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Nitella [24]
3 years ago
10

A pot of water is being heated up the temperature of the water can be modeled by this equation with y representing the temperatu

re in degrees Fahrenheit and d representing the time in minutes that the water has be on the stove
y = 9.5x + 62.1
After how many minutes will the temperature of the water be 138.1 Fahrenheit?
|?| Minutes
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
4 0

Answer:

8 minutes

Step-by-step explanation:

To answer this, set the function y = 9.5x + 62.1 = to 138.1 and solve the resulting equation for x:

9.5x + 62.1 = 138.1

We must isolate x.  Start this process by subtracting 62.1 from both sides of this equation, obtaining:

9.5x = 76

Now divide both sides of this equation by 9.5:

x = 76/9.5 = 8

The water  reaches 138.1 degrees F after 8 minutes.

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Need help plz?????????!!!!!!
Llana [10]

Answer:

93°

Step-by-step explanation:

By exterior angle theorem:

(4x + 9)° = 2x° + (3x - 12)°

(4x + 9)° = (2x + 3x - 12)°

(4x + 9)° = (5x - 12)°

4x + 9 = 5x - 12

4x - 5x = - 12 - 9

-x = - 21

x = 21

Measure of exterior angle

= (4x + 9)°

= (4*21 + 9)°

= (84 + 9)°

= 93°

4 0
3 years ago
Below is the graph of f ′(x), the derivative of f(x), and has x-intercepts at x = –3, x = 1 and x = 2. There are horizontal tang
mojhsa [17]

Answer:

C. f has a relative maximum at x = 1.

Step-by-step explanation:

A. False.  f(x) is concave down when f"(x) is negative.  f"(x) is the tangent slope of the graph, f'(x).  So f(x) is concave down between x = -1.5 and x = 1.5.

B. False.  f(x) is decreasing when f'(x) is negative.  So f(x) is decreasing in the intervals x < -3 and 1 < x < 2.

C. True.  f(x) has a relative maximum where f'(x) = 0 and changes from + to -.

8 0
3 years ago
A soup can, shaped like a cylinder, has a diameter of 3.5 inches and a height of 5 inches. Each serving of soup is 15 cubic inch
marissa [1.9K]

Answer:

The answer to your question is Cost of a serving = $0.62

Step-by-step explanation:

Data

diameter = 3.5 in

height = 5 in

each serving = 15 in³

Cost of the can = $1.99

Process

1.- Calculate the volume of the can

Volume = πr²h

-Substitution

Volume = (3.14)(3.5/2)²(5)

-Simplification

Volume = (3.14)(3.062)(5)

-Result

Volume = 48.08 in³

2.- Use proportions and cross multiplication to find the cost of a serving.

                   48.08 in³ ---------------- $1.99

                         15  in³ ----------------  x

                          x = (15 x 1.99)/48.08

                          x = 29.85/48.08

                          x = $0.62

7 0
3 years ago
When Hugo is serving at a restaurant, there is a 0.03 probability that each party will request a high chair
tino4ka555 [31]

Answer:

.26

Step-by-step explanation:

P=(at least one high chair)

= 1−P(none of 10 with high chair)

= 1−(0.97)

      10

≈ 1−0.7374

≈ 0.2626

Rounded to the nearest hundred is .26

​

4 0
3 years ago
Which of the following are one dimensional and have infinite length
Alik [6]
I got the one that truck was coming up and
4 0
3 years ago
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