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wolverine [178]
3 years ago
14

Log4(3x−2)=4.85 The 4 is a base. How do I solve this?

Mathematics
2 answers:
stealth61 [152]3 years ago
4 0

Answer:

x=1.070833

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(3x−2) = 4.85

(4) (3x) + (4) (−2) = 4.85 (Distribute)

12x + − 8 = 4.85

12x − 8 = 4.85

Step 2: Add 8 to both sides.

12x − 8 + 8= 4.85 + 8

12x=12.85

Step 3: Divide both sides by 12.

12x/12

=

12.85/12

x = 1.070833

Alex777 [14]3 years ago
4 0

Answer:

x = 277.915...

Step-by-step explanation:

4^{4.85} = 3x -2 \\831.746... = 3x - 2\\x = 277.915...

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A soccer field measures 90 meters wide by 120 meters long starting together in one corner you walk the diagonal to the opposite
disa [49]

Answer:

The friend walks <em>60 m</em> further than the other person

Step-by-step explanation:

Given the dimensions of the soccer field:

Width = 90 m

Length = 120 m

One person walks along its diagonal.

As the length and width of the field are perpendicular, Diagonal can be calculated using Pythagorean Theorem:

Diagonal ^2 =Length^2+Width^2

Diagonal ^2 =90^2+120^2\\\Rightarrow Diagonal ^2 =8100+14400\\\Rightarrow Diagonal ^2 =22500\\\Rightarrow Diagonal =150\ m

So, the distance walked by the person along the diagonal = 150 m

Distance walked by the person's friend to reach the opposite point = Width + Length = 120 + 90 = 210 m

So, the difference of the two distances will give us the distance that was walked further by the friend.

The difference is = 150 - 90 = <em>60 m</em>

<em></em>

So, the friend walks 60 m further than the other person.

6 0
3 years ago
How do you Simplify this expression5(x+1)-5x
Mariana [72]

Answer:

5

Step-by-step explanation:

Begin by removing the brackets.

5x + 5 - 5x

Notice that there are two 5xs. They are of opposite signs so they cancel

Answer 5

6 0
3 years ago
Read 2 more answers
Evaluate the expression t-6/4 for t =38
Finger [1]

Answer:

Exact Form:

73  over 2

Decimal Form:

36.5

Mixed Number Form:

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Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

8 0
3 years ago
Please only answer if you're confident.
lina2011 [118]

Answer:  ∠B=70°

Step-by-step explanation:

It is shown in the diagram that ∠A and ∠B is vertical angles.

  • Vertical angle theorem: opposite angles are congruent.

<u>Solve:</u>

∠A=∠B

8x+6=4x+38

4x=32

x=8

<h2>∠B=4x+38=4(8)+38=32+38=70°</h2>
4 0
3 years ago
Read 2 more answers
PLEASE HELP IMAGE ATTACHED!!! the area of this parallelogram is 120mm^2. Find the value of X
Marta_Voda [28]
The area of a parallelogram is the base times the height so:

A=bh, in this case:

A=hx

x=A/h, we are told that A=120mm^2 and h=10mm so

x=120mm^2/10mm

x=12mm
3 0
3 years ago
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