what is the slope of the line represented by the equation? ​

Answer:

in 3 minutes and 50 seconds

Step-by-step explanation:

soup = 95c

after 1 minute = 83c

after 2 minutes = 71c

after 3 minutes = 59

soup cools down 0.2c in 1 seconds

so 10 seconds = 2c

in 3 minutes and 50 seconds = 49c

The temperature 49°C of soup bowl will be after 5.54 minutes

[tex](T-T_{s} )=(T_{0} -T_{s} )e^{-kt}[/tex]

[tex]T =[/tex] 83°C and 49°C

[tex]T_{s} =[/tex] 22°C

[tex]T_{0} =[/tex] 95°C

(83-22)=(95-22)[tex]e^{-k}[/tex]

∴ k = -ln (61/73)

Now,

(49-22) = [tex]e^{ln(61/73)t}[/tex]

∴ t = [tex]\frac{ln (27/73)}{ln(61/73)}[/tex]

∴ t = 5.54 minutes

So, after 5.54 minutes temperature will be 49°C

Learn more about Newton's Law of Cooling here:

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Answer:

S= 1.301

Step-by-step explanation:

5.313-4.012=S

Answer:

Divide 28 by 8. the answer is $3.50. That’s the money you pay per gallon. Multiply 3.50 by 15 and the final answer is: 52.50

Step-by-step explanation:

Answer: Exponential function: [tex]y=12000(1.05)^x[/tex]

Step-by-step explanation:

Exponential function: [tex]y=ab^x[/tex] , a = initial value , x= time,  b= growth factor , b= 1+r , where r=rate of growth.

Given: Initial population = a= 12,000,

rate of growth = r= 5% = 0.05

Then, b=  1+r= 1+ 0.05 = 1.05

Substitute value of a and b in (i), we get

[tex]y=12000(1.05)^x[/tex]

Hence, The required exponential function: [tex]y=12000(1.05)^x[/tex], where x= time.

Answer:

990

Step-by-step explanation:

990

2 is lower than 5 so we round down. Instead of rounding up to 1, round down to 0

Answer:

What are two-step equations?

A two-step equation is an algebraic equation you can solve in two steps. Once you've solved it, you've found the value of the variable that makes the equation true.

Example 1

We're given an equation and asked to solve for

x

xx:

3

x

+

2

=

14

3x+2=143, x, plus, 2, equals, 14

We need to manipulate the equation to get

x

xx by itself.

3

x

+

2

=

14

3

x

+

2

−

2

=

14

−

2

3

x

=

12

3

x

3

=

12

3

x

=

4

3x+2

3x+2−2

3x

3

3x

​

x

​

=14

=14−2

=12

=

3

12

​

=4

​

The solution:

x

=

4

x=4start color #1fab54, x, equals, 4, end color #1fab54

It's always a good idea to check our solution in the original e

3

x

+

2

=

14

3

⋅

4

+

2

14

12

+

2

14

14

=

14

Yes!

3x+2

3⋅4+2

12+2

14

​

=14

=

?

14

=

?

14

=14 Yes!

​

Want to learn more about two-step equations? Check out this video.

Example 2

We're asked to solve this equation for

a

aa:

8

=

a

3

+

6

8=

3

a

​

+68, equals, start fraction, a, divided by, 3, end fraction, plus, 6

We need to manipulate the equation to get

a

aa by itself.

8

=

a

3

Answer:

You pay  $44 / You're saving $36

Step-by-step explanation:

100 - 45 = 55

$80 x 0.55 = $44

Answer:

im allergic to cookies

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

x + 7x + 2 = 8x + 2

Answer:

|-9.8| = 9.8

|11 2/3| = 11 2/3 or 11.66

|-2 6/7| = 2 6/7 or 2.86

Step-by-step explanation:

Answer:

d=4t

Step-by-step explanation:

Answer:

Answer is D

Step-by-step explanation:

Answer:uh i think D

Step-by-step explanation:

Answer:

8.1 for the 2th awnser

Step-by-step explanation:

1.4 + 5.9+2.2=8.1

Answer:

z (3.4 + 4.6 + 2.2)

:)

Answer: 3580.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

$80.5 is the right answer.

We divide 3500 by 100 and then multiply the answer to 2.3 this my answer credits to WritingRaccoon

Answer:

60 miles

Step-by-step explanation:

120/2=60 or 60x2=120

Answer:60 miles

Step-by-step explanation:

120/2=60

Answer:

hi

Step-by-step explanation:

hi hi hi hi hi hi hi.........

Answer:

f(9) = 61

Step-by-step explanation:

You know f(x) = 8x - 11. So, to find f(9), you have to replace x with 9 on the other side.

f(9) = 8(9) - 11

You can solve this.

f(9) = 72 - 11

f(9) = 61

Answer:

Step-by-step explanation:

f(x) = x² + 2x + 5

f(x+3) = (x+3)² + 2(x+3) + 5

  = (x²+6x+9) + (2x+6) + 5

  = x² + 8x + 20

Answer:

you sure its not f(x+3) ?

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

tbh, i just guessed around the numbers until i got the right one xD

The number of women present in the party will be 23.

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

Total persons in party = 37

Let,

Number of men = m

Number of women = w

So,

Total number of persons in party ,

m + w = 37     .....(i)

Now,

According to the question,

m = w - 9

Now

Substituting m = w - 9 in equation (i),

i.e.

w - 9 + w = 37

We get,

2w = 37 + 9

2w = 46

We get,

w = 23

So, number of women are 23.

Hence, we can say that the number of women present in the party were 23.

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Answer:

3.25

Step-by-step explanation:

it is shrinking by a factor of 4 so every number is 4 times smaller and 13 divided by 4 will give you 3.25

Answer:

3.25

Step-by-step explanation:

As you can see from the one on the left and the other on the right is that the left is larger than the right by the ratio of 4:1

CB = 12, ZY = 3

BA = 5, YX = 1.25

Using this information, to find ZX, we just need to divide CA's  length by 4:

13 / 4 = 3.25

Answer:

12

Step-by-step explanation:

Answer:

i wanna say 12 but i am not sure!!!!!!!!!

Step-by-step explanation:

Answer

The tax/ your paying a year is 150, so you would owe 1,500 btw, answer my recent question maybe..?

Step-by-step explanation:

Answer:

5 inches

Step-by-step explanation:

5/12 feet is 5 inches because there are 12 inches in a foot.

Answer:

42 in

Step-by-step explanation:

12 x 3 = 36

1/2 foot = 6 in

36 + 6 = 42

Answer:

2

Step-by-step explanation:

Answer:

y = 1

Step-by-step explanation:

Since 15 and 5, 18 and 6, and 27 and 9 all have 3 in common, then 3 should go into 1.

Answer:

1

Step-by-step explanation:

equation is always x/3=y