The depth of a river changes after a heavy rainstorm, Its depth, in feet, is modeled as a function of time, in hours. Consider this graph of the function. Enter the average rate of change for the depth of the river, measured as feet per hour, between hour 9 and hour 18. Round your answer to the nearest tenth
Answers
Answer:
The average rate of change for the depth of the river measured as feet per hour is approximately 0.3 feet/hour
Step-by-step explanation:
The depth of the river in feet with time is given by the function with the attached
From the graph, we have;
The depth of the river at hour t = 9 is f(9) = 18 feet
The depth of the river at hour t = 18 is f(18) = 21 feet
The average rate of change, A(x), for the depth of the river measured as feet per hour is given as follows;
[tex]A(X) = \dfrac{f(b) - f(a)}{b - a}[/tex]
Therefore, for the river, we have;
[tex]A(X) = \dfrac{f(18) - f(9)}{18 - 9} = \dfrac{21 - 18}{18 -9} = \dfrac{3}{9} =\dfrac{1}{3}[/tex]
The average rate of change for the depth of the river measured as feet per hour A(X) = 1/3 feet/hour
By rounding the answer to the nearest tenth, we have;
A(X) = 0.3 feet/hour.
Related Questions
Pls help meee and thank you
Answers
Answer:
I believe the answer is y=4x+4
Step-by-step explanation:
because the 4 that is on the Y axis is the Y axis
and the 4 on the x axis will be the one with the variable
Hopefully this helps.
Maria wants to buy a pair of shoes for $32.50 and a shirt for $8.50. If the sales tax rate is 8.5%, what will be the amount of sales tax on Marias purchase?
Answers
Answer:
54.25
Step-by-step explanation:
Los primeros días de enero, el representante del mercado recibió cierta cantidad de di-
nero, hizo una operación y se dio cuenta que habían pagado 15 personas. ¿Cómo puede
saber la cantidad recibida?
15
425
Answers
El ejercicio completo con las opciones de respuesta está a continuación:
Los primeros días de enero el representante del mercado recibió cierta cantidad de dinero,hizo una operación y se dio cuenta que habían pagado 15 personas,cómo puede saber la cantidad recibida?
a.Multiplicando el dividendo por el divisor
b. Sumando el dividendo con el cociente y el residuo
c.Multiplicando el divisor por el cociente y sumando el residuo
d.Multiplicando el dividendo por el cociente y sumando el residuo
Answer:
La opción c es la respuesta correcta
Step-by-step explanation:
El valor de 15 corresponde al cociente es decir al total de personas que pagaron;el ejercicio nos da el valor del divisor que es 425 ; para saber cual es la cantidad exacta recibida debemos multiplicar el divisor por el cociente y si hay residuo sumarlo; el ejercicio nos queda de la siguiente manera:
425 x 15 = 6.375 (la cantidad recibida fue de 6.375)
[tex]\frac{6375}{425}[/tex] = 15 (comprobación de la división para obtener el cociente con valor de 15)
You earn $10 per hour working as a manager at a grocery store. You are required to work at the grocery store at least 8 hours per week. You also teach music lessons for $15 per hour. You need to earn at least $120 per week, but you do not want to work more than 20 hours per week. a. Write a system of linear inequalities that represents the situation. Use x for hours worked at the grocery store and y for hours teaching music lessons. i need the inequility for total work. please fast
Answers
Answer:
without numbers= 10x + 15y = 120
Step-by-step explanation:
grocery store= 10x (x=8 in this case)
music lessons= 15y
Need help with this problem
Answers
HELP PLEASEEEE IT WOULD HELP ME OUT A LOT
Answers
Answer:
Step-by-step explanation:
Rosie bought a ring in the USA she paid 345 US dollars work out in pounds the amount rosie paid for the ring
Answers
345 x 0.72 = 248.4
345 us dollars = 248.4 British pounds
Rosie paid 248.4 British pounds for the ring. Hope this helped
Answer:
Step-by-step explanation:
The math teachers decided to throw a party. One teacher bought 7 cookies and 2 ice cream bars for $10.95. Another teacher bought 4 cookies and 3 ice cream bars for $10.25 . How much did one cookie and one ice cream bar cost, individually?
Answers
Answer:
0.95, 2.15
Step-by-step explanation:
cookie-x
ice bar-y
7x+2y=10.95 (*3)
4x+3y=10.25 (*2)
21x+6y=32.85
8x+6y=20.5
21x-8x=32.85-20.5=12.35
13x=12.35
x=0.95
2y=10.95-7*0.95=4.3
y=2.15
Cost to store: $140
Markup: 25%
The selling price is $
what is the selling price ?
Answers
Answer:
175
Step-by-step explanation:
140
140/4=35
140+35=175
An online store sold a gift basket at five different prices and recorded the number of gift baskets that were sold at each price. The results are shown in the scatterplot.
Answers
Complete question :
An online store sold a gift basket at five different prices and recorded the number of gift baskets that were sold at each price. The results are shown in the scatterplot.
Which statement is correct based on the scatterplot?
There is no relationship between price and gift baskets sold because the points do not form a straight line.
There is no relationship between price and gift baskets sold because there are multiple prices at which 80 gift baskets were sold.
There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold increases.
There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.
Answer:
There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.
Step-by-step explanation:
From the scatterplot provided, it could be observed thatbthere is a linear trend in the plot created. This shows that there is a relationship between the price of gifts and the number if gift basket sold.
Furthermore, the slope of the linear trend line that could be drawn from the plotted data is negative, A negative slope Indicates a negative relationship, that is an increase in x leads to corresponding decrease in y. He ce, as price increases the number sold decreases
Answer:
d and/ or the other dude
Step-by-step explanation:
HELP ASAP!!! find the lines of symmetry. Select all that apply
Answers
Answer:
B. and D.
Step-by-step explanation:
If you folded that shape along the lines o and m, it would match up.
There are two lines of symmetry m and o. Options B and D are correct.
From the given figure we have to determine the axes of symmetries.
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
Here,
As of the given figure,
There are 2 axes of symmetry first line m and the other is line o.
Line l and line n are not symmetrical lines because the reflection of one portion will not be superimposed with the other.
Thus, there are two lines of symmetry m and o. Options B and D are correct.
learn more about lines here:
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Please help Sammy buys light bulbs in pack of 8 for $20. The shipping cost is $10 regardless of the number of packs bought. Billy has only $120 to spend.
Answers
Answer:
5
Step-by-step explanation:
Let f be a function having derivatives of all orders for allreal numbers. The third-degree Taylor polynomial for f about x=2 isgiven by
T(x) = 7-9(x-2)2-3(x-2)3
a. find f(2) and f '' (2).
b. Is there enough information given to determine wheather fhas a critical point at x = 2?
If not, explain why not.
If so, determine whether f(2) is a relative maximum, arelative minimum, or neither, and justify your answer.
c. Use T(x) to find an approximation for f(0). Is there enoughinformation given to determine whether f has a critical point atx=0?
If not, explain why not.
If so, determine whether f (0) is a relative maximum, arelative minimum, or neither, and justify your answer.
d. The fourth derivative of f satisfies the inequality for all x in the closed interval [0,2]. Use thelagrange error bound on the approximation to f (0) found in part(c) to explain why f (0) is negative.
Answers
Solution :
Given : [tex]$T(x)=7-9(x-2)^2-3(x-2)^3$[/tex]
a). f(2) = T(2) = 7
[tex]$\frac{f""(2)}{2!} =-9$[/tex] , so f''(2) = [tex]$-18$[/tex]
b). Yes, since f'(2) = T'(2) [tex]$=$[/tex] 0, [tex]$f$[/tex] does have the critical point at [tex]$x=2.$[/tex]
Since f''(2) = [tex]$-18$[/tex] < 0, [tex]$f(2)$[/tex] is relative maximum value.
c). [tex]$f(0)=T(0)=-5$[/tex]
It is also not possible for determining if [tex]$f$[/tex] has a critical point at x = 0 because [tex]$T(x)$[/tex] gives exact information only at [tex]$x=2.$[/tex]
d). The Lagrange [tex]$\text{error}$[/tex] bound [tex]$=\frac{6}{4!}|0-2|^4= 4$[/tex]
[tex]$f(0) \leq T(0)+4 = -1$[/tex]
Therefore, [tex]$f(0)$[/tex] is negative.
Find the value of x. Round to the nearest tenth
Answers
Answer:
36.869 or 36.87
Step-by-step explanation:
first, you find which trig function you are using. in this case, tangent.
then, you put calculate the arctan(3/4) which is 36.96989765
The measure of angle x = 36.9°
What is right triangle?"It is a triangle in which one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"In a right triangle [tex]a^{2}+ b^{2}= c^{2}[/tex] where c is the hypotenuse and a, b are other two sides of the right triangle."
What is sine angle?"In a right triangle, sine of angle [tex]\theta[/tex] is the ratio of the opposite side of angle [tex]\theta[/tex] to the hypotenuse."
For given question
First we find the hypotenuse of the right triangle.
Let 'h' be the hypotenuse of the right triangle.
Using Pythagoras theorem,
[tex]h^{2} =3^{2} +4^{2} \\\\h^{2} =9+16\\\\h^{2} =25\\\\h=5[/tex]
We find the sine of angle 'x'
[tex]\Rightarrow sin(x)=\frac{opposite~side~of~x}{hypotenuses} \\\\\Rightarrow sin(x)=\frac{3}{5}\\\\ \Rightarrow sin(x)=0.6\\\\\Rightarrow x=sin^{-1}(0.6)\\\\\Rightarrow x=36.9^{\circ}[/tex]
Therefore, x = 36.9°
Learn more about the sine angle here:
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(+6) ÷ (+2) =
answer choices
+12
+8
+4
+3
-3
Answers
Answer:
+3
Step-by-step explanation:
(+6) ÷ (+2)
=6/2
Divide the numbers; 6/2=3
=3
Hope this helped!!!
Name the coordinates of P if P(0, 4) is rotated 180°
Answers
Answer:
P'(0, -4)
Step-by-step explanation:
when a coordinate (x, y) is rotated by 180 degrees, the resulting coordinate will be (-x, -y). Note that each coordinate is negated when rotated about 180 degrees
Given the coordinate P (0, 4). When rotated by 180 degrees, the resulting coordinate will be at P'(0, -4)
1. A cooler is in the shape of a rectangular
prism. What is the volume of the cooler?
Round to the nearest tenth if necessary.
I
Answers
Answer:
what is the answerrrrrrrrrrrrrrrrr
Step-by-step explanation:
The volume of the cooler is 2772 in³
What is a volume?Volume is the amount of space taken up by an object
What is the volume of a rectangle?The formula for calculating the volume of a rectangular prism is volume = length × width × height.
According to the question
Length= 22in.
breadth= 12 in.
width= 10 1/2 in. or 21/2 in.
So, the volume= 22× 12× (21/2)
=2772 in³
Thus the volume of a rectangular prism is 2772 in³
To check more about rectangular prism click here
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Can someone help with this question? I’m stuck.
Answers
Answer:
2
Step-by-step explanation:
2+2 is 4 so therefore the answer is 2.00.
the temperature is -2c if the temputure rises to 15c , what is the new temputure
Answers
Answer:
13c
Step-by-step explanation:
-2 + 12 = 13
there are 24 marbles in a bag: 2/16 of the marbles are red, 1/8 of the marbles are blue, 1/4 of the marbles are yellow, 1/3 of the marbles are black, 1/6 of the marbles are silver. how many of each type of marble is there?
Answers
Answer: 3 red marbles, 3 blue marbles, 6 yellow marbles, 8 black marbles, 4 silver marbles
Step-by-step explanation:
I know these are the correct number of marbles because I set up these numbers as fractions and solved for x.
For examples, 2/16 of the marbles are red. 2/16=x/24
You would do this because we are trying to find the number of marbles that are red out of the 24 marbles.
Next, we would do 24 divided by 16= 1.5 Then 1.5 times 2=3
You would follow this rule for each fraction of marbles in order to find the true number of marbles out of 24.
If the longest side of a triangle is 12 inches, what must be true about the lengths of the remaining sides?
Answers
A square stained-glass window has an area of 4 feet2 what is the perimeter of the window
Answers
Use the SIN to find x?
190m
Xm
1. Set Up
2. Operation
3. Answer
52.2
Answers
Answer:
sine=opposite/hypotenuse
sin52.2=x/150
sin0.790=x/150
x=118.5
The circle radius is 12 cm. Then the circle content is
PLEASE HEEEELP
Answers
circumference=2×pi×r
=2×3.14×12
=75.36cm
area = pi×r^2
=3.14×12×12
=3.14×144
=452.16cm^2
a cone has a height of 7ft and a radius 4ft. Which equation can find the volume of the cone?
PLEASE I ACTUALLY NEED HELP
Answers
Answer:
B
Step-by-step explanation:
equation for volume of a cone = [tex]V=\frac{1}{3}\pi r^2h[/tex]
plug in - [tex]V=\frac{1}{3} \pi (4)^2(7)[/tex]
Answer:
we have
volume of cone =1/3 πr²h=1/3×π×4²×7ft³
so
v=1/3 π(4²)(7)ft³
How many solutions does 4(−5x+8)= 4(−5x+8) have?
Answers
Answer:
infinity
Step-by-step explanation:
Solve the system of equations graphically: x – y = 1 and 3x = 3y + 3
Answers
Answer:
x=y+1,y=y
Step-by-step explanation:
Please help, i need it done by today,
Answers
Answer:
x= 28
do i have to explain
Step-by-step explanation:
Solve the following system of equations using elimination
Answers
Answer:
Well elimination is basically multiplying a number to make it possible for it to cancel out
We can multiply the first equation by 2
2(x+2y=-1)
This would be
2x+4y=-2
Its still the same thing but just with non simplified numbers
We can now do any method really to solve
I will just do the subtraction method
2x+4y=-2
-2x+y=4
Solve
2x-2x=0
4y-y= 3y
-2-4= -6
3y= -6
Now solve
y=-2
To find x subsitute in “y” and find ”x”.
x+2*-2=-1
x-4=-1
x=3
y= -2
x= 3
3x + 2y = 4
X + 2y = -4
Notice the equations are NOT in slope-intercept form.
Rewrite them in slope intercept form y = mx + b.
Answers
2y = -3x + 4
Divide by 2
Solution: y = -3/2x + 2
x + 2y = -4
2y = -x - 4
Divide by 2
Solution: y = -1/2x - 2