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Simora [160]
3 years ago
6

If you draw a tree to show the number of ways to spin a spinner with five regions twice, how many possibilitdies would there be?

There would be possibilities.
Mathematics
1 answer:
Bogdan [553]3 years ago
6 0
<h3>Answer:  25</h3>

There are 5 spaces and 2 slots, so there are 5*5 = 25 different outcomes.

Think of a table that has 5 rows and 5 columns. There would be 25 cells in this table. Each cell is a different outcome.

The probability tree would have 5 branches on the upper level. Then for each upper branch, there are 5 lower sub-branches. Add up all the possible paths and you should find 25 total paths (each path representing a different outcome).

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There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model
Helga [31]

\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=250(1 + 0.16)^{t}\implies A=250(1.16)^t \\\\[-0.35em] ~\dotfill

A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}

7 0
2 years ago
(-3)(-5) answers are below:<br> -15<br> -8<br> +15
postnew [5]

\text {Hello! Let's Solve this Problem!}

\text {To Solve this problem we must know that Multiplying a Negative to a Negative} \text {will equal a positive.}

\text {\underline {Multiply}}

\text {-3*-5=}

\text {Your Answer Would Be:}

\fbox {15}

\text {Best of Luck!}

\text {Also just remember when it comes to problems like these, think if it as 2 positive} \text {numbers. So really it's just 3*5}

6 0
3 years ago
A cell phone tower in a field casts a shadow of 100 ft. At the same time, a 4 ft 6 in post near the tower casts a shadow of 3 ft
Volgvan
This is the concept of linear proportionality;
We are required to find the height of the tower in feet. The height of the tower will be found as follows;
[height of tower]/[length of the shadow of tower]=[height of post]/[length of shadow of the post]
height of the tower =h
height of the shadow=100ft
height of post=4 ft 6in=4 1/2 ft= 9/2 ft
length of the post's shadow=3 ft 4 in 3 1/3 ft=10/3 ft

N/B 1 ft= 12 inches

thus;
h/100=(9/2)/(10/3)
multiplying both sides by 100 we get:
h=(9/2)/(10/3)*100
h=9/2*3/10*100
h=135 ft

the answer is 135 ft

3 0
4 years ago
-
melamori03 [73]

Answer:

In graph theory and computer science, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether pairs of vertices are adjacent or not in the graph.

In the special case of a finite simple graph, the adjacency matrix is a (0,1)-matrix with zeros on its diagonal. If the graph is undirected, the adjacency matrix is symmetric. The relationship between a graph and the eigenvalues and eigenvectors of its adjacency matrix is studied in spectral graph theory.

The adjacency matrix should be distinguished from the incidence matrix for a graph, a different matrix representation whose elements indicate whether vertex–edge pairs are incident or not, and degree matrix which contains information about the degree of each vertex.

3 0
3 years ago
Standard form for 78 hundreds 58 tens 19 ones
Nastasia [14]

Answer:

8399

Step-by-step explanation:

78*100=7800

58*10=580

7800+580+19=8399

4 0
4 years ago
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