(Look at screenshot)
7. The graph represents the height of a passenger car on a ferris wheel, in feet, as a
function of time, in seconds.
Use the graph to help you:

a. Find H(0).
b. Does H(t)=0 have a solution? Explain how you know.
c. Describe the domain of the function.
d. Describe the range of the function.

(Look At Screenshot)7. The Graph Represents The Height Of A Passenger Car On A Ferris Wheel, In Feet,

Answers

Answer 1

Step-by-step explanation:

Use the graph to dtermine the answer for each part of question

a)

H(0) = 5

b)

H(t) = 0 has no solution as its minimum value is 5 feet

c)

The domain all positive rational numbers, since time is zero or positive.

d)

The range changes between 5 and 55 feet, according to the graph.
Answer 2

Answer:

a.   5 ft

b.   No - see below

c.   [0, ∞)

d.   [5, 55]

Step-by-step explanation:

From inspection of the graph:

x-axis:  t = time (in seconds)y-axis:  H(t) = height (in feet)

Part a

When H(0), t = 0  ⇒  y-intercept.

Therefore, from inspection of the graph, H(0) = 5 ft

Part b

H(t) = 0 does not have a solution as the curve never touches the y-axis (when y = 0).

Part c

Domain: set of all possible input values (x-values)

The domain is time (t) (x-axis), therefore the domain is [0, ∞)

Part d

Range: set of all possible output values (y-values)

From inspection of the graph, the lowest value of H(t) is 5 and the highest value of H(t) is 55.  Therefore, the range is [5, 55]


Related Questions

There are 30 students in Ava’s class. Nine of them belong to the Pep Club. What fraction of the class are Pep Club members?

Answers

Answer:

total no. of students=30

pep club students =9

:=9/30 divide by 3

;=3/10

Find the value of f(5) for the function.

F(x)=6+3x

Answers

Answer:

21

Explanation:

To solve this problem, you substitute in the 5 for the x creating this equation: f(5)=6+3(5).

f(5)=15+6

f(5)=21

Brody made his specialty dessert last night. He used 1/2 cup of white sugar and 2/3 cup of brown sugar. How much more brown sugar did Brody use than white sugar?

Answers

Answer:

1/6

Step-by-step explanation:

Tell me if you need one

I need more help!....

Answers

Answer:

1) Factored Form: y = (x - 3)(x + 1)

  X intercepts: (-1, 0), (3, 0)

  Axis of Symetry: x = 1

  Vertex: (1, -4)

  Domain: All real numbers -  (-∞, ∞)

  Range: y ≥ 4

2) Facotred Form: y = (x - 8)(x + 1)

   X intercepts: (-1, 0), (8, 0)

   Axis of symetry: x = 3.5

   Vertex: (3.5, -20.25)

   Domain: All real numbers - (-∞, ∞)

   Range: y ≥ -20.25

Step-by-step explanation:

Two lines that are ____________ have one solution.

Answers

Answer:

Not parallel  

Step-by-step explanation:

Could be   perpindicular    or   not parallel

risa loaned Abi $50 for a month. She charged 5% weekly simple interest for the month. How much did Abi have to pay Risa?

Answers

since the rate is a weekly basis, the period will also be in a weekly basis, so t = 4, assuming a month to be 4 weeks.

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$50\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=weeks\dotfill &4 \end{cases} \\\\\\ A=50[1+(0.05)(4)]\implies A=50(1.2)\implies A=60[/tex]

Find the volume of the cylinder. Explain or show your reasoning. All measurements are in centimeters

Answers

Answer:

200π cm³ (in term of π)

628 cm³ (when define π = 3.14)

Step-by-step explanation:

Given:

radius of circular base = 5height = 8

Volume of Cylinder:

[tex]\displaystyle \large{V=\pi r^2h}[/tex]

If you notice, the volume of cylinder is area of circular base * height.

Input given information in the formula:

[tex]\displaystyle \large{V=\pi \cdot 5^2 \cdot 8}[/tex]

Evaluate:

[tex]\displaystyle \large{V=\pi \cdot 25 \cdot 8}\\\displaystyle \large{V=200 \pi}[/tex]

Since all measurements are in centimeters. Therefore, our unit is cm³ since we are finding volume which is three-dimensional.

Fact

cm is used for one-dimensional measurement such as line.cm² is used for two-dimensional measurement such as area.cm³ is used for three-dimensional measurement such as volume.

However, you didn’t specific which π value/digit should we use so I’ll only put both solutions in where first being in term of π and second being 3.14.

Therefore, the volume is:

200π cm³628 cm³

You want to rent a car. The cost is $120 per day. You are allowed 100 miles per day--but any mileage above that amount will cost $0.35 per mile. You rent the car for 5 days, and drive 925 miles. The car gets 25 miles to the gallon, and a gallon of gas costs $4.
pls help im so confused

Answers

Answer:

600$ rent for 5 days,

around 185 miles a day, meaning you are paying 0.35$x85=29.75 extra a day.

adding up to 120 a day+29.75=149.75 a day.

149.75x5=748.75 for 5 days not including gas prices.

925/25=185 gallons of gas. 4 dollars per gallon, meaning that 185x4=740 extra dollars in gas

748.75+740=1488.75$ for the entire trip.

1488.75

I need help, please and thank you

Answers

Answer:

See below ↓

Step-by-step explanation:

Problem

[tex]\frac{5x}{x+7} + \frac{7}{x}[/tex]

Work

[tex]\frac{5x(x)+7(x+7)}{x(x+7)}[/tex][tex]\frac{5x^{2} +7x+49}{x(x+7)}[/tex]The student's mistake was that instead of taking x(x + 7) as the LCM (Least Common Multiple), he took x + 7, which is not possible in this case

Solution

[tex]\frac{5x^{2} +7x+49}{x(x+7)}[/tex]

Pls someone number 8

Answers

Answer:

3 7/8 liters of rice

Step-by-step explanation:

[tex]1 \frac{5}{8} + 2 \frac{1}{4} [/tex]

[tex]1 \frac{5}{8} + 2 \frac{2}{8} = 3 \frac{7}{8} [/tex]

please help fast it is due​

Answers

A right triangle with a 45 degree angle means the two short sides are the same, so y = 30


the hypotenuse is the length of the side x sqrt (2), so x =30sqrt(2)


answer: x = 30sqrt(2) and y = 30


Joanna draws a scale model of a rectangular table for a carpenter to build. On her drawing, \frac{3}{4} 4
3

of an inch represents 11 foot. In the drawing, the table is 7\frac{1}{2}7 2
1

long. How long, in feet, will the table be when the carpenter builds it?

Answers

The length of the rectangular table the carpenter builds given the scale is 110 feet

What is the length of the drawing?

A scale drawing is a smaller version of a larger image. The scale drawing is usually reduced at a constant dimension

Length of the table = (11 x 7 1/2) ÷ 3/4

(11 x 15/2) x 4/3 = 660/6 = 110 feet

To learn more about scale drawings, please check: https://brainly.com/question/26388230

Yo I need to bring up my math grade bad so
y>-x+1
(please show it graphed already :D)

Answers

Answer:

Step-by-step explanation:

What is the value of the x-coordinate of point A?

Answers

-0.75 is x coordinate
A coordinate : (-0.75, -0.5)

If x is located at -2 and y is located at -5, find Z such that XY is divided into a 2:1 ratio

Answers

Answer:

z = -4

Step-by-step explanation:

Given :

x = -2y = -5z divides xy in the ratio 2 : 1 (m : n)

Solving :

Take the section formulaz = [my + nx] / [m + n]z = [2 x -5 + 1 x -2] / [2 + 1]z = -10 - 2 / 3z = -12 / 3z = -4

A shop keeper sold 7 3/4 kg, 2 1/2 kg and 3 3/5 kg of sugar to three customers in a day. Find the total weight of sugar on that day?


Pls it is urgent

Answers

Answer:

13.85kg

Step-by-step explanation:

7 3/4=7.75

2 1/2=2.5

3 3/5=3.6

7.75+2.5+3.6

=13.85kg

please help me i don't get it

Answers

Area = length x width


area of files = 30 x 20 = 600 square feet


area of unmoved field = 16 x 26 = 416 square feet


area that was mowed = 600 - 416 = 184 square feet


answer: 184 square feet

Answer:

184 ft

Step-by-step explanation:

so, for this, the key is the smaller dimentions on the inside, they are the area of the smaller inner rectangle (416 ft) and the bigger dimentions on the outside, are for the entire rectangle including the mowed area (600 ft), but you dont know the exact value of the mowed area, so you would simply subtract the areas (600-416=184) and that number, 184, is the area of the mowed area that you didnt know.

hope this helps

kleann

Which measure would be best to estimate the amount of fabric
necessary to make an umbrella?

1) volume of a sphere
2) surface area of a sphere
3) volume of a hemisphere
4) surface area of a hemisphere

Answers

Answer:

4: Surface area of a hemisphere

Explanation:

A umbrella is the shape of a hemisphere, which is half of a sphere.
Surface area is the amount of area of a 3D shape.

Surface area of a hemisphere would be best to estimate the amount of fabric necessary to make an umbrella.

What is hemisphere?

A three-dimensional solid called a hemisphere is exactly half the size of a sphere.

To find the amount of fabric that is necessary to make the umbrella.

Since, the shape of umbrella is like hemisphere.

And to find the amount of fabric of umbrella would be equal to surface area of hemisphere.

Implies that,

Amount of fabric of umbrella = surface area of hemisphere.

Hence, option (D) is correct.

To know more about Hemisphere on:

https://brainly.com/question/23178590

#SPJ2

Need this please, asap

Answers

Answer:

2√13

Step-by-step explanation:

15-9 to find a^2, 4 is b^2, and then pythagorean thereoum, a^2+b^2=c^2.

Answer:

Step-by-step explanation:

The base of the triangle used to solve for x (Pythagorean Theorem) is 15 - 9 = 7

The height of the right triangle is 4 so now you have enought to solve for x


Givens

a = 7

b = 4

c = x

Equation

x^2 = b^2 + a^2

Solution

x^2 = 7^2 + 4^2

x^2 = 49 + 16

x^2 = 65               Take the square root of both sides

√x^2 = √65

Answer x = √65

Please help me ASAP

Answers

Answer:

109

Step-by-step explanation:

the sum of 37 and 72 is equal to x

proof:  

37+72 = 109

three angles of a triangle form 180 degree

to find the angle which is not given,

180 - 109  = 71

as you can see, angle with the measure 71 degree and angle x form a straight line, which means their sum is 180

so,

x = 180 - 71

x = 109

that means ,

=>    37+72 = x

=>    109 = 109            [ 37+72 = 109, x = 109]

hope this helps :)

Answer:

Option D is correct answer that is 109° .

Step-by-step explanation:

Question : -

Find the value of x in this triangle .

Given : -

Angle 1 = 37°

Angle 2 = 72°

Angle 3 = y° ( We are assuming it as y )

Angle 4 = x°

To Find : -

We have to find the value of x .

Solution : -

We know that sum of all the interior angles of triangle is equal to 180° . Then ,

Angle 1 + Angle 2 + Angle 3 = 180°

37° + 72° + Angle 3 = 180°

109° + Angle 3 = 180°

Angle 3 = 180° - 109°

Angle 3 = 71°

Therefore , Angle y = 71° .

Now , We know that Angle 3 and Angle 4 is equal to 180° because they are Linear pair . So ,

Angle 3 ( y )+ Angle 4 ( x ) = 180°

71° + x° = 180°

x° = 180° - 71°

= 109°

Therefore , value of Angle x is 109° .

#[tex] \rm{Keep \: Learning}[/tex]

maths i need help i cant find the ans

Answers

Answer:

16 and 25

Step-by-step explanation:

they are square numbers

1^2 = 1 .. etc.

this is a I

There is an error 2*2 is 4 lol realised I wrote tht whoops

A student spent $18 for a haircut this week. Which event, when combined with the student spending $18, will result in the student having $0 remaining?
A. The student earned $18 for cleaning out his neighbor's garage.
B. The student paid his little brother $18 for doing his chores.
C. The student purchased a gift for his mom for $18.
D. The student gave $18 to a friend.​

Answers

Answer:

 A. The student earned $18 for cleaning out his neighbor's garage.

Step-by-step explanation:

 Since it given that a student spend $18 for a haircut this week also means that she/he gave away $18 also known as -$18.

Thus, base on the given answer choices:

[A] is the only one that can make it positive.

Going through all answer choice:

A. The student earned $18 for cleaning out his neighbor's garage.

Earned = +

B. The student paid his little brother $18 for doing his chores.

Paid = -

C. The student purchased a gift for his mom for $18.

Purchased = -

D. The student gave $18 to a friend.​

Gave = -

Hence, Answer is A. The student earned $18 for cleaning out his neighbor's garage.

~lenvy~

Answer:

A. The student earned $18 for cleaning out his neighbor's garage.

Step-by-step explanation:

Since given that A student spent $18 for a haircut this week and asking for Which event, when combined with the student spending $18, will result in the student having $0 remaining

Thus, we know that spending is negative because we are using it so it -18

Base on the given answer choice below we can infer that

earned = +

Paid = -

Purchased = -

Gave = -

The only way to make it back with a $0 is to add $18

Thus the answer is A. The student earned $18 for cleaning out his neighbor's garage.

[RevyBreeze]

In the figure, AC = BC. Find the value of b. ​

Answers

Since AC = BC, we can say that this triangle is isoceles (at C)

In an isoceles triangle, the two angles that does not belong to the top angle (which in this case is C) is equal to each other.

Now, we can find the sum of the 2 missing angles : 180 - 52 = 128.
And since they are equal, we can find b : 128 : 2 = 64/

Answer:

nearly like 63 or 66

Step-by-step explanation:

use the protractor.

What is the mean for this list of numbers 4,8,12,13

Answers

Answer:

4, 8, 12, 13

In order to find the mean you must add all of the values together and then divide by the number of numbers. 4 + 8 + 12 + 13 = 37

Now we divide: 37 ÷ 4 = 9.25

So the mean is 9.25

                      I hope this helps!  :)

The rate for shipping by air express is $8.50 per 100 kg.
Which is the cost for a 250 kg shipment?

Answers

Answer:

It will cost $21.25

Step-by-step explanation:

We can use ratios to solve

8.50          x

--------   = -----------

100 kg      250 kg

Using cross products

8.50 * 250 = 100 x

Divide each side by 100

8.50 * 250/100 = x

21.25 = x

It will cost $21.25

Open-Ended Write an equation for the line in slope-intercept form. Use pencil and paper. Which part of writing the equation is the most difficult? The easiest?
Explain.

Answers

Answer:

y=3x-2, The most difficult part is finding the m or slope. The easiest part is identifying the y-intercept

Step-by-step explanation:

Use the slope formula

Suppose that the volume of a right circular cylinder is 288 cubic meters and the area of its base is 16 square meters. What is the height of the cylinder?


A. 12 m
B. 16 m
C. 18 m
D. 14 m

Answers

Answer: 18

Step-by-step explanation:

288 / 16 = 18

Answer:

C) 18 m

Step-by-step explanation:

(2x-3)(3x+4) Pls help urgent

Answers

6x²-x-12
Use the foil method to multiply each term and then simplify

Answer:

[tex]\boxed{\sf{6x^2-x-12}}[/tex]

Step-by-step explanation:

Use the distributive property.

Use the foil method formula.

Distributive property:

⇒ A(B+C)=AB+AC

Foil method formula:

[tex]\Longrightarrow: \sf{(A+B)(C+D)=AC+AD+BC+BD}[/tex]

(2x-3)(3x+4)

→ 2x*3x+2x*4-3*3x-3*4

Solve.

[tex]\Longrightarrow: \sf{2x*3x+2x*4-3*3x-3*4=\boxed{\sf{6x^2-x-12}}}[/tex]

Therefore, the correct answer is 6x²-x-12.

I hope this helps you! Let me know if my answer is wrong or not.

what make this equation true? 4s+3=63

Answers

★ 1st solve the given equation to find value of "s".

[tex]\sf{⇝4s+3=63} \\ \\ \sf{⇝arranging \: terms} \\ \\ \sf{⇝4s=63-3} \\ \\ \sf{⇝4s=60} \\ \\ \sf{⇝s=\cancel\frac{60}{4}} \\ \\ \sf{⇝s=15} \\ \\ [/tex]

★ substituting s= 15 to check whether the equation is true or not?

4(15)+3=6360+3=6363=63 LHS=RHS

hence,the above equation is true !

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

The table shows the number of colored pencils in lauren's backpack.
2
the ratio of black pencils to total colored pencils in lauren's backpack is 1 : 9. how many orange pencils does lauren have in her backpack?
3 pencils
pencils
9 penals
12 pencils

Answers

Answer:

3

Step-by-step explanation:

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