The height above ground of a cannon is a function of the time since it was shot.
Question: When time equals 0, why is the height of the cannon ball not equal to 0? Describe the domain of this function. Describe the range.

Answers

Answer 1

The height of the cannonball not equal to 0 when time equals 0 because initial height of the cannonball is above the ground

When time equals 0, why is the height of the cannonball not equal to 0?

From the graph, we have the y-intercept to be

y-intercept = (0, y), where y > 0

This means that the graph starts above the origin

This in other words mean that the initial height of the cannonball is above the ground (e.g. it could be on a building)

Hence, the height of the cannonball not equal to 0 when time equals 0 because initial height of the cannonball is above the ground

Describe the domain and the range of this function

In this case, the domain is from t = 0 till the ball lands on the floor, while the range is from the initial height of the cannonball till the maximum height

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Related Questions

A rain gauge collected 0.2 inches of
rain in 30 minutes. If it keeps
raining at the same rate, what is the
total time it will take to collect 1
inch of rain?

Answers

Answer:

you're answer will be 2 hours and 30 minutes

Step-by-step explanation:

i hope that helps you! :))

Answer is 150 minutes or 2 hours 30 minutes

Step by step

.2 inches in 30 minutes = 1 inch in x minutes

.2/30 = 1/x cross multiply

.2x = 30

Divide both sides by .2 to solve for x

.2/.2 x = 30/.2

X = 150 minutes to fill the gauge to 1”

Ay-Jiuan can buy 12 songs for $10, or she
can pay $0.85 per song. Which option has the lesser price per song?

Answers

Nose nsjwjwjqjwjhwjwbwbnwmwjwhwhw

Answer: The 12 songs for $10

Step-by-step explanation: 12 / 10 = 1.2 while 12 / 0.85 = 14.11

Use the following information to find
x . Write the value of the variable.
B is between A and C
AB=4x-7
BC=20x-5 and
AB=BC

Answers

Using the given information, the value of the variable x is equal to -0.125.

The given question can easily be solved using the constraints given in the question. It is given that B is between A and C. Also, the given question is in the form of Linear equation in one variable. Linear equation in one variable is the one which is of the form ax+b=0 where a and b are real numbers and x is the variable.

So, this implies that AB+BC=AC

Also, AB=4x-7 and BC=20x-5 and it is given that AB=BC

Thus, this implies that:

AB=BC

4x-7=20x-5

Taking 20x from Right hand side to Left hand side and -7 from Left hand side to Right hand side.

4x-20x=-5+7

-16x=2

x=-2/16

=>x=-1/8

=>x=-0.125

Thus, the value of x is equal to -0.125.

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Feng says that the set of ordered pairs {(0, 1), (3, 2), (3, -5), (5, 4)} represents a function. Determine whether his statement is true or false. Select the correct answer and justification. Multiple choice question. cross out A) True; every element of the domain is paired with an element of the range. cross out B) True; each relation is written as an ordered pair. cross out C) False; one element of the domain, 3, is paired with two different elements in the range, –5 and 2. cross out D) False; one element of the range, 3, is paired with two different elements in the domain, –5 and 2.

Answers

Answer:

It's C, a function cannot have an x paired with 2 different y's

Robbie opens an account at a local bank by depositing $100. The account pays 2.4% interest, compounded weekly. He deposits $100 every week for 3 years.
b. Write the future value function if x represents the number of weeks.
c. Use a graphing calculator to graph the future value function.
d. Using the graph, what is the approximate balance after 2 years?

Answers

The equation of the future value function if x represents the number of weeks is [tex]= P((1+r/x)^{nt} - 1)/(r/x)[/tex].

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

Robbie depositing= $100

Interest=2.4%

Time=3 years.

According to given question we have

P = periodic payment = $100 / week

r = interest rate = 2.4%, compounded weekly

t = 3 years

x = 52 weeks (# of times interest is compounded per year)

To write a equation we have

B = Future Value

[tex]= P((1+r/x)^{nt} - 1)/(r/x)[/tex]

Therefore, the equation of the future value function if x represents the number of weeks is [tex]= P((1+r/x)^{nt} - 1)/(r/x)[/tex].

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At a point on the ground 15ft from the base of a​ tree, the distance to the top of the tree is 1 ft more than 2 times the height of the tree. Find the height of the tree.

Answers

At a point on the ground 15ft from the base of a​ tree, the distance to the top of the tree is 1 ft more than 2 times the height of the tree. Find the height of the tree.

The height of the tree is 8ft.

Given that,

A right triangle has two legs, which are height and (15 feet) from the base.

The hypotenuse is 15 feet from the base to the top of the tree.

or 2(height) + 1ft.

Let us take a as height of the tree; b=distance from base=15 ft; c=hypotenuse=2a+1ft

The area of the square created on the hypotenuse of any right triangle is equal to the sum of the areas of the squares formed on the triangle's legs:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]a^{2} +(15ft)^{2}=(2a+ 1ft) ^{2}[/tex]

[tex]a^{2} +225ft^{2}=4a^{2} +4a+1\\ 0=3a^{2}+4a-224\\ 0=(a-8)\times(3a+28)\\[/tex]

Now,

a-8=0 (or) 3a+28=0

a=8 (or) a=[tex]\frac{-28}{3}[/tex]

Therefore, The height of the tree is 8ft.

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The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6 and each adult ticket sells for $9. There was a total of $747 in revenue from the sale of 98 total tickets. Write a system of equations that could be used to determine the number of student tickets sold and the number of adult tickets sold. Define the variables that you use to write the system.

Answers

Answer:

x + y = 989x + 6y = 747

==============================

Let the number of adult tickets be x and student tickets be y.

Set equations

Number of tickets:

Adult tickets + student tickets = 98x + y = 98

Amount of revenue:

Total of adult tickets = 9x, total of student tickets = 6y9x + 6y  = 747

The table lists the eight human blood types.
It also shows how blood types determine who a person can donate blood to and receive blood from.
Blood type
A+
B+
AB+
AB-
A-
B-
0+
0-
Can donate to
A+, AB+
B+, AB+
AB+
AB+, AB-
A+, A-, AB+, AB-
B+, B-, AB+, AB-
(a) X = 1
(b) x = 0
A+, B+, AB+, 0+
All blood types
Can receive from
A+, A-, 0+, 0-
B+, B-, 0+, 0-
All blood types
A-, B-, AB-, 0-
A-, O-
B-, 0-
0+, 0-
0-
Let U be the set of all eight human blood types.
U=(A-, B-, AB+, AB-, A-, B-, 0-,0-)
Let X be the set of blood types that type AB- cannot receive blood from.
Let I be the set of blood types that type B+ can donate blood to.
Find the sets below. Write each answer in roster form or as 2.
CE
D
AB-
0.0 Ø
8+
AB+

Answers

little did they realize they could do with the help they could

PLEASE HELP!!! DUE TMRW!!!

Answers

The values of the required parameters based on the analysis of the dataset are as follows;

X MIN = 0

X MAX = 2

X Scl = 0.5

Y MIN = 0

Y MAX = 110

Y Scl = 20

What is a dataset?

A dataset is a presentation of a collection of data. In a tabular form, a dataset is arranged such that each column of the table presents the data of a specific variable.

The table of values in the question are presented as follows;

d   [tex]{}[/tex]              p

0   [tex]{}[/tex]             110

0.25  [tex]{}[/tex]        90

0.5  [tex]{}[/tex]           80

0.75  [tex]{}[/tex]         75

1  [tex]{}[/tex]         [tex]{}[/tex]      75

1.25  [tex]{}[/tex]          40

1.5  [tex]{}[/tex]            40

1.75  [tex]{}[/tex]           10

2  [tex]{}[/tex]               0

Please find attached a plot of the data in the table presented in the question

X MIN is the minimum x-value obtained from the set of x-values, which is the minimum value of the domain of the data in the table.

From the table in the question; X MIN = 0

X MAX is the maximum x-value obtained from the set of x-values of the data in the table, which is also the maximum x-value of the range of input values in the table.

The maximum x-value in the table, X MAX = 2

X scl is the scale the specification of the distance between consecutive tick marks on the x-axis.

The distance between tick marks on the x-axis of the attached graph, X Scl = 0.5

Y MIN is the minimum y-value obtained from the set of y-values, which is the minimum value of the range of the data presented in the table

The Y MIN obtained from the table is 0

Y MAX is the maximum y-value obtained from the y-values of the data in the table, which is the maximum value of the range of the data in the table

The maximum y-value, Y MAX = 110

Y Scl is the distance between consecutive tick marks on the y-axis of the graph of the data

The Y Scl of the y-axis of the attached graph Y Scl = 20

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Three angles add up to 180 degrees, angle one has a measure of 8x+8, angle two has a measure of 8x+8 and angle three has a measure of 2x+8.

Given that the sum of the angles is 180 degrees, what is the measure of angle one? Round your answer to the hundredths place IE 79.50.

Answers

The first angle will be 77.33°.

How to calculate the angle?

It should be noted that the total angles will be 180°.

This will be illustrated as:

8x + 8 + 8x + 8 + 2x + 8 = 180

18x + 24 = 180

18x = 180 - 24

18x = 156

x = 8.667

The first angle will be

= 8x +8

= 8(8.667) + 8

= 77.33°

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Answer this question please

Answers

Answer:

[tex] \sf (- \infty, 58] [/tex]

Step-by-step explanation:

Express as interval = [tex] \sf (- \infty, 58][/tex]

What is the solution to r/-3 = 12? A. r=-36 B. r= -4 C. r=4 D. r=36 (1 point)

Answers

The answer is ( c= 9 r=-36)
Explain the answer (r/-3= 12 r=-4c r=4c) answer is (c = 9 f=-36) Hope it helps:)

solve for y : 3x-2y+12>0

Answers

Answer:

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

[tex]y < \frac{3x}{2} +6[/tex]

Find the edge length of the cube.​

Answers

Answer:

The volume of a cube is the edge length cubed (S^3)

To find the edge length when the volume is known find the cubic root of the volume.

Step-by-step explanation:

Edge = ∛1/27

Edge = 1/3 ft.

Practice Another
A city lot has the shape of a right triangle whose hypotenuse is 4 ft longer than one of the other sides. The perimeter of the lot is 440 ft. How long is each side of the lot?
short leg
ft
long leg
ft
hypotenuse
ft


Short leg:___________ft

Long Leg:___________ft

Hypotenuse:___________ft

Answers

The length of each sides of the right triangle are as follows:

short leg = 27 ftlong leg = 90 fthypotenuse = 94 ft

How to find the sides of a right triangle?

The shape of the city lot is a right triangle.

The hypotenuse side is 4 ft longer than one of the other side.

The perimeter of the lot is 440 ft.

Therefore, using Pythagoras theorem,

let

x = the other side

y = the second leg

x² + y² = (x + 4)²

x² + y² = (x + 4)(x + 4)

x² + y² = x² + 4x + 4x + 16

x² + y² = x² + 8x + 16

y² = 8x + 16

Hence,

x + x + 4 + y = 440

2x + y + 4 = 440

2x + y = 436

2x + y = 436

y = 436 - 2x

y² = 8x + 16

(436 - 2x)(436 - 2x) = 8x + 16

190096 - 872x - 872x - 4x² = 8x + 16

190096 - 1744x - 4x² = 8x + 16

4x² + 1752x -190080 = 0

4(x² + 438x - 47520) = 0

x² + 438x - 47520 = 0

Therefore,

x = 90 and x = - 528

Therefore, the hypotenuse side is 94 ft.

94² - 90² = y²

y = √8836 - 8100

y = √736

y = 27.1293199325

y = 27 ft

Therefore, the short leg, long leg and hypotenuse are 27 ft, 90 ft and 94 ft.

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List some TV shows or movies with permissive parents.

Answers

Answer: full house,fairly oddparents, the simsons

edit^^^ a movie is clueless or even mean girls

Step-by-step explanation:

HELP
Graph the following system of inequalities on the coordinate plane. You will need to explain your
work. Each correct line graphed WITH the correct explanation and shading is worth 2 points.
> − −
+ ≤
> −

Answers

See attachment for the graphs of the inequalities

How to graph the system of inequalities?

To do this, we analyze and plot each inequality at a time

Having said that, we have

Inequality 1: y > -3x - 2

Here, we have

y > -3x - 2

The inequality > implies that the right-hand side of the origin will be shaded

Also, it means that the line of the inequality will be a dotted line

Inequality 2: 4x + 5y ≤ 20

Here, we have

4x + 5y ≤ 20

The inequality ≤ implies that the left-hand side of the origin will be shaded

Also, it means that the line of the inequality will be a closed line

Inequality 3: y > -4

Here, we have

y > -4

The inequality > implies that the upper part of the origin will be shaded

Also, it means that the line of the inequality will be a dashed line

See attachment for the graphs of the inequalities

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Find the value of PT if
PT=4x+1 and 7x-8

Answers

Answer:

4x+8+7x-8

Step-by-step explanation:

4x+7x+8-8

11x+0

11x.

What is the standard form of 2y =6x + 4

Answers

x= -2/3 hope it help:)

Answer: solve for x

x=[tex]\frac{y-2}{3}[/tex]

solve for y

y=3x+2

Step-by-step explanation:

solve for x

2y=6x+4

Swap sides so that all variable terms are on the left hand side.

6x+4=2y

Subtract 4 from both sides.

6x=2y−4

Divide both sides by 6.

6

6x

Dividing by 6 undoes the multiplication by 6.

[tex]x=\frac{2y-4}{6}[/tex]

Divide −4+2y by 6.

x=[tex]\frac{y-2}{3}[/tex]

solve for y

2y=6x+4

The equation is in standard form.

2y=6x+4

Divide both sides by 2.

[tex]\frac{2y+2}{2} =\frac{6x+4}{2}[/tex]

Dividing by 2 undoes the multiplication by 2.

[tex]y=\frac{6x+4}{2}[/tex]

Divide 6x+4 by 2.

y=3x+2

Find the equation of the line with slope m=- 3 that contains the point (9, - 15) Use fractions in your response, not decimals

Answers

Answer:

y = - 3x + 12

Step-by-step explanation:

Slope intercept form of line

y = mx + b where m = slope, b = y-intercept

==> y = -3x + b is the equatin

To find b, plug in values for point x = 9, y =-15 and solve for b

-15 = -3(9) + b

-15 = -27 + b

Add 27 both sides

-15 + 27 = b

12 = b

b = 12

Equation is
y = - 3x + 12

Numbers that can be written as a power in more than one way

Answers

Numbers that can be written as a power in more than one way is known as exponents .

WHAT ARE EXPONENTS?

A sign that denotes raising to a power that is placed above and to the right of a mathematical expression. for example , [tex]2^{a}[/tex].

The mathematical procedure known as exponentiation, abbreviated as bn, involves the base number (b) and the exponent (or power) number (n). In English, it is pronounced "b (raised) to the (power of) n." [1] Exponentiation is the process of repeatedly multiplying bases, where n is a positive integer, and the product is known as bn.

The exponent is typically denoted by a superscript to the right of the base. The term "b raised to the nth power," "b (raised) to the power of n," "the nth power of b," "b to the nth power," or, most simply, "b to the nth," is used to describe bn.

CALCULATION

Numbers that can be written as a power in more than one way is known as exponents .

These numbers are basically written to save time to multiply the same number multiple times .

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5/8 of the pens in a box are blue pens. 4/5 of the remaining are red pens.what fraction of the pens are red ?​

Answers

Answer is 3/10 fraction are red

Step by step

If 5/8 are blue, 3/8 are remaining.

It says 4/5 of the remaining (3/8) are red.

4/5 x 3/8 = red pens

Cross multiply

12/40

Simplify to 3/10

Choose the number phrase that correctly matches the word phrase “18 less 6.”
18 x 6
18 + 6
6 – 18
18 – 6

Answers

It is 18-6 out of all the other ones

The cold water tap can fill a container two hours faster than the hot water tap. The two taps together can fill a container in 80 minutes. How long does it take each tap to fill the container on its own?

Answers

Answer:

4 hours and 2 hours

Step-by-step explanation:

Let the time for cold tap be c and hot tap be h.

Convert2hrs = 120 min

Set equations

The cold water tap can fill a container two hours faster than the hot water tap:

c - h = 120

The two taps together can fill a container in 80 minutes:

1/c + 1/h = 1/80

Solve the system by substitution

c = h + 1201/c + 1/h = 1/801/(h + 120) + 1/h = 1/80(h + h + 120)/(h(h+120)) = 1/8080(2h + 120) = h(h + 120)160h + 9600 = h² + 120hh² - 40h - 9600 = 0h² - 40h + 400 = 10000(h - 20)² = 100²h - 20 = 100 (taking positive root only, since time is positive value) h = 120 min = 2 hrs

Find c

c = 120 + 120 = 240 min = 4 hrs

Find the slope of a line that passes through (4.5,3.5) and (9.5,5.5)

M =

Answers

[tex](\stackrel{x_1}{4.5}~,~\stackrel{y_1}{3.5})\qquad (\stackrel{x_2}{9.5}~,~\stackrel{y_2}{5.5})~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5.5}-\stackrel{y1}{3.5}}}{\underset{run} {\underset{x_2}{9.5}-\underset{x_1}{4.5}}}\implies \cfrac{2}{5}[/tex]

What is the next fraction in this sequence? Simplify your answer.
1/3, 1/9, 1/27, 1/81,
Submit
...

Answers

Answer:

1/243

Step-by-step explanation:

Each denominator is multiplied by 3 from the last one

3 x 3 = 9

9 x 3 = 27

27 x 3 = 81

81 x 3 = 243

The average rate of change of

f from x =2 to x =5

is _________ -5/4 is incorrect

Answers

Answer:

-1 or -3/3

Step-by-step explanation:

Average rate of change = slope

x = 2 x = 5

(2,3) (5,0)

Slope formula: y₂-y₁/x₂-x₁

(0-3)/(5-2) = -3/3 or -1

the difference between compound interest and simple interest on the same sum of rupees 8000 for 2 year is rupees 20 find the rate of interest ?​

Answers

Answer:

  5%

Step-by-step explanation:

You want the interest rate that makes the difference between compound and simple interest on ₹8000 for two years be ₹20.

Interest formulas

The formula for the value of an account earning simple interest is ...

  A = P(1 +rt) . . . . P earning interest rate r for t years

The formula for the value of an account earning compound interest is ...

  A = P(1 +r)^t . . . . P earning interest rate r for t years

Application

We want the difference in these amounts over 2 years to be ₹20.

  8000(1 +r)^2 -8000(1 +2r) = 20

  1 +2r +r^2 -(1 +2r) = 20/8000 . . . . . divide by 8000, expand the square

  r^2 = 1/400 . . . . . . simplify

  r = 1/20 = 5% . . . . . take the square root

The rate of interest is 5% per year.

One pizza will feed 4 people. How many pizzas are needed for 36 people?
pizzas

Answers

Answer:

9 Pizzas

Step-by-step explanation:

9 Pizzas are needed!

36/4 = 9

(7m³ +8m²-m+2.8)-(-3m³ +9m+3.6)​

Answers

Answer:

The correct answer would be,

= 10m^3 + 8m^2 - 10m - 0.8

Step-by-step explanation:

First you subtract the m^3 terms :

> 7m^3 + 3m^3

> 10m^3

Then you subtract m^2 , in this case we only have 1 m^2 :

> 8m^2

Then you subtract the m terms :

> -m - 9m

> -10m

The lastly you subtract the last terms :

> 2.8 - 3.6

> -0.8

= 10m^3 + 8m^2 -10m -0.8

(Make sure to distribute the negative before you solve it.) Just a point!!

Answer:

10m³+8m²-10m-0.8

Step-by-step explanation:

(7m³ +8m²-m+2.8)-(-3m³ +9m+3.6)

Use the sign to open the bracket we have;

7m³ +8m²-m+2.8+3m³-9m-3.6

bring like terms together

7m³+3m³+8m²-9m-m-3.6+2.8

Simplifying we have;

10m³+8m²-10m-0.8

hope it helps...

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Miraawesome

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