Help I need a helping hand
A boat travels at a rate of 30 miles per hour for 3.5 hours. Let y be the distance, in miles, the boat travels for a given amount of time, x, in hours. This situation can be modeled by a linear function. What is the domain of the function?

Question 11 options:

0≤y≤30

0≤y≤3.5

0≤x≤3.5

0≤x≤30

Answers

Answer 1

Answer:

Step-by-step explanation:

Recall that distance = (rate)(time).  Here the rate is 30 mph and the time 3.5 hr.  The distance traveled is proportional to the time passing by.  The graph of the distance function is a straight line with slope equal to the "rate" named above:

d(x) = (30 mph)x

Since x (elapsed time) can't be negative in this situation, we write the domain as 0 ≤ x ≤ 3.5 hr.


Related Questions

is it an inverse or a reciprocal? Pls help ASAP!!!

Answers

Answer:

An inverse of a fraction is a reciprocal of a fraction. In other words, flipping the numerator and denominator provides the reciprocal of fraction. For example, the reciprocal of fraction 3/5 is 5/3.

Step-by-step explanation:

Given that p varies directly as q and
[tex] \sqrt{q} [/tex]
varies inversely with t², show how p varies with t.

Answers

Answer:

Above is the step-by-step solution

[tex]\\ \sf\longmapsto p\propto q [/tex]

[tex]\\ \sf\longmapsto p=kq[/tex]

Divide both sides by q

[tex]\\ \sf\longmapsto \dfrac{p}{q}=k[/tex]

[tex]\\ \sf\longmapsto q=\dfrac{p}{k}[/tex]

Now

[tex]\\ \sf\longmapsto p\propto \sqrt{q}[/tex]

[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^2}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{k}{t^2}[/tex]

Substitute√q

[tex]\\ \sf\longmapsto \sqrt{q}=\dfrac{k}{t^2}[/tex]

[tex]\\ \sf\longmapsto q=\dfrac{k^2}{t^4}[/tex]

Substitute q=p/k

[tex]\\ \sf\longmapsto \dfrac{p}{k}=\dfrac{k^2}{t^4}[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{k}{t^4}[/tex]

[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^4}[/tex]

Done

Please help! People on my last post didn’t help :(! I’ll give brainliest.

Bill keeps a colony of honeybees on his property. He has created an expression to represent
the number of honeybees that are in the colony t years after he decided to create the colony.
The expression Bill created is -1644 + 160t2 – 144.
After deciding to create the colony, it took a fair amount of time to prepare before actually
getting bees in his colony. After some time, the population in the colony started to decrease;
eventually Bill lost his colony.

(The questions are listed in the photo)

Answers

Answer:

It is 7823

Step-by-step explanation:

This is the right answere because it shows us how each number is placed and what we do with it

what are the reasons?

Answers

Answer:

Step-by-step explanation:

1. ∠WVX , ∠YZX are right angled triangles       1.Given

2. WV ≅ YZ                                                          2. Given

3. X is the midpoint of WY                                  3. Given

4. WX ≅ YX                                                          4. definition of midpoint

5. ΔWVX ≅ ΔYZX                                               5. RH congruent

Please help meeeeee plzzzzz

Answers

tax because the tax shows you what you paid and ect

Evaluate the formula z=
x−μ
σ
n when μ=119​, n=29​, x=116​, and σ=9.

Answers

Answer:  -1.795

Work Shown:

[tex]z = \frac{\overline{x}-\mu}{\frac{\sigma}{\sqrt{n}}}\\\\z = \frac{116-119}{\frac{9}{\sqrt{29}}}\\\\z \approx \frac{-3}{\frac{9}{5.3851648}}\\\\z \approx \frac{-3}{1.671258}\\\\z \approx -1.795055\\\\z \approx -1.795\\\\[/tex]

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.

a. 2.3p – 10.1 = 6.4p – 4
b. 2.3p – 10.1 = 6.49p – 4
c. 230p – 1010 = 650p – 400 – p
b. 23p – 101 = 65p – 40 – p
e. 2.3p – 14.1 = 6.4p – 4

Answers

Hope helps!,,,,,,,!,,,,

In carbon dioxide molecules, for every 2 oxygen
atoms there is 1 carbon atom. How many oxygen atoms
combine with 50 carbon atoms to form carbon dioxide
molecules?

Answers

Answer:

100 oxygen molecules simple math

60 divided by the ratio of 7:3

Answers

First find the total of the ratio:
7 + 3 = 10

Now we can divide 60 by 10:
60 divided by 10 is 6

Finally we can multiply both 7 and 3 by 6:
7 x 6 = 42
3 x 6 = 18

To check we can add 42 and 18: this gives us 60.

Answer: 42:18

Hope this helps!

Write x/2 - 2x + 4/ x + 1 as a single fraction, in its simplest form.

Answers

Answer:

x²-3x - 8 2(x + 1)

Explanation

Find common denominator and write the nu merators above common denominator:

x(x + 1) − (2x + 4) × 2

2(x + 1)

Apply Multiplicative Distribution Law :

x² + x - 4x = 8

2(x + 1)

Reorder and gather like terms:

x² + (x − 4x) — 8

2(x + 1)

Collect coefficients for the like terms:

x² + (1-4) × x-8

2(x + 1)

Calculate the sum or difference:x²-3x -8

2(x + 1)

Answer:

x²-3x - 8

2(x + 1)

What is the geometric mean of
1. 16 and 27
2. 24 and 32
3. 5 and 36
4. 8 and 48

Answers

Answer:

1.  12√3

2.  16√3

3.  6√5

4.  8√6

Step-by-step explanation:

To find the geometric mean of n numbers multiply the numbers and then take the nth root.

For two numbers n = 2  

it's the square root of the product

√(16 * 27)

√432

12√3

√(24 * 32)

√768

16√3

√(5 * 36)

√180

6√5

√(8 * 48)

√384

8√6

HELP I HAVE A TEST TMR MORNING!!!!!!
A boat tied up at a dock bobs up and down with passing waves. The vertical distance between its high point and its low point is 1.8m and the cycle is repeated every 4 s.
Here is the equation that models this: [tex]f(x)=0.9sin(\frac{\pi }{2} x)[/tex]
^The y-coordinates are in m and the x coordinates is the time in seconds

b) Use the model to determine when, during each cycle, the boat is 0.5m above the mean positition.

BRAINLIEST!!!!

Answers

The time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s

Since y = f(x) = 0.9sin(πx/2)

We want to determine the time, x at which the boat is 0.5 m above its mean position. This is the value of y at y = 0.5 m

So, y = f(x) = 0.9sin(πx/2)

0.5 = 0.9sin(πx/2)

Dividing through by 0.9, we have

0.5/0.9 = sin(πx/2)

5/9 = sin(πx/2)

Taking inverse sine of both sides, we have

sin⁻¹(5/9) = πx/2

sin⁻¹(0.5556) = πx/2

0.589 rad = πx/2

x = 2 × 0.589/π

x = 1.178/π

x  = 0.375 s

Since the boat repeats its cycle every 4 seconds, the time the boat is 0.5 m above the mean position after n cycles is t = (4n + 0.375) swhere n is a positive integer. That is n = 0, 1, 2, 3...

So, the time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s

Learn more about sine function here:

https://brainly.com/question/12102275

If the shortest side in a 30° 60° and 90° triangle is a half an inch long find the length of the other two sides

Answers

30=1/2 inch
60=1/2x2=1 inch
90=1/2x3=1 1/2

shortest side is 1/2 inch, medium side is 1 inch, longest is 1 1/2

the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

In a 30°-60°-90° triangle, the ratios of the side lengths are as follows:

- The side opposite the 30° angle is half the length of the hypotenuse.

- The side opposite the 60° angle is √3 times smaller than the hypotenuse.

- The hypotenuse is twice the length of the side opposite the 30° angle.

Let's denote the length of the shortest side as "x" (which is half an inch, i.e., x = 0.5 inches).

Then:

- The side opposite the 30° angle = x = 0.5 inches

- The side opposite the 60° angle = √3 * x = √3/2 inches

- The hypotenuse = 2 * x = 2 * 0.5 inches = 1 inch

So, the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.

Learn more about triangle here

https://brainly.com/question/16929864

#SPJ2

Help please I need help please

Answers

Answer:

25 and 100 I think

Step-by-step explanation:

because the line is between the 20 and the 30 so it its 25

Can someone please give me examples of linear, quadratic, Absolute value, square root, cubic, cube root, exponential, logarithmic, and rational function (parent function) equations to help my friend? Please and thank you. I'll give brainliest to the first person who does all of them and get them right.

Answers

Answer:

Step-by-step explanation:

Consider the cube root parent function.

( graph in photo below )

Complete the statements to make them true.

A cube root function will ( 1 ) ________ have an x-intercept and ( 2 ) ________ have a y-intercept.

For the parent cube root function, ( 3 ) ____________ located at .

Answer:

1. always

2. always

3. both intercepts are

the explination photos below

Answer:

I got you

[tex]f(x)=3x+2[/tex]

[tex]f(x)=4x^2+3x+7[/tex]

[tex]f(x)=|x+4|[/tex]

[tex]f(x)=\sqrt{x+12}[/tex]

[tex]f(x)=6x^3+4x^2-3x-5[/tex]

[tex]f(x)=\sqrt[3]{3x-5}[/tex]

[tex]f(x)=2^x[/tex]

[tex]f(x)=log_3(x)[/tex]

[tex]f(x)=\frac{x+5}{x-3}[/tex]

Each function is respective to the order of the list given.

Let me know if you want the graphs

Which one is not a function? And why not ?

Answers

Answer:

the selected answer/2

Step-by-step explanation:

not a function because the same y has 2 different x values

I need help on Tales mathemathics below on image

Answers

Answer:

x=5

Step-by-step explanation:

i'm assuming the upper left expression is x-1 and that the 3 horizontal lines are parallel

the three horizontal lines seem to be parallel, so we have (x-1)/6 = 6/(x+4). cross multiply to get (x-1)(x+4) = 36, or x^2 +3x - 4 = 36. subtract 36 from both sides to get x^2 + 3x -40 = 0, factor or use the quadratic formula to get (x+8)(x-5)=0, so x=-8 or x=5, since we are looking for a length x can't equal -8, so x=5,

ANSWER ASAP WILL AWARD BRAINLIEST

Answers

Answer:

18/5 + −8/5√3 (as a decimal: 0.828719)

Here is the Answerr attached

(PLEASE HELP!!)

Use the given figure to complete the statement below.

∠1 and ∠2 are what
angles?

-Congruent
-Similar
-Supplementary
-Complementary

Answers

congruent because 2 is a larger number then one and 1 is a smalled number then 2



with complete solution please I need Thanks​

Answers

Answer:

14

Step-by-step explanation:

We can make this and equation

x • y = 1260

x = 3y +48

Our equation is

(3y +48)y = 1260

We get y = 14

Can someone help me with this one. I got it wrong

Answers

Answer:

I believe the answer is D

Step-by-step explanation:

Find the angles a, b, c and d.

Answers

The angles are…
A=101
B=79
C=83
D=97

In a telephone poll, 11 people said they like shopping and 9 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the number of people who like shopping? hurry I need helpppp

Answers

Answer:

9:11

Step-by-step explanation:

well 11 and 9 can be simplified so......

Find the total surface area of this triangular prism.
30 cm
18 cm
7 cm
24 cm

Answers

Answer:

936 cm²

Step-by-step explanation:

The surface area is the sum of all the faces.

The base is a rectangle with

area = 24 × 7 = 168 cm²

The back is a rectangle with

area = 18 × 7 = 126 cm²

The sloping face is a rectangle with

area = 30 × 7 = 210 cm²

The 2 triangular faces are congruent with

area = 2 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ), then

area = 2 × [tex]\frac{1}{2}[/tex] × 24 × 18 = 24 × 18 = 432 cm²

Then

surface area = 168 + 126 + 210 + 432 = 936 cm²

3x=15 question answer

Answers

Answer:

x=5

Step-by-step explanation:

To solve for the value of x, you have to get x by itself.  So to get rid of the 3, divide both sides by 3.  3x/3 leaves x.  15/3 leaves 5.  So you're left with x=5.

The solution of expression 3x = 15 is,

⇒ x = 5

We have to given that,

An expression to simplify,

⇒ 3x = 15

We can simplify the expression for value of x,

⇒ 3x = 15

Divide both side by 3,

⇒ 3x/3 = 15 / 3

⇒ x = 5

Therefore, The solution of expression 3x = 15 is,

⇒ x = 5

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Let x = √(4-√7) and y = √(4+√7), then value of (x-y/√3)² + (x²y+xy²)²+(x+y)² is -​

Answers

Answer:

Refer to the attachment

As I was planting my sunflowers, I had to use 2 different sized flower pots. Now, some are very tall and others are not! Why would this be?


just wanted to know if you can answer

Answers

Answer:

Step-by-step explanation:

There are differents sizes of pots because there are different sizes of flowers and plants, some need more space to grow. :)

Answer:

When seedlings are a 3-6 inches tall, transplant to individual pots, with 1 plant per 8 inch pot. Larger pots (15-inch diameter) can have up to 3 plants.

Step-by-step explanation:

Writing in Math Stacy multiplied 5 x 9 and said the nswer was 44. What two patterns could you use to show nat her answer is not correct?​

Answers

Answer:

5*9= 45

Step-by-step explanation

Well using your hands you can put down your fifth finger and that will give you four fingers on the left and five on the right that then equals 45

B.

Which postulate or theorem proves that these two triangles are

congruent?

O ASA Congruence Postulate

А

SAS Congruence Postulate

OHL Congruence Theorem

AAS Congruence Theorem

Answers

Please attach an image so I can help you. Thanks

These triangles are congruent by the AAS Congruence Theorem.

What is Congruence Theorem?

Congruence Theorem states that if two triangles have congruent corresponding parts then they are congruent.

Given is a figure, we need to find that which theorem proves that these two triangles are congruent

In Δ MNR and Δ QNP

∠ MNR = ∠ QNP (Vertically opposite angle property)

∠ RMN = ∠ QPN (Corresponding angle property)

RN = NQ (As given in the diagram)

Therefore,

Δ MNR ≅ Δ QNP by AAS rule

Hence proved

Learn more about Congruence Theorem, click;

https://brainly.com/question/19258025

#SPJ7

The figure is not given, so the question has been solved for the attached one.

first to answer get brainliest thankss :)

Answers

Answer:

47

Step-by-step explanation:

First, we find angle 2. It is a supplementary angle with that 104 exterior so we take 180-104=76. Angle 2 is 76.

Now that we have two angles of the triangle, we can set up the equation:

76+57+x=180

we have 180 because all three angles of any triangle equal 180.

solving for x:

simplify the equation, (x)+(76+57)=180

combine like terms, x+133=180

Subtract 133,  180−133=47

x=47.

Other Questions
Someone please help me. I will give Brainliest. No links, please. How does Concert Etiquette help others enjoy a concert? when a manufacturer sells its products directly to consumers, it engages in which two supply-chain activities? Hey bab3s! How do you punctuate the title of an article in your paper's title?That's kinda confusing so for example: Response to (title of article I'm responding to)Would you italicize it, put it in quotation marks, or leave it blank? Cause i dunno and G00gle ain't helpin me :(Thank you! Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find H(x+a) - H(x)/a The maximum allowable potential difference across a 250 mH inductor is 360 V . You need to raise the current through the inductor from 1.5 A to 2.5 A . What is the minimum time you should allow for changing the current? Which equation represents a line which is parallel to the line y=1/5x -15x +y =3X+ 5y =105y - x = -205x - y = -3 Do you think you could use a multiply a 4 digit number by a 1 digit number Use the given information to find the indicated measure m1. m x2-4x+6=0 Someone help with solve this White-tailed deer raise their tails when they spot a predator approaching; the predator typically gives up its pursuit once it knows that the faster prey species has seen it. This is an example of Describe what China was like during the Spring and Autumn and Warring States periods. It is predicted that the value of a home will decrease by a rate of 4.6% annually due to a recent recession. Today, the value of the home is $185,000. What is the predicted value of the home in 6 years? What is the slope of this line?51/5-5-1/5quick please What is the value of x? Enter your answer in the box. x = Higher product taxes and costly regulations willA. Increase SupplyB. Supply/Demand EquilibriumC. Decrease Supply CIVICSWhat gives residents of a state or country full legal rights?courtselectionscitizenshipdemocracy Gender roles and gender stereotypes areA. the same thing.B. decided on by individuals.C. decided on by society.D. more important than a person's gender identity.E. Other: Anatomy of the bone. The bone is made up of compact bone, spongy bone, and bone marrow. Compact bone makes up the outer layer of the bone. Spongy bone is found mostly at the ends of bones and contains red marrow. Bone marrow is found in the center of most bones and has many blood vessels. There are two types of bone marrow: red and yellow. Red marrow contains blood stem cells that can become red blood cells, white blood cells, or platelets. Yellow marrow is made mostly of fat that means what a red bone marrow contains? _______________________(the one who gives the correct ans first is the brainliest) Helpppppppppppppppppppp