The function f(x) equals the number of feet above sea level a rock climber is at x
minutes. After 45 minutes the climber reaches his maximum height of 800ft. above
sea level. He stays on the mountain for 2 hours.
What is the practical domain of f(x)?

Answers

Answer 1

For the function f(x), the practical domain will be [0 min, 165 min]

What is the practical domain?

We define the practical domain as the section of the domain that has practical meaning.

In this case, the part of the domain that we care about is only when the rock climber is on the mountain.

In this case, we assume that the climb starts at x = 0 minutes.After 45 minutes, the climber reaches the top, at x = 45 minutes.And the climber stays on the mountain for 2 hours more, until x = 120 min + 45 min = 165 minutes.

After that, the function does not work anymore, then the practical domain will be [0 min, 165 min]

If you want to learn more about domains, you can read:

https://brainly.com/question/1770447


Related Questions

When you use a (______________), you pay for your purchases later.
A credit card
B checking account
C deposit
D credit score

Answers

Answer:

A. credit card

Step-by-step explanation:

When using a credit card, the bank is paying for you. Overtime through bills you will pay that amount back usually with interest.

Simplify.

2 × (3 – 1) + 3

Answers

Answer:

7

Step-by-step explanation:

do what is in the parenthesis first then multiply then add

A shop increases all their prices by 9% A picture frame increases by £153 Find the new price of the picture frame.

Answers

The new price of the picture frame is  £1853

Discounts and increments

Given the following parameters

Percentage increase =  9%

Increment = £153

Determine the original value if the frame

9% of x = £153

0.09x = £153

x = £153/0.09
x = £1700

New price = £1700  + £153
New price = £1853

Hence the new price of the picture frame is  £1853

Learn more on discount here; https://brainly.com/question/1548141

need some help with these questions in the image ​

Answers

a. answer:_77

2_ (7 * 9) _ 16

2_ (63) _16

_61_16

_77

HELP ME PLS. brainy reward it is about hangers.
The Problem: 20/3x = 5(x+1/2) + 4/3

20/3 , 1/2 , 4/3 are fractions. Solve for x

Answers

Answer:

x=23/10

Step-by-step explanation:

the dash is a fraction

1. What is the magnitude and direction of RS with tail and head points R(4, -6) and S(-2, 1)?
a.9.2 units, 49.4° south of east
b.10.4 units, 40.6 ° south of east
c.9.2 units, 49.4 ° north of west
d. 10.4 units, 40.6 ° north of west

Answers

The magnitude and the direction of the vector formed by (4, 6) and (-2, 1) are [tex]\sqrt{85}[/tex] (approx. 9.2 units) and 49.4° north of west. (Correct choice: C)

How to find the magnitude and the direction of a vector

First, we need to determine the expression of [tex]\overrightarrow {RS}[/tex] by vector sum:

[tex]\overrightarrow{RS} = S(x,y) - R(x,y)[/tex]

[tex]\overrightarrow{RS} = (-2, 1) - (4, -6)[/tex]

[tex]\overrightarrow {RS} = (-6, 7)[/tex]

The magnitude and the direction of the vector are determined by Pythagorean theorem and inverse trigonometric functions, respectively:

Magnitude

[tex]\|\overrightarrow{RS}\| = \sqrt{(-6)^{2}+7^{2}}[/tex]

[tex]\|\overrightarrow{RS} \| = \sqrt{85}[/tex]

Direction

θ = tan⁻¹ (7/-6)

θ ≈ 130.601°

The magnitude and the direction of the vector formed by (4, 6) and (-2, 1) are [tex]\sqrt{85}[/tex] (approx. 9.2 units) and 49.4° north of west. (Correct choice: C) [tex]\blacksquare[/tex]

To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477

Write an expression equivalent to 6 — 2.2 +5+ 4. that only has two
terms.

Answers

Answer:

3.8 + 9?

Step-by-step explanation:

type of angle that has the sallest measure

Answers

Answer: acute angle

Step-by-step explanation: acute angle is the smallest starting from 0 to 90 DDegrees .

Acute angle because it is anything smaller than 90 degrees

The question is in the attachment.

Answers

Answer:

0.0816

Step-by-step explanation:

Given:

Total number of students = 5000Number of students taking an online class = 1200Number of students prefer watching baseball to football = 1700

Let O = Students taking an online class

Let B = Students prefer watching baseball to football

Therefore,

P(O) = 1200/5000 = 0.24

P(B) = 1700/5000 = 0.34

If events O and B are independent,

⇒ P(O ∩ B) = P(O) · P(B)

                   = 0.24 × 0.34

                   = 0.0816

Find the measure of

Answers

The answer would be 92 for both.

Explanation: the ) like marking in both symbolizes that both

No links no files, please help! I'll give brainest!

Answers

Answer:

A = 35 units²

Step-by-step explanation:

Calculate the area of the larger and smaller rectangle and subtract the smaller from the larger.

The formula of an area of a rectangle a x b:

A = a · b

Smaller rectangle 5 x 7:

As = 5 · 7 = 35

Larger rectangle (2 + 5) x (7 + 3) → 7 x 10:

Al = 7 · 10 = 70

The area of the shaded region:

A = Al - As

substitute:

A = 70 - 35 = 35

Will choose Brainliest.
Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each of them ate 6 cookies from their bag. The product of the number of cookies left in each bag is not more than 80.

How many more cookies will Jessica have than Martha?

If x represents the number of cookies Jessica started with, complete the statements below.

The inequality that describes the relationship between the number of cookies each one of them has is x^2- _ x + 224 ≥ 0
Jessica has at least
_ cookies more than Martha.

Answers

That part is total cookies as per algebraic formula x^2-(a+b)x+ab=0

Hence

The inequality is

[tex]\\ \rm\rightarrowtail x^2-30x+224>=0[/tex]

[tex]\\ \rm\rightarrowtail (x-14)(x-16)>=0[/tex]

[tex]\\ \rm\rightarrowtail 14\leqslant x\leqslant 16[/tex]

Solution range

[14,16]

Atleast means the range

16-142

Atleast 2 more than Martha

Which of the following linear equations represents the data chart?

Answers

Answer:

option C

Step-by-step explanation:

y = -x + 7

Hope this helps you

change 1.77 tones to kilograms

Answers

Answer:

1.77 Tones = 1770 Kilograms

Step-by-step explanation:

Multiply the value of the tone by 1000 to get KG

1.77 x 1000 = 1770

1770 kilograms
Multiply the mass value by 1000

Select the expression equivalent to (4.5x + 3.1) - (-3x - 5).
a
7.5x + 1.9
b
7.5x - 1.9
7.5x + 8.1
d.
7.7x - 1.9

Answers

Answer:

Option C :- 7.5x + 8.1

Step-by-step explanation:

Let's simplify step-by-step.

4.5x+3.1−(−3x−5)

Distribute the Negative Sign:

=4.5x+3.1+−1(−3x−5)

=4.5x+3.1+−1(−3x)+(−1)(−5)

=4.5x+3.1+3x+5

Combine Like Terms:

=4.5x+3.1+3x+5

=(4.5x+3x)+(3.1+5)

=7.5x+8.1

Answer:

=7.5x+8.1

Please help me yall I am so done with hw

Answers

Cities are pretty far from each other so you would have to use miles

Answer: the answer is d which is Miles .

Step-by-step explanation: it is Miles because there is a far distance bbetween Cities .HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .

How may you rethink the way you choose people in a group? No links please or I will report you. The best explanation gets Brainliest!

Answers

Step-by-step explanation:

How to rethink the way you choose people in a group is to figure out if they like you or not. Don't chose people that do not like you because they will not work well with you. Pick the people you feel will help you succeed in the group. And sometimes the people you pick in your group aren't even your friend, but they can help you succeed by staying on task and focusing on the task at hand.

A number line going from negative 10 to positive 10. Use the number line to help you answer the question. Which statements are true? Check all that apply. –4 < –8 |–4| < |–8| |–5| > 1 –5 > |1| |–2| = |2|

Answers

Answer:

2. |-4| < |-8|

3. |-5| > 1

5. |-2| = |2|

Answer:

2,3,5 are correct

Step-by-step explanation:

i took the test

If there are 40% of girls and 250 are boys, find
(i) the total number of students
(ii) the number of girls.​

Answers

Step-by-step answer:

If there are 40% students that are girls , and the rest are 250 boys. Then that must mean there are 60% boys. Because that is the compliment.

i)

Because we know that 60% of the people in the group are boys, and that the amount of boys amounts to 250, we can model an equation like this.

[tex]Total * 0.6 = 250[/tex].

[tex]Total = 250/0.6[/tex]

[tex]Total = 417[/tex]

There are 417 students

ii)

Because we know that the total amount is 417, we can find the amount of girls there are by multiplying the total by the percentage.

[tex]417 * 0.4 = 167[/tex]

There are 167 students that are girls.

pls help with this Its on ixl

Answers

Answer:

142 cm squared

Step-by-step explanation:

the formula used was 2(lw + wh +lh)

where l is length

w is width

and h is height

Answer:

142

Step-by-step explanation:

5 x 3 = 15 Times by 2 = 30

7 x 5 = 35 Times by 2 = 70

7 x 3 = 21 Times by 2 = 42

There are 63 female performers in a dance recital. the ratio of men to women is 5:9. how many men are in the dance recital?

Answers

In d ratio 5:9 which equals 5+9=14
the total female performers is 63
For men = 5/14*63=5/2*9
=45/2 =22.5
The men would be about 22.5 in the dance recital

Tony is working on an arithmetic sequence where t(1) =4 and t(8) =67 Write the explicit equation and recursive equation for this sequence. Is 500 a term of the sequence? Explain why or why not.

Answers

Assuming t(1) is our first term, we can say:

t(2)=t(1)+dt(3)=t(2)+dt(4)=t(3)+d

This can go on forever, we can then establish the recursive formula which states:

t(n+1)=t(n)+dort(n)=t(n-1)+d

Explicit formula:

t(2)=t(1)+d

t(3)=t(2)+d, but t(2)=t(1)+d

t(3)=t(1)+d+d

t(3)=t(1)+2d

t(4)=t(1)+3d

t(n)=t(1)+(n-1)d

We can calculate d for these equations:

t(8)=t(1)+7d67=4+7d7d=63d=9

Explicit relation:t(n)=4+9(n-1)t(n)=9n-5

Recursive relation:

t(n)=t(n-1)+9

t(500)=9(500)-5=4500-5=4495

X + 4y = 7 4x - 3y = 9 equivalent equation and solution

Answers

Answer:

x = 3, y = 1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}x+4y=7\\ 4x-3y=9\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=7-4y[/tex]

[tex]\begin{bmatrix}4\left(7-4y\right)-3y=9\end{bmatrix}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\begin{bmatrix}28-19y=9\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=7-4y[/tex]

[tex]\mathrm{Substitute\:}y=1[/tex]

[tex]x=7-4\cdot \:1[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=3[/tex]

[tex]\mathrm{The\:Answer\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=3,y=1[/tex]

Check Answer:

3 + 4(1)

7 (1) = 7

True

4(3) - 3(1)

12 - 3 = 9

True

Hence, x = 3 , y =1

~lenvy~

can you help me pls? i need it

Answers

Answer:

$168.75

Step-by-step explanation:

In the morning you'll have a time of about 4 hours.

In the afternoon you'll have 8.5 hours.

You take these and add them together 4 + 8.5 = 12.5

Then you take your sum and multiply it by the wage you make per hour 13.50 x 12.5 = $168.75

The students in a class collected data on the number of minutes some of them spend
brushing their teeth every day. That data is shown in the dot plot below.


What was the median number of minutes students brushed
their teeth?

Answers

Answer:

2.5

Step-by-step explanation:

BASED ON GIVEN DATA:

⇒ 2 STUDENTS SPENT 2.5 (2 1/2) MINUTES

⇒ 1 STUDENT SPENT 3 MINUTES
⇒ 1 STUDENT SPENT 4.5 MINUTES

THE MOST COMMON AMOUNT OF TIME TAKEN IS 2.5 MINUTES BECAUSE OF THE 2 STUDENTS.

Answer:  0.5  minutes

Step-by-step explanation:  

can you help me figure this out?

Answers

Answer:

  D.  $8 per hour

Step-by-step explanation:

The rate of pay is found by dividing the pay by the number of hours it is for.

  $40/(5 h) = $8/h

The worker gets paid $8 per hour.

∠C and ∠D are complementary.

Let m∠C=(8x)° and m∠D=(5x−1)°.

What is the value of x?

Enter your answer in the box.

x =

Answers

Answer:

x = 7

Step-by-step explanation:

Complementary angles are angles that add up to 90°.

We have C and D as complementary.

Their sum is:

m∠C + m∠D = 90

Substitute values and solve for x:

8x + 5x - 1 = 9013x = 90 + 113x = 91x = 91/13x = 7

Answer:

x = 7

Step-by-step explanation:

Complementary angles are two angles that sum up to 90°. In this case, we are given that ∠C and ∠D are complementary. This means that the sum of ∠C and ∠D is equivalent to 90°.

⇒ ∠C + ∠D = 90°

⇒ 8x + 5x - 1 = 90°                                                          [∠C = 8x; ∠D = 5x - 1]

⇒ 13x - 1 = 90°

⇒ 13x = 90 + 1

⇒ 13x = 91

⇒ 13x/13 = 91/13

x = 91/13 = 7

(Little tricky; worth extra points )

Which series of transformations shows that pentagon A is congruent to Pentagon B?


A. Reflect pentagon A over the y-axis, rotate it 180 degrees clockwise about the origin, and translate it 3 units up

B. Rotate pentagon A 90 degrees clockwise about the point (1,1) reflect it over the x-axis, and translate it 3 units to the left.

C. Rotate pentagon A 90 degrees clockwise about the origin, reflect it over the x- axis, and translate it 6 units to the left.

D. Reflect pentagon A over the y-axis and translate it 2 units to the left and 8 units up.

Answers

Answer:

i am pretty sure it's A or B

Step-by-step explanation:

hope this helps

→(·°ω°·)←

sin^-1(√3-1/2√2)
please give me answer ​

Answers

use a calculator and the correct answer is 0.019134405

and then round off the that answer into 2 significant number

sin^-1(√3-1/2√2)

please give me answer

Inscribed angle
Help please

Answers

Answer:

x = 3

Step-by-step explanation:

The measure of the inscribed angle is half of measure of the intercepted arc .

Find the half of 192.

192/2 = 96

The inscribed angle is 96°.

Create an equation and solve for x.

31x + 3 = 96

31x + 3 - 3 = 96 - 3

31X = 93

31x/31 = 93/31

x = 3

Other Questions
Lee watches TV for 4 hours per day. During that time, the TV consumes 150 watts per hour. Electricity costs (10 cents)/(1 kilowatt-hour). How much does Lee's TV cost to operate for a month of 30 days? I have my last 3 electrons on the third energy level. The narrators from excerpt from bloomability and excerpt from secrets of cicada summer face similar problems. what problems do the narrators face.how are these problems similar, and how are they are different : A group of 28 people bought tickets to a museum. The total cost for the tickets was $315. What was the cost of each ticket? 1/2(x-1/6)+2/3=5/6+1/3*(1/2-3x) Work out the length of x.Give your answer rounded to 3 significant figures.16.5 mm6.6 mm What are the two conditions for equilibrium of a rigid body? how would this experiment demonstrate their validity?. Using open body language helps send which kind of message?. What is huggies? XD do some people on brainly require this? Handshakes should be:O firmo looseO repeatedo accompanied by eye contact Please answer this question The use of evaporation and condensation to separate the partsof a mixture is called _____ A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline?33 miles83 miles120 miles270 miles the table shows the letter grades in science class for a random sample of 300 sixth grade students. Find the relative frequency for each letter grade to complete the table. Use pencil and paper. What additional information does the relative frequency give that the frequency doesn't? Explain. Which two statements about the Mercator projection shown here are true? It shows lines of longitude at different distances from one another. It was developed primarily as a navigational tool for sailing. It exaggerates the size of countries near the poles. It is an example of a planar projection. what was the most significant negative effect and the most significant positive effect of imperialism on Africa and explain why for both An object when placed in front of convex lens forms a real image of 0.5 magnification. If the distance of the image from the lens is 24 cm, Calculate Focal Length of Lens. Please help !!!! Im desperate people. A square with side length s has an area of 324 square centimeters. This equation shows the area of the square ^{s^2}is 324 Which of the following expressions are equivalent to 6 + (-4) - 56+(4)56, plus, left parenthesis, minus, 4, right parenthesis, minus, 5?Choose 2 answers:Choose 2 answers:(Choice A)A-(-6+4)-5(6+4)5minus left parenthesis, minus, 6, plus, 4, right parenthesis, minus, 5(Choice B)B6-4-(-5)64(5)6, minus, 4, minus, left parenthesis, minus, 5, right parenthesis(Choice C)C6-(4+5)6(4+5)6, minus, left parenthesis, 4, plus, 5, right parenthesis(Choice D)D6+4-56+456, plus, 4, minus, 5(Choice E)E-(-6)+(-4)-(-5)(6)+(4)(5)