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Wewaii [24]
2 years ago
15

A spring stretches by 21.0 cm when a 135 n object is attached. what is the weight of a fish that would stretch the spring by 49

cm?
Mathematics
1 answer:
Akimi4 [234]2 years ago
8 0
If the stretch is proportional to the weight, it will satisfy
   weight/(49 cm) = (135 N)/(21 cm)
   weight = (49/21)×135 N
   weight = 315 N

The weight of the fish would be 315 N.
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The Rockville Employment Agency just placed Howard Jacobson in a job as a junior pharmacist. The job pays $51.2k. The agency fee
yan [13]

His annual salary as a pharmacist is $51,200

There are a total of 52 weeks in an year.

(a) Weekly salary = annual salary/ number of weeks = 51,200/52 = $984.62 (rounded to the nearest cent)

Howard's weekly salary to the nearest cent = $984.62

(b) His salary in first three weeks = 984.62*3 = $2,953.85

Howard's earnings during the first three weeks  to the nearest cent  = $2,953.85

(c) He has to pay the agency 40% of his three week salary which is = 0.4*2953.85 =1,181.54

Howard must pay to  the employment agency to the nearest dollar = $1,182

6 0
2 years ago
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 – 6x8 + x3 – 4x + 3?
scoundrel [369]

we have

f(x) = 15x^{11} -6x^{8} + x^{3} - 4x + 3

we know that

<u>The Rational Root Theorem</u> states that when a root 'x' is written as a fraction in lowest terms

x=\frac{p}{q}

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.

So

in this problem

the constant term is equal to 3

and the first monomial is equal to 15x^{11} -----> coefficient is 15

So

possible values of p are 1, and\ 3

possible values of q are 1, 3, 5, and\ 15

therefore

<u>the answer is</u>

The all potential rational roots of f(x) are

(+/-)\frac{1}{15},(+/-)\frac{1}{5},(+/-)\frac{1}{3},(+/-)\frac{3}{5},(+/-)1,(+/-)3


3 0
2 years ago
Read 2 more answers
A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium
frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

Since a total of 47 hats where purchased,  hence:

x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

-x + 3y = 0    (3)

Represent equations 1, 2 and 3 in matrix form gives:

\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&1\\5.5&6&7\\-3&1&0\end{array}\right] ^{-1} \left[\begin{array}{c}47\\302\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}6\\18\\23\end{array}\right]

Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

5 0
2 years ago
A bag contains 4 tan socks and 7 grey socks. emily reaches into the bag and randomly selects two socks without replacement. what
Y_Kistochka [10]
Tan socks = 4
Grey socks = 7
Total number of socks = 4+7 = 11 socks
Probability of picking a tan sock then grey sock:
P(T)*P(G) = (4/11)*(7/10) = 14/54

Probability of picking a Grey sock then Tan sock
P(G)*P(T) = (7/11)*(4/10) = 14/55

Probability of two different colored socks
P(T&G)+P(G&T) = (14/55)+(14/55) = 28/55
8 0
2 years ago
Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?
gogolik [260]
A. because pi is a irrational # 

5 0
2 years ago
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