A line with slope 3 passes through the point (0, 10). What is the y-coordinate of the point on the line with x-coordinate 2?

How can I find the prime factorization of a number with an easy explanation?

mezya [45]

Answer:

Step-by-step explanation:

Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.

4 0

2 years ago

16. A company collected funds for charity from employees. The amount donated by some employees on the first day is as

ivolga24 [154]

Answer: Median is the best measure of central tendency best represents the data.

Value of median= 15

Step-by-step explanation:

The given data : $10, $20, $15, $100, $10, $15, $10.

We observe that the above data has an outlier in it .

$100 is an extremely large value as compare to the other values in the data.

It means the data contains outlier.

Commonly , mean is the best measure of the central tendency.

We know that , when there is an outlier in the data , we prefer Median over Mean to measure the central tenancy of the data.

So for the given data set ,

Median is the best measure of central tendency best represents the data.

To find median , first arrange data in an order , we get

10 , 10 , 10 , 15 , 15 , 20 , 100

Number of data values = 7 (odd)

So Median= Middle-most number= 15

Hence, the median of data = 15

5 0

3 years ago

manuel deposits $10000 for 12 yr in an account paying 4% compounded annually.He then puts this total amount on deposit in anothe

Naddik [55]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$10000\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &12
\end{cases}
\\\\\\
A=10000\left(1+\frac{0.04}{1}\right)^{1\cdot 12}\implies A=1000(1.04)^{12}\\\\\\ A\approx 16010.32$

he then turns around and grabs that money and sticks it for another 9 years,

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
~~
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$16010.32\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semi-annually, thus twice}
\end{array}\to &2\\
t=years\to &9
\end{cases}
\\\\\\
A=16010.32\left(1+\frac{0.05}{2}\right)^{2\cdot 9}\implies A=16010.32(1.025)^{18}
\\\\\\
A\approx 24970.64$

add both amounts, and that's how much is for the whole 21 years.

6 0

3 years ago

What is m in equation 2m=12

Likurg_2 [28]

M is equal to 6 because 6 times 2 would equal 12

7 0

3 years ago

Please help me ASAP 50 points

Arte-miy333 [17]

Answer:

x=2

Vertex (2,-8)

Intercepts: 2 ±2/3 sqrt(6)

Because the parabola opens upwards, it has a minimum at the vertex

Domain: all real numbers

Range: y>= -8

Step-by-step explanation:

y= 3x^2 -12x+4

To find the axis of symmetry, we use the formula

h= -b/2a where ax^2 +bx+c

h = -(-12)/2*3 = 12/6=2

The axis of symmetry is x=2

The x coordinate of the vertex is at the axis of symmetry. To find the y coordinate, substitute x into the equation

y= 3(2)^2 -12(2) +4

y = 3*4-24+4

= 12-24+4

= -8

The vertex is at (2,-8)

We can use the quadratic formula to find the x intercepts

x = -b ±sqrt(b^2-4ac)

-----------------------

2a

= 12 ± sqrt(12^2 - 4*3*4)

---------------------------------

2*3

= 12± sqrt(144-48)

----------------------

6

= 12±sqrt(96)

---------------

6

=2 ±1/6 * 4sqrt(6)

= 2 ±2/3 sqrt(6)

Because the parabola opens upwards, it has a minimum at the vertex.

The domain is the values that x can take.

X can be all real numbers

The range is the values that y can take. Since there is a minimum, y must be greater than that minimum

Range: y>= -8

7 0

3 years ago

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