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Bad White [126]
2 years ago
14

A carpenter is building shelving units for a garage a small shelf requires a total of eight boards to build while large one uses

13 boards he has up to 47 boards to use for this project Select the any quality in standard form that describes the situation use the given numbers in the following variables

Mathematics
1 answer:
Zigmanuir [339]2 years ago
6 0

Answer:

8x + 13y has to be less than or equal to 47.

Step-by-step explanation:

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Find f. f ″(x) = x^−2, x > 0, f(1) = 0, f(6) = 0
marin [14]

If you do in fact mean f(1)=f(6)=0 (as opposed to one of these being the derivative of f at some point), then integrating twice gives

f''(x) = -\dfrac1{x^2}

f'(x) = \displaystyle -\int \frac{dx}{x^2} = \frac1x + C_1

f(x) = \displaystyle \int \left(\frac1x + C_1\right) \, dx = \ln|x| + C_1x + C_2

From the initial conditions, we find

f(1) = \ln|1| + C_1 + C_2 = 0 \implies C_1 + C_2 = 0

f(6) = \ln|6| + 6C_1 + C_2 = 0 \implies 6C_1 + C_2 = -\ln(6)

Eliminating C_2, we get

(C_1 + C_2) - (6C_1 + C_2) = 0 - (-\ln(6))

-5C_1 = \ln(6)

C_1 = -\dfrac{\ln(6)}5 = -\ln\left(\sqrt[5]{6}\right) \implies C_2 = \ln\left(\sqrt[5]{6}\right)

Then

\boxed{f(x) = \ln|x| - \ln\left(\sqrt[5]{6}\right)\,x + \ln\left(\sqrt[5]{6}\right)}

3 0
2 years ago
n his pocket, Hamid has $2.95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes
N76 [4]
X=dimes    y=quarters

0.1x + 0.25y = 2.95
x+y = 16

from the second equation, x = 16 - y and thus 0.1 (16-y) +0.25y = 2.95 ==> y=9. Finally, x + 9 = 16 ==> x=7

7 dimes, 9 quarters
4 0
3 years ago
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Please help <br><br><br><br> …………………………
faltersainse [42]

Answer:

u=22

Step-by-step explanation:

Triangel JKI and Triangel HKI are congruent by rule SAS (Side Angel Side)

JI and IH are congruent by rule CPCTC (Coungruent Parts of Cogruent Triangels are Cogruent).

2u=u+22

u=22

6 0
3 years ago
Anthony wants to make two different rectangular flowerbeds ,each with an area of 24 square feet .he will build a wooden frame ar
nignag [31]
One of them is 3,8,3,8 and the other is 4,6,4,6
3 0
4 years ago
Read 2 more answers
If KN=29, what is CN?
wel
To find the answer you need to identify what x is.
To find the x first you need to make the equation 6x+11=29.
You then subtract 11 from each side which cancels out the 11 and makes the 29 18. 
You then divide the entire equation by 6 to get the answer x=3. 
You then input x for the CN line equation.
4(3)+1
Thus, your answer should be 13 (D)
5 0
3 years ago
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