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Grace [21]
2 years ago
5

Solve the equation. 6^3r = 36

Mathematics
2 answers:
Hoochie [10]2 years ago
8 0

Answer:

r = 2/3

Step-by-step explanation:

6^{3r} =36

if:

36=6^{2}

6^{3r} =6^{2}

then:

3r=2

r=2/3

Hope this helps

Degger [83]2 years ago
5 0

Answer:

r=\frac{2}{3}

Step-by-step explanation:

6^{3r}=36\\\\log_6(6^{3r})=log_6(36)\\\\3r=2\\\\r=\frac{2}{3}

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I'll. ark brainlyest and give a lot of points for answering this right ​
valina [46]

Answer:

\displaystyle T'(  2,4)

\displaystyle U'( 1,1)

\displaystyle S' ( 3,2)

Step-by-step explanation:

we current vertices of the given triangle

  • \displaystyle T( - 2,4)
  • \displaystyle U( - 1,1)
  • \displaystyle S ( - 3,2)

remember that,

\rm\displaystyle(x,y) \xrightarrow{ \rm reflection \:  over \: y - axis}( -  x,y)

so we obtain:

\rm\displaystyle \: T( - 2,4) \xrightarrow{ \rm reflection \:  over \: y - axis}T'(  2,4)

\rm\displaystyle \: U( - 1,1) \xrightarrow{ \rm reflection \:  over \: y - axis}U' ( 1,1)

\rm\displaystyle S( - 3,2) \xrightarrow{ \rm reflection \:  over \: y - axis}S'( 3,2)

6 0
2 years ago
Modeling Exponential Growth and Decay In Exercises 119 and 120, Find the exponential function
Lubov Fominskaja [6]

Answer:

There is no exponential function passing through (1,1) and (5,5).

Step-by-step explanation:

We have the following exponential function

y = Ce^{kt}

The function passes through these two points:

(1,1): This means that when t = 1, y = 1

(5,5): This means that when t = 5, y = 5.

So

(1,1)

y = Ce^{kt}

Ce^{k} = 1

e^{k} = \frac{1}{C}

(5,5)

y = Ce^{kt}

5Ce^{k} = 1

Ce^{k} = \frac{1}{5}

From above, we have that:

e^{k} = \frac{1}{C}

C\frac{1}{C} = \frac{1}{5}

1 = \frac{1}{5}

1 cannot be equal to 1/5, so this is wrong.

This means that there is no exponential function passing through (1,1) and (5,5).

5 0
3 years ago
Express the area of the entire rectangle.
Alexxandr [17]
2X+9
Combine like terms
4 0
3 years ago
A scuba diver is swimming 15 feet below the water’s surface. The diver swims up slowly at 0.5 feet per second for 4 seconds; and
STatiana [176]
0.5 x 4 = 2 feet / 2 feet in 4 seconds
15 - 2 = 13
New depth: 13 feet

0.4 x 3 = 1.2 feet / 1.2 feet in 3 seconds
13 - 1.2 = 11.8
New depth: 11.8 feet

8 0
3 years ago
Read 2 more answers
A gardener uses 144 feet of fencing to build a rectangular garden. The function A(w)=24w−w2 can be used to find the area of the
levacccp [35]

Answer:

The graph of the equation is shown in the picture attached below.

We can see w = 12 corresponds to the global maximum of the function, and for any w greater than 12 the value of A(w) decreases.

This means that for any value of the width greater than 12, the function cannot model the situation.

Making the equation only valid for

w ∈ [0,12]

3 0
3 years ago
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