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3 years ago

In the activity, Heavy Flying, we looked at constraints for transporting packages from Careful Calculators and Charlie's

Mathematics

1 answer:

Gala2k [10]3 years ago

5 0

Answer: 500 chicken feed and 200 careful calculators

Step-by-step explanation:

2x+3y=1,600

40x+50y=30,000

those are your first two equations

your first matrix equation for A is 2, 3,40,50 and B is 1,600 and 30,000 when you enter those in your calculator and 500 and 200 should be your result.

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1. Find the sum of the series (IMAGE) . Show your work.

pav-90 [236]

QUESTION 1 ANSWER

The series is

$\sum_{n=1}^{15}{ (2n-1)}$

So the nth term of this sequence is

$U_n=2n-1$

We generate some few terms of the sequence as follows:

When $n=1$ ,

The first term of the sequence becomes,

$U_1=2(1)-1$

$U_1=1$

When $n=2$ ,

$U_2=2(2)-1$

$U_2=3$

When $n=3$ ,

$U_2=2(3)-1$

$U_2=5$

The constant difference is $d=2$ .

The sum of the series is given by,

$S_n=\frac{n}{2}(2a+(n-1)d)$

There are 15 terms in the series, therefore $n=15$

$S_{15}=\frac{15}{2}(2(1)+(15-1)2)$

$S_{15}=\frac{15}{2}(2+14(2))$

$S_{15}=\frac{15}{2}(30)$

$S_{15}=15\times 15$

$S_{15}=225$

ANSWER TO QUESTION 2

The bottom row has $23$ boxes. This means $a=U_1=23$

a) Since each row has 3 fewer boxes $d=-3$ .

The nth row is given by,

$U_n=23+(n-1)\times(-3)$

$U_n=23+-3n+3$

$U_n=23-3n$

The top row is the 6th row, meaning $n=6$ .

$U_6=23-3(6)$

$U_6=23-18$

$U_6=5$

b) The number of boxes in the entire display is given by

$S_n=\frac{n}{2} (a+l)$

Where $a=23$ , the first term(row) and $l=5$ , the last term(row).

Since there are 6 rows,

$S_6=\frac{6}{2} (23+5)$

$S_6=3 (28)$

$S_6=84$

ANSWER TO QUESTION 3

The number of visitors in the first week is $a=5$ .

Since the number of visitors each week is doubled the number of visitors in the subsequent weeks, the sequence is a geometric progression with a common ratio of $r=2$ .

The general term of a geometric sequence is

$U_n=ar^{n-1}$

So in the 8th week, we have

$U_8=5\times 2^{8-1}$

$U_8=5\times 2^{7}$

$U_8=5\times 128$

$U_8=640$

Hence 640 people visited the website in the 8th week

4 0

3 years ago

If the number of bacteria in a colony doubles every 25 hours and there is currently a population of 10,000 bacteria, what will t

MA_775_DIABLO [31]

Answer:

The population of 75 hours from now would be 40,000.

Step-by-step explanation:

The reason for this is because your initial number is 10,000 and when 25 hours pass by, your population would be 20,000. Another 25 hours pass by, and then your population would be 40,000. If you multiply 25 by 3, you will notice 75 hours have just passed, so your answer would be 40,000.

5 0

4 years ago

Maritza is buying wheels for her skateboard shop. She ordered a total of 92 wheels. If wheels come in packages of 4, how many pa

poizon [28]

92/4=23

...........................

4 0

4 years ago

Read 2 more answers

help, will mark brainliest.. DONT ANSWER IF YOU DONT KNOW THE ANSWER THIS AS HAPPENED MULTIPLE TIMES!

Ket [755]

Answer:

the picture is unclear. please give me a more clear picture and i will answer you in comments