Identify the initial amount a and the rate of decay r (as a percent) of the exponential function f(t)=475(0.5)t. Evaluate the function when t=3. Round your answer to the nearest tenth.

The function f(x) has a value of 1929 for f(-43)

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

f(x) = x^2 - 2x - 6

An invertible function involves a function that have an inverse function or relation

The value of x in f(-43) is

x = -43

Substitute the known values in the above equation, so, we have the following representation

When the function f(-43) is calculated, we have

f(-43) = (-43)^2 - 2(-43) - 6

Evaluate the function

f(-43) = 1929

Hence, the value is 1929

Read more about function at

https://brainly.com/question/10687170

#SPJ1

Complete question

The function f(x) is invertible. Find the value of

f(−43). if f(x) = x^2 - 2x - 6

Answer:

no

Step-by-step explanation:

5:2 =35:14

7:3 = 35 :15

Answer: no

Step-by-step explanation:

They are both in the smallest form that they can me at.

Answer: Tasha

Step-by-step explanation:

9/10 = .900 avg

12/15 = .800 avg

If you standardize the ratios to 30, then:

27/30 = .900 avg

24/30 = .800 avg

Answer:

$2.81

Step-by-step explanation:

There are 127 subsets of {1,2,3,4,5,6,7} that do not contain two consecutive integers, including the empty set.

Each number in the set {1,2,3,4,5,6,7} can either be included or not included in a subset.

So, the number of subsets of this set is:

However, we need to exclude the subsets that contain two consecutive numbers, such as {2,3} or {5,6}. This can be achieved by considering each number as the starting point of a subset and appending it with a number of non-consecutive numbers that can follow.

For example, if 1 is the starting point, the next numbers can only be 3, 4, 5, 6, or 7. Hence, the number of subsets starting from 1 is 5.

By repeating this process for each number in the set, we obtain a total of 5555551 = 127 subsets.

Learn more about subsets here: brainly.com/question/13265691

#SPJ4

The slower boat traveled at 15mph, and the faster boat traveled at 35mph.

Represent the speed of the slower boat with x.

So, the speed of the faster boat would be x + 20mph.

The time they took to meet is 8 hours, so the total distance they covered during that time is represented as

Distance = x * 8 + (x + 20) * 8

So, we have

Distance = 16x + 160

The distance between the two boats was 400 miles at midnight

So, we have the following distance equation

400 = 16x + 160

Evaluate the like terms

16x = 240

Divide by 16

x = 15

Recall that

Faster boat = x + 20mph.

So, we have

Faster boat = 15 + 20

Faster boat = 35

Hence, the slower boat was traveling at 15mph

Read more about speed at

https://brainly.com/question/10724374

#SPJ1

Answer: 100 minutes

Step-by-step explanation:

The measure of the angle m∠DBA is equal to 50°

From the question, we observe that the larger angle m∠CBA consists of the two angles m∠DBC and m∠DBA, so we shall sum the two small angles and equate the result to the larger angle to solve for the value of x as follows:

36° + 3x + 20 = 8x + 6

8x - 3x = 36 + 20 - 6 {collect like terms}

5x = 50

x = 50/5 {divide through by 5}

x = 10

so we can evaluate for the angle m∠DBA as follows:

m∠DBA = 3(10) + 20

m∠DBA = 30 + 20

m∠DBA = 50°

In conclusion, the measure of the angle m∠DBA is equal to 50°.

Know more about angles here:https://brainly.com/question/1475130

#SPJ1

The solution of the equation  2x + 1 = 9 is 4.

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

The given equation is 2x + 1 = 9

Two times of x plus one equal to nine

To solve this we have to isolate the x term.

Subtract 1 from both sides

2x=8

Divide both sides by 2

x=4

Hence, the solution of the equation  2x + 1 = 9 is 4.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

The population of the bacteria colony in 52 minutes is 16,000.

The bacteria colony grows at an exponential rate. An exponential equation can be described as an equation with exponents. The exponent is usually a variable.

The general form of exponential equation is f(x) = [tex]e^{x}[/tex]

Where:

The equation that can be used to determine the population in 52 minutes is:

FV = P(2^(t/13)

Where:

FV = 1,000(2^52/13)

= 1,000 x (2^4)

= 16,000

To learn more about exponential functions, please check: https://brainly.com/question/26331578

#SPJ1

Estimators like the hatBS.gif have a sampling distribution because of the following reasons, according to the given sources:

Individuals respond differently to incentives, leading to the difference in values of Y across random samples.

In real life, we typically get to sample many times, leading to the difference in values of Y across samples .

Economics not being a precise science is not mentioned as a reason for the sampling distribution of estimators like hatBS.gif.Estimators are statistical methods used to calculate the values of population parameters based on a sample of data. They are a key tool for making inferences about a population from a sample. An estimator is a function that takes the sample data as input and produces an estimate of the population parameter.

There are two types of estimators: point estimators and interval estimators. Point estimators provide a single estimate of the population parameter, while interval estimators provide a range of values that are likely to contain the population parameter.

The quality of an estimator is measured by its accuracy and precision. An accurate estimator is one that produces estimates that are close to the true population parameter, while a precise estimator is one that produces estimates that are consistently close to each other. There are various methods for selecting the best estimator for a given situation, including mean squared error, bias, and confidence intervals.

Find out more about Estimators

brainly.com/question/29973764

#SPJ4

The system of inequalities on the graph is:

y ≤ 2

y > 2x - 4

Here we have the graph of a system of inequalites.

First, we can see a solid horizontal line, such that the shaded region is below that line, then one of the two inequalities will be:

y ≤ 2

And then we have a dashed line with a slope of 2 and an y-intercept of -4, this time the region above the line is shaded.

y > 2x - 4

Then the system of inequalities on the graph is:

y ≤ 2

y > 2x - 4

I can notice that this system does not appear on the options, so there may be a mistake in the options.

Learn more about systems of inequalities:

https://brainly.com/question/9774970

#SPJ1

The true statement about b is b = p + q, and about c is c = p*q.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of the second degree.

Given a quadratic function, x² + bx + c

and factors of equation is (x + p)(x + q)

for any quadratic equation, the product of factors is equal to the product of a and c,

here a = 1 and c = c

c = p*q,

and the sum of factors is equal to b,

b = p + q.

Hence options A and C are correct.

Learn more about quadratic function;

https://brainly.com/question/27958964

#SPJ1

(a) In this case, the men and women alternate, so we can treat them as two separate groups. There are n! ways to seat the n men in the first n seats and n! ways to seat the n women in the next n seats.

So, there are a total of (n!) ^2 ways to seat the n married couples.

(b) In this case, every woman must be next to her husband. We can treat each married couple as a single entity and seat them in (n!) ways.

So, there are n! ways to seat the n married couples around the table in this case.

To know more about Permutation:

https://brainly.com/question/1216161

#SPJ4

Solving a linear equation we will see that the measures of the angles are:

∠1 = = 6°

∠2  = 84°

We can see that we have a right angle (this is a 90° angle) and it is divided in the angles ∠1 and ∠2.

Then we can write:

∠1 + ∠2 = 90°

And we know that:

∠1 = x - 8

∠2 =  6x

Then we can write the linear equation:

x - 8 + 6x = 90

We can solve that for x toget:

x - 8 + 6x = 90

7x = 90 + 8

x = 98/7 = 14

Then the measures of the angles are:

∠1 = x - 8 = 14 - 8 = 6°

∠2 =  6x = 6*14 = 84°

Learn more about right angles at:

https://brainly.com/question/64787

#SPJ1

Answer: 7:4

Step-by-step explanation:

To simplify the ratio 14:8, we find the greatest common divisor of 14 and 8, and then we divide 14 and 8 by the greatest common divisor.

The greatest common divisor that you can use to simplify 14:8 is 2. This means the answer to the ratio 14:8 simplified is:

7:4

The solution of the system of linear equation is x = 5 and y = 3.

A system of equations in algebra consists of two or more equations and looks for common answers to the equations. "A set of equations satisfied by the same set of variables is called a system of linear equations."

The given system of linear equations is:

3x-2y=9......(1)

y=2x-7........(2)

Substituting the value of y in equation 1 we have:

3x-2y=9

3x - 2(2x - 7) = 9

3x- 4x + 14 = 9

-x = -5

x = 5

Substitute the value of x in equation 2:

y = 2(5) - 7

y = 10 - 7

y = 3

Hence, the solution of the system of linear equation is x = 5 and y = 3.

Learn more about equation here:

https://brainly.com/question/29657992

#SPJ1

Answer:

figure 2

Step-by-step explanation:

A rhombus is a flat shape with four equal straight sides. All sides have equal length and it looks like a diamond. It is a special type of a parallelogram whose opposite sides are equal.

Answer: figure 2 only but if the third image is a square thenits 2 and 3 cause I can't see the third very well

Step-by-step explanation:

The image of a point (-6, 3) after a translation right 5 units and down 3 units is

The transformation rule for translation right 5 units and down 3 units is

(x, y) → (x + 5, y - 3)

Applying the rule to the point (-6, 3)

(-6, 3) → (-6 + 5, 3 - 3) → (-1,, 0)

hence the translation results to create an image of (-1, 0)

Learn more translation at:

https://brainly.com/question/12861087

#SPJ1

The probability of two friends meeting at the station 0.28.

To calculate the probability of the two friends meeting at the station, we need to find the overlap in their arrival times, which is between 7:00 and 7:05 in the morning. This overlap represents the time window where they both arrive at the station and can meet. Given that they both arrive between 7:00 and 7:20 in the morning with a uniform distribution, the probability of one of them arriving in the overlap time window is 5/20.

Thus, the probability of both friends arriving in this time window and meeting at the station is the product of these probabilities, which is (5/20) * (5/20) = 0.28.

Learn more on Probability:

https://brainly.com/question/25870256

#SPJ4

Answer:

y = 7x + 60

Step-by-step explanation:

Ron gets paid 7 dollars an hour, this is our constant, since we don't know how many hours he works per day, it can be represented as "x":

7x

He starts his job receiving 60 dollars for his first day:

7x + 60

Of course this needs the outcome "y":

[y = 7x + 60]

Answer:The first two

Step-by-step explanation: To solve the problem you would

5(x+3)=25

x+3=5

-3     -3

x=2

Answer:

2x − 1 = 1 + 2x

Step-by-step explanation:

A.

1 + 2x = 1

2x = =0

x = 0

1 solution, x = 0.

B.

1 + 2x = 2x + 1

1 = 1

Infinite number of solutions, all real numbers.

C.

2x − 1 = 1 + 2x

0 = 2

No solution

D.

2x − 1 = −1 + 2x

-1 = -1

Infinite number of solutions, all real numbers.

The troop leader can use the two variables of preference (hiking or swimming) as the row and column headings of the table.

In mathematics, independent and dependent variables are values that vary in relation to one another. The dependent variable is dependent on the independent variable, which means that if the value of the independent variable changes, so will the dependent variable.

The troop leader can utilize the two variable categories (hiking or swimming) as the table's row and column headings.

The number of members who prefer each activity can be recorded in the cells of the table to show the distribution of preferences within each troop and the comparison between the two troops.

Learn about the linear relationship here :

https://brainly.com/question/11663530

#SPJ1

The Pythagorean formula, c=√a²+b², can be used to get the required hypotenuse.

The hypotenuse is the longest side of a right-angled triangle or the side that faces away from the right angle.

The length of the hypotenuse can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse's length equals the sum of the squares of the lengths of the other two sides.

If one of the other sides in this situation is 3 (when squared, this equals 9) and the other is 4, this equals 16, and the sum of their squares is 25.

The length of the hypotenuse is equal to the square root of 25, or 5.

The hypotenuse can be found using the Pythagorean formula, which is c=√a²+b².

Therefore, the Pythagorean formula, c=√a²+b², can be used to get the hypotenuse.

Know more about the hypotenuse here:

brainly.com/question/2217700

#SPJ4

Step-by-step explanation:

Given

Opp=8

Adj=6

Hyp=10

Answer

1)Sin<A=Opp/Hyp

8/10=4/5... Yes

2)Cos<A=Opp/Adj

8/6=4/3... No

Given

Opp=6

Adj= 8

Hyp= 10

Answer

1)Sin<B= Opp/Hyp

6/10=3/5... No

2)Cos<B= Opp/Adj

6/8=3/4... No

The length of the path is determined by Pythagoras theorem and the length is equal to 14.14 feet.

The flower garden is in the shape of a square with a side length of 10 feet.

We have to find the length of the path at which Chi is paving the stones.

Since the length of the path is in the shape of the diagonal of the square.

Let, the length of the path be "L" feet.

By Pythagoras theorem,

[tex]10^{2} + 10^{2} =L^{2} \\100+100=L^{2} \\L^{2} = 200\\L=\sqrt{200} \\L=\sqrt[10]{2} = 14.142= 14.14 feet.[/tex]

Hence, the length (L) of the path is equal to 14.14 feet.

Go through the given link below to know more about Pythagoras theorem:-

https://brainly.com/question/343682

#SPJ4

Complete question:- ChiChi is planning to put a path of paving stones throughthrough her flower garden and the path is situated as a diagonal of her garden as the garden is a square with a side length of 10 feet. What will be the length of the path? Round your answer to 2 decimal places.

Answer:

point form (1,3) equation form: x=1, y=3

Step-by-step explanation:

yw!! :)

Answer: x = 1

Step-by-step explanation: we know what y equals so all we have to do is plug that in into the other equation! if confused, look at attached image.

The trigonometric expression that has a value of three-fourths is; tan (x)

The basic trigonometric ratios are;

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

sec x = 1/cos x

csc x = 1/sin x

cot x = 1/tan x

Thus;

If csc x = 5/3, it means that;

sin x = 3/5

By trigonometric ratios, we know that;

cos x = 4/5 and tan x = 3/4

Read more about Trigonometric ratios at; https://brainly.com/question/13276558

#SPJ1