What is the volume of the container

a) She reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].

b) The girl travels a distance of 6 miles in the first 3 hours.

c) The girl travels a distance of approximately 22.283 miles during her entire hike.

d) The average velocity of the girl is approximately 2.476 miles per hour.

a) The maximum velocity represent the maximum value in the vertical axis reached by the girl in time. According to the graph, she reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].

b) Travelled distance is represented graphically by the area below the curve and above the time axis. The travelled distance ([tex]\Delta x[/tex]), in miles, during the first 3 hours is represented by the area of a rectangle, that is to say:

[tex]\Delta x = v(3)\cdot \Delta t[/tex] (1)

Where:

If we know that [tex]\Delta t = 3[/tex] and [tex]v(3) = 2[/tex], then the travelled distance in the first 3 hours is:

[tex]\Delta x = (2)\cdot (3)[/tex]

[tex]\Delta x = 6\,mi[/tex]

The girl travels a distance of 6 miles in the first 3 hours.

c) The travelled distance is determined by the following geometric expression:

[tex]\Delta x = v(3)\cdot t_{1} + 0.5\pi\cdot [v(5)-v(3)]^{2}+0.5\cdot v(3)\cdot (t_{2}-t_{1})[/tex] (2)

If we know that [tex]v(3) = 2[/tex], [tex]t_{1} = 7[/tex], [tex]v(5) = 4[/tex] and [tex]t_{2} = 9[/tex], then the travelled distance is:

[tex]\Delta x = 2\cdot 7 + 0.5\pi\cdot (4-2)^{2}+0.5\cdot 2\cdot (9-7)[/tex]

[tex]\Delta x \approx 22.283\,mi[/tex]

The girl travels a distance of approximately 22.283 miles during her entire hike.

d) The average velocity ([tex]\bar v[/tex]), in miles per hour, is obtained by dividing the traveled distance ([tex]\Delta x[/tex]), in miles, found in c) by time.

[tex]\bar v = \frac{\Delta x}{\Delta t}[/tex] (3)

If we know that [tex]\Delta x \approx 22.283[/tex] and [tex]\Delta t = 9[/tex], then the average velocity of the girl is:

[tex]\bar v = \frac{22.283}{9}[/tex]

[tex]\bar v \approx 2.476\,\frac{mi}{h}[/tex]

The average velocity of the girl is approximately 2.476 miles per hour.

To learn more on kinematics, we kindly invite to check this verified question: https://brainly.com/question/24486060

The time it takes to type the document increases proportionately to the

number of words in the document.

Reasons:

From the possible figure from a similar question, we have;

The points on the graph are; (0, 0), (1, 60), (2, 120), (3, 180), (4, 240)

The graph is a straight line, therefore, given that the starting point is at the origin, using the points, (0, 0), (1, 60), we have;

The slope of the graph = 60

The y-intercept = 0

The equation that represents the proportional relationship shown on the graph is therefore;

y = 60·x

Where;

y = The number of words

x = The time it takes to type the document

The time it would take Maya to type the document of 2,160 words is given as follows;

2,160 = 60·x

Therefore;

[tex]\displaystyle Time, \ x = \frac{2,160 \ words}{60 \ words/minute} = \mathbf{36 \ minutes}[/tex]

The time it would take Maya to type the document is x = 36 minutes

Learn more about proportional functions here:

https://brainly.com/question/88422

Answer: 267.402

Step-by-step explanation:

The answer is 267.402 because 217.4 times 1.23 = 267.402.

Answer:

267 mph

Step-by-step explanation:

Multiplication

i hope this helps have a great day :)

It will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.

Given that if one rents a car from Airport Rent-a-Car, the charge is $ 79 plus 7 cents a kilometer, while Savings Rent-A-Car charges $ 59 plus 9 cents a kilometer, to determine, if one will drive D kilometers , when it is cheaper to use Savings Rent-A-Car, the following calculation must be performed:

Therefore, it will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.

Learn more about maths in https://brainly.com/question/26027910

Answer:

(0,-2)

Step-by-step explanation:

Therefore, the above answer is correct.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].

A polynomial equation exists an equation where a polynomial exists set equivalent to zero. i.e., it exists an equation constructed with variables, non-negative integer exponents, and coefficients together with operations and an equal sign. It includes different exponents. The highest one demonstrates the degree of the equation.

Given: [tex]x^2 + 2x + 1[/tex] and [tex]y^2 + 2x + 3.[/tex]

Adding both of these two equations, then we get

[tex]x^2+2x+1+y^2+2x+3[/tex]

Group like terms

[tex]=x^2+y^2+2x+2x+3+1[/tex]

Add similar elements [tex]x^2+y^2+4x+4[/tex]

Adding both of the polynomial equations we get [tex]x^2+y^2+4x+4[/tex].

Therefore, the correct answer is [tex]x^2+y^2+4x+4[/tex].

To learn more about polynomial equations refer to:

https://brainly.com/question/26240147

#SPJ2

Answer:

60

Step-by-step explanation:

your welcome

So the Lincoln middle school will have +5.75 pounds or ounces of ffod

1 Simplify \frac{4}{15}x

15

4

x to \frac{4x}{15}

15

4x \frac{4x}{15}=1.44

4x =1.44

2 Multiply both sides by 1515.

4x=1.44\times 15

4x=1.44×15

3 Simplify 1.44\times 151.44×15 to 21.621.6.

4x=21.6

4x=21.6

4 Divide both sides by 44.

x=\frac{21.6}{4}

x= 4

21.65 Simplify \frac{21.6}{4} 421.6 to 5.45.4.

x=5.4

x=5.4

The value of x for the given equation in the mixed fraction will be -4 7/5.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.]

It is given that,−4/15x=1.44

Solve the equation for x,

x= -1.44 × 15/4

Convert the decimal values into the fraction as

x=-144/100 × 15/4

x= -27/5

A mixed number is one that includes both a correct fraction and a full number. Convert the given number into the mixed number as

x=-4 7/5.

Thus, the value of x for the given equation in the mixed fraction will be -4 7/5.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

There are 168 black cubes in the arranagement.

A cube has 6 faces. Each face of the cube consists of 25 white cubes and 24 black cubes.

To get the number of black cubes in the arrangement, we will use the equation below;

Hence there are 168 black cubes in the arrangement.

Learn more about cubes at https://brainly.com/question/1972490

Answer:

m=n+4b:- b=m-n/4.........

Answer:

i think probably 20

Step-by-step explanation:

if 200 students, students do not prefer math 10/100 × 200 = 20

Answer:

1,275

Step-by-step explanation:

Answer:

1275

Step-by-step explanation:

you do 8.5 multiplied by 150

Answer:

The answer is B, f(x)=5(2/5)^(z)

Step-by-step explanation:

I did the graphs for all of them and graph B was identical to the one in the picture.

Answer:

  (b)  f(x) = 5(2/5)^x

Step-by-step explanation:

All of the offered choices agree that the multiplier of the exponential factor is 5. When x=1, the exponential factor must have a value of 2/5 in order to make the function value be 2 at that point.

That is, ...

  f(1) = 5(2/5)^1 = 5(2/5) = 2

You can get there either by using x=1 in each of the offered answer choices, or by observing that the ratio between f(1) and f(0) is 2/5.

  f(x) = 5(2/5)^x

Answer:12 and 12 hope this helps :)

Step-by-step explanation:

Answer:

mark her brialyist i cant spell lol

Step-by-step explanation:

Answer: 27/28 or 0.9642857

Step-by-step explanation:

5/7 + 1/4 = 5 · 4/7 · 4 + 1 · 7/4 · 7 = 20/28 + 7/28 = 20 + 7/28 = 27/28

Answer:

38, 40, and 102

Step-by-step explanation:

when we take a look at this problem which looks the smallest to you? 38! so then whe look again and which looks the second smallest..? 40. so then we are left with 102 which is the biggest number. Therefore your answer is 38, 40, and 102

The values of VT and ST for the given rectangle are 13 and 23.56 respectively.

The given parameters:

The value of VT and ST is calculated as follows;

from the given diagram we can conclude the following;

2RV = RT = US

[tex]2(x + 6) = 5x - 9\\\\2x + 12 = 5x - 9\\\\12 + 9 = 5x - 2x\\\\21=3x\\\\x = 7[/tex]

RT = 2RV = 2VT = 2(7 + 6) = 26

VT = ¹/₂ x 26

VT = 13

The value of ST can be determined from Pythagoras theorem as follows;

[tex]ST = \sqrt{RT^2 - RS^2} \\\\ST = \sqrt{26^2 - 11^2} \\\\ST = 23.56[/tex]

Learn more about Pythagoras theorem here:  https://brainly.com/question/12306722

Answer:

465

Step-by-step explanation:

The way I thought about it was I subtracted 30 from 15 and got 15. Then I subtracted 60 from 30 and got 20. My conclusion is you continue to add 5 more to what you added before. 15, 30, 60, 85, 115, 150, 190, 235, 285, 340, 400, 465.

Answer:

x= 2

Step-by-step explanation:

[tex]\boxed{slope = \frac{y _{1} - y_2}{x_1 - x_2} }[/tex]

Substitute known values into the formula:

[tex] - 2 = \frac{ - 6 - 10}{x - ( - 6)} [/tex]

[tex] - 2 = \frac{ - 16}{x + 6} [/tex]

-2(x +6)= -16

Divide both sides by -2:

x +6= -16 ÷(-2)

x +6= 8

Subtract both sides by 6:

x= 8 -6

x= 2

Answer:

12

Step-by-step explanation:

if h=5

then h+7 = 5+7 = 12

[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]

[tex]\implies\sf{h + 7} \\ \\ \implies\sf{5 + 7} \\ \\ \implies\sf{12}[/tex]

Answer:

there is no way to solve for y, but if your solving for x then x=4/5 and in decimal form it is x=0.8    hope that helps

Step-by-step explanation:

Answer:

aww i help u.....

Step-by-step explanation:

my answer is letter ~~B CAUSE STUDEN BIS CONDYCTION LIKR FREE AT THE SCORED

Answer:

R= -0.95

Step-by-step explanation:

HOPE THIS HELPS :)

Answer: slope for that is 1/2

Step-by-step explanation: rise over run y2-y1 x2-x1

Answer:

B (0,0)

Step-by-step explanation:

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept y=mx+b. Using the slope-intercept form, the y-intercept is 0. b=0

The y-intercept of y=4x is (0, 0)

Option B is correct

The slope-intercept of a line is given as:

y = mx + c

where m represents the slope

c represents the y-intercept

The given equation is y = 4x

To find the y-intercept, substitute x = 0 into the equation and solve for y

y = 4(0)

y = 0

Therefore the y-intercept of y=4x is (0, 0)

Learn more on y-intercept of a line here: https://brainly.com/question/10700419

Answer: The answer is 10 feet of cable.

Answer:

610

Step-by-step explanation:

31 x 10= different flavour and topping combination

x2 = for the whipped cream different option

17 minutes

hope this helps!