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3 years ago

Please answer and explain why.

Mathematics

1 answer:

castortr0y [4]3 years ago

7 0

0,3,5,7,8 because it would make it higher pls heart and good luck !

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License plates in a particular state are to consist of 2 digits followed by 3 uppercase letters.

PIT_PIT [208]

Answer:

kalian bahasa apa aku tidak mengerti

7 0

3 years ago

Evaluate the sum of the following finite geometric series.

rjkz [21]

Answer:

$\large\boxed{\dfrac{156}{125}\approx1.2}$

Step-by-step explanation:

<h3>Method 1:</h3>

$\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}\\\\for\ n=1\\\\\left(\dfrac{1}{5}\right)^{1-1}=\left(\dfrac{1}{5}\right)^0=1\\\\for\ n=2\\\\\left(\dfrac{1}{5}\right)^{2-1}=\left(\dfrac{1}{5}\right)^1=\dfrac{1}{5}\\\\for\ n=3\\\\\left(\dfrac{1}{5}\right)^{3-1}=\left(\dfrac{1}{5}\right)^2=\dfrac{1}{25}\\\\for\ n=4\\\\\left(\dfrac{1}{5}\right)^{4-1}=\left(\dfrac{1}{5}\right)^3=\dfrac{1}{125}$

$\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}=1+\dfrac{1}{5}+\dfrac{1}{25}+\dfrac{1}{125}=\dfrac{125}{125}+\dfrac{25}{125}+\dfrac{5}{125}+\dfrac{1}{125}=\dfrac{156}{125}$

<h3>Method 2:</h3>

$\sum\limits_{n=1}^4\left(\dfrac{1}{5}\right)^{n-1}\to a_n=\left(\dfrac{1}{5}\right)^{n-1}\\\\\text{The formula of a sum of terms of a geometric series:}\\\\S_n=a_1\cdot\dfrac{1-r^n}{1-r}\\\\r-\text{common ratio}\to r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=\left(\dfrac{1}{5}\right)^{n+1-1}=\left(\dfrac{1}{5}\right)^n\\\\r=\dfrac{\left(\frac{1}{5}\right)^n}{\left(\frac{1}{5}\right)^{n-1}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\r=\left(\dfrac{1}{5}\right)^{n-(n-1)}=\left(\dfrac{1}{5}\right)^{n-n+1}=\left(\dfrac{1}{5}\right)^1=\dfrac{1}{5}$

$a_1=\left(\dfrac{1}{5}\right)^{1-1}=\left(\dfrac{1}{5}\right)^0=1$

$\text{Substitute}\ a_1=1,\ n=4,\ r=\dfrac{1}{5}:\\\\S_4=1\cdot\dfrac{1-\left(\frac{1}{5}\right)^4}{1-\frac{1}{5}}=\dfrac{1-\frac{1}{625}}{\frac{4}{5}}=\dfrac{624}{625}\cdot\dfrac{5}{4}=\dfrac{156}{125}$

5 0

4 years ago

One-tenth x fewer than the sum of one-fifth y and 2x

In-s [12.5K]

(1/10 (x)) fewer than the sum of 1/5 (y) and 2x so
1/10 (x)=1/10 times x=x/10
1/5 (y)=y/5
-x/10+y/5+2x
simplified it is
19x/10+y/5

8 0

4 years ago

Which expression is equivalent to one over five m − 20?

Arada [10]

Answer:

1/5m - 20 = 1/5(m - 100)

Step-by-step explanation:

3 0

3 years ago

Solve for x and y x+y=15 x+2y=23

BigorU [14]

Answer:

x=7, y= 8

Step-by-step explanation:

x+y=15

x+2y=23

Subtract the first equation from the second equation to eliminate x

x+2y=23

-x-y=-15

--------------------

y = 8

Now we can find x

x+y = 15

x+8 = 15

Subtract 8 from each side

x+8-8=15-8

x = 7

5 0

3 years ago