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Readme [11.4K]
3 years ago
10

The volume of a cone is 3(pi)x^3 cubic units. Which expression represents the radius of the cones base in units?

Mathematics
2 answers:
jarptica [38.1K]3 years ago
3 0
Volume of the cone:
V=r^2πx/3
3πx^3=r^2πx/3
Multiply by 3 and divide by π:
9x^3=r^2x
Divide by x:
9x^2=r^2
r=3x
Whitepunk [10]3 years ago
3 0
A) 3x
Is the answer!!!!!!
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Find the coordinates of point P on →AB that partitions the segment into the given ratio AP to PB .
marysya [2.9K]

The line segment AB is divided at point P, which has coordinates P(0,-7.5)

A line segment is a section of a line that connects two locations to create a straight line or we can say that is connects two distinct points together to form a single line. It is extendable to either side.

Given are,

A line segment AB with coordinates of A(0,0 ) and B(-15,0) respectively

Two minor line segments, AP and PB, are created from the line segment AB by the provided point P

We must determine the dividing point's coordinates, or P.

We'll apply the formula provided,

The coordinates of the point P are given by  = (\frac{x1+x2}{2},\frac{y1+y2}{2} )

Now, x1 = 0, x2 = 0, y1 = -15, y2 = 0

Putting values in the formula, we get

(\frac{0+0}{2}, \frac{0-15}{2})

(0,-7.5)

Hence, the point P which partitions the line segment AB have coordinates as P(0,-7.5)

To learn more about Line Segment, here

brainly.com/question/25727583

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6 0
2 years ago
6,384 meters in millimeters
jek_recluse [69]

Answer:

6384000 millimeters

Hope that helped :)

7 0
4 years ago
Read 2 more answers
17. Let A denote the event that the next request for assistance from a statistical software consultant relates to the SPSS packa
ankoles [38]

Answer:

a. The probability is not equal to 1

b. P (A') = 0.70

c. P ( A U B ) = 0.80

d. P ( A' ∩ B' ) = 0.20

Step-by-step explanation:

a. Because these A and B are disjoint

b. since the probability of  A is 0.30 then the probability of A compliment is

    P(A compliment ) = 1 - P (A)

    P(A compliment ) = 1-0.30

    P(A compliment ) = 0.70

c. Since event are disjoint then intersection of A and B is 0, so probability of A U B is;

       P ( A U B ) = P (A) + P(B) - P(A∩ B)

       P ( A U B ) = 0.30 + 0.50 - 0

       P ( A U B ) = 0.80

d. The inetrsection of compilments of A and B are:

by using De Morgan's Law we have,

                     P ( A' ∩ B' ) = P [(A U B )']

                     P ( A' ∩ B' ) = 1 - P ( A U B )

                     P ( A' ∩ B' ) = 1 - 0.80

                     P ( A' ∩ B' ) = 0.20

5 0
3 years ago
Jamie purchased a condo for $89,900 with a down payment of 20%; her credit terms were 5% for 15 years. what is jamie's monthly p
LUCKY_DIMON [66]
\bf \qquad \qquad \textit{Amortized Loan Value}
\\\\
pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]
\\\\

\bf \begin{cases}
P=
\begin{array}{llll}
\textit{original amount}\\
\end{array}\to &
\begin{array}{llll}
\quad89900\\
\ \ -20\%\\
-17980\\
-----\\
\quad 71920
\end{array}\\
pymt=\textit{periodic payments}\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{payments are monthly, thus}
\end{array}\to &12\\
t=years\to &15
\end{cases}
\\\\\\
pymt=71920\left[ \cfrac{\frac{0.05}{12}}{1-\left( 1+ \frac{0.05}{12}\right)^{-12\cdot  15}} \right]
8 0
3 years ago
Read 2 more answers
A community college bookstore has a fixed monthly operating cost of $16,495 for salaries, their building, and taxes. The books t
skad [1K]

Answer:

$143,370 per month

Step-by-step explanation:

16495 + 8.75(14500) = x

16495 + 126875 = x

143370 = x

Answer:  $143,370 per month

Hopefully this is right

7 0
4 years ago
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