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Degger [83]
2 years ago
5

A small metal bar whose temperature is 30 C is dropped into a container of 75 C

Mathematics
1 answer:
Mariulka [41]2 years ago
4 0

It would take about 40 seconds for the temperature to reach 70°C and 44 second to reach 74°C.

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the temperature of the metal bar after x seconds, hence:

Since the metal bar has an initial temperature of 30°C, hence:

b = 30, also m = 1°C (increase), The equation becomes:

y = 1(x) + 30 = x + 30

To reach 70°C:

70 = x + 30

x = 40 seconds

To reach 74°C:

74 = x + 30

x = 44 seconds

It would take about 40 seconds for the temperature to reach 70°C and 44 second to reach 74°C.

Find out more on Linear equation at: brainly.com/question/14323743

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Calculate the area of the shaded region
velikii [3]

Answer:

48π or 150.72

Step-by-step explanation:

The radius of the big circle is 8.

We can use that to find the area of the big circle.

Area is πr^2

π(8)^2

64π

Now, we can find the area of the small circle.

The diameter of that is 8, meaning the radius is 4.

πr^2

π(4)^2

16π

Now we subtract the area of the small circle from the area of the big circle to get the area of the shaded region.

64π-16π=48π

As a decimal: 48*3.14=150.72

4 0
3 years ago
A CD has a 5% chance of being a smash hit and profiting $5.2 million, a 50% chance of being a modest success and profiting $0.9
Zinaida [17]
The probability of profiting $5.2 million is 5% = 0.05

The probability of profiting $0.9 million is 50% = 0.5

The probability of breaking even, meaning no profit gain, is 45% = 0.45

Expected profit values of the CD is given by
(0.05×5.2) + (0.5×0.9) + (0.45×0) = 0.26+0.45+0 = 0.71 million

3 0
3 years ago
Calculate the area of each circle
Triss [41]

Answer:

1.54 in²

Step-by-step explanation:

Given that,

→ Radius (r) = 0.7 in

Formula we use,

→ πr²

The area of the circle will be,

→ πr²

→ (22/7) × 0.7 × 0.7

→ (22/7) × 0.49

→ [ 1.54 in² ]

Hence, area of circle is 1.54 in².

8 0
2 years ago
The answer to this question here in the photo cause I don’t know this
Lady bird [3.3K]

Answer:

19.

Step-by-step explanation:

PEMDAS.
3^2=9
5 x 2 + 9
10 + 9 = 19

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2 years ago
Please help me !!! anything helps
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