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Aleks04 [339]
3 years ago
7

Find a counterexample for the statement. If p is prime, then p2 + 4 is prime.

Mathematics
1 answer:
uysha [10]3 years ago
7 0
P=2 then 2^2+4=8
P=11 then 11^2+4=125
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11/10=n/14 Please solve this will give brainliest for the correct answer
Talja [164]

\text{ Hi there! =)}

\large\boxed{n = 15.4}

\frac{11}{10} =\frac{n}{14} \\\\\text{ Cross multiply to solve for n:}\\\\11 * 14 = 10 * n\\\\154 = 10n\\\\n = 15.4

8 0
2 years ago
the ratio of students with bikes to students with scooters in the school is 85:51. What is the greatest common factor that you c
Vikentia [17]
Answer:GCF=17

To find the greatest common factor, or GCF, of the numbers, we first need to list the prime factors of both 85 and 51

52=3*17

85=5*17

17 is the sole common factor that these two numbers have in common, therefore 17 is the GCF.

To simplify the ratio, simply divide both numbers by 17.

85:51 becomes 5:3
5 0
3 years ago
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Evaluate the integral from 0 to 1/2 of xcospixdx
aleksklad [387]
\bf \int\limits_{0}^{\frac{1}{2}}xcos(\underline{\pi x})\cdot dx\\
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-----------------------------\\
thus\implies \int\limits_{0}^{\frac{1}{2}}xcos(u)\cdot \cfrac{du}{\pi }
\\\\
\textit{wait a sec, we need the integrand in u-terms}\\
\textit{what the dickens is up with that "x"?}\qquad well\\
-----------------------------\\
u=\pi x\implies \frac{u}{\pi }=x\\
-----------------------------\\\bf thus
\\\\
\int\limits_{0}^{\frac{1}{2}}\cfrac{u}{\pi }cos(u)\cdot \cfrac{du}{\pi }\implies 
\int\limits_{0}^{\frac{1}{2}}\cfrac{u}{\pi }\cdot \cfrac{cos(u)}{\pi }\cdot du\implies 
\cfrac{u}{\pi^2}\int\limits_{0}^{\frac{1}{2}}cos(u)\cdot  du\\
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\textit{now, let us do the bounds}
\\\\
u\left( \frac{1}{2} \right)=\pi\left( \frac{1}{2} \right)\to \frac{\pi }{2}
\\\\
u\left( 0 \right)=\pi (0)\to 0\\
-----------------------------\\\bf thus
\\\\
\cfrac{u}{\pi^2}\int\limits_{0}^{\frac{\pi }{2}}cos(u)\cdot  du\implies \cfrac{u}{\pi^2}\cdot sin(u)\implies \left[ \cfrac{u\cdot sin(u)}{\pi^2} \right]_{0}^{\frac{\pi }{2}}

5 0
3 years ago
Giovanni orders a pastry from the bakery. The price of the pastry before tax is $4.50. Giovanni wants to know the total price in
Gennadij [26K]

Answer:

$4.95

Step-by-step explanation:

7 0
3 years ago
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Find the equation of the line shown;
Snowcat [4.5K]

Answer: Assuming it means slope-intercept, the answer would be y=-2x+9

3 0
2 years ago
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