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blsea [12.9K]
3 years ago
14

Which ordered pair is a reflection of (3, 7) across the x-axis?

Mathematics
1 answer:
Rina8888 [55]3 years ago
6 0
(3,7) becomes (3,-7) when reflected across the x axis.
You might be interested in
1. (a) Show that 487 is prime. (b) Find the prime factorization of 2922. Show all working.
Tresset [83]

Answer:

Step-by-step explanation:

487 is a prime, because 487 is only divided by 1 or by itself

5 0
2 years ago
Triangle ABC has verticals A (3,0),B (9,5)and (7,-8) find the length of AC in simplest radical form
AlladinOne [14]
length =  \sqrt{(0+8)^2 + (3-7)^2} =  \sqrt{64 + 16} =  \sqrt{80} = 4\sqrt{5}


Answer: Length = 4√5 units.
4 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
How can we eliminate an imaginary from the denominator? Simplify 2/(3+5i) to demonstrate.
alexira [117]
Multiply by the conjugate and simplify
3/17 - 5i/17

Hope this helps! :)
7 0
3 years ago
Rafael bought a bag of candy that contains 50 pieces. 30 of those pieces4
ludmilkaskok [199]

tell rafel to be careful , he might get diabetes

Step-by-step explanation:

8 0
3 years ago
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