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malfutka [58]
2 years ago
8

What is the solution for log z + 12 = 9?A: 000.1 B: -1,000 C: -0.001 D: 1,000

Mathematics
1 answer:
Ivahew [28]2 years ago
8 0

Answer:

z + 12 = 9

Reorder the terms:

12 + z = 9

Solving

12 + z = 9

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-12' to each side of the equation.

12 + -12 + z = 9 + -12

Combine like terms: 12 + -12 = 0

0 + z = 9 + -12

z = 9 + -12

Combine like terms: 9 + -12 = -3

z = -3

Simplifying

z = -3

Step-by-step explanation:

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Two friends went rowing on the river. They first traveled with current for 3 hours. The way back took them 4 hours and 48 minute
kaheart [24]

Answer:

1.5 mph

Step-by-step explanation:

Let speed of boat be x

let speed of current be c

Also, note D = RT

D is distance

R is rate

T is time

Now, for first leg, we can write:

(x+c)3 = D

And for second leg , we can write:

(x-c)4.8 = D  [note 4 hour 48 minutes is 4.8 hours]

We can equate both D's to get:

(x+c)3 = (x-c)4.8

3x + 3c = 4.8x - 4.8c

7.8c = 1.8x

We know x = 6.5 [given], plugging it in and solving for c:

7.8c = 1.8(6.5)

c = 1.5

Speed of Current = 1.5 miles per hour

3 0
2 years ago
Read 2 more answers
Find the length of the third side of the right triangle.
lara31 [8.8K]

Answer: you can use Pythagorean theorem , which formula is a^{2} + b^{2} =c^{2}, "a" and "b" are the sides, and "c" is the hypotenuse (the longest side, the side opposite to the 90 degree angle)

<em>Example:</em>

If they give that one side is 2 inches and the other side is 4 and you need to find the hypotenuse it would be like this:

1) plug the numbers to the formula

4^2 + 6^2 = c^{2}

2) solve the exponents of the numbers given (not the letter, in this case "c")

16 + 36 = c^2

3) combine like terms (in this case 16 +36)

52 = c^2

4) Finally, Find the square root of "c" to remove its exponent and do the same to the other side, in this case 52)

\sqrt{52}  = \sqrt{c}

(square root of 52 rounded to the nearest hundred is 7.21)

7.21 = c

<h3><u><em>So  7.21 is your missing side in this example</em></u></h3><h3>look up Pythagorean theorem Khan Academy</h3>
8 0
2 years ago
Which expression represents "10 subtracted from the quotient of 3 and a number"? a. 3n-10 b. 3/n - 10 (the / is a fraction bar)
kiruha [24]
B. because it is 10 being subtracted from the fraction. 
4 0
2 years ago
Which table contains only corresponding x-values and y-values where the value of y is one more than the product of x and 2?
Dmitry [639]

Answer:

Option (C)

Step-by-step explanation:

Value of y is more than the product of x and 2.

Equation representing the given condition will be,

y = 2x + 1

Therefore, by substituting the values of x in the equation we can get the table for the input - output values for the equation,

x        0       1         2        3        4

y         1        3        5        7        9

Therefore, table given in the Option (C) will be the correct option.

4 0
2 years ago
Help please. My teacher didn't give a clear explication on this topic.
dmitriy555 [2]
The answer is

C' = (0,3)



good luck
5 0
2 years ago
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