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Igoryamba
3 years ago
13

Assume f(x)=-2x+8 and g(x)=3x. what is the value of (g o f)(3)

Mathematics
1 answer:
Olin [163]3 years ago
7 0

Answer:

6

Step-by-step explanation:

(g o f)(3) = g(f(3))

We can find f(3) using its formula with x=3:

f(3) = -2·3 +8 = -6 +8 = 2

Now, we can find g(2) using its formula with x=2:

g(2) = 3·2 = 6

So, the composition value is ...

(g o f)(3) = 6

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(b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per
daser333 [38]

The question is incomplete. Below is the complete question:

A pill has the shape of a cylinder with a hemisphere at each end. The height of the cylindrical portion 11

mm and the overall height is 18 mm.

(a) Find the volume of the pill in cubic millimeters. Round to the nearest cubic

millimeter.

(b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per

cubic millimeter? Round to the nearest tenth of a cubic millimeter.

Answer:

a. 603 cubic millimetre

b. 1.7 mg/mm^3

Step-by-step explanation:

The since the pill has the shape of a cylinder and 2 hemispheres at both ends of the cylinder, if we are to calculate the volume, we will need the formula for calculating the volume of a cylinder and the volume of a hemisphere:

a. The volume of a cylinder = π×r^2×h and the volume of a hemisphere = 2×π×r^3.

The total height of the pill is 18mm but that of the cylinder specifically is 11cm, so 18 - 11 = 7mm.

This becomes the combined radius of the two hemispheres. We will now split it into 2:

7/2 = 3.5mm

This becomes the radius of each of the 2 hemispheres and will be used for calculating their respective volumes. The cylinder too will share same radius with the spheres (3.5mm). Let us take π as 3.14

Volume of the pill is then:

V =[2× (2/3 × π×r^3)] + π×r^2×h

V = [2×[(2/3) × 3.14 × 3.5^3]] + 3.14 × (3.5^2) × 11

[2 × (89.752)] + 423.115

179.504 + 423.115

= 602.619

= 603mm^3 (nearest cubic millimetre)

b. In order to find out how much vitamin C the pill will contain per cubic millimetre if it is to contain 1000mg of vitamin C, we will simply divide 1,000mg by the already calculated volume:

= 1000/63

= 1.658

= 1.7 mg/mm^3 (nearest tenth)

4 0
3 years ago
Which expression has the same value as <br> 5<br> +<br> (<br> −<br> 4<br> )<br> 5+(−4)?
stellarik [79]

Answer: 5+-20-4 or -24+5 or -15-4

Step-by-step explanation: (5)+(−4)(5)+(−4) 5+-20-4 -24+5 or -15-4 -19

6 0
2 years ago
The shapes shown are stored into groups according to the number of line of symmery move the rest of the shapes to the correct gr
VARVARA [1.3K]

Answer:

can you show the shapes

Step-by-step explanation:

8 0
3 years ago
You use a wedge that has a width of 2 cm and a slope length of 5.5 cm. What is the mechanical advantage of this wedge?
PIT_PIT [208]

Answer:

Option B. 2.75

Step-by-step explanation:

It has been given in the question that a wedge has a width of 2 cm and a slope of 5.5 cm.We have to calculate the mechanical advantage of the given wedge.

We know the formula to calculate the mechanical advantage of the wedge

Mechanical advantage = Length of slope/Thickness of the widest end

                                      = 5.5÷2 = 2.75

Therefore the answer is option B. 2.75


6 0
3 years ago
Read 2 more answers
On a 40‐point test, Steve received an 80%. How many points did he receive on the test?
jarptica [38.1K]

Answer:

Steve got 32 points

Step-by-step explanation:

Take the total score and multiply by the percentage received

40 * 80%

Change to decimal form

40 * .80

32

Steve got 32 points

7 0
3 years ago
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