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3 years ago

Select the following series as finite or infinite.

Mathematics

2 answers:

amm18123 years ago

7 0

Answer:

Infinite because it keeps going

arsen [322]3 years ago

3 0

ANSWER

EXPLANATION

The given series is

5 + 10 + 15 + 20 + . . . + 5n + . . .

The first term of this series 5

The constant difference is:

d=10-5=5

The +... at the end of the series means it does continue to infinity.

The series is infinite

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X^2 - y^2 = 100

luda_lava [24]

Answer:

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

$x+y=5$

Subtract y from both sides:

$x=5-y$

Now, substitute "5-y" for "x" in the first equation:

$(5-y)^2-y^2=100$

Note that:

$(a-b)^2=a^2-2ab+b^2$

$25-10y+y^2-y^2=100$

Cancel out like terms:

$25-10y=100$

Subtract 25 from both sides:

$-10y=75$

Divide both sides by -10

$y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}$

Now, substitute this value back into either of the equations to solve for x.

$x+y=5\\x-\frac{15}{2}=5\\$

Add 15/2 to both sides:

$x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}$

Now, find the difference:

$x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20$

8 0

2 years ago

The log of x cubed times y squared simplified

tresset_1 [31]

Answer:

$log(x^{3}y^{2}) = 3 log x+2 log y$

Step-by-step explanation:

Step 1:-

using logarithmic formula $log(ab)=log a+log b$

so given $log(x^{3} y^{2} ) = log (x^{3} )+log(y^{2} )$

now simplify

= $3 log x+2 log y$

<u>Answer:</u>-

$log(x^{3}y^{2})= [tex]3 log x+2 log y$

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3 years ago

Cifrele romane de la 1 pana 100 romani pls

Kamila [148]

Sorry I don’t understand 1-100=99 sorry

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3 years ago

− 96 , 48 , − 24 , 12 , − 6 . what is the ratio of the geometric sequece

snow_tiger [21]

Answer:

-1/2

Step-by-step explanation:

it has to be a negative number since

every other number is negative

its a fraction since the numbers are decreasing

96 divided by 48 is 2

so the number being multiplied or ration must be -1/2

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2 years ago

Need help plsssssss :(

ahrayia [7]

Supplementary angle must add up to 180 so the supplement will be 108 degrees. 180-72=108.

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3 years ago