one of the 4 choices

One Of The 4 Choices

Answers

Answer 1

The translation from the parent function is defined according to the following option:

A translation of 5 units to the right.

How to define the translation?

The four possible translations are defined as follows:

Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.

The parent function in this problem is defined as follows:

f(x) = x².

The translated function is given as follows:

g(x) = (x - 5)².

Meaning that the translated function can be written as follows:

g(x) = f(x - 5).

Thus the transformation to the parent function is given as follows:

x -> x - 5.

Thus it was a translation right of five units, and the third option is the correct option.

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Related Questions

Annapurna suppliers sold construction materials of
Rs. 4,40,000 to Angel suppliers making 10% profit
and adding 13% VAT. Angel suppliers spent Rs. 5,000
for transportation cost and made 10% profit on the
purchased price excluding VAT and levied local tax Rs.
2500 and sold to constructor. What VAT amount should
be paid by the constructor?"
Ans: Rs. 70187

Answers

First, we need to find the price that Angel suppliers paid for the construction materials, including the profit made by Annapurna suppliers and the VAT.

The price that Annapurna suppliers sold the materials for was Rs. 4,40,000 + Rs. 4,40,000 * 10% = Rs. 4,84,000.

The VAT that Annapurna suppliers added was Rs. 4,84,000 * 13% = Rs. 62,820.

So, the total price that Angel suppliers paid was Rs. 4,84,000 + Rs. 62,820 = Rs. 5,46,820.

Next, we need to find the price that the constructor paid for the materials, including the profit made by Angel suppliers, the transportation cost, the local tax, and the VAT.

The profit that Angel suppliers made was Rs. 5,46,820 * 10% = Rs. 54,682.

The total price that the constructor paid was Rs. 5,46,820 + Rs. 54,682 + Rs. 5,000 + Rs. 2,500 = Rs. 6,58,002.

The VAT that the constructor should pay is Rs. 6,58,002 * 13% = Rs. 70187.

Therefore, the answer is Rs. 70187.

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Tommy is flying his kite one afternoon and notices that he has let out
the entire 130 ft of string. The angle his string makes with the ground
is 48°. How high, to the nearest foot, is his kite at this time?

Answers

If Tommy is flying his kite one afternoon and notices that he has let out

the entire 130 ft of string.  The height , to the nearest foot, is his kite at this time is : 144 ft.

How to find the height?

Given data:

String = 130 ft

Angle =  48°

Let h represent the height

Hence,

Tan48° = h/130

h= 130 tan48°

h = 130 (1.11061251483)

h = 144 ft

Therefore we can conclude that the height is 144ft.

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Solve the equation below. Only 1 term should be entered in each blank space.


Begin by reducing the fraction on the left by the greatest common factor and entering the new denominator

Since the terms on the left side of the equation are all divisible by that denominator, simplify the left side of the equation

Answers

Answer:

it's not easy but I'll try my best when I get the answer I'll come back thanks

write an equation in slope-intercept form for the line that passes through (9,12) and is parallel to y=4

Answers

An equation in slope-intercept form for the line that passes through (9,12) and is parallel to y=4 is y= 4x -24.

What is Parallel lines?

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Parallel lines will have the same slope but different y-intercepts  so again we can  use the coordinates to determine the y intercept of the new equation.

So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.

12 = 4(9) + b

12 = 36 + b

b = -24

The equation will be y= 4x -24.

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When solving an equation, Tina gets to the last of line of her work and is left with "7=7." What does this mean?

A
The solution is 7.
B
There is infinite solutions.
C
There is only one solution.
D
There is no solution.

Answers

The last line of a solution is 7 = 7. It means there is infinite solutions.

What are types of solution of linear equation?

The points where the lines representing the intersection of two linear equations intersect are referred to as the solution of a linear equation. In other words, the set of all feasible values for the variables that satisfy the specified linear equation constitutes the solution set of the system of linear equations.

The set of linear equations can have one of three different sorts of solutions. As follows:

1) unique solution

2) No solution

3) Infinite solutions

Given that the last line after solving an equation is 7 = 7.

Since the LHS and RHS of the equation is same thus it has infinite many solution.

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a plane, 50 miles away from its destination, is flying toward the airport at an altitude of 30,500 feet. later, this same plane is 20 miles from the airport and has descended to an altitude of 18,000 ft. how far has the plane flown?

Answers

Using the geometry from the question and using the Pythagorean theorem with the distance provided, The answer is 30.09 miles.

What is unit conversion?

By definition, unit conversion refers to the division or multiplication operation used to convert measurements of the same quantity between various units.

What is Pythagorean theorem and it's formula?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

It's formula is:

[tex]h^{2} = p^{2} +b^{2}[/tex]

h1=30500 feet = 5.77 miles

d1= 50 miles

h2= 18000 feet = 3.4 miles

d2= 20 miles

for right angle triangle,

height = h1-h2 = 2.37 miles

distance  = 50-20 = 30 miles

plane flown = [tex]\sqrt{2.37^{2}+30^{2}}[/tex]

=30.09 miles

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Given MN is perpendicular to MP, PQ is perpendicular to MP, and NR is congruent to OR. Prove triangle NRP is congruent to triangle QRM

Answers

1. [tex]\overline{MN} \perp \overline{MP}[/tex], [tex]\overline{PQ} \perp \overline{MP}[/tex] (given)

2. [tex]\angle NMP[/tex] and [tex]\angle MPQ[/tex] are right angles (definition of perpendicular lines)

3. [tex]\angle NMP \cong \angle MPQ[/tex] (all right angles are congruent)

4. [tex]\overline{NR} \cong \overline{QR}[/tex] (given)

5. [tex]\angle NRM \cong \angle QRP[/tex] (vertical angles)

6. [tex]\triangle PRQ \cong \triangle MRN[/tex] (AAS)

7. [tex]\overline{MR} \cong \overline{RP}[/tex] (CPCTC)

8. [tex]\angle NRP \cong \angle MRQ[/tex] (vertical angles)

9. [tex]\triangle NRP \cong \triangle QRM[/tex] (SAS)

I need help with these

Answers

Answer:

[tex] = \frac{11}{10} \\ \\ [/tex]

this is the correct answer for first question

Find the value of a if the line line y=-x+4 is tangent to the graph of f(x) = x^2 - 5x +a
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

If the line y=-x+4 is tangent to the graph of f(x) = x^2 - 5x + a, it means that the line and the graph of the function are just touching at a single point, and are not intersecting at any other points.

To find the value of a, we can start by setting the equation for the line and the equation for the function equal to each other:

y = -x + 4

f(x) = x^2 - 5x + a

Then, we can substitute the equation for the function into the equation for the line:

-x + 4 = x^2 - 5x + a

We can then solve this equation for a by moving all the terms to one side:

-x + 4 - x^2 + 5x = a

-x^2 + 6x - 4 = a

We can see that the left-hand side of this equation is a quadratic expression in x, and we know that a quadratic function is tangent to a line when the line is a horizontal tangent. This occurs when the derivative of the function is equal to the slope of the line.

The derivative of f(x) = x^2 - 5x + a is 2x - 5, so we can set this equal to the slope of the line, which is -1:

2x - 5 = -1

2x = -6

x = -3

Now that we know the value of x, we can substitute it back into the equation for the function to find the value of a:

f(-3) = (-3)^2 - 5(-3) + a

f(-3) = 9 + 15 + a

f(-3) = 24 + a

Since the line and the function are just touching at this point, the y-value of the function at x=-3 must be equal to the y-value of the line at x=-3. We can substitute these values into the equation for the line to find the value of a:

y = -(-3) + 4

y = 3 + 4

y = 7

Substituting this back into the equation for the function, we get:

f(-3) = 24 + a = 7

a = 7 - 24

a = -17

Therefore, the value of a is -17.

what do you mean by tangent?

A tangent is a line that touches a curve at a single point, but does not intersect the curve at any other points. In other words, it is a line that is just "skimming" the curve, rather than crossing it.

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The length of a rectangle is four times its width.
If the perimeter of the rectangle is 100 m, find Its area.

Answers

Answer:4

Step-by-step explanation:

rectangular prism 1 829 equals the conterpostiive

What is the equation of a line that passes through (8,-5) and is parallel to the graphed line?

Answers

Answer:D. y = 3/4x + 1

Identify the slope and y-intercept of each linear function's equation. X -3=4 slope = 1; y-intercept at -3 y=1-3x slope =-3; y-intercept at 1 y = 3x. - 1 slope =-1; y-intercept at 3 -x+3=y slope = 3; y-intercept at -1

Answers

Using slope-intercept form, the slope and y-intercept of the equation are 1 and - 7 respectively

Slope and Y-intercept

The slope-intercept formula is often used to calculate or identify the slope, the y-intercept, the x-intercept, or the equation of a straight line in the equation.

The slope of the line is defined as the rate of change of the y - axis to the change in the x - axis.

The formula is represented as;

m = Δy / Δx

where Δ represent the change

The y-intercept of a line is the point at which the line touches the y-axis of the graph.

With these information, we can write a slope-intercept form of a straight line which is given as;

y = mx + c

m = slopec = y-intercept

In the given question;

x - 3 = 4

Let's collect like terms

x - 3 - 4 = x - 7

The equation can be rewritten as y = x - 7

In this case, the slope is 1 and the y-intercept is - 7

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Try it #3
Pls help!

Answers

Find the biggest common factor between the ratio's two terms to write the ratio in its simplest form. The largest number that equally divides both numbers is known as the greatest common factor of two numbers.

How do you express a ratio in its simplest form?

1 : 1/2 = 2 : 1

Add whole numbers to the values.

Create a fraction with the full number 1 as the denominator.

Next, we have:

1 : 1/2 = 1/1 : 1/2

Remove the denominators from fractions to convert them to integers.

We discover the Least Common Denominator and rewrite our two fractions as necessary using the common denominator because our two fractions have unlike denominators.

1 1/3 : 4 4/7 = 7 : 24

There are now:

1 1/3 : 4 4/7 = 4/3 : 32/7

Remove the denominators from fractions to convert them to integers.

We discover the Least Common Denominator and rewrite our two fractions as necessary using the common denominator because our two fractions have unlike denominators.

0.360 : 0.153 = 40 : 17

Add whole numbers to the values.

By multiplying both sides by 103 = 1000 to remove all three decimal places, you can convert any decimal values to integers.

Next, we have:

0.360 : 0.153 = 360 : 153

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Find the inverse of the function f(x) = 3x + 2. State the answer in slope-intercept form.

Answers

To find the inverse of the function, first rewrite the equation as y = 3x + 2.

From there, switch the x and y variables.

X = 3y +2

Then, solve for x.

X - 2 = 3y

1/3x - 2/3 = y

So, in slope-intercept form, this equation would be y = 1/3x - 2/3

I need to know what p is 12.4 - p =7.9

Answers

Answer: p = 4.5

Step-by-step explanation:

12.4 - 4.5 = 7.9

Answer: p=4.5

Step-by-step explanation:

You do it like this: 12.4=7.9+p

12.4-7.9=p

p=4.5

Which equation is represented by the graph below

Answers

Answer: pls show list of equations

Step-by-step explanation:

(redo) A mistake was made in the steps shown to simplify the expression. which step includes the mistake?? EDMENTUM

Answers

The step in which there was a mistake in the simplification of the expression is given as follows:

A. Step 5.

How to simplify the expression?

The expression in this problem is defined as follows:

(1 + 3²)/5 + |-10|/2

The first step is applying the absolute value of -10, which is the distance of -10 from the origin of 0, hence it is of 10 and the expression is given then by:

(1 + 3²)/5 + 10/2.

Then the square is applied to 3², as 3 x 3 = 9, hence:

(1 + 9)/5 + 10/2

The parenthesis takes precedence, hence:

10/5 + 10/2.

The first quotient takes precedence, hence:

2 + 10/2.

Then in Step 5 there was the mistake, as the quotient takes precedence over the addition, meaning that the expression should have been simplified as follows:

2 + 5 = 7.

This means that option A is correct.

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PLEASE HELP WILL MAKR BRAINLIEST! Solve for y!!

Answers

Answer:

Below

Step-by-step explanation:

All of the  angles are the same (their opposite sides are =)....it is an equilateral triangle

 all of the angles sum to 180°

  each angle is then 60°

    5y+10 = 60

       5y = 50

          y = 10 °

Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The

area of the patio is 350 ft2. Find the base. Round your answer to the nearest foot.

Hint : Use A = bh.

Answers

We may calculate our answer using fractions and the fact that the base is 18.3 feet.

What are fraction ?

The components of a whole or group of items are represented by fractions. A fraction consists of two components.

The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection.

The denominator is the figure that appears below the line. It displays the total number of identical objects in a collection or the total number of equal sections the whole is divided into.

There are three different methods to express a fraction: as a fraction, as a percentage, or as a decimal. Let's examine each of the three representational styles.

According to our question-

The patio is 280 square feet in size. locate the base.

Height = 5x Area = 280 feet square

Base = 6x

The parallelogram A's area can be expressed mathematically as;

Base + height equals area.

A = b×h

the values of area, base, and height are substituted.

280 = 5x × 6x = 30x^2 \sx^2 = 280/30 \sx = √(280/30)

Given that the base is 6x,

swapping out x's value.

Base = 6x = 6(√(280/30))

Base=18.3 feet

18.3 ft tall is the base

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Answer:

At short 18.7 ft is the answer

suppose that a product is designed to function for 10,000 hours with a 3% chance of failure. find the average number of failures per hour and the mttf.

Answers

A product is designed to function for 10,000 hours with a 3% chance of failure , then Average number of failures per hour = 0.03/10000 = 0.000003 and MTTF = 1/0.000003 = 333,333 hours

Given,

Chance Product is designed to function for 10,000 hours

of failure is 3%

To find,

Average number of failures per hour

MTTF

Solution,

Average number of failures per hour = Chance of failure/Total hours of function

= 3%/10000

= 0.03/10000

= 0.000003

MTTF = 1/Average number of failures per hour

= 1/0.000003

= 333,333 hours

The product is designed to function for 10,000 hours with a 3% chance of failure. This means that the average number of failures per hour is 0.000003 and the Mean Time To Failure (MTTF) is 333,333 hours. This means that, on average, the product should last 333,333 hours before it fails.

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yes Are these polygons congruent? 1.5 cm 4 cm 3 cm no 2 cm​

Answers

They are similar but not congruent.
This is because in order to be congruent, the sides need to be the same lengths

suppose the random variable, x, is distributed normal with mean 4 and standard deviation 1.37. suppose the probability that x is less than the value x is equal to 0.8907, that is, p(x0.8907. what is x?

Answers

Since the probability is less than equal to 0.8907, then the value of x is 0.9750.

Given, the random variable is from of a normal distribution with

μ = 4 and  σ = 1.37

.where, μ  is the mean value and σ  is the standard deviation.

According to the Question:

P(X≤8.907) = P( X−μ/σ ≤ 0.8907 - 4.00/ 1.37)

                  = P ( Z ≤ -29196.43)

​                  

Using Z-table we get a value of x which is 0.9750

So,

P(X ≤ 0.8907) = 97.50%

According to the calculations, the required value of x is 97.50%.

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simplify the expression. be sure to show or explain how you arrived at your answer (-6i)(4i)

Answers

Answer:

hi no ugh I pero Eresi me gusta la

Multiple (-6i)(4i)

By definition i^2=-1

Simplify

-24•(-1)

Solution

24

Can I get Brainly pls

Using composition of functions, determine if the two functions are inverses of each other. A. No, because the functions contain different operations. B. Yes, for all values x ≥ 0. C. No, because the composition does not result in an answer of x. D. Yes, because F(x) is equal to –G(x).

Answers

Yes, for all values x ≥ 0. If the composition of the two functions is equal to the identity function for all values of x in their domain, then the two functions are inverses of each other.

What is composition of functions?Composition of functions is a mathematical operation that involves combining two functions to form a new function. To determine if two functions are inverses of each other using composition of functions, we need to first define the two functions and then determine if the composition of the two functions is equal to the identity function (f(x) = x).If the composition of the two functions is equal to the identity function for all values of x in their domain, then the two functions are inverses of each other. In this case, the correct answer is B: Yes, for all values x ≥ 0.

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Hello can someone help me out with these two questions!?!?! This will help me a lot thank you! :D

Answers

The solution to the first inequality is x ≥ -2. Option 1 is correct. The solution to the second inequality is x ≤ -7. Option 1 is correct.

What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

The inequalities are,

2( x +6 ) > -6( x +1) +2

2x + 12 > -6x - 6 + 2

2x + 6x > -12 - 6 +2

8x > -16

x > -2

-3x - 1 ≥ 20

-3x ≥ 21

x ≥ -7

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In an exhibition, the cost of tickets for an adult is ₹5 more than thrice the cost of ticket for a child. Which equation relates the cost, , of adult ticket in terms of the cost, , of child ticket?

Answers

In an exhibition, the cost of tickets for an adult is 5 more than thrice the cost o f ticket for a child.  

What is   equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

Equation relates the cost, y, of adult ticket in terms of the cost, x, of child ticket.

Cost of Adult ticket = y

cost of child ticket  = x

cost of tickets for an adult is 5 more than thrice the cost o f ticket for a child.  

=> cost of tickets for an adult = 5 + 3 (cost o f ticket for a child.)

=> y  = 5 + 3x

=> y = 3x + 5

Equation is   y = 3x + 5

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k3-4j=12,wen k =8,j=2

Answers

With the Application of Arithmetic operators the value of given equation is 492.

what is Arithmetic operators?

an operator that works with groups and numbers in arithmetic. The prefix and the binary plus (+) and minus (-) symbols are the only arithmetic operators in AHDL that are supported for Boolean expressions.

solution:

sub  k =8,j=2 in equation k^3-4j = 12

Therefore, (8)^3 - 4 (2) = 12

                  512 - 8 - 12 = 0

492 is the value.

Therefore the value of given equation is 492

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Complete Question:
What Is The Answer
k3 - 4j +12, when k=8, j=2​

what is the product of all constants $k$ such that the quadratic $x^2 kx 15$ can be factored in the form $(x a)(x b)$, where $a$ and $b$ are integers?

Answers

The value of k as calculated from the information provided is -16 , -8 , 8 , 16.

The given equation is,

x² + kx + 15

= ( x + a ) (x + b)

= x² + (a + b ) x + ab

Therefore,

k = a + b

ab = 15

as known , a and b are integers,

15 = ( -1 x -15 ) , ( 1 x 15)

15 = (-3 x -5) , (3 x 5 )

Therefore,

k = -1 -15

= -16

and

k = -3 - 5

=8

The values of k are -16 , -8 , 8 , 16.

The collection of whole numbers and negative numbers is known as an integer in mathematics. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.

On integers, we can carry out all arithmetic operations, including addition, subtraction, multiplication, and division. Integer examples include 1, 2, 5, 8, -9, -12, etc. "Z" stands for an integer.

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Ma Baker's Pies charges $12 for a pumpkin pie and $14 for an apple pie. Last week, they sold a third as many pumpkin pies as apple pies, for a total of $5,400. How many pumpkin pies were sold last week?
20 POINTS!!!!

Answers

The Ancient Egyptians were the first to invent a dish close to what we know as a pie today. They had a honey filling covered in a crusty cake made from oats,

Who was the first American author of a recipe for pumpkin pie?This type of pie appears to have been made by some of the early colonists as well—but, by 1796, when Amelia Simmons' American Cookery, the first cookbook written by an American and published in America, appeared, pumpkin pie had evolved into a familiar form that we would recognize today.The cost of one apple pie =  $6They stewed pumpkins or filled a hollowed out pumpkin shell with milk, honey and spices, and then baked it in hot ashes. Northeastern Native American tribes grew squash and pumpkins. The Native Americans brought pumpkins as gifts to the first settlers, and taught them the many uses for pumpkin.Types of squashes were first introduced to Europe in the form of Pumpkin seeds brought back from the Americas by Columbus himself. The introduction of pumpkins affected the way food was consumed in Europe. In both Italy and Spain, pumpkins were used in puddings and soups, making food much tastier and more enjoyable.

And cost of one pumpkin pie = $8

Let the cost of one apple pie be $x

And cost of one pumpkin pie be $ y.

According to given problem,

For Lisa :  sold 8 apple pies and 4 pumpkin pies for a total of $80

8x + 4y = 80   ------------(1)

For Shreya :  sold 8 apple pies and 3 pumpkin pies for a total of $72

8x + 3y = 72    ---------------(2)

Solving equation (1) and (2), to get x and y.

Subtract equation (2) from equation (1)

i.e 8x + 4y - (8x +3y) = 80 - 72

or 8x - 8x + 4y - 3y = 8

or  y = 8

And x = 6   { 8x + 4×8 = 80   or x = (80 - 32)/8  = 48/8 = 6 }

Hence, the cost of one apple pie = x = $6

And cost of one pumpkin pie = y =$8

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STEP BY STEP please help me asap please !!!???

Answers

Answer:

(A) 19 times, 16 people.

Step-by-step explanation:

There are 374 people in line and 16 people leave the line without riding, so there are 374 - 16 = <<374-16=358>>358 people who want to ride the Caterpillar.

The Caterpillar seats 18 people, so it must run 358/18 = <<358/18=19.89>>19.89 times to accommodate all the riders.

Since the Caterpillar cannot run a fraction of a time, it must run 19 times.

There are 358 people who want to ride and the Caterpillar can accommodate 19 x 18 = <<19*18=342>>342 of them, so there are 358 - 342 = <<358-342=16>>16 people on the last ride.

Therefore, the Caterpillar runs 19 times and there are 16 people on the last ride, so the answer is (A) 19 times, 16 people.

Tell me if this helped :)

Answer: A………. Have a good day
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Which function is used to display information to the screen in Python? (5 points)print()main()run =show[] What is better one really big meal or lots of small snacks? Give me two reasons for your answer. Create a table showing all the tasks you and your family do around the house that use water and how often those tasks happen. Leave space for one more column. why is the presence of clay particles important in soil? why is the presence of clay particles important in soil? clay particles allow water to percolate through the soil, making oxygen-rich air pockets available. the negative charges on clay bind to positively charged ions, which would be toxic if absorbed by plants. the negative charges on clay bind to positively charged ions and prevent them from leaching. clay particles provide macronutrients-particularly nitrogen, phosphorus, and potassium. Tell whether the point (13, 17) is a solution to the system of linear equations?y = -x + 30y = x + 6yesno Suppose a rocket is fired vertically upward from the surface of the earth with one-half of the esacpe speed. How far from the center of the earth will it reach vefore it begins to fall back?(let g = 9.8 m/s^2 and Re = 6370 km)A. 1.3 * 104 kmB. 8.5 * 103 kmC. 9.6 * 103 kmD. 2.6 * 104 kmE. 1.9 * 104 kmThe correct answer: B.I do not understand why I am not getting the correct answer. Does 0.010110111011110... represent arational number or an irrational number?Explain your reasoning. three or more consecutive premature ventricular complexes (pvc) at a rate greater than 100 is called: 2. In the space below, write the research question that will guide you in your research,including the three things the assignment calls for. APEX shenandoah is working on a research paper for her psychology course. she prepared her thesis statement and outline, and then developed her first draft. now it is time to review what she has written and make appropriate changes. as she revises her paper, shenandoah should california surf clothing company issues 1,000 shares of $1 par value common stock at $18 per share. later in the year, the company decides to purchase 100 shares at a cost of $21 per share. record the transaction if california surf resells the 100 shares of treasury stock at $23 per share. Which power of Congress helps form a more perfect union?Responsesallocating money to the militaryallocating money to the militaryproviding a check for executive powerproviding a check for executive powerpassing laws to improve the economypassing laws to improve the economycreating courts In return for the relative political autonomy they allowed the religions they conquered, Zhou rulers expected? You drop a 2.00 kg book to a friend who stands on the ground at distance D = 10.0 m below. If your friend's outstretched hands are at distance d = 1.50 m above the ground (Fig. 8-28), (a) how much work Wg does the gravitational force do on the book as it drops to her hands? (b) What is the change U in the gravitational potential energy of the bookEarth system during the drop? If the gravitational potential energy U of that system is taken to be zero at ground level, what is U(c) when the book is released and (d) when it reaches her hands? Now take U to be 100 J at ground level and again find (e) Wg, (f) U, (g) U at the release point, and (h) U at her hands.The aswers are as follows:a) 167J, b) -167J, c) 196J, d)29J, e)167J, f)-167J g)296J, and h) 129J how would you respond to a naysayer that says store business and concessions business will go down if we give out free hats and free food as part of group sales packages? What is the name of fossil 126 A 59-kgkg person riding a bike puts all her weight on each pedal when climbing a hill. The pedals rotate in a circle of radius 18 cmcm . What is the maximum torque she exerts? according to a united nations summary of findings on delinquency, each of the following is accurate except: watching your audience for nonverbal cues that indicate their level of interest in your topic is also known as One number is twelve less than another. If their sum is increased by seven, the result is 83please help me