The average rate of change of the function over the interval x = 0 to x = 4 is: 61/400.
What is the Average Rate of Change of a Function?Average rate of change = f(b) - f(a) / b - a
Given the function, f(x) = 2x - 1 / 3x + 5.
a = 0, f(a) = 2x - 1 / 3x + 5 = 2(0) - 1 / 3(0) + 5 = -1/5
b = 4, f(b) = 2x - 1 / 3x + 5 = 2(4) - 1 / 3(4) + 5 = 7/17
Average rate of change = 7/17 - (-1/5) / 4 - 0 = 61/400
Learn more about average rate of change on:
https://brainly.com/question/11627203
#SPJ4
A penny-farthing is a bicycle with a very large front wheel and a much smaller back wheel. Penny-farthings were popular in the 1800s and were available in different sizes. If the front wheel of a penny-farthing has a diameter of 56 inches and the back wheel has a diameter of 14 inches, how many turns does the back wheel make when the penny-farthing travels 100 yards? Use 3.14 for pi.
Answer:
81.9 turns
Step-by-step explanation:
100 yd = 36 × 100 in. = 3600 in.
C = πd
C = 3.14 × 14 in. = 43.96 in.
3600/43.96 = 81.9
Answer: 81.9 turns
if a card is drawn at random from a deck of 52 cards, and then a fair coin is flipped, what are the total number of possible outcomes?
Grady's father is building a 15-meter fence with the start of the fence at coordinates (8,5) and the midpoint of the fence at coordinates
(3.5,-1). What are the coordinates of the other end of the fence
Using proportions, it is found that the coordinates of the other end of the fence are (-1,-7).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The midpoint of a segment is the mean of the coordinates of the endpoints, hence:
[tex]3.5 = \frac{x + 8}{2}[/tex]
x + 8 = 7
x = -1.
[tex]-1 = \frac{y + 5}{2}[/tex]
y + 5 = -2.
y = -7.
The coordinates of the other end of the fence are (-1,-7).
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
We can use division to solve real-life problems, such as: We can use division to solve real-life problems, such as:
Answer:
we can use division to solve real life problem such as: how much candy each of 5 students will receive if 20 candy are shared equally
Step-by-step explanation:
cause 20/5 = 4
What is the value of x?
Answer:
14
Step-by-step explanation:
4x + 2x + 6 = 90
6x + 6 = 90
6x = 84
x = 14
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 135 kilograms. A delivery of 7 large boxes and 9 small boxes has a total weight of 255 kilograms. How much does each type of box weigh?
Answer:
Small box = 9 Large box = 27
Step-by-step explanation:
135 divided by 5 = 27. 27 divided by 3 = 9
Repeat same process for second half of the equation.
x-y=5
3x+y=3 can you pleas help me find x and y
Answer:
x= 2, y= -3
Step-by-step explanation:
Given two equations, we can solve them by either substitution or elimination method. Let's solve by substitution!
x -y= 5
Rewrite this equation such that one of the variable is the subject of formula, so that we can substitute this equation into the second.
x= y +5 -----(1)
3x +y= 3 -----(2)
Substitute (1) into (2):
3(y +5) +y= 3
Expand:
3y +15 +y= 3
4y= 3 -15
4y= -12
y= -12 ÷4
y= -3
Substitute y= -3 into (1):
x= -3 +5
x= 2
a) What percentage of 5³ is 5?
b) What percentage of 5³ is 5²?
Step-by-step explanation:
a) 5³= 5*5*5 = 125
5/125*100%
4%
b) 5²=5*5=25
25/125*100%
20%
Triangle ABC represents a triangular garden with side lengths AB= 10cm ,BC= 8cm and AC=15cm .
What is the smallest and largest angle of the garden?
Answer:
Largest angle is "B" and smallest angle is "A".
Step-by-step explanation:
Given ∆ABC
AB = 10 cm , BC = 8 cm , AC = 15 cm
Angle opposite to side AB is "C"
Angle opposite to side BC is "A"
Angle opposite to side AC is "B"
we know that the angle opposite to largest side is largest angle and smallest side is smallest angle.
Here,∆ABC largest side is AC and smallest side is BC.
Hence,largest angle is "B" and smallest angle is "A".
inserts a digit to make numbers that are divisable by 24 if its possiable 38_36
Answer:
168
Step-by-step explanation:
plis help me!!!!!!!!!!!!!! it is very difficult for me
Answer:
See below ~
Step-by-step explanation:
Kindly note the 2nd equation in the above question formed will be :
2x + 4y = 20
The plotted graph is correct and it shows that the intersection of the lines (the solution) is at (2, 6), which means :
x (number of chickens) = 6y (number of sheep) = 2A shipping box is in the shape of a rectangular prism. it has a volume of 9,000 in.3, and the dimensions of the base are 20 in. by 30 in. what is the height of the box? 15 in. 20 in. 300 in. 600 in.
The height of the shipping box in the shape of a rectangular prism is 15 inches
How to determine the height of the box?The given parameters are:
Volume = 9000 cubic inches
Base dimensions = 20 inches by 30 inches
The height of the prism is then calculated using:
Height = Volume/Base Area
So, we have:
Height = 9000/(20 * 30)
Evaluate
Height = 15
Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches
Read more about volume at:
https://brainly.com/question/1972490
#SPJ4
Complete a table for the equation
Answer:
Nothing provided
Step-by-step explanation:
In Exercises 3–8, use the box-and-whisker plot to find the given measure.
Answer:
3. The least value is 3.
4. The greatest value is 14.
5. The third quartile is 11
6. The first quartile is 6
7. The median is 8.
8. The range is 3-14.
Step-by-step explanation:
what least number should 27648 be divided so that the quotient will be a cube number
How do I factor this polynomial?
(30x^3 + 15x^2 + 45x)
Answer:
Step-by-step explanation:
Answer: [tex]15x(2x^2+x+3)[/tex]
Step-by-step explanation:
[tex](30x^3 + 15x^2 + 45x)[/tex]
1. factor out 15x
[tex]15x(2x^2+x+3)[/tex]
Six workers are hired to harvest blueberries from a field. each is given a plot with an area of 84 ft2. which equation will tell you the total area of the blueberry field
The equation that represents the total area of the blueberry field will be y = 84x.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Six workers are hired to harvest blueberries from a field.
Each is given a plot with an area of 84 square ft.
Then the equation that represents the total area of the blueberry field will be
Let x be the number of workers and y be the total area field. Then we have
y = 84x
Then the area of the total field will be
y = 84 (6)
y = 504 square ft
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ1
What is the area of the triangle given below?
Answer:
26
Step-by-step explanation:
2. Find the variation constant and an equation of variation where y varies inversely as x and y=9 when x=2.
Answer: y=108
Step-by-step explanation:
Answer:
k = 4.5
y = 4.5x
Step-by-step explanation:
Finding the variation constant, k :
k = y/xk = 9/2k = 4.5Equation of variation :
y = kxy = 4.5xI have been stuck on this math equation for 15 minutes. Someone please help me!
Write the equation in standard form for the circle 3x^2+3y^2-54x+129=51y
Answer:
(x−9)²+(y−[tex]\frac{17}{2}[/tex])²=[tex]\frac{441}{4}[/tex]
Step-by-step explanation:
easy question quickly please!!!
Answer:
D
Step-by-step explanation:
4 x 8 = 32
4 x 16 = 64
4 x 32 = 128
4 x 64 = 256
They can be multiplied by something and 4
Juan bought 48 ounces of nuts at the store. How much is this in pounds?
NEED HELP PLEASE WHAT IS THE NUMBER IN THE QUESTION MARK
Answer:
i thing it is 2，if i wrong so sorry
7/11 of a class walk to school. What fraction of the class did not walk to school
Answer:
4/11 of the class did not walk to school.
Step-by-step explanation:
11/11 - 7/11 = 4/11
My original answer was 18, 1.92, -1, -5.5 but it is wrong on the form so what did i do wrong?
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 76m wide. Find the area of the training field. Use the value 3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.
If the radius of the semi-circle is 38 m. Then the area of the training field will be 11,908.459 square meters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97 m long and 76 m wide.
Then the radius of the semi-circle will be
2r = 76
r = 38 m
Then the area of the training field will be
Area = area of rectangle + 2 x area of semi-circle
Area = 97 x 76 + 2 x (1/2) x π x 38²
Area = 7372 + 4536.459
Area = 11908.459 square m
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ1
find the area of the circle. give your answer in terms of ir and as decimals rounded to nearest square foot. use 3.14 for ti. the diameter of a circle is 40 feet
Answer:
The answer to this is 1,256
Question 39 of 40
The circle below has a radius of 8 centimeters. What is the area of the shaded
region?
X
120°
8 cm
OA. 32 square centimeters
B. 8 square centimeters
64
3
square centimeters
square centimeters
O C.
O D.
16
3
Convert angle to radians
120=2π/3So
Area
r²Ø/28²(2π/3)(1/2)64π/3cm²Answer:
[tex]\textsf{C.} \quad \dfrac{64 \pi}{3} \: \sf square\:centimeters[/tex]
Step-by-step explanation:
Formula
[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]
Given:
[tex]\theta[/tex] = 120°r = 8 cmSubstitute the given values into the formula and solve for Area:
[tex]\large \begin{aligned}\implies \textsf{Area} & =\left(\dfrac{120^{\circ}}{360^{\circ}}\right) \pi (8)^2\\\\& =\left(\dfrac{1}{3}\right) \pi (64)\\\\& =\dfrac{64}{3} \pi \: \sf cm^2\end{aligned}[/tex]
How many people out of 100,000 will survive until age 90?
Answer:
21,526 people
Step-by-step explanation:
Can someone please find the coordinates for these shapes? pls I will mark them with Brainliest pls
Answer:
What shapes?!?! I can help you if you add an image of the shapes :)
Step-by-step explanation: