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Black_prince [1.1K]
3 years ago
6

Is the expression x3•x3•x3 equivalent to x3•3•3

Mathematics
1 answer:
avanturin [10]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

So I'll assume that x3 is 3x -->

so 3x • 3x • 3x =? to 3x • 3 • 3?

You can first simplify this to 3^3x =? to 3x • 9 -->

27x =? to 3x • 9 => so there are many solutions but if per say x = 5 then yes it would be equal.

Check with another number per instance 8

27(8) = 216 => 24(9) = 126

Yes they are equal

Hope this helps!

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Using the double number line shown, for the equation 5x+4=14, what is the value of x?
Alex777 [14]

Correct option is:

B. 2

<h2>Explanation:</h2>

From the double number line shown we can set:

(1) \ 0x=0 \\ \\ (2) \  x=? \\ \\ (3) \ 5x=10 \\ \\ (4) \ 5x+4=14

So we can solve this problem by using either equation (3) or (4). So, choosing equation (3):

5x=10 \\ \\ \\ Divide \ both \ sides \ by \ 5: \\ \\ x=\frac{10}{5} \\ \\ \boxed{x=2}

<h2>Learn more:</h2>

Solving equations: brainly.com/question/7747308

#LearnWithBrainly

3 0
3 years ago
Gabe is buying a pair of jeans at a local store that are priced $45. He knows that the country he lives in has an 8% tax added o
Sonbull [250]

Answer:

Yes it will

Step-by-step explanation:

The equation would be 50>45+(45*.08)

Once solving it, you will get 50 >48.6

8 0
4 years ago
How many miles will a person run during a 10 kilo run
alina1380 [7]
A person will run 6.2137 miles since you can convert 10 km or kilo to miles

I hope this helped

4 0
3 years ago
Read 2 more answers
a sailmaker is designing a mainsail for a newly constructed sailboat. the mainsail foot is 13 feet long, the luff is 10 feet lon
Vikentia [17]
  • (A) The mainsail foot is 13 feet long, the luff is 10 feet long, the leach is 6.93 feet long, and the mainsail area is 64.85 ft².
  • (B) The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff forms a 50° angle with the leach at the head, requiring the length of the leach and the area of the mainsail.

<h3>What exactly is sines law?</h3>
  • The law of sines refers to the ratio of a triangle's side length to the sine of the opposite angle, which is the same for all sides.
  • SinA/a = SinB/b = SinC/c
  • Where A, B, and C represent the triangle's angle and a,b, and c represent the opposite sides of the triangle's angle.

So, Part A:

By employing the sines law,

  • SinA/10 = SinB/13
  • SinA/10 = Sin50/13
  • A = 36.10
  • C = 180-(180-36.10)
  • C = 93.90

So,

  • Sin36.10 / a = Sin50/ b = Sin93.90/c
  • Sin36.10 / 10 = Sin50/ 13 = Sin93.90/c
  • c = Sin93.90 × 13 ÷ Sin50
  • c = 16.93 ft

Now, Part B:

Area of the mainsail:

  • = 1/2 × abSinC
  • = 1/2 × 10 × 13 × Sin93.90
  • =  64.85

Therefore, the answers to both parts are:

  • (A) The mainsail foot is 13 feet long, the luff is 10 feet long, the leach is 6.93 feet long, and the mainsail area is 64.85 ft².
  • (B) The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff forms a 50° angle with the leach at the head, requiring the length of the leach and the area of the mainsail.

Know more about sines law here:

brainly.com/question/27174058

#SPJ4

The complete question is given below:

A sailmaker is designing a mainsail for a newly constructed sailboat. The mainsail foot is 13 feet long, the luff is 10 feet long, and the luff makes a 50° angle at the head with the leach.

Part A: Determine the length of the leach.

Part B: Find the area of the mainsail.

PLS HELP :) 50 POINTS!!!

6 0
2 years ago
Divide the polynomials by using long division, (x3-x2-2x+14)÷(x-1)
umka2103 [35]

The quotient is x²-2 +12/(x-1).

_____

<em>Comment on the attachment</em>

You see that I did not maintain strict alignment between quotient terms and dividend terms. For polynomial long division, this is less important than for numerical long division.

In numerical long division, the value of a digit is determined by its place relative to the decimal point and other digits. If a digit gets moved a position right or left, its value changes, so it is important to put and keep digits in the appropriate place. Zeros are used as necessary in the quotient to help do this.

In polynomial long division, each "digit" is the coefficient of some power of the variable. That power is expressed explicitly. We do not depend on the position of the number in the answer to tell us the power of the variable it goes with. (That's slightly different for synthetic division.)

Here, the coefficient of x in the quotient is 0, but no "placeholder" is needed to show that.

7 0
3 years ago
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