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2 years ago

Assume log bx = 0.49. Evaluate. Logbx^2

Mathematics

1 answer:

Snowcat [4.5K]2 years ago

8 0

Step-by-step explanation:

Use exponent property of logs.

logb(x²) = 2 logb(x) = 2(0.49) = 0.98

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Two numbers, x and y, are related as described in this statement: x to the power of 3 is equal to y to the power of 5. Which equ

Aleonysh [2.5K]

The mathematical sentence can be written as:

x^3 = y^5

<h3>How to write the expression?</h3>

A number a to the power of n is written as:

a^n

Then:

"x to the power of 3 is equal to y to the power of 5"

Would be written as:

x^3 = y^5

Particularly, this does not appear in the given options, but this is the correct and simplest way of writing the given mathematical sentence.

If you want to learn more about expressions, you can read:

brainly.com/question/4344214

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2 years ago

PLEASE ANSWER THIS: look at the pic for question. Thanks!!!

Nadya [2.5K]

Answer:

$\text{D. }b^2-4ac>0$

Step-by-step explanation:

The equation $b^2-4ac$ represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.

For any quadratic:

If the discriminant is positive, or greater than 0, the quadratic has two solutions

If the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).

If the discriminant is negative, or less than 0, the quadratic has zero solutions

In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have $b^2-4ac>0$ .

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2 years ago

The diameter of the moon is about 3500 km. Approximate the surface area of the moon using the formula for the surface area of a

horrorfan [7]

Answer:

$3.8465 *10^7$ square kilometers

Step-by-step explanation:

The surface area of a sphere can be found using the formula $SA=4\pi r^2$ . Since the diameter is 3500 km then its radius is half of this. 3500 divided in two is 1,750 units. Substitute r=1,750.

$SA=4\pi r^2\\SA = 4 \pi (1750)^2\\SA = 4 \pi *3,062,500\\SA =38,465,000$

The surface area of the moon is about 38,465,000 square kilometers. Write this is scientific notation using base. $3.8465 *10^7$

5 0

2 years ago

What does a equal<br> a/6 = 15/2

OlgaM077 [116]

Answer:

a = 45

Step-by-step explanation:

Cross multiply: 2a =90

Divide both sides by 2: 45

I hope this helped, please mark Brainliest, thank you!

4 0

2 years ago

Suppose an airline policy states that all baggage must be box shaped with a sum of length, width, and height not exceeding 174 i

Leya [2.2K]

Answer:

The square-based box with the greatest volume under the condition that the sum of length, width, and heigth does not exceed 174 in is a cube with each edge of 58 in and a volume of $195112 in^{3}$

Step-by-step explanation:

For this problem we have two constraints, that are as follows:

1) Sum of length, width, and heigth not exceeding 174 in

2) Lenght and width have the same measure (square-based box)

We know that volume is equal to the product of all three edges, and with the two conditions into account we have the next function:

$V=(w^{2})(174-2w)\\V=174w^{2}-2w^{3}$

The interval of interest of the objective function is [0, 87]

This problem requieres that we maximize the function that defines the volume. We start calculating the derivative of the function, wich is:

$V'=348w-6w^{2} \\V'=(348-6w)(w)$

We need to remember that the derivative of a function represents the slope of said function at a given point. The maximum value of the function will have a slope equal to zero.

So we find the value in wich the derivative equals zero:

$0=(348-6w)(w)\\w_1=0\\w_2=348/6=58$

The first value ( $w=0$ ) will leave us with a 'height-only box', so the answer must be $w=58 in$

The value is between the interval of interest.

And, once we solve for the constraints, we have that:

Lenght = Width = Heigth = 58 in

Volume = $195112 in^{2}$

8 0

2 years ago