Jack collected 31.1 pounds of cans to recycle and plans to collect 5.9 more pounds each week. Write an equation in slope-intercept form where x represents the number of weeks Jack has been recycling cans, and y represents the total amount recycled.

Line AB is parallel to CD, for instance, as indicated by the formula AB ll CD.

How do parallel lines work?

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Answer:

1/5x

Step-by-step explanation:

1/5x

Answer:

Step-by-step explanation:

Exchange rates are the rates at which one currency can be exchanged for another currency. They represent the value of one currency relative to another currency.

Answer:

13x

Step-by-step explanation:

You add them all up since they're like terms and all have x

Answer:

$1307.69

Step-by-step explanation:

Let the original investment be x.

Note that a 30% increase in a value is equal to multiplying a value by 130% and a withdrawal is to take out money. The final amount is $1500. Let’s write the equation with the information we have.

Equation:

130%x - 200 = 1500

(130/100)x = 1700

x = 1700(100/130) = $1307.69

I hope this helps! :)

A n B = { 1 , 0 , - 1 }

A n C = { - 1 , 0 , 2 , 3 }

_________________________________

A n ( B U C ) =

( A n B ) U ( A n C ) =

{ - 1 , 0 , 1 } U { - 1 , 0 , 2 , 3 } =

{ - 1 , 0 , 1 , 2 , 3 }

The common factor is x ^ 3

So that gives you x ^ 3 = (4+ 7  / x + 4 / x ^ 2 + 7 / x ^ 3)

Because we therefore simplify x ^ 3 = (4 + (7x ^ 2 / x ^ 3) + (4x / x ^ 3) + 7 / x ^ 3)

Answer:

It would be proportional.

Step-by-step explanation:

Every 2 numbers on the X value, The y vaulue goes up by 20. It is the same number that it is inreasing by each time.

Answer:

x = -3, 2

Step-by-step explanation:

\(log_6⁡(x+1)+log_6⁡x=1 \\ \\ log_6⁡ \{x(x+1) \} = 1 \\ \\ x(x + 1) = {6}^{1} \\ \\ {x}^{2} + x = 6 \\ \\ {x}^{2} + x - 6 = 0 \\ \\ {x}^{2} + 3x - 2x - 6 = 0 \\ \\ x(x + 3) - 2(x + 3) = 0 \\ \\ (x + 3)(x - 2) = 0 \\ \\ x + 3 = 0 \: \: or \: \: x - 2 = 0 \\ \\ x = - 3 \: \: or \: \: x = 2 \\ \\ x = - 3, \: \: 2\)

Answer:

12½% 0.125 1/8

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

7/.05 -140

Answer:

20

Step-by-step explanation:

28 + 8 = 36

36 - 13 = 23

23 - 3 = 20

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

hhhhhhh

Step-by-step explanation:

Answer:

  f(x) = 120(23/12)^(x-6)

Step-by-step explanation:

One way to write the model is ...

  f(x) = f(x1)·(f(x2)/f(x1))^((x -x1)/(x2-x1))

Filling in the given numbers, this is ...

  f(x) = 120·(230/120)^((x-6)/(7-6))

  f(x) = 120(23/12)^(x-6)

__

Comment on this model

This could be written in the form ...

  f(x) = a·e^(bx)

but the constants "a" and "b" would be approximations to their irrational values. We have elected to write the model with exact values in a form that reproduces the given two points exactly.

Answer:

-10

Step-by-step explanation:

5 - 8 is -3, -3 x 4 is -12, + 2 is -10

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

72w+36

Step-by-step explanation:

The inequality representing the amount Jeremiah spends on dinner daily is x ≥ $14.50. Two examples of amounts Jeremiah might spend are $16.75 and $22.00.

1. To represent the amount Jeremiah spends on dinner daily, we can use the inequality symbol "≥" (greater than or equal to) since it says "at least." Let's use the variable x to represent the amount.

2. The inequality representing the amount Jeremiah spends is x ≥ $14.50.

3. Example 1: Jeremiah might spend $16.75 on dinner, which satisfies the inequality since $16.75 is greater than $14.50.

4. Example 2: Jeremiah might spend $22.00 on dinner, which also satisfies the inequality as $22.00 is greater than $14.50.

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Answer:

(2a^3a^4)^5 simplifies to 32a^35.

Step-by-step explanation:

To simplify (2a^3a^4)^5, we can use the properties of exponents which states that when we raise a power to another power, we can multiply the exponents. Therefore, we can rewrite the expression as:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5

Next, we can simplify the expression inside the parentheses by multiplying the exponents:

a^3a^4 = a^(3+4) = a^7

Substituting this into our expression, we get:

(2a^3a^4)^5 = 2^5 * (a^3a^4)^5 = 2^5 * a^35

Finally, we can simplify this expression by using the property of exponents that states that when we multiply two powers with the same base, we can add their exponents. Therefore, we can rewrite the expression as:

2^5 * a^35 = 32a^35

Therefore, (2a^3a^4)^5 simplifies to 32a^35.

Answer:

f(x)= 2x(x^3-6x^2+13)

Answer:

22:2  33:3 44:4 ...

Step-by-step explanation:

just multiply numbers by natural numbers

Answer: 22:2

Step-by-step explanation: hope its correct

multiply to see what numbers they have in common

(a) 58 = 2(w + 5 + w)

(b)  I. The width of the rectangle is 12 cm.

II. The length of the rectangle is 17 cm.

III. The area of the rectangle is 204 cm².

Let's solve the problem step by step:

(a) To write an equation for the perimeter of the rectangle, we know that the perimeter is the sum of all four sides. Let's denote the width of the rectangle as "w" (in cm). Given that the length is 5 cm more than the width, the length would be "w + 5" (in cm). The formula for the perimeter is:

Perimeter = 2(length + width)

Substituting the values, we have:

58 = 2(w + 5 + w)

Simplifying the equation, we get:

58 = 2(2w + 5)

(b) Now let's solve for the width and length of the rectangle:

I. To find the width, we solve the equation:

58 = 2(2w + 5)

Dividing both sides by 2, we get:

29 = 2w + 5

Subtracting 5 from both sides, we have:

24 = 2w

Dividing both sides by 2, we find:

w = 12 cm

Therefore, the width of the rectangle is 12 cm.

II. To find the length, we substitute the value of the width into the equation:

Length = w + 5 = 12 + 5 = 17 cm

Therefore, the length of the rectangle is 17 cm.

III. The area of the rectangle can be calculated using the formula:

Area = length × width

Substituting the values, we have:

Area = 17 cm × 12 cm = 204 cm²

Therefore, the area of the rectangle is 204 cm².

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a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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Answer:

427

Step-by-step explanation:

first you have to find the difference between -13 and -8 so we do -13 minus -8 which gives us -13 +8 which is -5. so -13+5=-8 then we try plugging in 5 to the next two numbers -8+5=-3 so the pattern is +5 so now we can do 5*88=440 so now we do -13+440=427