Answer:
The width is 9 cm
Step-by-step explanation:
Since the formula for the volume of a rectangular prism is,
Volume = (Height)(Length)(Width)
So,
Width = (Volume)/((Height)(Length))
Now, Volume = 2691, Height = 23, Length = 13, so, we get for the width,
Width = (2691)/((23)(13))
Width = 117/13
Width = 9
So the width is 9 cm
Answer:
9 cm
Step-by-step explanation:
Let's use the formula for the volume of a rectangular prism:
Volume = length * width * height
We know that the volume is 2,691 centimeters, the length is 13 centimeters, and the height is 23 centimeters.
We can plug these values into the formula to find the width:
2,691 = 13 * width * 23
2691=299*width
width=2691/299
width = 9 centimeters
Therefore, the width of the rectangular prism is 9 centimeters.
Work out the percentage change when a price of £80 is increased to £100.
Answer:
125%
Step-by-step explanation:
80/100=8
80*x=100
100/80=1.25
1.25*100=125
x=125%
Write an equation that describes the functions
Functions: 0,0 1,4 2,8 3,12
Y=?
Answer:
y=4x
Step-by-step explanation:
Plug the numbers in:
4*0=0--> (0,0)
4*1=4-->(1,4)
4*2=8-->(2,8)
4*3=12-->(3,12)
What are some problems that equal 492009
Answer:
1 + 492008 = 492009
Step-by-step explanation:
OR
200009 + 292000 = 492009
2. *
2 points
Which set of ordered pairs represents a function?
1) {(0,4),(2,4),(2,5)}
2) {(6,0),(5,0),(4,0)}
3) {(4,1),(6,2), (6,3),(5,0)}
4) {(0,4),(1,4),(0,5),(1,5)}
Option 1
Answer:
2
Step-by-step explanation:
This is the only set of ordered pairs that represents a function because if this function was graphed, it would pass the vertical line test. Looking at the ordered pairs, a function must not have more than one ordered pair that has the same x-coordinate values. All the other answer choices have 2 or more ordered pairs with the same x-values, meaning 2 is the correct answer.
PLease Help!! Brainliest answer! Thank you!
The answer is 135 your welcome
sorry I thought it was to find missing side
2) −4 + n/3= −4 solve the equation
Answer: n=−6
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2-4+n/3-(-4)=0
simplify n/3
(-2+n/3)- -4=0
Rewrite the whole as a fraction using 3 as the denominator :
-2 • 3
-2 = -2/1 = -2X3/3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
-2 • 3 + n /3=n-6/3
n+6 = 0
Subtract 6 from both sides of the equation :
n = -6
hey can anyone pls answer dis!
Answer:
b
Step-by-step explanation:
Sorry I had to answer questions
Answer:
61
Step-by-step explanation:
Step 1: Define
8y² - y - 8
y = 3
Step 2: Substitute and Evaluate
8(3)² - 3 - 8
8(9) - 3 - 8
72 - 11
61
Answer:
61
Step-by-step explanation:
8*3²-3-8=61
3
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 15 hours of burning, a candle
has a height of 22 centimeters. After 27 hours of burning, its height is 19.6 centimeters. What is the height of the candle after 23 hours?
Answer:
The height of the candle after 23 hours is 20.4 centimeters
Step-by-step explanation:
Mathematical Modeling
To model a real-life situation, a mathematical model can be built in such a way it accurately represents the variables measured in the system.
This problem requires to build a model for the height of a candle as a linear function of the time it has been burning. If the time is expressed in hours and the height is in centimeters, then the linear function can be written as:
[tex]H(t)=mt+b[/tex]
Where m and b are constants we need to find. We are provided two points of reference: After 15 hours of burning, the candle has a height of 22 centimeters. This is the point (15,22).
We also know after 27 hours of burning, the height is 19.6 cm. This is the point (27,19.6). This data is enough to accurately define the function. Let's substitute the first point:
[tex]22=15m+b\qquad\qquad [1][/tex]
Substituting the second point:
[tex]19.6=27m+b\qquad\qquad [2][/tex]
Subtracting [1] - [2]:
[tex]22-19.6=15m-27m[/tex]
[tex]\Rightarrow 12m=-2.4[/tex]
Solving for m:
[tex]m=-2.4/12=-0.2[/tex]
Using this value in [1]:
[tex]22=15(-0.2)+b[/tex]
[tex]22=-3+b[/tex]
Solving for b:
b=25
The function is now complete:
[tex]H(t)=-0.2t+25[/tex]
Finally, substitute t=23:
[tex]H(23)=-0.2(23)+25=20.4[/tex]
The height of the candle after 23 hours is 20.4 centimeters
y , add 4, then divide by 9.
A child rolls a ball on a level floor 3.5m to another child. If the ball makes 15.0 revolutions, what is its diameter?
The diameter of the ball is approximately 16.67 meters.
To find the diameter of the ball, we can use the relationship between the distance traveled and the number of revolutions.
The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter.
Given that the ball rolls a distance of 3.5 meters and makes 15.0 revolutions, we can calculate the circumference of the path it travels:
C = 3.5 m * 15.0 = 52.5 m
Since each revolution covers the circumference of the ball, we have C = πd. Plugging in the known value for C, we can solve for the diameter (d):
52.5 m = πd
Dividing both sides of the equation by π, we get:
d = 52.5 m / π
Using a calculator, we can evaluate this expression:
d ≈ 16.67 meters
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3*5^0.2w=720
What is the solution of the equation?
Round your answer, if necessary, to the nearest thousandth.
Answer: w = 1200
---------------------------------
just look at the picture
properties of quadilateral
Opposite sides are equal and parallel.
Diagonals bisect each other.
Sum of any two adjacent angles is 180°
Opposite angles are equal
The following table lists the number of pizzas that each of four classes ate.
Class Amount of Pizza
Mr. Hernandez
Pizza
Ms. Green
Pizza
Mr. Adams
Pizza
Mrs. King
Pizza
What is the total number of pizzas the four classes ate together?
Answer:
11. 34
Step-by-step explanation:because you have to add all the whole numbers together and add the fractions expect the 1-2 because is a Improper fraction and have to simply it
PLLLLLZZZ HEEELLLPPP FAST! multiply and simplify if possible -3 2/3 x (-2 1/4)
Answer:
8 1/4x
Step-by-step explanation:
I'm good at math.
usually, data collection in a functional analysis is based on a. duration b. frequency c. momentary time sampling
The correct answer is b. frequency.
Data collection in a functional analysis typically involves recording the frequency of a target behavior. In functional analysis, the focus is on understanding the function or purpose of a behavior, and frequency data helps to identify patterns and determine the relationship between the behavior and environmental events.
During a functional analysis, various conditions are manipulated to assess how they impact the occurrence of the behavior. The frequency of the behavior is typically recorded within each condition to determine if there are differences in its occurrence based on the specific environmental variables being manipulated.
While duration and momentary time sampling are also data collection methods used in behavioral analysis, they are not specifically associated with functional analysis. Duration refers to measuring the length of time a behavior occurs, while momentary time sampling involves recording whether a behavior is occurring or not at specific intervals of time.
In functional analysis, frequency data is typically the primary method for collecting and analyzing data to understand the relationship between behavior and environmental variables.
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Data collection in a functional analysis is usually based on three components: duration, frequency, and momentary time sampling. Duration observes the amount of time a behavior occurs. Frequency measures how often a behavior occurs. Momentary time sampling observes the existence of behavior at specified time intervals.
Explanation:In the context of a functional analysis, typically the data collection methods revolve around three primary types: duration, frequency, and momentary time sampling.
Duration refers to the total amount of time that a behavior happens. It generally is measured from the moment the behavior begins until it ends. It's important when the length of time that the behavior occurs can impact its functionality.
Frequency records how often a behavior occurs within a set observational period. It’s used when the number of times the behavior occurs is the important aspect to measure.
Momentary time sampling is a method of measuring behavior in which the existence or nonexistence of behaviors are recorded at precisely specified time intervals. This process involves observing whether the behavior occurs or does not occur at the moment the interval ends. This method is beneficial as it does not need continuous observation.
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Translate this phrase into an algebraic expression. 62 less than twice a number Use the variable n to represent the unknown number.
Answer:
62<2x
Step-by-step explanation:
who knows the answer
Answer:
The answer to this question would be B.
The below is the dimensions if a running track are shown. the ends are circular.
a)Find the combined area of the (orange) track and the (green) grassed central area.
The calculated combined area of the track is 9166.625 square meters
Working out the combined area of the track and grassFrom the question, we have the following parameters that can be used in our computation:
The composite figure
The total area of the composite figure is the sum of the individual shapes
So, we have
Area = 2 * Semicircle + Rectangle
Using the area formulas, we have
Area = 90 * 65 + 2 * 1/2 * 3.14 * (65/2) * (65/2)
Evaluate
Area = 9166.625
Hence, the total area of the figure is 9166.625 square meters
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whats the answer i need help
Helpppp nowwww
What is 12(-3)+24-5(-3)= plz helpppp what does it equal
Answer:
I think it's 3
Step-by-step explanation:
-36+24+15=3
find the slope of the line
Answer:
Step-by-step explanation:
When x=0 y=-3.75
When y=0 x=10
Please solve (very simple)
5w – 7 = 2w + 1
hale's one-stop gas and auto service compete with Murray's gas and service mart. the local demand is given by P=2.5-0.01Q.
Hale's MC function is MCH: qH=0.35qH
Murray's MC function is MCM: qM=0.3qM
find hale's and Murray's reaction function; then find the Cournot solution. (price and quantities)
The Cournot solution for the price is approximately $2.425, and the quantities produced by Hale and Murray are approximately 3.47 and 4.03, respectively.
To find Hale's and Murray's reaction functions, we need to determine their profit-maximizing quantities given the local demand and their respective marginal cost functions.
Hale's profit function can be expressed as:
πH = (P - MCH) * qH
[tex]= (2.5 - 0.01Q - 0.35qH) * qH\\= 2.5qH - 0.01qH^2 - 0.35qH^2[/tex]
To maximize profits, we take the derivative of πH with respect to qH and set it equal to zero:
dπH/dqH = 2.5 - 0.02qH - 0.7qH
Setting the derivative equal to zero:
2.5 - 0.02qH - 0.7qH = 0
2.5 - 0.72qH = 0
0.72qH = 2.5
qH = 2.5 / 0.72
qH ≈ 3.47
Therefore, Hale's reaction function is qH = 3.47.
Similarly, Murray's profit function can be expressed as:
πM = (P - MCM) * qM
[tex]= (2.5 - 0.01Q - 0.3qM) * qM\\= 2.5qM - 0.01qM^2 - 0.3qM^2[/tex]
To maximize profits, we take the derivative of πM with respect to qM and set it equal to zero:
dπM/dqM = 2.5 - 0.02qM - 0.6qM
Setting the derivative equal to zero:
2.5 - 0.62qM = 0
0.62qM = 2.5
qM = 2.5 / 0.62
qM ≈ 4.03
Therefore, Murray's reaction function is qM = 4.03.
To find the Cournot solution, we substitute the reaction functions into the local demand equation:
Q = qH + qM
Q = 3.47 + 4.03
Q ≈ 7.5
Substituting Q back into the demand equation:
P = 2.5 - 0.01Q
P = 2.5 - 0.01(7.5)
P = 2.5 - 0.075
P ≈ 2.425
The Cournot solution for the price is approximately $2.425, and the quantities produced by Hale and Murray are approximately 3.47 and 4.03, respectively.
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Roberto rode his bicycle for a local bike-a-thon. The bike-a-thon started at 9:00 A.M. and ended at 4:00 P.M. By 10:00 A.M., Roberto had ridden 16 miles. Except for a one-hour lunch break, Roberto rode at the same pace until 4:00 P.M.
How many miles did Roberto ride in the bike-a-thon?
How many grams does an 8-ounce portion of prime rib weigh?
Answer:
28.3495 gram
Step-by-step explanation:
5. Which of the following statements are always true? (2 points)
Two parallel lines are coplanar.
Two skew lines are coplanar.
Two planes that do not intersect are parallel.
OTwo lines that lie in parallel planes are parallel.
Two lines that lie in intersecting planes are skew.
A line and a plane that do not intersect are skew.
Answer:
Two parallel lines are coplanar.
Two planes that do not intersect are parallel.
Step-by
A and C
Two parallel lines are coplanar while two planes that do not intersect are parallel. Options A and C are correct.
What is geometry?It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.
A line that is in the same plane as another line is said to be coplanar. Any two crossing lines must be coplanar or lying in the same plane.
Since they share the same plane or are in the same plane but never intersect, parallel lines are coplanar.
The planes are parallel if they do not intersect. Due to the endless nature of planes, they cannot meet in a single place. In addition, because planes are flat, they cannot intersect across more than one line.
Thus, two parallel lines are coplanar while two planes that do not intersect are parallel. Options A and C are correct.
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A number to the 12th power divided by the same number to the 9th power equals 64. What is the number?
Answer:
4
Step-by-step explanation:
x^12/x^9=x^3
x^3=64
64 =4*4*4
therefore x=4
Amaya is standing 30 ft from a volleyball net. The net is 8 ft high. Amaya serves the ball. The path of the ball is modeled by the equation y=-0.02(x-18)^2+12, where x is the ball's horizontal distance in feet from Amaya's position and y is the distance in feet from the ground to the ball. a. How far away is the ball from Amaya when it is at its maximum height? Explain. b. Describe how you would find the ball's height when it crosses the net at x=30. a. How far away is the ball from Amaya when it is at its maximum height? Explain. The ball is nothing ft away from Amaya when it is at its maximum height. Use the y-coordinate x-coordinate of the vertex.
Answer:
KINDLY CHECK EXPLANATION
Step-by-step explanation:
Given the equation : y=-0.02(x-18)^2+12 to model the horizontal distance of a ball from Amaya's position.
a. How far away is the ball from Amaya when it is at its maximum height?
The model takes the form of a parabolic equation. Maximum height is obtain at the Vertex :
Comparing the general model :
y = a(x - h)^2 + k
Maximum height is obtained at the Vertex :(h, k)
From the model given
Coordinate at the Vertex : (h, k) = (18, 12)
Hence, ball is 18 feets away from AMAYA
B.) Height of ball at x = 30
y=-0.02(x-18)^2+12
y=-0.02(30-18)^2+12
y=-0.02(12)^2+12
y = 9.12 feets.
