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Allushta [10]
3 years ago
6

Match each square root on the left with its value on the right

Mathematics
2 answers:
PtichkaEL [24]3 years ago
8 0
16 = 4
121 = 11
64 = 8 
4 = 2
81 = 9
Slav-nsk [51]3 years ago
4 0
The square root of 16 goes with 4
the square root of 121 goes with 11
the square root of 64 goes with 8
the square root of  4 goes with 2
the square root of  81 goes with 9
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Expand a logarithmic expression
ivanzaharov [21]

The logarithmic expression is

log (\sqrt{z^5}/(x^3y))

To expand the expression we have to use some properties of logarithm.

We know that log(m/n) = log (m) - log(n)

By using this property we can write,

log(\sqrt{z^5}) - log(x^3y)

Square root means to the power 1/2, so for \sqrt{z^5}, we can write z^(5/2).

log(z^(5/2)) - log(x^3y)

Now we have to use another property of logarithm.

We know that, log(mn) = log(m) + log(n)

So we will use this property to log(x^3y)

log(z^(5/2)) - log(x^3y)

log(z^(5/2)) - (log(x^3) + log(y))

log(z^(5/2)) - log(x^3) - log(y)

Now we have to use another property of logarithm.

We know that, log(a^m) = m log(a)

By using this property we can write,

(5/2)log(z) - 3log(x) - log(y)

This is the required aswer here.

8 0
3 years ago
Read 2 more answers
3+6×5+4÷2-7 using the same expression,add parentheses so that the value of the expression is 38​
solmaris [256]

Answer:

3+6×(5+4÷2)-7  

Step-by-step explanation:

To solve the expression use order of operations.

Right now the expression solves to:

3+6×5+4÷2-7                  6* 5 = 30

3 + 30 + 4÷2-7                4 ÷ 2 = 2

3 + 30 + 2 - 7                   Add and subtract left to right.

33 + 2 - 7

35 - 7

28

To make it solve to 38, add parenthesis:

3+6×(5+4÷2)-7                (5+4÷2) = 7

3+6×(7)-7                        6*7 = 42

3 + 42 - 7                        Add and subtract from left to right

45 - 7

38

7 0
3 years ago
Caroline is going to the state fair with a group of friends. It costs her $12 for admission, and once she is inside the fair she
ioda

Answer:

a) y=0.75x+12    (y=ax+b)

b)a=0.75

c)b=12 (b=y-intercept, the place where the graph hits the Y axis). It's the starting cost, the cost that will be paid only one time

d) starts at (0,12) and goes up +0.75 each time

4 0
3 years ago
Read 2 more answers
And check your answers. At the end of the activity, write a brief evaluation of your work.
Rashid [163]

Answer:

<em>16.5 gallons per minute.</em>

Step-by-step explanation:

The given table is:

\begin{center}\begin{tabular}{ c c } Time(minutes) & Water(gallons) \\ 1 & 16.50  \\  1.5 & 24.75  \\   2 & 33   \\\end{tabular}\end{center}

We are given this linear function in the form of table.

Let 't' be the time and W(t) be the function with which the gallons of water are changing with time.

We can use slope intercept form to find the equation.

y=mx+c

Slope of a function:

m=\dfrac{y_2-y_1}{x_2-x_1}

x_2 = 1.5\\x_1 = 1\\y_2 = 24.75\\y_1 = 16.50

m=\dfrac{24.75-16.50}{1.5-1}\\\Rightarrow m =16.5

This slope is the constant of proportionality.

i.e. the rate at which the number of gallons are changing per minute.

So, the answer is <em>16.5 gallons per minute.</em>

8 0
3 years ago
What is the value of k in the equation?
ch4aika [34]

Answer:

13

Step-by-step explanation:

i did the assignment :)

3 0
2 years ago
Read 2 more answers
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