Jana is on a two-day hike. The function graphed shows the total distance she hiked, in miles, after x hours on the second day.
Select from the drop-down menus to correctly identify the information about Jana's hike provided by the graph.
Answers
The slope is 2.
The slope represents the number of miles hiked every hour.
Answer:
The slope is 2.
Step-by-step explanation:
The function graphed shows the total distance she hiked, in miles, after x hours on the second day.
Seeing at the graph, we have the following points.
(2,8) , (3,10) , (4,12)
For slope we will do the following.
[tex]\frac{10-8}{3-2} =\frac{2}{1}[/tex] = 2
[tex]\frac{12-10}{4-3} =\frac{2}{1}[/tex] = 2
So, the slope is 2.
The slope represents that 2 miles is hiked in each hour.
Related Questions
Solve for x: |2x + 12| = 18
Answers
18 - 12 = 6
2x = 6
x = 3
2x + 12 = 18 OR 2x + 12 = -18
subtract both sides by 12 for both equations
2x = 6 OR 2x = -30
divide both sides by 2 for both equations
x = 3 OR x = -15
i hope this helps!!
Θ is an acute angle and cosecant theta equals nine halves commacscθ= 9 2, find secant ((pi over 2) minus theta) .sec π 2−θ. do not use a calculator and express
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What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?
24.8 units
27.8 units
28.5 units
30.9 units
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Left side: This side is easiest - it's a straight vertical line that's 8 units long.
Top side: If you look carefully, this side is really the hypotenuse of a triangle that is 5 units tall and 9 units long. Using the Pythagorean Theorem, you can calculate the length of the hypotenuse to be 5^2 + 9^2 = c^2 --> c = 10.3
Bottom side: Just like the top side, this side is the hypotenuse of a triangle that is 3 units tall and 9 units long. Pythagoras again: 3^2 + 9^2 = c^2 --> c = 9.5
Add these sides up for the final perimeter: 8 + 10.3 + 9.5 = 27.8
Answer:
The answer would be 27.8
Your survey indicates the following favorite beverage choices: 20 milk, 13 water, 22 soda, 32 coffee. What percentage of customers can you satisfy if you just serve milk or water?
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33 out of (/) 87 = 33/87=0.379 or 0.38 or 38% :)
work: 20+13=33 +(22+32)=87
87 x .33 = 28.71
Mrs. Noyes fills up a 5 gallon can of gas from the McIntosh’s local convenience store. They are selling gas at $2.099 a gallon. How much is she going to pay at the pump
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FOR 30 POINTS WILL MARK BRAINLIEST you have 500 sheets of notebook paper after one week you have 72% of the sheets left. you use the same number of sheets each week write an equation that represents the number y of pages remaining after 8 weeks
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2. Pat is six years older than twice his Cousin Zach’s age. The sum of their ages is less than 36.
What is the greatest age that Zach could be?
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C = Cousin Zach
2C + 6 = P
2C + 6 - 6= P - 6
2C = P - 6
2C/2 = P - 6/2
C = P - 3
C + 3 = P
so (C + 3) + P < 36
(C + 3 - 3) + P < 36 - 3
C + P < 33
Can you see what I am doing?
We know the following facts:
1.Pat is six years older than twice his Cousin Zach’s age. We can rewrite this statement as:
P=2*Z+6
2. The sum of their ages is less than 36.
P+Z<36
In order to find the greatest age that Zach could be we should find for which Z
P+Z=35 (the first whole number smaller than 36)
P=35-Z
35-Z=2*Z+6
35-6=3Z
29=3Z
Z=29/3
Z=9
What is an equation of the line that passes through the points (1 3) and (8 5)? y+1+2/7(x+3), y-5=2/7(x-8), y-1=2/7(x+3), y+5=2/7(x-8)?
Answers
The line passes through the points (1, 3) and (8,5).
Let the equation of the line be
y - y₁= m(x - x₁)
where
(x₁, y₁) is a point on the line.
Calculate the slope of the line.
m = (5 - 3)/(8 - 1) = 2/7
Therefore, if we use (x₁, y₁) = (8, 5), then
y - 5 = (2/7)(x - 8)
Answer: [tex]y-5= \frac{2}{7}(x-8) [/tex]
The solution to the equation 4(x – 7) = 64 is shown. Which step is a result of combining like terms?
A) Step 2
B) Step 3
C) Step 4
D) Step 5
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Answer: C) step 4
Kevin's bucket contains 2 1/2 gal of water. If he gives his horse 2/3 of the water, how much water does the horse get?
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2/3 of the 2.5 Gallons = 1.67 Gallons of water is the amount the horse will get :)
Answer:
2.5
Step-by-step explanation:
what is the vertex of the graph of the function below y=x^2-10x+21
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need help with this geometry question, solving for x and please explain the formula for this
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Calculate the loss on selling 50 shares of stock originally bought at 13 and 3/4 and sold at 12
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The cost of purchasing the stock is
(50 shares)*(13.75 $/share) = $687.50
The revenue generated by selling the 50 shares at $12 per share is
(50 shares)*(12 $/share) = $600.00
Gain = 600.00 - 687.50 = - $87.50
The loss is $87.50
Answer: $87.50
Two trains leave a station at 11:00am. one train travels north at a rate of 75 mph and another travels east at a rate of 60 mph. assuming the trains do not stop, about how many minutes will it take for the trains to be 150 miles apart
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Evaluate the determination for the following matrix [144] [522] [155]
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1 4 4
5 2 2
1 5 5
=> Determinant =
1 * (2*5 - 2*5) - 4 * (5*5 - 1*2) + 4 * ( 5*5 - 2*1)
= 1*(10 - 10) - 4*(25 - 2) + 4*(25 -2) = 1*0 + 4* 23 + 4*(25 - 2) = 0 - 4*23 + 4*23 = 0
Answer: 0
what is the constant rate of change of y=7-13x
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The constant rate of change in the linear equation y=7-13x is -13, representing the slope of the line which remains constant for any value of x. This is different from nonlinear functions, where the rate can vary with x.
Explanation:The constant rate of change in the equation y=7-13x refers to the slope of the line represented by this linear equation. In this case, the constant rate of change, or the slope, is -13. This means for every one unit increase in x, y decreases by 13 units. Since the equation is linear, this rate does not change regardless of the value of x, unlike in nonlinear functions where the rate of change can vary with x.
To elaborate, if we have a nonlinear function, the rate of change depends on the interval of x we are looking at. For a linear function like this one, the slope is the same over any interval, so there's no need to compute it over smaller ranges of x to understand the rate of change.
Moreover, in calculus, the derivative represents the rate of change, and for a linear function, the derivative is simply the coefficient of x. Hence, the derivative of y with respect to x is -13. The derivative is zero for any constant term in a function, such as the 7 in the given equation.
This writing prompts is hard
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b.) You know your answer is correct because you're adding the two polynomials together. 9x^2+6x^2 is 1tx^2. Now you have 2x-5x and since the negative is bigger, you get -3x. Then 5+4 is 9. You have no like terms therefore your answer is 15x^2-3x+9
The value of 110 coins, consisting of dimes and quarters, is $20.30. how many of each kind of coin are there?
Answers
0.10d + 0.25q = 20.30
0.10(110 - q) + 0.25q = 20.30
11 - 0.10q + 0.25q = 20.30
-0.10q + 0.25q = 20.30 - 11
0.15q = 9.30
q = 9.30/0.15
q = 62 <==== there are 62 quarters
d = 110 - q
d = 110 - 62
d = 48 <==== there are 48 dimes
When the measured number 0.0090 is multiplied by the measured number 87.10, the answer has two significant figures?
Answers
The number 0.0090 has two significant figures in it, as we can represent the placeholder zeros (the ones between the decimal and the first 'significant' number - in this case, the 9) with a power of ten: 9.0x10^-3. Additionally, it is a measured number, meaning whatever instrument was used to measure displayed the zero in the ten thousandths place.
The number 87.10 has four significant figures. There are no placeholder zeros between the decimal and a 'significant' number, and it is also a measurement made by an instrument which displayed a zero in the hundredths place.
When numbers are multiplied or divided, the answer should be rounded to the same number of significant figures as the value with the least number of sig figs in the calculation.
0.0090 x 87.10 = 0.7839
= 0.78 rounded to 2 sig figs
or
7.8 x 10^-1 in scientific notation
A cheetah can run 103 feet per second. A zebra can run x feet per second. Use the Distributive Property to write and simplify an expression for how much farther the cheetah can run in 10 seconds
Answers
We are given that the rate of cheetah Rc is:
Rc = 103 ft / sec
And the rate of zebra Rz is:
Rz = x ft / sec
We are to find the distance between the two after 10 seconds, that is:
distance = (103 – x) 10
distance = 1030 – 10 x
The expression for how much farther a cheetah can run than a zebra in 10 seconds, given that the zebra's speed is x feet/second, is 1030 - 10x feet.
Explanation:To find out how much farther the cheetah can run in 10 seconds, we need to determine the difference between the cheetah's speed and the zebra's speed, and then multiply by time.
Firstly, the cheetah's speed is 103 feet per second. Let x denote the zebra's speed. The difference in speed is expressed as (103 - x) feet per second.
To find out how much farther the cheetah runs in a given time, we multiply the difference in speed by time. Therefore, the expression for how much farther the cheetah can run in 10 seconds is 10 * (103 - x), which simplifies to 1030 - 10x feet.
Learn more about speed here:https://brainly.com/question/6276874
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Deon is saving money to buy a game. so far he has saved $20 , which is four-fifths of the total cost of the game. how much does the game cost?
Answers
(4/5)y=20
4y=100
y=25
Marc earned $1,650 per month as an assistant technician at a recording studio. His new job pays $9.80 per hour with time and a half for all hours over 36 hours per week. How many hours of overtime per week will he need to work to earn the same amount per week as his current job?
Answers
Marc will need to work just over 4 hours of overtime each week at his new job, which pays $9.80 per hour and $14.70 per hour for overtime, to earn the equivalent of his previous monthly income of $1,650.
To determine the number of overtime hours Marc needs to work at his new job to earn the same monthly income he did at his previous job, we'll first calculate his weekly income at his old job, then use the overtime pay rates at the new job to find the equivalent number of hours needed.
Marc previously earned $1,650 per month. Assuming a standard 4-week month, his weekly income was:
$1,650 per month / 4 weeks per month = $412.50 per week.
At his new job, Marc earns $9.80 per hour with time and a half for all hours over 36 hours a week. This means his overtime pay is 1.5 times his hourly rate, which is:
$9.80 per hour x 1.5 = $14.70 per hour for overtime.
Marc's income for the first 36 hours at his new job would be:
36 hours x $9.80 per hour = $352.80
To earn the equivalent of his old weekly salary, we must make up the difference with overtime pay:
$412.50 (old weekly income) - $352.80 (new regular pay) = $59.70 needed from overtime.
To determine the overtime hours needed to make $59.70: $59.70 / $14.70 per hour = approximately 4.06 hours.
Therefore, Marc will need to work just over 4 hours of overtime each week to earn the same amount he did at his previous job.
The sum of 2 numbers is 44 the smaller number is 16 less than the larger number what are the numbers
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if you let each number equal x and y we know the sum is 38 so x+y=38
and the smaller is 16 less than the larger
. so if we say the smaller number is 7 then x-16=y
these can be solved as a simultaneous equation. x+(x-16)=38
2x-16=38
2x=54
x=27
(27)-16=y
y=11
so the answer is x=27 y=11
Can someone help me really quickly please? I already have an answer, but im not sure if it's wrong or right :/
Answers
11(-6) - 14(-6) > 18
-66 - (-84) > 18
-66+84 > 18
18>18
Since 18 is not greater than 18, the answer is false.
Hope this helps!
how many outliers are there in this data set 1, 4, 6, 9, 12, 13, 13, 17, 19
A. 2
B. 3
C. None
D. 1
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What is 7.4/2.5 = 16/y what is y
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2.96=16/y
y·2.96=16/y·y
2.96y=16
2.96y/2.96=16/2.96
y=5.4
which equation best represents the line graphed above
a x=4
b x= _ 4
y= x -4
y= - 4
Answers
The correct answer is option B
--------------------------------------------
Since x = -4 is a vertical line(perpendicular to horizontal), so there is no y-intercept and the slope is undefined.
"A vertical line has undefined slope because all points on the line have the same x-coordinate.
So, the slope is undefined and we also don't have the y - intercept.
------------
Credit to my graphing calculator, it looks like this ↓↓
Best of luck with your studies!
The correct answer is option B. The equation best represents the line graphed is x = -4.
What is an equation of a line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Since x = -4 is a vertical line(perpendicular to horizontal), there is no y-intercept and the slope is undefined.
A vertical line has an undefined slope because all points on the line have the same x-coordinate.
So, the slope is undefined and we also don't have the y-intercept.
To know more about an equation of the line follow
brainly.com/question/18831322
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-10x-2(5x+4)-[-2(3x-4)-2x]=0
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Mark as brainliest if l helped!
Children younger than ______ years of age must be restrained in an approved child passenger safety seats unless they are at least 4 ft, 9 inches in height.
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Which inequality's solution is graphed here?
A) x + 9 < 5
B) x - 5 < 9
C) x + 5 < 9
D) x - 9 < 5
Answers
x + 5 < 9 <== its gonna be this one
x < 9 - 5
x < 4
Answer:
there is an open dot on 4.....an open dot means there is no equal sign in the problem....and it is shaded to the left...means it is less then. So ur looking for an inequality with the answer being x < 4.
x + 5 < 9 <== its gonna be this one
x < 9 - 5
x < 4