A population of flies grows according to the function p(x) = 6(3)x, where x is measured in weeks. A local spider has set up shop and consumes flies according to the function s(x) = 4x + 1. What is the population of flies after two weeks with the introduced spider?

Answers

Answer 1
Answer:

Answer:

The correct answer is 45


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Can you help me please i don't understand

The triangles are similar. If QR = 9, QP = 6, and TU = 19, find TS. Round to the nearest tenth.

Answers

QR=9
QP=6
TU=19
TS=?
Okay so the triangles are kindred, now the equation can be made
9/16=6/x
So now we are going to cross multiply
9x=114
Now divide both sides by
912 2/3
Your answer is:
TS=12.6

Is (2,4) a solution of the equation y=x-2

Answers

4 = 2 - 2
4 = 0
Is it a solution for y = x - 2?
No.

Final answer:

To determine if a point is a solution to an equation, substitute the values of the coordinates into the equation. The point (2,4) was found to not be a solution to the equation y=x-2.

Explanation:

To test if the point (2,4) is a solution to the equation y=x-2, we replace the 'x' with '2' and 'y' with '4' in the equation.

So if y is indeed equal to x - 2, then, replacing x and y should leave you with a true statement. That will be 4 = 2 - 2. But this results in, 4 = 0 which is not true.

So, (2,4) is not a solution to the equation y=x-2.

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A furniture company makes large and small chairs. A small chair takes 30 minutes of machine time and 75 minutes of labor to build. A large chair takes 40 minutes of machine time and 80 minutes of labor to build. The company has 57 hours of labor time and 26 hours of machine time available each day. How many of each type of chair is built in a day?

Answers

Let the number of large chairs be x and small chairs be y
40x + 30y = 26 x 60 = 1,560 . . . . (1)
80x + 75y = 57 x 60 = 3,420 . . . . (2)

(1) x 2 => 80x + 60y = 3,120 . . . . (3)

(2) - (3) => 15y = 300 => y = 300/15 = 20

From (2), 80x + 75(20) = 3,420 => 80x + 1,500 = 3,420 => 80x = 3,420 - 1,500 = 1,920 => x = 1,920/80 = 24

Therefore, the company should produce 24 large chairs and 20 small chairs.

Help please!! Arithmetic Sequences4,4.1,4.2,4.3,4.4
Common Difference: d=
what is the common difference?

Answers

The common difference (d) of  Arithmetic Sequences  4,4.1,4.2,4.3,4.4  is 0.1 .

What is Arithmetic Sequence ?

Arithmetic Sequence is also known as arithmetic progression and is a sequence of numbers in which the difference between the consecutive terms is constant.

What is common difference ?

Common difference is the difference between two consecutive terms of an arithmetic progression.

We have arithmetic progression,

4,4.1,4.2,4.3,4.4  

Here,

a_(1) =4

a_(2) =4.1

a_(3) =4.2

a_(4) =4.3

a_(5) =4.4

And,

Common Difference (d)=a_(2) -a_(1) =a_(3) -a_(2) =a_(4)-a_(3)

So,

Common Difference (d)= 4.1-4

                                       =0.1

So, Common Difference (d) is    0.1 which is the difference of consecutive terms of Arithmetic Sequences.

Hence, we can say that the common difference (d) of  Arithmetic Sequences  4,4.1,4.2,4.3,4.4  is 0.1 .

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Answer:

0.1 is the answer...............

5x+60° what is the measurement of this angle.​

Answers

Answer:

x=6, 90 degree angle total?

Step-by-step explanation:

Hopefully this is a 90 degree angle, 90-60=30

30/5=6

x=6

Factor this expression. Check by multiplying factors. 3ab+a+3b^2+b
whats the answer

Answers

The solution to the problem is as follows:

you have"a" as common so, you can write it as: a(3b+1) +3b^2 + b. from the remaining two terms, you have b common, so write it as a(3b+1) +b(3b+1).

This gives you (a+b)(3b+1)

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