At 94°F, a certain insect chirps at a rate of 60 times per minute, and at 96°F, they chirp 66 times per minute. Write an equation in slope-intercept form that represents the situation.

Answers

Answer 1

Answer:

[tex] (x_1 = 94 , y_1 = 60)[/tex]

[tex] (x_2 =96 ,y_2 = 66)[/tex]

And we can estimate the slope with the following formula:

[tex] m =\frac{y_2 -y_1}{x_2 -x_1}= \frac{66-60}{96-94}=3[/tex]

And we can find the intercept using the first point given for example:

[tex] 60 = 3*94 +b[/tex]

And solving for b we got:

[tex] b = 60 -282 = -222[/tex]

And the model would be given by:

[tex] y = 3x -222[/tex]

Step-by-step explanation:

For this case we can assume that the interest is find an equation for the times per minute with the temperature. So then the independent variable (x) would be the temperature and the dependent (y) the times per minute. We want to adjust a linera model like this one:

[tex] y = mx +b[/tex]

We have the following info given:

[tex] (x_1 = 94 , y_1 = 60)[/tex]

[tex] (x_2 =96 ,y_2 = 66)[/tex]

And we can estimate the slope with the following formula:

[tex] m =\frac{y_2 -y_1}{x_2 -x_1}= \frac{66-60}{96-94}=3[/tex]

And we can find the intercept using the first point given for example:

[tex] 60 = 3*94 +b[/tex]

And solving for b we got:

[tex] b = 60 -282 = -222[/tex]

And the model would be given by:

[tex] y = 3x -222[/tex]

Answer 2

Answer:

Step-by-step explanation:

Let " x "  denotes the temperature in degree Fahrenheit .

Let  " y " denotes the chirp rate per minute .

We have given that at 94 degree Fahrenheit , chirp rate is 64 times per minute and at 96 degree Fahrenheit , it is 118 times per minute .

We write this information in coordinate form ( x,y) .

We have ( x₁ ,y₁)  = ( 94 , 60 )  and  ( x₂ , y₂) = ( 96,66) .

                        y₂   - y ₁                     66  -   60                  6

Slope , m  =  ----------------------  =    ---------------------  =     -----------

                         x₂  - x₁                        96   -  94                   2

          Slope , m =  6/2 = 3 .

Equation of line in slope intercept form is

y = m x + b  where  ' m' is slope and ' b ' is intercept .

Plug value of m  , we get

y = 3 x + b .

To find value of b , we put ( 94 , 60 ) in place of x and y .

Put x = 94 and y = 60 , we get

60 = 3 * 94 + b

60  = 282 + b

60 - 282 =  b

- 222 = b

Thus we get b = - 222 .

So the equation become

y = 3 x - 222 .

Equation in slope intercept form representing the situation isy = 3 x - 222

Related Questions

Sausages come in packets of 7. Bread rolls come in packets of 5. Dan wants to buy enough
packs of sausages and rolls so that there are an equal number of sausages and rolls. What is
the minimum number of sausages and rolls he needs to buy?

Answers

Answer:

5 packs of sausages

7 packs of rolls

Step-by-step explanation:

So the least common multiple of 5 and 7

That's 35

Dan needs to buy 5 packs of sausages and 7 packs of rolls.

Hey can anyone pls pls help me in dis math problem real quick!!!!!!

Answers

Answer:

1. 10.64

2. 6.45

Step-by-step explanation:

Hope this helps and can u mark me brainliest?

I'm a bit stuck, well uhhh you'll see. Please help!! is she 25 or 26 ? ? ?

Answers

Answer:

25 years old

Step-by-step explanation:

19+3=22

19+6=25

19+25+22=66

she is 25 years old

BC=
Round your answer to the nearest hundredth.
B
20°
?
A
4
с

Answers

Remember, SOH CAH TOA for the trigonometric functions. In this problem, we are given an angle, a side opposite that angle, and a side adjacent to that angle. So, we should use the tangent function to find the missing side.

tan(20) = 4 / x

tan(20)x = 4

x = 4 / tan(20)

x = 10.99 units

Hope this helps! :)

Answer:10.99

Step-by-step explanation:

A rectangles length is three more than twice the width. The perimeter of the rectangle is 72 units. Write a let statement that can be used to find the length and width of the rectangle. Write an equation that can be used to find the length and width of the rectangle. Solve the equation. What is the length of the rectangle? What is the width of the rectangle?

Answers

Answer:

The length is 25 units and the width is 11 units

Step-by-step explanation:

Let the length of the rectangle be l.

Let the width of the rectangle be w.

We are given that the length of the rectangle is three times more than twice its width. This means that:

l = 3 + 2w

The perimeter of a triangle is given as:

P = 2(l + w)

This implies that:

P = 2[(3 + 2w) + w]

P = 2(3 + 3w)

We can use this to find the width of the rectangle and then the length.

The perimeter of the rectangle is 72 units.

Therefore:

72 = 2(3 + 3w)

72 = 6 + 6w

=> 6w = 72 - 6 = 66

w = 66 / 6 = 11 units

The length, l, is therefore:

l = 3 + 2(11) = 3 + 22 = 25 units

easy geometric shapes questions help please! they go together

Answers

7.solution

v=4/3πr^3

=4/3π×6^3

=4/3×216cm^3π

=288cm^3π

8.solution

SA=4πr^2

=4×6^2π

=4×36cm^2π

=144cm^2π

Which is the rate of change for the interval between 2
and 6 on the x-axis?
-3
-1/3
1/3
3

Answers

Answer: 2 box plots. The number line goes from 0 to 20. For East Side Middle School Debate Wins, the whiskers range from 5 to 14, and the box ranges from 10 to 12. A line divides the box at 11. For West Side Middle School Debate Wins, the whiskers range from 3 to 14, and the box ranges from 8 to 12. A line divides the box at 9.

Which of these inferences about the two debate teams are true? Check all that apply.

West Side is more consistent at winning.

East Side is more consistent at winning.

East Side typically wins more debates per year than West Side.

West Side typically wins more debates per year than East Side.

These graphs do not contain enough information from which to draw inferences.

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Solve by factoring

6a^2=-23a-20

Answers

Answer:

x=[tex]\frac{-4}{3}[/tex] or x=[tex]\frac{-5}{2}[/tex] I suggest using the MathPapa or the Symbolab websites for more factoring problems.

how to find the mean median and mode for 6 5 6 7 6 6 7 4 6 7 7 6 7 7 7 4 7​

Answers

Answer:

the answer is 7 fiyfooutdt7odtudoutdup tiff 7tduptftucoutctuco7tc

Answer:

the medium is 7

Step-by-step explanation:

A 2-column table with 9 rows. The first column is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3. The second column is labeled f of x with entries negative 6, negative 2, 0, 4, 4, 0, negative 2, negative 6, negative 10. Based on the table, which best predicts the end behavior of the graph of f(x)? As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞. As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞. As x → ∞, f(x) → –∞, and as x → –∞, f(x) → ∞. As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞.

Answers

Answer:

As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞

Step-by-step explanation:

First, you need to graph all given points in the table, that way you will be able to determine the end behavior.

Remember, the end behavior of a function is the behavior of f(x) as x approaches to positive infinity and negative infinity.

So, based in the graph, we can say that as x approaches to positive infinity, f(x) approaches to negative infinity, and as x approaches to negative infinity, f(x) approaches to negative inifinity. In other words, in either case, f(x) always approaches to negative infinity.

Therefore, the right answer is the last choice.

Answer:

As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞

Step-by-step explanation:

Just took the test!!!

HELP!!! BRAINLIEST GETS 20+ POINTS!!!!!
Write 0.42525252525252525... as a fraction in simplest form

Answers

Answer:

17/40

17 over 40

A university lecturer has an annual salary of $60000. If this increases by 2% of the previous year each year, what will her salary be after 10 years.

Answers

Answer:

73,139.67

Step-by-step explanation:

help me with this question.thank u

Answers

Answer:

see below

Step-by-step explanation:

P( yellow) = number of yellow sections / total sections

                 = 4/20

                   1/5

                  20%

Answer:

a.

4 out of 20

1/5

or 20%

b.  The probability may not be as much as the other colors on the wheel depending on how many colors and how many sections of each. You have a 20% chance out of all colors to get the color yellow.

Apples are on sale for $1.49 per pound. What is the price for 2 1/2 pounds of apples? Express your answer in decimal form, and round your answer to the nearest hundredth.

PLS I NEeD THIS TO PASS PLEASE Please awnser

Answers

Answer:

Step-by-step explanation:

Price of one pound of apples = $1.49

∴Price of 2 and 1/2 pound of apples = [tex]2\frac{1}{2}[/tex] × [tex]1.49[/tex]

                                                            = 2.5 × 1.49

                                                            = 3.725

                                                            = $ 3.73

Hope this helps!!

Please mark as Brainliest!!

Answer:

$3.73

Step-by-step explanation:

Michael has soccer practice every other day, swimming practice every third day, and tennis lesson every 5th day. This Wednesday he had soccer, swimming, and tennis. a In how many days will Michael have all three sports at the same day again?

Answers

Answer:

30

Step-by-step explanation:

The LCM of 2,3,5 is the result of multiplying all prime factors the greatest number of times they occur in either number. The LCM of 2,3,5 is 2⋅3⋅5 = 30

Answer:

30

Step-by-step explanation:

Its that easy. I got the answer from online.

please help me i really need to pass.

Answers

The answer is B. Because X and Z are considered congruent.

About 450 manta rays are seen near lady Elliot island each year if you were to spot one manta ray at random what is the probability that it would be clouseau

Answers

Answer:

Probability that if a manta ray is spotted at random, it would be clouseau = Total number of Clouseau spotted each year) ÷(Total number of manta rays seen each year)

Step-by-step explanation:

The information given is not enough to determine the probability.

We need to know, how many Clouseau are seen each year, then we can find the desired probability.

The Parameters:

Total number of manta rays seen each year = 450

Probability that if a manta ray is spotted at random, it would be clouseau,

P = Total number of Clouseau spotted each year, C) ÷(Total number of manta rays seen each year, T)

P = C/T

P = C/450

Simplify the given expression, using only positive
exponents. Then complete the statements that
follow
(x²y3)-1 72
(x-2y+z)2
x60, y#0, 2*0.
?
The exponent on x is
The exponent on y is
The exponent on z is

Answers

Answer: x=4 y=14 z=4

Step-by-step explanation:

On edge it is that

The required exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.

What is simplification?

Using math and algebraic principles, simplification entails removing pointless variables, factors, or operations from an expression. Getting an expression that is simpler to use, manipulate, or solve is the aim. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property.

Here,
To simplify the given expression, we need to use the rules of exponents:

= [(x²y³)⁻¹ / (x⁻²y²z)²]²

= [(1 / x²y³) / (x⁻⁴y⁴z²)]²

= [(1 / x²y³) * (x⁴ / y⁴z²]²

= x⁴ / y¹⁴z⁴

Therefore, the exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ7

HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Answer BOTH of them plz

Answers

1. 8.50h = m

2.


4 34
5 42.50
6 51
7 59.50

Solve for the measure of x in the following diagram

Answers

X=60
F+c is replicant to the angel that is 30 degrees and BFC makes 90 degrees 90-30=60

How would I write out,10 times a number increased by four is no more than 25 as an inequality?

Answers

Answer:

10x + 4 [tex]\geq[/tex] 25

PLEASE HELP!! WILL GIVE BRAINLIEST IF RIGHT

An account earns annual simple interest, Find the interest earned, principal, interest rate, or time.
Interest earned: ?
Principal: $1250
Interest rate: 3%
Time: 4 years

Answers

Answer:

:

I think I know how to solve this. You are trying to find the interest earned.

Step-by-step explanation:

you take the interest rate and convert into a percentage. 3%=0.03You divide that decimal by 100. 0.03/100=0.003Take this number and multiply by the time. 0.0003x4=0.0012You then finally multiply that number by the principle and you have your answer. 0.0012x1250=1.5 percent

Answer:

t says or, so you can answer any however the answer to time would be 4 years or so

Step-by-step explanation:

10x5 = 50

50x50 = 2500

2500x.4= 1000

1000/250=4

4

Step-by-step explanation:

What is b and what is c in degrees?

Answers

Answer:

c is 90 degrees and b is 10 degrees hope its right

Step-by-step explanation:

Hi can you please help me

Answers

These questions are some teacher's hairbrained idea that we can keep the students current on algebra while learning geometry.  While there are many ways to combine algebra and geometry, this way is awful.

Triangle angles add to 180 degrees. Geometry done.

Equation that models ...:

2x + 5 + 3x + 7 + 2x = 180

Solving,

7x + 12 = 180

7x = 168

x = 168/7 = 24

Answer: x=24

A=2x+5=2(24)+5= 53°

B = 3x+7 = 3(24) + 7 = 79°

C = 2x = 48°

Answer: A=53°, B=79°, C=48°

30 POINTS!!! NEED HELP!!!!
Write the expansion for the series described by the summation notation. *
Captionless Image
a) 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100+ 121 + 144
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
c) 16 + 9 + 5 + 0 + 1 + 4 + 25 + 25 + 36 + 49 + 64 + 81 + 100 + 121
d) None of the above

Answers

Answer:

b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121

Step-by-step explanation:

[tex] \Sigma_{k=1}^{16} (k - 5)^2 \\

= (1- 5)^2 + (2- 5)^2 + (3- 5)^2 + \\ (4- 5)^2 + (5- 5)^2 + (6- 5)^2 \\+ (7- 5)^2 + (8- 5)^2 + (9- 5)^2 \\+ (10- 5)^2 + (11- 5)^2 + (12- 5)^2 \\+ (13- 5)^2 + (14- 5)^2 + (15- 5)^2\\ + (16- 5)^2 \\\\

=(-4)^2 + (-3)^2 + (-2)^2 + (-1)^2 + (0)^2 \\+ (1)^2 + (2)^2 + (3)^2 + (4)^2 + (5)^2 \\+ (6)^2 + (7)^2 + (8)^2 + (9)^2 + (10)^2 + \\ (11)^2 \\\\

=16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 \\+ 36 + 49+ 64 + 81 + 100 + 121[/tex]

Given parallelogram ABCD, m\angle A=5x+18 and m\angle B=3x-6 find find m\ C

Answers

Answer:

57

Step-by-step explanation:

Firstly, we will need to calculate what x is.

To calculate this, the important property of the parallelogram to use is that adjacent angles are supplementary.

This means A and B are supplementary while B and C are also supplementary

what we are trying to say is that they add up to be 180

Thus,

5x + 18 + 3x -6 = 180

8x +12 = 180

8x = 180-12

8x = 168

x = 168/8

x = 21

Thus, the measure of angle B is 3x-6 = 3(21) -6 = 63-6 = 57

Now, another important property of parallelograms is that opposite angles are equal. This means that angle B= C = 57

The music teacher has a list of 128 students who have signed up for music classes. The music teacher can register 6 students in each class. What is the least number of classes needed for all the students to be registered in a class?

Answers

Answer:

24

Step-by-step explanation:

Divide 128 by 6 and get 23.3 but the .3 you need an extra class to fit the .3 in so add one class.

The square root of 83 can be platted on the number line below

Answers

The answer is some number between 9 and 10.
Explanation:
√83
is an irrational number. You won't be able to simplify it any further either, since it doesn't have any perfect square factors.
However, you will be able to tell between which two numbers it lies in.
9^2 is 81 and 10^2 is 100
. Therefore, you can say that a certain number between 9 and 10 is 83 when squared.
If you're looking for an exact answer, then it will be 9.11043357914... (I got that using a calculator).

Answer:

Step-by-step explanation:

June and the total of 4/6 hour on her math and reading homework which pair of models could show the amount of time in hours she spends on each subject

Answers

Answer:

2/3

Step-by-step explanation:

Someone please help me

Answers

C, D, and E are most likely to be right. Its either all of them, one of them, or two of them. A is impossible to use in the equation and if you use b, you get 45.5.

Other Questions
1. Match the following terms with their descriptions.1. isthmus2. maize3. sinkhole4. hogan Mi madre se pasaba las horas muertas en la galera del cuarto de atrs, metiendo tesorosen el bal de hojalata, y no acierta a entender si el tiempo se le iba deprisa o despacio, nia decir cmo lo distribua, slo sabe que no se aburra nada y que all ley Los tresmosqueteros. Le encantaba, desde pequea, leer y jugar a juegos de chicos, y hubieraquerido estudiar una carrera, como sus dos hermanos varones, pero entonces no eracostumbre, ni siquiera se le pas por la cabeza pedirlo. Me dio a leer, cuando yo hacabachillerato, una novela que se titulaba El amor catedrtico, la historia de una chica quese atreve a estudiar una carrera y acaba enamorndose y casndose con l, a m el finalme defraud un poco, no me qued muy convencida de que la chica esa hubiera acertadocasndose con un hombre mucho ms viejo que ella y manitico por aadidura, aparte deque pens: para ese viajes no necesitbamos alforjas, tanto ilusionarse con los estudiosy desafiar a la sociedad que le impeda a una mujer realizarlos, para luego salir por ah,en plan happy end, que a saber si sera o no tan happy, porque aquella chica se tuvo quesentir decepcionada tarde o temprano; adems, por qu tenan que acabar todas lasnovelas cuando se casa la gente?, a m me gustaba todo el proceso del enamoramiento,los obstculos, las lgrimas y los malentendidos, los besos a la luz de la luna, pero a partirde la boda, pareca que no haba nada ms que contar, como si la vida se hubieraterminado: pocas novelas o pelculas se atrevan a ir ms all y a decirnos en qu seconverta aquel amor despus de que los novios se juraban ante el altar amor eterno, yeso, la verdad, me daba mala espina. C. Martn Gaite, El cuarto de atrs, 19781.- Identifique las ideas del texto y exponga esquemticamente su organizacin. (1.5 puntos).2.- Explique la intencin comunicativa del autor (0,5 puntos) y comente dos mecanismos decohesin distintos que refuercen la coherencia textual. (1 punto) Review the paragraph that begins at the bottom of page 2 and continues on page 3. Which of the following shows the proper Order of a food chain? Grab Manufacturing Co. purchased a 10-ton draw press at a cost of $183,000 with terms of 4/15, n/45. Payment was made within the discount period. Shipping costs were $4,300, which included $270 for insurance in transit. Installation costs totaled $12,900, which included $3,700 for taking out a section of a wall and rebuilding it because the press was too large for the doorway. The capitalized cost of the 10-ton draw press is: Multiple Choice $192,880. $190,880. $196,380. $197,880. What was the main purpose for establishing the United Nations in 1945 We can consider the case where wine producers in Chile ask the government to tax imported wines from France with a tax. They consider that this tax would increase both the State's tax revenue and employment in the Chilean wine industry. What kind of economic argument is this in relation to international trade? Do you agree or not with the argument presented by wine producers in Chile? If the state government adopts this position, does it consider it to be good economic policy or not? Briefly explain your answers using the concepts of international trade discussed in your Textbook. A celebrity called Wayne East has been having some money problems recently. He is thinking of investing in the greatest record in the world, and wants to know how the value will change over time. He has an exponential regression model where his predictor is time in months, and response variable is money, measured in thousands of dollars. The alpha value is 4.2, and beta is 1.03. Based on this model, how much money (in thousands) will he have after six months Calculate the FV for the following 3 scenarios. Investment scenario #1:You invest $1,000 (PV) for 10 years (n) at an interest rate of 5% (r). What is the amount you would receive atthe end of 10 years (FV)?Investment scenario #2:You invest $5,000 (PV) for 20 years (n) at an interest rate of 8% (r). What is the amount you would receive atthe end of 20 years (FV)?Investment scenario #3:You invest $10,000 (PV) for 30 years (n) at an interest rate of 12% (r). What is the amount you would receiveat the end of 30 years (FV)?PLEASE ANSWER WITH WORK SHOWN :) i need your help please asap Which of the following best describes why slavery developed in the North American colonles?Select the best answer from the choices provided.A. Unlike indentured servants, enslaved African Americans did not need to be replaced constantly.B.Unlike Indentured servants, enslavers could legally treat enslaved African Americans any way they wanted to.C.There was a steadier supply of enslaved Africans than there was of Indentured servants.D.All answers are correct. On March 15, American Eagle declares a quarterly cash dividend of $0.045 per share payable on April 13 to all stockholders of record on March 30. Required: Record American Eagle's declaration and payment of cash dividends for its 226 million shares. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field. Enter your answers in dollars, not in millions (i.e. $5.5 should be entered as 5,500,000).) Abigail admits to John Proctor that she and the other girls were simply dancing in the woods, with no intention of witchcraft. She explains that Betty fainted afterwards because she was frightened by her uncle. Since it is clear that the witchcraft here is not real, what do you think that Bettys fainting symbolizes in the overall plot? which element of the compromise of 1850 could be considered a "win" by both northerners and southerners. Solve for x HELPP PLEASEE20 points! ______ are the things we are required to do as citizens.options:responsibilitiesoptionsexemptionsduties This is the way a letter or a word sounds when spoken. The Mystery InfectionA worried mom runs her six-year-old son into a crowded ER. She carries him in her arms, because his fever has left him weak and too tired to walk. After hes checked in, the nurse takes his vital signs. The young boy answers some questions about how hes feeling, but he leaves most of the details to his mother to answer. She fills in details about what her son has experienced over the past few days. The information provided is organized into medical files that the medical team will review. Review the patients medical file and highlight information you feel is important in helping the little boy. Think about what symptoms he experienced as well as other clues that may help you figure out why he is so sick (highlight)----------------------------------------------------Medical FilePatient's Name Patient 1 Age 6 Temperature 103.5FDate Jan. 17 Blood Pressure 90/72Height 48 in. Pulse 90 bpmWeight 55 lbs. Respiratory Rate 23 bpmCase NotesPatient is a previously healthy six-year-old boy. He says he is hot and tired and points to his chest when asked what hurts. His mother reports that he came home from school five days ago with what she thought was a cold, but the symptoms have only gotten worse. He has had a constant fever over the past few days and complained of being cold. He has a dry cough that seems to get worse at night. His mother reports episodes where it feels like he is really struggling to breathe.The patient is extremely weak and his mom says that he is sleeping 1214 hours a day. She has been giving him over-the-counter medications, but they dont seem to have helped his fever or his pain and discomfort. He is drinking plenty of water and eating small meals.Other than school and soccer practice, the patient has not been around other large groups and has not traveled. The mother said she had not heard of anything going around school, but she did note that two of his teammates were coughing at the practice they had a week ago. Physical Exam Patient has a mild ear infection in both ears. There are no spots or lesions in the mouth or throat. There is no rash on the body. Patient does not appear to be congested and does not have a runny nose. Patient has wheezing and rapid breathing. Patients speech and vision appear normal. The infection in the ears does seem to be causing slight hearing loss.What does he have? Uta invests an amount into a compound interest investment account that pays 6% a year. After six years, she withdraws hertotal balance of $500. Using the formula A - P(1 + r), how much money did Uta initially invest?$180.00$320.00$352.48$471.70 sandra cut her sandwich into 3 equal parts. she ate 1 part for lunch. what fraction of the sandwich did sandra eat for lunch?