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sertanlavr [38]
3 years ago
12

Use the work below to answer the following question.

Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0

Step-by-step explanation:

If there is a spelling or English question then PLEASE! Put *you're*

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Use Fermat's Little Theorem to determine 7^542 mod 13.
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a^{p-1} \equiv 1 \pmod p where p is prime, a\in\mathbb{Z} and a is not divisible by p.

7^{13-1}\equiv 1 \pmod {13}\\7^{12}\equiv 1 \pmod {13}\\\\542=45\cdot12+2\\\\7^{45\cdot 12}\equiv 1 \pmod {13}\\7^{45\cdot 12+2}\equiv 7^2 \pmod {13}\\7^{542}\equiv 49 \pmod{13}

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7 0
3 years ago
Andrea hiked 3 miles last week. She could have hiked two 1 and 1/2 mile trails. Describe two other combinations of trails she co
gayaneshka [121]
She could have hiked one 2 mile trail and one 1 mile trail or she could’ve hiked one 2.5 mile trail and another 0.5 mile trail
8 0
3 years ago
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If the measure of ABC is 68, what is the measure of AB?
NARA [144]

Answer: 136 is your answer

Step-by-step explanation:

4 0
3 years ago
the half life of a medication is the time it takes for the medication to reduce to half of its original amount in a patient's bl
scoray [572]
R=S*0.5^(t/8) 
<span>R is the remaining amount </span>
<span>S is the starting amount (500) </span>
<span>0.5^ is for the HALF in half-life </span>
<span>t/8 show that every 8 ts (every 8 hours), it will be halved once </span>
<span>...so plug in 500mg for the general solution... </span>
<span>R=(500)*(0.5)^(t/8) </span>
<span>... plug in 24h to solve for after 24h </span>
<span>R=(500)*(0.5)^(24/8) </span>
<span>R=(500)*(0.5)^(3) </span>
<span>R=(500)*(0.125) </span>
<span>R=(0.0625) </span>
<span>...therefore there with be 0.0625 mg of the dose remaining</span>
6 0
3 years ago
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