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Sophie [7]
3 years ago
5

the volume v of a tank varies directly with its height h a tank 12 ft High holds 300 cubic feet write an equation relating v &am

p; H
Mathematics
1 answer:
Liula [17]3 years ago
3 0

v varies directly with height means

v/h=k were k is a constant

or also h/v=k where k is a constant (this is a different k than previous)

so if h=12 and v=300 then

h/v=12/300=1/25=k

so the relationhip could be h/v=1/25


if you di v/h, then

v/h=300/12=25/1=25=k

so the relationship could be v/h=25

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Write an equation of the line with the same slope as the line given by 5x + 2y = 8 and the same y-intercept as the line given by
kaheart [24]
In y = mx + b form, the slope is in the m position and the y intercept is in the b position.

5x + 2y = 8
2y = -5x + 8
y = -5/2x + 8.....slope (m)  is -5/2

3x - 7y = 10
-7y = -3x + 10
y = 3/7x - 10/7.....y int (b) = -10/7

so ur equation with slope(m) of - 5/2 and y int (b) of -10/7 is :
y = -5/2x - 10/7 <== slope intercept form



8 0
2 years ago
Can Someone Please Help Me Out with My Math Homework!
yulyashka [42]
49a. r=9 & r=3
49b. r=59048 & r=19683
49c. The first equation subtracts 1 from 3^n while the second equation subtracts 1 from the value of n.
49d. ***I forgot what an exponential function is, sorry...***
CANT FIGURE OUT 50. Hope I helped...
8 0
3 years ago
(A) all values at which F has a local maximum: <br><br> (B) all local maximum values of F:
Bingel [31]

Answer:

  (a) {-3, 2}

  (b) {3, 4}

Step-by-step explanation:

The high points are (-3, 3) and (2, 4).

The x-values at which the function has a local maximum are {-3, 2}.

The local maximum values are {3, 4}.

_____

Your answer box probably doesn't want the curly brackets and maybe not the spaces, either. Those brackets are used to identify a <em>set</em> of values.

6 0
3 years ago
Which expression is equivalent to 6 Superscript 4 times 6 cubed? (6 times 6 times 6 times 6) (6 times 6 times 6) (6 6 6 6) times
malfutka [58]

The expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,

6\times6\times6\times6)\times6

<h3>What is the equivalent expression?</h3>

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given statement for the expression is 6 Superscript 4 times 6 cubed. This expression cab be written as,

6^4\times6

Suppose the equivalent expression of this equation is n. Thus,

n=6^4\times6

The 4 power of number 6 means that the number 6 should be multiplied 4 times.

n=(6\times6\times6\times6)\times6

Hence, the expression which is equivalent to 6 Superscript 4 times 6 cubed and posses same value as this expression is,

6\times6\times6\times6)\times6

Learn more about the equivalent expression here;

brainly.com/question/2972832

5 0
2 years ago
You plan to set up an endowment at your alma mater that will fund $209,000 of scholarships each year indefinitely. If the princi
Leto [7]

Answer:

$199,047.62

Step-by-step explanation:

PV = X(1+i)^nm

X=$209000

i=5% = 0.05

n=1

m=1

Pv=$209000(1+0.05)^-1x1

Pv=$209000(1.05)^-1

Pv=$209000(1/1.05)

Pv=$209000/1.05

Pv=$199,047.62

$199,047.62 is needed to be donated for investment at 5.0% compounded annually rate for a year so as to get $209,000 at end of the year for the purpose of funding the scholarship.

6 0
2 years ago
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