet starts with 80 percent of the battery remaining.

Option D is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates from the graph are:

(0, 80) and (8, 0).

Now,

(0, 80) is the y-intercept.

It means that at 0 hours, the percentage of battery is 80%.

Now,

(8, 0) is the x-intercept.

It means that after 8 hours, the percentage of battery is 0.

Thus,

The y-intercept means,

The tablet starts with 80 percent of the battery remaining.

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The correct option for given trigonometric function is C.

What are trigonometric functions?

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trigonometric functions. The basic trigonometric functions are sine, cosine, tangent, cotangent, secant and cosecant.

The angles of sine, cosine, and tangent are the primary classification of functions of trigonometry. And the three functions which are cotangent, secant and cosecant can be derived from the primary functions.

Now,

For f(x)=2sin^-1()2x

the value of x can be in range {-π/2,π/2}

because sine values are in range {-1,1} for given values of x.

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Right question is provided in image.

If the dot indicates the center of the circle, the equation that must be true is (c) A + B = 180

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

The circle

The angle in a semi-circle is 90 degrees

This means that

A = 90 and B = 90

When these angles are added, we have

A + B = 90 + 90

Evaluate

A + B = 180

Hence, the equation is (c) A + B = 180

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A conclusion which the diagram support include the following: A. UV/VW = ZY/YX.

The value of x is equal to: D. 15.

The value of x is equal to 4.

In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.

Since side TU is parallel to side QR, side TU will divide both sides QS and RS proportionally in accordance with the triangle proportionality theorem as follows;

Since line segment UW is parallel to line segment ZX, side UW will divide both sides ZY and YX proportionally in accordance with the basic proportionality theorem as follows;

UV/VW = ZY/YX

For triangle JKL, we would apply the basic proportionality theorem as follows:

(x - 6)/3 = x/5

5x - 30 = 3x

5x - 3x = 30

2x = 30

x = 30/2

x = 15.

For triangle ABD, we would apply the basic proportionality theorem as follows:

12/x = 27/(x + 5)

12x + 60 = 27x

27x - 12x = 60

15x = 60

x = 60/15

x = 4.

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Answer: 8 ounces

Step-by-step explanation:

the puppy will weigh 8 ounces at three weeks old if the weight gain continues in the same pattern (33 ounces - 5 ounces + 6 ounces).

Since 0.0493 < 0.05, we reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis.

The P-value for a z-score of 1.58 can be found using a standard normal table or a calculator with a cumulative distribution function. The P-value is the area to the right of the z-score, or in this case, 1 - the area to the left of 1.58.

Using a standard normal table or calculator, we find that the P-value is approximately 0.0493.

If the level of significance is 0.05, we compare the P-value to the significance level. If the P-value is less than the significance level, we reject the null hypothesis (H0), and if it's greater than or equal to the significance level, we fail to reject the null hypothesis.

Since 0.0493 < 0.05, we reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis.

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x² − 2x + 1 = 3x − 5, its x value = 3, 2. This can be solved by factorization.

A word may consist of a number, a variable, the product of two or more variables, or the combination of a number and a variable. Both a single term and a collection of terms can be used to create an algebraic expression. Mathematical expressions consist of at least two numbers or variables, at least one math operation, and one or more mathematical terms. Educate yourself about expressive writing. Mathematical expressions with variables, constants, coefficients, and algebraic operations are called algebraic expressions.

x² − 2x + 1 = 3x − 5

or, x² - 2x - 3x + 1 + 5 = 0

or, x² - 5x + 6 = 0

or, x² -3x - 2x + 6 = 0

or, x (x - 3) - 2 (x - 3) = 0

or, (x - 3) (x - 2) = 0

or, x = 3, 2

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The first column of matrix B is -3, -1 and the second column of matrix B is 4, 128.

First Column of B (b1): -3, -1

Second Column of B (b2): 4, 128

A1-3 is the first row of matrix A, so b1 = -3.

A2-4 is the second row of matrix A, so b2 = 4.

AB-1 is the first row of matrix B, so b1 = -1.

A2B-128 is the second row of matrix B, so b2 = 128.

The first column of matrix B (b1) is determined by the first row of matrix A (A1-3) and the first row of matrix B (AB-1). The first value of b1 is -3, which comes from the first row of matrix A, and the second value of b1 is -1, which comes from the first row of matrix B. The second column of matrix B (b2) is determined by the second row of matrix A (A2-4) and the second row of matrix B (A2B-128). The first value of b2 is 4, which comes from the second row of matrix A, and the second value of b2 is 128, which comes from the second row of matrix B. To summarize, the first column of matrix B is -3, -1 and the second column of matrix B is 4, 128.

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The conclusion can be made using the data in option A the negative linear correlation means that as the preparation time increases, the final score decreases in a linear pattern.

The conclusion that can be made from the data in the scatter diagram is that the more time that was used to prepare, the lower the score (answer A). The negative linear correlation means that as the preparation time increases, the final score decreases in a linear pattern. This suggests that there may be a relationship between the amount of preparation time and the final score, but further investigation and statistical analysis is needed to confirm this relationship.

Linear correlation refers to the relationship between two variables that can be represented by a straight line on a scatter plot. The relationship between the two variables can be positive, negative, or neutral. Positive linear correlation means that as one variable increases, the other variable also increases in a linear pattern. Negative linear correlation means that as one variable increases, the other variable decreases in a linear pattern. A neutral linear correlation means that there is no relationship between the two variables.

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The conclusion can be made using the data in option A the negative linear correlation means that as the preparation time increases, the final score decreases in a linear pattern.

The conclusion that can be made from the data in the scatter diagram is that the more time that was used to prepare, the lower the score (answer A). The negative linear correlation means that as the preparation time increases, the final score decreases in a linear pattern. This suggests that there may be a relationship between the amount of preparation time and the final score, but further investigation and statistical analysis is needed to confirm this relationship.

Linear correlation refers to the relationship between two variables that can be represented by a straight line on a scatter plot. The relationship between the two variables can be positive, negative, or neutral. Positive linear correlation means that as one variable increases, the other variable also increases in a linear pattern. Negative linear correlation means that as one variable increases, the other variable decreases in a linear pattern. A neutral linear correlation means that there is no relationship between the two variables.

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The conversion of the weight 171 kg to milligrams is 171000000 milligrams.

The question want us to convert the weight from kilograms to milligrams. The actual weight of the substance is 171 kilograms.

Therefore, the conversion to milligrams can be calculated as follows:

1 kilograms = 1000000 milligrams

171 kilograms = ?

cross multiply

weight in milligrams = 1000000 × 171

weight in milligrams = 171000000 milligrams

Therefore, the weight is 171000000 milligrams.

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Answer: 128

Step-by-step explanation:

Good evening. A straight line forms a 180° angle, so if you split it up, everything is supposed to add up to 180.

[tex]180-52=128[/tex]

Hope this explanation helped.

To solve an initial value problem, you need to find a function that satisfies the given differential equation and initial condition(s).

What is the initial value problem?

In multivariable calculus, an initial value problem (IVP) is an ordinary differential equation together with an initial condition that specifies the value of the unknown function at a given point in the domain. Modeling a system in physics or other sciences frequently amounts to solving an initial value problem.

This can be done using various numerical and analytical methods, such as:

Separation of variables

Euler's method

Runge-Kutta methods

Laplace transforms

Series solutions

Qualitative analysis

The method used depends on the form of the differential equation, the required accuracy, and the computational resources available.

Hence, To solve an initial value problem, you need to find a function that satisfies the given differential equation and initial condition(s).

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Answer:

isn't it 90? it has the box next to it

The coordinates of the center (- 4, - 5) and the measure of the diameter for a circle is 16 units.

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

The equation of circle is,

⇒ (x + 4)² +(y + 5)² = 64

Now, We know that;

The standard form of circle with center (h, k) and radius r is,

⇒ (x - h)² + (y - k)² = r²

Here, The equation of circle is,

⇒ (x + 4)² +(y + 5)² = 64

⇒ (x - (- 4))² + (y -  (-5))² = 8²

So, By comparing, we get;

The center of circle (h, k) = (- 4, - 5)

And, Radius of circle (r) = 8

Thus, The diameter of circle = 2 × 8 = 16

Therefore, The coordinates of the center (- 4, - 5) and the measure of the diameter for a circle is 16 units.

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The width of the fountain will be 3 feet and the fraction of the area of the courtyard will be occupied by the fountain is 3/44

Is the measure of the space occupied by a body bounded by an environment called perimeter, the same is expressed in units of squared side. Example: ft^2, m^2

The formula and procedure to solve this geometry exercise is:

A(rectangle) = length * width

Information about the problem:

A(stone) = 246 ft^2

A(fountain) = ?

Width = ?

Calculating the area of the fountain we get:

Area of fountain = area of the rectangle - 246

Area of fountain = (12 x 22) - 246

Area of fountain = 264 - 246

Area of fountain = 18 ft^2

Calculating the width of the fountain we have:

A(rectangle) = length * width

18 = W x 6

W = 18/6

W = 3 feet

Calculating the fraction of the area of the courtyard will be occupied by the fountain we get:

Fraction = Area of fountain / area of the rectangle

Fraction = 18 ft^2 /264 ft^2

Fraction = 18/264

Simplifying we have:

Fraction = 3/44

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Answer:

x=64 degrees

Step-by-step explanation:

because triangle IHG is isosceles, angle HIG is 58 degrees. the sum of angles in a triangle is 180 degrees, and 180-58-58=64

Answer:

x= 64

Step-by-step explanation:

180-58-58=64

The missing value in the table is 12.

We assume that there is a proportional relation between the two variables, which can be written as:

y = k*x

Where k is a constant.

The first pair is:

x = 2

y =3

Replacing that we get:

3 = k*2

3/2 = k

(you will get the same value of k if you use any one of the pairs on the table).

Now to complete the table we need to evaluate in x = 8.

y = (3/2)*8

y = 3*4

y = 12

That is the missing value.

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The missing value in the table of values is 12.

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

The table of values

From the table of values, we can see that

The relationship between x and y is:

The product of 1.5 and x gives y

Mathematically, this can be represented as

y = 1.5x

When the value of x is 8, we have

y = 1/5 * 8

Evaluate the product

y = 12

Hence, the missing value is 12

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The turtle’s distance from the starting point is increasing for 18 seconds, and the distance between 10 and 12 seconds, the turtle, is -10cm, and the distance between 12 and 14 seconds, the turtle, is 0 cm.

The turtle’s distance from the starting point is 16+(20-16)*1/2=16+2=18sec.

To calculate the distance between 10 and 12 seconds, the turtle is as per the graph shown below we can consider the turtle is in 12:30 cm and 10:30 cm so 30-40=-10cm

To calculate the distance between 12 and 14 seconds, the turtle is as per the graph shown below we can consider the turtle is in 14:30 cm and 12:30 cm so 30-30=0cm

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Answer:The turtle’s distance from the starting point is increasing for

✔ 10

seconds.

Between 10 and 12 seconds, the turtle’s distance is

✔ decreasing

.

Between 12 and 14 seconds, the turtle is

✔ standing still

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

.

For positive acute angles A and B, it is known that sin A= 4/5 and tan B= 45/28 . Find the value of IIT A+B in simplest form. Question. user avatar image ...

the solution of sin(A + B) in simplest form is 27/35.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, We use the trigonometric identity as;

sin(A + B) = sin A cos B + cos A sin B

Hence, we need to find cos A and cos B.

Here, We know that;

⇒ sin A = 4/5,

By use the Pythagorean identity;

sin²A + cos² A = 1

sin² A + cos² A = 1

(4/5)² + cos² A = 1

16/25 + cos² A = 1

cos² A = 9/25

cos A = 3/5

And, we can use the identity;

tan B = sin B / cos B

to find sin B:

tan B = sin B / cos B

45/28 = sin B / √(1 - sin² B)

(45/28)² = sin² B / (1 - sin² B)

sin² B + (45/28)² sin² B = (45/28)²

sin² B (1 + (45/28)²) = (45/28)²

⇒ sin B = 3/7

Now that we have sin A, cos A, sin B, and cos B,

We can put them into the formula for sin(A + B):

sin(A + B) = sin A cos B + cos A sin B

sin(A + B) = (4/5)(45/28) + (3/5)(3/7)

sin(A + B) = 27/35

Therefore, the solution of sin(A + B) in simplest form is 27/35.

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The evolutionary tree is not observed here but it is possible to answer this question by observing which nucleotide is found in the root of the node. It indicates the first substitution.

A phylogenetic evolutionary tree is a diagram used to show the evolution of a given taxonomic group (for example, a group of species).

It is possible to trace the evolution of a given taxon by tracing the nucleotide substitution observed from a common ancestor.

In an evolutionary tree, the root of the node is represented by the common ancestor and therefore the presence of a particular nucleotide (either T or C) in that position can be considered as the ancestral character.

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Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.

The concept used in this statement is quantifiable data, specifically the measurement of time spent talking. This information can be quantified and recorded in a numerical format, allowing for easy comparison and analysis.

The statement "For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes." is appropriate for the method section of a research report because it describes a specific result of the experiment being conducted. This information provides detail about the data collected, allowing readers to understand the methods used to gather information and the specific results obtained. This type of detail is important in the method section of a research report as it enables the reader to assess the validity and reliability of the research findings. By including the precise measurement data, the study is able to increase the transparency of its methods and results, leading to increased credibility for the findings.

The answer is Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.

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Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.

The concept used in this statement is quantifiable data, specifically the measurement of time spent talking. This information can be quantified and recorded in a numerical format, allowing for easy comparison and analysis.

The statement "For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes." is appropriate for the method section of a research report because it describes a specific result of the experiment being conducted. This information provides detail about the data collected, allowing readers to understand the methods used to gather information and the specific results obtained. This type of detail is important in the method section of a research report as it enables the reader to assess the validity and reliability of the research findings. By including precise measurement data, the study is able to increase the transparency of its methods and results, leading to increased credibility for the findings.

The answer is Option b) For men, the average time talking was 10.7 minutes while for women the average was 7.4 minutes.

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Answer:

-16, -13, -12, -9, 10, 20

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

-16, -13, -12, -9, 10, 20

Step-by-step explanation:

The deadweight loss caused by a subsidy is the amount of economic welfare that is lost because of the subsidy. In this example, the deadweight loss caused by the subsidy is $800. Therefore, correct option will be D.$800.

This occurs because the subsidy distorts the market by creating a price below the market equilibrium. This results in an inefficient distribution of resources as some consumers are willing to pay a higher price than the subsidized price.

Additionally, it creates an excess demand for the good, resulting in an over-allocation of resources. In this case, the deadweight loss is the difference between the market price and the subsidized price, which is $800. The deadweight loss is a negative externality of subsidies, as it reduces the overall efficiency of the market.

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The axis of symmetry of the graph of the quadratic function represented by the equation is x=-b/2a

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

The standard formula for a quadratic equation is expressed as

y=ax^2+bx+c

All quadratic functions have an axis of symmetry and they are expressed according to the equation  x=-b/2a

Hence the axis of symmetry of the graph of the quadratic function represented by the equation is  x=-b/2a

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The sample space when 3 coins are tossed is given as follows:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}.

The outcomes in which the first coin is tails is given as follows:

THH, THT, TTH, TTT.

A sample space is a set that contains all possible outcomes in the context of an experiment.

In this problem, we have three trials, each with two possible outcomes, hence the cardinality of the sample space is obtained as follows:

2³ = 8.

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Answer: A

Step-by-step explanation:

there are 4 colours all with 1/4 of the marbles in the bag there colour

so the theoretical probability is 25% but slightly more than a quarter came out so experimental cant be 50 or 25 but 25.7%

Value of x is 7 and value of y is 37 for the equations y=4x+9

y=x+30

Two or more expressions with an Equal sign is called as Equation.

The given equations are y=4x+9 and y=x+30

Let us subtract both the equations

y-y=4x+9-x-30

0=3x-21

Add 21 on both sides

21=3x

Divide both sides by 3

x=7

Now let us plug in value of x in any of the equation to get y.

y=4(7)+9

=28+9

y=37

Hence, value of x is 7 and value of y is 37 for the equations y=4x+9

y=x+30

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The number of different rectangles with an area of 5 sq cm is 2

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

Area = 5 sq cm

The length of each square box is given as

Length = 1 cm

Assume the box cannot be divided

Then the number of rectangles to draw is 2

This is so because the height of the grid is 5 cm and it cannot take more than 5 cm

Also, because the square boxes cannot represent fractions

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Note that the value of a for which 9 is equal to the equation (1/27)ᵃ⁺³ is a = -11/3.

An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol "=".

Note that the given equation is:

9 = (1/27)ᵃ⁺³

In order to find the value of a for which both sides of the equation become equal, we can revise the equation as:

9 = 27⁻¹⁽ᵃ⁺³⁾

that is:

3³ = 3⁻³⁽ᵃ⁺³⁾

Because the bases are equal, we can cancel out to derive:

2  =  -3(a  +  3)

2  =  -3a  -  9

2+9  =  -3a

-3a  =  11

a  =  -11/3

Thus it is correct to state that the value of a for which 9 = (1/27)ᵃ⁺³ is:
a = -11/3.

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Answer:

Specify

Step-by-step explanation:

How many people are in Joe's class. Since it's half, you divide the answer by two.

EX:

If there is 10 people in the class:

10/2 = 5

Which means there are 5 people in the class who brought gifts.

How about another one:

If there are 271 people in the class

272/2 = 136

Which means 136 people in the class brought gifts and there might be a potential landslide of items in Joe's home.