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Andrews [41]
3 years ago
6

The temperature at noon is 0°C. The temperature changes buy-3/2°C every hour for 4 hours. Write a expression to represent this s

ituation. What is the temperature at 4:00pm?
Mathematics
1 answer:
aniked [119]3 years ago
6 0

Answer:

So the temperature at 4:00 pm which is exactly 4 hours from 12 noon is -3/2°c

T = To + (-3/2°c)x

Where x is the fraction of 4 in hours

Step-by-step explanation:

Its a very simple Expression.

First we consider the first temperature at first time which is 0°c at 12 noon which I initial time, i.e t= 0.

For every four hour change , the temperature adds -3/2°c .

So the temperature at 4:00 pm which is exactly 4 hours from 12 noon is -3/2°c

The expression to know the temperature is

T = To + (-3/2°c)x

Where x is the fraction of 4 in hours

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Write the ratio as a fraction in simplest form , 24 : 38
Harrizon [31]
12 : 19...................
7 0
3 years ago
Given f(x) = -6x - 1 and g(x) = x3, choose<br> the expression for fºg)(x).
Gelneren [198K]

Answer:

- 6x³ - 1

Step-by-step explanation:

Substitute x = g(x) into f(x), that is

(f ○ g)(x)

= f(x³ )

= - 6(x³) - 1

= - 6x³ - 1

4 0
2 years ago
I REALLY need help with these 3 questions plz!!!!
Tanzania [10]

Answer:

6. No. See explanation below.

7. 18 months

8. 16

Step-by-step explanation:

6. To rewrite a sum of two numbers using the distributive property, the two numbers must have a common factor greater than 1.

Let's find the GCF of 85 and 99:

85 = 5 * 17

99 = 3^2 + 11

5, 3, 11, and 17 are prime numbers. 85 and 99 have no prime factors in common. The GCF of 85 and 99 is 1, so the distributive property cannot be used on the sum 85 + 99.

Answer: No because the GCF of 85 and 99 is 1.

7.

We can solve this problem with the lest common multiple. We need to find a number of a month that is a multiple of both 6 and 9.

6 = 2 * 3

9 = 3^2

LCM = 2 * 3^2 = 2 * 9 = 18

Answer: 18 months

We can also answer this problem with a chart. We write the month number and whether they are home or on a trip. Then we look for the first month in which both are on a trip.

Month                Charlie          Dasha

1                          home             home

2                          home             home

3                          home             home

4                          home             home

5                          home             home

6                         trip                home

7                          home             home

8                          home             home

9                          home             trip

10                         home             home

11                         home             home

12                         trip               home

13                         home             home

14                         home             home

15                         home             home

16                         home             home

17                         home             home

18                         trip                 trip

Answer: 18 months

8.

First, we find the prime factorizations of 96 an 80.

96 = 2^5 * 3

80 = 2^4 *5

GCF = 2^4 = 16

Answer: 16

7 0
3 years ago
Your mom purchased an antique lamp for $245. The value
larisa86 [58]

Answer:

y=245 * 1.035^t   $487.50

Step-by-step explanation:

y=245*1.035^20

y=245*1.9898

y=487.49827

6 0
2 years ago
PLSS HELP ME WITH ALL 3 I NEED THIS ASAP!! PLS
iragen [17]

1) angle 2 = angle 4

115 = 3x + 16

115 - 16 = 3x

99 = 3x

x = 33

2) angle 2 + angle 5 = 180 degrees

115 + angle 5 = 180

angle 5 = 180 - 115

angle 5 = 65 degrees

3) Angle 1 is equal to 120 degrees

4 0
1 year ago
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