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PilotLPTM [1.2K]
4 years ago
14

The temperature change in a chemistry experiment was -2°C every 30 minutes. The initial temperature was 6°C. What was the Temper

ature after 4 hours?
Mathematics
1 answer:
Galina-37 [17]4 years ago
8 0
Initially it was 6°,

30 minutes later it went down to 6 - 2, 
30 minutes later it went down to 6 - 2 - 2

let's check the change per intervals of 30 minutes

so after 1 interval of 30 minutes, it went down to 6 - 2

after 2 intervals of 30 minutes, it went down to 6 - 2 - 2, or just 6 -2(2)

after 3 interval of 30 minutes, it went down to 6 - 2 - 2 - 2, or just 6 -2(3)

after "x" intervals of 30 minutes, it went down to 6 - 2(x).

now, how many 30 minutes intervals are there in 4hours?  well, 8.

so after 4 hours, x = 8, thus it went down 6 - 2(8) degrees Celsius.
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Given f = 9 5 c + 32, the conversion formula for fahrenheit to celsius, solve for
Sever21 [200]
The correct answer is Choice A.

Starting with the Fahrenheit Formula, we need to subtract 32 from both sides. Next, we need to multiply both sides by 5/9 to eliminate the fraction 5/9. Doing these two steps will give you the equation in Choice A.
3 0
4 years ago
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations and inequalities about the
I am Lyosha [343]

Answer:

The Volume of the solid

V = π(1365.33) cubic units

Step-by-step explanation:

<em>Step(I)</em>:-

Given curves are  x²- y² = 64 ,  x=0 , y=-8 and y=8

The given function   x = f(y)

                            x²- y² = 64

                            x² = y² +64

The Volume of the solid generating by revolving the region bounded by the graphs of the equations

V = \pi \int\limits^a_b {x^2} \, dx

<em>Step(ii</em>):-

the limits are  y = a = -8 and y = b=8

The Volume of the solid

              V =\pi \int\limits^8_8 {(y^2+64)} \, dx

               V = \pi (\frac{y^{3} }{3} + 64 y  )_{-8} ^{8}

              V = \pi (\frac{(8)^{3} }{3} + 64 (8) -  (\frac{(-8)^{3} }{3} +64(-8) )

             V = \pi (\frac{(8)^{3} }{3} + 64 (8) -  (\frac{(-8)^{3} }{3} +64(-8) )  = \pi (\frac{1024}{3} + 1024)

V = π(1365.33) cubic units





5 0
3 years ago
Given the function h(t) = 2t to the power of 2 + 9 evaluate h(5)
jeka57 [31]

9514 1404 393

Answer:

  59

Step-by-step explanation:

Put 5 where t is and do the arithmetic.

  h(t)=2t^2+9\\\\h(5)=2\cdot5^2+9=2\cdot25+9\\\\\boxed{h(5)=59}

3 0
3 years ago
Sonu's grandmother is 80 years old and Sonu is 20 years old. how many years ago was his grandmother 7 times as old as Son? (line
Aleks [24]

Answer:

10 years ago

Step-by-step explanation:

Let x be the number of years ago

x years ago,

Sonu's grandmother was 80 - x

Sonu was 20 - x

x years ago,

the grandmother was 7 times as old as Sonu

80 - x = 7(20 - x)

80 - x = 140 - 7x

6x = 60

x = 10

6 0
3 years ago
A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose. This table shows the
lana66690 [7]

Answer:

The correct statement is (D).

Step-by-step explanation:

Compute the probabilities for the data provided:

Probability students preferring sharks:

P(\text{Students preferring sharks})=\frac{90}{95}=0.947

Probability teachers preferring sharks:

P(\text{Teachers preferring sharks})=\frac{5}{95}=0.053

Probability students preferring moose:

P(\text{Students preferring moose})=\frac{10}{20}=0.50

Probability teachers preferring moose:

P(\text{Teachers preferring moose})=\frac{10}{20}=0.50

From the above computations it can be concluded that:

  • Shark is more popular with students.
  • Moose is equally popular with students and teachers.

Thus, the correct statement is (D).

6 0
3 years ago
Read 2 more answers
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