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3 years ago

Prime numbers and odds numbers

2 answers:

5 0

Prime numbers are numbers that can be multiplied more times than just one and itself. And odd numbers are numbers that you can only multiply by one and itself

Tju [1.3M]3 years ago

5 0

Prime numbers are numbers that can only be multiplied by one or themselves

Odd number are number that can not be divided by 2

Not all prime are odd number, 2 is a prime number

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There’s only one question (picture)

oee [108]

Area of circle is 314 inches^2

Circumference of circle is 62.8 inches

Step-by-step explanation:

We need to find area and circumference of the circle whose diameter is 20 inches.

Area of circle

The formula used to find area of circle is:

$Area=\pi r^2$

value of π = 3.14

we know radius = diameter/2

So, radius = 20/2 = 2

Putting value of π and radius we get Area:

$Area=\pi r^2\\Area= 3.14*(10)^2\\Area=3.14*100\\Area=314\,\,inches^2$

So, Area of circle is 314 inches^2

Circumference of Circle

The formula used to find circumference of circle is:

$Circumference=\pi d$

value of π = 3.14

diameter= 20

Putting value of π and diameter we get Circumference:

$Circumference=\pi d\\Circumference=3.14*20\\Circumference=62.8\,\,inches$

So, circumference of circle is 62.8 inches

Keywords: Area and Circumference of Circle

Learn more about Area and Circumference of Circle at:

#learnwithBrainly

7 0

3 years ago

54. Find <img src="https://tex.z-dn.net/?f=y%5E%7B%5Cprime%7D" id="TexFormula1" title="y^{\prime}" alt="y^{\prime}" align="absmi

Stella [2.4K]

Step-by-step explanation:

Take the natural log of both sides:

$ln ({x}^{y} ) = ln ({y}^{x} )$

Logarithm rules allow you to bring down the exponents:

$yln(x) = xln(y)$

Now differentiate. We will have to implicitly differentiate 'y' since it is a function of 'x'. Both sides require the product rule:

$\frac{dy}{dx} ln(x) + \frac{y}{x} = ln(y) + \frac{x}{y} \frac{dy}{dx}$

Isolate the terms that have y' since that is what we want:

$\frac{dy}{dx} ln(x) - \frac{x}{y} \frac{dy}{dx}= ln(y) - \frac{y}{x}$

Factor out y' to get:

$\frac{dy}{dx}( ln(x) - \frac{x}{y})= ln(y) - \frac{y}{x}$

Therefore:

$\frac{dy}{dx} = \frac{ln(y) - \frac{y}{x} }{ln(x) - \frac{x}{y} }$

7 0

2 years ago

(Algebra2 HELP please)

Savatey [412]

Maximizing profit, is a way of getting the highest possible profit, from a function.

The bakery should make 45 loaves of A and 0 loaves of B, to maximize profit

To do this, we make use of the following representations.

x represents source A, and y represents source B

So, we have:

Constraint 1:

A uses 5 pounds, and B uses 2 pounds of oats.

Available: 180

The above condition is represented as;

$\mathbf{5x + 2y \le 180}$

Constraint 2:

A and B use 3 pounds of flour each.

Available: 135

The above condition is represented as;

$\mathbf{3x + 3y \le 135}$

Objective function

A yields $40, while B yields $30

So, the objective function is:

$\mathbf{Maximize\ Z = 40x + 30y}$

So, we have:

$\mathbf{Maximize\ Z = 40x + 30y}$

Subject to

$\mathbf{5x + 2y \le 180}$

$\mathbf{3x + 3y \le 135}$

$\mathbf{x,y \ge 0}$

See attachment for the graph of the subjects

From the graph, we have the corner points to be:

$\mathbf{(x,y) = \{(0,45),(30,15),(45,0)\}}$

Substitute these values in the objective function

$\mathbf{Z = 40(0) +30(45) = 1350}$

$\mathbf{Z = 40(30) +30(15) = 1650}$

$\mathbf{Z = 40(45) +30(0) = 1800}$

The maximum value of Z is at: (45,0)

This means that: the bakery should make 45 loaves of A and 0 loaves of B, to maximize profit

Read more about maximizing functions at:

brainly.com/question/14728529

6 0

3 years ago

4x+8y=12 in slope intercept form?

mr_godi [17]

Answer:

y = -1/2 x + 3/2

Step-by-step explanation:

Solve for y.

4x + 8y = 12

8y = -4x + 12

y = -4/8 x + 12/8

y = -1/2 x + 3/2

3 0

3 years ago

Read 2 more answers

Please help me with this question, #5.

mel-nik [20]

A.Dose every point on the line

7 0

3 years ago