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Blizzard [7]
3 years ago
5

A paint store has 35 gallons of paint in storage, 2/5 are for outdoor use. if each gallon cost $22, what is the total cost of th

e indoor pain in storage.
Mathematics
1 answer:
Aleks04 [339]3 years ago
6 0
The answer of this problem $462 but I'm not sure
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How would I solve this
vova2212 [387]

A=\frac{1}{2}\ln17 = 1.417

Step-by-step explanation:

The area <em>A</em> under the curve can be written as

\displaystyle A = \int_0^2\!\dfrac{4x\:dx}{1+4x^2}

To evaluate the integral, let

u = 1+4x^2 \Rightarrow du = 8xdx\:\text{or}\:\frac{1}{2}du = 4xdx

so the integral becomes

\displaystyle \int\!\dfrac{4x\:dx}{1+4x^2} = \dfrac{1}{2}\int\!\dfrac{du}{u} = \dfrac{1}{2}\ln |u|

or

\displaystyle \int\!\dfrac{4x\:dx}{1+4x^2} = \dfrac{1}{2}\ln |1+4x^2|

Putting in the limits of integration, our area becomes

\displaystyle A = \int_0^2\!\dfrac{4x\:dx}{1+4x^2} = \dfrac{1}{2}\left.\ln |1+4x^2|\right|_0^2

\;\;\;\;= \frac{1}{2}[\ln (1+16) - \ln (1)]

\;\;\;\;=\frac{1}{2}\ln17

Note: \ln 1 = 0

3 0
3 years ago
PLEASE HELP (:
Kaylis [27]

Answer:

{12,15}

Step-by-step explanation:

Given the function f(x) = x+5, if the range of the function is {7,9}, the domain of the function is derived by simply finding the value of the function at each end point.

At endpoint x = 7,

f(7) = 7+5

f(7) = 12

At endpoint x = 9

f(9) = 9+5

f(9) = 14.

The function domain is therefore at {12,14}

4 0
3 years ago
Solve this identifying holes, vertical asymptotes, and horizontal asymptotes for
USPshnik [31]

x^2+7x+12=x^2+4x+3x+12=x(x+4)+3(x+4)=(x+4)(x+3)\\\\-x^2-3x+4=-(x^2+3x-4)=-(x^2+4x-x-4)\\\\=-[x(x+4)-1(x+4)]=-(x+4)(x-1)\\\\f(x)=\dfrac{x^2+7x+12}{-x^2-3x+4}=\dfrac{(x+4)(x+3)}{-(x+4)(x-1)}\\\\\text{Vertical asymptotes:}\\\\(x+4)(x-1)=0\iff x+4=0\ \vee\ x-1=0\\\\\boxed{x=-4\ and\ x=1}\\\\\text{Horizontal asymptotes:}

\lim\limits_{x\to\pm\infty}\dfrac{x^2+7x+12}{-x^2-3x+4}=\lim\limits_{x\to\pm\infty}\dfrac{x^2\left(1+\dfrac{7}{x}+\dfrac{12}{x^2}\right)}{x^2\left(-1-\dfrac{3}{x}+\dfrac{4}{x^2}\right)}=\dfrac{1}{-1}=-1\\\\\boxed{y=-1}

6 0
3 years ago
What is the value of x in 15x-10= 20
Brut [27]
15x-10=20
+10 +10
15x=30
\15 /15
x=2

you add 10 to both -10 (they cancek eachother out) and 20 (equals 30)
Then you divide 30 by 15 (equals 2) and 15 by 15 (they cancel eachother out)
Then you get x=2
4 0
3 years ago
Read 2 more answers
X is less than or equal to -5
erma4kov [3.2K]

Answer:

x<=-5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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