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3 years ago

What solid figure is shown below? triangular pyramid square pyramid rectangular prism cylinder

Mathematics

2 answers:

Gennadij [26K]3 years ago

5 0

RECTANGULAR PRISMS

also known as cuboids ....are all around us. A few of the examples are books, boxes, buildings, bricks, boards, doors, containers, cabinets, mobiles, and laptops.

:-)

denpristay [2]3 years ago

5 0

the answer is rectangular prism

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For the function f(x)=3xsquared- 2x+5 find f(1) f(-2) and f(a)

Oksanka [162]

$f(x)=3x^2-2x+5\\\\
f(1):\ \ Substitude\ 1 \ as\ x\ into\ function:\\
f(1)=3*1^2-2*1+5=3-2+5=\textbf{6}\\\\
f(-2)\ \ Substitude\ x=-2\\
f(-2)=3*(-2)^2-2*(-2)+5=3*4+4+5=12+4+5=\textbf{21}\\\\
f(a)\ \ substitude\ x=a\\
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4 years ago

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attashe74 [19]

Answer:

Step-by-step explanation:

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3 years ago

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avanturin [10]

Answer:

Step-by-step explanation:

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3 years ago

Identify whether the series sigma notation infinity i=1 15(4)^i-1 is a convergent or divergent geometric series and find the sum

const2013 [10]

Answer: The correct option is

(d) This is a divergent geometric series. The sum cannot be found.

Step-by-step explanation: The given infinite geometric series is

$S=\sum_{i=1}^{\infty}15(4)^{i-1}.$

We are to identify whether the given geometric series is convergent or divergent. If convergent, we are to find the sum of the series.

We have the D' Alembert's ratio test, states as follows:

Let, $\sum_{i=1}^{\infty}a_i$ is an infinite series, with complex coefficients $a_i$ and we consider the following limit:

$L=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}.$

Then, the series will be convergent if L < 1 and divergent if L > 1.

For the given series, we have

$a_i=15(4)^{i-1},\\\\a_{i+1}=15(4)^i.$

So, the limit is given by

$L\\\\\\=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i-1}}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i}4^{-1}}\\\\\\=\dfrac{1}{4^{-1}}\\\\=4>1.$

Therefore, L >1, and so the given series is divergent and hence we cannot find the sum.

Thuds, (d) is the correct option.

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4 years ago

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kupik [55]

The <u>correct scale</u> is 1 in = 4 mi.

<u>Explanation</u>:

The scale tells us what a given measurement on the map equals in real-life distance.

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This can also be written as 2/8. This fraction can be simplified, since both 2 and 8 are divisible by 2; it will simplify to 1/4. This is the same as
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