The average person living in the United States produces
A : about 400 pounds of solid waste per day.
B : about 4 pounds of solid waste per day.
C : about 400 pounds of solid waste per year.
D : about 4 pounds of solid waste per month.

Answer:

8 and 3; 56 and 21; 896 and 336 all have the same ratio i.e. 8:3

The range of the function on the graph would be: D. all real numbers greater than or equal to 2

To obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.

So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.

Learn more about graphs here:

https://brainly.com/question/19040584

#SPJ1

To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.

From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.

To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.

We can use the formula for the nth term of a geometric sequence:

An = A1 * r^(n-1)

In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.

Since we know A3 and the common ratio, we can substitute these values into the formula:

60 =\(A1 * (160/60)^(3-1)\)

Simplifying this equation, we have:

\(60 = A1 * (8/3)^260 = A1 * (64/9)\)

To isolate A1, we divide both sides of the equation by (64/9):

A1 = 60 / (64/9)

Simplifying further, we have:

A1 = 540/64 = 67.5/8.

Therefore, the first term of the sequence (A1) is 67.5/8.

Now that we know A1 and the common ratio, we can find Az using the formula:

Az = A1 * r^(z-1)

Substituting the values, we have:

Az =\((67.5/8) * (160/60)^(z-1)\)

However, we now have the formula to calculate it once we know the position z in the sequence.

For more such questions on geometric sequence

https://brainly.com/question/24643676

#SPJ8

Step-by-step explanation:

The way you can think about volume is that we have some cross sectional area times the height of the solid.

27.

The volume of a square based pyramid is

\(v = {s}^{2} ( \frac{h}{3} )\)

where h is the height of the pyramid

s is the side length of the square base.

S=7

h=12

\(v = {7}^{2} ( \frac{12}{3} ) = 49 \times 4 = 196\)

28. The volume of a rectangular prism

\(v = l \times w \times h\)

where l is length

w is width

h is height

\(v = 11 \times 11 \times 8 = 968\)

29.

Use the same formula in 27

\(v = 100(3) = 300\)

30.

Volume of a Cylinder is

\(v = \pi {r}^{2} h\)

where r is the radius of the circle

where h is the height

r is half of the diameter

The diameter is 22, thus the radius is 11.

\(v = {11}^{2} (8)(\pi)\)

\(v = 968\pi\)

pi is approximately 3.14

\(v = 3041.06\)

31. Volume of A Sphere

\( \frac{4}{3} \pi {r}^{3} = v\)

The radius is half of diamter, thus r=7

\( \frac{4}{3} \pi( {7}^{3} ) = 1436.76\)

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

Answer:

πd=6786 miles

3.14×d=6786

d=6786/3.14

d=2161.146 miles approximately

The value of the number is 64

We need to know that index forms are described as mathematical forms that are used to represent numbers or variables that are too large or too small in more convenient forms.

The rules of index forms are;

Add the exponents when multiplying numbers of like bases

Subtract the exponents when dividing numbers of like bases

From the information given, we have the index form as;

4⁴⁻¹

subtract the exponent, we get;

4³

Find the cube of 4, we have;

64

Learn more about index forms at: https://brainly.com/question/15361818

#SPJ1

Answer:

1.66

Step-by-step explanation:

The mean of a set of data is 4.68 and its standard deviation is 2.83. Find the z score for a value of 9.38

Given that :

Mean (m) = 4.68

Standard deviation (s) = 2.83

Value of x = 9.38

Zscore = (x - mean) / standard deviation

Zscore = (9.38 - 4.68) / 2.83

Zscore = 4.7 / 2.83

Zscore = 1.6607773

Hence, Zscore for a value of 9.38 is 1.66

Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

Answer:

The answer is 2400 cm^3

Step-by-step explanation:

You just need to multiply the dimensions

Answer:

2400 cm³

Step-by-step explanation:

Volume of cuboid = length × width × height

Volume = 8 cm × 15 cm × 20 cm

Volume = 2400 cm³

So, the volume of the cuboid is 2400 cm³

To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:

Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.

For such more question on median

https://brainly.com/question/26177250

#SPJ8

Answer: 5x - 14

Step-by-step explanation: Combine like terms 4x + x - 14 and turn it into 5x - 14

Check the picture below.

Make sure your calculator is in Degree mode.

\(\cos(25^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{12}}\implies 12\cos(25^o)=x\implies \boxed{10.876\approx x} \\\\[-0.35em] ~\dotfill\\\\ \sin(25^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{12}}\implies 12\sin(25^o)=z \\\\[-0.35em] ~\dotfill\\\\ \sin(50^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{y}}\implies y=\cfrac{z}{\sin(50^o)}\implies y=\cfrac{12\sin(25^o)}{\sin(50^o)}\implies \boxed{y\approx 6.62}\)

The missing variables on item 2 are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For the angle of 60º, we have that:

Hence the length o is given as follows:

tan(60º) = o/12.

\(\sqrt{3} = \frac{o}{12}\)

\(o = 12\sqrt{3}\)

Applying the Pythagorean Theorem, the length i is given as follows:

i² = 12² + \((12\sqrt{3})^2\)

i² = 576

i² = 24²

i = 24.

A similar problem, also about trigonometric ratios, is given at brainly.com/question/24349828

#SPJ1

Answer:

o = 12√3

i = 24

Step-by-step explanation:

From observation of the given right triangle, we can see that two of its interior angles measure 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, the triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

In triangle #2, the shortest leg is 12 units.

As "a" is the shortest leg, the scale factor "a" is 12.

The side labelled "o" is the longest leg opposite the 60° angle. Therefore:

\(o = a\sqrt{3}=12\sqrt{3}\)

The side labelled "i" is the hypotenuse of the triangle. Therefore:

\(i= 2a = 2 \cdot 12=24\)

Therefore:

Answer: 2.4

Step-by-step explanation: Given the angles below, the length of EF will be 2.4

Answer:

B) 3.8.

EF = 3.8

Use the law of sines to find the unknown length EF

Hello!

The distance, d, is less than 200 miles.

B. d > 200

The Solution:

Given that a car that cost $10500 was offered as a loan with a down payment of $800.

This means the loan balance will now be:

The loan payment plan is a monthly payment of $187.53 for 60 months.

We are required to find how much was paid in interest.

We shall take the difference between the total payment and the loan balance.

Therefore, the correct answer is $1552

By using the graph of g, the solution to g(3) is equal to 8.

In Mathematics and Geometry, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.

In Mathematics and Geometry, a domain is sometimes referred to as input value and it can be defined as the set of all real numbers for which a particular function is defined.

When the domain (input value) of the given function g(x) shown in the graph is 3, the output value (range) is given by;

g(3) = 8.

Read more on function here: brainly.com/question/9795474

#SPJ1

Missing information:

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

\(\:\)

◇◆□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□◆◇

2! + 3! + 4! - 5!

( 2 × 1 ) + ( 3 × 2 × 1 ) + ( 4 × 3 × 2 × 1 ) - ( 5 × 4 × 3 × 2 × 1 )

2 + 6 + 24 - 120

8 + 24 - 120

32 - 120

-88

◇◆□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□■□◆◇

\(\:\)

________

\( \: \)

2! + 3! + 4! - 5! = ...

\( = 2 + 6 + 24 - 120\)

\( = 32 - 120\)

= -88

Answer:

a. 32:84 so simplified it becomes 8:21

b. 24:28 so simplified it becomes 6:7

Answer:

a) 8:21

b) 13:41

Step-by-step explanation:

a) 32:84

=8:21

b) 24:26

12:13

The required condition that is sufficient to prove that the triangles are congruent is option (C) that is AB≅JK.

To solve the given problem, we need to abide by the rules of congruency of triangles. There are certain rules for proving the congruency of triangles. If two triangles satisfy any one of these rules, then we can conclude that the triangles are congruent.  The three rules are, SSS which means Side-Side-Side criteria and three sides are equal, ASA which means Angle-Side-Angle and two angles, and their corresponding sides are equal and SAS which means Side-Angle-Side criteria and that two sides and the angle between them is equal.

When two angles are said to be congruent it means they have the same measure that is they are equal. In this question we know that ∠A≅∠J and ∠B≅∠K, we can see that two angles are equal, if we can have the corresponding side of these two angles to be equal then we can say that the two triangles are congruent. The corresponding side of these angles are AB and JK.

Therefore, we can see that the required condition to prove that the triangles are congruent is option (C) that is AB≅JK.

Learn more about congruency of triangles here:

brainly.com/question/2736828

#SPJ9

Complete Question:

△ABC and △JKL are two triangles such that ∠A≅∠J and ∠B≅∠K. Which of the following would be sufficient to prove that the triangles are congruent? A ACJL=BCKL B ∠C≅∠L C AB≅JK D BC≅JK.

Answer:

  D. Square

Step-by-step explanation:

You want the best name for the quadrilateral with vertices (-3, 0), (-3, -3), (0, -3), and (0, 0).

A graph of the points is shown in the attachment. We notice the vertices are aligned with the grid, so the corner angles are all right angles.

The differences of x-coordinates and y-coordinates are both 3, so the side lengths of this rectangle are all 3 units.

The figure is all of a rectangle, rhombus, and square.

The most specific name for the figure is Square.

__

Additional comment

A trapezoid has one pair of parallel sides. This figure has two pairs of parallel sides, so is not a trapezoid.

<95141404393>

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

The constant of proportionality for graph 1 is equal to 10.

The point (2, 20) means 2 seed packets were used for 20 plants.

The constant of proportionality for graph 3 is equal to 2.

The point (9, 18) means 9 people consumed 18 chocolates.

In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios, a straight line, and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the relationship between the x-values and y-values on this graph as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 10/1 = 10.

For the third graph, we have:

Constant of proportionality, k = y/x

Constant of proportionality, k = 6/3 = 2.

Read more on proportional relationship here: brainly.com/question/20167968

#SPJ1

Answer:

If y=−3,

then

4y/4+y

=4×(-3)/4+(-3)

= -12/1

= -12 ,,

Answer:

Answer: -10a+9b (I think)

Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63. Option D

To find the relative frequency of students with red hair among the sample population of students with gray eyes, we need to divide the number of students with gray eyes and red hair by the total number of students with gray eyes.

From the given table, we can see that there are 22 students with gray eyes and red hair.

The total number of students with gray eyes is the marginal total for gray eyes, which is 35.

To find the relative frequency, we divide the number of students with gray eyes and red hair by the total number of students with gray eyes:

Relative frequency = Number of students with gray eyes and red hair / Total number of students with gray eyes

Relative frequency = 22 / 35

Simplifying the fraction, we have:

Relative frequency = 0.6286

Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63.

Therefore, the correct answer is option OD) 0.63.

For more such questions on relative frequency visit:

https://brainly.com/question/3857836

#SPJ8

The probability that an ace is drawn is 4/52, or 1/13 and the probability that a heart is drawn is 13/52, or 1/4.

Since, one of the aces is the ace of hearts

P(an ace or heart is drawn)=4/52+13/52-1/52

P=16/52=4/13

or look at it this way...

P=13/52+3/52=16/52 because one of the aces, the ace of hearts, is already include in the 13/52

you add the probabilities because of the word "or"

the odds (in favor) of an ace or a heart is the ratio of the probability that the event will occur to the probability that the event will not occur

odds=(16/52)/(36/52)=16/36=4/9, or simply look at 4/13, 13-4=9, and the ratio is 4/9

the event cannot happen in 36 ways: 13 diamonds+13 spades+13 clubs-ace of diamonds-ace of spades-ace of clubs=39-3=36, so 16(ways it can happen)/36(ways it cannot happen)=16/36=4/9

note: don't be mislead looking at 4/9, it is not probability but odds; the event can happen in 4 ways and cannot happen in 9 ways, so the event can happen in 4 ways out of a total of 4+9=13 ways

Hence, the probability that an ace is drawn is 4/52, or 1/13 and the probability that a heart is drawn is 13/52, or 1/4.

Learn more about Probability at:

https://brainly.com/question/24756209

#SPJ1