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Nataliya [291]
3 years ago
5

Solve using logs 5^(3x-6)=125

Mathematics
1 answer:
Hitman42 [59]3 years ago
3 0
5 ^{3x-6} =125 \\ \\ 5 ^{3x-6} =5^3 \\ \\3x-6 =3 \ \ |+6 \\ \\3x=3+9 \\ \\3x=12 \ \ /:3 \\ \\x=\frac{12}{3} \\ \\x= 3
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If the point (a,3) lies on the graph of the equation 5x + y = 8, then a=<br>a.01<br>b.0-1<br>c.0-7​
fomenos

Answer:

A (a = 1)

Step-by-step explanation:

A coordinate point is always in the form (x,y) that means the first point is always x-coordinate and the second point is always y-coordinate.

The equation given is:

5x + y = 8

The point is (a,3), so that means x = a and y = 3

We substitute the values into the equation and find a. Shown below:

5x + y = 8

5(a) + (3) = 8

5a + 3 = 8

5a = 8 - 3

5a = 5

a = 5/5

a = 1

Answer choice A is right

6 0
3 years ago
Pam’s grandfather has a garden that measures 4 feet by 6 feet. How much will the area be increased if he doubles the length and
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Answer:

The area will be increased by 72 feet.

Step-by-step explanation:

4 x 6 = 24

Now we have to double those lengths.

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So the new equation would be: 8 x 12 = 96

Now we take the original area and subtract it by the new area.

96 - 24 = 72

Hope this helps:)

7 0
2 years ago
Two students were asked if they liked to read. Is this a good example of a statistical question? Why or why not? A Yes, this is
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c

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Suppose you have 5 riders and 5 horses, and you want to pair them off so that every rider is assigned one horse (and no horse is
maw [93]

There are 120 ways in which 5  riders and 5 horses can be arranged.

We have,

5 riders and 5 horses,

Now,

We know that,

Now,

Using the arrangement formula of Permutation,

i.e.

The total number of ways ^nN_r = \frac{n!}{(n-r)!},

So,

For n = 5,

And,

r = 5

As we have,

n = r,

So,

Now,

Using the above-mentioned formula of arrangement,

i.e.

The total number of ways ^nN_r = \frac{n!}{(n-r)!},

Now,

Substituting values,

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^5N_5 = \frac{5!}{(5-5)!}

We get,

The total number of ways of arrangement = 5! = 5 × 4 × 3 × 2 × 1 = 120,

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There are 120 ways to arrange horses for riders.

Hence we can say that there are 120 ways in which 5  riders and 5 horses can be arranged.

Learn more about arrangements here

brainly.com/question/15032503

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7 0
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