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Bezzdna [24]
1 year ago
14

Let's find2. 1+5 3First write the addition with a common denominator.Then add.12— +51-4-13Х5

Mathematics
1 answer:
emmasim [6.3K]1 year ago
4 0
Answer:\frac{2}{5}+\frac{1}{3}=\frac{6}{15}+\frac{5}{15}=\frac{11}{15}Explanation:

The given addition exercise is:

\frac{2}{5}+\frac{1}{3}

The LCM of the denominator (5 and 3) = 15

Multiply 2/5 by 3/3

\frac{2}{5}=\frac{2\times3}{5\times3}=\frac{6}{15}

Multiply 1/3 by 5/5

\frac{1}{3}=\frac{1\times5}{3\times5}=\frac{5}{15}

The addition becomes

\frac{6}{15}+\frac{5}{15}=\frac{11}{15}

Therefore, we can fill in the vacant boxes as shown below:

\frac{2}{5}+\frac{1}{3}=\frac{6}{15}+\frac{5}{15}=\frac{11}{15}

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What is the coefficient of b in the expression b² - 5b +18
zzz [600]

Answer: -5

Step-by-step explanation:

A coefficient is a number that a variable is multiplied by.

<em>Hope it helps <3</em>

6 0
3 years ago
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In 1906 Kennelly developed a simple formula for predicting an upper limit on the fastest time that humans could ever run distanc
umka21 [38]

Answer / Step-by-step explanation:

(1) Given t = 0.0588s ¹.¹²⁵

where s is the distance and t is the time to run that distance.

The second portion asks us to find the derivative of the equation when our s value is equal to 20 and interpret.

(2) First, we try to convert the unit from miles to meters

Therefore, 1 mile = 1609 meters

Then,

         t = 0.0588 ( 1609 ) ¹.¹²⁵

             =238 . 09

This gives us the instantaneous rate of change of seconds between every 20 meters ran.

The last portion asks us to compare this estimate to current world records. And have they been surpassed?

As of today, the fastest official record for a standard mile is held by a man from Morocco named Hichan El Guerrouj. The time was recorded at 3.43 minutes in Rome, Italy on July 7th, 1999.

Now, keep in mind that this is almost a full minute slower than the estimated time. However, how do these projections hold up against Usain Bolt, the man that is considered the fastest man in the world ?

Although, Usain Bolt does run long distances, he holds records in nearly every sprinting event that he has ever competed in.

Hence, Kennelly's estimate for the fastest mile is 238.09

(3) Now, noting that since dt / ds = 0.0588 ( 1.25 ) s  ⁰.¹²⁵

Then,

           dt / ds I 100 = 0.0588 (1.25) (20)  ⁰.¹²⁵

                              = 0.1176

6 0
3 years ago
If f(x) = x+1 and g(x) =x^2, then gf(2) =
yKpoI14uk [10]

Answer:

g(f(2)) = 9

Step-by-step explanation:

Evaluate f(2) and substitute the value obtained into g(x)

f(2) = 2 + 1 = 3 , then

g(3) = 3² = 9

6 0
3 years ago
Read 2 more answers
Simplify the expression 2x+2x(x−3x)+7
azamat

2x + 2x^2 -6x^2 + 7

answer is

-4x^2 + 2x + 7

3 0
3 years ago
PLEASE HELP ME ASAP
bearhunter [10]

The series is a convergence series and the sum of the series is -8/3

<h3>The type of the series</h3>

The series is given as:

\sum\limits^{\infty}_{n = 1} -4(-\frac 12)^{n-1}

The above series has the following properties:

  • First term; a = -4
  • Common ratio, r = -1/2

Start by calculating the absolute value of the common ratio

Absolute value = |-1/2|

This gives

Absolute value = 1/2

The above value is less than 1.

It means that the series converges.

<h3>The sum of the series</h3>

This is calculated using:

S_{\infty} = \frac{a}{1 -r}

So, we have:

S_{\infty} = \frac{-4}{1 + \frac 12}

Evaluate the sum

S_{\infty} = \frac{-4}{\frac 32}

Evaluate the quotient

S_{\infty} = \frac{-8}{3}

Hence, the sum of the series is -8/3

Read more about geometric series at:

brainly.com/question/24643676

#SPJ1

5 0
2 years ago
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