A cheese maker changes the temperature of the
milk he is using at a rate of -3°F per minute. What
is the change in the temperature of the milk after
18 minutes? Explain how you got your answer.

Answer:

I think it's 7.93725

I'm not sure if I did this correctly

Answer:

(3, 6)

1/3

y = -3x +15

Step-by-step explanation:

you do this step by step.

just think what you need. and then you get all of that one after the other.

so, we need the middle point between D and O.

for this we need to know the length of DO.

and we need the slope of DO, so that we can then calculate the perpendicular slope. with that slope we then build the line going through the middle point as well but with the perpendicular slope.

so, length of DO.

Pythagoras for the triangle of the differences between the individual coordinates.

DO² = (9- -3)² + (8-4)² = (9+3)² + 4² = 144 + 16 = 160

DO = sqrt(16×10) = 4×sqrt(10)

the distance D-middle is half of DO = 2×sqrt(10)

DO/2 => DO²/4 = 144/4 + 16/4 = 36 + 4 = 6² + 2²

=> we have to add to the coordinates of D 6 in x and 2 in y direction to get the middle point :

(-3 + 6, 4 + 2) = (3, 6)

the slope of DO

the slope of a line is the ratio of y/x representing the change of y with the change of x. it is the factor of x in the line equation.

for DO we know that when x changes by 12 (difference of the x values of D and O), then y changes by 4.

so, the slope is 4/12 = 1/3.

perpendicular slope of 1/3

we flip x and y and also change the sign, as when the original line goes up, then the y line goes down. and vice versa.

so, the perpendicular slope is -3/1 = -3

the equation of the perpendicular line through the middle point is

y = -3x + c

for c we need to use the coordinates of the middle point (3, 6)

6 = -3×3 + c

6 = -9 + c

c = 15

so our line is

y = -3x + 15

Answer:

B

Step-by-step explanation:

y = k/(x + 3)

Let x = 2

Let y = 8

k = ?

8 = k/(2 + 3)      Combine the terms on the right

8 = k/(5)            Multiply both sides by 5

8*5 = k

k = 40

Let x = 7

y = 40/(7 + 3)

y = 40/10

y = 4

Answer:

23 poudsfgghhhhhhhxcvbnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Answer:

The prices are equal when it's 12 pages. For 12 pages, she'd be charged $57

Step-by-step explanation:

x = PER page

y = total

Online scrapbooking equation:

y = 45 + x

Family friend equation:

y = 9 + 4x

Where prices (y) would be equal:

y = 45 + x     (Multiply this by -4)

y = 9 + 4x

y = 9 + 4x

-4y = -180 - 4x

-3y = -171

y = 57

y = 45 + x

-y = -9 - 4x

0 = 36 - 3x

3x = 36

x = 12

Answer:

-6x+2=4

3(-3x+1)=6

-2(3x-1)=4

-3x=1

x=-1/3

Step-by-step explanation:

a 1,056$ on housing

b 552$ on food

c 144$ on clothing

d 408$ on transportation

e 240$ on savings

Answer:

The x intercept is -8

Step-by-step explanation:

To find the x intercept, set y = 0 and solve for x

5x - 10y + 40 = 0

5x - 10(0) +40 =0

5x +40 = 0

Subtract 40 from each side

5x = -40

Divide by 5

5x/5 = -40/5

x = -8

The x intercept is -8

Answer:

d

Step-by-step explanation:

Answer:

I think it is B

Step-by-step explanation:

Answer:

p(r-s) = 2r

pr - ps = 2r

pr - 2r = ps

r(p-2) = ps

[tex] r = \frac{ps}{p - 2} [/tex]

Answer:

r = ps/(p-2)

Step-by-step explanation:

distribute the 'p' first to get:

pr-ps = 2r

add 'ps' to each side to get:

pr = 2r+ps

subtract '2r' from each side to get:

pr-2r = ps

factor out the 'r' to get:

r(p-2) = ps

divide each side by 'p-2' to get:

r = ps/(p-2)

Answer:

3

Step-by-step explanation:

The equation for finding a slope is (y2-y1)/(x2-x1), where (x1, y1) is a set and (x2,  

y2) is another set. (2-(-7))/(-5-(-8) = (2+7)/(-5+8) = 9/3 = 3. Hope this makes sense and helps!

Answer:

3

Step-by-step explanation:

To find the slope given two points, we use the slope formula

m = ( y2-y1)/(x2-x1)

m = ( 2 - -7)/(-5 - -8)

   = (2+7)/( -5+8)

  9/3

  3

Answer:

x = 13

Step-by-step explanation:

NM + ML + LK = x - 6 + 9 + 2x - 19

NK = 23

x - 6 + 9 + 2x - 19 = 23

3x - 16 = 23

3x = 39

x = 13

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]A)\text{ } y-4=3(x+2)[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻  

[tex]\boxed{\text{Point-Slope Form Is...}}\\\\y-y_1=m(x-x_1)\\------------\\m - \text{slope}\\\\(x_1,y_1)- \text{point}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{\underline{Information Given:}}}\\\\\rightarrow \text{The point of } (-2,4)\\\\\rightarrow \text{The slope of 3}\\\\\\\text{\underline{This means the following:}}\\\\\rightarrow m = 3\\\\\rightarrow(x_1,y_1) = (-2,4)[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Replace the variables with the respective values:}}\\\\y-y_1=m(x-x_1)\\\\------------\\\rightarrow y-4=3(x-(-2))\\\\\rightarrow \boxed{y-4=3(x+2)}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

a is the answer because I just did that question and got 100 percent.

Answer:

B

Tasha's investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

i got a 100%

Answer:

2.64 km

Step-by-step explanation:

The first step is to calculate the distance in meters

= 24×110

= 2640 meters

1km= 1000 meter

2640 meters to kilometer

= 2640/1000

= 2.64 kilometers

Hence the distance is 2.64 km

Answer:

the 2nd option

Step-by-step explanation:

first option :

-3x + 7 + 8x = 5x + 15 - 8

combine like terms

-3x + 8x - 5x = +15 - 8 - 7

0

Second option :

3x - 2 = 5x + 12 - 2x

combine like terms

3x - 5x +2x = 12 + 2

0 = 14

third option

3x - 5 = -2x - 5

combine like terms

3x + 2x = +5 - 5

5x = 0

x = 0

fourth option

3x - 3 = -2x + 2

combine like terms

3x + 2x = 3 + 2

5x = 5

x = 1

(a) [tex]a+b-c\\-2+-3-4\\-5-4\\-9[/tex]

(b) [tex]b+c^3\\-3+4^3\\-3+64\\61[/tex]

(c)[tex]\frac{3b^2-c^2+a^2}{-3abc} \\\frac{3(-3)^2-(4)^2+(-2)^2}{-3(-2)(-3)(4)} \\\frac{3(9)-16+4}{6(-3)(4)} \\\frac{27-16+4}{-18(4)} \\\frac{11+4}{-72} \\\frac{15}{-72} \\-\frac{5}{24}[/tex]

Answer:

The answer to (A) is -9.

The answer to (B) is 61.

The answer to (C) is [tex]-\frac{5}{24}[/tex] in fraction form or -0.208 in decimal form.

Step-by-step explanation:

For problem (A), which is [tex]a+b-c[/tex], in order to solve for this problem, plug in the information given from the question. The problem will look like [tex](-2)+(-3)-(4)[/tex]. Solve the problem by first adding (-2) + (-3), which equals (-5), and then, solve for (-5) -(4), which equals -9. The final answer for problem (A) will be -9.

For problem (B), which is [tex]b+c^{3}[/tex], start by plugging in the information given from the question. The problem will look like [tex](-3)+(4)^{3}[/tex]. Solve the problem by cubing 4, which equals 64, and then, solve for (-3)+(64), which equals 61. The final answer for problem (B) will be 61.

For problem (C), which is [tex]\frac{3b^{2}-c^{2}+a^{2} }{-3abc}[/tex],  start by plugging in the information given from the question. The problem will look like [tex]\frac{3(-3)^{2}-(4)^{2}+(-2)^{2} }{-3(-2)(-3)(4)}[/tex]. Solve the problem by first simplifying the numerator.

To simplify the numerator, raise -3 to the power of 2, which will equal 9, and multiplying 3 by 9, which will look like [tex]\frac{27-(4)^{2}+(-2)^{2} }{-3(-2)(-3)(4)}[/tex]. Next, raise 4 to the power of 2, which equals 16, and multiply -1 by 16, which will look like [tex]\frac{27-16+(-2)^{2} }{-3(-2)(-3)(4)}[/tex]. The next step is to raise -2 to the power of 2, which will look like [tex]\frac{27-16+4 }{-3(-2)(-3)(4)}[/tex]. Then, subtract 16 from 27, which equals 11, and add (11) + (4), which equals 15. The numerator equals 15.

Next, simplify the denominator. First, multiply -3 by -2, which equals 6, and the problem will look like [tex]\frac{27-16+4 }{6(-3)(4)}[/tex]. Then, multiply 6 by -3, which equals -18, and the problem will look like [tex]\frac{27-16+4 }{-18(4)}[/tex]. The next step is to multiply -18 by 4, which equals -72, and the denominator will equal -72.

Then, reduce the expression by cancelling the common factor, and the common factor is 3. The final answer will be [tex]-\frac{5}{24}[/tex] in fraction form or -0.208 in decimal form.

Answer:

3p³ + 2p² – 3p – 11

Step-by-step explanation:

From the question given above, the following data were obtained:

Side 1 (S₁) = –1(p + 5)

Side 2 (S₂) = 2(p² – 3)

Side 3 (S₃) = 3p³ – 2p

Perimeter (P) =?

The perimeter of the triangle can be obtained as follow

P = S₁ + S₂ + S₃

P = –1(p + 5) + 2(p² – 3) + 3p³ – 2p

Clear bracket

P = –p – 5 + 2p² – 6 + 3p³ – 2p

Rearrange

P = 3p³ + 2p² – 2p – p – 6 – 5

P = 3p³ + 2p² – 3p – 11

Therefore, the perimeter of the triangle is 3p³ + 2p² – 3p – 11

Answer:

O = 29

P = 61

Step-by-step explanation:

90 = (x+3) + (2x+9)

90 = 3x + 12

90 - 12 = 3x

78 = 3x

x = 26

26 + 3 = O = 29

(26 * 2) + 9 = P = 61

61 + 29  = 90 = Complementary Angles

Answer:

to find y you have to do trigonometry

Answer:

It's exponential function, the base is 5.

Horizontal asymptote is y = 0

At x = 0, y = 3

x = 1, y = 15

Step-by-step explanation:

Answer:

Step-by-step explanation:

shipping container is in the shape of a Right rectangular prism with the length of the 12 feet away the 8.5 feet and the height of 4 feet. The container is completely filled with contents that weigh on average 0.25 pounds per cubic foot what is the weight in pounds of the contents in the container

Right rectangular prism is a cuboid

Volume of Right rectangular prism = 12 * 8.5 * 4  = 408 cubic feet

Content Density = 0.25 pounds per cubic foot

Density = Mass / Volume

=>  0.25  = Weight of contents in container / Volume of container

=> 0.25 = Weight of contents in container / 408

=> Weight of contents in container  = 0.25 * 408

=> Weight of contents in container  = 102 pounds

Answer:

x = 41°

Step-by-step explanation:

Using the cofunction identity

sinx = cos(90 - x) , then

sin49° = cos(90 - 49)° = cos49°

with x = 41°

Answer:

B

Step-by-step explanation:

The equation of Nolan's line is  

The slope-intercept form of a line is given by:

Here

m is the slope of the line

and b is the y-intercept.

Given

y-intercept = b = 3

slope = m = 2

The values of m and b can be put into the equation to find the line's equation

So,

Putting the value

Hence,

The equation of Nolan's line is

Answer:

Temperature after 10 minute = 27.9 degree Celsius

Step-by-step explanation:

Current temperature, P = 100 degree Celsius

% rate in temperature loses = 12% per minute = 0.12

Time,  t = 10 minutes

Temperature after t minutes ,

                                           [tex]= P ( 1 - r )^t\\\\=100( 1 - 0.12)^10\\\\=100(0.278500976)\\\\=27.85[/tex]

                                           = 27.9 degree Celsius

Answer: 43

Step-by-step explanation:

Lets start with the result. First add the number you subtracted with 73

= 73+13=86

Now they had doubled it, now we instead divide it as it was multiplied. Division is the opposite of Multiplication.

86/2= 43

Hence the Answer or the First Number was 43

HOPE IT HELPS AND PLS MARK BRAINLIEST

Answer:

Ok!

Step-by-step explanation:

Answer:

Step-by-step explanation:

I honeslty don't know any of this but it is probably comparing parrallel lines.

Answer:

1: 5

2: 67

3: 65

4:  30

5: 210

6: 210

Step-by-step explanation: