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Minchanka [31]
3 years ago
14

For the direct variation such that when y = 2 then x = 3 , find the constant of variation ( k) and then find the value of y when

x = - 0.5.
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
8 0

Answer:

k is 2/3 and y is -1/3 when x is -0.5.

Step-by-step explanation:

The direct variation relationship is y = kx, where k is the const. of var.

Subbing 3 for x and 2 for y, 2 = 3k, or k = 2/3.

Now, if x = -0.5, y = (2/3)(-1/2) = -1/3

k is 2/3 and y is -1/3 when x is -0.5.

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How do I solve these problems? ln(x) = 5.6 + ln(7.5) and log(x) = 5.6 - log(7.5)
SOVA2 [1]

Use the rules of logarithms and the rules of exponents.

... ln(ab) = ln(a) + ln(b)

... e^ln(a) = a

... (a^b)·(a^c) = a^(b+c)

_____

1) Use the second rule and take the antilog.

... e^ln(x) = x = e^(5.6 + ln(7.5))

... x = (e^5.6)·(e^ln(7.5)) . . . . . . use the rule of exponents

... x = 7.5·e^5.6 . . . . . . . . . . . . use the second rule of logarithms

... x ≈ 2028.2 . . . . . . . . . . . . . use your calculator (could do this after the 1st step)

2) Similar to the previous problem, except base-10 logs are involved.

... x = 10^(5.6 -log(7.5)) . . . . . take the antilog. Could evaluate now.

... = (1/7.5)·10^5.6 . . . . . . . . . . of course, 10^(-log(7.5)) = 7.5^-1 = 1/7.5

... x ≈ 53,080.96

8 0
4 years ago
1) Which of the following is a measurement of length?
aalyn [17]

Answer:

<em>c</em><em>.</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>a</em><em>m</em><em>o</em><em>u</em><em>n</em><em>t</em><em> </em><em>o</em><em>f</em><em> </em><em>w</em><em>r</em><em>i</em><em>t</em><em>i</em><em>n</em><em>g</em><em> </em><em>s</em><em>p</em><em>a</em><em>c</em><em>e</em><em> </em><em>o</em><em>n</em><em> </em><em>a</em><em> </em><em>p</em><em>a</em><em>g</em><em>e</em><em>.</em>

Step-by-step explanation:

length - the measurement or extent of something from end to end the greater of two or the greatest of three dimensions of a body.

5 0
3 years ago
-x + y = 5
diamong [38]

Answer:

A. -(5y+2) + y = 5

Step-by-step explanation:

Solving the above Equation given to us in the Question,

-x + y = 5...... Equation 1

x - 5y = 2....... Equation 2

Step 1

We make x subject of the formula in Equation 2

---> x= 5y + 2

Step 2

This would be to substitute 5y + 2 for x in Equation 1

-x + y = 5...... Equation 1

-(5y+2) + y = 5

Hence, Option A is the correct option

8 0
3 years ago
Annual Pay: $61,000<br> Monthly:<br> Semi-Monthly:<br> Bi-Weekly:<br> Weekly:
ANTONII [103]

Answer:

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Bi-weekly: 2,346

Weekly:1,173

Daily: 235

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4 years ago
Solution to 34x-80=10x-8​
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Answer:

x=3

Step-by-step explanation:

4 0
4 years ago
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