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g100num [7]
3 years ago
5

PLEASE HELP ASAP! log base4(x^2+x+4)=2 solve for x

Mathematics
2 answers:
Ratling [72]3 years ago
7 0

Step-by-step explanation:

multiply all the numbers by 4 I think except for the exponent

anzhelika [568]3 years ago
5 0

Answer:

i-i13/2 hope this helps

Step-by-sitep explanation:

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The length of one side of APTV is given. Use the relationship between the sides of a 30°-60°-90° triangle to find the lengths of
aliina [53]

Answer:

your answers will be 3 and 6

Step-by-step explanation:

have a nice day !!^_^

8 0
3 years ago
The spinner shown is divided into 8 equal sections. What is the probability that the arrow will land on a section labeled with a
Oxana [17]

The probability of the arrow will land on a section labeled with the number greater than 3 is \frac{5}{8}

Step-by-step explanation:

Given,

The spinner is divided into 8 sections say named 1, 2, 3, 4, 5, 6, 7, 8

To find the P : probability of the arrow will land on a section labeled with the number greater than 3

Formula

<u>P = (the number of possible outcomes) ÷ ( the number of total result)</u>

We will count the probability when the arrow land on either 4 or 5 or 6 or 7 or 8 = 5 times

Total number of result = 8

Hence the probability = \frac{5}{8}

8 0
4 years ago
Which of these could be the dimensions of a unit cube? Select all that apply.
nevsk [136]

Answer:

1 ft. by 1 ft. by 1 ft.

1 mm by 1 mm by 1 mm

Step-by-step explanation:

it's a cube, all sides are the same :)

4 0
3 years ago
3a+2b=8<br><br> \displaystyle a = 6b + 6 a=6b+6
kherson [118]
First, let's write it like this:
3a+2b=8
Subtract 2b from both sides.
3a+2b-2b=8-2b
3a=8-2b
Divide both sides by 3.
\frac{3a}{3}=\frac{8-2b}{3}
a=\frac{8-2b}{3}

Now that we know what's the value of a, let's find the value of b
3\cdot \frac{8-2b}{3}+2b=8
Let's take the first part.
3\cdot \frac{8-2b}{3}
Multiply the fractions.
=\frac{\left(8-2b\right)\cdot \:3}{3}
Cancel the common factor, which is 3.
=8-2b
We would be left with.
=8-2b+2b
Add like terms.
=8
We would be left with.
8=8
Subtract 8 from both sides.
8-8=8-8
0=0

This tells us that b can be any number. 

Let me know if you need any help!
Thanks!
-TetraFish
5 0
3 years ago
What is the answer for #7?
Karo-lina-s [1.5K]

Answer:

  • radius: 1.84 in
  • height: 3.68 in

Step-by-step explanation:

After you've worked a couple of "optimum cylinder" problems, you find that the cylinder with the least surface area for a given volume has a height that is equal to its diameter. So, the volume equation becomes ...

  V = πr²·h = 2πr³ = 39 in³

Then the radius is ...

  r = ∛(39/(2π)) in ≈ 1.83779 in ≈ 1.84 in

  h = 2r = 3.67557 in ≈ 3.68 in

_____

The total surface area of a cylinder is ...

  S = 2πr² + 2πrh

For a given volume, V, this becomes ...

  S = 2π(r² +r·(V/(πr²))) = 2πr² +2V/r

The derivative of this with respect to r is ...

  S' = 4πr -2V/r²

Setting this to zero and multiplying by r²/2 gives ...

  0 = 2πr³ -V

  r = ∛(V/(2π)) . . . . . . . . looks a lot like the expression above for r

__

If we substitute the equation for V into the equation just above this last one, we have ...

  0 = 2πr³ - πr²·h

Dividing by πr² gives ...

  0 = 2r - h

  h = 2r . . . . . generic solution for cylinder optimization problems

3 0
3 years ago
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