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

What is the y-intercept. Describe how you know in both the table and the graph.

Answers

Answer:

(4,0)

Step-by-step explanation:

the y-intercept is 4 because when the x value is 0 the y value is 4 on both the graph and table

The front and back covers of a textbook are each 0.3 cm thick. Between the covers are 200 sheets of paper, each 0.008 cm thick. How high is a stack of 10 books

Answers

Answer:

22 cm

Step-by-step explanation:

Start off by multiplying the number of pages by the thickness.

200*0.008=1.6

Add the thickness of the front and back cover.

1.6+0.6=2.2

Multiply by 10.

2.2*10=22 cm

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The height of the 10 stacks of books is 22cm.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that the front and back covers of a textbook are each 0.3 cm thick. Also, there are 200 sheets of paper between the cover and the thickness of each sheet is 200 sheets. Therefore, the thickness of the book is,

The thickness of a single book

= (Number of covers × Thickness of cover) + (Number of sheets × Thickness of sheets)

= (2 × 0.3cm) + (200 × 0.008cm)

= 2.2 cm

Now, the thickness of 10 books will be,

The thickness of 10 books = 10 × the Thickness of a single book

                                            = 10 × 2.2 cm

                                            = 22 cm

Hence, the height of the 10 stacks of books is 22cm.

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Can someone help me please

Answers

The point at top will be -3,9
The point to the left will be -2,6
The point at the bottom will be 2,2
The point to the right will be 1,5

90 POINTS! PLEASE HELP!
Select the correct answer What is the solution for x in the equation 5/3 * x + 4 = 2/3* x Ο Α x = 12/7 OB B. x = -4 OC 12/7 OD x = 4

Answers

x=-4  hope it helps! good luck

What is the square root for this numberZ

Answers

10 is the answer because 10 times itself is equal to 100
10
.........................

Can anyone help?
The question says to expand and simplify it but i dont know how.

Answers

Answer:

3x+14

Step-by-step explanation:

remove parenthses

6x+8-3x+6

3x+14

Answer:

3x+14

Step-by-step explanation:

2(3x+4)-3(x-2)

6x+8-3x+6

3x+14

HELP ASAPPPPPPPPP
Which numbers can be classified as rational? Select all that apply.
A. 5/6
B. Squared 11
C. 6.565656...
D. 0.23
E. 0.32416...
F. -5 3/8

Answers

9514 1404 393

Answer:

  A, B, C, D, F . . . as written

Step-by-step explanation:

Any mixed number, fraction, or finite or repeating decimal is rational. The only one in your list that is irrational is E, which appears to be a non-repeating, non-terminating decimal.

__

Your B selection appears to be 11² = 121, an integer and a rational number.

If your B selection is supposed to be √11, then that number is irrational, as it is not the root of a perfect square.

E is irrational; B is rational as written, but irrational if it should be √11. All the others are rational.

Which expression is equivalent to 9q2-(3q - 7) +5q??
) ?
3

Answers

[tex]9q^2-(3q - 7) +5q= \\\\=9q^2-3q + 7 +5q= \\\\=9q^2+2q + 7[/tex]

Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher. Let y represent the total number of inches of water in the rain-catcher after x days. Express the equation in the form of y=mx+b .

Answers

Answer:

y=  3x + 8

Step-by-step explanation:

y = mx + b

m = 3 inches of water added each day

x = 8 inches of water at start

y=  3x + 8 is the required equation.

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher.

We have,

m = 3 inches of water added each day

x = 8 inches of water at start

Converting in y = mx + b, we get,

y = 3x+8

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Question 2 (1 point)
A video game has three villains who appear on screen at different intervals. One villain appears every 2 seconds, a second villain appears every
19 seconds, and a third villain appears every 10 seconds. How much time passes between the occasions when all three villains appear at the
same time?

Answers

Answer:

3 minutes tens seconds or 190 seconds

Step-by-step explanation:

Find the LCM.

In ΔBCD, the measure of ∠D=90°, BC = 81 feet, and DB = 52 feet. Find the measure of ∠C to the nearest tenth of a degree.

Answers

Answer:

39.9°

Step-by-step explanation:

m∠C = β

sin β = [tex]\frac{52}{81}[/tex] ⇒ β = arcsin [tex]\frac{52}{81}[/tex] ≈ 39.9°

Answer:

39.9

Step-by-step explanation:

sinC=  

sin C = \{52}{81}

sinC=  

81

52

​  

 

C=\sin^{-1}{52}{81})

C=sin  −1 (  81 /52 )

C=39.9393\ 39.9^

C=39.9393≈39.9∘

WILL GIVE BRAINLIEST!!!!! Given the equation y = x – 2, you substitute 3 for y. Check all true statements below.
A. You replaced y with 3 temporarily.
B. This is wrong because you can only substitute for x.
C. The equation becomes 3 = x – 2
D. The value of x is 5.
E. The equation y = x – 2 is still true, just with specific values.

Answers

Answer:

y=x-2

a. 3=x-2

b. this isn't wrong??

c. 3=x-2

d. add 2 to both side so taht x is on its own so 5=x

e. yes

Answer:

C and E

Step-by-step explanation:

Im not entirely sure about A, because you are substituting so technically you changed it but the equation is still true (just as E says) but with more specific values.

B is not right because you can replace either y or x

D is not right because if you switch the equation to get the value of x you would make x= -3-2 which would be -5, not 5.

Hope this helped :)

Which line below is parallel to the line that y = 1/2x - 2?
A) y = 1/2x + 2
B) y = -1/2x + 2
C) y = 1/2 - 2x
D) y= 1/2 + 2x

Answers

Answer:

The answer is b

Step-by-step explanation:

Bc it is just basicly the x and y axis

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)

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,791 was collected on the sale of 1,275 tickets. How many of each type of ticket were sold?

Answers

9514 1404 393

Answer:

379 adult tickets896 student tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then (1275-a) is the number of student tickets sold. The total revenue was ...

  5a +1(1275 -a) = 2791

  4a = 1516 . . . subtract 1275 and simplify

  a = 379 . . . . . divide by 4

  1275-a = 896

379 adult and 896 student tickets were sold.

what is 2.99 x 0.6 in dollars and cents plz help:(

Answers

Answer:

the answer is 1. 794

Step-by-step explanation:

Answer:1.794 is the answer to you question.                                                  

Step-by-step explanation:

Mrs. Wally cut a 21 foot long ribbon into four equal lengths. How many feet long was each length of ribbon

Answers

the answer is:

Each equal length of ribbon is 5.25 ft

Step-by-step explanation:

21 divided by 4 is 5.25

To find the number of distributed quantities division operator is used. Each length of ribbon was 5.25 foot long.

What is division ?

Division is a mathematical operation used to divide a number into equal parts. When a number is divided by another number, a quotient and remainder is obtained.

Given length of ribbon = 21 foot

Number of parts it has to be divided = 4.

So, to get the length of each part divide the total length by 4.

Thus, the length of each part is 21/4 = 5.25 foot.

Hence,  the length Mrs. Wally' s each ribbon is 5.25 foot.

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PLEASE HELP ME ANSWER NOW!!!! 15 POINTS

Answers

Answer:

x = 4

Step-by-step explanation:

6x + 4 = 12x - 20

x = 4

P=50 L=? B=15 find ?​

Answers

Answer:

40

Step-by-step explanation:

A=5

mhdyudpsitsyooatost

Ricky bought a jacket for $52.00. If the sales tax is 9.5%, how much did he pay in total?

A.$4.94

B.$61.50

C.$49.40

D.$56.94

Answers

Answer:

D. $56.94

Step-by-step explanation:

52 * 0.095 = 4.94

Add $52 + $4.94

Eight year-old Alex is learning to ride a
horse. The trainer says that a horse
ages 5 years for every 2 human years.
The horse is now 50 years old in human
years. How can you determine the age
of the horse, in human years, when Alex
was born?
Hint: Use a table or a graph to
help you find the solution.
Show your work.

Answers

Answer:

The age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years.

Therefore, the age of the horse, in human years, when Alex was born was 42 years.

Step-by-step explanation:

Current age of Alex = 8

Current age of the horse in human years = 50

Since the age of the horse is already stated in human years, it implies there is no need to convert the age of the horse again.

Therefore, since Alex is a human who was born 8 years ago, the age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years as follows:

The age of the horse, in human years, when Alex was born = 50 - 8 = 42

Therefore, the age of the horse, in human years, when Alex was born was 42 years.

This can be presented in a table as follows:

                               Age of Alex        Age of the Horse (in human years)

Eight years ago              0                                           42

Current age                    8                                           50

Mrs. Adams paid $33.60 for 3.2 pounds of Hawaiian coffee beans. What is the price per pound of the coffee beans?

Answers

Answer:

$10.5

Step-by-step explanation:

33.6/3.2(that is unit price formula total by one) which is 10.5

Hope this helps plz mark brainliest :D

In the rhombus, the measure of angle 1 = 18x, the measure of angle 2 = x + y, and the measure of angle 3 = 30z. Find the value of x + y + z. The diagram is not drawn to scale. ​

Answers

Answer:

A. 93

Step-by-step explanation:

Each angle is 90 degrees.

18x = 90

x=5

x + y = 90

5 + y = 90

y = 85

30z = 90

z = 3

5 + 85 + 3 = 93

A flagpole 12 meters tall casts a 24-meter shadow. Nearby, luke stands and is 4 meters tall. Determine the length of luka’s shadow. include all labels.

Answers

Answer:

8 meters

Step-by-step explanation:

This means that the shadows at this time is twice as tall as normal.

4*2=8

Luka's shadow is 8 meters tall.

there is a certain number. If you add 30 7 to it, then subtract 22 7 from the previous result, and then subtract that difference from 59/7, after that you will get 19 7. What is a certain number?

Answers

Step-by-step explanation:

59 / 7 - ( x + 30 / 7 - 22 / 7 ) = 19 / 7

59 / 7 - ( x + 8 / 7 ) = 19 / 7

59 / 7 - x - 8 / 7 = 19 / 7

- x = 19 / 7 - 59 / 7 + 8 / 7

- x = - 32 / 7

x = 32 / 7

Help me due in 5 minutes HELP ASAP

Answers

Answer:

J.

Step-by-step explanation:

It crosses through (0,0) and has a slope of 2.5 or rather 5/2 because when the x value is at 4 the y value is at 10 that simplifies to 5/2 or 2.5.

Johanna can jog 3,000 feet in 5 minutes. If she jogs at the same rate, how many feet can she jog in 8 minutes?

Answers

Answer:

4800

Step-by-step explanation:

3000\5=600

600*8=4800

Please solve: (in a hurry)
will name the brainliest!!!
include steps!

Answers

Answer:

Step-by-step explanation:

Solve the following equation by the quadratic formula. 9x 4 + 5x 2 - 4 = 0 {±2/3, ±1} {±2/3, ±i} {±4/9, ±1}

Answers

The solution of the equation by the quadratic formula are, {±2/3, ±i}

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ 9x⁴ + 5x² - 4 = 0

Now, Put x² = y in above equation, we get;

⇒ 9y² + 5y - 4 = 0

Bu using quadratic formula as;

⇒ y = - 5 ± √5² - 4×9×- 4 / 2×9

⇒ y = - 5 ± √25 + 144 / 18

⇒ y = - 5 ± √169 / 18

⇒ y = - 5 ± 13 / 18

This gives two solution,

⇒ y = - 5 + 13 / 18

⇒ y = 8/18

⇒ y = 4/9

⇒ x² = 4/9

⇒ x = ±2/3

And, y = - 5 - 13 / 18

⇒ y = - 18 / 18

⇒ y = - 1

⇒ x² = - 1

⇒ x = ±i

Thus, The solution of the equation are {±2/3, ±i}.

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pls give the answer​

Answers

Answer:

It should be 245 m

Step-by-step explanation:

Separate it like this:

chop of the rectangle part and find the area of that and then add it to the trapezoid part

10*20 = 200.

Area of a trapezoid = 5+10/2 *6.

5+10 = 15. 1

5/2 = 7.5.  

7.5*6 = 45.

45 + 200 = 245

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