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Inga [223]
2 years ago
14

What two values can d have if d2 (squared) = 9?

Mathematics
1 answer:
Kisachek [45]2 years ago
7 0

Answer:

d = 3  &  d = -3

Step-by-step explanation:

the equation to solve is  d^2=9

Let's remember some properties of numbers and radicals.

Let's take the number 2 for example.

We know  

2^2=4

Also

(-2)^2=4 as well

Since negative TIMES negative also gives us positive.

How do we get the reverse answer? Simple. We square root it. So we would have:

\sqrt{4}=2

and

-2, since we now know this.

Let's do this process and take square root of our equation to get:

d^2=9\\d=\sqrt{9} \\d=3

and also d = -3

Hence, two values of d are  d = 3  &  d = -3

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An electrical engineer has on hand two boxes of resistors, with five resistors in each box. The resistors in the first box are l
Tju [1.3M]

Answer:

Step-by-step explanation:

given that an  electrical engineer has on hand two boxes of resistors, with five resistors in each box. The resistors in the first box are labeled 10 ohms, but in fact their resistances are 9, 10, 11, 12, and 13 ohms. The resistors in the second box are labeled 20 ohms, but in fact their resistances are 18, 19, 20, 21, and 22 ohms. The EE chooses one resistor from each box and determines the resistance of each

Sample space for selecting one resistor from first box

= {9, 10, 11, 12, 13}

A = {11,12,13} (because >10)

Sample space for selecting one resistor from second  box

={18,19,20,21,22}

B={18}

Sample space for sum would be

{27, 28, 29, 30, 31, 32, 33, 34, 35}

C = {(9,19) , (10,18)}

8 0
2 years ago
In hypothesis​ testing, does choosing between the critical value method or the​ P-value method affect your​ conclusion? Explain.
Artist 52 [7]

Answer:​

The correct answer is No.

Choosing between the critical value method or the P-value method does not affect one's conclusion because both methods look at the probability of the test​ statistic's and its level of significance .

Given the methodology utilized by both methods, they usually arrive at the same conclusion.

Cheers!

8 0
2 years ago
3/5y+a=b, solve for y
AlexFokin [52]
Y=-5a+5b/3 Thats what I got.
3 0
2 years ago
Read 2 more answers
While shopping for clothes Tracy spent $38 less than three times what Daniel spent right and solve an equation to find how much
Gnom [1K]

Answer:

y=3x-38

Step-by-step explanation:

We know that Tracy spent $38 in less than 3 times than what Daniel spent. Given this information we can put our eqaution together.

Y=3x-38

Hope this helps! :)

6 0
2 years ago
this squared based pyramid is cut horizontally at a height of 15cm to leave this frustum base area=10cm
scoundrel [369]

Answer:

583.33 cm³

Step-by-step explanation:

From the image attached, the total height (H) of the pyramid is 30 cm, the height of the frustrum (h) = 15 cm, the Frustrum base = lower base = B = 10 cm . To find the length of the upper base (b), we use:

\frac{b}{H-h}=\frac{B}{H}\\  b=(H-h)\frac{B}{H}\\b=(30-15)\frac{10}{30}=5\\b=5\ cm

The volume of the frustrum is given by:

V=\frac{1}{3}h(B_1+B_2+\sqrt{B_1B_2} )\\ Where\ B_1\ is \ the\ area \ of\ the\ upper\ base= 5cm*5cm=25cm^2\\B_1\ is \ the\ area \ of\ the\ lower\ base= 10cm*10cm=100cm^2\\V=\frac{1}{3}(10)(25+100+\sqrt{25*100} )=583.33\\V=583.33\ cm^3

6 0
2 years ago
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