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2 years ago

Help #2-8 please thank you !

Mathematics

1 answer:

lapo4ka [179]2 years ago

3 0

2. $1.75
3. $1.65
4. $1.05
5. $1.55
6. $1.20
7. $1.50
8. $1.29

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Whats 3a+a+5b-2b using the indicated operations

Pepsi [2]

Answer:

4a + 3b

Step-by-step explanation:

3a + a + 5b - 2b

3a + s = 4a

5b - 2b = 3b

6 0

2 years ago

Read 2 more answers

A roast turkey is taken from an oven when its temperature has reached 185 degrees F and is placed on a table in a room where the

Vedmedyk [2.9K]

(a) Using Newton's Law of Cooling, $\dfrac{dT}{dt} = k(T - T_s)$ , we have $\dfrac{dT}{dt} = k(T - 75)$ where T is temperature after T minutes.
Separate by dividing both sides by T - 75 to get $\dfrac{dT}{T - 75} = k dt$ . Integrate both sides to get $\ln|T - 75| = kt + C$ .

Since $T(0) = 185$ , we solve for C:
$|185 - 75| = k(0) + C\ \Rightarrow\ C = \ln 110$
So we get $\ln|T - 75| = kt + \ln 110$ . Use T(30) = 150 to solve for k:
$\ln| 150 - 75 | = 30k + \ln 110\ \Rightarrow\ \ln 75 - \ln 110= 30k \Rightarrow \\ k= \frac{1}{30}\ln (75/110) = \frac{1}{30}\ln(15/22)$

So

$\ln|T - 75| = kt + \ln 110 \Rightarrow |T - 75| = e^{kt + \ln110} \Rightarrow \\ \\
|T - 75| = 110e^{kt} \Rightarrow T - 75 = \pm110e^{(1/30)\ln(15/22)t} \Rightarrow \\
T = 75 \pm110e^{(1/30)\ln(15/22)t}$

But choose Positive because T > 75. Temp of turkey can't go under.

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} \\
T(45) = 75 + 110e^{(1/30)\ln(15/22)(45)} = 136.929 \approx 137{}^{\circ}F$

(b)

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} = 75 + 110(15/22)^{t/30} \\
100 = 75 + 110(15/22)^{t/30} \\
25 = 110(15/22)^{t/30} 
\frac{25}{110} = (15/22)^{t/30} \\
\ln(25/110) / ln(15/22) = t/30 \\
t = 30\ln(25/110) / ln(15/22) \approx 116\ \mathrm{min}$

Dogs of the AMS.

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2 years ago

2{ 5[12+5 (500 - 100)+399]}

notsponge [240]

This is solved by breaking the equasion down.

2 { 5 [12 + 5 (500 - 100) + 399 ]}

2 { 5 [12 + 5 (400) + 399]}

2 { 5 [12 + 2000 + 399]}

2 { 5 [2411]}

2 {12055}

24110

Is this the answer you were looking for?

3 0

3 years ago

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The ratio of apples to orgens is 1 to 3

-BARSIC- [3]

Because the ratio is 1 to 3. It means that For every one apple there are 3 oranges. So If there are 2 apples, there would n 6 oranges. If there are twelve apples, there would be 36 oranges. To find the number of oranges for the amount of apples, just multiply the number of apples by 3.

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3 years ago

Find the smallest solution to the equation 2/3 X² equals 24

iren [92.7K]

Answer:

The smallest solution is -6

Step-by-step explanation:

2/3 x^2 = 24

Multiply each side by 3/2

3/2 *2/3 x^2 = 24*3/2

x^2 = 36

Take the square root of each side

sqrt(x^2) = sqrt(36)

x = ±6

The smallest solution is -6

The largest solution is 6

4 0

3 years ago