All categories

3 years ago

Please help me with this! Picture is provided and only answer is you know it!

Mathematics

1 answer:

Sophie [7]3 years ago

3 0

Answer:

Option A

Step-by-step explanation:

Number of components assembled by the new employee per day,

N(t) = $\frac{50t}{t+4}$

Number of components assembled by the experienced employee per day,

E(t) = $\frac{70t}{t+3}$

Difference in number of components assembled per day by experienced ane new employee

D(t)= E(t) - N(t)

D(t) = $\frac{70t}{t+3}-\frac{50t}{t+4}$

= $\frac{70t(t+4)-50t(t+3)}{(t+3)(t+4)}$

= $\frac{70t^2+280t-50t^2-150t}{(t+3)(t+4)}$

= $\frac{20t^2+130t}{(t+3)(t+4)}$

= $\frac{10t(2t+13)}{(t+4)(t+3)}$

Therefore, Option A will be the answer.

You might be interested in

How many meters below the surface of the water is the ring? LOOK AT THE PICTURE

insens350 [35]

It's exactly 4 meters because the question is asking how far below is it from the surface of the water.

4 0

3 years ago

Function k is a continuous quadratic function that includes the ordered pairs shown in the table .

I am Lyosha [343]

Complete question is;

Function k is a continuous quadratic function that includes the ordered pairs shown in the table. (-1,5), (0,8); (1,9), (2,8); (3,5) (4,0) Over which interval of the domain is the function Increasing?

A (1, ∞)

B. (-∞,1)

C (-∞, ∞)

D. (-∞,9)

Answer:

Option B - (-∞ , 1)

Step-by-step explanation:

From the ordered pairs given, we observe the following:

From (-1, 5) to (0, 8);

In this, 8 is more than 5, thus there is an increase.

From (0, 8) to (1, 9);

In this, 9 is more than 8, thus there is an increase.

From (1,9) to (2, 8);

In this, 8 is less than 9, thus there is a decrease.

Looking at all the ordered pairs, we can see that f(0) = 8 and f(2) = 8.

Thus, we can say that; f(0) = f(2)

This means that our maximum value is likely in the middle of 0 and 2.

Now, from all the ordered pairs, f(1) = 9 is the maximum value of the function.

It now means that when x = 1, the direction of the function changes.

We have seen that at points before x = 1 the function was increasing but after that point the function will begin decrease.

Thus, we can conclude that in all the values that fall in the range of x < 1, the quadratic function will be increasing.

So, the correct answer among the given options is: (-∞ , 1)

3 0

3 years ago

What is the square root function?

Marina86 [1]

Answer:

f(x) = $\sqrt{x}$

Step-by-step explanation:

hope this helped :-)

5 0

3 years ago

A board is 9feet 9 1/2 inches long. Jeff cuts as many pieces with a length of 11 1/4 inches as possible from the board. Assuming

Thepotemich [5.8K]

3/5 of an inch because 9ft=108in and 108/11.25 equals 9.6

7 0

4 years ago

Read 2 more answers

The medicine capsule shown consist of a cylinder with a hemisphere at each end. The total length of the capsule is 15 millimeter

sweet [91]

Answer:

The surface area of capsule is 235.5 mm².

Step-by-step explanation:

Given that,

Diameter = 5 mm

Total length = 15 mm

We need to calculate the radius of each hemisphere

Using formula of radius of hemisphere

$\text{radius of each hemisphere}=\text{radius of cylinder}$

$r=\dfrac{5}{2}$

$r=2.5\ mm$

We need to calculate the length of cylinder

Using formula of length

Length of cylinder = Total length of capsule-radius of left hemisphere- radius of right hemisphere

$\text{length of cylinder}=15-2.5-2.5$

$\text{length of cylinder}=10\ mm$

We need to calculate the surface area of capsule

Using formula of surface area of capsule

$\text{surface area of capsule}=\text{Curved surface area of cylinder}+\text{surface area of left hemisphere}+\text{surface area of right hemisphere}$

$\text{surface area of capsule}=2\pi rl+2\pi r^2+2\pi r^2$

$\text{surface area of capsule}=2\pi rl+4\pi r^2$

Put the value into the formula

$\text{surface area of capsule}=2\times3.14\times2.5\times10+4\times3.14\times(2.5)^2$

$\text{surface area of capsule}=235.5\ mm^2$

Hence, The surface area of capsule is 235.5 mm².

4 0

3 years ago