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Reil [10]
1 year ago
8

Louis Rahn is currently earning an annual salary of $25,090 at Budgett

Mathematics
1 answer:
Doss [256]1 year ago
7 0

Answer:

$30.19

Step-by-step explanation:

find out how much he works per week at each place by dividing each anual sallary by 52

subtract tthe first weekly sallary from the second weekly salary.

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In a group of 90 students, 65 watch rugby, 71 play a sport and 15 do neither.
Dimas [21]

Answer:

\frac{14}{75} probability of selecting a student who plays a sport but does not watch rugby out of the people who play a sport.

Step-by-step explanation:

"Find the probability that a student chosen at random from those who play a sport  does not watch rugby."

90-15= 75 students either play a sport OR watch rugby

65+71-75=

136-75=

61 people play a sport AND watches rugby

14 people play a sport and DOES NOT watch rugby

\frac{14}{75} is the probability of selecting a student who plays a sport but does not watch rugby out of the people who play a sport.

4 0
2 years ago
A thin sheet of ice is in the form of a circle. If the ice is melting in such a way that the area of the sheet is decreasing at
elena-14-01-66 [18.8K]

Answer:

dx/dt  =  0,04 m/sec

Step-by-step explanation:

Area of the circle is:

A(c) =π*x²      where   x is a radius of the circle

Applying differentiation in relation to time we get:

dA(c)/dt   =  π*2*x* dx/dt    

In this equation we know:

dA(c)/dt  = 0,5 m²/sec

And are looking for dx/dt then

0,5  = 2*π*x*dx/dt    when the area of the sheet is 12 m²  (1)

When  A(c) = 12 m²      x = ??

A(c)  =  12  =  π*x²      ⇒    12  =  3.14* x²    ⇒  12/3.14  =  x²

x²  = 3,82     ⇒   x  = √3,82    ⇒  x = 1,954 m

Finally plugging ths value in equation (1)

0,5  = 6,28*1,954*dx/dt

dx/dt  =  0,5 /12.28

dx/dt  =  0,04 m/sec

7 0
2 years ago
Read 2 more answers
Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is
Digiron [165]

Answer:

(3)11

Step-by-step explanation:

We are given that

(x^2-12x+35)(x^2+10x+24)=504

We have to find the sum of positive roots of the equation.

x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504

x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504

x^4-2x^3-61x^2+62x+840-504=0

x^4-2x^3-61x^2+62x+336=0

Factor of 336

2,3,4,6,8,7,

Let x=2

2^4-2^4-61(2^2)+62(2)+336\neq0

x=2 is not the root of equation

x=-2

(-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

3^4-2(3^3)-61(3^2)+62(3)+336=0

Therefore, x=3  is the root of equation.

(x+2)(x-3)(x^2-x-56)=0

(x+2)(x-3)(x^2-8x+7x-56)=0

(x+2)(x-3)(x(x-8)+7(x-8))=0

(x+2)(x-3)(x-8)(x+7)=0

x-8=0\implies x=8

x+7=0\implies x=-7

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

4 0
2 years ago
Sociologists studying the behavior of high school freshmen in a certain state collected data from a random sample of freshmen in
timurjin [86]

Answer:

C

Step-by-step explanation:

Stay safe hope this helps

5 0
2 years ago
Read 2 more answers
Find the solution of this system of equations -2x + 8y = 14 -2x – 2y = -26
Elodia [21]
X cancels out, 8y + 2y is equal to 10y, and 26 + 14 is 40, so y=4
5 0
2 years ago
Read 2 more answers
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