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Vesnalui [34]
3 years ago
10

The expression 1.5t + 20 predicts the height in centimeters of a plant tt days from today. What is the predicted height of the p

lant 55 days from today?
Mathematics
2 answers:
PtichkaEL [24]3 years ago
8 0

Answer:

27.5

Step-by-step explanation:

Leokris [45]3 years ago
6 0

Hi there! :)

<u>Answer:</u>

The predicted height of the plant is 102.5


<u>Step-by-step explanation:</u>

The variable "t" in your expression is the number of days from today, and that the whole expression is equal to the predicted height of the plant :

"t" = number of days from today

1.5t + 20 = predicted height of the plant


You want to know the predicted height of the plant 55 days from today.

SO, in other words, you want to know what the expression is equal to when "t" is equal to 55.

In order to answer your question, you'll have to replace the "t" in the expression by its value, which is 55, and solve the expression to find what it equals to:

1.5<u>t</u> + 20 = X

<u>1.5(55)</u> + 20 = X

Multiply 1.5 by 55 → 1.5 × 55 = 82.5

<u>82.5 + 20</u> = X

Add 20 to 82.5 → 82.5 + 20 =  102.5

<u>102.5 = X</u>


There you go! I really hope this helped, if there's anything just let me know! :)

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Answer:

471 cm^3

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Step-by-step explanation:

Volume of cylinder = πr^2 × h

= 3.14 × 5^2 × 6

= 3.14 × 25 × 6

= 471 cm^3

4 0
2 years ago
When two balanced dice are rolled, the sum of the dice can be 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12, giving 11 possibilities. th
RUDIKE [14]
False.

There are 36 possible outcomes, corresponding to numbers 1-6 independently appearing on each of the dice. Only one of those outcomes is double-sixes, resulting in a sum of 12. The probability that the sum is 12 is 1/36.

In short, the 11 outcomes listed in your problem statement are not equally-likely.
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A pot of piping hot stew has been removed from the stove and left to cool.
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Step-by-step explanation:

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3 years ago
Find the roots of h(t) = (139kt)^2 − 69t + 80
Sonbull [250]

Answer:

The positive value of k will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80, roots are those values of t so that h(t) = 0. That is:

19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0 (1)

Roots are determined analytically by the Quadratic Formula:

t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}

t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }

The smaller root is t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }, and the larger root is t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321}  }.

h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80 has one real root when \frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0. Then, we solve the discriminant for k:

\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}

k \approx \pm 0.028

The positive value of k will result in exactly one real root is approximately 0.028.

7 0
3 years ago
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