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3 years ago

Simplify 3(x + 2) + 4(x - 5) 7x - 3 7x + 26 7x - 14

Mathematics

2 answers:

Molodets [167]3 years ago

7 0

Answer:

Step-by-step explanation:

2(13x – 7). 11.

Ira Lisetskai [31]3 years ago

5 0

Answer:

Step-by-step explanation:

3(x + 2) + 4(x - 5)

Opening brackets

= 3x + 6 + 4x - 20

= 3x + 4x + 6 - 20

= 7x - 14

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Is 1709 divisible by 2,3,5,6,9

coldgirl [10]

Hey mate!
Let's figure this out!

The answer is false.

1709 / 2 = 854.5
1709 / 3 = 569.6
1709 / 5 = 341.8
1709 / 6 = 184.8
1709 / 9 = 189.8

Hope this helps! :)

6 0

3 years ago

Read 2 more answers

Solve this equation.

dsp73

Answer:

X=1

Step-by-step explanation:

5 0

3 years ago

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.

4 0

3 years ago

Find 2× - 2y + 5z - 2x - y + 3z

natka813 [3]

<span>-3y+8z your welcome:)</span>

4 0

3 years ago

1.) You (or your parents) purchase a new car for $19,725.00 plus 4.75% sales tax. The down payment is $2,175.00 and you (or your

Helga [31]

Answer:

$936.94

Step-by-step explanation:

Remember, that because you paid $2,175 up front (down payment), you can borrow $2,175 less from the bank to purchase the car. So first step: Take new car price of $19,725.00 and multiply it by the sales tax percentage ($19,725 * 0.0475) to get $936.94 of tax.

4 0

3 years ago