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MissTica
3 years ago
8

select the irrational number? A)√9 B)√12 C)√16 D)√20 E)√25 (there should be more than one answer)

Mathematics
1 answer:
GenaCL600 [577]3 years ago
6 0
The answers are:
__________________________
    [B]:  "√12 " ;   AND:
__________________________
    [D]:  "<span>√20" .
__________________________
Note:  "Irrational numbers" have decimals that are:  1) non-terminating;  AND:  2) non-repeating.
__________________________
Consider the answer choices given; and consider the given information that there "should be no more than one answer.
__________________________________
Consider the following answer choices:
__________________________________
Choice A)  "</span><span>√9"  =  3 .  Rule out this choice.
__________________________________
Choice C)  "</span><span>√16" = 4 .  Rule out this choice.
__________________________________
Choice E)  "</span><span>√25" = 5.   Rule out this choice.
_________________________________
We are left with 2 (two) remaining answer choices:
    [B]:  "</span>√12"  ;  and:  [D]:  "<span>√20" .
_________________________________
If there are more than one answer, then these two choices should be the correct answer.   However, let us explore these two choices, using a calculator.
____________________________
    [B]:  </span>"√12"  =  3.4641016151377546

    [D]:  "√20"  =  4.4721359549995794
_________________________________
These two answer choices should the correct answers.
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1. A water wheel rung’s height as a function of time can be modeled by the equation:
Nimfa-mama [501]

Answer:

<em>-1</em>

Step-by-step explanation:

1. A water wheel rung’s height as a function of time can be modeled by the equation:

h - 8 = -9 sin6t

(b) Determine the maximum height above the water for a rung.

Given the rung's height modeled by the equation;

h - 8 = -9 sin6t

h(t) = -9sin6t + 8

At maximum height, the velocity of the rung is zero;

dh/dt = 0

dh/dt = -54cos6t

-54cos6t = 0

cos6t = 0/-54

cos6t = 0

6t = cos^-1(0)

6t = 90

t = 90/6

t= 15

Substitute t = 15 into the expression to get the maximum height;

Recall:

h(t) = -9sin6t + 8

h(15) = -9sin6(15) + 8

h(15) = -9sin90 + 8

h(15) = -9(1)+8

h(15) = -9+8

<em>h(15) = -1</em>

<em>hence the maximum height above the water is -1</em>

4 0
3 years ago
Can you help me out on this one
Bad White [126]

Answer:

I think the answer is C if I'm wrong sorry its been two years since i last learnt this

Step-by-step explanation:

6 0
3 years ago
What is the circumference of a circle with a radius of 8 in.? Use 3.14 for t.​
Ket [755]

Answer:

201

Step-by-step explanation:

3.14*8*8=201

4 0
3 years ago
-7x − 3x + 2 = −8x – 8 .<br><br> SHOW WORK!!!
denis23 [38]

-7x-3x+2=-8x-8\\\\(-7x-3x)+2=-8x-8\\\\-10x+2=-8x-8\qquad|\text{subtract 2 from both sides}\\\\-10x=-8x-10\qquad|\text{add 8x to both sides}\\\\-2x=-10\qquad|\text{divide both sides by (-2)}\\\\\boxed{x=5}

8 0
3 years ago
Read 2 more answers
A university with a high water bill is interested in estimating the mean amount of time that students spend in the shower each d
Bas_tet [7]

Answer: (4.0845,\ 6.5755)

Step-by-step explanation:

As per given , we have

n = 11

\overline{x}=5.33\\\\ s=1.33

Since population standard deviation is missing, so we use t-test.

Critical t-value for 99% confidence :

t_{\alpha/2,\ n-1}=3.106   [using two-tailed t-value table]

Confidence interval :

\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}\\\\= 5.33\pm (3.1060)\dfrac{1.33}{\sqrt{11}}\\\\\approx5.33\pm1.2455\\\\=(5.33-1.2455,\ 5.33+1.2455)\\\\=(4.0845,\ 6.5755)

Hence,  99% confidence interval for the mean amount of time that students spend in the shower each day.= (4.0845,\ 6.5755)

7 0
3 years ago
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