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Ivanshal [37]
4 years ago
10

What is the value of y?

Mathematics
1 answer:
Romashka [77]4 years ago
7 0

Answer:

y=42

Step-by-step explanation:

y+48+90=180

y=180-138

y=42

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If log2 5 = k, determine an expression for log32 5 in terms of k.
lukranit [14]

Answer:

log_3_2(5)=\frac{1}{5} k

Step-by-step explanation:

Let's start by using change of base property:

log_b(x)=\frac{log_a(x)}{log_a(b)}

So, for log_2(5)

log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)

Now, using change of base for log_3_2(5)

log_3_2(5)=\frac{log(5)}{log(32)}

You can express 32 as:

2^5

Using reduction of power property:

log_z(x^y)=ylog_z(x)

log(32)=log(2^5)=5log(2)

Therefore:

log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)

As you can see the only difference between (1) and (2) is the coefficient \frac{1}{5} :

So:

\frac{log(5)}{log(2)} =k\\

log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k

6 0
3 years ago
A rectangle has a width represented by the expression 2y and a length represented by 12y - 5. which expression represents the ar
docker41 [41]

Correct option is B. Area of rectangle is 24y^{2} - 10 y

We know that area of rectangle = Length × Width

We are given,

Length = 12y - 5

Width = 2y

So, area of rectangle = (12y - 5) × (2y)

=   (12y - 5) × (2y)

=   (12y ×  2y) - (5 × 2y)

=   24 y^{2} - 10 y

<h3>What are algebraic equations?</h3>

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants. Also Check: Algebraic Expressions. In simple words, equations mean equality i.e. the equal sign.

To learn more about algebraic equations from the given link

brainly.com/question/11516438

#SPJ4

6 0
2 years ago
Help pleaseeeee?????
Artyom0805 [142]
They would be identical so it would be 114
4 0
3 years ago
Show the Distributive property of division over addition and subtraction plz!
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The distributive property of division over addition and substraction is idk
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3 years ago
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One bread recipe calls before 2 1/3 cups of flour. another bread recipe calls for 2 1/2 cups of flour. tim has 5 cups of flour.
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He will have 1/6 of a cup left
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