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3 years ago

What is the value of f(6) in the function below? fx) = 2x

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

7 0

Answer:

substitute that (6) in X so f(6) = 2(6) which is = 12

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How does finding the square root of a number compare to finding the cube root of a number? Use the number 64 in your explanation

lakkis [162]

In order to find the square root, we must find a number that when multiplied by itself one time, it produces the number under consideration.
In the case of 64, the square root is 8 because 8 multiplied once by itself is 64.

However, when finding the cube root, the root must multiply by itself two times and make the number.
In the case of 64, 4 multiplied by itself two times is 64.

3 0

3 years ago

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1/3 cube root 27 <=w

Rainbow [258]

3³ = 27

∛27 = 3

1/3 of 3 = 1

x $\geq$ 1

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3 years ago

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Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measu

Lera25 [3.4K]

Answer:

$A = 68.8 inches^{2}$

Step-by-step explanation:

Given : Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measure 2in times 3in times 4in.

a = 2

b=3

c=4

To Find : what is the surface area of the box of chocolates?

Solution: The first thing we should know is the area of the triangular base.

Triangular base area:

$A1 =\sqrt{(s * (s-a) * (s-b) * (s-c)) }$

Where, s is the semi-meter of the triangle:

$s =\frac{ (a + b + c) }{ 2}$

a, b, c: sides of the triangle.

Substituting:

s = (2 + 3 + 4) /2=4.5

$A1 = \sqrt{ (4.5 * (4.5-2) * (4.5-3) * (4.5-4))}$

A1 = 2.90

Then, you must know the area of each rectangle associated with each side of the triangular base.

Rectangle area 1: Ar1 = (a) * (l)

Ar1 = (2) * (7)

Ar1 = 14

Rectangular area 2: Ar2 = (b) * (l)

Ar2 = (3) * (7)

Ar2 = 21

Rectangular area 3: Ar3 = (a) * (l)

Ar3 = (4) * (7)

Ar3 = 28

Finally the surface area is: A = Ar1 + Ar2 + Ar3 + 2 * A1

A = (14) + (21) + (28) + 2 * (2.90)

$A = 68.8 inches^{2}$

Hence the surface area of the box of chocolates is

$A = 68.8 inches^{2}$

6 0

3 years ago

Juan starts a new coffee shop. The table shows the coffee sales at his shop for the first 5 days.

Ainat [17]

Answer:

The average between the 2nd and 5th day is 237.50

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3 years ago

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Incline mats, or triangle mats, are offered with different levels of incline to help gymnasts learn basic moves. As the name may

Scorpion4ik [409]

Answer:

The length of the mat is 60 in.

Step-by-step explanation:

Given :

Mats are inclined to form a triangle.

two sides of the mat are right triangles.

Hence the triangle formed is right angled triangle.

Let the length be x.

Now,The height of the mat is 28 inches shorter than the length of the mat.

Height of mat = x - 28

Also, the hypotenuse is 8 inches longer than the length of the mat.

Hypotenuse = x + 8

Hence by using Pythagoras theorem we get ,

$Hypotenuse^2= lenght^2+height^2\\$

$x^2+(x-28)^2=(x+8)^2\\x^2+x^2-56x+784=x^2+16x+64\\x^2-72x+720=0\\x^2-60x-12x+720 = 0\\x(x-60)-12(x-60)=0\\(x-12)(x-60) = 0\\x-12=0\\x=12\\x-60=0\\x=60$

Now we get 2 values of length 12 and 60.

But height is 28 in less than length.

And when we take length value as 12 the height will be negative hence it can't be true.

Hence the Length of mat = 60 in.

8 0

3 years ago