Andrew is hiking in a mountainous area of a state park. Use the given key features to sketch a graph.
y-intercept: Andrew starts at an elevation of 0 feet.
Extrema: Andrew's maximum elevation is 800 feet.
Increasing: At the start of the hike, Andrew's elevation increases steadily for 30 minutes. Then he stops to rest for 5 minutes.
Decreasing: Andrew hikes back to his starting point for the final 20 minutes.
Using the features, a piece-wise function is defined, and the graph is sketched at the end of this answer.
A piece-wise function is a function that has multiple definitions, depending on the value of the input.
He starts at 0 feet, and reaches a maximum elevation of 800 feet in 30 minutes, with a steady(linear) increase thus, for the first 30 minutes, the definition is:
[tex]h(t) = \frac{800}{30}t, 0 \leq t < 30[/tex]
For the next 5 minutes, he stops to rest, at the maximum elevation of 800 feet, thus, the definition is:
[tex]h(t) = 800, 30 \leq t < 35[/tex]
For the final 20 minutes, he descends 800 meters, at a linear rate, thus:
[tex]h(t) = 800 -\frac{800(t-35)}{20} = 800 - 40(t - 35), 35 \leq t \leq 55[/tex]
Using these definitions, the graph is sketched at the end of this answer.
A similar problem is given at https://brainly.com/question/13205719
WILL GIVE BRAINLIEST. determine the rule for the table and complete it.
Answer:
see explanation
Step-by-step explanation:
From the table
1 → - 2 ⇒ 1 - 3
2 → - 1 ⇒ 2 - 3
3 → 0 ⇒ 3 - 3
The rule is subtract 3 from the input to obtain output , then
4 → 4 - 3 = 1
n → n - 3 ← is the general rule for the table
14. slope = -1; through (-3,5)
slope m = diffy/diffx = (14-5)/(6-3) = 9/3 m = 3. Then here's an example. Write the equation of a line that passes through the given point
Solve for x.
x ÷ 0.6 = 9.3
x = 5.58
x = 9.9
x = 8.7
x = 15.5
Answer:
x=5.58
Step-by-step explanation:
Answer: 5.58
All the other answers are wrong. You want to subtract both sides to get x alone. I used a calculator.
Multiply.
2.5(-4)
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Answer:
x = 5/8 = 0.625
Step-by-step explanation:
which of the tables represents a function?
the answer is table d !! good luck :)
the difference between 4/9 of a number and seven is five
Answer:
if x is the number
4/9x - 7=5
4/9x= 7+5
4/9x= 12
x= 12×9/4
x= 108/4
x=27
1 pts
Graph the linear function y +8 = 2(x + 2)
-8
4
8
o
IA
2,8)
(014)
Answer: In the picture
please give me a brainliest answer
In each triangle below, name the type of line segment that CD is.
A skyscraper has 49 floors there are 26 offices on each of the bottom 31 fours the top 18 floors each have 38 officers about how many officers are there in the sky scraper all together
Answer:
903 offices
Step-by-step explanation:
Total number of officers in the sky scraper
= 26 + 31 + [(49-2)×18]
= 26 + 31 + 846
= 903 offices
Given the function h(x) = 7 + 2x, find the value of h(6)
Answ 21?
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
The value of h(6) can be found by substituting 6 into the given equation where x is.
h(6)=7+2(6)=7+12=19
9 pls pls pls help meeee!
Answer:
not possible
........................................
i need help please thanks
Answer:
The initial value is 1
Step-by-step explanation:
The initial value is the value when t =0
When t=0 p =1
what is 1>x346+X=123=
Answer:
1>x^346+X=123
q
1
y=qx
P
Write x in terms of p, q and y.
Answer:
x = [tex]\frac{y}{pq}[/tex]
Step-by-step explanation:
y = pqx ( isolate x by dividing both sides by pq )
[tex]\frac{y}{pq}[/tex] = x
What is the slope of the line passing through the points (8, 9) and (-2, 9)?
Answer:
Slope is 0
Step-by-step explanation:
First, find the difference in the x and y of each point by subtraction.
8 - (-2) = 10
9 - 9 = 0
Because the y value doesn't change in between these two points, that indicates the slope is 0
A box contains plain pencils and 7 pens. A second box contains 6 colored pencils and 2 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction.
Answer:
it is 3 as a simplified fraction
Step-by-step explanation:
BOX 1) 5 plain pencils and 7 pens.
BOX 2) 6 color pencils and 2 crayons.
Plain pencil (first box) ~ 5 : 7
Color pencil (second box) ~ 6 : 2
Simplify.
3 : 1 <== Second box
Which expression is equivalent to m-2m-6m?
Answer:
Which expression is equivalent to m-2m-6m?
if this is correct can i have brainliest
what’s the LCM for 22, 44 show your work
how do you do this 1
2
3
−
6
7
=
Answer:
4/21
Step-by-step explanation:
Hope this helps
*
-12 -10 8 6 4 2 0 2 4 6 8 10 12
Which division problem is modeled on the number line?
012-3
-12 - 3
0-12 =-4
124
the correct answer is b :)
Convert each of the following fractions into a decimals
a) .25
b) .6
c) .875
d) 3.3125
e) .06
f) 19.425
PLEASEEEEE HEELP MEEEE DO THIS WORK THANK U!
Answer:
There are no solutions.
Step-by-step explanation:
Put it in an equation
x + 5 = x − 13
Let's solve your equation step-by-step.
x + 5 = x − 13
Step 1: Subtract x from both sides.
x + 5 − x = x − 13 − x
5 = − 13
Step 2: Subtract 5 from both sides.
5 − 5 = − 13 − 5
0 = − 18
Answer:
There are no solutions.
May I please receive help?
Answer:
m<1=47 and m<2=29
Step-by-step explanation:
help i kinda get the idea but every-time i solve it i get wrong
The equation for a line is y = mx + b. where m is the slope and b is the y intercept.
The slope is -1/3 (rise: 1, run: -3)
And the y-intercept is at -4.
So the equation for the line is:
y = -1/3x - 4
And we want all the y values BELOW the line of -1/3x - 4 as well as the values on the line because it’s not dotted. So instead of equals we write:
y <= -1/3x - 4
“Y is less than or equals to -1/3x - 4” where it includes the solutions on the line, as well as any solutions below it.
y <= -1/3x - 4 is the answer
Ken bought a new car and had to borrow $6,500 from the bank. The bank charged
Ken 3.7% in simple interest for the 5 years Ken had the bank loan. What's the total
amount Ken will have to repay the bank?
Answer: 65005.037
Step-by-step explanation:
I=?
P=6,500
R=037
T=5 years
I= 6,500+037+5= 65005.037
The entry price to the museum is $18.
This price is increased by 28%.
Find the increased entry price.
A swimming pool holds 600,000 liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in 200
minutes, and the second pipe alone can empty it in 120 minutes. When both pipes are draining together, how long does it take them to empty the pool?
Answer:
1 hour
Step-by-step explanation:
A hardware store is having a clearance sale where everything is 61% off. If the regular price of a saw is $287,
approximately how much will be taken off the regular price?
Answer:
$175.07 will be taken off
Step-by-step explanation:
287x61/100
17507/100
175.07
what is the difference between the independent, dependent, predictor, outcome, response variables?
The outcome variable is also called the response or dependent variable, and the risk factors and confounders are called the predictors, or explanatory or independent variables. In regression analysis, the dependent variable is denoted "Y" and the independent variables are denoted by "X".