A large pot of water is heating up on a stove at a constant rate. After three minutes of heating it had a temperature of 100 ℉. After nine minutes of heating the temperature was at 148 ℉. Let T be the temperature and n be the number of minutes. Write a linear equation for T in terms of n.

Answers

Answer 1

Answer:

Given function:

y=9.5x+62.1

We have to find the number of minutes x, when y=138.1°F

Put value of y in function.

138.1=9.5x+62.1

Subtract 62.1 from both sides.

76=9.5x

Divide both sides by 9.5.

8=x

or

x=8 minutes

Answer: After 8 minutes the temperature of water will be 138.1°

Step-by-step explanation:

Answer 2

Answer:

T= 8n+76

Step-by-step explanation:

First you need to find the average rate of change:

( 3, 100)

(9,148)

Subtract:

148-100= 48

9-3= 6

Then divide them:

48/6=8

This is your slope, now we must find our y- intercept by using the formula

y= mx+b:

y=mx+b

Plug in what you know:

y= 8x+b

To find your y-intercept use one of the 2 points above, either (3,100) or (9,148)

Plug in your x's and y's into your almost complete equation:

100= 8(3)+b

Then solve to get b:

You should get b=76

Hope this helps


Related Questions

2 L = _____ ml can someone help? :((

Answers

Answer:

2000

Step-by-step explanation:

Answer:

2000 ml

Step-by-step explanation:

The two triangles are similar.
Solve for h.
Give an exact answer.

Answers

Answer:

4.5 m

Step-by-step explanation:

if the two triangles are similar than it would mean that zy to xy is same ratio to cb to ab which means that the second triangle is only enlarge version of the first triangle. so divide 7.2 by 1.6 and multiply 1 to get the solution of 4.5

Please help!! I have trouble in math and will give points and thanks for this!!

Answers

Answer:

-5

Step-by-step explanation:

You can count backwards from -1.

-1, -2, -3, -4, and then -5 is the blue dot.

The left side of 0 is the negative side. The right side is the positive side.

Hope this helps!

Answer:

-5

Step-by-step explanation:

If you're going backward on the number line then you are in the negative zone because of -1

Can somebody help me ??

Answers

Answer:

y = 98

z = 21

Step-by-step explanation:

in the picture, y and 82 are supplementary angles because the are same side interior angles. This means that we can create this equation:

y = 180 - 82

we get y = 98

<Y and <4z + 14 are vertical angles, so we can also say that they are equal to each other. So we can create this equation:

4z + 14 = 98

subtract 14 from both sides:

4z = 84

divide both side by 4 to find z:

z = 21

Answer:

y = 82

z  = 21

Step-by-step explanation:

You can get y almost immediately.

82 and y are supplementary. Interior angles on the same side of the transversal = 180

82 + y = 180              Subtract 82 from both sides

y = 180 - 82

y = 98

y and 4z + 14 are equal.

y = 4z + 14                Substitute for y    

98 = 4z  +  14           Subtract 14 from both sides.

98-14 = 4z

84 = 4z                     Divide by 4

84/4 = 4z/4

21 = z

Q.23 Prove that: (sin4A - cos4A + 1) = 2sin2A

Answers

Answer:

Step-by-step explanation:

I think you have the question incomplete, and that this is the complete question

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

To do this, we can start my mirroring the equation.

x² + y² = (x + y)² - 2xy,

This helps us break down the power from 4 to 2, so that we have

(sin²a)² + (cos²a)² = (sin²a + cos²a) ² - 2(sin²a) (cos²a)

Recall from identity that

Sin²Φ + cos²Φ = 1, so therefore

(sin²a)² + (cos²a)² = 1² - 2(sin²a) (cos²a)

On expanding the power and the brackets, we find that we have the equation proved.

sin^4a + cos^4a = 1 - 2sin^2a.cos^2a

Help please help I’ll give brainliest

Answers

Answer:

108

Step-by-step explanation:

Answer:  area = 78 square units

======================================

Explanation:

Rotate the arrow so that it is pointing up.

Draw a line separating the arrow into a triangle up top and a rectangle below that.

The rectangular portion has area of 6*4 = 24 square units.

-----------------

The triangular portion up to has area of

0.5*(base)*(height) = 0.5*(4+4+4)*(15-6) = 54

The base is 4+4+4 due to the '4's along the bottom of the triangle. The middle 4 might be the trickiest to spot, but keep in mind that rectangles have opposite sides that are the same length.

The height of the triangle is 15-6 since we start with an overall height of 15, and then subtract off 6 (which was the height of the rectangle).

-----------------

Once you know the areas of the triangle and rectangle, you add them up to get 54+24 = 78 square units.

The value 14 along the diagonal portions of the triangle isn't used. This information is probably put in to distract or trick students. However, if you needed to find the perimeter, then you will use the 14's.

The right hexagonal pyramid has a hexagon base with equal-length sides. The lateral faces of the pyramid are all triangles (that are exact copies of one another) with heights of 18 ft. Find the surface area of the pyramid.

Answers

Answer:

208

Step-by-step explanation:

The answer is 208 first I multiplied 18x8=144 than 8ft*5=40

40+8=48 than I did 40 +24=64 after that  I added 144+64=208 so surface area of the pyramid will be 208ft2

Answer:

352

Step-by-step explanation:


More than half of the students were excited about the project. In fact, were excited. If 10 students were not
excited about the project. how many students were excited?

Answers

Answer:1/2 divided by 10

Step-by-step explanation:

45% of a number is 180

Answers

Step-by-step explanation:

45% of number = 180

=> 100% of number = 180 * (100/45) = 400.

Hence the number is 400.

Q. Penelope is told to clean all the windows at her house. After cleaning 9 windows her job is
30% complete. How many windows does she clean in all?

Answers

Answer:

30

Step-by-step explanation:

Proportions!

30 windows in all. Look at the attachment for work.

15
0 23.7
O 25.9
0 27.5
0 29.5

Answers

Answer:

Bro just look up trig triangle calculator

Step-by-step explanation

Answer:

27.5

Step-by-step explanation:

sin(33) = 15/x

x=15/sin(33)

Write the following series in sigma notation. 4 +13 +22 + 31 +40 +49 +58​

Answers

Answer:

Step-by-step explanation:

What does x, and y equal

Answers

Answer:

x = 1.25

y = 1.75

Step-by-step explanation:

Since, the line that is 8 units long is parallel to the line that is ten units long.

Therefore, both the triangles are similar by AA postulate.

Corresponding sides of of the similar triangles are in proportion.

Therefore,

[tex] \frac{5}{x + 5} = \frac{7}{y + 7} = \frac{8}{10} \\ \\ \implies \frac{5}{x + 5} = \frac{8}{10} \\ \\ 5 \times 10 = 8(x + 5) \\ \\ 50 = 8x + 40 \\ \\ 50 - 40 = 8x \\ \\ 10 = 8x \\ \\ \frac{10}{8} = x \\ \\ x = 1.25 \\ \\ \\ \frac{7}{y + 7} = \frac{8}{10} \\ \\ 7 \times 10 = 8(y + 7) \\ \\ 70 = 8y + 56 \\ \\ 70 - 56 = 8y \\ \\ 14 = 8y \\ \\ \frac{14}{8} = y \\ \\ y = 1.75[/tex]

HELP WHATS THE ANSWER

Answers

Answer:

The answer is 0, hope this helps

The graph shows the number of centimeters a particular plant grows over time. Given the points​ (0,0) and ​(5​,8​), how many centimeters does the plant grow per​ week?

can someone help me with this problem please?

Answers

Answer:

          8 cm

m = --------------    This is the desired rate of change, the amount the plant

          5 wk              grows per 1 week.

Step-by-step explanation:

Moving from point (0, 0) to point (5, 8), we see that the x-coordinate (the 'run') increases by 5 wk and the y-coordinate (the 'rise') increases by 8 cm.  Thus we have the rate of change

          8 cm

m = --------------    This is the desired rate of change, the amount the plant

          5 wk              grows per 1 week.

Find 56(−4⋅27). Write your answer in simplest form.

Answers

Answer:

[tex]-6048[/tex]

Step-by-step explanation:

[tex]---------------------------------[/tex]

[tex]56\left(-4\cdot27\right)[/tex] = [tex]-6048[/tex] [tex]because[/tex]

[tex]---------------------------------[/tex]

[tex]56\left(-4\cdot27\right)[/tex] = [tex]?[/tex]

[tex]\left(-4\cdot27\right)[/tex] = [tex]-108[/tex]

[tex]56\left(-108\right)[/tex] = [tex]?[/tex]

[tex]56\left(-108\right)[/tex] = [tex]-6048[/tex]

[tex]---------------------------------[/tex]

Hope this helps! <3

[tex]---------------------------------[/tex]

Please help with math

Answers

Answer:

B) 10^0

Step-by-step explanation:

Well when dividing an exponent, you subtract the exponents but keep the base, this is the rule of exponents.

So in this case you got 10^-3/10^-3

SO you subtract the wo exponents and don’t forget to keep the sign

-3-(-3)

or -3+3

so 0

so final answer is 10^0

Answer:

The correct answer is B. 10(0).

Step-by-step explanation:

10^3 =

10 x 10 x 10 =

1,000

-------------------------

1,000 ÷ 1,000 = 1

10(0) = 1

Therefore, the correct answer is B. 10(0).

Hope this helps! :D

How many 1/3 yard lengths are in 1 yard

Answers

Answer:

3

Step-by-step explanation:

1/3 yard lengths times 3 equals 3 (or 1 yard).

There are 3 numbers of  1/3 yard lengths are in 1 yard.

What is the arithmetic operator?

A summation, which is the result of adding two or more numbers or quantities, is also known as a sum.

A mathematical operation known as subtraction involves two values that will be subtracted to produce a new value.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.

Division is divide of any two numbers so it will give a new divided value for example 4/2 will gives us 2.

1 yard = 1/3 yard +  1/3 yard +  1/3 yard

The lowest common multiple of the right hand will be 3

So,

1 yard = (1 + 1 + 1)/3 yard

1 yard = 3/3 yards

1 yard = 1 yard

Hence in 1 yard, there is a total of 3 numbers of 1/3 yards.

To learn more about the arithmetic operator

brainly.com/question/25834626

#SPJ2

Round 4,368 to the nearest ten

Answers

Answer:

4,370

Step-by-step explanation:

If you are looking for the nearest ten in 4,368, you round up the number 8. Eight is greater than five and not less than four, therefore, the answer is 4,370. Good Luck on whatever assignment you're doing!

Answer:
4370

Explanation:
5 or more you round to the next number. In this case 8 is above 5 so you round to the next number of 68 which is 70

Find the value of n.



2.8 ÷ n = 0.028

Answers

Answer:

100

Step-by-step explanation:

2.8/n = 0.028

2.8/0.028 = n

100 = n

Camilla has already baked five pies and she can make one pie with additional cup of sugar she buys how many additional cups of sugar does Camila need in order to bake a total of 49 pies

Answers

I used to know a Camilla, she cheated on me for my brother...pain

Rain minus the \

Which statement is true about points located in quadrant Ill in the coordinate
plane?
O A. The x-coordinate is negative, and the y-coordinate is positive.
B. The x-coordinate is positive, and the y-coordinate is negative.
C. The x-coordinate is negative, and the y-coordinate is negative,
D. The x-coordinate is positive, and the y-coordinate is positive.
Please answer TODAY DEC 15
I WILL GIVE 100 POINTS TO THE FIRST PERSON THAT ANSWERS

Answers

I think the answer is the option B:))))

Answer: C

Step-by-step explanation

I Think Its C

can u pls help me with this question ​

Answers

The answer is 4 miles and hour because at the x it is the amount of hours and 4 y falls on the line above it

Which statement(s) describe the graph of the equation x=-2? Select all that apply

Answers

Answer:

B, D.

Explanation:

When graphed out it is a vertical line. A vertical line has an undefined slope.

The x intercepts the line at (-2,0).

what is 457 times 3792 divided by 382 + 39281.028

Answers

Answer: 43817.5306178

Step-by-step explanation:

ERGENT! DUE TODAY! What is the equation in point-slope form of the line that passes through the point (3,-2) and has a slope of 2/3?

(look at image)

Answers

Answer:

y = 2/3x - 4

Step-by-step explanation:

"select all the numbers that are solutions to the equation x^3=27"

Answers

B and C

3^3 = 27
the cubed root of 27 is 3

The x = ∛27 and x = 3 are solution to the equation x³=27 option (B) and option (C) are correct.

What is a cube root?

It is defined as the sum of two or more numbers. The original number is obtained by multiplying the cube root of a number three times; for example, the cube root of x is z.

We have equation:

x³ = 27

Taking cube root both side

∛x³ = ∛27

x = ∛27

x = 3

Thus, the x = ∛27 and x = 3 are solution to the equation x³=27 option (B) and option (C) are correct.

Learn more about the cube root here:

brainly.com/question/12726345

#SPJ2

Q15) 1.0 marks
Choose the missing term in the below series.
26, 37, 50, 65, 82, ?

Answers

Answer:

82

Step-by-step explanation:

Answer:

101

Step-by-step explanation:

from the first one to second one it goes up by 11 then 13 then 15 then 17 then 19

82+19=101

Robert pays $32.04 for 6 student tickets to the basketball game. What is the cost of each student ticket?

Answers

Answer:

$5.34

Step-by-step explanation:

Step-by-step explanation:

$5.34

hope it helps!

......

A surveyor is trying to find the length of a lake. He finds a baseline distance AB of 125 m. Angle A is measured to be 41.6° and angle B is measured at 124.3°. Find the length of the lake d. Please and Thank you.

Answers

Answer:

[tex]d = 340.7m[/tex]

Step-by-step explanation:

See attachment for question illustration

From the attachment, we have:

[tex]AB = 125m[/tex]

[tex]<A = 41.6[/tex]

[tex]<B = 124.3[/tex]

Required

Solve d

First, we need to calculate <C

[tex]<A + <B + <C = 180[/tex] --- angles in a triangle

[tex]41.6+ 124.3 + <C = 180[/tex]

[tex]165.9+ <C = 180[/tex]

Make <C the subject

[tex]<C = 180 - 165.9[/tex]

[tex]<C = 14.1[/tex]

Next, we apply Sine's law to solve for d

[tex]\frac{A}{Sin\ A} = \frac{B}{Sin\ B} =\frac{C}{Sin\ C}[/tex]

In this case:

[tex]\frac{d}{Sin\ 41.6} = \frac{125}{Sin\ 14.1}[/tex]

Make d the subject

[tex]d = \frac{125 * sin\ 41.6}{sin 14.1}[/tex]

[tex]d = \frac{125 * 0.66392621265}{0.24361501178}[/tex]

[tex]d = \frac{82.9907765812}{0.24361501178}[/tex]

[tex]d = 340.663639629[/tex]

[tex]d = 340.7m[/tex]

Hence, the base of the lake is approximately 340.7m

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