The table below represents the distance a person runs as a function of time:
Time distance meters
x f(x)
10 60
13 78
16 96
19 114

he average rate of change of the function between x = 10 to x = 16 is m/s and represents the person's speed. (3 points)

Answers

Answer 1
The given data is

  x   f(x)
---- ------
10   60
13   78
16   96
19   114

f(x) =  distance, m
x = time, s

Between x = 10 to x = 16,
f(x) varies by 96 - 60 = 36 m,
x vaires by 16 - 10 = 6 s.

The average speed is
v = (36 m)/(6 s) = 6 m/s.

Answer: 6 m/s


Related Questions

You push the ball with a force of 22.8N which includes a- 2.3N frictional force. So, what is the net force while you push the ball?

Answers

-------22.8 N ------> O <--2.3 N --
They are opposing forces. you subtract the frictional force.

22.8 N - 2.3 N = 20.5 N

he value of an autographed baseball from 2017 is $300. The value of the baseball exponentially increases by 5% each year after 2017. Write a one-variable inequality that could be used to solve for the number of years, x, it would take for the baseball to be worth at least $650. Do not use any dollar signs in the inequality. Write the inequality in standard form.

Answers

If the ball increases by 5% each year, then it's value over t years would be:
fv=300*(1+.05)^t, where fv  is future value. So:
300*(1.05)^t=650
1.05^t=2.166667
t=15.85 years
☺☺☺☺

 

Answer:  

[tex]300(1.05)^x\geq 650[/tex]

Step-by-step explanation:

Since, the initial value of the basketball = $ 300

Annual rate of interest = 5 %

Let the basket ball after x years is worth at least $ 650,

⇒ The cost of basketball after x years ≥ 650

[tex]\implies 300(1+\frac{5}{100})^x\geq 650[/tex]

[tex]\implies 300(1+0.05)^x\geq 650[/tex]

[tex]\implies 300(1.05)^x \geq 650[/tex]

Which is the required inequity.  

Taylor made 5 1⁄4 cups of iced tea. How many 10 ounce glasses can he fill to the brim with iced tea?

Answers

Answer: 
4

Explanation: 
Word problems like this are always a bit tricky to get to the bottom to. 
But to put it simply, this question is asking how many times can 10 oz be taken out of 5 1/4 cups. This is also shown as: 
5 1/4 cups ÷ 10 ounces 

First, make both numbers the same units. Since ounces are smaller, convert 5 1/4 cups into ounces. 
5 1/4 cups 
5 cups = 40 ounces 
1/4 cup = 2 ounces 
40 + 2 = 42 ounces. 
so now do this: 
42 ÷ 10 = 4.2 
So Taylor can fill 4 full glasses with iced tea.


A public park is in the shape of a triangle. the side of the park that forms the base of the triangle is 22 yd long and the area of the park is 7500 yd 2 what is the length of the side of the park that forms the height of the triangle

Answers

Let h be the height. Then:
1/2  (22h)=7500
22h=15000
h=15000/22=681.8181 yds

At the beginning of the week, Naveen has 87 trading cards. On Monday, he gets 9 more. On Tuesday, he gives 16 away. On Wednesday, he is given 3 by a friend. On Thursday, he sells all of his cards to a collector. The collector pays him a rate of c for every card that Naveen has. If Naveen earns $124.50 from the sale, what is c, the rate that the collector pays for each card?
$1.08
$1.50
$41.50
$83.00

Answers

the answer to your problem
is
$1.50

The answer is $1.50
87+9= 96
96-16=80
80+3= 83
$124.50/ 80= $1.56 per card,
$1.50 is the closest option to the exact answer

divide -2x^3-5x^2+4x+2 by x+2

Answers

Final answer:

The detailed answer explains how to divide a polynomial by another using long division method.

Explanation:

To divide -2x³-5x²+4x+2 by x+2, we will perform polynomial long division:

-2x³-5x²+4x+2 / x+2

Start by dividing the leading terms: -2x³ / x = -2x². Multiply x+2 by -2x² to get -2x³-4x². Subtract this from -2x³-5x² to get x². Bring down the 4x next. Continue the process and you will get a quotient of -2x²+x-2 with a remainder of 6.

Question 12 information reference tables look at each expression. is it a factor of 8x4 + 2x2 – 45 when this expression is fully factored? select yes or no for expressions a –
d.
a. 2x2 + 3 yes no
b. 2x2 + 5 yes no
c. 2x – 3 yes no
d. 4x2 – 9 yes no

Answers

8x^4 + 2x^2 - 45 = (2x^2 + 5)(4x^2 - 9) = (2x^2 + 5)(2x + 3)(2x - 3)

(a) 2x^2 + 3....no
(b) 2x^2 + 5...yes
(c) 2x - 3....yes
(d) 4x^2 - 9)...no...not when it is fully factored

If a memory cell whose address is 5 contains the value 8, what is the difference between writing the value 5 into cell number 6 and moving the contents of cell number 5 into cell number 6?

Answers

The required difference is value 5 is put in cell 6 and in the second case value of cell 5 is transferred to cell number 6.

Given that,
If a memory cell whose address is 5 contains the value 8, what is the difference between writing the value 5 into cell number 6 and moving the contents of cell number 5 into cell number 6 is to specify.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is a dependent variable.


Here,

If a memory cell whose address is 5 contains the value 8
implies at cell number 5 the entry is 8
Similarly,
writing the value 5 into cell number 6
While in the case of moving the contents of cell number 5 into cell number 6, Implies 8 is transferred to cell number 6.

Thus, the required difference is value 5 is put in cell 6, and in the second case value of cell 5 is transferred to cell number 6.

learn more about function here:

brainly.com/question/21145944

#SPJ2

What does it mean for a set of financial records to be comprehensive?
a. Comprehensive records are protected against theft and fire.
b. The records must contain sufficient information to cover all of your financial plan. c. At least two people must be able to view and assess the records.
d. The records must contain every one of your financial files, such as pay stubs and receipts.

Answers

The correct answer is B. The records must contain sufficient information to cover all of your financial plan. Being impervious to fire and water has nothing to do with being comprehensive. Being comprehensive means that all details have been carefully examined and that there are contingency plans and goal marks for every day and every situation and all similar things.

Answer:

B. The records must contain sufficient information to cover all of your financial plan.

Step-by-step explanation:

For a set of financial records to be comprehensive, means - The records must contain sufficient information to cover all of your financial plan.

One should prepare all the strategies before hand and all the details of ones financial plans should be thoroughly examined , before implementing any plan.

Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at least 24 ft and must go a horizontal distance of no more than 10 ft. The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.

The graph shows the feasible region, where x represents the horizontal distance and y represents the vertical distance.

Which ordered pairs meet all the constraints for a successful launch and make sense in context of the situation?

Select each correct answer.



1. (4, 36)

2. (0, 33)

3. (4.8, 30.5)

4. (2, 22)

5. (9, 26)

Answers

The required conditions are 24 ≤ y ≤ 33x ≤ 10y ≥ 3x The following points satisfy all of the conditions: (0,33)(4.8,30.5)

What happens when you multiply a fraction by 1?

Answers

If the bottom number is the same thing as 1 then it will be 1, if not, then it will be a mixed fraction

A candle is 17 in. tall after burning for 3 hours. After 5 hours, it is 15 in. tall. Write a linear equation to model the relationship between height h of the candle and time t. Predict how tall the candle will be after burning 8 hours.

Answers

let x = time of burn , y = length 
x = 3 , y = 17 
x = 5 , y = 15 
m = (15 - 17)/(5 - 3) = -2/2 = -1 
y - 17 = -1(x - 3) 
y = -x + 20 

at x = 8 => y = 12 in   Hope it Helps :)

BRAINLIEST!! THANKS!! STARS!!

Find ONLY the areas of the polygons

Answers

11.

area for lower left = 52*62 = 3224

area for upper right = 68*54 = 3672

 total area = 3224 + 3672 = 6896 square yards


12.

 area of upper left = 57-69 = 3933

area of lower right = 24*37 = 888

total area = 3933 +888 = 4821 square feet

Which conjunction or disjunction is equivalent to the following inequality?
|a - 9| ≤ 4

a - 9 ≤ 4 AND a - 9 ≤ - 4

a - 9 ≤ 4 AND a - 9 ≥ - 4

a - 9 ≤ 4 OR a - 9 ≤ - 4

a - 9 ≤ 4 OR a - 9 ≥ - 4

Answers

Use the general definition:

|x - a| ≤ k => - k ≤ x - a ≤ k

So, |a - 9| ≤ 4 => - 4 ≤ a - 9 ≤ 4

Which is a - 9 ≥ - 4 and a - 9 ≤ 4.

That is the second option.

Answer: a - 9 ≤ 4 and a - 9 ≥ - 4

Answer:

a - 9 ≤ 4 and a - 9 ≥ - 4

Step-by-step explanation:

The graph of y=-4x+7 is:
A. a line that shows the set of all solutions to the equation.
B. a point that shows one solution to the equation.
C. a point that shows the y-intercept.
D. a line that shows only one solution to the equation.

Answers

y=-4x+7 is the eguationfor a line that crosses the y intercept at 7 and has a slope of -4 i would go with D

Answer:

A. A line that shows the set of all solutions to the equation

Step-by-step explanation:

Suppose a triangle has sides 3, 4, and 5. Which of the following must be true?
A.The triangle in question is not a right triangle.
B.The triangle in question is a right triangle.
C.The triangle in question may or may not be a right triangle.

Answers

Answer: B.The triangle in question is a right triangle.

Step-by-step explanation:

The Converse of Pythagoras theorem says that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides then the triangle is a right triangle.

The given sides of triangle : 3, 4, and 5.

Here, Measurement of largest side = 5

Then , [tex]5^2=25[/tex]

Also, [tex]4^2+3^2=16+9=25[/tex]

[tex]\Rightarrow\ 5^2=4^2+3^2[/tex]

Hence, by the converse of Pythagoras theorem, the triangle in question is a right triangle.

Answer:

HAS TO BE A RIGHT ANGLE

Step-by-step explanation:

…..

confused on this question

Answers

check the picture below.

since WZ is a bisector of the quadrilateral, that means, it makes two equal halves at the vertex Z and W, that means each triangle gets of those twin angles, so those two angles are the same for both triangles.

now, notice, the segment WZ is shared by both triangles, and thus the tickmark, is the same length for both.

so, you have on Angle and then a Side and then another Angle, two angles and the side between them equal in each triangle, thus congruents by ASA.

Factor the expression. 21x2 + 55x + 14

Answers

(7x+2)(3x+7)

Is the 2 an exponent or variable?

Answer:

(3x + 7)(7x + 2)

Step-by-step explanation:

Calculate the value of the area between the function f(x)=x^2-4f(x)=x2−4 and the x-axis on the interval from x = 0 to x = 2. round your answer to one decimal place.

Answers

To determine the area, calculate first for the differential of the equation given.

          f(x)  = x² - 4

Differentiating,

           f'(x) = 2x

Then, we officially have 2. 
          f'(2) = 2(2) = 4 

          f'(0) = 2(0) = 0

To determine the area, subtract the given answer to get 4 units squared. 

Answer: 4 units/guarrantee

When you are asked to find the area under the curve with a given equation, this is an application of integral calculus. The concept is that, any infinitesimal strip under the curve, when added together, equals the area. Thus, integrate the given equation with limits from 0 to 2.

[tex] A = \int\limits^2_0 {(x^{2}-4) } \, dx [/tex]

A = [x³/3 - 4x]lim 0->2
A = (2³/3 - 4(2)] - (0³/3 - 4(0)] 
A = 16/3 - 0
A = 16/3 ≈ 5.3 sq. units

Convert the mixed number to a decimal. 4 6/25 A. 4.12 B. 4.24 C. 4.25 D. 4.625

Answers

B. 4.24

4 6/25 = 106/25 = 4.24

Complete the inequality statement with the symbol that makes it true.

1.67 ___ 16.7

>
<
=

Answers

Good morning, the answer should be "<", as of the number is bigger. (1 < 16)

Answer:

The symbol in the blank space would be '<'

Step-by-step explanation:

Since, in inequality,

'>' = greater than,

'<' = less than,

'≥' = greater than equal to,

'≤' = less than equal to,

Now, 1.67 × 10 = 16.7

16.7 is 10 times of 1.67,

That is,

1.67 is less than 16.7

1.67 < 16.7

Hence, THIRD option is correct.

BRAINLIEST TO BEST ANSWER!!!

What are the domain and range of the function???

Answers

the curved line starts at (6,0) so the domain is x≥6

 the range is the Y value, since the curved line continues off the graph and does not cross over the x axis the range would be y≥0

name each polynomial by degree and number of terms calculator.


1. -8
2. -4 + 10n
3. 5a^4 - 2a^3 + 7a
4.-3+8v^2
5. -9^5 + 6x^3 - 7x^2 -
9x^4

Answers

What you are really looking at is the biggest exponent on x

1. X=0
2. N=1, linear equation
3. A=4 (looking at the biggest exponent remember), quartic function
4. V=2, quadratic equation
5. X=3, cubic equation
6. X=4, quartic equation


Hope I helped :)

Please write the function

Answers

The equation is y=║x+5║-4. I found this by knowing how the parent function looks like. The point of the v sits at 0,0 and here it sits at -5,-4 which means it moved 5 left and down 4. The left 5 is the +5 added to the x and -4 because it dropped down 4 units.

Given an int variable n that has been initialized to a positive value and, in addition, int variables k and total that have already been declared, use a do...while loop to compute the sum of the cubes of the first n whole numbers, and store this value in total. thus if n equals 4, your code should put 1*1*1 + 2*2*2 + 3*3*3 + 4*4*4 into total. use no variables other than n, k, and total.

Answers

// There are several ways of doing this piece of code. // This is one of the smaller versions. If computes the values from the largest // to the smallest, but does destroy the value of n at the end of the loop. total = 0; do { total += n*n*n; --n; } while(n != 0); // Here is a more conventional version that retains the value of n and computes in // an upward fashion. k=1; total=0; do { total += k*k*k; ++k; } while(k <= n);

Which has the smaller scale: a map on which 1 inch equals 200 miles a map on which 1 inch equals 100 miles?

Answers

A map on which 1 inch equals 200 miles has a smaller scale than a map which 1 inch equals 100 miles. Applying the same concept to a pan of brownies, 1 piece out of 200 pieces would be smaller than 1 piece out of 100.

Alvin’s age is two times Elga’s age. The sum of their age is 60. What is Elga’s age?

Answers

x = Elgas age

2x = Alvins age

x +2x = 60

3x =60

x = 60/3 = 20

Elga is 20 years old

Final answer:

By setting Elga's age as x and establishing an equation based on the given relationship and sum of their ages, we calculated Elga's age to be 20 years old.

Explanation:

To determine Elga's age, we will use the information given:
1. Alvin's age is two times Elga's age.
2. The sum of their ages is 60.

Let's define Elga's age as x. Then, Alvin's age would be 2x since it is two times Elga's age. The sum of their ages can be written as the following equation:

x + 2x = 60

This simplifies to 3x = 60. To find Elga's age, we divide both sides by 3:

3x / 3 = 60 / 3

x = 20

Therefore, Elga's age is 20 years old.

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where lrepresents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?

Answers

It is basically a trick question. Firstly we have to ficus on the given formula to get to the answer for this question.


2l + 2w = 16

2(l + w) = 16

l + w = 8

l = 8 - w

Mow w cannot be less than 1. So the length of the rectangle cannot be more than 7. So we can conclude that 7 inches is the correct option or the first option is the correct option among the given options. 


Hope this helped!!!!!

Find the percent change. Tell whether it is a percent increase or decrease. from 50 to 42

Answers

The answer would be percent decrease because if it started at 50 and turned to 40, it lowered since we know 50 is higher than 42 so it dropped by 8 since 8 divided by 50 0.16 and 0.16 times 100 EQUALS 16%
percent change = (new value - old value)/(old value) * 100

If the percent change is positive, it is an increase.
If the percent change is negative, it is a decrease.

percent change = (42 - 50)/(50) * 100 = -8/50 * 100 = -16%

It is a 16% decrease.

The density of water is 1.0 g/cm3 how many deciliters of water will fill
a.5-l bottle

Answers

50 deciliters of water will fill a 5-l (5 Litre) bottle as 10 deciliters = 1litre. The density of water is not required to answer this question. It can help us to find the weight of water in a 5-l bottle and it will be 5000 grams or 5 Kilograms.
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