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Arlecino [84]
3 years ago
7

Branliest offered solve the proportion 12/x=6/7 6x/4=8/12 7/x+13=4/12 y+5/y=10/8

Mathematics
1 answer:
Tju [1.3M]3 years ago
6 0
12/x=6/7 answer: x=14
6x/4=8/12 answer x = 0.4444444444
7/x+13=4/12 answer x=8
y+5/y=10/8 answer y=20
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PLEASE HELP 30 POINTS Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building mater
jarptica [38.1K]

Logarithmic functions and exponential functions are inverse and opposite of one another

The logarithmic function is y = \log_2(x), and the length at 8 pascals is 3 units

<h3>How to determine the logarithmic function</h3>

The exponential function is given as:

f(x) = 2^x

Express f(x) as y

y = 2^x

Swap the positions of x and y

x = 2^y

Take the logarithm of both sides

\log(x) = \log(2^y)

Apply the rule of logarithm

\log(x) = y\log(2)

Divide both sides by log(2)

y = \frac{\log(x)}{\log(2)}

Apply the change of base rule of logarithm

y = \log_2(x)

When the strength is 8 pascals, we have:

y = \log_2(8)

Express 8 as 2^3

y = \log_2(2^3)

So, we have:

y =3 \log_2(2)

Evaluate log 2 base 2

y =3

Hence, the logarithmic function is y = \log_2(x), and the length at 8 pascals is 3 units

Read more about logarithmic and exponential functions at:

brainly.com/question/11464095

7 0
2 years ago
Caroline walks around a square pond with 30 m sides. Her paces are about 60 cm long. About how many paces will she take?
Elza [17]

Step-by-step explanation:

Perimeter of a square = 4 × L

L = Length of a side of the pond = 30m

Perimeter = 4 × L = 4 × 30 = 120m = 12,000 cm

Pace = 60cm

Number of paces = 12,000/60 = 200 paces

3 0
3 years ago
A box covers an area of 612
Step2247 [10]
Question is unclear to me ,, can you rewrite it in a nicer way so i can answer?
7 0
3 years ago
Veronica is choosing between two health clubs after how many months will the total cost for each health club be the same
Assoli18 [71]

Question:

Veronica is choosing between two health clubs. after how many months will the total cost for each health club be the​ same? yoga studio a: membership: $24.00 monthly fee: 21.50. yoga studio b: membership: $41.00 monthly fee: $17.25

Answer:

It takes 4 years for the total cost of each club to become equal

Step-by-step explanation:

Given:

For yoga studio A:

membership: $24.00

monthly fee: 21.50.

For yoga studio B:

membership: $41.00

monthly fee: $17.25

To Find:

Number of months after which the total cost for each health club be the​ same = ?

Solution:

Let   x be the number of months of membership, and   y  be equal the total cost.

For Yoga club A

y = 21.50 x + 24

For Yoga club B    

y = 17.25 x + 41.00

we know that the prices,   y , would be equal, we can set the two equations equal to each other.

21.50 x + 24 =17.25 x+ 41.00

Grouping the like terms,

21.50x - 17.25 x= 41.00 -  24

4.25x=17

x=\frac{17}{4.25}

x = 4

6 0
3 years ago
Simplify -2(-4x + 5)
Bingel [31]

Answer:

the answer would be 8x-10

3 0
3 years ago
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