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3 years ago

Write a sentence to describe the ratio in the context of the situation

Mathematics

1 answer:

AlexFokin [52]3 years ago

6 0

Answer:

ratio compare

Step-by-step explanation:

thats why

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Write a rule for the sequence.

ololo11 [35]

Answer:

Step-by-step explanation:

4X2 is 8 8x2 is 16 16x2 is 32

6 0

3 years ago

Find the sum of the first 25 multiples of 10.<br>

poizon [28]

Answer:

Step-by-step explanation: So the first 25 multiples of 10 are ,

10,10,10,10 ect, to 25 the sum of all of the numbers is 250 i hope this helped!!!

3 0

3 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.

4 0

3 years ago

Francisco spent 25 minutes on the internet yesterday is this is 5/6 of the time she spent on the computer how long did she spend

m_a_m_a [10]

30 minutes. the easiest way is to use the opposite of the fraction. divide 25 / 5= 5. now multiply by 6. 5*6= 30.

7 0

3 years ago

(Algebra 1) I HAVE BEEN STUCK ON THIS PROBLEM AND I NEED YOUR HELPPPP!!!!!!

larisa [96]

Answer:

d = (1/20) t + 2

Step-by-step explanation:

∵ The equation of Monika is:

d = (1/15)t + 1 ⇒ linear equation

∴ The slope of the line = 1/15 ⇒ speed of Monika

∵ The speed of Mark is 3/4 as fast as Monika

∴ The speed of Mark = 3/4 × 1/15 = 1/20

∵ Mark starts a mile behind her

∵ at t = 0 ⇒ her distance is 1

∴ at t = 0 ⇒ his distance is 2

∴ His equation is d = (1/20) t + 2

4 0

3 years ago