All categories

3 years ago

Exihibit a counterexample for the following. Every prime number is odd.

Mathematics

1 answer:

kykrilka [37]3 years ago

3 0

A counter example would be the number 2.

2 is a prime number, because it only has two factors ( itself and 1)

Yet 2 is also an even number, because it can be exactly divided by two.

So the number 2 proves that not every prime number is odd.

You might be interested in

Find the median and mean of the data set below:<br> 13, 6, 47,0

Readme [11.4K]

Answer:

Mean=16.5

Median=9.5

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Please explain how to solve this:

Scorpion4ik [409]

Answer:

x = 47

Step-by-step explanation:

Because the lines are parallel, we know that some angles are the same, see the images attached. That means that A and B in the image are the same angles. So we know that angle A totals to 78 degrees. And the angle outside the triangle is 35. So the angle inside the triangle is

78 - 35 = 43.

The interior angles of a triangle add up to 180. We know that one angle is 43 and another angle is 90 because of the indicating square angle marker. That means that

43 + 90 + x = 180.

Then we can simplify the equation:

133 + x = 180⇒

x = 180 - 133⇒

x = 47

7 0

2 years ago

Janet measured a shopping center and made a scale drawing. The scale she used was 1 inch : 6 feet. A bakery in the shopping cent

VikaD [51]

Answer:

The length of the actual bakery is 936 inches or 78 feet

Step-by-step explanation:

From the question we are told:

Janet measured a shopping center and made a scale drawing. The scale she used was 1 inch : 6 feet.

Let both the measurement of the shopping center and scale drawing be written in feet

1 foot = 12 inches

6 foot = x

Cross Multiply

x = 6 × 12 inches

x = 72 inches

Hence, the scale drawing =

Scale drawing : shopping center

1 inch = 72 inches

A bakery in the shopping center is 13 inches in the drawing. How long is the actual bakery?

This is calculated as:

1 inch = 72 inches

13 inches = x inches

Cross Multiply

x = 13 × 72 inches

x = 936 inches

The length of the shopping center = 936 inches

We convert back to feet

= 12 inches = 1foot

936 inches = x

Cross Multiply

12x = 936 × 1

x = 936/12

x = 78 feet

Therefore the length of the actual bakery is 936 inches or 78 feet

7 0

2 years ago

Which of the following is the product of the rational expressions shown below ? (x + 3)/(x + 2) * (x - 3)/(x - 2)

Molodets [167]

Answer:

Option D : $\frac{x^2-9}{x^2-4}$ is the correct answer.

Step-by-step explanation:

Given rational expression is:

$\frac{x+3}{x+2}*\frac{x-3}{x-2}$

In the first step of solving the rational expression, we will multiply the nominators and denominators.

$\frac{(x+3)(x-3)}{(x+2)(x-2)}$

$\frac{x^2-3x+3x-9}{x^2-2x+2x-4}$

Now we will solve the alike terms.

$\frac{x^2-9}{x^2-4}$

The product of rational expression is $\frac{x^2-9}{x^2-4}$

Hence,

Option D : $\frac{x^2-9}{x^2-4}$ is the correct answer.

8 0

2 years ago

Help pls. I need answers quick.

mr Goodwill [35]

-1/2
negative half
yea lol

8 0

2 years ago