When it is about 68°F, crickets chirp 124 times a minute. When it is about 80°F, they chirp 172 times a minute. WRITE an equation in POINT SLOPE FORM for the line that models this situation.

Answers

Answer 1

Answer:

4x+148

Step-by-step explanation:

Let the temperature be x and time taken by cricket to chirp be y

if when it is about 68°F, crickets chirp 124 times a minute, this means;

at x1 = 68, y1 = 124

If it is about 80°F, they chirp 172 times a minute, then;

at x2 = 80, y2 = 172

The standard form of equation in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line.

First we need to get the slope.

m = y2-y1/x2-x1

m = 172-124/80-68

m = 48/12

m =4

Substitute m = 4 and any point into the expression above. Using the coordinate (68, 124)

get the intercept c

124 = 4(68) + c

c = 272-124

c = 148

The required equation is expressed as y = 4x+148 OR y - 124 = 4(x-68)


Related Questions

Please help me i'm not very good at math :))

Answers

Answer: (1, 5)

Explanation:

You really just have to input all the variables into the inequality and see if it is accurate.

(2, 4)

4 > 2(2)     4 > 4  no, it is equal to, not greater than

4 > 3         yes

(0, 3)

3 > 2(0)     3 > 0  yes

3 > 3         no, again, equal to

(4, 6)

6 > 2(4)    6 > 8 no

6 > 3         yes

(1, 5)

5 > 2(1)   5 > 2 yes

5 > 3                yes

5(x-24)+2x+3. What is the answer to this?

Answers

Answer:

7x-117

Step-by-step explanation:

1. Distribute the 5 to the terms in parentheses.

5x-120+2x+3

2. Combine like terms.

7x-117

SOLUTION..............
7x−177

Use the remainder theorem to determine the remainder. Then use the remainder to determine if the binomial is the factor of a polynomial. f(x) = x^3 + x^2 - 66x + 54 is divided by x + 9.
a. Remainder: 0; not a factor
b. Remainder: 0; yes a factor
c. Remainder: 270; not a factor
d. Reaminder:270; yes a factor

Answers

Answer:

b

Step-by-step explanation:

f(x) = x³ + x² - 66x + 54

= (x² - 8x + 6)(x + 9) + 0

=> the answer is b

Answer:

b

Step-by-step explanation:

If (x + h) is a divisor of f(x) then f(- h) = remainder

If f(- h) = 0 then (x + h) is a factor of f(x)

Here divisor is (x + 9) , then

f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54

        = - 729 + 81 + 594 + 54

        = 0

Thus remainder is 0 and (x + 9) is a factor of f(x)

Linda was selling tickets to the school play. She sold 10 more adult tickets than children’s tickets and sold twice as many senior tickets as children’s tickets. If she sold 218 tickets, how many were adult tickets

Answers

Answer:

Totals can change but the pattern remains the same: Linda sold 40 Senior's Tickets, 30 Adult's Tickets, and 20 Children’s Tickets, for a total of 90 tickets sold.

Step-by-step explanation:

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Help please, thank you

Answers

The angle that corresponds to B is N.



Explanation:

You just look at where it is in the angle description. B is second so whatever letter that’s second in the corresponding angle is the correct answer.

Answer:

Left you a little something to visualize the question

A house is purchased for $300,000 and its value appreciates by 2.75% per year.In how many years will the house be worth $375,000?

Answers

Answer:

In 9.09 years

Step-by-step explanation:

In about 9 years, the house would be worth $375,000.

An exponential growth is in the form:

y = abˣ;

where y, x are variables, a is the initial value of y and b is > 1

Let y represent the price of the house after x years.

Since it has a value of $300000 initially, hence a = $300000. Also it appreciates by 2.75% per year, hence b = 100% + 2.75% = 1.0275. Hence:

y = 300000(1.0275)ˣ

For the house to be worth $375,000:

375000 = 300000(1.0275)ˣ

1.25 = (1.0275)ˣ

xln(1.0275) = ln(1.25)

x = 8.2 years

In about 9 years, the house would be worth $375,000.

Find out more at: https://brainly.com/question/21556103

rationalise the denominator of (6+root3)(6-root3) over root33

Answers

Answer:

√33

Step-by-step explanation:

In the image .

The expression (6 + √3) (6 - √3) / √33 upon  rationalizing the denominator gives √33.

What is Square Root?

Square root of a number is the value such that upon multiplying the value by itself twice gives the original number.

The given expression is (6 + √3) (6 - √3) / √33

We have the identity,

(a + b) (a - b) = a² - b²

∴ (6 + √3) (6 - √3) / 33 = 6² - (√3)² / √33

                                     = (36 - 3) / √33

                                     = 33 /√33

Multiplying numerator and denominator by √33,

(6 + √3) (6 - √3) / 33 = (33 × √33)  / (√33 × √33)

                                   = 33√33 / 33

                                   = √33

Hence upon rationalizing the denominator in the expression (6 + √3) (6 - √3) / 33 yields √33.

To learn more about Square Roots, click on the link below:

https://brainly.com/question/3120622

#SPJ2

Bill's Bargains sells 16 ounces of Circle O's cereal for $3.36. Debbie's Deals sells 40 ounces of Circle O's cereal for $7.60. Which store as the better deal?

Answers

Answer:

Debbie's Deals has the better deal with a price of $0.19 per ounce compared to Bill's Bargains at $0.21 per ounce.

Step-by-step explanation:

Divide $3.36 by 16 = $0.21

Divide $7.60 by 40 = $0.19

Debbie's Deals sells the Circle O's cereal for a cheaper per ounce price thus it's the better price and the better deal.

Good luck!

2. Find the smallest number by which each of the following numbers must be multipliet
to obtain a perfect cube.
(i) 243
(ii) 256
(m) 72
(iv) 675
(v) 100
3. Find the smallest number by which each of the following numbers must be divided to
obtain a perfect cube.
(i) 81
(i) 128
(iii) 135
(iv) 192
(v) 704

Answers

Answer:

Step-by-step explanation:

Will give brianlyest pls help

Answers

Answer:

Help with what?

What do you need help with??

A car uses 1 2/5 gallons of gasoline to travel 50 3/4 miles. How far can the car travel, in miles, on 1 gallon of gasoline?

Answers

Answer:

30 9/20

Step-by-step explanation:

(50 3/4)-((2/5) x (50 3/4)

=30.45

=30.45/1

=30.45/1 x 100/100

=3045/100

=3045÷5/100÷5

=30 9/20

30.45= 30 9/20

Hope this helps have a good day.

Answer:

your answer choices are here 4/145, 8/15, 36 1/4, or 71 1/20

Step-by-step explanation:

Suppose y varies directly as x Write a direct variation
equation that relates x and y. Then solve.

if y=15 when x=2, find y when x=8

Answers

Answer:

y=7.5x, y=60

Step-by-step explanation:

you have to consider x as the input and y as output

when input  x=2 the output  y=15  so it grew by 7.5 so we can say that y= 2*7.5

in general the equation is y= 7.5*x

when x=8 we will have y=7.5*8=60

Write the equation of the line that passes through the points (8, -4) and (-2,5).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

The equation in the slope-intercept form will be:

Step-by-step explanation:

Given the points

(8, -4) and (-2, 5)

The slope between two points

[tex]m=\frac{5-\left(-4\right)}{-2-8}[/tex]

[tex]m=-\frac{9}{10}[/tex]

As the point-slope form is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = -9/10 and (8, -4)

[tex]y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)[/tex]

Writing the line equation in the slope-intercept form

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

where m is the slope and b is the y-intercept

so the equation in the slope-intercept form will be:

[tex]y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)[/tex]

[tex]y+4=-\frac{9}{10}\left(x-8\right)[/tex]

subtract 4 from both sides

[tex]y+4-4=-\frac{9}{10}\left(x-8\right)-4[/tex]

[tex]y=-\frac{9}{10}x+\frac{16}{5}[/tex]

Therefore, the equation in the slope-intercept form will be:

[tex]y=-\frac{9}{10}x+\frac{16}{5}[/tex]

What is the y intercept y=-4-3/2x

Answers

Answer:

should be -4

Step-by-step explanation:

My production line creates 3 different widgets. Widget A sells for $12. Widget B sells for $18. Widget C sells for $35. I made a total revenue of $1735 yesterday. I sold a total of 70 widgets. The number of C widgets sold is equal to the total number A and B sold. How many of each type of widgets did I sell?

Answers

9514 1404 393

Answer:

20 A widgets15 B widgets35 C widgets

Step-by-step explanation:

Half the widgets sold were $35 widgets, so the revenue from them was ...

  (70/2)($35) = $1225

This means the remaining $1735 -1225 = $510 in revenue came from the sale of a total of 35 A and B widgets.

If we let 'b' represent the number of B widgets sold, then the revenue is ...

  12(35 -b) + 18b = 510

  6b +420 = 510

  6b = 90

  b = 15 . . . . . . . number of B widgets sold

  35 -b = 20 . . . number of A widgets sold

20 A widgets, 15 B widgets, and 35 C widgets were sold.

__

Check

Total revenue was 20(12) +15(18) +35(35) = 240 +270 +1225 = 1735.

Total widgets were 20 +15 +35 = 70.

The total of A and B was 20 +15 = 35, the same as the number of C.

X Co. Sold a Building which cost $400,000 for $450,000. The accumulated depreciation taken on the building at the time of disposal was $300,000. Complete the journal entry to record the gain or loss on the sale.

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

Account Title                                              Dr. Amount                  Cr. Amount

Money                                                       [tex]\$ \ 4,50,000[/tex]  

Depreciation Accumulated                        [tex]\$ \ 3,00,000[/tex]  

Profit from its sale of development                                                [tex]\$ \ 3,50,000[/tex]

The Building                                                                                    [tex]\$\ 4,00,000[/tex]  

(Being sold and registered as a building)

Which of the following best describes the function shown below?
a.Linear
b.Quadratic
c.Exponential Growth
d.Exponential Decay

Answers

Answer: I need to see the picture of the work first to tell u

Step-by-step explanation:

Quadratic because I feels what I feels

965 divided by 31 is the question I need help with

Answers

Answer:

         31.12

Step-by-step explanation:

Answer:31.129

Step-by-step explanation:

7x + 6 - 4x + 10=? fast that ima get grounded ​

Answers

Answer:

= 3x + 15

Step-by-step explanation:

7x + 6 - 4x + 10

= 3x + 15

Answer:

3x+16

Step-by-step explanation:

7x+6-4x+10

= (7x-4x)+(6+10)

= 3x+16

solve the inequality for 1x + 2 > 10

Answers

Answer:

x>8

Step-by-step explanation:

Hope that helps you!!

an object is moving at a speed of 4 feet per minute. Express this speed in miles per week. Round your answer to the nearest hundredth.

Answers

Answer:

7.64 miles/week

Step-by-step explanation:

recall the following conversions

1 mile = 5280 feet  or  1 foot = 1 /5280 miles

also

1 week = 7 days = 7 x 24 hours = 7 x 24 x 60 = 10080 min

We are given 4 feet /min. We can apply the above conversions to this to get:

4 feet/min

= 4 feet/min x (1/5280) miles/foot

= (4/5280) miles / min

= (4/5280) miles/min x 10080 min/week

= (4/5280)(10080) miles/week

= 7.636363 miles/week

= 7.64 miles/week   (nearest hundredth)

Solve 2v2 – 22v + 60 = 0.
Question 6 options:

A)

v = 10, v = 12

B)

v = –10, v = –12

C)

v = –5, v = –6

D)

v = 5, v = 6

Answers

The Answer is D
V= 5 , 6

Answer:

D

Step-by-step explanation:

I took the test.

Need help ASAP!! Plz help me

Answers

x=15.5

(8x-4)+60=180
8x+56=180
8x=124
x=15.5

help me ill give branilyest

At store A, 3 pounds of apples cost $12.
At store B, the cost is given by y = 2x where y is the cost in dollars and x is the number of pounds of apples.
The cost of apples at store C is shown in the graph.

Answer the questions to find out which store's apples are the least expensive.

1. What is the unit price of apples at store A? Explain how you found this unit price.


Write your answer in the space below.















2. What is the unit price of apples at store B? How did you use the equation to find the unit price?


Write your answer in the space below.















3. What is the unit price of apples at store C? How did you use the graph to find the unit price?


Write your answer in the space below.















4. Which store has the lowest unit price for apples?


Write your answer in the space below.

Answers

Answer:

The unit price is the cost per unit of an item or the cost/price for each item.

1) 4$ per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.

2) 2$ per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = 2x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.

3) 3$ per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.

4) Store B. Because 2 is less than 3 which is less than 4.

Will give brainlist. I need the area of this triangle.

Answers

Answer:

I believe it is 6 units

Step-by-step explanation:

Plug the base and height into the formula for a triangle.

Hope this helps, have a nice day!

Find the area of the sheet required to make closed cylindrical vessel of height 1 m and diameter 70 cm?

Answers

Answer:

The area of the sheet needed is 3m^2 approx.

Step-by-step explanation:

Step one:

given

height h= 1m

diameter= 70cm= 0.7m

radius r= d/2= 0.7/2= 0.35m

The surface area or the total surface of a cylinder is equal to the sum of the base area times two and the area of the curved surface.

The formula is

T.S.A.=2πrh+2πr^2

Required is the T.S.A  

Step two:

substitute our given data we have

T.S.A.=2*3.142*0.35*1+2*3.142*0.35^2

T.S.A.=2.199+0.769

T.S.A.=2.96m^2

T.S.A.=3m^2 approx.

answer this question for brainliest

Answers

Answer:

y = -7x + 26

I checked it on Desmos

As checked on Desmos (see photo attached) the answer should be:

Y= -7x + 26

To get this, I first plotted the points (4,-2) and (2,5). I then did rise over run, and counted how far down and how far to the right the points changed, and I got -7/1. Finally, To find the y-intercept, I plugged in numbers starting from 0 until I was able to make a slope of a line that lined up with the points.


Hope this helps :)

what is v=1/3Ah solving for A

Answers

Answer:

A=3V/h

That is the answer for solving for A

Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers. Find the largest odd number.

Answers

Answer: 15

Step-by-step explanation:

suppose;  three consecutive odd integers are x; x + 2; x+ 4 (x is a odd integer)

because Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers

=> 5(x + 2) = 3( x +x +4) - 13

<=> 5x + 10 = 6x + 12 - 13

<=>6x - 5x = 10 + 13 - 12

<=> x = 11

=> the largest odd number is 11 + 4 = 15

The largest of the three consecutive odd integers which could be written as a, a+2 and a + 4 is 15

Let the integers be : a, a + 2, a + 4

Creating a mathematical equation using the scenario given.

5(a + 2) = 3(a + (a + 4)) - 13

Open the bracket bracket

5a + 10 = 3(2a + 4) - 13

5a + 10 = 6a + 12 - 13

5a + 10 = 6a - 1

Collect like terms

5a - 6a = - 1 - 10

-a = - 11

a = 11

The largest integer = a + 4 ; 11 + 4 = 15

Therefore, the largest of the consecutive odd integers is 15

Learn more : https://brainly.com/question/18109354

Help me solve this problem please

Answers

Answer:

A

Step-by-step explanation:

y=-3x

Because Y=-3x

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