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3241004551 [841]
3 years ago
7

Let p(n) be the number of primes less than n. What is p(50)

Mathematics
1 answer:
Fofino [41]3 years ago
8 0

Answer:

There are 15 prime numbers less than 50

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53

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Given that f(x)= x2+3 and g(x)= x+4/3 solve for (f(g(x)) when x =2
Savatey [412]
\bf \begin{cases}
f(x)=x^2+3\\\\
g(x)=x+\cfrac{4}{3}
\end{cases}
\\\\\\
\boxed{x=2}\qquad g(2)=(2)+\cfrac{4}{3}\implies \boxed{g(2)=\cfrac{10}{3}}
\\\\\\
f(~~g(x)~~)=[g(x)]^2+3\implies f(~~g(2)~~)=[g(2)]^2+3
\\\\\\
f(~~g(2)~~)=\left[ \boxed{\frac{10}{3}} \right]^2+3\implies f(~~g(2)~~)=\cfrac{10^2}{3^2}+3
\\\\\\
f(~~g(2)~~)=\cfrac{100}{9}+3\implies f(~~g(2)~~)=\cfrac{100+27}{9}
\\\\\\
f(~~g(2)~~)=\cfrac{127}{9}
7 0
3 years ago
Hi can you help me pleaseeee?)
olganol [36]

<em>So to solve for a variable, you have to isolate that variable onto one side.</em>

<h3>14.</h3>

Firstly, multiply both sides by j: h-4=kj

Next, divide both sides by k and <u>your answer will be: \frac{h-4}{k}=j</u>

<h3>15.</h3>

Firstly, add g on both sides: \frac{x}{5}=a+g

Next, multiply both sides by 5 and <u>your answer will be: x=5(a+g)</u>

<h3>16.</h3>

Firstly, subtract 5p on both sides: 9c=-4p

Next, divide both sides by 9 and <u>your answer will be c=-\frac{4}{9}p</u>

3 0
3 years ago
What is the area of the composite figure in problem 3?
suter [353]

Answer:

trapazoid

Step-by-step explanation:

5 0
3 years ago
Mia's checking account balance is overdrawn by $52.65.
Svetach [21]

Answer:

A

Step-by-step explanation:

So to start, Mia has an account that is overdrawn by $52.65 so her account is negative 52.65. She then adds 135.50 and used 24.30 so you would add 135.50 and 24.30 respectively. This would be (-52.65) + (132.50) - (24.30). This then would get you $58.55

8 0
3 years ago
Two lengths of a triangle are shown.
Solnce55 [7]

Answer:

11 ft

Step-by-step explanation:

Given the two lengths of a triangle as

AB = 6ft

AC = 6ft

This is an isosceles triangle because only 2 sides are equal.

In an isosceles triangle, the sum of 2 (sides) lengths must be greater than the other length.

Therefore, let's assume the following:

i) AC + AB > BC

6 + 6 > BC

12 > BC (BC is less than 12)

BC < 12

ii) BC + AC > AB

BC + 6 > 6

BC > 6 - 6

BC > 0

Therefore the range of values for BC =

0 < BC < 12

Since BC must be bigger than one of the lengths and it must also be less than the sum of the 2 sides. The length of BC could be 11 because it is less than (6+6) 12 and greater than 6.

5 0
3 years ago
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