Instead of handing out candy like a well-adjusted person on Halloween, grumpy, anti-social Professor Sosa decides to stand on top of a 400 ft building and toss candy treats onto the ground below. If he drops a bag of candy corn, how long will it take for it to land on the ground? What will the velocity of the bag be when it hits the ground?

Answer:

-3

Step-by-step explanation:

48-24 = 24

8-16 = -8

24/-8 = -3

we have the equation

8x+9y=2

isolate the variable y

9y=-8x+2

y=-(8/9)x+2/9 -----> Equation in slope-intercept form

The slope of the given line is m=-8/9

so

Part 1

If two lines are perpendicular, then their slopes are negative reciprocal

that means

Part 2

If two lines are parallel, then their slopes are equal

therefore

Answer:

a. 2 (numbers less than 0 are negative)

b. 4  (numbers greater than and including 0 are 'not negative')                                                                                  

The expression of the inequality word problems for each question is: As expressed below

A) x is negative. This can be expressed as;

x < 0

B) y is non-negative. This can be expressed as;

y > 0

Read more about Inequalities at: brainly.com/question/24372553

The value of the length x is 2√70. Option C

To determine the value of the length of the triangle, we need to consider the different trigonometric identities, they are;

Now, using the Pythagorean theorem, we have;

17² = x² + 3²

Find the square values and substitute

289 = x² + 9

collect the like terms

x² = 289 - 9

Subtract the values

x² = 280

Find the square root of both sides

x = √280

Find the values

x = √4× 70

x = 2√70

Learn about trigonometric identities at: https://brainly.com/question/22591162

#SPJ1

The group of symmetries of a regular tetrahedron is known as the tetrahedral group, and is denoted by $T_d$. This group consists of all the symmetries of a regular tetrahedron, including orientation-reversing symmetries.

The regular tetrahedron is a three-dimensional object with four faces that are all equilateral triangles. It is one of the five Platonic solids, which are convex polyhedral with congruent faces and regular polygonal faces. The tetrahedral group $T_d$ contains a total of 24 symmetries, which can be divided into two classes: rotational symmetries and reflection symmetries. The rotational symmetries consist of 8 proper rotations, which are rotations that preserve the orientation of the tetrahedron, and 6 improper rotations, which are rotations that reverse the orientation of the tetrahedron. The reflection symmetries consist of 6 plane reflections that reflect the tetrahedron across one of its faces.

To understand the symmetries of the tetrahedron, it is helpful to think about the symmetries of an individual face. An equilateral triangle has 6 symmetries: 3 rotational symmetries (120 degree rotations about the center of the triangle), and 3 reflection symmetries (across the lines of symmetry of the triangle). The regular tetrahedron has four faces, so these symmetries can be applied to each face independently, resulting in a total of $6^4=1296$ symmetries. However, many of these symmetries are not distinct, and can be generated by combinations of the tetrahedral group's 24 symmetries. Thus, the tetrahedral group $T_d$ is the group of all the distinct symmetries of a regular tetrahedron.

Learn more Tetrahedron at:

brainly.com/question/4681700

#SPJ4

Answer:

-1/4

Step-by-step explanation:

But in reality, it is going from positive to negative, so the answer is -1/4.

Answer:

-1/4

Step-by-step explanation:

Among the mean, mode, and median, the unique one is the b. mode.

The mode is the data value that occurs many times more than other data values.

Unlike the mean that shows the average value of all the data values, the mode occurs more.  While we compute the mean by dividing the total data value by the number of data items, the mode is not computed but found as the most frequent data value.

Similarly, the median can be computed when two values occur as the middle values.

Thus, among the three measures of central tendency, the mean, the median, and the mode, the mode is the most unique since it is not computed.

Learn more about the measures of central tendency at https://brainly.com/question/28101345.

#SPJ1

Answer:

12

Step-by-step explanation:

2-cones

3-ice cream flavors

2-sprinkles

2 x 3 x 2 = 12

plz mark brainliest :)

Answer:

half dollars = 5

quarters = 12

Step-by-step explanation:

Set up your equations:

let f represent how many half dollars there are

let q represent how many quarters there are

f + q = 17

0.5f + 0.25q = 5.50

Isolate one variable from the first equation (or the second, if you want to do it that way):

f = 17 - q

Now sub that into the second equation:

0.5(17 - q) + 0.25q = 5.50

8.5 - 0.5q + 0.25q = 5.50

-0.25q = -3

q = 12

Sub that value back into the original equation:

f = 17 - q

f = 17 - (12)

f = 5

The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.

In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.

In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.

This concept is essential to the development of computer programs that are efficient, reliable, and secure.

In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.

In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.

To learn more about : finiteness

https://brainly.com/question/32403180

#SPJ8

Answer:

3 mark me brainlest

Step-by-step explanation:

Answer:

It is the 3rd one I think

Step-by-step explanation:

Hope this helps have an amazing day!

Step-by-step explanation:

√

4

2

⋅

5

5

Pull terms out from under the radical.

4

√

5

5

The result can be shown in multiple forms.

Exact Form:

4

√

5

5

Decimal Form:

1.78885438

Answer: -2

Step-by-step explanation: if you take the square root of 80/5, you get 4. Then, you take 4-5, which is -1.

2 x -1= -2

Hope it helps!

Answer:

4%

Step-by-step explanation:

2/50 is 4....I believe.

1) The Point-Slope Formula (y – y1) = m(x – x1)

2) The Slope-Intercept Formula y = mx + b

To determine the equation of a line, you may use two variations of the general form of a line.

These formulas are:

1) The Point-Slope Formula (y – y1) = m(x – x1)

2) The Slope-Intercept Formula y = mx + b

The standard form of a linear equation, also known as the “general form“, is:

ax+by=c

The letters aa, bb, and cc are all coefficients. When using standard form, aa, bb, and cc are all replaced with real numbers. The letter x represents the independent variable and the letter y represents the dependent variable.

A few notes on Standard Form:

Let us now determine the y-intercept. Remember, this is where the line crosses the y-axis and where x=0 To do so, we will substitute 0 for x

3y-5x=30

3y-5(0)=30

3y=30

y=10

Therefore, the y-intercept is at 10. This means the point (0,10) is on the graph.

To learn more about y-intercept:

https://brainly.com/question/14180189

#SPJ4

Answer:

The answer is 32

Step-by-step explanation:

The formula for finding the area of a trapezoid is:

         ((base 1 + base 2)/ 2 )* h

Now all you have to do is substitute the numbers in.

Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.

Answer:

32 square units

Step-by-step explanation:

\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)

Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.

Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.

The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:

Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.

Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.

Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.

Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.

Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.

Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.

Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.

Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.

Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.

It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.

for such more question on public facilities

https://brainly.com/question/25380567

#SPJ8

Answer:

$638.25

Step-by-step explanation:

I multiplied 17.25 times 37. The product was $638.25.

I was a bit confused when it said,"His overtime rate is 1 times his regular hourly rate." Since it is 1 times his hourly rate, it shouldn't affect the answer.

Answer:

Step-by-step explanation:

(x + 4)^2 - 2 = 7 simplifies to

(x + 4)^2 = 5

We must isolate x.  To do this, take the square root of both sides, obtaining:

x + 4 = ±√5

There are two roots/solutions.  They are:

x = -4 + √5 and x = -4 - √5            

You must include the square root operator (√).  Use "  ^  " to denote exponentiation.

The solutions to the given equation (x + 4)² - 2 = 7 when calculated are; 1 and 7

We are given the equation as;

(x + 4)² - 2 = 7

Add 2 to both sides to get;

(x + 4)² = 9

Find the square root of both sides to get;

x + 4 = ±3

Thus;

x = 3 + 4 and x = -3 + 4

x = 1 and 7

Read more about Algebra at; https://brainly.com/question/4344214

#SPJ2

Answer:

\(3\)

Step-by-step explanation:

\(\mathrm{Let\ the\ age\ of\ Sophia\ be\ }x\mathrm{\ and\ age\ of\ Mohal\ be\ }x+2.\\\mathrm{Given,}\\\mathrm{Product\ of\ their\ ages = 15}\\\mathrm{or,\ }x(x+2)=15\\\mathrm{or,\ }x^2+2x=15\\\mathrm{or,\ }x^2+2x-15=0\\\mathrm{or,\ }x^2+5x-3x-15=0\\\mathrm{or,\ }x(x+5)-3(x+5)=0\\\mathrm{or,\ }(x+5)(x-3)=0\\\mathrm{i.e.}\ x=-5\ \mathrm{or}\ 3.\)

\(x=-5\ \mathrm{is\ disgarded\ because\ age\ cannot\ be\ negative.}\\\mathrm{So\ the\ age\ of\ Shopia,\ }x=3\)

The Vales of x in the equations are : 1) 3 (2) 1  (3) 5  (4) 14  (5) 10 respectively

A linear equation in one variable is that in which the highest power of its variable is 1

The given equations and their solutions are

2x +1 = 7

By collecting like terms we have

2x = 3

x = 3

2) The given equation is 4x +7 = 11

By collecting like terms we have

4x = 4

Making x the subject we have

x = 1

3) 2x -3 = 7

By collecting like terms we have

2x = 10

Making x the subject we have

x = 5

4) 1/2 x - 3 = 7

By collecting like terms we have

1/2x = 7

x= 14

5) The given equation is 3x - 11 = 19

By collecting like terms we have

3x= 30

Therefore x= 10

Learn more about linear equations in one variable on https://brainly.com/question/11897796

#SPJ1

Answer:

Gina has 5 large shipping boxes and 6 small shipping boxes.

Step-by-step explanation:

32 items to ship and 11 shipping boxes.

Large=4 items

4 X 5 = 20

Small=2 items

2 X 6 = 12

20 + 12 = 32

If the dimension of the rectangle will be 8 cm by 13 cm. Then the area of the rectangle will be 104 square cm.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The length of a rectangle is 5 cm longer than it’s width if the perimeter of the rectangle is 42 cm.

Let w be the width. Then the length will be (w + 5).

Then we have

Perimeter = 2 (L + w)

           42 = 2 (w + 5 + w)

            21 = 2w + 5

          2w = 16

            w = 8 cm

Then the length will be

L = w + 5

L = 8 + 5

L = 13 cm

Then the area of the rectangle will be

Area = L x w

Area = 13 x 8

Area = 104 square cm

More about the rectangle link is given below.

https://brainly.com/question/10046743

#SPJ1

Answer: B

Step-by-step explanation: Hope this helps:)

Answer:

you can make 12 cans of them

The value of simplification is 95.

What is simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easily with calculations and solving.

Here, we have

Given: (1000y) -1/2 * (3/x+1) when x = 1/3 and y = 1/10

we have to simplify the given expression.

= (1000y) -1/2 * (3/x+1)

When x = 1/3 and y = 1/10

Now we put the value of x and y in the given equation and we get

=  (1000/10) -1/2 × (3×3+1)

= 100 - 10/2

= 100 - 5

= 95

Hence, the value of simplification is 95.

To learn more about the simplification from the given link

https://brainly.com/question/12316975

#SPJ1

The absolute value gives always a positive number.

If a is negative, then a|x| is negative and |ax| is positive.

Therefore, the graph of y=a|x| won't be the same as the graph of y=|ax|.

Another way to see it, is by using the property:

Since a is negative, then |a| = -a. So, |ax| = -a|x|, which is clearly different from a|x|.

We're given:

If the shop sold " \(9\dfrac{9}{10}\)  times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply \(9\dfrac{9}{10}\) by 9 ounces:

\(9\dfrac{9}{10}\times9\)

Convert the fraction into an improper fraction:

\(=\dfrac{99}{10}\times9\)

Multiply:

\(=\dfrac{891}{10}\)

The shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.

By comparing the result obtained in Part B (6N) with the result obtained in Part A, we can see that the conjecture holds true. The result of the process is indeed related to the original number (N) by multiplying it by 6.

Part A:

Based on the given process, the conjecture that relates the result of the process to the original number (represented as N) is as follows:

Start with the original number N.

Multiply N by 4.

Add 12 to the product.

Divide the sum by 2.

Subtract 6 from the quotient.

The result of this process is the final number obtained.

Part B:

To prove the conjecture using deductive reasoning, we will follow the steps given in Part A:

Start with the original number N.

Multiply N by 12.

Add 4 to the product.

Divide the sum by 2.

Subtract 2 from the quotient.

We will simplify the steps using algebraic notation:

Step 1: N

Step 2: 12N

Step 3: 12N + 4

Step 4: (12N + 4) / 2

Step 5: [(12N + 4) / 2] - 2

Now, let's simplify Step 5:

Step 5: (12N + 4) / 2 - 2

      = (12N + 4 - 2*2) / 2

      = (12N + 4 - 4) / 2

      = 12N / 2

      = 6N

Therefore, the result of this process is 6N.

We may verify that the supposition is correct by comparing the result from Part B (6N) with the result from Part A. By multiplying the outcome by 6, the process does in fact relate to the original number (N).

Learn more about division on:

https://brainly.com/question/25289437

The complete question is:

Multiply the number by 4. Add 12 to the product. Divide this sum by 2. Subtract 6 from the quotient. 1st number is 3 and the results 2nd number is 6 and the results 3rd number is 8 and the results 4th number is 12 and the results part A. Write a conjecture that relates the result of the process to the original number selected. Represent the original number as N. What is the result part b Represent the original number as N, use deductive reasoning to prove the conjecture in part (a) multiply the number by 12 and the results add 4 to the product and the results divide the sum by 2 subtract 2 from the quotient

Answer:

D?

Step-by-step explanation:

I'm not completely sure, but there are 2 different 180 degree lines that y falls on. On one line (y+70=180) it is for sure 110 degrees

When measured on the other line it is (y+70+x=180) I'm not too familiar with this??

Answer:

Monthly $431

Total Pay: 25,859.82

intrest: 1,873.82