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2 years ago

Need help on C and D, please help.

Mathematics

1 answer:

Mekhanik [1.2K]2 years ago

6 0

C. 1/5,2/5,3/5,4/5 and 1 since all will be on the same mark as 2/10,4/10,6/10,8/10 and 10/10.
d. there would be 10/10 for every 0 to 2.

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PLEASE HURRY

faust18 [17]

Step-by-step explanation:

width= w

length = l=w+5

Area = l * w

104 =(w+5) * w

w2 +5w -104 =0

(w+13)(w-8)=0

w=13 and w=8

so width =8

length=13

3 0

2 years ago

What is the slope of the line that passes through the points (-4,-2) and (-4,-22)? Write your answer in simplest form.

Anuta_ua [19.1K]

Answer:

$20x - 4 = 0$

Step-by-step explanation:

$\frac{y - y1 }{y2 - y1} = \frac{x - x1}{x2 - x1} \\ x1 = - 4 \\ y1 = - 2 \\ x2 = - 4 \\ y2 = - 22$

$x2 = - 4 \\ y2 = - 22$

8 0

2 years ago

Help please you don’t know how much this means to me

ICE Princess25 [194]

<h2>Problem 6:</h2><h2>a)</h2>

$a(0) = 1 \: \: \: \: \: \: b(0) = 2 \: \: \: \: \: c(0) = 3 \\ a(1) = b(0) + c(0) = 2 + 3 = 5 \\ b(1) = a(0) + c(0) = 1 + 3 = 4 \\ c(1) = a(0) + b(0) = 1 + 2 = 3 \\ \\ a(2) = b(1) + c(1) = 4 + 3 = 7 \\ b(2) = a(1) + c(1) = 5 + 3 = 8 \\ c(2) = a(1) + b(1) = 5 + 4 = 9$

$a(3) = b(2) + c(2) = 8 + 9 = 17\\ b(3) = a(2) + c(2) =7 + 9 = 16 \\ c(3) = a(2) + b(2) = 7 + 8 = 15 \\ \\ a(4) = b(3) + c(3) = 16 + 15 = 31 \\ b(4) = a(3) + c(3) = 17 + 15 = 32 \\ c(4) = a(3) + b(3) = 17 + 16 = 33$

$a(5) = 32 + 33 = 65 \\ b(5) = 31 + 33 = 64 \\ c(5) =31 + 32 = 63 \\ \\ a(6) = 64 + 63 = 127 \\ b(6) = 65 + 63 = 128 \\ c(6) = 65 + 64 = 129 \\$

$a(7) = 128 + 129 = 257 \\ b(7) = 127 + 129 = 256 \\c (7) = 127 + 128 = 255 \\ \\ a(8) = 256 + 255 = 511 \\ b(8) = 257 + 255 = 512 \\ c(8) = 257 + 256 = 513$

$a(9) = 512 + 513 = 1025 \\ b(9) = 511 + 513 = 1024 \\ c(9) = 511 + 512 = 1023 \\ \\ a(10) = 1024 + 1023 = 2047 \\ b(10) = 1025 + 1023 = 2048 \\ c(10) = 1025 + 1024 = 2049$

$a(n) + b(n) + c(n) = \\ 2(a(n - 1) + b(n - 1) + c(n - 1)) \\ 6 \times 2 {}^{n }$

$6 \times 2 {}^{n} > 100 \: 000 \\ 2 {}^{n} > \frac{100 \: 000}{6} \\ n > log {}^{2} ( \frac{100 \: 000}{6} ) \\ n > 14.02468 \\ n = 15$

<h2 />

5 0

1 year ago

#2 <br> Are the following triangles similar? <br> Please help!!

gladu [14]

Answer:

Yes

Because

$\frac{pn}{kr} = \frac{pt}{kg} = \frac{tn}{gr} = \frac{1}{2}$

Also all angles are equal

7 0

2 years ago

Read 2 more answers

Students are going through a three-step process to obtain their ID cards. Each student will spend 2 minutes at the registration

GREYUIT [131]

Answer:

Time taken to process 20 students is 100 minutes.

Step-by-step explanation:

Given that:

Students are going through a three-step process to obtain their ID cards.

Let Have a table below illustrating what the question means:

Unit Number of Number of

<u> servers minutes spent</u>

Registration 1 2

desk

Cashier 3 10

ID processing 4 20

<u>station </u>

Demand Rate = 0.5 student per minute

To calculate how long it take to process 20 students assuming the system is full; we need to run through the following process:

The Capacity of each of the server at three-processes is calculated as;

Capacity = Number of students served per minute

At the Registration desk

Number of minutes spent to serve 1 student = 2 minutes

Number of servers to be = 1

Therefore, the Capacity= $\frac{1}{2}$

= 0.5 students per minute

At the Cashier Unit

Number of minutes spent to serve 1 student = 10 minutes

and we have number of servers to be = 3

Thus, the Capacity = $\frac{3}{10}$

= 0.3 students per minute

Over to the ID processing station

Number of minutes spent to serve 1 student = 20 minutes

Number of servers = 4

The capacity= $\frac{4}{20}$

= 0.2 students per minute

In the three-step process, the bottleneck process is the ID processing stations and this process also have the highest time to serve 1 student.

As such, the process capacity is equivalent to the bottleneck process

Process Capacity = 0.2 students per minute

As we know that our demand rate = 0.5 students per minute

Since, the demand rate is higher than the Process capacity, the number of students served per minute will still be:

Number of students served per minute = 0.2

Time taken to serve 1 student = 1 / 0.2 = 5 minutes

Time to process 20 students = 5 × 20 =100 minutes.

3 0

3 years ago