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3 years ago

True or False 3 is a factor of n(n + 2)(n − 1) by mathematical induction. Explain why.

Mathematics

1 answer:

Crazy boy [7]3 years ago

8 0

Answer:

false

Step-by-step explanation:

this beacuse when is times with the base that shows the product thats the factor

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Mrs Alivia’s bathroom is in the shape of a rectangle with a width of 6 feet. Her kitchen is in the shape of a rectangle with a w

Vedmedyk [2.9K]

Answer:

1. The length of the bathroom is equal to its width. FALSE

2. Equation 2(x+6)=29 can be used to find the length of the bathroom, x.

TRUE

3. The legend of the bathroom is 11.5 feet. FALSE

4. The equation 2 x+6=29 can be used to find the length of bathroom, x.

FALSE

5. The length of the bathroom is 8.5 feet. TRUE

Step-by-step explanation:

Here, given:

The width of the bathroom = 6 feet

The width of the kitchen = 10.75 ft

The perimeter of the bathroom = 29 feet

Let us assume the length of the bathroom = k units

PERIMETER OF A RECTANGLE = 2 ( LENGTH + WIDTH)

Now, for the Mrs Avila's bathroom

29 feet = 2 (k + 6)

⇒ 29 = 2k + 12

or, 2 k = 29 - 12 = 17

⇒ k = 17/2 = 8.5 feet

So, the length of the bathroom = 8.5 units

Now, let us consider the given statements:

1. The length of the bathroom is equal to its width. FALSE

As here, Length= 8.5 units and width = 6 units

2. Equation 2(x+6)=29 can be used to find the length of the bathroom, x.

TRUE

3. The legend of the bathroom is 11.5 feet.

FALSE, the length of the bathroom is 8.5 units.

4. The equation 2 x+6=29 can be used to find the length of bathroom, x.

FALSE, the correct equation that can be used is 2x + 12 = 29

5. The length of the bathroom is 8.5 feet.

TRUE

5 0

3 years ago

Will mark brainliest, please answer:)

yanalaym [24]

Check the picture below.

7 0

3 years ago

A rectangle has a width of 5 yd and a length of 9 yd.

Yuri [45]

Answer:

Option The area is increased by a factor of $16$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to scale factor squared

Let

z-----> the scale factor

x------> the area of the dilated rectangle

y------> the area of the original rectangle

$z^{2}=\frac{x}{y}$

we have

$z=4$ ------> is an enlargement

substitute

$4^{2}=\frac{x}{y}$

$16=\frac{x}{y}$

$x=16y$

therefore

The area is increased by a factor of $16$

8 0

3 years ago

Read 2 more answers

Which expression shows 36 + 63 as the product of their greatest common factor and the sum of two whole numbers with no common fa

jarptica [38.1K]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~

The first thing we know is that all the answers equal 99, so we cannot cross any answer off, however, what we want to know is what answer (after distribution) looks like 36 + 63...

A.) 11(3 + 6) > 33 + 66

Does 33+66 look like 36+63?

B.) 9(4 + 7) > 36 + 63

Does 36+63 look like 36+63?

YES

C.) 11(4 + 5) > 44 + 55

Does 44+55 look like 36+63?

D.) 3(15 + 18) > 45 + 54

Does 45+54 look like 36+63?

So...

The answer is: B.) 9(4 + 7)

4 0

3 years ago

The cost to a rent paddle boat at the county park is $8 per hour if x represent the number off hours the boat is rented and for

bazaltina [42]

Answer:

10+8x=y

Step-by-step explanation:

The 10$ is added on because it's a one time exchange and the 8 is multiplied by the x because for every hour you add 8$ to the price and y is the total price at the end depending on x.

4 0

2 years ago