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givi [52]
3 years ago
6

The volume of a rectangular prism is 5058 cubic inches.

Mathematics
1 answer:
astra-53 [7]3 years ago
5 0

Answer:

412in

Step-by-step explanation:

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Write the equation of a line passing through (6,-2) and perpendicular to -2x + 3y= -6
____ [38]
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.


-2x+3y=-6                 Add 2x in both sides
3y=2x-6                    Divide by 3 in both sides to isolate y
y=2/3x-6/3


The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.

y=mx+b                 Substitute the given point and the previous slope found
-2=(-3/2)(6)+b       Combine like terms
-2=-9+b                 Add 9 in both sides to isolate b
7=b

The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.


4 0
4 years ago
on two investments totalling 9000 Lydia lost 4% and earned 5%. if her net receipts were 351$ how much was each investment
mario62 [17]
She invested.. .say "a" amount on the 4% and "b" amount on the 5% one

now, she lost the 4% one or "a", so... that'd be a negative amount

now, we know both investments added together add up to 9000

and we also know the "net" receipts for the yield was 351, that simply means that whatever "b" and "a" yielded, ended up as 351

so.. what's 4% of a? well (4/100) * a or 0.04a
what's 5% of b? well (5/100) * b or 0.05b

since "a" was a loss(negative), then we know the net yield is =>  b - a = 351

thus     \bf \begin{cases}
b+a=9000\implies \boxed{a}=9000-b\\\\
0.05b - 0.04a = 351\\
----------\\
0.05b - 0.04\left(\boxed{ 9000-b }\right) = 351
\end{cases}

solve for "b", to see how much was invested at 5%

what about a?  well, a = 9000 - b
5 0
4 years ago
The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a
Nataly_w [17]

Answer:

D. 2/5

Step-by-step explanation:

4 0
3 years ago
Helpppp meeee lollllll idkkk what to dooooo
kenny6666 [7]

Step-by-step explanation:

=0.2(y+2)

=0.2(y)+0.2(2)

=0.2y+0.4

hope it help u..

6 0
3 years ago
It takes 4 hours to go fly to Atlanta, a city that is about 200 miles. How many miles have I flown in in 2.5 miles
Irina-Kira [14]

Answer:

x = 125

Step-by-step explanation:

4 hrs : 200 mi

2.5 hrs : x mi

4/2.5 = 1.6 hrs

200/1.6 = 125 mi

x = 125 mi

5 0
4 years ago
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