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navik [9.2K]
2 years ago
12

Justin buys 12 pencils for $0.56 each. he pays with a $10 bill. how much change will he recieve?

Mathematics
1 answer:
blondinia [14]2 years ago
7 0

Answer:

$3.28

Step-by-step explanation:

→ Find how much he should pay

6.72

→ Subtract from original amount

10.00 - 6.72 = 3.28

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If n represents a number, then write an expression for two less than one fourth of
melomori [17]

Answer:

\frac{1}{4} n - 2

8 0
3 years ago
PLEASE HELP!
Leona [35]

Answer:

The initial temperature of the object was 37.6

Step-by-step explanation:

we have

f(t)=Ce^{(-kt)} +20

where

f(t) represent the temperature of the object in degree Celsius

t is the time in minutes

Find the value of the constant C

we have the ordered pair (4,35)

substitute in the equation and solve for C

35=Ce^{(-0.0399*4)} +20\\Ce^{(-0.0399*4)}=15\\C=15/e^{(-0.0399*4)}\\C=17.6

Find the initial value of the object

we know that

The initial temperature is the value of f(t) when the value of t is equal to zero

so

For t=0

f(0)=(17.6)e^{(-k*0)} +20\\f(0)=17.6 +20\\f(0)=37.6

therefore

The initial temperature of the object was 37.6 (I not include units)

7 0
3 years ago
Use a graphing calculator to solve the equation -2sin(theta)= 1.2 in the interval from 0 to 2pi.
elena-s [515]

Answer:

\theta=\pi +arcsin(\frac{3}{5})\approx 3.785\\\\\theta=2\pi -arcsin(\frac{3}{5} ) \approx 5.64  

Step-by-step explanation:

As you can see from the graph I attached you, the possible solutions in the interval from 0 to 2π are approximately:

\theta=3.7\\\\and\\\\\theta=5.7

So, it's useful to solve the equation too, in order to verify the result:

-2sin(\theta)=1.2\\\\sin(\theta)=-\frac{3}{5}

Taking the inverse sine of both sides:

\theta=\pi +arcsin(\frac{3}{5})\approx 3.785\\\\\theta=2\pi -arcsin(\frac{3}{5} ) \approx 5.64

Using this result we can conclude the solutions in the interval from 0 to 2π are approximately:

\theta\approx 3.785\\\\\theta \approx 5.64

8 0
3 years ago
Please help thank you
worty [1.4K]

Answer:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

7 0
3 years ago
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Genrish500 [490]

Answer:

Well, I don't know how to graph it for you, but the slope is -2/3 and the point is (-9, 5).  So, when you graph it, from the point (-9, 5), you can go 3 units to the right and 2 units down.

6 0
3 years ago
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