2. The graph shows the percentage of garbage that was recycled between 1991 and 2013.
a. When was it increasing?
b. When was it decreasing?
c. Tell the story of the change in the percentage of garbage recycled in the US over this time period.
​

Answer:

Step-by-step explanation:

19.8 miles per gallon

We would be taking the unit of the odometer to be in miles since it was not stated.

We need to find the difference in the odometer as this will give us the distance covered between them

Distance = 25,214.7 miles - 24,848.4 miles

Distance = 366.3 miles

To find the miles per gallons, we would divide the distance by the number of gallons to fill the tank

number of gallons = 18.5 gal

= 366.3 miles/ 18.5 gal = 19.8 miles per gallon

The van got 19.8 miles per gallon

Answer:

A. 19.1

the total measure of a triangle is 180°

118.6+42.3+x=180

160.9+x=180

x=180-160.9

x=19.1°

Answer:

Step-by-step explanation:

The reasons for each statement are inside the parentheses

1. <1 and <2 are complementary (given)

2. m<1 + m<2 = 90° (definition of complementary angles)

3. m<2 = 74° (given)

4. m<1 + 74° = 90° (Substitution)

5. m<1 = 16° (Subtraction property of equality)

This is gotten by subtracting 74° from both sides as follows:

m<1 + 74° - 74° = 90° - 74°

m<1 = 16°

Answer:

Linear Function

Step-by-step explanation:

I just took the test and got it right.

The value of the sets are A ∩ ∅  = ∅ and A' ∪ U  = {f, g, h, p, q, r}.

Given: U = {f, g, h, p, q, r} and A = {g, p, r}

We are to find: (a)A ∩ ∅  and (b) A' ∪ U

(a) A ∩ ∅  

The symbol ∩ means intersection. This tells us what sets have in common. Also, the symbol ∅ means an empty set or null. That is a set that does not have any element

The intersection of a set with the empty set is the null set. Thus:

A ∩ ∅  = ∅

(b) A' ∪ U

The set U is called the universal set

A' means elements not in set A but in set U

The symbol ∪ means union, A' ∪ U will give a list of elements in A' and U combined without repetition. Thus:

A' ∪ U = {f, h, q} ∪  {f, g, h, p, q, r}  = {f, g, h, p, q, r}

Therefore, A ∩ ∅  = ∅ and A' ∪ U  = {f, g, h, p, q, r}. They should be entered into the boxes accordingly

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Step-by-step explanation:

B. not a rational number

The coordinates of one of the points in Carlos' pattern would be (2, 3).

To determine the coordinates of the points in Carlos' pattern, we can assign the term number as the x-coordinate and the corresponding term value as the y-coordinate. Let's go through each term:

Term 1: 1

The first term is 1. So, the coordinate for this term is (1, 1).

Term 2: 3

The second term is obtained by adding 2 to the previous term. The previous term had the coordinate (1, 1). Therefore, the coordinate for this term is (2, 3).

Term 3: 5

The third term is obtained by adding 2 to the previous term. The previous term had the coordinate (2, 3). Therefore, the coordinate for this term is (3, 5).

Term 4: 7

The fourth term is obtained by adding 2 to the previous term. The previous term had the coordinate (3, 5). Therefore, the coordinate for this term is (4, 7).

From the given options, we can see that the coordinates (2, 3) match one of the points in Carlos' pattern. Therefore, the correct answer is B) (2, 3).

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The side on the figure 2 that corresponds to the side \(\overline{EA}\) in figure 1, where figure 1 and figure 2 are similar figures is the side \(\overline{JK}\)

Similar figures are figures that have the same shape but their sides may differ in lengths.

The transformation of figure 1 to obtain figure 2 is the application of a scale factor, which is a dilation transformation.

Therefore, figure 2 is a dilation of figure 1, and figure 1 and 2 are similar figures

The location of the corresponding angles based on the corresponding sides indicates;

\(\overline{AB}\) corresponds to \(\overline{KL}\)

\(\overline{BC}\) corresponds to \(\overline{LH}\)

\(\overline{CD}\) corresponds to \(\overline{HI}\)

\(\overline{DE}\) corresponds to \(\overline{IJ}\)

\(\overline{EA}\) corresponds to \(\overline{JK}\)

The side in figure 2 that corresponds to side \(\overline{EA}\) is \(\overline{JK}\)

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Answer:

Hey Mate...

Step-by-step explanation:

All that the slope-intercept form (the equation to describe linear equations) is, is an equation (y=mx+b) where m (the number that multiples x) is the slope and b (the number that is not multiplying a variable on the right-hand side of the equation) is the y-intercept.

Answer:

Y intercepts: (0, 3)
X Intercepts: (-1, 0), (3, 0)

Step-by-step explanation:

The y-intercepts are the points of the proabola that cross the y-axis and the x-intercepts are the points that cross the x-axis. Hope this helps!

The value of -3√5 as the opposite of the square root is -75.

What in mathematics is a square root?

The factor we can multiply by itself to obtain a given number is the number's square root.

               Square root is represented by the symbol sqrt, which stands for square root of, end square root. Squaring an integer is the reverse of finding its square root.

-3√5

The opposite of the square root is the square, so,

-3√5 = -3 × 5²

-3√5 = - 3 × 25

-3√5 = - 75

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Answer: 1134 inches cubed

The probability that either event will occur is 7/25

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 which is equivalent to 100% in percentage.

Probability = sample space /Total outcome

P(A or B) = P(A) +P(B) -P(A and B)

The total element = 25+5+15+5 = 50

therefore total outcome = 50

P(A) = 25/50

P(B) = 15/50

P(A and B) = 5/40

Therefore P(A and B) = 25/50+15/50 - 5/50

= 35/50 = 7/25

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For 11 :

Now , We'll find the Base :

Area of Triangle = 1/2 × b × h :

30.2 = 1/2 × b × 7.2

30.2 = 3.6 × b

30.2 / 3.6 = b

8.3 in = b

Now , we can say that the base is 8.3 in .

For 12 :

Area of Triangle = 1/2 × b × h :

25.5 = 1/2 × 11.1 × h

25.5 = 5.5 × h

25.5 / 5.5 = h

4.6 cm = h

Now , we can say that the height is 4.6 cm .

Answer:

y = (1/4)x

Explanation:

We're told from the question that x and y vary directly, we can represent that as shown below;

where k is a constant.

When x = 12 and y = 3, let's go ahead and solve for k;

If we substitute the value of k into our initial equation, we'll have;

Answer:slope 2/3

Y-int 6

Step-by-step explanation:

Answer:

slope=0 horizontal Line

Step-by-step explanation:

The graph of the feasible region is attached

From the question, we have the following parameters that can be used in our computation:

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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The coefficient of the second term, 6x⁴, is 6.

The terms of the polynomial are:

-4y⁵, 6x⁴, 9w³, -4w, -1

The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.

The coefficient is 6.

Therefore, the list of terms is:

-4y⁵, 6x⁴, 9w³, -4w, -1

Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.

The coefficients indicate the scalar value by which each term is multiplied.

The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.

Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.

There is a 6 coefficient.

As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.

Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.

The scalar value by which each phrase is multiplied is shown by the coefficients.

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Financial Maths

A sequence of equal payments (or deposits) at equal periods of time is called an annuity.

The future value of an annuity can be calculated with the formula:

Where:

FV is the future value of the annuity

A is the periodic deposits

n is the number of compounding periods per year

i is the interest rate adjusted to the compounding periods. i = r/n where r is the APR.

t is the duration of the investment in years

The financial variables for this investment are:

A = $1100

r = 3.7% = 0.037

n = 360. Daily compounding

i = 0.037/360 = 0.000102777

It's crucial to keep as many decimals as possible in the calculations.

Applying the formula:

Calculating:

FV = $14,361,798.98

Calculation steps (in strict order)

* Add 1 + 0.00010277 = 1.00010277

* Multiply 360*23 = 8280

* Raise 1.00010277^8280 = 2.341885

* Subtract 1 = 1.341885

* Divide by 0.00010277 = 1.341885/0.00010277=13056.18

* Multiply by 1100: $14,361,798.98

Rounded to the nearest cent

The solution to the system include the following: (2, 11) and (4, 3).

In Mathematics and Geometry, a point of intersection is the location on a graph where two (2) lines intersect or cross each other, which is primarily represented as an ordered pair with a point that corresponds to the x-coordinate (x-axis) and y-coordinate (y-axis) on a cartesian coordinate.

By critically observing the graph of the lines representing the given system of equations, we can reasonably and logically deduce that the correct solution set lies in Quadrant I, and it is denoted by the point of intersection of both the x-coordinate (x-axis) and y-coordinate (y-axis), which is given by these ordered pairs (2, 11) and (4, 3).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

A. P(6, then 1) = 1/90

B. P(even, then 5) = 1/18

C. P(8, then odd) = 1/18

D. P(3, then prime) = 2/45

E. P(prime, composite) = 4/15

F. P(even, then 3, then 5) = 1/144

Given:

Total number of cards: 10

A. P(6, then 1):

P(6, then 1) = 1/10 x 1/9

= 1/90

B. P(even, then 5):

Number of favorable outcomes: 5 x 1 = 5

P(even, then 5) = 5/10 x 1/9

= 1/18

C. P(8, then odd):

Number of favorable outcomes: 1 x 5 = 5

P(8, then odd) = 1/10 x 5/9

= 1/18

D. P(3, then prime):

Number of favorable outcomes: 1 x 4 = 4

P(3, then prime) = 1/10 x 4/9

= 2/45

E. P(prime, composite):

Number of favorable outcomes: 4 x 6 = 24

P(prime, composite) = 4/10 x 6/9

= 4/15

F. P(even, then 3, then 5):

Number of favorable outcomes: 5 x 1 x 1 = 5

P(even, then 3, then 5) = 5/10 x 1/9 x 1/8

= 1/144

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Answer:

4. w+4=s

5. Winn's sister will be 18 years old when Winn is 14.

Step-by-step explanation:

4. Winn's age + 4 years is Winn's sisters age. They are four years apart.

5. Winn's sister is 4 years older than Winn so Winn's sister will be 18 when Winn is 14.

Answer:

From your selections of answers, It's B: 12 x^3 - 21 b^5, but it's not completely simplified.

Step-by-step explanation:

Simplify the following:

3 (3 x^3 - 7 b^5) + 3 x^3

3 (3 x^3 - 7 b^5) = 9 x^3 - 21 b^5:

3 x^3 + (9 x^3 - 21 b^5)

Grouping like terms, 9 x^3 + 3 x^3 - 21 b^5 = (3 x^3 + 9 x^3) - 21 b^5:

(3 x^3 + 9 x^3) - 21 b^5

3 x^3 + 9 x^3 = 12 x^3:

12 x^3 - 21 b^5

Factor 3 out of 12 x^3 - 21 b^5:

Answer:  (3 (4 x^3 - 7 b^5)) = 12 x^3 - 21 b^5

Answer:

Step-by-step explanation:

b. -2/5 - 4p/3

d. -4p/3 + (-2/5)

Answer:

Option d (quantitative data) is the correct choice.

Step-by-step explanation:

The remaining three options do not apply to the specified scenario. Therefore the description made will serve as an example of quantitative data.

Answer:

ABC is a 90 degree angle and CBD is a 30 degree.

Step-by-step explanation:

If u look at ABC you can see that its a right angle and CBD is 30 degrees because its the exact same angle as EBF!!!

Michael has around 150 hits.

Michael:

The number of hits he has is therefore:

= Number of bats x Proportion of bats hit

= 450 x 1/3

= 450 /3

= 150 hits

In conclusion, Michael should therefore have around 150 hits.

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