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Fantom [35]
2 years ago
8

Please answer its urgent‼️‼️‼️

Mathematics
1 answer:
loris [4]2 years ago
5 0

Answer:

-30 m

Step-by-step explanation:

lmk if its right

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The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T min
Maslowich

Answer:

67.3°C

Step-by-step explanation:

A = 25, T(0) = 100, T(1) = 90, find T(4)

dT/dt = -k(T - A)

d(T - A)/dt = -k(T - A)

d(T - A)/(T - A) = -k dt

ln(T - A) = lnC - kt

T(t) -A=Ce^{-kt}\\T(t) = A + Ce^{-kt} = 25 + Ce^{-kt}\\T(0) = 25 + C = 100\\C=75

T(t) = 25 + 75e^{-kt}\\T(1) = 25 + 75e^{-k} = 90\\75e^{-k} = 65\\e^{-k} = \frac{65}{75}, k = ln\frac{75}{65} = 0.1431\\T(t) = 25+75e^{-0.1431t}\\T(4) = 25+75e^{-0.1431\times4} = 67.3

4 0
2 years ago
Figure PQRS is a parallelogram. The expressions represent the measures of the angles in degrees. Parallelogram P Q R S is shown.
ch4aika [34]

Answer:

20°

Step-by-step explanation:

the sum of the angles gives 180°

20+2x+6x=180

20+8x=180°

8x=180-20

x=160°÷8°

x=20°

thank you!

7 0
3 years ago
Read 2 more answers
At the movie theatre, child admission is $5.20 and adult admission is $9.00 . On Saturday, 156 tickets were sold for a total sal
stiks02 [169]

We can solve this by using systems of equations.

Let's find our first formula, how much money was made using the tickets.

5.20x + 9y = 1027.80

Here x is how many child tickets we sold and y is how many adult tickets we sold. Now that we have defined that, we can make another formula for the total tickets sold!

x + y = 156 since we sold 156 tickets that could be any combination of child and adult tickets.

Let's solve this system. I'm going to use <em>substitution</em> so I'm going to take our second formula and subtract both sides by x to get y = 156 - x.

Now I will plug this in the first equation for y to get You plug it in for y to get 5.20x + 9 (156-x) = 1027.8.

From this you can solve for x to get x = 99.

Since x + y = 156

99 + y = 156

y = 57

There were 99 child tickets and 57 adult tickets.

3 0
3 years ago
How to find the maximum height projectile motion?
ziro4ka [17]
Y=v(initial)*t+1/2at^2
since the velocity is zero at the maximum height then we get
y=1/2at^2
a is just acceleration due to gravity so a=g which is 9.8 m/s^2.
so y=1/2gt^2.
7 0
3 years ago
Part 1 of 2
gogolik [260]

Answer:

The error is when 6y = 12 it will be -6y = 12 and the intercept would be -2.

Step-by-step explanation:

5 0
1 year ago
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