. Verify the concepts you havelearned about the Law of Acceleration in doing some problem – solving exercises.1.The rising concern among athletic trainers regarding concussions among football playershas prompted numerous studies of the effectiveness of protective head gears.

1.One study suggests that concussions may result from impacts rated at 740 m/s2. If a player’s head mass (with helmet) is 6 kg and considered to be a free body, then what net force would be required to produce an acceleration of 740 m/s2?2.Captain John Stapp of the U.S. Air Force tested the human limits of acceleration by riding on a rocket sled of his own design.

2.His rocket sled, known as the Gee Whiz, had a mass of about 82 kg. What net force would be required to accelerate Gee Whiz and 82 kg Stapp at 450 m/s2 (the highest acceleration tested by Stapp)?3.Space Shuttle Max is one of the extreme rides in Enchanted Kingdom.

3.The first of its kindin the country, the roller coaster ride inverts its riders six times. If during one of its operations, a 53 kg boy experiences a net force of 1800 N at the bottom of its roller coaster loop, how fast would he be accelerating at this location ​​

Answer: (6,-6)

Step-by-step explanation:

To find the coordinates of point B, we can use the midpoint formula:

Midpoint formula: The midpoint M of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

M = ((x1+x2)/2, (y1+y2)/2)

Here, we know that the midpoint M is (4, -2), and one endpoint A is (2, 2). Let B be the other endpoint, so we can use the midpoint formula to find B:

4 = (2+x2)/2 --> 8 = 2+x2 --> x2 = 6

-2 = (2+y2)/2 --> -4 = 2+y2 --> y2 = -6

Therefore, point B has coordinates (6, -6).

As for the second question, without a graph or information about the equation of line t and point P, it is not possible to determine which points lie on the line passing through P and perpendicular to t.

The required expression is Total = 152+x .

What is expression ?

  Mathematical statements called expressions must contain a minimum of two terms with either numbers, variables, or both, joined by an operator. The four different types of mathematical operators are addition, subtraction, multiplication, and division. For instance, the expression x + y is an expression where x and y are terms with an addition operator between them. Mathematical expressions can be divided into two categories: algebraic expressions, which include both numbers and variables, and numerical expressions, which solely contain numbers.

Here,

The number of bottles Enrique collected = 152

Let us take number of bottles  collected by Latasha as x. Then,

Total number of bottles collected by the is ,

=> Total = Number of bottles collected  + Number of bottle collected

                by Enrique                                   By Latasha.

=> Total = 152+x

Hence the required expression is Total = 152+x.

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Hi!

Your answer is:

Hope this helps!

Let's write in scientific notation

\(\\ \sf\longmapsto 40180min\)

\(\\ \sf\longmapsto 40180(60)\)

\(\\ \sf\longmapsto 2410800\)

\(\\ \sf\longmapsto 2410\times 10^2\)

\(\\ \sf\longmapsto 2.4\times 10^5s\)

Answer:

Each eraser costs $0.49

Step-by-step explanation:

If three erasers cost $1.47, and you have to find the value of one eraser, all you have to do is divide $1.47 by three.

1.47 ÷ 3 = 0.49

To prove this, you can multiple 0.49 by three.

0.49 × 3 = 1.47

Therefore, your answer will be $0.49 per eraser.

(Remember to add the money symbol because some hardcore teachers won't accept the answer without it, or will deduct points. The symbol looks like this: $)

Answer:

$0.49

Explanation:

1.47 divided by 3 is 0.49.      

°ω°  

:⊃

°∨°

Answer:

\(\displaystyle m=2\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point A(-2, -4)

Point B(2, 4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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In a case whereby In 1950, a U.S. population model was y = 151. (1.013)^t-1950 million people, where t is the year, the model predict the U.S. population would be 288 million in the year 2000.

Population models are mechanical theories that link alterations in population structure and density to responses at the individual level (life history features in eco-evolutionary theory or vital rates in demographic theory).

The model was given as y=151x(1.013)^t-1950

where the future time t = 2000

Then we can substitute the given year 2000 as the value of 't'

then we will have y=[151x(1.013)^(2000-1950)] = 288 million

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Step-by-step explanation:

come on !

the vertex is typically a corner or a (general or local) extreme value or turning point of the curve.

so, what can that point be ?

there is only one candidate : (4, 1).

that means x = 4, y = 1.

that is the 4th answer option.

Answer:

\(a^{12}b^{15}\)

Step-by-step explanation:

Answer:

412.92

Step-by-step explanation:

\(A = P(1+\frac{r}{n} )^{nt}\)

A: Amount, P: Principal, r: interest, n: no.of times compounded yearly and t: time in years

We have P = 300

r = 4% = 0.04

n = 12 (compounded monthly)

t = 8

\(A = 300(1+\frac{0.04}{12} )^{12*8}\\\\300(\frac{12.04}{12} )^{96}\\\\= 412.92\)

Answer:

Step-by-step explanation:

A relation may or may not represent a function.

Table (a), (c) and (d) represent a function

The tables represent a relation

For a relation to be a function, then:

The y values must have unique (or distinct) x-values.

From the list of tables, we have the following observations

Hence, all the tables represent a valid function, except table (b)

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We have the following response after answering the given question: equation Hence, there are 22/45 female students at the dance.

In a mathematical equation, the equals sign (=), which connects two claims and denotes equality, is utilised. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a space. Mathematical expressions can be used to describe the relationship between the two sentences on either side of a letter. The logo and the particular piece of software frequently correspond. like, for instance, 2x - 4 = 2.

Now, let's determine how many boys and females attend each school:

Middle School in Colfax

Boys: (5/9) * 270 = 150

Girls: (4/9) * 270 = 120

School in Winthrop:

Boys: (4/9) * 180 = 80

Girls: (5/9) * 180 = 100

Now, we can determine how many males and girls attended the dance overall:

Boys: 150 + 80 = 230

Girls: 120 + 100 = 220

Thus, the proportion of female students attending the dance is:

220 / (230 + 220) = 220 / 450 = 44/90 = 22/45

Hence, there are 22/45 female students at the dance.

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Answer:

Isosceles

Step-by-step explanation:

I'm not 100% sure but i believe its an isosceles.

Answer: the answer is A if ur on a iready test

Step-by-step explanation: they both are pointing to a

Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

When we have a given function f(x), the rate of change in a given value x₀ is given by:

\(\frac{df(x_0)}{dx} = \lim_{h \to 0} \frac{f(x_0 + h) - f(x_0)}{h}\)

We will find that the rate of change at t = 4s is:

r = -1/3

Now we can't do this if we do not have the function and we only have a text description of the graph, but what we can do is find the average rate of change.

For a function f(x), the average rate of change in an interval (a, b) such that a < b is given by:

\(r = \frac{f(b) - f(a)}{b - a}\)

Something really nice is that the average rate of change is equal to the exact rate of change if f(x) is a linear equation.

If we want to find the rate of change at t = 4, then we need to find the smallest interval that contains t = 4.

Here we know that the graph passes through the points:

(3,1) to (6, 0)

Because of the statement "a line falling from (3, 1) to (6, 0)" we know that in this segment we have a line, which implies that the average rate of change will be equal to the exact rate of change.

Using the equation of the average rate of change we get:

\(r = \frac{d(6) - d(3)}{6 - 3} = \frac{0 - 1}{3} = - 1/3\)

Then the rate of change in the distance at the time t = 4s is -1/3.

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The ratio of the perimeter of the smaller to larger rectangle is 3:4

The dimension of the smaller rectangle = 3 by 9

The dimension of the larger rectangle = 5 by 11

The perimeter of a rectangle is given by the relation :

Perimeter = 2(Length + width)

Perimeter of smaller rectangle = 2(3+9) = 24 ft²

Perimeter of larger rectangle = 2(5+11) = 32 ft²

Ratio of smaller to larger rectangle

Smaller perimeter : larger perimeter

24 : 32

Reduce to simplest form

3 : 4

Hence, ratio of smaller to larger rectangle is 3:4

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Answer:

4 L 600 mL

Step-by-step explanation:

1 L = 1000 mL

so 27 L 600 mL = 27000 + 600 = 27600 mL

27600/6 = 4600 mL

4 L 600 mL.

Answer:

arithemetic sequence i guess

Answer:

aritmetic sequence

Step-by-step explanation:

Answer:

56/100=0.56

Step-by-step explanation:

Total box=100

shaded=56

Answer: A) Domain: All real numbers , Range: All real numbers

Step-by-step explanation: Since the line of the graph continued to infinity, the answer for both domain (goes from Left to right) and range (goes up to down) would be all real numbers

Answer:

$10,574.40

Step-by-step explanation:

$10,574.40 is already rounded to two decimal places. Rounding to two decimal places means rounding to the hundredths place.

Answer:

Hi, Victoria. When you are dealing with a system of equations in three variables, you want to see first if there is anyway that you can eliminate two variables in one fell swoop. Remember that for any one given equation, you can multiply both sides by the same number without making the equation untrue. Also, remember that you can add or subtract two equations.

If we add the first and second equations, we will eliminate both the x and the y.

(2x + y + z) + (2x - y - z) = (3) + (9)

Answer:

In geometry, a polygon can be defined as a flat or

plane, two-dimensional closed shape bounded with

straight sides. It does not have curved sides. The

sides of a polygon are also called its edges. The

points where two sides meet are the vertices (or

corners) of a polygon

1. polygon with four sides is called a Quadrilateral

2. polygon with six sides is called hexagon

3. polygon with five sides is called pentagon

Hope this helps?

Answer:

x = 0 or x = 1

Step-by-step explanation:

f(x) = |x| - 4

g(x) = x³ - 4

f(x) = g(x)

|x| - 4 = x³ - 4

Add 4 to both sides.

|x| = x³

x = x³  or  -x = x³

x³ - x = 0   or   x³ + x = 0

x(x² - 1) =   or  x(x² + 1) = 0

x = 0 or x + 1 = 0 or x - 1 = 0

x = 0 or x = -1 or x = 1

x = -1 does not work, so we discard that solution.

Answer: x = 0 or x = 1

Answer:

values of x: x = 1 and x = 0

Step-by-step explanation:

Given:

Want: x - values when f(x) = g(x)

|x| - 4 = x³ - 4, the 4 cancel out on both sides

|x| = x³

|x| - x³ = x³ - x³

|x| - x³ = 0, x ≥ 0

-x - x³ = 0, x < 0

x = 0

x = -1, x ≥ 0

x = 1

x = 0, x < 0

The intersections are x = 0 and x = 1 and no solution

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Answer:

Every investment carries some degree of risk, All investments carry some degree of risk. Stocks, bonds, mutual funds, and exchange-traded funds can lose value, even all their value, if market conditions sour. Even conservative, insured investments, such as certificates of deposit (CDs) issued by a bank or credit union, come with inflation risk. They may not earn enough over time to keep pace with the increasing cost of living.

Step-by-step explanation:

\(|x| > 9\)

\(x < -9 \ \ and \ \ x > 9\)

Answer:

I think the answer is 3 1/12

Forgive me if I am wrong though

Step-by-step explanation:

Answer:

3 1/12

Step-by-step explanation:

Answer:

2 other people.

Step-by-step explanation:

First, find a common denominator. Note that what you do to the denominator, you must do to the numerator:

\(\frac{1}{4} * \frac{3}{3} = \frac{3}{12}\)

Each other person implies that she will reserve a piece of chocolate for herself, so you will subtract 1:

\(\frac{3}{12} - \frac{1}{12} = \frac{2}{12}\)

She will share with 2 other people.

~

Answer:

\(\bold{f(x) = 375(2.5)^{-x}+ 33}\)

Step-by-step explanation:

An exponential function of form f(x) = ba^(-x) + c has a horizontal asymptote of y = c as x approaches infinity, and a y-intercept of (0, b + c). We can use the given information to set up a system of equations and solve for the unknowns.

The horizontal asymptote is given as y = 33, so we have:

c = 33

The y-intercept is given as (0, 408), so we have:

b + c = 408

Substituting c = 33, we get:

b + 33 = 408

b = 375

So the function we're looking for is of the form:

\(\bold{f(x) = 375a^{-x}+ 33}\)

To find a, we use the fact that the function passes through P(2, 93):

93 = 375a^(-2) + 33

60 = 375a^(-2)

a^2 = 375/60

a^2 = 6.25

a = \(\sqrt{6.25 } =2.5\)

Therefore, the exponential function that satisfies the given conditions is:

\(\bold{f(x) = 375(2.5)^{-x}+ 33}\)