According to the Florida Agency for Workforce, the monthly average number of unemployment claims in a certain county is given by ????????(tt) = 24.31tt2 − 276.58tt + 2035, where t is the number of years after 1990. a) During what years did the number of claims decrease? b) Find the relative extrema and interpret it.

Answers

Answer 1

Answer:

a) The number of claims decrease from 1990 to 1996.

b) The relative extrema is a minimum and happens approximately in 1996 (t=5.688). This means the moment when the number of claims stop decreasing and start to increase.

Step-by-step explanation:

The monthly average number of unemployment claims in a certain county is given by:

[tex]C(t)=24.31t^2-276.58t+2035[/tex]

With t: number of years after 1990.

We have to determine in what years the number of claims decrease and the relative extreme value.

We can find this by analizing the first derivative.

When the first derivative is equal to zero, this indicates an extreme value, which can be a maximum or minimum.

When the first derivative is positive, it indicates that the function is increasing. On the contrary, when the first derivative is negative, it indicates that the function is decreasing.

The first derivative is:

[tex]\dfrac{dC}{dt}=24.31(2t)-276.58(1)+0\\\\\\\dfrac{dC}{dt}=48.62t-276.58[/tex]

Then, we can calculate the extreme value:

[tex]\dfrac{dC}{dt}=48.62t-276.58=0\\\\\\48.62t=276.58\\\\\\t=\dfrac{276.58}{48.62}=5.688\approx 6[/tex]

This extreme value happens for t=6 (year 1996).

If we calculate the value of the first derivative for t=5, that is previous to the extreme value, we can find if the function was increasing or decreasing:

[tex]\dfrac{dC}{dt}(5)=48.62*5-276.58=243.10-276.58=-33.48<0[/tex]

As the value is  negative, we know that the number of claims was decreasing from t=0 to t=6 (from 1990 to 1996), and then reach a minimum and start to increase from them (from 1996 onwards).


Related Questions

This area model shows 50 X 38 Which number is missing from the model

Answers

Answer:

69

Step-by-step explanation:

Find the supplement of an angle that measures 20 degrees.
A) 50 degrees
B) 70 degrees
C) 90 degrees
D) 160 degrees

Answers

Answer:

160 degrees

Step-by-step explanation:

Answer:I think it is D

Step-by-step explanation:

Factor.

Z^2- 3z – 18

Answers

Answer:

(z-6)(z+3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

z^2-6z + 3z -18

z(z-6)+3(z-6)

(z+3)(z-6)

tickets for a concert have been in increadbibly high demand. and as the date for the concert draws closer the price of tickets increases exponentially. the cost of a pair of concert tickets was $96 yesterday and today it is $108.

what is the multiplier

what is the daily percent rate?

using the cost of a ticket today as your initial value write an exponential equation that models this situation

what will be the cost of a pair of concert tickets in one week from today

what was the cost of a pair of tickets three days ago?

Answers

Answer:

multiplier 1.125percent rate 12.5%p(t) = 108·1.125^tp(7) = $246.32p(-3) = $75.85

Step-by-step explanation:

a) The daily multiplier is 108/96 = 1.125

b) The daily percentage change is 1.125 -1 = .125 = 12.5%

c) The function can be written as ...

  price = (initial value)·(daily multiplier)^t

  p = 108·1.125^t

d) for t=7, put the number in and do the arithmetic.

  108·1.125^7 ≈ 246.32 . . . dollar cost in a week

e) same deal, for t=-3

  108·1.125^-3 ≈ 75.85 . . . .dollar cost 3 days ago

Find the radius of Circle M, if the area of a sector is 36.07 cm^2 and the central angle of that sector is 58º. Round your answers to the hundredths place if necessary

Answers

Answer:

r = 5.97 cm

Step-by-step explanation:

The area of the sector is given by the following equation:

[tex]A = r*S = 2\pi*r^{2}*\frac{58}{360}[/tex]

Where:

r: is the radius

A: is the area

The radius is:

[tex]r = \sqrt{\frac{A}{2*\pi*58/360}} = \sqrt{\frac{36.07 cm^{2}}{2*\pi*58/360}} = 5.97 cm[/tex]

Therefore, the radius of Circle M is 5.97 cm.

I hope it helps you!

Select the correct symbol to compare the rates.
22 miles in 20 minutes 38 miles in 30 minutes

Answers

Answer:

<

Step-by-step explanation:

22/20=1.1

38/30=1.27

Answer:

<

Step-by-step explanation:

What is the length of AC? Brainliest for right answer

Answers

Answer:

2.3 units

Step-by-step explanation:

list all the factor means use divisibility rules of 102,232​

Answers

Answer:

  102,232​ = 2·2·2·13·983

Step-by-step explanation:

  102,232​ ends in 32, so is divisible by 4

  102,232/4 = 25558 ends in 2, so is divisible by 2

  25558/2 = 12779

     is not even, so is not divisible by 2

     has a sum of digits mod 9 of 8, so is not divisible by 3 or 9

     does not end in 0 or 5, so is not divisible by 5

     gives the result 1277-2·9 = 1259; 125-2·9 = 107; 10-2·7 = -4, which is not zero, so 12779 is not divisible by 7

     gives the result (1+7+9)-(2+7) = 8, which is not divisible by 11, so 12779 is not divisible by 11

     gives the result 1277 +4·9 = 1313, which is divisible by 13, so 12779 is divisible by 13

  12779/13 = 983 needs to be tested for divisibility by primes between 17 and 31, namely 17, 19, 23, 29, 31. It is not divisible by any of these, so this is the last prime factor of 102,232:

  102,323 = 2·2·2·13·983

_____

Divisibility rules:

Note that for any transformation rule, the rule can be repeated on the reduced result. The digits of a sum of digits can be summed, for example.

  2: ends in even digit

  3: sum of digits is divisible by 3

  5: ends in 0 or 5

  7: subtracting 2 times the last digit from the rest is divisible by 7

  11: difference of sums of alternate digits is divisible by 11

  13: there are several rules. A couple of useful ones are

the sum of 4 times the last digit and the remaining number will be divisible by 13 (used above)the difference of the sums of alternate groups of 3 digits will be divisible by 13 (232-102 = 130, for the number above; is divisible)

  17: subtracting 5 times the last digit from the rest is divisible by 17

  19: the sum of 4 times the last 2 digits and the remaining number will be divisible by 19

  23: the sum of 3 times the last 2 digits and the remaining number will be divisible by 23

  29: the sum of 9 times the last 2 digits and the remaining number will be divisible by 29

  31: subtracting 3 times the last digit from the rest is divisible by 31

What are prime number​

Answers

A prime number is a special number because it means that it only has one factor pair and that factor pair is always 1 and the number itself.

In other words, prime numbers are the numbers

divisible by 1 and the number itself.

For example, let us take 2.

2 has only two factors and those are 1 and 2 so it's prime.

Similarly, 7 is also a prime number because it has only two factors

and these are 1 and the number itself which is 7.

Answer:

A number that is only divisible by itself and 1

Step-by-step explanation:

Three black beads, two red beads, and a yellow bead are arranged in a line. What is the probability that no black bead is adjacent to the yellow bead?

Answers

Answer:

Probability of no black bead is adjacent to the yellow bead is = 0.966

Step-by-step explanation:

First to arrange all the beads without restrictions = 6! = 720

Probability the black bead is adjacent to Yellow bead = 4!/6! = 24 /720

= 0.0333

Probability of no black bead is adjacent to the yellow bead is

= 1- Probability the black bead is adjacent to Yellow bead

= 1-0.033

= 0.966

Sound travels about 750 miles per hour. If you stand in a canyon and sound a horn, you will hear an echo.

Suppose it takes about 0.5 seconds to hear the echo. How far away is the canyon wall, in feet?
feet

Now let's generalize that result. Suppose it takes n seconds to hear the echo. How far away is the canyon wall, in terms of n?

Answers

Answer:

The sound takes time to go to a point and reflect back to your position.

It means the sound went twice a distance.

=> Suppose it takes about 0.5 seconds to hear the echo, the canyon wall would be [750 x (0.5/3600)]/2 = 0.052 miles

=> Suppose it takes about n seconds to hear the echo, the canyon wall would be [750 x (n/3600)]/2 miles

Hope this helps!

:)

The distance the canyon wall is away is 33000 feet.

The distance the canyon is away in terms of n is 66000n feet.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Speed = 750 miles per hour

Time = 0.5 seconds

Distance = Speed x Time

Now,

1 mile = 5280 feet

750 miles = 3960000 feet

1 hour = 60 seconds

So,

Speed = (3960000/60) feet per second

Distance = 66000 x 0.5 feet = 33000 feet

This means,

The canyon wall is 33000 feet away.

Now,

For n seconds,

The canyon wall is 66000n feet away.

Thus,

The canyon wall is 33000 feet away.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

what are the steps for using integar tiles to evaluate the expression 45 divided by 15

Answers

Answer:

1. Gather 45 tiles

2. Split them up into groups of 15. Your answer will be the amount of piles you  end up with. Hope this helps!

How many fish a are in the box

Answers

Answer:

Where is the box?

Step-by-step explanation:

So I can help you

Question 11 of 15

Micah is filling up his cone-shaped cup with water. The cup (as shown) has a diameter of 72 millimeters and a slant height of 45

millimeters. How much water can Micah fill in his cup?

Answers

Answer:

  36.644 mL . . . . depending on your value of π (see below)

Step-by-step explanation:

The height of Micah's cup is found from the radius and slant height. The radius is half the diameter, so is 36 mm. Then the height h is ...

  45² = 36² +h²

  h = √(45² -36²) = 27 . . . . . mm

The volume is given by the formula ...

  V = (1/3)πr²h

  V = (1/3)π(36 mm)²(27 mm) = 11664π mm³

For π = 3.14

  11664(3.14) mm³ ≈ 36,625 mm³ = 36.625 mL

For π = 3.14159265

  11665π mm³ = 36,644 mm³ = 36.644 mL

_____

Comment on units

A unit of measure used for relatively small volumes, especially of liquid, is milliliters (mL). 1 mL = 1000 mm³.

Answer:

The answer is 11664pimm^3

Step-by-step explanation:

Solve for a given 2e^a =4b

Answers

Answer:

a = ln (2b)

Step-by-step explanation:

2e^a =4b

Divide each side by 2

2/2 e^a =4/2b

e^a = 2b

Take the natural log of each side

ln(e^a) = ln(2b)

a = ln (2b)

What’s the correct answer for this?

Answers

Answer:

C

Step-by-step explanation:

HJN IS SIMILAR TO PQN

The angle of elevation from the top of a building to the top of another is 45°.
The distance between the feet of these two buildings is 402 m.
What is the distance between the top of the two buildings?

Answers

Answer:

402m

Step-by-step explanation:

Set this up as a triangle and use trig to solve it:

tan(45) = y/402

y = 402*tan(45)

substitute: tan(45) = 1

y = 402 * 1

y = 402m

Need help. not in college

Answers

The length of ab is 24

What is the circumference of the following circle?
9 cm

Answers

Answer:

9π or 28.27 cm

Step-by-step explanation:

The circumference formula is 2πr or dπ. The diameter is 9 cm so we multiply 9 with pi to get the answer.

The value of the circumference of the given circle is 9π cm OR 28.278 cm

Calculating circumference of a circle

From the question, we are to determine the circumference of the circle.

The circumference of a circle can be calculated by using the formula,

C = πd

Where C is the circumference of the circle

and d is the diameter

From the diagram,

d = 9 cm

Therefore,

Circumference of the circle = π × 9

Take π = 3.142

Then,

Circumference of the circle = 28.278 cm

Hence, the value of the circumference of the given circle is 9π cm OR 28.278 cm

Learn more on Calculating circumference of a circle here: https://brainly.com/question/12823137

A University of Florida economist conducted a study of Virginia elementary school lunch menus. During the state-mandated testing period, school lunches averaged 863 calories. The economist claims that after the testing period ends, the average caloric content of Virginia School lunches drops significantly.

Set up the null and alternative hypotheses to test the economist’s claim.

Answers

Answer:

Null hypothesis: u = 863

Alternate hypothesis (H1): u < 863

Step-by-step explanation:

a. Null hypothesis: u = 863

The null hypothesis implies that the average caloric content of Virginia School lunches is equal to 863.

b. Alternate hypothesis: u < 863

The alternate hypothesis implies that the average caloric content of Virginia School lunches is less than 863, that is, it drops significantly.

B(4,8) and C(8,0) are the endpoints of a line segment. What is the midpoint M of that line
segment?
Write the coordinates as decimals or integers.

Answers

Answer:

(6,4)

Step-by-step explanation:

I just did quick math in my head.

Can a triangle have died of the lengths 2 yd, 9yd and 10 yd?

Answers

Answer:

No it does not work because 85 does not equal 100.

Step-by-step explanation:

so you would try the formula a2+b2=c2

2^2+9^2=10^2

4+81=100

85=100

No it does not work because 85 does not equal 100.

Answer:

Answer:C. 4 m, 3 m, 4 m, 4 m

Step-by-step explanation:

the sides in a parallelogram need to be equal to the opposite side making them the same length.

A parallelogram is a quadrilateral in which the opposite sides are parallel. The opposite sides and opposite angles are also equal.

Looking at the given options,

A) the opposite sides are equal to 2 yards. Therefore, it is a parallelogram.

B) the opposite sides are equal to 2cm and 3cm each. Therefore, it is a parallelogram.

C)A pair of opposite sides is equal to 4 cm and the other pair of opposite sides is unequal because one side is 3m and the other is 4 m. Therefore, it is not a parallelogram.

D) the opposite sides are equal to 5 in and 3 in each. Therefore, it is a parallelogram.

Hope this helps!!!


brainliest quick!

Aiden wanted to model -15 + 15 = 0 on the number line. He first drew an arrow 15 units long starting from zero that pointed to the left. He then draws another arrow 15 units long starting from zero that points to the right. What error did Aiden make?
A. The first arrow he drew should have pointed to the right to represent -15.
B. The second arrow he drew should have pointed to the left to represent 15.
C. The first arrow he drew should have started at -15 instead of 0.
D. The second arrow he drew should have started at -15 instead of 0.

Answers

Answer:

c

Step-by-step explanation:

Answer:

it's D

Step-by-step explanation:

The number never goes over 0 so there is no need to put anything above 0

What is the sum in simplest form I ready diagnostic please hurry

Answers

example:

The value of x is 22

Step-by-step explanation:

We are given that there are two numbers

First number is x

second number is 35

The sum of x and 35 is 57

so, we get equation as

now, we can solve solve x

So, subtract both sides by 35

faz um bom tempo que não faço expressões numéricas,vcs podem me ajudar!

Answers

Answer:

English Plz

Step-by-step explanation:

What is the volume of a sphere with a diameter of 6 m, rounded to the nearest tenth of a cubic meter?

Answers

Answer:113 cubic meter

Step-by-step explanation:

Diameter=6

Radius=r=6/2

Radius=r=3

π=3.14

Volume of sphere=4/3 x π x r x r x r

Volume of sphere=4/3 x 3.14 x 3 x 3 x 3

Volume of sphere=(4x3.14x3x3x3) ➗ 3

Volume of sphere=339.12 ➗ 3

Volume of sphere=113.04

Volume of sphere =113 cubic meter

Complete A and B for 5-8 points.

Answers

Answer:

a) 4 hours

b) 11 am

Step-by-step explanation:

So say the number of hours is x

a) 72 + 6x = 96

6x = 24

x = 4

b) 7am + 4 hours = 11am

−5y=−5
7x+6y=7

Is (5,1) a solution of the system

Answers

Answer:no, (5,1) is not a solution for the equation. (1/7,1) will be a solution for the equation.

Step-by-step explanation:

one way to do it is to plug 1 as the y-value into the first equation which does work but when you plug 5 as the x-value and 1 as the y-value in the second equation, it will get you to 41 which does not match so it will not be an equation. the other way to check is to solve by substitution which for the first equation, you divide both side by -5 and get y=1 then substitute y with 1 in the second equation and subtract both side by 6 and get 7x=1 and divide both side by 7 to get 1/7. the y-value match but the x-value don't so (5,1) is not a solution.


How many unique ways are there to arrange the letters in the word PRIOR?

Answers

Answer:

60

Step-by-step explanation:

Answer:

it is 60

Step-by-step explanation:

A family plan to catch a ferry and need to book in at 12:02 am. The journey to the ferry port will take 2 hours 45 minutes. What time should they leave home in order to get to the ferry port on time?

Answers

Answer:

DEEZNUUTZZZ

Step-by-step explanation:

Other Questions
Stefani Company has gathered the following information about its product. Direct materials: Each unit of product contains 3.90 pounds of materials. The average waste and spoilage per unit produced under normal conditions is 1.10 pounds. Materials cost $4 per pound, but Stefani always takes the 2.00% cash discount all of its suppliers offer. Freight costs average $0.40 per pound. Direct labor. Each unit requires 1.60 hours of labor. Setup, cleanup, and downtime average 0.10 hours per unit. The average hourly pay rate of Stefanis employees is $10.90. Payroll taxes and fringe benefits are an additional $3.20 per hour. Manufacturing overhead. Overhead is applied at a rate of $7.60 per direct labor hour. Compute Stefanis total standard cost per unit Aquatic Equipment Corporation decided to switch from the LIFO method of costing inventories to the FIFO method at the beginning of 2021. The inventory as reported at the end of 2020 using LIFO would have been $59,000 higher using FIFO. Retained earnings at the end of 2020 was reported as $770,000 (reflecting the LIFO method). The tax rate is 35%. Required: 1. Calculate the balance in retained earnings at the time of the change (beginning of 2021) as it would have been reported if FIFO had been used in prior years. 2. Prepare the journal entry at the beginning of 2021 to record the change in accounting principle. .5.0 mg of radioactive nobelium-253 was removed from the reactor to beused in an experiment. It took 291 seconds (just under 5 minutes) toget the sample from the reactor to the laboratory. How many milligramsof nobelium-253 remained upon arrival to the laboratory? The half-lifeof nobelium-253 is 97 seconds. In what media is motion design used? And why? Find the volume of a cylinder when the radius is 9 cm and the length is 20 cm Read the quotation by Dorothea Lange about the photo "Migrant Mothertrom ars of DustI saw and approached the hungry and desperate mother, as it drawn by a magnetI do not remember how I explained my presence or my camera to her, but I doremember she asked me no questions I did not ask her name of history Shetold me her ago, that she was thirty wo She said that they had been living onfrozen vegetables from the surrounding telds, and birds that the children hadkilled She had just sold the tires from her car to buy food. There she satin thatloan to tont with her children huddled around her, and seemed to know that mypictures might help her, and so she helped me. There was a sort of equality aboutNow,read an excerpt about the photo from Years of DustLange, the children recalled, had promised not to publish the photo, but had doneexactly that it appeared on March 10, 1936, in the San Francisco News, aboveFirst Lady Deanor Roosevelt's weekly "My Day" column Thompson saw thepicture and felt betrayed for the rest of her life, she resented Lange's use of herimage for publicity Thompson was an active woman, who had helped organizetarmworkers' unions "She was a very strong woman," said daughter Katherine,seen in the photo by her mother's right shoulder "She was a leader I think that'sone of the reasons she resented the photo because it didn't show her in thatlightHow do these two accounts differ?A.Lange describes a situation that is more lighthearted than the true circumstances that Thompson's daughter explainsB.Thompson's daughter describes a situation that is more desperate than the true circumstances that lange explainsC.Thompson's daughter describes a situation that is more lighthearted than the true circumstances that Lange explainsD.Lange describes a situation that is more desperate than the true circumstances that Thompson's daughter explains. PLEASE HELP ME ASAP WILL GIVE BRAINLIEST. The ratio of the leg opposite to an angle to the hypotenuse of a right triangle iscalled the ____ of the angle.A. sineB. secantC. cosineD. cosecant Greece's main military enemy was A. PersiaB. the Delian LeagueC. MacedoniaD. SpartaE. Roman Empire What Le Chateliers factors cause an increase in the concentration of Hb(CO)4(aq) in the Hb(CO)4(aq) + 4O2(g)Hb(O2)4(aq) + 4CO(g) Solve 20x = 10 for x. A.x = 1/2 B.x = 1.5 C.x = 2 D.x = 10 you can choose more than 1 The most serious and most common sentence errors are _____.1. 2. 3. solve |-4|/|-4| please help a sea route sought by European explorers thatwould link the Atlantic Ocean with the Pacific Oceana time of major economic changes in Europe,marked by the growth of mercantilism and capitalismthe exchange of goods, animals, anddiseases between Europe and the AmericasColumbian Exchangecommercial revolutionNorthwest Passage Can someone help me and show how to write the perimeter equation to find x.50 points. Answer part b. for full 70 points The "Jupiter Bar" is a candy bar that is only manufactured and sold in one size. Tens of thousands of bars are manufactured every day. Nutritional content appears on the bar's wrapper, including a statement that a given bar has a sodium content of 96 milligrams. Due to variability inherent in all manufacturing, we know that some bars would have slightly less than 96 milligrams of sodium and some bars would have more than 96 milligrams of sodium even if the value of "96 milligrams" appears on the wrapper. However, there is a concern that the average sodium content in all Jupiter Bars is actually more than 96 milligrams, and we have been asked to investigate.Below are the sodium measurements (in milligrams) from a sample of 20 Jupiter Bars:88 93 99 104 98 103 96 99 111 90 108 98 101 112 104 102105 101 95 104Summary statistics: n = 20 sample mean = 100.55 sample standard deviation = 6.304 Q = 97: median = 101: Q3 = 104a) Test whether the sample provides evidence at the 5% level of significance that the average sodium content in all Jupiter Bars is actually more than 96 milligrams. The average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2. Three scores extracted from the test are; 148, 102, 152. What is the average of the extracted scores that are extreme values (outliers)? Jenny is 34 years old. Two years ago, she was twice as old as her cousin. How old is her cousin now? PLEASE HELP!!!I don't understand....If possible, please explain!