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2 years ago

Solve for exponential the value of X

Mathematics

1 answer:

atroni [7]2 years ago

4 0

${\qquad\qquad\huge\underline{{\sf Answer}}}$

The two triangles are right angled Triangles and they have one common angle. so the two triangles are similar to each other.

By using similarity, ratio of their corresponding sides must be equal as well~

$\qquad \sf \dashrightarrow \: \cfrac{1}{2 + 1} = \cfrac{3}{x}$

$\qquad \sf \dashrightarrow \: \cfrac{1}{3} = \cfrac{3}{x}$

$\qquad \sf \dashrightarrow \: x = 3 \times 3$

$\qquad \sf \dashrightarrow \: x = 9 \: \: units$

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Identify the vertex of the parabola. (1, −3) (−4, 0) (−1, −3) (−3, 1)

vfiekz [6]

Answer:

Vertex(-3,1)

Step-by-step explanation:

We have a graphical representation of our parabola.

Showing both the x axis and the y axis and showing the values of each point of the parabola on it.

As we can see we have some major points like point p = (-4,0)

And point q = (-1,-3)

What I want to point out is that every unit represent a two then half of it represents a one.

So the position of our vertex which is the maximum point on the graph

X axis = -3

Y axis =1

So the point our vertex is located

Vertex(-3,1)

3 0

3 years ago

Which of the following points are in the fourth quadrant of the xy-plane? Check all that apply.

Margaret [11]

Answer:

B and F

Step-by-step explanation:

The fourth quadrant contains a positive number for the x axis and a negative number for the y axis. (B=4,-5 and F=4,-7)

8 0

3 years ago

24. The original price of a DVD is $9. The sale price is 20% off

olasank [31]

20/100 = 0.20

0.20 * 9 = 1.8

9 - 1.8 = 7.2

The sale price of the DVD is $7.20.

7 0

3 years ago

Read 2 more answers

You decide to put $5000 in a savings account to save $6000 down payment on a new car. If the account has an interest rate of 7%

bezimeni [28]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill&\$6000\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years \end{cases}$

$\bf 6000=5000\left(1+\frac{0.07}{12}\right)^{12\cdot t}\implies \cfrac{6000}{5000}\approx (1.0058)^{12t}\implies \cfrac{6}{5}\approx(1.0058)^{12t} \\\\\\ \log\left( \cfrac{6}{5} \right)\approx \log[(1.0058)^{12t}]\implies \log\left( \cfrac{6}{5} \right)\approx 12t\log(1.0058) \\\\\\ \cfrac{\log\left( \frac{6}{5} \right)}{12\log(1.0058)}\approx t\implies 2.63\approx t\impliedby \textit{about 2 years, 7 months and 16 days}$

6 0

3 years ago

What is the arithmetic mean of the following numbers?<br> 8 10 8 5 4 7 5 10 8

Bas_tet [7]

I re-orders as 4,5,5,7,8,8,8,10,10.

Mean 7.2222222222222
Median 8
Mode 8
Range 6
Minimum 4
Maximum 10
Count n 9
Sum 65
Quartiles Quartiles:
Q1 --> 5
Q2 --> 8
Q3 --> 9
Interquartile
Range IQR 4
Outliers none

4 0

3 years ago