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2 years ago

The functions f and g are defined as follows.

Mathematics

1 answer:

monitta2 years ago

7 0

Answer:

f(-3)= -48 g(6)= -8

Step-by-step explanation:

the the numbers into the corresponding functions and simplfy following the order of operations which would look like this:

f(-3)=2(-3)^3 + 6

=2(-27)+6

=-54+6

f(-3)=-48

and

g(6)= -2(6)+4

= -12+4

g(6)= -8

Hope this helps! :)

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Answer:

22 qt

Step-by-step explanation:

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3 years ago

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Square pyramid is made up of a base with a side length of 10 inches and faces that are triangles with a height of 12 inches what

Nataly [62]

The surface area of the square pyramid is 360 in²

Explanation:

Given that the side length is 10 inches.

The height of the pyramid is 12 inches.

We need to determine the surface area of the pyramid.

The surface area of the pyramid is given by

$SA=s^2+2sl$

Where s is the side length and l is the slant height.

The slant height can be determined using the formula,

$l=\sqrt{h^2+b^2}$

where h = 12 and $b=\frac{s}{2} =5$

Substituting these values in the formula, we get,

$l=\sqrt{12^2+5^2}$

$=\sqrt{144+25}$

$l=\sqrt{169}$

$l=13$

Thus, the slant height is $l=13$

Now, we shall find the surface area of the pyramid.

Substituting $l=13$ and $s=10$ in the formula $SA=s^2+2sl$ , we get,

$SA=10^2+2(10)(13)$

$=100+260$

$SA=360 \ in^2$

Thus, the surface area of the square pyramid is 360 in²

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4 years ago

Alyssa is 12 years old. If Greg is 5 years younger than twice Alyssa's age, how old is Greg?

user100 [1]

Simply double 12 (times by 2), then subtract 5 from your product.

12 x 2 = 24
24 - 5 = 19
Greg is 19 yrs old

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4 years ago

What is the radius of a sphere with a volume of 41572 cm', to the nearest tenth of a centimeter?

Ksenya-84 [330]

Answer:

21.5cm

Step-by-step explanation:

41,572=4/3*pi*r^3

Work backwards to solve for r

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3 years ago

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Drag the tiles to the correct boxes to complete the pairs.

Tatiana [17]

Answer:

a 90° clockwise rotation about the origin

a 180° rotation about the origin

a 90° counterclockwise rotation about the origin

Step-by-step explanation:

Transformations are done on a Cartesian Plane, which is the grid with four quadrants. (See picture) Each quadrant is 90°, so two quadrants is 180°.

When you rotate counterclockwise it is like in the picture. When you want to rotate clockwise, it's the other way.

When we rotate 180°, it does not matter if it is counterclockwise or clockwise because the result is the same (both move two quadrants).

We can imagine an example to help us solve the problem. Let's say we are rotating an object starting in first quadrant. (Upper right quadrant).

Find out which quadrant the object ends up with each instruction:

FROM THE PICTURE:

"a 90° counterclockwise rotation about the origin (Q2) and then a 180° rotation about the origin"

End: Quadrant 4

"a reflection across the x-axis (Q4) and then a reflection across the y-axis"

End: Quadrant 3

"a 90° clockwise rotation about the origin (Q4) and then a rotation 180° about the origin"

End: Quadrant 2

FROM YOUR LIST:

"a 90° counterclockwise rotation about the origin " Quadrant 2

"a 180° rotation about the origin " Quadrant 3

"a 90° clockwise rotation about the origin" Quadrant 4

Match each ending quadrant from your list with the same ending quadrant from the picture.

The order that you should put your list into the boxes is:

a 90° clockwise rotation about the origin

a 180° rotation about the origin

a 90° counterclockwise rotation about the origin

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