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labwork [276]
3 years ago
6

Plz help me with this

Mathematics
1 answer:
Delvig [45]3 years ago
4 0

Answer:  C) log₄ 84

<u>Step-by-step explanation:</u>

The rule for condensing (combining) log expressions that are added is MULTIPLICATION

log₄12 + log₄7 = log₄(12 × 7) = log₄ 84

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Given that the 3rd term in an arithmetic sequence is -2 and the 7th term is -10, tell me what the 1st term in the sequence is. E
Elenna [48]

Answer:

2

Step-by-step explanation:

a₃ = -2

a₇ = -10

The nth term of an arithmetic sequence is:

a = a₁ + d (n − 1)

Therefore:

-2 = a₁ + d (3 − 1) = a₁ + 2d

-10 = a₁ + d (7 − 1) = a₁ + 6d

Subtract the equations:

8 = -4d

d = -2

Plug into either equation to find the first term.

-2 = a₁ + 2(-2)

a₁ = 2

5 0
3 years ago
Wyoming is an approximately square-shaped state. The area of Wyoming is 97,818 square miles. To the nearest mile, how long is on
BartSMP [9]

The formula for area of a square is Area = side^2.

You are given the area, so now you have 97,818 = Side^2.

To find Side, take the square root of both sides:

Side = √97818

Side = 312.76 miles.

Rounded to the nearest mile is 313 miles.

5 0
3 years ago
In the figure below, if BE is the perpendicular bisector of AD what is the value of x?
vesna_86 [32]
I think it’s 3 because it’s just how I think it is I’m probably not correct but I think it’s 3
7 0
3 years ago
Plot the vertex and the axis of symmetry of this function on the provided graph.
tia_tia [17]

Answer:

(-2,-6)

-2

Step-by-step explanation:

To get the vertex take the number that's in the parathenses with the x and flip it's sign (in this case to a negative) which means we have

-2

 this is the x coordinate of the vertex.

Next take the number that's being subtracted (or added) on the outside and leave that as is (-6)

This is the y coordinate

which means we have (-2,-6)

the axis of symmetry is just the x coordinate of the graph

which is -2

5 0
3 years ago
Johnny spends half of his weekly paycheck on
Morgarella [4.7K]

Answer:

$ 322

Step-by-step explanation:

x = his paycheck

x - 1/2x + 55 = 216

1/2x + 55 = 216

1/2x = 216 - 55

1/2x = 161

x = 161 * 2

x = $ 322 <===

5 0
3 years ago
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