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maw [93]
4 years ago
14

What are the x and y intercepts for this equation? 2x - 3y = 6

Mathematics
1 answer:
masya89 [10]4 years ago
3 0

Answer:

So standard form is 2x-3y=6

Slope intercept form is y=2/3x-2

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What is 1.4. 106 written in standard notation?
Shalnov [3]
The answer is D 1,400,000

To convert from scientific notation to standard notation you can just move the decimal point to the right how ever many times 10 is the the power of.
6 0
3 years ago
A survey of 180 college men was taken to determine participation in various campus activities. 43 were in fraternities, 52 parti
____ [38]
It usually works best to draw the Venn diagram from the inside out, starting with the number in all three categories.

1) 30 participated on campus sports only
2) 8 participated in frats and sports but not tutorials
3) 30 +8 +23 participated in frats or sports but not tutorials
4) 30 +14 +23 = 67 participated in exactly one activity
5) 9 +7 +8 = 24 participated in exactly 2 activities
6) 180 -(67 +24 +5) = 84 participated in no activities

5 0
3 years ago
Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra
bearhunter [10]

Answer:

\frac{dh}{dt}=-\frac{1}{2\pi}cm/min

Step-by-step explanation:

From similar triangles, see diagram in attachment

\frac{r}{4}=\frac{h}{16}


We solve for r to obtain,


r=\frac{h}{4}


The formula for calculating the volume of a cone is

V=\frac{1}{3}\pi r^2h


We substitute the value of r=\frac{h}{4} to obtain,


V=\frac{1}{3}\pi (\frac{h}{4})^2h


This implies that,

V=\frac{1}{48}\pi h^3


We now differentiate both sides with respect to t to get,

\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}


We were given that water is drained out of the tank at a rate of 2cm^3/min


This implies that \frac{dV}{dt}=-2cm^3/min.


Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means h=8cm.


We substitute this values to obtain,


-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}


\Rightarrow -2=4\pi \frac{dh}{dt}


\Rightarrow -1=2\pi \frac{dh}{dt}


\frac{dh}{dt}=-\frac{1}{2\pi}






3 0
4 years ago
Read 2 more answers
The inequality - 15<-6 is given. Write the inequality you get when you perform the
grandymaker [24]

Answer:

-5

Step-by-step explanation:

-15<-6=-15

-15÷3

=-5

4 0
3 years ago
Hannah invested $4000 in a savings account that that earned 2% interest compounded quarterly. she determined that if she does no
Svetach [21]

Answer:

Her account balance after 3 years is $4,246.71

Step-by-step explanation:

In this question, we are tasked with calculating what Hannah's account balance will be after 3 years and the error she made in her calculations

Mathematically, to calculate the account balance after 3 years, we use the formula for the compound interest as follows.

Mathematically, the amount A earned on a compound interest is calculated as

A = P(1+r/n)^{nt}

where A is the account balance after the number of years which is what we want to know

P is the initial amount invested which is $4000

r is the interest rate which is 2%(2/100 = 0.02) according to the question

n is the number of times interest is compounded per year which is 4(quarterly means every 3 months)

t is the number of years which is 3

We plug the values into the question;

A = 4000(1 + 0.02/4)^(3)(4)

A = 4000(1+0.005)^12

A = 4000(1.005)^12

A = $4,246.71

P.S ; I do not see Hannah's calculation and as such I cannot spot where she made the error in her calculations

5 0
4 years ago
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