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3 years ago

I added question and example. answer it CORRECTLY and you will get brainliest!

Mathematics

1 answer:

snow_lady [41]3 years ago

5 0

Answer:

1008

Step-by-step explanation:

like the 2nd picture we split it in 3 rectangular prism

$V_{1}$ =6*7*8=336

$V_{2}$ =6*7*8=336

$V_{3}$ =6*7*8=336

V=336+336+336=1008

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Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...

katovenus [111]

Answer:

$a_{12}=-244140625$

Step-by-step explanation:

Considering the geometric sequence

$5,-25,\:125,\:...$

$a_1=5$

As the common ratio ' $r$ ' between consecutive terms is constant.

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

$r=\frac{-25}{5}=-5$

$r=\frac{125}{-25}=-5$

The general term of a geometric sequence is given by the formula:

$a_n=a_1\cdot \:r^{n-1}$

where $a_1$ is the initial term and $r$ the common ratio.

Putting $n = 12$ , $r = -5$ and $a_1=5$ in the general term of a geometric sequence to determine the 12th term of the sequence.

$a_n=a_1\cdot \:r^{n-1}$

$a_n=5\left(-5\right)^{n-1}$

$a_{12}=5\left(-5\right)^{12-1}$

$=5\left(-5^{11}\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a$

$=-5\cdot \:5^{11}$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}$

$=-5^{1+11}$ ∵ $5\cdot \:5^{11}=\:5^{1+11}$

$=-244140625$

Therefore,

$a_{12}=-244140625$

6 0

3 years ago

Zack has a car. He wants to sell it for 60% off the current price.the market price is $500. How much money would he receive in e

Mariana [72]

Since Zack wants to sell his car for 60% off the current price of $500, he has to multiply 0.60 (60% in decimal form) by $500, which equals $300. Now, the next step is very important. He has to subtract $500 from $300 since $300 is the amount OFF. Once he does that, he will get $200.

- Hope I helped :)

- Learning is beautiful thing and a lifelong journey.

8 0

3 years ago

5.401×10^-1 in standard form

likoan [24]

$5.401*10^-^1$

$= 0.5401
$

3 0

3 years ago

Read 2 more answers

20% of 57 is what number ? The proportion is ?

Elanso [62]

Answer:

11.4

20/100 = x/57

Step-by-step explanation:

It is perhaps simplest just to translate the given English sentence into a mathematical sentence.

... 20% ... ... of ... 57 ... is ... what number

... 20/100 ... × ... 57 .... = ... what number . . . . . . . . translation to math sentence

... 11.4 = what number . . . . . . . . carry out the multiplication

_____

If you're asked to write this as a proportion, you can write it like this:

$\dfrac{20}{100}=\dfrac{\text{what number}}{57}$

You can solve this proportion by multiplying by 57 (the denominator under "what number"). Doing so gives you the same arithmetic sentence as shown above.

6 0

3 years ago

Find the area of the rhombus. 7.5 yd 13 yd 13 yd 7.5 yd [ ? ] yd2

Doss [256]

Answer:

195

Step-by-step explanation:

4 0

3 years ago