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4 years ago

11

Solve this please

g2" id="TexFormula1" title=" logx + log \frac{x - 2}{21} = 3 log2" alt=" logx + log \frac{x - 2}{21} = 3 log2" align="absmiddle" class="latex-formula">
please with steps

1 answer:

VLD [36.1K]4 years ago

5 0

Answer:

x = 14 or —12

Step-by-step explanation:please see attachment for explanation

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2. Write an expression for the perimeter of a rectangle with a length of

solmaris [256]

Answer:

<h2><u><em>2 × [(3x² + x + 2) + (-x² – 5x + 1)] =</em></u></h2>

Step-by-step explanation:

Write an expression for the perimeter of a rectangle with a length of

(3x² + x + 2) and a width of (-x² – 5x + 1).

P = 2 × (L + W)

<u><em>2 × [(3x² + x + 2) + (-x² – 5x + 1)] =</em></u>

if you want the result:

4x²−8x+6

3 0

1 year ago

Find the value of x such that the data set has the given mean.

Feliz [49]

The value of x is 108. If the mean of the data set 100, 122, 107, 115, 107, x is 108.

According to the given question.

We have a data set 100, 122, 105, 115, 107, x .

Also, the mean of the data set is 108.

As we know that, mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Therefore, the mean of the data set 100, 122, 105, 115, 107, x is given by

Mean = [100 + 122 + 107 + 115+ 107 + x]/6

⇒ 108 × 6 = (551 + x)

⇒ 648 = 551 + x

⇒ x = 648 - 551

⇒ x = 97

Hence,the value of x is 108. If the mean of the data set 100, 122, 107, 115, 107, x is 108.

Find out more information about mean here:

brainly.com/question/11163338

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7 0

1 year ago

monica has 24 packs of fruit snacks.she wants to put 3 packs in each bowl.write a multiplication sentence that monica can use to

dolphi86 [110]

3x = 24, where x = the number of bowls she needs

8 0

4 years ago

Read 2 more answers

9. A snail travelled 48 cm in į h.

KiRa [710]

I could help but a snail travels 48 cm in what?

7 0

3 years ago

A 60-kg skier starts from rest from the top of a 50-m high slope. If the work done by friction is -6.0 kJ, what is the speed of

Fofino [41]

Answer:

31 m/s

Step-by-step explanation:

In order to find the speed of the skier at the bottom of the slope, you have to apply the Work-Energy Principle for mechanical energy.

W ncf= ΔEm

Where ΔEm is the variation of mechanical energy between two points of the displacement and Wncf is the work of all non-conservative forces.

The only non-conservative force producing work is the friction force. The normal force doesn't produce work because it's perpendicular to the displacement.

The variation of the mechanical energy can be considered from the top to the bottom of the slope.

Wncf= Emf-Emi

Where Emf is the final mechanicl energy and Emi is the initial mechanical energy.

The mechanical energy is defined by:

Em= Ep+Ek

Where Ep is the potential energy and Ek is the kinetic energy.

At the top of the slope, there's only potential gravitational energy (the kinetic energy is zero because the skier starts from rest)

Emi=Ep= mgh

m=60 kg, g=9.8 m/s² and h=50 m

Emi= 29400 J

At the bottom of the slope, there's only kinetic energy (the potential gravitational energy is zero because the height is zero)

Emf= Ek = 1/2mv² =30v²

where v is the speed and m is the mass.

Replacing in the equation:

-6.0 = 30v² - 29400

Solving for v (Adding 29400, dividing by 30, extracting the square root)

v=31.3 m/s

7 0

3 years ago