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3 years ago

13 ≤ 4n n = 3 True or false ? ( show work )

Mathematics

1 answer:

yaroslaw [1]3 years ago

5 0

Answer:

False

Step-by-step explanation:

13 ≤ 4n if n = 3

13 ≤ 12

Is this true?

First of all this symbol (≤) means

Less than
Equal to

Is 13 less than 12?

Is 13 equal to 12?

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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X = 1 + root 2 , find the value of (x - 1/x )^3

steposvetlana [31]

Answer:

$(\sqrt{2})^3$

Step-by-step explanation:

Given the expression

$(x - \frac{1}{x} )^3$

Simplify

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

Given that x = 1+√2

Substitute

$(\frac{(1+\sqrt{2} )^2-(1+\sqrt{2} )}{1+\sqrt{2} } )^3\\=( \frac{1+2\sqrt{2} +2 - 1 - \sqrt{2}}{1+\sqrt{2}} )^3\\= (\frac{\sqrt{2}+2}{1+\sqrt{2}})^3 \\Rationalize\\= (\frac{\sqrt{2}-2+2-2\sqrt{2}}{1-2})^3 \\=( \frac{-\sqrt{2}}{-1})^3 \\= (\sqrt{2})^3\\ \\$

7 0

3 years ago

The nutty professor sells cashews for 7.20 per pound snd brazil nuts flr 4.00 per pound. How much of each type should be used to

lutik1710 [3]

Answer:

19.01 pound of cashews and 16.99 pounds of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.

Step-by-step explanation:

Given:

The nutty professor sells cashews for 7.20 per pound and brazil nuts for 4.00 per pound.

Now, to find each type should be used to make a 36 pound mixture that sells for 5.69 per pound.

Let the quantity of cashews be $x.$

Let the quantity of brazil nuts be $y.$

So, total pound of mixture of nuts:

$x+y=36\\y=36-x\ \ \ .....(1)$

Now, the total price of mixture per pound:

$7.20(x)+4.00(y)=5.69(36)$

$7.2x+4y=204.84$

Substituting the value of $y$ from equation (1) we get:

$7.2x+4(36-x)=204.84$

$7.2x+144-4x=204.84$

$3.2x+144=204.84$

Subtracting both sides by 144 we get:

$3.2x=60.84$

Dividing both sides by 3.2 we get:

$x=19.01.$

The quantity of cashews = 19.01 pound.

Now, substituting the value of $x$ in equation (1) we get:

$y=36-x\\y=36-19.01\\y=16.99.$

The quantity of brazil nuts = 16.99 pounds.

Therefore, 19.01 pound of cashews and 16.99 pounds of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.

7 0

4 years ago

Which is a reasonable estimate of the constant of variation?

Gekata [30.6K]

Answer: B 0.5 kWh per day

Step-by-step explanation:

Since the graph represents the function where electricity usage in kilowatts per hour of a clock radio varies directly with the number of days it is plugged into the wall current

The constant of variations will be the gradient ( slope ) of the graph.

Gradient = (Y2 - Y1)/(X2 - X1)

Where X1 = 2, X2 = 6, Y1 = 0.5, Y2 = 1.5

Substitute all the values into the formula

Gradient = (1.5 - 0.5)/( 6 - 4 )

Gradient = 1/2

Gradient = 0.5.

Therefore, a reasonable estimate of the constant of variation is 0.5 kWh per day

6 0

3 years ago

Quadrilateral A has side lengths 6, 9, 9, and 12. Quadrilateral B is a scaled copy of A with its shortest side of length 2. What

dsp73

Answer:

Step-by-step explanation:

If the Quadrilateral A has side lengths 6, 9, 9, and 12 respectively and Quadrilateral B is a scaled copy of A with its shortest side of length 2, then to determine the scale used, we will find the ratio of the shortest side of quadrilateral A to that of quadrilateral B as shown;

ratio of shortest side

B:A = 2:6 = 1:3

This means that the quadrilateral B is 3 times smaller than A.

To find the perimeter of quadrilateral B, we will add all the side length of A and divide by 3 to get the perimeter of quadrilateral A by 3 as shown;

Perimeter of quadrilateral B = (Perimeter of quadrilateral A)/3

Perimeter of quadrilateral A = 6+9+9+12

Perimeter of quadrilateral A = 36

Perimeter of quadrilateral B = 36/3

Perimeter of quadrilateral B = 12

Hence the perimeter of quadrilateral B is 12

8 0

3 years ago

PLEASE HELP !! WILL MARK THE BRAINLIEST Solve the system y = -x + 7 and y = 0.5(x - 3)2

Leno4ka [110]

Y = -X + 7
Y = .5(X-3)2

Alright check it out. Substitute the Y in the second equation for the first equation so...

-X + 7 = .5(X-3)2

After this, you have to get rid of the .5 and the 2 which is easy peasy because they just cancel out. If you were to multiply by half and then multiply by 2 then you'd be back to where you started. So...

-X + 7 = X - 3

Move the X to combine them on one side, I moved the -X to the opposite side by adding X to each side so you get...

7 = 2X - 3

You then add 3 to both side so...

10 = 2X

Divide by 2

X = 5

So...

Y = -5 + 7
Y = 2

Y = .5(5-3)2
Cancel out the .5 and the 2
Y = 5-3
Y = 2

(5,2) is your answer

6 0

3 years ago