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padilas [110]
3 years ago
11

What is the value of c such that X^2+14x+c, is a perfect-Square trinomial?

Mathematics
1 answer:
Slav-nsk [51]3 years ago
8 0
I hope this helps you

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One of Shakespeare's sonnets has a verb in 11 of its 18 lines, an adjective in 13 lines, and both in 8 lines. How many lines hav
horrorfan [7]

Answer:

Step-by-step explanation:

The total number of lines, n(U) = 18

Let the number of lins with verb be n(V) = 11

Let the number of lines with adjectives be n(A) = 13

n(V n A) = 8

Find the number of lines that have a verb but no adjective, that is, n(V n A')

Mathematically, according to sets theory,

n(V) = n(V n A) + n(V n A')

So,

n(V n A') = n(V) - n(V n A) = 11 - 8 = 3.

Hence, only 3 lines have a verb but no adjectives.

4 0
4 years ago
The pipe fitting industry had 546.5 thousand jobs in 2015 and is expected to decline at an average rate of 3 thousand jobs per y
lesya692 [45]

Answer:

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

Step-by-step explanation:

Due to the assumption of a yearly average rate, a linear function model shall be used. The expected amount of jobs (n) after a certain amount of years (t) is given by the following formula:

n = n_{o} + \frac{\Delta n}{\Delta t}\cdot t

Where:

n_{o} - Initial amount of jobs in pipe fitting industry, measured in thousands.

\frac{\Delta n}{\Delta t} - Average yearly rate, measured in thousands per year. (A decline is indicated by a negative sign)

If n_{o} = 546.5, t = 2025-2015 = 10\,years and \frac{\Delta n}{\Delta t} = -3\,\frac{1}{years}, then:

n = 546.5+\left(-3\,\frac{1}{year}\right)\cdot (10\,years)

n = 516.5

The percent change in jobs from pipe fitting industry is calculated as follows:

\%n = \left(1-\frac{n}{n_{o}}\right)\times 100\,\%

\% n = \left(1-\frac{516.5}{546.5}\right)\times 100\,\%

\%n = 5.5\,\%

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

4 0
3 years ago
The speed v of a gear varies inversely as the number of teeth t. If a gear that has 42 teeth makes 24 revolutions per minute (rp
fgiga [73]
<span>The speed v of a gear varies inversely as the number of teeth t

</span>
if a gear that has 42 teeth makes 24 revolutions per minute
<span> Then a gear that has 24 teeth will make 42 revolutions.

Hope it helps!
</span>
6 0
4 years ago
The graph of the function, f, is shown. What is the domain of f?
pentagon [3]

Answer:

D : [-2,0) U (0, infinity) ; -2<=x<0 U x>0

6 0
3 years ago
PLs help ASP I need the answers right now, solve all of them pls
kkurt [141]

Answer:

Determine a single event with a single outcome. ...

Identify the total number of outcomes that can occur. ...

Divide the number of events by the number of possible outcomes. ...

Determine each event you will calculate. ...

Calculate the probability of each event.

Steps to finding probaility ^

7 0
3 years ago
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