Amy hikes 6 miles from a ranger station to a waterfall and back again. She hikes 1 mile/hour faster on the way back. Function represents Amy's total time spent hiking,
and x represents amy's hiking speed in miles/hour
Answers
It is the time it takes Amy to hike to the waterfall.
The term [tex]\frac{6}{x}[/tex] describes the time it takes Amy to hike to the waterfall.
The correct answer is an option (C)
What is speed?"It is defined as the distance traveled per unit times."
What is relation?"It defines a relation between input values and output values."
For given example,
Amy hikes 6 miles from a ranger station to a waterfall and back again. She hikes 1 mile/hour faster on the way back.
we have been given a function [tex]T(x)=\frac{6}{x}+\frac{6}{x+1}[/tex]
This function represents Amy's total time spent hiking,
and x represents Amy's hiking speed in miles/hour.
Let 't' be the time required to reach Amy from ranger hills to a waterfall.
As 'x' represents Amy's hiking speed in miles/hour and Amy hikes 6 miles from a ranger station to a waterfall.
Using the formula of speed,
⇒ x = 6/t
⇒ t = 6/x
Therefore, the term [tex]\frac{6}{x}[/tex] describes the time it takes Amy to hike to the waterfall.
The correct answer is an option (C)
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Related Questions
i need help please someone help?
Answers
______________________________
1.) Fill in the formula with the information given:Formula = [tex]\sf{L}[/tex] × [tex]\sf{W}[/tex]Filled in Formula = [tex]19[/tex] × [tex]9[/tex]2.) Multiply:[tex]19[/tex] × [tex]9=171[/tex]
So your answer is [tex]\bold{171^2}[/tex].
______________________________
In triangle MNP, side m is 54.5 inches, side n is 51.4 inches, and side p is 60 inches long. What is the measure of P?
Answers
Answer:
P = 68.95
Step-by-step explanation:
Here, we want to get the measure of angle P
Please check the attachment for the diagram of the triangle
To get P, we use the cosine rule
p^2 = m^2 + n^2 - 2mn Cos P
60^2 = 51.4^2 + 54.5^2 -2(51.4)(54.5) Cos P
2012.21 = 5602.6 Cos P
cos P = 2012.21/5602.6
cos P = 0.3592
P = arc cos 0.3592
P = 68.95
A car rental company’s standard charge includes an initial fee plus an additional fee for each mile driven. the standard charge S (in dollars) is given by the function S = 0.40M +18.95, where M is the number of miles driven.
The company also offers an option to ensure the car against damage. The insurance charge I (in dollars) is given by the function I= 0.15 M + 5.70
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
C=
What does ac equal?? ^^
Answers
Answer:
C=0.55M+24.65
Step-by-step explanation:
0.40M+0.15M=0.55M
18.95+5.70=24.65
What is the approximate area of the circle shown below?
Answers
Answer:
c
Step-by-step explanation:
PLS HELP ME! Joye has a circular garden with a diameter of 24 feet. If she uses 2 cups of fertilizer for every 10 square feet, how much fertilizer will Joye use for her garden? Use 3.14 for pi
Answers
Answer:
90.5 cups
Step-by-step explanation:
Step one:
Given data
diameter= 24ft
radius= 12 ft
area= πr^2
Area= 3.142*12^2
Area= 3.142*144
Area= 452.448 ft^2
Hence if
2 cups of fertilizer for every 10 square feet
x cups will do for 452.448 ft^2
cross multiply we have
x= 452.448 *2/10
x=904.896/10
x=90.5 cups
What is 47 rounded up by a factor of 10
Answers
Answer:
50...?
Step-by-step explanation:
HELPP!!!!
Solving for the Missing Variable
Ex. 1 Determine the range of possible values of x,
Answers
9514 1404 393
Answer:
21 ≤ x < 48.3343
19.4030 < t ≤ 62 1/3
Step-by-step explanation:
This sort of geometry has shown up in a number of different problems. Perhaps the most difficult was one in which the angles were given a specific linear relationship. Here, one of the angles is fixed, making the problem somewhat simpler.
The most straightforward approach is to simply say the unknown angle must lie between 0° and 180°. It turns out that is not the possible range of values. Rather there is a limit on the unknown angle. It will have an extreme value when both triangles are isosceles. The lengths of the equal sides in that case can be determined using the triangle with both angle and base length specified.
__
a) For the triangle to be isosceles (MA = MH = MY), the side lengths must satisfy ...
AM·sin(62°/2) = 7.1/2
AM = 3.55/sin(31°) ≈ 6.89269
At that point, angle HMY will satisfy ...
AM = (6.33/2)/sin((2x -42)°/2)
3.55/sin(31°) = 3.165/sin(x-21°)
(x -21)° = arcsin(3.165/3.55·sin(31°)) ≈ 27.3343°
x = 48.3343
Because angle HMY can be smaller than this value, its minimum is 0:
2x -42 = 0
x -21 = 0
x = 21
That is, x can range between 21 and 48.3343.
__
b) Using similar logic on the other triangles, we find the unknown angle has an extreme value when the triangles are isosceles: CA = CB = CD = CD. As above, this will occur when ...
(3t -7)° = 2·arcsin(17/16·sin(24°)) ≈ 51.2091°
t = 19.4030
In this geometry, because AB > DE, the angle can only get larger than 51.2091°. Its upper limit is 180°, meaning that ...
3t -7 ≤ 180
3t ≤ 187
t ≤ 62 1/3
In this geometry, the value of t can range between 19.4030 and 62 1/3.
_____
Additional comment
As we said at the beginning, your computer may be expecting you to come up with an answer that makes the unknown angle lie between 0 and 180°. For that range of angles, you have ...
0 ≤ 2x-42 ≤ 180 ⇒ 0 ≤ x -21 ≤ 90 ⇒ 21 ≤ x ≤ 111
0 ≤ 3t -7 ≤ 180 ⇒ 0 ≤ t -7/3 ≤ 60 ⇒ 7/3 ≤ t ≤ 187/3
Please help!!! I need help solving just this one question and then I’ll be finished with this homework!!!
Answers
The polynomial p(x) = 5x^3 – 9x^2 - 6x + 8 has a known factor of (x + 1).
Rewrite p(x) as a product of linear factors.
Answers
Answer:
[tex](x+1)(5x-4)(x-2)[/tex]
Step-by-step explanation:
We know that (x+1) is a factor, so we can use synthetic division to factor it out of [tex]5x^3-9x^2-6x+8[/tex].
Once factored, we get [tex](x+1)(5x^2-14x+8)[/tex]
Now all we need to do is factor[tex](5x^2-14x+8)[/tex]
[tex](5x^2-14x+8)=(5x-4)(x-2)[/tex]
This gives us the answer [tex](x+1)(5x-4)(x-2)[/tex].
p(x) as a product of its linear factors is:
[tex]p(x) = (x+1)(x-2)(5x-4)[/tex]
The given polynomial is:
[tex]p(x) = 5x^3-9x^2-6x+8[/tex]
The divisor = x + 1
The division expression can be written as:
[tex]\frac{5x^3 - 9x^2 -6x + 8 }{x+1} \\\\= 5x^2-14x+8[/tex]
Factorize [tex]5x^2-14x+8[/tex]
[tex]5x^2-14x+8\\\\5x^2-10x-4x+8\\\\5x(x-2)-4(x-2)\\\\(5x-4)(x-2)[/tex]
Therefore, p(x) as a product of its linear factors is written as:
[tex]p(x) = (x+1)(x-2)(5x-4)[/tex]
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Transversal d intersects lines e and f to form 8 angles. The angles formed with line e, clockwise from top left, are 35 degrees, blank, 6, blank. The angles formed with line f, clockwise from top left are 5, 57 degrees, blank, 4. For the diagram shown, find the measures of angles 4, 5, and 6. m∠4 = degrees m∠5 = degrees m∠6 = degrees
Answers
A is the answer on edge
Answer:
d a c
Step-by-step explanation:
Pls help it due ASAP
Please show workings
Answers
GIVING BRAINLIEST PLEASE HELP
Answers
Answer:
The answer is B
Step-by-step explanation:
Answer:
ans is B sorry if it's direct
a photocopier can make 20 copies per minute. which equation can be used to find m, the number of minutes the copier takes to make 75 copies
a. 20m = 75
b. 75m = 20
c. m/20 = 75
d. 20/m = 75
Answers
Answer:
It's Option'A' i.e 20m=75
Step-by-step explanation:
or,m=75/20
or,m=3.75
I NEEEEEEEEEEEEEEEEEEEEEEEEEEEED HEEEEEEEEEEEEEEEELLLLLLLPPPPPPP
Answers
Answer:
(3,-5)
Step-by-step explanation:
its the last answer
Answer:
(3,-5)
Step-by-step explanation:
Hi there!
Since the dot is in the fourth quadrant, our x value will have to be positive. If the value was negative, it would be in the third quadrant.
If you think about the dot’s relation to the y axis, it is below the point of origin, or y = 0, so the y-value will have to be negative.
The only answer that fits this criteria is (3,-5)
I hope this helps!
need help on this thanks
Answers
Answer:
8
Step-by-step explanation:
Easy Area problem
Need it fast
Answers
Answer:
just subtract the area of the rectangle from the area of the carpet
fine I'll do it
Area of a rectangle= lb
Area of a square= a^2
Area of the remaining area= lb - a^2
= (12*4) - (2*2)
= 48-4
= 44 ft^2
Three friends went to the batting cage. Cameron made 36 hits, Austin made 14 hits, and Jordan made 24 hits. How many hits did the three make in all?
A.
60
B.
50
C.
38
D.
74
Answers
Answer:
36+14+24=74
Step-by-step explanation:
How i figured it out is if you add 36+14 that equals 50 and 50+24=74
that is your answer.
hope this helps;)
A square target is shown. A dart is dropped randomly onto the target. The dart is equally kely to hit any spot on the target
18 cm
3 cm
18 cm
3 cm
not drawn to scale
What is the probability that the dart will hit a spot in the shaded square?
och
D
Answers
Probability helps us to know the chances of an event occurring. The probability that the dart will hit a spot in the shaded square is 0.028.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The area of the dark area = 3cm × 3cm = 9cm²
The area of the white area = (18cm×18cm)-(3cm×3cm) = 315cm²
Now, the probability that the dart will hit a spot in the shaded square will be,
Probability = 9 / 315 = 0.028
Hence, the probability that the dart will hit a spot in the shaded square is 0.028.
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Write the equation of the line pleaseeee
Answers
Answer:
y = 2/3x -1
Step-by-step explanation:
y intersect is -1 as that's where the line passes the y axis
the slope can be found by finding two points and using the slope formula (y-y)/(x-x)
Please help 30 points
A recursive definition of an arithmetic sequence is shown below.
a = 7
an = an-1 + 3
Which of the following expressions represents the nth term of this sequence?
A. Ont3
B.
3n + 4
C.O3n +7
D.O7n +3
Answers
Simplify the expression. (Picture attached)
Answers
Item 1
Question 1
Solve 52x>5. Graph the solution.
Answers
HELP PLZZZZ like asap
Answers
Answer:
The answer is B
Step-by-step explanation:
✌
Answer:
B
Step-by-step explanation:
You can substitute the variables for the values!
7x = 21
3y = -6
2x = 6
y = -2
21 - (-6)
----------
6 + (-2)
27
----
4
The graph of a linear function is shown on the coordinate grid. (TEKS 8.4C-R) What is the y-intercept of the graph of the linear function?
Answers
The y axis intercepts the linear function at positive 3
Times it by 6 and take away 10 and the result is 44
Answers
Answer:
(for your second question) 23.69
Step-by-step explanation:
Which of the following is closest to the solution to the problem below
(20 3/7) (14)
Answers
Answer:
i need more details then this its not really explaining anything
Step-by-step explanation:
Plz help due tomorrow
Answers
Answer:
Step-by-step explanation:
4h/5
1/9x=5
solve for x
please show step by step
Answers
Answer:
x=1/45
Step-by-step explanation:
do the inverse
please mark it as brainliest!!<3
Ms. Webb bought 3 sparkly markers that are $1.20 each and 4 glitter glue sticks that are $1.05 each. These were on sale for 25% off. What is the discount amount?
Answers
Answer:
5.85 is the total after the discount. The amount taken off is 1.95.
Step-by-step explanation:
ABCD is an isosceles trapezoid. m < A = 6x + 12 and m < D = 2x + 20. angles B&C are congruent.
what is the measure of angles B&C?
Answers
Answer:
156°
Step-by-step explanation: