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zepelin [54]
3 years ago
13

5 ogarithmic equation in exponential form: log(5k + 4) = 8r

Mathematics
1 answer:
alexandr1967 [171]3 years ago
7 0

Given:

\log (5k+4)=8r

To find:

The exponential form of given equation.

Solution:

We have,

\log (5k+4)=8r

According to the property of the logarithm,

\log_ax=y\Rightarrow x=a^y

Using the above property of the logarithm, we get

5k+4=10^{8r}        

Therefore, the required equation in exponential form is 5k+4=10^{8r}.

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Debora [2.8K]

Answer:

c =  \sqrt{146}   \\ x = 48°

5 0
3 years ago
How far does the unicycle move if the wheel turns once?
algol [13]

The unicycle moves a distance of 251.20cm if the wheel turn once and the wheel must rotate 32 times to cover a distance of 100m

<h3>Circumference of a circle</h3>

The formula for calculating the circumference of a circle is given as:

C = 2pi r

r is the radius of the circle

a) r = 80/2 = 40cm

C = 2(3.14)(40)
C = 251.20 cm

Hence the unicycle moves a distance of 251.20cm if the wheel turn once

b) Number of revolution * 2pi r = distance covered

n * 2(3.14)(50) = 10000
314n = 10000
n = 10000/314

n =32

Hence the wheel must rotate 32 times to cover a distance of 100m

Learn more on circumference here: brainly.com/question/23986334

#SPJ1

8 0
2 years ago
Solve the system using substitution x+5y=0 3y+2x=-21
Crazy boy [7]

Answer:

\left \{ {{x = -15} \atop {y=3}} \right.

Step-by-step explanation:

\left \{ {{x + 5y = 0} (1) \atop {3y + 2x = -21}(2)} \right.  \left \{ {{x = -5y} \atop {3y + 2x = -21}} \right.    \left \{ {{x = -5y} \atop {3y + 2*(-5y) = -21}} \right.  \left \{ {{x = -5y} \atop {3y - 10y = -21}} \right. \\ \left \{ {{x = -5y } \atop {-7y = -21}} \right.  \left \{ {{x = -5y} \atop {y= 3 }} \right.  \left \{ {{x = -5 * 3} \atop {y=3}} \right.=> \left \{ {{x=-15} \atop {y=3}} \right.

5 0
3 years ago
Read 2 more answers
Write an expression to represent the product of 6 and the square of a number plus 15.
inn [45]

Answer:

6x² + 15

6

Step-by-step explanation:

Let the number be x.

"the square of a number"

x²

"the product of 6 and the square of a number"

6x²

"the product of 6 and the square of a number plus 15"

6x² + 15

The coefficient is the number that multiplies the variable, so it is 6.

8 0
3 years ago
Patrica is trying to compare the average rainfall of New York to that of Arizona. A comparison between these two states for the
Elanso [62]

Liters i guess. idk. im not rlly sure

7 0
3 years ago
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