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Gennadij [26K]
3 years ago
13

The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation T(t) = 69e−0.0174t + 79. To

the nearest degree, what is the temperature of the object after one and a half hours?
Mathematics
1 answer:
Papessa [141]3 years ago
5 0

Answer: T(90) = 93.413 F

Step-by-step explanation:

The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation

T(t) = 69e−0.0174t + 79.

T is the dependent variable while t is the independent variable. To determine any value for Temperature, we will input the corresponding value for time into the function.

We want to determine the temperature of the object after one and a half hours. This means that we have to convert one and a half hours to minutes

1f 1 hour = 60 minutes

Then 1.5 hours = 1.5 × 60 = 90 minutes.

We would substitute t = 90 minutes into the equation, it becomes

T(90) = 69e−0.0174×90 + 79

T(90) = 69e−1.566 + 79

T(90) = 14.413 + 79

T(90) = 93.413 F

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jasenka [17]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
18) The degree of P(x) = (x-1)(x+2)(x+3)(2x-5) is<br><br><br>4<br>3<br>2<br>1​
Fantom [35]

Answer:

degree 4

Step-by-step explanation:

The degree of a polynomial is determined by the term with the largest exponent for the polynomial in standard form

Given

P(x) = (x - 1)(x + 2)(x + 3)(2x - 5)

We need only consider the product of the leading terms in each factor, that is

x(x)(x)(2x) = 2x^{4} ← is the leading term in the expansion of the factors

with exponent 4

Thus polynomial is of degree 4

3 0
3 years ago
Belle bought 18 seeds in order to plant an herb garden for her grandma. Of the seeds she bought, 10 were parsley seeds.
Harrizon [31]

Answer:

  0.3431

Step-by-step explanation:

Here, it can work well to consider the seeds from the group of 18 that are NOT selected to be part of the group of 15 that are planted.

There are 18C3 = 816 ways to choose 3 seeds from 18 NOT to plant.

We are interested in the number of ways exactly one of the 10 parsley seeds can be chosen NOT to plant. For each of the 10C1 = 10 ways we can ignore exactly 1 parsley seed, there are also 8C2 = 28 ways to ignore two non-parsley seeds from the 8 that are non-parsley seeds.

That is, there are 10×28 = 280 ways to choose to ignore 1 parsley seed and 2 non-parsley seeds.

So, the probability of interest is 280/816 ≈ 0.3431.

___

The notation nCk is used to represent the expression n!/(k!(n-k)!), the number of ways k objects can be chosen from a group of n. It can be pronounced "n choose k".

6 0
3 years ago
CITY |. Temperature (°F) St. Louis | 32 Montreal |. -18 Buffalo. | -8 Orlando. |. 68 Juneau. |. -26 By noon, the temperature In
Leno4ka [110]

Answer:

6°F

58°F

Step-by-step explanation:

From the data Given :

Temperature rise in Buffalo by noon time = 14°F

The initial temperature at Buffalo = - 8°F

Rise in temperature = 14°F

Therefore, temperature at noon = (-8 + 14)°F = 6°F

B.)

Temperature at 6am in St. Louis = 32°F

Temperature at 6am in Juneau = - 26°F

Temperature difference :

(32 - (-26))°F

32 + 26

= 58°F

Temperature in St. Louis is 58°F higher

8 0
3 years ago
Which number is a perfect square<br> 32<br> 144<br> 1000<br> 36000
galben [10]
144 is a square of 12

Hope this helps!
4 0
3 years ago
Read 2 more answers
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