PLEASE HELP ASAP<br><br> Which of the following are irrational?

G(t)=−(t−1)^2+5

garri49 [273]

Answer:

In the interval of - 2 ≤ t ≤ 4, the average rate of change is zero.

Step-by-step explanation:

The function is given to be $g(t) = - (t - 1)^{2} + 5$ ............ (1)

(i) Now, for 1 ≤ t ≤ 4, we will put t = 1 and t = 4.

So, g(1) = 5, g(4) = - 4. {From equation (1)}

Hence, g(1) ≠ g(4)

(ii) Now, for - 4 ≤ t ≤ - 3, we will put t = - 4 and t = - 3.

So, g(- 4) = - 20, g(- 3) = - 11. {From equation (1)}

Hence, g(- 4) ≠ g(- 3)

(iii) Now, for -2 ≤ t ≤ 0, we will put t = - 2 and t = 0.

So, g(- 2) = - 4, g(0) = 4. {From equation (1)}

Hence, g(- 2) ≠ g(0)

(iv) Now, for - 2 ≤ t ≤ 4, we will put t = - 2 and t = 4.

So, g(- 2) = - 4, g(4) = - 4. {From equation (1)}

Hence, g(- 2) = g(4)

Therefore, in the interval of - 2 ≤ t ≤ 4, the average rate of change is zero. (Answer)

5 0

4 years ago

A right circular cylinder has a height of 19 3/4 ft and a diameter 1 2\5 times its height.

alexira [117]

Answer:

Volume of cylinder is 34833.21 ft³

Step-by-step explanation:

Given : A right circular cylinder having height $19\frac{3}{4}$ ft and diameter $\frac{12}{5}$ times its height.

Given : diameter $\frac{12}{5}$ times its height that is

diameter $\frac{12}{5}$ times $19\frac{3}{4}$ that is

Diameter = $\frac{12}{5} \times \frac{79}{4}$

Diameter = $\frac{237}{5}$ ft

Radius is half of diameter,

Radius = $\frac{1}{2} \times \frac{237}{5}=\frac{237}{10}$ ft

$\text{Volume of Cylinder}=\pi r^2h$

Substitute the values, we get,

$\text{Volume of Cylinder}= \pi (\frac{237}{10})^2 \times \frac{79}{4}$

$\text{Volume of Cylinder}= \times 3.14 \times (23.7)^2 \times 19.75$

$\text{Volume of Cylinder}=34833.21$

Thus, volume of cylinder is 34833.21 ft³

6 0

3 years ago

Suppose that a die is rolled twice. What are the possible values that the following random variables can take on: (a) the maximu

Fiesta28 [93]

Answer:

See explanation

Step-by-step explanation:

Suppose that a die is rolled twice. Each time one of 6 numbers (1, 2, 3, 4, 5, 6) can be rolled.

A. the maximum value to appear in the two rolls is 6

B. the minimum value to appear in the two rolls is 1

C. the sum of the two rolls can vary from 2 to 12 (it can be 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)

D. the value of the first roll minus the value of the second roll can very from -5 to 5 (-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5)

Here -5 can be obtained as 1 - 6 (1 on the first roll and 6 on thesecond roll), -4 can be obtained as 1 - 5 or 2 - 6 and so on.

3 0

3 years ago

Find both of the x values

gulaghasi [49]

3x - 14 = 2x + 25

+14 +14

3x = 2x + 39

-2x -2x

x= 39

therefore x is 39. If you want to find the exact angel, just substitute 39 into x, solve for it and it should give you the exact angel.

Hope I helped :)

8 0

4 years ago

Read 2 more answers

Is y= 2x cubed +6 linear or non-linear

zhuklara [117]

Non linear because nothing cubed or squared can be linear.
Hope this helps

6 0

3 years ago

PLEASE HELP ASAP Which of the following are irrational?