At 106°F, a certain insect chirps at a rate of 67 times per minute, and at 108°F, they chirp 83 times per minute. Write an equation in slope-intercept form that represents the situation.

Answers

Answer 1

Answer:

[tex]y=8x-781[/tex]

Here, [tex]x[/tex] represents temperature and [tex]y[/tex] denotes rate of chirping per minute.

Step-by-step explanation:

Let [tex]x[/tex] represents temperature and [tex]y[/tex] denotes rate of chirping per minute.

At [tex]106[/tex]°F, a certain insect chirps at a rate of [tex]67[/tex] times per minute.

Take [tex](x_1,y_1)=(106,67)[/tex]

At [tex]108[/tex]°F, they chirp [tex]83[/tex] times per minute.

Take [tex](x_2,y_2)=(108,83)[/tex]

Slope intercept form:

[tex]y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)[/tex]

[tex]y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{16}{2})(x-106)\\\\y-67=8(x-106)\\y-67=8x-848\\y=8x+67-848\\y=8x-781[/tex]


Related Questions

Redbox rents out both video games and movies. They charge $2 for each video game and
$1 for each movie rented. Last week the total number of rentals was 114 and the machine
made a total of $177. How many movies and games were rented? What are the two
equations we can make? One is about the price, the other is the total rentals.

Answers

Answer:

1x + 2y = 177 (price)

x + y= 114 (rentals)

Step-by-step explanation: x= movies y= video games

Answer:

56

Step-by-step explanation:

add and then multiply

Please help.
Algebra.

Answers

The answer to your answer is b
the answer is B. MULTIPLY the top equation by (-1)

What is the value of x?
0 12
O 10
06
08

Answers

Answer:

8

total degree inside pentagon is (n - 2) x 180 = 540

180-62 = 118

180-66 = 114

180-77 = 103

180-59 = 121

118+114+103+121 = 456

540 - 456 = 84

84 + 12x = 180

12x = 180-84

x = 96/12

x = 8

The value of x in the given pentagon is 8.

Option D is the correct answer.

What is a Pentagon?

A pentagon is a polygon that has five sides and five angles.

The sides and angles of a pentagon are not all equal unless it is a regular pentagon.

A regular pentagon has five equal sides and five equal angles.

We have,

For a pentagon, n = 5, so we have:

total degree = (5 - 2) × 180 degrees

total degree = 3 × 180 degrees

total degree = 540 degrees

Now,

Each angle makes a straight angle.

So,

77 + a = 180

a = 180 - 77 = 103

59 + b = 180

b = 180 - 59 = 121

c + 66 = 180

c = 180 - 66 = 114

d + 62 = 180

d = 180 - 62 = 118

Now,

a + b + c + d + e = 540

103 + 121 + 114 + 118 + e = 540

e = 540 - 456

e = 84

Now,

12x + 84 = 180

So,

12x = 180 - 84

12x = 96

x = 8

Thus,

The value of x is 8.

Learn more about the Pentagon here:

https://brainly.com/question/30182047

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Find the area and the circumference of a circle with diameter 8 ft.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
ft
ft?
ft
8 ft
Area:
Circumference:
X Х
?

Answers

Answer:

Step-by-step explanation:

Circumference

C = 2*pi * r

pi = 3.14

r = d / 2

r = 8/2

r = 4 feet

C = 3.14 * 2 * 4

C = 18.84 feet.

Area

pi = 3.14

r = d/2

r = 8/2

r = 4

Area = 3.14 * 4^2

Area = 3.14 * 16

Area = 50.24 ft^2

Juan and Rob are selling cookie dough for a school fundraiser. Juan has t tt cookie dough orders, and Rob has 40 4040 cookie dough orders. They have a total of 75 7575 cookie dough orders all together.

Answers

Answer:

35 cookie dough orders

Step-by-step explanation:

Juan and Rob are selling cookie dough for a school fundraiser. Juan has t cookie dough orders, and Rob has 40 cookie dough orders. They have a total of 75 cookie dough orders all together.

We have to calculate the number of cookie dough that Juan has.

The expression for the above question is given as:

t + 40 = 75

We collect like terms

t = 75 - 40

t = 35

Therefore, Juan has 35 cookie dough orders

5) A savings account earns 4.5% annual simple interest. The principle is
$1300. What is the balance after 3 years? *

Answers

Answer:

$1483.52

Step-by-step explanation:

P=principle

Fn=total at the end of a given year(=n) (subscript)

I= interest in decimal

F=P(1+I)

at end of first year F1=P(1+I)

at end of second year F=F1(1+I)= P(1+I)(1+I)= P(1+I)^2

or in general Fn=P(1+I)^n

PLEASE HELP ILL GIVE BRAINLIST

Answers

Answer:

B.

E.

Step-by-step explanation:

Answer:

A= 4.889

B= 5.06

C= 4.972

D= 4.992

E= 5.01

Step-by-step explanation:

YOUR WELCOMEEEE :>

Which equation has a graph parallel to the graph of
y = -2/3x + 2

Answers

Answer:

B

Step-by-step explanation:

The answer is b because the number is supposed to be next to the first number

how to expand 2a²b-ab-a​

Answers

Answer:

[tex]a(2ab - b - 1)[/tex]

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

[tex]gcf = a[/tex]

2) Factor out the GCF. ( write the GCF first. then, in parentheses, divide each term by the GCF).

[tex]a( \frac{ {2a}^{2}b }{a} + \frac{ - ab}{a} - \frac{a}{a} [/tex]

3) Simplify each term in parentheses.

[tex]a(2ab - b - 1)[/tex]

What is the area of the rectangle?
A. 6,000 units2
B. 6,100 units2
C. 6,660 units2
D. 6,666 units2

Answers

The area of the rectangle is A. 6000
A. 6,000 units^2

The area of a rectangle equals its length times its width. 60 • 100 = 6,000

what side lengths should be used to model a rectangle with an area of x^2+3x-10 square units? x-5 and x+2 x and x+3 x+3 and x-10

Answers

Answer:

Answer: x-2 and x+5 side lengths should be used to model a rectangle.

Step-by-step explanation:

can u make me brainiest pls

Answer:

None of the 3 available answers models the given rectangle

I believe (x+5)(x-2) would be equal though.

Step-by-step explanation:

(x-5)(x+2) = x²+2x-5x-10

simplify:

x²-3x-10 ≠ x²+3x-10

(x)(x+3) = x²+3x

simplify:

x²-3x ≠ x²+3x-10

(x+3)(x-10) = x²-10x+3x-30

simplify:

x²-7x-30 ≠ x²+3x-10

4 A shelf at the grocery store
contains 500 packages of corn
and flour tortillas. If 22% of
the packages are flour tortillas,
how many packages
are corn tortillas ?

Answers

Answer:

390

Step-by-step explanation:

500*.22=110

500-110=390

390

Part C
Vertical angles are the angles opposite each other when two lines intersect. Which angles are vertical to the given angles? Complete the table.

Answers

Answer:

angle A = Angle C: verticle angle

angle B = Angle D: verticle angle

angle E = Angle G: verticle angle

angle F = Angle H: verticle angle

angle B and A are supplementary

angle D and C are supplementary

angle E and F are supplementary

angle H and G are supplementary

Answer:angle A = Angle C: verticle angle

angle B = Angle D: verticle angle

angle E = Angle G: verticle angle

angle F = Angle H: verticle angle

angle B and A are supplementary

angle D and C are supplementary

angle E and F are supplementary

angle H and G are supplementary

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Select the proportion of sides relationships that would prove ABC is congruent by the side angle side similarity theorem

Answers

AB/QR =AC/QS is the answer.

What’s the missing side length

Answers

The answer is 6cm hop this helps
The answer would be 6cm because the length below is 10 and above is 4, so that would leave 6 cm of blank space

What is the circumference of a circle with a diameter of 2 feet? Use 3.14 for
TT.

Answers

the correct answer is 6.28

Answer:

D. 6.28

Step-by-step explanation:

C= 2(3.14) R

R= D/2

2/2-1

R=1

C=2(3.14)1 (DON'T REALLY NEED THE !)

6.28

5) Today's temperature is 10 degrees. Yesterday's temperature was -3. What is
the range of the two temperatures? *

Answers

Answer:

13

Step-by-step explanation:

10--3=

So is 13

But not sure

Triangle congruence and similarly (picture included) SAS, ASA, SSS, or AAS?

Answers

Answer:

SAS

Step-by-step explanation:

SAS Postulate: "If two sets of corresponding sides on two triangles and there included angle are congruent, then the triangles are similar".

We see that line segments XY-ST and XZ-SR are congruent along with the included angles X and S. Therefore, we can justify that SAS fits the situation.

If this helped you, please consider giving a good rating, a thanks, and brainliest! It is greatly appreciated if you choose to do so! Thanks!

will give brainliest if right​

Answers

SAKHDSKGgsgdyasygudayf

Please please help help me please please help helps me please ASAP ASAP please ASAP thank you!!

Answers

Answer:

Ill help! If there is anything you need help with? lol

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

Blank 1:

We could see that the number line has been shaded from -2 to positive infinity. From this information we could conclude that the inequality for the number line would be (-2, + ∞).

Tip- If the circle is shaded then you use [ but if its not shaded then you use ( which is why we used the parenthesis for our answer.

PLEASE HELP ASAP!

:(

Answers

4 units up and reflecting in over the x axis

Gwen bought a 2 1/4 pound bag of Finch bird seed and 3 1/2 pound bag of parrot bird seed . The total cost for the two bags was $16.79 (Find the cost per pound if it is the same for both types of bird seed)

Answers

Answer:

Software comprises the entire set of programs, procedures, and routines associated with the operation of a computer system. The term was coined to differentiate these instructions from hardware—i.e., the physical components of a computer system.

Answer:

$2.92 would be the cost per pound

M. A rectangular swimming pool is 5.4 m long and
3.5 m wide. It has a
path 0.5 m wide
Path
around it. What is
the area of the path?
Swimming pool



NEED HELPPPPP​

Answers

Answer:

i need help please with my maths

Step-by-step explanation:

PLEASE HELP

Once a weck you babysit your neighbor's
toddler after school, usually going to a
local playground. You notice that each
swing on the swing set takes nearly the
same amount of time, about 3.7 seconds
(1). Use the pendulum formula below to
find out how long (ft) the swing is. Round
your answer to the nearest tenths place.

Answers

T/2π = √L/32

3.7 / 2 π = 0.588873289

0.588873289² =  L / 32

0.34677175 = L/32

0.34677175 x 32 = L

L = 11.096696 ft

11.0971

NOWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW

Answers

Answer: X=147

Step-by-step explanation:

33+114= 147

two angles added together equals x

x=147

114+33=147
180-147=33
X=147°

simplify 3a x 2b x 2​

Answers

Answer:

[tex]12ab[/tex]

Step-by-step explanation:

3a × 2b = 6ab

6ab × 2 = 12ab

Therefor, the answer is 12ab.

3a × 2b × 2 = 12ab

The expression expects us to find the product . Therefore,

3a × 2b × 2

Let's do it step by step

3a × 2b = 6ab

Then,

6ab × 2 = 12ab

Therefore,

3a × 2b × 2 = 12ab

read more: https://brainly.com/question/17115859?referrer=searchResults

ABC - DEF. What sequence of transformations will move ABC onto DEF?

Please help me!!

Answers

Answer:

it should be b i think

Step-by-step explanation:

Answer:

It was C

Step-by-step explanation:

I took the test

convert 0.3 to a percent

Answers

To find the percentage of a decimal, you just take the decimal and multiply it by 100 then add the percentage symbol.

0.3 . 100= 30

Thus, the answer is : 30%

The length of a rectangle is 1 foot more than twice the width. The area is 55 square feet. Find the length of the dimension of the rectangle.

Answers

Answer:

11 ft

Step-by-step explanation:

The formula for the area of a rectangle of length L and width W is

A = L * W.  

Represent the length, L, by 2W + 1 ("1 more than twice the width").  Then the area formula (above) becomes:

A = 55 ft^2 = (2W + 1)(W), which, when simplified, results in:

2W^2 + W - 55 = 0, whose coefficients are {2, 1, -55}.  Let's use the quadratic formula to solve this for W:

The discriminant, b^2 - 4ac, is 1^2 - 4(2)(-55), or 441.  The square root of 441 is 21.  Thus, the quadratic formula gives us:

        -1 ± 21

W = ------------- = (1/4)(-1 + 21), or W = 5 and W = -22/4 = -11/2

            2(2)

A measure of length can't be negative, so we reject W = -11/2 in favor of W = 5.

Then, according to the formula for L that we found earlier, L  = 2W + 1, or

L = 2(5) + 1, or L = 11.

Check:  Does L * W result in an area of 55 ft²?  Yes

The length dimension of the rectangle is 11 ft

Plz plz plz helpppppplllpl​

Answers

Answer:

both 20 and 12 but, 12 can be more accurate. Depends on your teacher's point of view.

please mark as brainliest

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