At the farmers market you can buy 6 bags of pears for 29.76. How much is each bag of pears? PLEEEEEEEESSSEEEE HELP

The exponential function f (x) = 2500 (0. 4)ˣ models the amount of money in Zachary's savings account over the last 10 year's. Zachary's amount balance is decreasing.

Exponential Function:

An exponential function is a mathematical function represented by f(x) = exp(x) or eˣ (where the argument x is written as an exponent). Unless otherwise specified, the term generally refers to positive-valued functions of real variables, although it can be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras. The exponential function originated from the idea of ​​exponentiation (repeated multiplication), but the modern definition (with several equivalent representations) allows it to be extended strictly to all real arguments, including irrational numbers.

According to the Question:

For an Exponential Function in the form y = a. bˣ

Because b=0.4, then,  Zachary's amount balance is decreasing.

Now,

Because the function is decreasing then it is exponential decay function and b is the decay factor.

And, In the exponential decay function

A(t) = a(1 -r)ᵇ , the decay factor is given by (1 - r) so:

     b = 1 -r

⇒  0.4 = 1 - 0.6

Where, r i the rate of decay.

Hence, the base term of the rate of decay is:

f (x) = 2500 (1 - 0.6)ˣ.

Learn more about Exponential Function:

https://brainly.com/question/11487261

#SPJ4

If the region R bounded by the functions f(x) = 2 and g(x) = x + 1 is rotated around the x axis , then the volume of the resulting solid is (7/3)π cubic units .

The region R is bounded by the functions f(x) = 2 and g(x) = x + 1 , and is between x = 1 and x = 2 .

Region-R between the lines x = 1 and x = 2 is rotated ,  

So , The volume of the solid can be calculated as :

⇒ Volume = π × \(\int\limits^2_1\) (2)² - (x+1)²dx  ;

⇒ Volume = π × \(\int\limits^2_1\) 4 - (x+1)²dx  ;

⇒ Volume = [4x - (x+1)³/3]²₁ × π ,

⇒ Volume = π × [(4×2 - (2+1)³/3) - ((4×1) - (1+1)³/3)]

= [(8 - 27/3) - (4 - 8/3)]π

= [(8 - 9) - (4/3)]π

= [ -1 - 4/3]π  = -7/3π  ,

On taking the modulus of the volume ,

we get , that the Volume is 7/3π cubic units .

Therefore , the volume of the resulting solid is (7/3)π cubic units .

Learn more about Volume here

https://brainly.com/question/14403520

#SPJ4

The given question is incomplete , the complete question is

Define R as the region bounded by the functions f(x) = 2 and g(x) = x + 1 between x=1 and x=2. if R is rotated around the x-axis, what is the volume of the resulting solid?

Answer:

f(4) is 6,520 greater than g(4)

Step-by-step explanation:

Answer: 26ft

Step-by-step explanation:

Answer:

horizontal line

Step-by-step explanation:

The y- coordinates of both points are 5

This indicates the line is horizontal and parallel to the x- axis with equation

y = 5

Answer:

Step-by-step explanation:

The set up will form a right angled triangle. The distance that Laura let out her kite string will be the hypotenuse of the triangle, the angle that the kite makes with the ground will be the angle of elevation, facing the height of the kite.

The height of the kite H, will be the opposite side of the triangle since it is facing the angle directly.  based on the trig identity SOH;

sintheta = opposite/hyp

sin68° = H/60

H = 60sin68°

H = 55.6m

The height of the kite is 55.6m

Answer:

13,600 feet above sea level

Step-by-step explanation:

The climber was at 14,090 feet above sea level, and then they went 490 feet closer to sea level to meet the other climber. Since they’re moving closer to sea level and you want to know how far *above* sea level they are, subtract 490 from 14,090. 14,090-490=13,600 feet above sea level

Answer:

A. 7,6,14

Step-by-step explanation:

Rules for side lengths of triangle.

1. Any side should be less then the sum of the other two angles.

2. The same side should be greater than the subtraction of the other side lengths(bigger side - smaller side)

A.

7 < 6+14 .  Correct

7> 14-6 .     Incorrect

This cannot be a solution (impossible)

B.

4<4+4 .  Correct

4>4-4 .  correct

This is a solution (equilateral triangle)

C.

6<6+2 .  Correct

6>6-2 .  Correct

This is a solution (isosceles triangle)

D.

7<8+13 . Correct

7>13-8 . Correct

This is a solution (scalene triangle)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

To determine whether the relation is a function, we need to check if each x-value is associated with only one y-value in the mapping diagram.

A mapping diagram is a picture of two circles that shows the connection between input and output values. Illustration of a mapping diagram. The x-values (inputs) in the image are converted to the associated y-values by drawing an arrow from one x-value to its corresponding y-value (outputs).

From the given mapping diagram, we can see that the x-value -8 is associated with the y-value -4, the x-value -5 is associated with the y-value -2, the x-value -1 is associated with the y-value -2, the x-value 1 is associated with the y-value -2, the x-value 12 is associated with both the y-value -4 and -2.

Since the x-value 12 is associated with two different y-values, the given relation is not a function. To be a function, each x-value must be associated with only one y-value in the mapping diagram.

To know more about mapping diagram visit:

https://brainly.com/question/12949831

#SPJ1

Answer: I think its C lmk if I'm wrong

Explanation:

Answer:

Can you retype the question it is difficult to understand when copy and pasted

Step-by-step explanation:

Answer:

sorry

Step-by-step explanation:

The place value of 3 in this number be ten.

Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.

The number 42,316 is different from 61,432 because the digits are in different positions.

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.

Learn more about place value here :-

https://brainly.com/question/21467438

#SPJ4

Answer:

Vertex: (0.0)

Domain: (Negative infinity, Positive infinity)

Range: (0, infinity)

a. The prime numbers in this list are 5 and 7. b. There are no prime numbers in this list. c. The prime numbers in this list are 31 and 17. d. The prime numbers in this list are 61 and 2.

a. In the list 5, 7, 12, 11, the prime numbers are 5, 7, and 11. Prime numbers are numbers greater than 1 that have only two factors, 1 and themselves.

b. In the list 14, 6, 3, the prime number is 3. The other numbers have more than two factors, making them not prime.

c. In the list 31, 17, 9, 15, the prime numbers are 31 and 17. The numbers 9 and 15 have more than two factors, so they are not prime.

d. In the list 782, 61, 2, the prime numbers are 61 and 2. Number 2 is the smallest prime number, and 61 has only two factors, 1 and 61. The number 782 has more than two factors, so it is not prime.

To summarize, the prime numbers in each list are: a. 5, 7, 11; b. 3; c. 31, 17; d. 61, 2.

Know more about prime numbers here:

https://brainly.com/question/145452

#SPJ11

The Poisson distribution is applied to events where the probability of occurrence of a certain number of events in a fixed interval of time, space, or distance is small but not necessarily "very small". False.

The Poisson distribution is used to model events that occur randomly and independently over a continuous or discrete interval of time, space, or distance, such as the number of phone calls received at a call center in an hour, the number of cars passing through a toll booth in a given time period, or the number of emails received per day. The Poisson distribution is characterized by a discrete probability mass function that describes the probability of a certain number of events occurring in a given interval, and it is widely used in probability theory and statistics for modeling events with low to moderate occurrence rates.

Learn more about “  probability of occurrence  “ visit here;

https://brainly.com/question/28320298

#SPJ4

The poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.

Given statement is False.

Because, The Poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is not necessarily very small, but rather where the events occur randomly and independently at a constant average rate.

The Poisson distribution models the number of events that occur in a fixed time interval or within a certain area or volume of space, assuming that the events occur independently of each other and at a constant average rate. It is used in many fields, such as biology, physics, economics, and engineering, to model the occurrence of rare or common events.

The Poisson distribution has several important properties, including:

Its mean is equal to λ, and its variance is also equal to λ.

It is a discrete distribution, meaning that it models only whole numbers of events.

It is often used to model rare or unusual events, but can also be used for events that occur frequently, as long as they occur independently at a constant average rate.

For similar question on poisson distribution.

https://brainly.com/question/9123296

#SPJ11

Answer:

dont mind me

Step-by-step explanation:

Answer:

b. a. c. b. c. b. c. c. a.

Step-by-step explanation:

2 3 4 5 6 7 8 9 and 10

In parallelogram ABCD, ∠b = 55°; ∠d = 55. So, the correct answer is (a).

We know that opposite angles of a parallelogram are congruent. In another words, opposite angles of  parallelogram are equal. Therefore, we equate the angle B and angle D to each other and solve.

angle B = angle D

2n + 15 = 3n - 15

n = 30

The value of n is 30.

Now we can find the measures of angles B and D:

angle B = 2n + 15 = 2(30) + 15 = 75 degrees

angle D = 3n - 15 = 3(30) - 15 = 75 degrees

Therefore, the answer is (a) ∠b = 55°; ∠d = 55

To know more about parallelogram :

https://brainly.com/question/16578666

#SPJ4

____The given question is incomplete, the complete question is given below:

In parallelogram ABCD measure of angle b is 2n+15 and angle d is 3n - 15. What are the measures of angles b and d? a)∠b = 55°; ∠d = 55° b) ∠b = 55°; ∠d = 125° c) ∠b = 97°; ∠d = 97° d)∠b = 83°; ∠d = 97°

Answer:

The Answer is A

Step-by-step explanation:

I just took the test! 2023Edg

Answer:

See below:

Step-by-step explanation:

We can first setup an equation by doing the following:

\(4(2-x) = 3(x+1)\\8-4x=3x+3\\8-7x=3\\-7x=3-8\\-7x=-5\\x=-5/-7 (5/7)\)

Whole proccess above!

If you would like an explanation, please let me know so.

Its basically algebra and it's mainly on how you interpret it!

Have a nice day!

Answer:

I guess you should put the points B and D opposite to eachother with 180 degree between them so that it the line segment BD pass through the center to make 2 radii which is a diameter

Answer:

3.95

Step-by-step explanation:

3 7/10 + 0.25= 3.95

Answer: below

Step-by-step explanation:

700,000+20,000+3000+300+40+1+0.90+0.04

Not really sure but i hope this is correct

Answer: 723,341.94 = 700,000+ 20,000+ 3,000+300  + 40  +1  +0.9 +0.04

Answer:

I belive that the correct answer is 32. hope this helps mark me as brianliest????

Step-by-step explanation:

Answer:

missing constant is 36

Step-by-step explanation:

x²-12x+36

because 12x= 2*√x²*√36

so 36 is missing constant

and there is easier way (12/2)² = 36

Fatma's account needs to earn a rate of return of approximately 0.2957% per month to stretch her money out for 17 years.

To determine the required rate of return for Fatma's account, we can use the future value formula:

FV = PV * (1 + r)^n

Where:

FV = Future value (amount needed for 17 years of expenses)

PV = Present value (initial amount Fatma has)

r = Rate of return

n = Number of compounding periods (monthly withdrawals over 17 years)

Given:

PV = $182,000.00

Monthly expenses = $1,350.00

Number of years = 17

Number of compounding periods = 17 years * 12 months = 204 months

We can rearrange the formula to solve for the required rate of return (r):

r = (FV / PV)^(1/n) - 1

Substituting the given values:

FV = $1,350.00 * 204 = $275,400.00

r = ($275,400.00 / $182,000.00)^(1/204) - 1

Calculating this expression:

r ≈ 0.002957 (approximately 0.2957%)

Therefore, Fatma's account needs to earn a rate of return of approximately 0.2957% per month to stretch her money out for 17 years.

learn more about return   on

https://brainly.com/question/32493906

#SPJ11

The time categories are divided into "<1 hour," "1-2 hours," "2-3 hours," and ">3 hours."  

What does the frequency distribution in the table reveal about the homework habits of the two samples of high school students?

The frequency distribution in the table provides insights into the distribution of homework habits among the two samples of high school students. By examining the frequency counts in each time category, we can determine the proportion of students spending different amounts of time on homework each night. This information helps identify patterns and differences in homework habits between the two samples, allowing for a comparison of their study behaviors.

Here is an example of a 4-column table with 2 rows representing the results of a random survey asking two samples of 100 high school students about the amount of time they spend on homework each night:

Sample 1:

  Sample 1                                                     Number of Students

    Time                                                                   Frequency

   <1 hour                                                                     20

  1-2 hours                                                                    40

 2-3 hours                                                                     30

    >3 hours                                                                   10

Sample 2:

 Sample 2                                                        Number of Students

Time                                                                      Frequency

<1 hour                                                                        30

1-2 hours                                                                    35

2-3 hours                                                                   20

>3 hours                                                                      15

In this table, each sample represents a different group of 100 high school students, and the frequency of students spending a particular amount of time on homework each night is recorded. The time categories are divided into "<1 hour," "1-2 hours," "2-3 hours," and ">3 hours." The table provides an overview of the distribution of homework time among the two samples of high school students.

To learn more about  the frequency distribution from the given link

brainly.com/question/27820465

#SPJ4

The radius of the cylinder with a diameter of 18 cm is 9 cm.

The distance between the center of a circular body and the circumference of the circular body is known as Radius.

The diameter of the base of the cylinder is 18 cm.

The radius of the circular base is equal to half of the diameter of the circular base.

So,

\(R=\dfrac{D}{2}\\=9\text{ cm}\)

Thus, the radius of the base of the cylinder with a diameter of 18 cm is 9 cm.

Learn more about radius here- https://brainly.com/question/13449316

#SPJ2

Answer:

x = 34

Step-by-step explanation:

-8 = dropped 8 degrees

26 = 26 degrees at midnight

x = temperature at 6

x - 8 = 26

(add 8 to both sides) x = 34

Answer:

153.94

Step-by-step explanation:

c=2r*r

The radius is half of the diameter.

To find the radius you will divide 49 inches by 2.

You should get a total of 24.5

Now that you have your radius you are going to use the circumference formula to solve.

C= 2r*r

C=2(24.5)*(24.5)

type that into the calculator (without the parenthesis) and boom your done!

You answer should be 153.938

then you round to get a total of 153.94

I hope i was able to help!

Answer: c = 3771.481981 (decimal place) or 1200.5\(\pi\) (exact form)

Step-by-step explanation:

c = 2\(\pi\)r

c = 2 x \(\pi\) x \(24.5^{2}\)

radius = diameter divided by 2

          = 49 divided by 2

          =  24.5

c = 3771.481981 (decimal place) or 1200.5\(\pi\) (exact form)

To calculate the cost of driving a diesel tractor trailer truck for 175.0 miles, we need to determine the number of gallons of fuel required and then multiply it by the cost per gallon.

Calculate the number of gallons of fuel needed. Given that the truck gets 8.500 miles per gallon, we divide the total distance (175.0 miles) by the fuel efficiency: 175.0 miles / 8.500 miles per gallon

= 20.59 gallons (approximately)

Calculate the cost of the fuel.Since diesel fuel costs $3.599 per gallon, we multiply the number of gallons needed by the cost per gallon: 20.59 gallons x $3.599/gallon = $73.89 (approximately) Therefore, it will cost you approximately $73.89 to drive the diesel tractor trailer truck for 175.0 miles, assuming it gets 8.500 miles per gallon and diesel fuel costs $3.599 per gallon.

To know more about number visit:

https://brainly.com/question/33311228

#SPJ11