Need help plz + will give brainlest Thanks in advance

Which number sentence is true? A. -56.8 divided by (-3.2) = -17.75 B. -56.8 divided by 3.2 = 17.75 C. 56.8 divided by (-3.2) = -

Bogdan [553]

I think it’s D sorry if I’m incorrect

8 0

2 years ago

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Can You be more specific

frozen [14]

Answer:

What's the question you need help on?

6 0

3 years ago

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I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

3 years ago

Find the dimensions of the rectangle with area 256 square inches that has minimum perimeter, and then find the minimum perimeter

mezya [45]

Answer:

Dimensions: $A=a\cdot b=256$

Perimiter: $P=2a+2b$

Minimum perimeter: [16,16]

Step-by-step explanation:

This is a problem of optimization with constraints.

We can define the rectangle with two sides of size "a" and two sides of size "b".

The area of the rectangle can be defined then as:

$A=a\cdot b=256$

This is the constraint.

To simplify and as we have only one constraint and two variables, we can express a in function of b as:

$b=\frac{256}{a}$

The function we want to optimize is the diameter.

We can express the diameter as:

$P=2a+2b=2a+2*\frac{256}{a}$

To optimize we can derive the function and equal to zero.

$dP/da=2+2\cdot (-1)\cdot\frac{256}{a^2}=0\\\\\frac{512}{a^2}=2\\\\a=\sqrt{512/2}= \sqrt {256} =16\\\\b=256/a=256/16=16$

The minimum perimiter happens when both sides are of size 16 (a square).

4 0

3 years ago

5. HELP ASAP!!! GIVING BRAINLIEST!!! Find each missing measure.

Sladkaya [172]

Answer:

x = 6

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

All of the angles add up to 180 degrees (since it is a triangle), so

(11x - 3) + (7x + 5) + (13x - 8) = 180

Then, combine the like terms.

31x - 6 = 180

Now, out goal is to separate the x from everything. To do that, we need to add 6 to 180.

31x = 186

Then divide by 31.

x = 6

(Feel free to replace x with 6 back in the previous equation to double check it!)

4 0

2 years ago

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