Find the value of n such that x^2-19x n is a perfect square trinomial.Answer choices:
A. -19/2
B. 361/4
C. 361
D. 361/2

Answers

Answer 1
Answer:

Answer:  The correct option is (b) (361)/(4).

Step-by-step explanation:  We are given to select the correct value of 'n' such that x^2-19x+n becomes a perfect square trinomial.

The standard form of a perfect square trinomial is

(x+a)^2=x^2+2a+a^2.

Now, we can write

x^2-19x+n\n\n=x^2-2* x* (19)/(2)+(361)/(4)+n-(361)/(4)\n\n\n=(x-(19)/(2))^2+n-(361)/(4).

So, for the given expression to be perfect trinomial,

n-(361)/(4)=0\n\n\Rightarrow n=(361)/(4).

Thus, (b) is the correct option.

Answer 2
Answer: B. 361/4
you get: x^2-19x+361/4=(x-19/2)^2

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An average human heart beats 60 times per minute. If an average person lives to the age of 75, how many times does the average heart beat in a lifetime?

Answers

The average heart beat in a lifetime is 2,365,200,00 beats.

Given that,

An average human heart beats 60times per minute.

If an averageperson lives to the age of 75.

We have to determine,

How many times does the averageheart beat in a lifetime.

According to the question,

An average human heart beats 60 times per minute.

And there is 60 beats in a minute and 60 minutes in an hour,

Then,

Heart beat per hour = 60 beats × 60 minutes = 3,600 beats per hour.

Then,

The amount of beats in an hour by the number of hours in a day.

Heart beats per day = 3600 × 24 hours = 86,400 beats per day

Then,

The number of days in a year is 365 in a year, but use the flat rate of 365 since that is generally the accepted answer.

Heart beat per year = 86,400 × 365 days = 31,536,000 beats per year

Therefore,

An average person lives to the age of 75,

Heart beat in a lifetime to age of 75 years,

= 31,536,000 × 75 years = 2,365,200,00 beats in a lifetime.

Hence, The average heart beat in a lifetime is 2,365,200,00 beats.

To know more about Average value click the link given below.

brainly.com/question/13820877

Answer:

The average number of beats in a lifetime would be 2,365,200,000

Step-by-step explanation:

To find the amount we need to take basic steps. The first step is multiplying the number of beats to find out how many are in an hour. Since there are 60 in a minute and 60 minutes in an hour, multiply the two.

60 beats * 60 minutes = 3,600 beats per hour.

Now multiply the amount of beats in an hour by the number of hours in a day.

3,600 * 24 hours = 86,400 beats per day

Now multiply the number of days in a year. Technically there is 365 1/4 in a year, but we'll use the flat rate of 365 since that is generally the accepted answer.

86,400 * 365 days = 31,536,000 beats per year

And now we take that number and multiply by the number of years that he lines

31,536,000 * 75 years = 2,365,200,00 beats in a lifetime

Angelica had two jobs last year, and she received two W-2 forms. On the first W-2 form, the figure in box 1 was $13,638.26, while on the second W-2 form, the figure in box 1 was $8791.42. What was Angelica's gross income from the two jobs last year?A.$11,214.84
B.$5607.42
C.$4846.84
D.$22,429.68

Answers

Angelica's gross income from the two jobs for the last year is $22,429.68. 

You would get this by adding $13,638.26 + $8,791.42 = $22,429.68. 

The correct answer is D. 

Answer:

Angelica's gross income from the two jobs last year is $22,429.68

Step-by-step explanation:

Angelica had two jobs last year, and she received two W-2 forms.

On the first W-2 form, the figure in box 1 was $13,638.26,

while on the second W-2 form, the figure in box 1 was $8791.42.

Income from first job is $13,638.26

Income from second job is $8791.42

Total income = first job income + second job income

=13638.26 + 8791.42 = 22,429.68

Angelica's gross income from the two jobs last year is $22,429.68

Jan bought a blazer for $39.90. The price of the blazer was $38. What sales-tax rate was she charged for this blazer percentage wiese

Answers

Answer:

5% sales-tax rate was she charged for this blazer

Step-by-step explanation:

As per the statement:

Jan bought a blazer for $39.90.

The price of the blazer was $38.

Sales tax price = 39.90 - 38 = $1.90

We have to find the sales-tax rate was she charged for this blazer percentage wise.

Using formula:

\text{Sales tax rate} = \frac{\text{Sale tax}}{\text{Price of the blazer}} * 100

Substitute the given value we have;

\text{Sales tax rate} = (1.90)/(38) * 100 = 5\%

Therefore, 5% sales-tax rate was she charged for this blazer percentage wise

The question asks for sales tax rate. Sales tax is 39.90-38=1.90 and that's taxed onto the original $38 so 1.9/38=0.05
5% tax on the blazer

Somebody help (no links please) this is stressing me rn cause this assignment is almost due.

Answers

Step-by-step explanation:

11)

d=√[(-2-(-3))^2+(3-10)^2]=√(-2+3)^2+(-7)^2

=√1+49=√50=7.07 approximately

12)

M (((-1)+(-7))/2 , (2+(-4))/2)=(-8/2 , -2/2)=(-4 ,-1)

Which comes first domain or range

Answers

they are intertwined the domain is the allowed values of the independent varialbles and the range is the allowed values of the dependent variable.
in order for this to work.range comes first because for example a 100-500 range between the phone cost

HELP PLSS I WILL GIVE U MANY POINTS!Question 27 options:
If the side lengths of a square are increased by 300%,

a) How many times as large are the enlarged square's sides compared to the sides of the original, smaller square?

Answers

3 times larger because 300% is 3 times.