All categories

3 years ago

The sum of two twin primes is 60. What are the numbers

Mathematics

2 answers:

Fudgin [204]3 years ago

7 0

Its 29 and 31. thats the answer

quester [9]3 years ago

4 0

The two prime which will be near the same value, should be near half of 60 (which is 30). So start looking at the prime numbers near 30. One will have to be greater than 30 and the other less than 30, which will give you 29 & 31.

You might be interested in

An artist makes a scale drawing of a new lion enclosure at the zoo. The scale is 1 in : 25 ft. On the drawing, the length of the

8090 [49]

Answer:

The actual length of the lion enclosure is 181.25 feet.

Step-by-step explanation:

Given:

An artist makes a scale drawing of a new lion enclosure at the zoo.

The scale is 1 in : 25 ft.

On the drawing, the length of the enclosure is 7.25 inches.

Now, to find the actual length of the lion enclosure in feet.

Let the actual length of the lion enclosure in feet be $x.$

As given the scale is 1 in : 25 ft.

So, 1 in is equivalent to 25 ft.

Thus, 7.25 inches is equivalent to $x.$

Now, to get the actual length of the lion enclosure by using cross multiplication method:

$\frac{1}{25} =\frac{7.25}{x}$

By cross multiplying we get:

$x=181.25\ feet.$

Therefore, the actual length of the lion enclosure is 181.25 feet.

4 0

2 years ago

Solve for x. 5+(x-2)=-8

Arte-miy333 [17]

Answer:

x = -11

Step-by-step explanation:

First, get rid of parentheses:

5 + x - 2 = -8

Then, simplify:

3 + x = -8

Finally, subtract 3 on both sides:

x = -11

Hope this helps ^^

7 0

3 years ago

Read 2 more answers

Need help quiiickkkk

OLEGan [10]

Answer:

100 beats per minute

Step-by-step explanation:

If it takes 28.8 secs for the piano to play 48 beats, then it would take 60 secs (1 minute) to play x number of beats.

To find the value of x, which is the number of beats the piano makes per minute, let's set the proportion as shown below:

28.8 secs = 48 beats

60 secs = x beats

Cross multiply

28.8*x = 60*48

28.8x = 2,880

Divide both sides by 28.8

x = 2,880/28.8

x = 100

✅Thus, if the Piano plays 48 beats in 28.8 secs, therefore, the tempo of the piano in beats per minute would be 100 BPM

7 0

3 years ago

Find the Fourier series of f on the given interval. f(x) = 1, ?7 < x < 0 1 + x, 0 ? x < 7

Zolol [24]

$f(x)=\begin{cases}1&\text{for }-7$

The Fourier series expansion of $f(x)$ is given by

$\dfrac{a_0}2+\displaystyle\sum_{n\ge1}a_n\cos\frac{n\pi x}7+\sum_{n\ge1}b_n\sin\frac{n\pi x}7$

where we have

$a_0=\displaystyle\frac17\int_{-7}^7f(x)\,\mathrm dx$
$a_0=\displaystyle\frac17\left(\int_{-7}^0\mathrm dx+\int_0^7(1+x)\,\mathrm dx\right)$
$a_0=\dfrac{7+\frac{63}2}7=\dfrac{11}2$

The coefficients of the cosine series are

$a_n=\displaystyle\frac17\int_{-7}^7f(x)\cos\dfrac{n\pi x}7\,\mathrm dx$
$a_n=\displaystyle\frac17\left(\int_{-7}^0\cos\frac{n\pi x}7\,\mathrm dx+\int_0^7(1+x)\cos\frac{n\pi x}7\,\mathrm dx\right)$
$a_n=\dfrac{9\sin n\pi}{n\pi}+\dfrac{7\cos n\pi-7}{n^2\pi^2}$
$a_n=\dfrac{7(-1)^n-7}{n^2\pi^2}$

When $n$ is even, the numerator vanishes, so we consider odd $n$ , i.e. $n=2k-1$ for $k\in\mathbb N$ , leaving us with

$a_n=a_{2k-1}=\dfrac{7(-1)-7}{(2k-1)^2\pi^2}=-\dfrac{14}{(2k-1)^2\pi^2}$

Meanwhile, the coefficients of the sine series are given by

$b_n=\displaystyle\frac17\int_{-7}^7f(x)\sin\dfrac{n\pi x}7\,\mathrm dx$
$b_n=\displaystyle\frac17\left(\int_{-7}^0\sin\dfrac{n\pi x}7\,\mathrm dx+\int_0^7(1+x)\sin\dfrac{n\pi x}7\,\mathrm dx\right)$
$b_n=-\dfrac{7\cos n\pi}{n\pi}+\dfrac{7\sin n\pi}{n^2\pi^2}$
$b_n=\dfrac{7(-1)^{n+1}}{n\pi}$

So the Fourier series expansion for $f(x)$ is

$f(x)\sim\dfrac{11}4-\dfrac{14}{\pi^2}\displaystyle\sum_{n\ge1}\frac1{(2n-1)^2}\cos\frac{(2n-1)\pi x}7+\frac7\pi\sum_{n\ge1}\frac{(-1)^{n+1}}n\sin\frac{n\pi x}7$

3 0

2 years ago

A type of cell triples every hour. If there are 5 cells initially, which function can be used to

laila [671]

Answer:

T(t) = 5(3)(t)

Step-by-step explanation:

There are 5 cells initially.

And it triple every hour.

T0 =5

T(t) = T0(3t)

Each cell has it's multipling factor because it's Will be multipling by 3 every hour

T(t) = 5(3)(t)

4 0

3 years ago