Bert keeps honeybees on his farm. When he first started he used a six frame beehive that held 40 pounds of honey. now he uses a 30 frame beehive. It has the same ratios of frames to honey as a smaller beehive.
How much honey does Bert’s new beehive hold?

Answers

Answer 1

If now he uses a 30 frame beehive. It has the same ratios of frames to honey as a smaller beehive. The amount of  honey that Bert’s new beehive hold is 200.

How to find the number of honey?

Given data:

Number of frame beehive = 6

Pound of honey = 40

Current Frame beehive = 30

First step is to formulate an equation and then use the formulated equation to find  the number of honey

40 × 30 ÷ 6

Hence,

40 × 5

= 200 honey

Therefore the number of honey is 200.

Learn more about number of honey here: https://brainly.com/question/28597916

#SPJ1


Related Questions

A blue whale weighs about 200 tons. It eats only small sea creatures called krill. The blue whale
eats 2% of its body weight each day. How many tons of krill does the blue whale eat each day?
Explain your thinking.

Answers

Answer:

4 tons of its body weight

Step-by-step explanation:

In this situation you must find 2% of 200. This is simply 4.

Answer: 4 tons

Step-by-step explanation:

the whale eats 2% of itself everyday, so it would be x/200= 2/100 and the whale would eat x tons, which equals 4 so it eats 4 tons of krill a day

Decide whether events A and B are overlapping or non-overlapping, you roll a red die and a blue die. event a is that you get a sum of 9. event b is that you get a double.() overlapping ()non-overlapping

Answers

Events A and B are non-overlapping. Option(2) is correct.

When two sets A and B have at least one element in common, they are said to be overlapping.

The sets of photographs that don't overlap are the sets where no two pictures (correctly) don't overlap. They are the expansion of the cross-bifix-free sets of strings to two dimensions is called non-overlapping.

A red die and a blue die are rolled.

Assume that Event A is receiving the number 9.

Event B: You receive a double.

Whether events A and B overlap or not is what we want to determine.

When two red dice and two blue dice are thrown, a sample space is then provided by,

S = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5),(3,6), (4,1), (4,2), (4,3), (4,4),(4,5),(4,6) (5,1), (5,2), (5,3), (5,4),(5,5),(5,6),(6,1), (6,2),(6,3)(6,4),(6,5),(6,6)}

The two dice are rolled, and there are a total of 36 outcomes.

n(S)=36

Assume that Event A is receiving the number 9.

The probable results for A = (3,6), (4,5), (5,5), (5,6), (6,3)

And let's say that you receive a double in Event B.

The events that may occur if B=(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)

We can observe that the two events are distinct from one another since there is no overlap in the potential outcomes of the two events.

Therefore events A and B are non-overlapping

To learn more about lapping and over-lapping visit

https://brainly.com/question/11000941

#SPJ4

227 x 173 simplify using identities. Ple someone answer quickly.....

Answers

227 x 173 simplify using identities. Ple someone answer quickly

Equation of a line in point- slope form, that passes through (1,-7) and has a slope of -2/3?

Answers

The equation of a line in point- slope form, that passes through (1, -7) and has a slope of -2/3 is (y + 7) = -2/3 (x - 1)

How to determine the equation of a line in point- slope form

Information gotten from the question include

a slope of -2/3

points (1, -7)

What is linear function ?

A linear function consists of functions where the variables has exponents of 1.

The equation of a line in point- slope form is expressed in the form.

(y - y₁) = m (x - x₁)

Definition of variables

(y and y₁) = refers to variables in the y direction

m = slope

x and  x₁ = refers to variables in the x direction

substituting into the slope and point (1, -7) equation gives

()y + 7) = -2/3 (x - 1)

Learn more about linear functions at:

https://brainly.com/question/29213643

#SPJ1

A railroad
car container can hold 42,000 pounds.
Mr. Evans wants to ship 90 ovens and
some freezers in the same container.
If each freezer weighs 600 pounds,
how many freezers could be shipped
in the container? Explain.

Answers

40 freezers could be shipped in the container.

What is a variable?

A variable is a quality that may be measured and take on several values.

We are given that

A railroad container can hold weight=42,000 pounds

Total number of ovens for ship=90

Weight of each oven=200 lbs

Weight of each freezer=600 pounds

We have to find the number of freezers that can be shipped in the container.

Let x be the number of freezers that can be shipped in the container.

According to the question,

42000=90(200)+600x

42000=18000+600x

600x=42000-18000=24000

x=24000/600=40

Hence, 40 freezers can be shipped in the container.

To learn more about the variable from the given link

https://brainly.com/question/27894163

#SPJ1

The polynomial f(x) = 2x ^ 3 + a * x ^ 2 + bx + 6 is exactly divisible by 2x - 3 and has the remainder -28 when divided by (x + 3) a) find the values of a and b. b) solve the equation f(x) = 0

Answers

The polynomial f(x) = 2x³ + ax² + bx + 6 is exactly divisible by 2x - 3. The values of a and b are a = 131/27 and b = -71/9

To solve the problem, use the polynomial remainder theorem. If a polynomial f(x) is divided by a linear function with zero x = a, then the remainder r = f(a).

The given polynomial is:

f(x) = 2x³ + ax² + bx + 6

- The polynomial is exactly divisible by (2x-3) means:

f(3/2) = 0

2. (3/2)³ + a(3/2)² + b(3/2) + 6 = 0

27 + 9a + 6b + 24 = 0

9a + 6b = - 51 (equation 1)

- f(x) divided by (x+3) has remainder -28

f(-3) = -28

2. (-3)³ + a(-3)² + b(-3) + 6 = -28

9a - 3b = 20  (equation 2)

Substract equation 2 from equation 1

9a + 6b = -51

9a - 3b =  20 _

      9b = -71

         b = -71/9

9a - 3(-71/9) = 20

9a = 131/3

a = 131/27

Learn more about polynomial remainder here:

https://brainly.com/question/11935000

#SPJ4

1 Which of the following equations are
true? Select all that apply.
A 7+(-7) = 14
B -4+9=5
C 3-(-10) = -7
D -2-6=-8

Answers

Equations B and D are true.

This shows a linear function.


x y
0 15
1 25
2 35
3 45
4 55
Which equation represents the table?

A.
y = 10x + 15

B.
y = 15x + 10

C.
y = 10x

D.
y = 15x

Answers

Answer:

Option A:  y = 10x + 15

Step-by-step explanation:

Let's find the equation in the form of y=mx+b that fits the data.  m is the slope and b is the y-intercept (the value of y when x=0).  Slope, m, the the Rise/Run of the line.  It can be found by taking any two points from the table.  Let's choose (0,15) and (2,35), although any two will work.

x    y

0   15

1    25

2   35

3   45

4   55

(0,15)   (2,35)

The Rise is the change in y:  (35 - 15) = 20.

The Run is the change in x for the same points:  (2 - 0) = 2

The slope is the Rise/Run = (20/2) or 10.

The equation has the form y = 10x + b.

Let's find b.  Just enter any of the points in the above equation and solve for b.  I'll choose (3,45).

  y = 10x + b

  45 = 10*(3) + b

b = 45 - 30

b = 15

[Note:  since b is the value of y when x equals zero, we really didn't need to calculate b as we just did.  There is a data point already that tells us the value of y when x = 0:  (0,15)]

The equation is y = 10x + 15Option A:  y = 10x + 15

Graph the inequality on the axes below −2x+y≥−6

Answers

A graph of the inequality (-2x + y ≥ -6) is shown in the image attached below.

What is a graph?

A graph simply refers a type of chart that is typically used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.

Next, we would rearrange and simplify the given equation in slope-intercept form as follows:

-2x + y ≥ -6

Adding 2x to both sides of the inequality, we have the following equation:

-2x + y + 2x ≥ -6 + 2x

y ≥ -6 + 2x

Rearranging the equation in slope-intercept form, we have the following equation:

y ≥ 2x - 6

Read more on graphs here: brainly.com/question/4546414

#SPJ1

Can someone pls help me with this and show your work it would mean a lot

Answers

Using the angle of elevation formula, the distance between John and Fred from the building is 1.2m and 1.67m.

What is the angle of elevation?The angular relationship between the horizontal plane and the line of sight for an object above the horizontal.The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.You may calculate the angle of elevation, for instance, by standing on the ground and looking up at the peak of a mountain.

So, the distance of the building from John and Fred is:

Let, the height of the building be QR and the distance between the building and John and Fred be PR and SR.

Now, we get the formula:

Tanθ = QR/PRTanθ = QR/SR

Calculate as follows:

John's distance:

Tanθ = QR/PR25 = 30/PRPR25 = 30PR = 30/25PR = 6/5
PR = 1.2m

Fred's distance:

Tanθ = QR/SR18 = 30/SRSR18 = 30SR = 30/18SR = 15/9SR = 1.67m

Therefore, using the angle of elevation formula, the distance between John and Fred from the building is 1.2m and 1.67m.

Know more about the angle of elevation here:

https://brainly.com/question/27243378

#SPJ13

2/5 of what is 2/3? i need so much help

Answers

The answer is 4/15

2/5 * 2/3 = 2 · 2/5 · 3 = 4/15

Multiply the numerators and denominators together. Keep the result fraction to the smallest possible denominator GCD(4, 15) = 1. It cannot further simplify the fraction result by canceling in the following intermediate step.

In other words, two fifths times two thirds equals four fifteenths.

Learn more about fraction here:

https://brainly.com/question/17220365

Answer:

5/3

Step-by-step explanation:

"of" means times so so so often. It is not a hard math rule/definition. But more like a soft English-Math translation.

So, "2/5 of what"

means 2/5x (but make sure the 2/5 is a fraction beside the x, NOT the x on the bottom with the 5)

"is" means equals.

2/5x = 2/3

Multiply both sides by 5/2.

5/2 • 2/5x = 2/3•5/2

x = 2/3 • 5/2

x = 5/3

You get 5/3 either by "cancelling" the 2's OR by

fraction multiplication where you times top×top and bottom×bottom and simplify.

x = 10/6

x = 5/3

2/5 of 5/3 is 2/3.

The "what" in the question is 5/3.


How much water must be added to 14 liters of a 90%
acid solution to obtain a 40% acid solution?

Answers

17.5 litres of must be added to 14 litres of a 90% acid solution to obtain a 40% acid solution.

What is percentage?

A percentage is a number or ratio expressed as a fraction of 100.

Given that, there are 14 litres of a solution which is 90% acidic,

Let water added be x, then according to question,

0.90*14 = 0.40(x+14)

12.6 = 0.40x + 5.6

0.40x = 7

x = 17.5

Hence, 17.5 litres of must be added to 14 litres of a 90% acid solution to obtain a 40% acid solution.

For more references on percentage, click;

https://brainly.com/question/28269290

#SPJ1

reduce with all steps​

Answers

Answer
40+44 / 2
84 / 2
42

Please, can someone help me with this math? I would greatly appreciate it!

Answers

The proof that shows that lines DC and AB are parallel is shown below.

What is the SSS Congruence Theorem?

The SSS congruence theorem states that two triangles that have three corresponding congruent sides are congruent to each other.

When two triangles are proven to be congruent triangles, invariably, we can state that the corresponding parts of both triangles are also equal to each other by CPCTC.

The following proof shows lines DC and AB are parallel lines:

Statement                                              Reasons                                                    

1. AB = CD                                             1. Given

AD = CB                                    

2. Line AC = Line AC                            2. Reflexive property

3. Triangle ADC ≅ Triangle ABC         3. SSS

4. Angle 1 ≅ Angle 4                             4. CPCTC

5. DC║AB                                              5. Converse of alternate interior ∠s theorem

Learn more about the SSS theorem on:

https://brainly.com/question/2102943

#SPJ1

help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The width, labelled x in the figure is 162.5 meters

How to determine the width of the rectangle?

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

Length = 650 - 2x

Width = x

The area of a rectangle is the product of its dimensions

So, we have

Area = Length x Width

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

A = (650 - 2x) * x

Evaluate

A = 650x - 2x²

Differentiate and set to 0

650 - 4x = 0

So, we have

4x = 650

Divide by 4

x = 162.5

Hence, the width is 162.5 meters

Read more about rectangles at

https://brainly.com/question/25292087

#SPJ1

line bd is tangent to a circle with diameter ab. explain why the measure of angle bca must equal the measure of angle abd.

Answers

The measures of the angles BCA and ABD are equal because they are both right angles.

The line segment BD is a tangent to the circle with diameter AB. We need to find out the reason why the measure of angle BCA must be equal to the measure of angle ABD. The diagram is attached below.

Since AB is the diameter of the circle, it makes an angle equal to 180 degrees at the center of the circle. So the measure of the angle BCA is half of the angle produced by the diameter.

∠BCA = (1/2)×180° = 90°

Since the line BD is tangent to the circle, it will be perpendicular to the diameter. Hence, the angle formed by the diameter and the tangent must be the right angle.

∠ABD =  90°

Hence, both the angles are equal to each other.

To learn more about angles, visit :

https://brainly.com/question/28451077

#SPJ4

whats the equation of a line that passes through the points
(12,12) and (20,6)

Answers

Slope intercept form: y=-3/4x+21

For each sequence that is neither arithmetic nor geometric, how can you change a
single number to make it an arithmetic sequence? A geometric sequence?

Answers

If the common difference between every term in a sequence is the same, the sequence is arithmetic. If all of the terms in a sequence have the same common ratio, the sequence is geometric.

Take a look at the sequence 2,4,6,8, and note how each new term is created by adding a constant term, in this case 2, to the one before it.

For instance, the number 4 is created by adding 2 to the previous phrase, in this case the number 2.

Similar to how 2 + 4 = 6, another number is obtained by adding 2 to 4.

As a result, the sequence is arithmetic since there is a common difference between the sequences, which in this case is 2.

Take the numbers 3, 6, 12, etc.

Keep in mind that the ratio of the following and preceding terms is the same (6/3=2 and 12/6=2).

Such a sequence is referred to as a geometric sequence, and the constant ratio is known as the common ratio of the sequence and is typically indicated by the symbol r.

What is arithmetic sequence?

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

What is geometric sequence?

Every term in a geometric series is obtained by multiplying the term before it by the same number.

Learn more about geometric sequence and arithmetic sequence :

https://brainly.com/question/28188245

#SPJ1

how many movies did marc watch between the beginning of week 1 and the beginning of week 5? do not include the unit in your answer.

Answers

Using the concepts of straight line, we got 7 movies did marc watch between the beginning of week 1 and the beginning of week 5.

From the diagram given, we got that during the week 1 number of movies watch by marc is 2,while at the beginning of the week 5 the number of movies watch by marc is 9.

So, we need total  number of movies watched by marc in between week 1 and week 9 which is given by-

Number of movies watch at the beginning of week 5-Number of movies watch at the beginning of week 1

Number of movies=9-2

=>Number of movies watched by marc=7.

Hence, the number of movies marc watch between the beginning of week 1 and the beginning of week 5 is 7.

To know more about straight line, visit here:

https://brainly.com/question/29223887

#SPJ4

(Complete question)

Marc is keeping track of the total number of movies he has watched over time. The line graph below actually shows the data where the number of movies corresponds to  number of movies that had been watched at the beginning of  week shown on the horizontal axis.

How many movies did Marc watch between  beginning of week 1 and the beginning of week 5? Do not include the unit in your answer.

The perimeter of a rectangle is 84 feet. The ratio of the width to the length is
2:5. Find the length and the width.

Answers

Width: 12
Length: 30

5x+5x+2x+2x = 14x

84/14 = 6

Since the ration is 2:5 you will multiply 6*2and then 6*5 to get that width and length.

6*2=12
6*5= 30

12+12+30+30 = 84

The width of the rectangle is 12 feet and the length is 30 feet.

What is perimeter?

The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.

Given that, The perimeter of a rectangle is 84 feet. The ratio of the width to the length is 2:5.

Let the width be 2x and length be 5x,

Perimeter = 2(l+w)

2(2x+5x) = 84

2x+5x = 84/2

2x+5x = 42

7x = 42

x = 42/7

x = 6

Therefore, width = 6x2 = 12

Length = 5x6 = 30

Hence, The width of the rectangle is 12 feet and the length is 30 feet.

For more references on perimeter, click;

https://brainly.com/question/6465134

#SPJ2

mike discovered that the pool in his backyard is leaking slowly. the pool holds 15,478 gallons of water, and is leaking at a rate of 11 gallons per day. if mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool after 91 days?

Answers

The pool will have 14, 477 gallons of water.

The amount of water that has leaked in 91 days = rate of leakage × number of days

Keep the values in formula

The amount of water that has leaked in 91 days = 11 × 91

Performing multiplication

The amount of water that has leaked in 91 days = 1001 gallons

Amount of water remaining after 91 days = total amount of water - the amount of water that has leaked in 91 days

Amount of water remaining after 91 days = 15,478 - 1001

Performing subtraction

Amount of water remaining after 91 days = 14, 477 gallons

Hence, after 91 days there will be 14, 477 gallons of water in the pool.

Learn more about rate calculations -

https://brainly.com/question/27317435

#SPJ4

Add. Write your answer as a fraction or as a whole or mixed number.

2 8/9 + 5 5/9 =

Answers

The required answer in mixed number for a given operation is [tex]8\frac{4}{9}[/tex]

What are mixed numbers?

A whole number and a proper fraction are both expressed together as a mixed number. A number between any two whole numbers is typically represented by it.

Given,     [tex]2\frac{8}{9} + 5\frac{5}{9}[/tex]

             [tex]= \frac{(2*9)+8}{9} +\frac{(5*9)+5}{9}[/tex]

             [tex]= \frac{18+8}{9} +\frac{45+5}{9}[/tex]

              [tex]= \frac{26}{9} +\frac{50}{9}[/tex]

               [tex]= \frac{26+50}{9} = \frac{76}{9} = 8\frac{4}{9}[/tex]

Hence, the required answer for the given term is  [tex]8\frac{4}{9}[/tex] .

To learn more about mixed numbers

https://brainly.com/question/28957298

#SPJ13

 

Encuentre dos números positivos cuyo producto es 25 y cuya suma es un mínimo. (Especifica el valor minimo y maximo si los dos valores no son lo mismo.)

Answers

The two positive numbers are 5 , 5.

Given:

Product of two positive numbers = 25

sum of these number is minimum.

Let a and b be the two positive numbers.

a*b = 25

b = 25/a

sum s = a+b

= a + 25/a

apply derivation on both sides.

ds/da = 1 - 25/[tex]a^{2}[/tex]= 0.

1 = 25/[tex]a^{2}[/tex]

a = [tex]\sqrt{25}[/tex]

a = 5 , -5

since given are positive numbers so 5 is considered.

b = 25/5

b = 5

Therefore the two positive numbers are 5 , 5.

Learn more about the two positive numbers here:

https://brainly.com/question/17865861

#SPJ1

During the problem disaggregation process, the logic trees should have branches that are?.

Answers

During the problem disaggregation process, the logic trees should have branches that are both mutually exclusive and collectively exhaustive.

Problem disaggregation refers to the process of breaking down the larger higher-level operation into smaller plans and shorter periods. It refers to the use of analysis, logic, and facts to evaluate and understand each element of the problem in terms of causes and driver of the situation using logic trees. Logic trees improve the problem definition and aid in understanding an issue in more detail. There are different types of logic trees used in the process – factor logic tree, inductive logic tree, deductive logic tree, hypothesis tree, and decision tree. The logic trees should have branches that are MECE – mutually exclusive and collectively exhaustive. It is the second and an important step in the seven steps bulletproof problem-solving process used for complex solving.

Learn more about Logic trees:

https://brainly.com/question/29097513

#SPJ4

76.43 divide 3.4
Please Answer

Answers

Answer:

22.479411764705882352941176470588

Step-by-step explanation:

76.43/3.4

=22.479411764705882352941176470588

The answer to that is 22.4794

Pls Help Me With this
1. 2.1 x 5.12 =____ 2.12.3 x 1.6 =
Estimate______ Estimate____


3. 6.5 x 3.1 =____ 4. 51.3 x 2.7 = ____
Estimate_____ Estimate______

Answers

The corresponding estimate for numbers in 1,2,3 and 4 are 10, 24, 21 and 153

How to estimate numbers?

Estimation and approximation is the process of using rounded values when presenting numerical data and making rough calculations.

The digits 1,2,3 and are rounded down and digits 5,6,7,8 and 9 are rounded up

1.  2.1 x 5.12 =  2 x 5 = 10

Explanation: The number after the digit 2 in 2.1 is 1, we will round down 2.1 to 2. Also, the number after the digit 5 in 5.12 is 1, we will round down 5.12 to 5

2. 12.3 x 1.6 = 12 x 2 = 24

Explanation: The number after the digit 12 in 12.3 is 3, we will round down 12.3 to 12. Also, the number after the digit 1 in 1.6 is 6, we will round up 1.6 to 2

3. 6.5 x 3.1 = 7 x 3 = 21

Explanation: The number after the digit 6 in 6.5 is 5, we will round up 6.5 to 7. Also, the number after the digit 3 in 3.1 is 1, we will round down 3.1 to 3

4. 51.3 x 2.7 = 51 x 3 = 153

Explanation: The number after the digit 51 in 51.3 is 3, we will round down 51.3 to 51. Also, the number after the digit 2 in 2.7 is 7, we will round up 2.7 to 3

Therefore, the estimate for 1,2,3 and 4 are 10, 24, 21 and 153 respectively

Learn more about estimation and approximation on:

brainly.com/question/29033029

#SPJ1

Help me find the slop for question 1 and 2 ill give credit

Answers

The slopes of the given lines are:

1. 2/5.

2. -1.

How to Find the Slope of a Line?

If a line passes through points on a graph, [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the formula that can be employed to find the slope of a line is given as:

Slope (m) = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].

1. Using two points on the line, (3, 1) and (-2, -1):

Slope of the line = m = (-1 - 1)/(-2 - 3)

Slope of the line (m) = -2/-5

Slope of the line (m) = 2/5

The slope of the graph is 2/5.

2. Using two points on the line, (-3, 2) and (2, -3):

Slope of the line = m = (-3 - 2)/(2 -(-3))

Slope of the line (m) = -5/5

Slope of the line (m) = -1

The slope of the graph is -1.

Learn more about the slope of graphs on:

https://brainly.com/question/19376563

#SPJ1

a course catalog for the open university of earth lists classes via a sequence of three numbers (chosen from 0 to 9) followed by three letters in english (chosen from a to z). how many courses can be given unique catalog numbers? choose the best answer.

Answers

17576000 courses can be given unique catalog numbers.

There are three numbers and three English letters.

Each of three numbers can be chosen from 0 to 9, so the ways to choose each number is  = 10

So the total number to choose three numbers = 10*10*10 = 1000

Each of letters can be chosen from A to Z.

Number of choice for the each letter = 26

So, the outcomes of letter combination = 26*26*26 = 17576

Hence the total possible catalog numbers = 1000*17576 = 17576000

To know more about Combination refer to:

https://brainly.com/question/11732255

#SPJ4

Radioactive elements decrease (or decay) exponentially. Suppose that 120 mg of an unknown radioactive
element decays down to 99 mg after 11 days.
(a) What is the half-life of the element? That is, how many days will it take before half of the original sample
has decayed?
half-life:
days (rounded to at least 2 decimal places)
(b) How long will it take for a sample of 99 mg in this scenario to decay to 40 mg?
days (rounded to at least 2 decimal places)
time needed:

Answers

Considering an exponential function, it is found that:

a) The half-life of the element is of 39.63 days.

b) The time needed is of 51.82 days.

What is an exponential function?

A decaying exponential function is modeled by the equation presented as follows:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which the variables of the equation are:

A(0) is the initial value.r is the decay rate, as a decimal.

In this problem, the parameters are given as follows, from the text:

A(0) = 120, A(11) = 99.

Hence the decay rate r is obtained as follows:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]120 = 99(1 - r)^{11}[/tex]

[tex](1 - r)^{11} = \frac{99}{120}[/tex]

[tex]1 - r = \sqrt[11]{\frac{99}{120}}[/tex]

[tex]1 - r = \left(\frac{99}{120}\right)^{\frac{1}{11}}[/tex]

1 - r = 0.98266367982

Hence the equation is:

[tex]A(t) = A(0)(0.98266367982)^t[/tex]

The half-life is the value of t for which:

A(t) = 0.5A(0).

Hence:

[tex]A(t) = A(0)(0.98266367982)^t[/tex]

[tex]0.5A(0) = A(0)(0.98266367982)^t[/tex]

[tex](0.98266367982)^t = 0.5[/tex]

[tex]\log{(0.98266367982)^t} = \log{0.5}[/tex]

[tex]t\log{(0.98266367982)} = \log{0.5}[/tex]

[tex]t = \frac{\log{0.5}}{\log{(0.98266367982)}}[/tex]

t = 39.63 days.

For item b, the time is obtained as follows:

[tex]A(t) = 99(0.98266367982)^t[/tex]

[tex]40 = 99(0.98266367982)^t[/tex]

[tex](0.98266367982)^t = \frac{40}{99}[/tex]

[tex](0.98266367982)^t = 0.40404040[/tex]

[tex]t = \frac{\log{0.40404040}}{\log{(0.98266367982)}}[/tex]

t = 51.82 days.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

a hospital director is told that 31% of the emergency room visitors are uninsured. the director wants to test the claim that the percentage of uninsured patients is below the expected percentage. a sample of 380 patients found that 95 were uninsured. find the value of the test statistic. round your answer to two decimal places.

Answers

The test statistic is -2.60 as a sample of 380 patients found that 95 were uninsured.

What is test statistic?

A statistic used in statistical hypothesis testing is known as a test statistic. A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is typically expressed. For instance, the Z-statistic, which has the typical normal distribution under the null hypothesis, is the test statistic for a Z-test. Here,

n=380

x=95

p=95/380

p=0.25

test=(0.25-0.31)/√(0.28(1-0.28)/380)

test=-2.60

The test statistic is -2.60 because 95 out of 380 patients in the sample did not have insurance.

To know more about test static,

https://brainly.com/question/4675410?referrer=searchResults

#SPJ4

Other Questions
In Minny's opinion, Aibileen risks two things by helping Miss Skeeter. What are the two things? Which of the following is not an example of ethos?A political candidate talks about their experience as a soldier and businesswoman.A truck commercial features commentary from an engineer that designed their latest model.A guest speaker opens with a joke that elicits laughter from the audience.A lawyer refers to the testimony of a forensic scientist during their closing argument. in comparison to the atmosphere of venus, the vastly different atmospheric character of mars is likely due to a/an when attempting to determine the identity of the criminal, police may present a single suspect to a victim or witness. this type of indentification procedure is known as a/an . Explain why you would select the waterfall model to implement the baby monitoring system by describing the advantages of using the waterfall model in projects like this which consists of a large scope. why is it critical to insert the gas syringe immediately after adding the yeast solution to the sugar in the erlenmeyer flask each time this experiment is repeated with a different sugar? Which two geologic events occur very slowly as a result of tectonic forces and movement?A.Convection in the mantleB.EarthquakesC.Plate subductionD.Formation of volcanoes he perspective that defines the capabilities needed by the organization to create long-term improvement is the a.process perspective. b.learning and growth perspective. c.financial perspective. d.customer perspective. MARKING BRANLIEST! The main point of a Modest Proposal is that to ease poverty among the Irish, they should sell their babies as food. How did Swift portray the Irish poverty? Compare it to the life of the native settler in the 18th century. Refer to the essay you have for evidence. (i need this in a PQC) thank u Do you think Washington was the best choice for president? why is fructose toxic to liver cells, but not muscle cells, in individuals with a defect in the enzyme aldolase b? which of the following is not a common theme of authors writing dystopian literature? select one: a. the importance of free will and individuality. b. the importance of militarism and war. c. the importance of a shared, liberated humanity. d. the importance of knowledge and truth. The effect of the time of day a science class is laught on test scores is being studied in an experiment. Giving every student in the experiment the same final exam is an example of which experimental design principle? one reason why consumers are unlikely to be too upset about tariffs is because a) most consumers benefit from protection. b) tariffs are an inexpensive way to create jobs. c) consumer losses are not real losses. d) the costs are so spread out that no one pays a big share of the total. Angie bikes for 20 minutes burning 150 calories. How many minutes will it take to burn 525 calories? price discrimination is only possible in a (click to select) market structure. suppose you are advising five banners amusement park, which is the only such firm in the state. two types of visitors are interested in the park: middle-class families with young kids, and teens/college students. what is wrong (from the perspective of five banners' revenue) with charging all visitors the same high admissions price? multiple choice 2 five banners would have to pay its employees more. people will expect extremely awesome rides, which are expensive to build. teens and college students would not be able to visit, even though they would have if the price was lower. five banners would make less money on food sales. what is wrong (from the perspective of five banners' revenue) with charging all visitors the same low admissions price? multiple choice 3 five banners would start to attract competitors. the park will be overwhelmed by visitors, leading to unsafe conditions. five banners will get less revenue than it could have from the families, who are willing and able to pay more. five banners would have to pay its employees less. if five banners engages in price discrimination, the number of people visiting the park will be (click to select) if they charged everyone the same high monopoly price; and will be (click to select) the socially optimal number of visitors that would happen in a perfectly competitive market. If A = (1 , 4) and B = ( 7 , 6), then coordinates of the midpoint of AB are how can an object be accelerating while maintaining a constant speed? what force or forces can cause this type of acceleration and how exactly must they be oriented relative to the motion of the object? How is Addy 4+ -4 similar to adding 4+4 how is it different use the words and models to explain Fix the one word that is used incorrectly.Everyday between the summer solstice in June and the winter solstice in December,there is a small decrease in the hours of sunlight.