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2 years ago

What value in place of the question mark makes the polynomial below a perfect square trinomial?

Mathematics

1 answer:

UkoKoshka [18]2 years ago

7 0

Answer:

144

Step-by-step explanation:

$x^2+24x +144\\\\=x^2 + 2\cdot 12x +12^2\\\\=(x+12)^2$

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What is the upper quartile of the following set 28, 45, 12, 34, 36, 45, 19, 20

Nataly_w [17]

Answer:

Q3 = 40.5

Step-by-step explanation:

The first step to solve your exercise is ordering all the elements of the data set.

So the ordered data set is:

12, 19, 20, 28, 34, 36, 45, 45

The upper quartile is the median of the upper half of a data set. Mathematically, the upper quartile is the term at the position P defined by the equation below

$P = \frac{3(n+1)}{4}$

This exercise data-set has a cardinality of 8, so n = 8.

$P = \frac{27}{4}$

However, P = 6.75. When the decimal part is .75, we subtract .25, so P = 6.50.

So, the upper qurtily is the average between the 6th and 7th terms in the ordered set.

Uq = Q3 = (45+36)/2 = 40.5

8 0

3 years ago

Read 2 more answers

Calculate the current in an Inductor if the energy stored is 240J and the Inductance is 24H.

SCORPION-xisa [38]

Answer:

Current, I = 4.47 Amperes.

Step-by-step explanation:

Given the following data;

Inductance = 24H

Energy stored, Eind = 240J

To find the current;

The energy stored in an inductor is given by the formula;

Eind = ½LI²

240 = ½*24*I²

Cross-multiplying, we have;

480 = 24I²

I² = 480/24

I² = 20

Taking the square root of both sides, we have;

Current, I = 4.47 Amp

6 0

2 years ago

A contestant has to eat 45 hot dogs in 9 minutes to beat the record for hot dog eating. How much time does the contestant have t

Nutka1998 [239]

Answer:

Step-by-step explanation:

If the contestant has 9 minutes for 45 hotdogs, then you would have to divide 45 by 9 to get the answer. 45 divided by 9 is 5.

Then, to see if your answer makes sense, you would multiply 9 by 5 to see if you get 45, which you do.

3 0

3 years ago

Please please help me

miskamm [114]

Answer:

$3 {x}^{2} - 2x + 1$

$now \: \: x = 4$

$3 {(4)}^{2} - 2(4) + 1$

$3(16) - 8 + 1$

$48 - 8 + 1 = 41$

41 is the answer

4 0

1 year ago

A cone has a radius of 5.1 inches and a height of 5 inches.

Luda [366]

Where’s the cone? Is there a picture of a cone? I can’t really solve this, I’m sorry if I bother you

8 0

2 years ago