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3 years ago

NEED ASAP NO LINKS PLS WILL MARK BRAINLIEST

Mathematics

1 answer:

pickupchik [31]3 years ago

6 0

Answer:1.4348e-5 for dimensions and area is 160,000 sq ft. but thats only the first tree one...only one i can do without my brain giving out..good luck

Step-by-step explanation:

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Match each series with the equivalent series written in sigma notation

PIT_PIT [208]

Answer:

$3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n$

$4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n$

$2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n$

$3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n$

Step-by-step explanation:

Given

See attachment for complete question

Required

Match equivalent expressions

Solving (a):

$3 + 12 + 48 + 192 + 768$

The expression can be written as:

$3 \to 3*4^{0$ --- 0

$12 \to 3 * 4^{1$ ---- 1

$48 \to 3 * 4^{2$ --- 2

$192 \to 3 * 4^{3$ ---- 3

$768 \to 3 * 4^{4$ ---- 4

For the nth term, the expression is:

$Term = 3 * 4^{n$ ---- n

So, the summation is:

$3 + 12 + 48 + 192 + 768 = \sum\limits^4_{n=0} 3 * 4^n$

Solving (b):

$4 + 32 + 256 + 2048 + 16384$

The expression can be written as:

$4 \to 4 * 8^0$ --- 0

$32 \to 4 * 8^1$ ---- 1

$256 \to 4 * 8^2$ --- 2

$2048 \to 4 * 8^3$ ---- 3

$16384 \to 4 * 8^4$ ---- 4

For the nth term, the expression is:

$Term \to 4 * 8^n$ ---- n

So, the summation is:

$4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n$

Solving (c):

$2 + 6 + 18 + 54 + 162$

The expression can be written as:

$2 \to 2 * 3^0$ --- 0

$6 \to 2 * 3^1$ ---- 1

$18 \to 2 * 3^2$ --- 2

$54 \to 2 * 3^3$ ---- 3

$162 \to 2 * 3^4$ ---- 4

For the nth term, the expression is:

$Term \to 2 * 3^n$ ---- n

So, the summation is:

$2 + 6 + 18 + 54 + 162 = \sum\limits^4_{n=0} 2* 3^n$

Solving (d):

$3 + 15 + 75 + 375 + 1875$

The expression can be written as:

$3 \to 3 * 5^0$ --- 0

$15 \to 3 * 5^1$ ---- 1

$75 \to 3 * 5^2$ --- 2

$375 \to 3 * 5^3$ ---- 3

$1875 \to 3 * 5^4$ ---- 4

For the nth term, the expression is:

$Term \to 3 * 5^n$ ---- n

So, the summation is:

$3 + 15 + 75 + 375 + 1875 = \sum\limits^4_{n=0} 3* 5^n$

5 0

3 years ago

Factor tree of 74 and 48

larisa [96]

Answer: Here is your answer. Mark as brainlist please :)

3 0

3 years ago

Who can explain to me what is sample space probobility<br> 15 POINTS!!!

DIA [1.3K]

a sample space, , which is the set of all possible outcomes.

A set of events , where each event is a set containing zero or more outcomes.

The assignment of probabilities to the events; that is, a function from events to probabilities.

pls make me brainlyest have a good day

4 0

3 years ago

Read 2 more answers

Triangles J K L and M N R are shown.

Free_Kalibri [48]

The correct answer is option B which is we need ∠L ≅ ∠R to prove congruency.

<h3>What is congruency?</h3>

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

According to the SAS theorem which means Side Angle Side, The angle which is included between the two sides must be congruent.

Here we are given that

KL = NR

JL = MR

Now in the figure, we can clearly see that the angle included between JL & KL is L & the angle included between NR & MR is R.

So for the triangles to be congruent by SAS, angle L must be congruent to angle R.

∠L=∠R

Therefore the correct answer is option B which is we need ∠L ≅ ∠R to prove congruency.

Learn more about congruency at

brainly.com/question/14418374

#SPJ1

4 0

2 years ago

H(x) =2x+3 James brought a plant that was 3 inches tall. Each week the plant grew 2 inches. The function h(x) = 2x + 3 describes

telo118 [61]

Answer:

<h2>For 6 weeks, the height will be 15 inches</h2>

Step-by-step explanation:

Step one:

given data

the initial height of plant= 3inches

growth in inches per week =2inches per wee

Step two:

for x number of weeks, the height is expressed as

$h(x) = 2x + 3$

With the given growth function, we can estimate the height of the plant after any number of weeks, say x=6, that is 6 weeks, the height will be

substitute x=6 in the growth function

$h(x) = 2(6)+ 3\\\\h(x) = 12 + 3\\\\h(x) = 15 inches$

8 0

3 years ago