A robot along the surface of the curved pit reaches a ( blank 1) depth of ( blank 2) feet.
Blank 1 ( maximum, minimum, or constant.)
Blank 2 ( -3,-9, 4, or -7)
The equation above for this question is y=0.75x^2 - 13.5x + 57.75
Answer: Minimum; -3
Step-by-step explanation:
I found the answer by entering it into Desmos Graphing Calculator and then looking at the point of the vertex, which in this case would be (9,-3).
You could also find the x-intercepts, (p,0) and (q,0), using the quadratic formula and then plug them into the equation: x=p+q/2 which will give you your axis of symmetry, or your x value in your vertex. Then, plug that number into your equation. You can plug it into the equation you posted here or the equation of your x-intercepts. (x-p) (x-q) Keep in mind that the minus refers to you putting the opposite of your x-intercept. For example, if your x-intercept was 4, then you would have -4 in the equation.
What would you use to show diagonals are/are not perpendicular?
A. Slope
B. Midpoint
C. Distance
Answer: A
Step-by-step explanation:
Help me with both please blue is the work and red is the answer
Answer:
Everything is in the picture above
Step-by-step explanation:
Hope it helps
FILL THE BLANK. a ____ diagram is used to describe the wiring details of a specific piece of equipment.
A schematic diagram is used to describe the wiring details of a specific piece of equipment.
A schematic diagram is a graphical representation that depicts the electrical connections, components, and circuitry of a system or device.
It provides a simplified and standardized visual representation of the wiring and electrical connections, allowing engineers, technicians, or users to understand the internal workings of the equipment.
In a schematic diagram, different symbols and lines are used to represent various electrical components such as resistors, capacitors, switches, transformers, and wires.
The connections between these components are illustrated using lines that indicate the flow of electrical current.
Schematic diagrams are widely used in various fields, including electronics, electrical engineering, telecommunications, and industrial automation.
They are essential for designing, troubleshooting, and repairing equipment as they provide a clear and concise representation of the electrical connections and functionalities.
Overall, schematic diagrams serve as a vital tool for understanding the wiring details of a specific piece of equipment, enabling efficient analysis, troubleshooting, and communication of electrical systems.
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A pizza maker sells either whole pizzas or pizza by the slice. A slice of pizza is 1/8 of a pizza. How many whole pizzas would 113 slices of pizza make? Express your answer as a mixed number. Explain your answer.
Answer:
Here is your answer
Step-by-step explanation:
113/8= 14 and 1/8th
Let R be the region in the fourth quadrant enclosed by the x-axis and the curve y=x²-2kx, where k is a constant. If the area of the region R is 36, then the value of k is
a)-3
b)3
c)4
d) 6
To solve this problem, we need to find the x-values where the curve intersects the x-axis, which occurs when y=0.
0=x²-2kx ,We can factor out an x: 0=x(x-2k) .So the x-intercepts are at x=0 and x=2k.
To find the value of k, we need to follow these steps:
Step 1: Find the points of intersection between the curve y = x^2 - 2kx and the x-axis.
To do this, set y = 0:
0 = x^2 - 2kx
x(x - 2k) = 0
This means that the curve intersects the x-axis at x = 0 and x = 2k.
Step 2: Determine the limits of integration.
Since we are looking for the region in the fourth quadrant, we will have limits 0 and 2k for our integration.
Step 3: Calculate the area using integration.
Area = ∫[0 to 2k] (x^2 - 2kx) dx
Step 4: Solve the integral.
Area = [1/3x^3 - kx^2] evaluated from 0 to 2k
Area = (1/3(2k)^3 - k(2k)^2) - (1/3(0)^3 - k(0)^2)
Area = (8k^3/3 - 4k^3)
Step 5: Set the area equal to 36 and solve for k.
36 = 8k^3/3 - 4k^3
36 = (8k^3 - 12k^3)/3
36 = -4k^3/3
Now, multiply both sides by 3 and divide by -4:
-108/-4 = k^3
27 = k^3
Take the cube root of both sides:
k = 3
The value of k is 3 (Option b).
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Frank has devised a formula for his catering business that calculates the number of meatballs he needs to prepare.
Answer:
The answer is "\(m=4(25)+2(5)\\\\\)".
Step-by-step explanation:
Please find the complete question in the attached file.
A party of 20 adults and 5 children needs 90 meatballs. A party with 25 adults and 5 children needs 110 meatballs.\(\to m=4(20)+2(5)\\\\\to m=80+10\\\\\to m=90\\\\\text{The final answer is : }\bold{ m=4(20)+2(5)}\)
3,4,4,6,8,9 work out the median
Answer: suckkkkkkkdbejehejjssjsj
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
just trust me
100 points!!!
A movie theater charges for a ticket based on the age of the moviegoer. For individuals under the age of 12, the price is $5. For those who are 12 or older, but younger than 55, tickets are $9. A special rate for those 55 and over is available for the scenario.
Write a piecewise function to represent the scenario.
f(x) =
How much would it cost a 16 year-old to see the movie?
How much would it cost at 12 year old to see the movie?
For moviegoers who are younger than 12 years old, the ticket price is a fixed amount of $5. This is represented by the first rule of the piecewise function
f(x) = $5 if x < 12For moviegoers who are 12 years old or older, but younger than 55, the ticket price is also a fixed amount, but this time it is $9. This is represented by the second rule of the piecewise function
$9 if 12 <= x < 55For moviegoers who are 55 years old or older, a special rate is available, and the ticket price is $7. This is represented by the third rule of the piecewise function
$7 if x >= 55So, for a 16 year-old, the ticket price would be $9.
For a 12 year-old, the ticket price would also be $5.
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PLEASE HELP ASAP ILL GIVE 11 points
Answer:
11
Step-by-step explanation:
6^2 = 6 x 6 = 36
5^2 = 5 x 5 = 25
36 - 25 = 11
Step-by-step explanation:
everything can be found in the picture above
help please will mark brainliest
Answer:
1.) 20z^5
2.) 8m^5 · 6p^7 · 3mp^0
Step-by-step explanation:
4z^3 · z^2 · 5z
first, multiply 4z · 1z = 4z and add the exponents 3 + 2 = 5
4z^5 · 5z
multiply 4z · 5z and keep the exponents
20z^5
2m^3p^4 · 4m^2p^3 · 3mp^0
find just the "m" variables: 2m^3 · 4m^2 and same as before multiply then add the exponents = 8m^5
now do the same for the "p" variables: 3p^4 · 2p^3 = 6p^7
and for the "mp" variable: 3mp^0
put it all together and this is the simplest form because we don;t know the values of the variables:
8m^5 · 6p^7 · 3mp^0
Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!
NEED ANSWER ASAP!!!!!!!!!!
Find the slope from the following points:
(-9,3) (0,-7)
10/9
-10/9
-4/9
4/-9
Answer: -10/9
Step-by-step explanation:
Slope = (y2 - y1) / (x2 - x1)
= (-7 - 3) / (0 - (-9))
= (-7 - 3) / (0 + 9)
= -10 / 9
HELP ME PLS WILL MARK BRAINLISTT!!!!
Answer:
4,4
Step-by-step explanation:
Answer:
(5,3)
Step-by-step explanation:
visualize it on a graph
8th GRADE MATH NEED HELP I HAVE AN F and my parents r coming at me TY what is the slope for this scenario?
On the unit circle, where 0 < theta < or equal to 2pi, when is tan theta undefined?
A. Theta=pi and theta=2pi
B. sin theta = cos theta
C. theta = pi/2 and theta=3pi/2
D. sin theta = 1/cos theta
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.
To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).
Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.
At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.
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a pediatrician wants to determine the relation that exists between a child's height ( ) and head circumference ( ). she randomly selects 11 children from her practice and measures their height and head circumference in inches. she finds that the correlation is , and the regression equation is . what proportion of the variation in head circumference can be explained by the variation in the values of height? round your answer to three decimal places.
The proportion of variation in head circumference that can be explained by the variation in height was calculated to be approximately 49.8%.
A pediatrician can use correlation and regression analysis to determine the relationship between a child's height and head circumference. In this case, the pediatrician randomly selected 11 children from her practice and measured their height and head circumference in inches. The correlation between height and head circumference was found to be . The regression equation was also determined to be . To find the proportion of variation in head circumference that can be explained by variation in height, we can square the correlation coefficient (r) to get the coefficient of determination (r^2). So, r^2 = (.706)^2 = .498. This means that approximately 49.8% of the variation in head circumference can be explained by the variation in height among the 11 children in the sample. In summary, the pediatrician can use correlation and regression analysis to determine the relationship between a child's height and head circumference. The correlation coefficient was found to be , and the regression equation was determined to be .
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Factorise completely
16x²y + 10xy
Answer:
2xy(8x+5)
Step-by-step explanation:
take "2xy" as a highest common factor and divide the numbers in the question with the factor
Answer:
2xy(8x+5)
Step-by-step explanation:
'2xy' is the HCF of both of the terms
f(x)=-x^2-7x-2
Find f(−9)
Answer:
f(-9)=-9²-7×-9-2
f(-9)=81+63-2
f(-9)=144-2
f(-9)=142
Researchers at a food company are interested in how a new ketchup made from green tomatoes (and green in color) will compare to their traditional red ketchup. They randomly assign participants to either the green or red ketchup condition. Participants indicate the tastiness of the sauce on a 20-point scale. Tastiness scores tended to be skewed (not normal). What statistical test should be used to analyze that data
The statistical test which can be used to analyze the data is chi square test.
Given two categories of tomatoes , one is red and other one is green.
When we want to compare more than two categorical variables, we can use the chi-square test. The main objective of chi square test is to compare the distribution of responses or the proportions of participants in each response category. This test does not require mean, standard deviation or anything. In the given problem we have not given sample mean, population mean, population standard deviation, etc. So we cannot use z test, t test, f test because they require sample mean, population mean , standard deviation in their calculation. The formula to be use in chi square test is as under:
\(X^{2}=\)∑\((f_{0} -f_{e}) ^{2} /f_{e}\)
where \(f_{0}\)= observed frequency of each of response category.
\(f_{1}\)=expected frequency in each of the response categories.
We can find the critical value in a table of probabilities for the chi square distribution with degree of freedom df=K-1.
Hence we can use chi square test to analyze the data.
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The sales tax rate is 10%. If Bill buys a globe priced at $14.80,
what will be the total cost including tax?
The perimeter Of a rectangle is 30 inches if it’s Lance is three times it’s width find the dimensions.
Answer:
Width: 3.75
Length: 11.25
Answer:
the width is 3.75 inches. The length will be 3*3.75=11.25 inches.
Step-by-step explanation:
30 inches=2(L+W) Divide each side by 2. 15 inches=L+W Substitute for L.
A number that is no more than 20
Determine the relationship between the lines that passes through the given points:
Line A: (-3, 5) and (0, 7) Line B: (6,2) and (9, 4)
Answer:
Line A and Line B have the same slope (of 2/3) and are therefore parallel to each other.
What is the range for the set of data? 6, 7, 10, 12, 12, 13 11 7 6 13
Answer:
7
Step-by-step explanation:
the range is the difference between the highest and lowest value in a data set.
13 is the highest in the distribution
6 is the lowest in the distribution
13-6=7
Give brainliest, please!
Hope this helps :)
Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4. Show work.
I NEED THIS FAST LIKE PLEASEE HELP
Answer:
y = -1/6x - 1/2
Step-by-step explanation:
y = -1/6x + b
-1 = -1/6(3) + b
-1 = -1/2 + b
-1/2 = b
wich statements are true about boundary classes in object-oriented analysis?
The statements that are true about object-oriented analysis are: b) Control classes receive or handle system events, c) encapsulate behavior of use case, d) implement the controller pattern.
Object-oriented analysis and design (OOAD) is a technical method for analyzing and planning an application, system, or business using object-oriented programming and visual modeling to direct stakeholder communication and product quality throughout the software development process.
Modern software engineering practices typically involve iterative, incremental OOAD. Analysis models for OOA and design models for OOD are the byproducts of OOAD activities, respectively. The goal is for these to continuously improve and change, guided by important factors like risks and business value.
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Note that the full question is:
Which statements are true about control classes in object-oriented analysis? Select all that apply.
a) Control classes manage data structures.
b) Control classes receive or handle system events.
c) Control classes encapsulate behavior of use case.
d) Control classes implement the controller pattern.
On the fourth trial of this experiment, a student places some discs on the car by mistake. In 1-2 sentences, explain how this mistake will affect the graphs produced by the computer.
The acceleration produced by a car will decrease as its mass rises. Less acceleration will be recorded by the computer system, which will cause a drop in the acceleration value on the graph.
Graph:
An organized visual representation of any data in mathematics is called a graph. The graph shows the correlation between the variable values. In graph theory, a graph is used to represent the collection of objects that are somehow connected to one another. In essence, the objects' vertices or nodes are mathematical concepts, and the connections between the nodes are represented by the edges. Different types of graphs are used in mathematics and statistics to visually display data. The discipline of graph theory is the study of points and lines. It is a field of mathematics that specializes in the study of graphs. This image visually illustrates the mathematical truth. The graph theory is used to study relationships.
Complete question:
Use the image to answer the question. Students are using the experimental setup shown in the image in which the two ends of a string are attached to a car and to a hanger. The students conduct three trials in which they place metal discs on the hanger to manipulate the force applied to the car. As a result, the car accelerates along the table while two photogate probes collect motion data. On the fourth trial of this experiment, a student places some discs on the car by mistake. In 1-2 sentences, explain how this mistake will affect the graphs produced by the computer.
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the number of hours worked per year per person in a state is normally distributed with a standard deviation of 39. a sample of 15 people is selected at random, and the number of hours worked per year per person is given below. calculate the 98% confidence interval for the mean hours worked per year in this state. round your answers to the nearest integer and use ascending order. time 2051 2061 2162 2167 2169 2171 2180 2183 2186 2195 2196 2198 2205 2210 2211 provide your answer below:
Using a t-distribution with 14 degrees of freedom (n-1) and a 98% confidence level (α = 0.02/2 = 0.01 for each tail), we have:
sample mean (x) = (2051+2061+2162+2167+2169+2171+2180+2183+2186+2195+2196+2198+2205+2210+2211)/15 = 2180.6
sample standard deviation (s) = 39
standard error of the mean (SEM) = s/√n = 39/√15 ≈ 10.077
t-score for a 98% confidence level and 14 degrees of freedom (from t-distribution table or calculator) = 2.977
Margin of error (ME) = t-score × SEM = 2.977 × 10.077 ≈ 30.05
Therefore, the 98% confidence interval for the mean hours worked per year in this state is:
(x- ME, x+ ME) = (2180.6 - 30.05, 2180.6 + 30.05) = (2150, 2211)
Rounding to the nearest integer and putting the limits in ascending order, we get:
(2150, 2211)
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please help me I
\( {x}^{2} - {y}^{2} + 4y - 4\)
Answer:
\( {x}^{2} - {y}^{2} + 4y - 4 \\ \\ {x}^{2} - ( {y}^{2} .2.y.y + {2}^{2} ) \\ \\ {x}^{2} - (y - 2) {}^{2} \\ \\ (x + y - 2)(x - y + 2)\)
Answer:
hope it's was helpful to you
Click on the measurement that is equal to 20 liters.
A)20.000 milliliters
B)2,000 milliliters
C)2 milliliters
D)200 milliliters
Answer:
A.
Step-by-step explanation:
20000milliters = 20litres
Answer:
20 000 ml
Step-by-step explanation:
1 l = 1000 ml