The values of a, b and c on the quadratic function are given as follows:
a. a = -2, b = 0, c = 0.
How to obtain the coefficients of a quadratic function?The standard definition of a quadratic function is given as follows:
y = ax² + bx + c.
The coefficients are given as follows:
a, b and c.
The function in this problem is given as follows:
y = -2x².
Hence the coefficients are given as follows:
a = -2, b = 0, c = 0.
Hence option a is the correct option in the context of this problem.
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2. Invasive weed species can grow quickly. One variety grows up to 1.65 ft per day. How fast in inches per minute can this weed grow? Show your work using the correct conversion factors and make sure all conversion factors are labeled with appropriate units. You should have more than one conversion factor shown.
Show you work please :)
Answer:
0.825 inches per hour
Step-by-step explanation:
Invasive weed species can grow quickly. One variety grows up to 1.65 ft per day. How fast in inches per minute can this weed grow?
FACTS:
the weed grows up to 1.65 feet per day
there are 12 inches in 1 foot
there are 24 hours in 1 day
First, lets figure how many inches the weed can grow in one day:
= daily growth in feet per day * inches in 1 foot
= 1.65 feet * 12 inches
= 19.8 inches a day
If the weed can grown 19.8 inches a day, and there are 24 hours in a day:
= growth in inches per day/24 hours in 1 day
=19.8/24
= 0.825 inches per hour
The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10? A graph entitle House Sales shows Number of Days on the x-axis, from 0 to 12, and Number of Houses Sold on the y-axis, from 0 to 12. A line connects 5 points. The points are (0, 0), (2, 8), (6, 6), (10, 2), (12, 4). Negative four-thirds Negative three-fourths 6 8
Answer:
-3/4
Step-by-step explanation:
Answer:
-3/4 on EDG 2020
Step-by-step explanation:
Got it Right :)
1) A student has a Math placement of Math 111, Math 100 and Math 102+. What course should the student first start with according to their placement results to then continue to get to Math 103E?
The placement results provided, the student should start with Math 100.
The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.
To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.
Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.
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Red Lobster Bill is $43 Leaving a 15% tip What is the final bill?
Answer:
49.45
Step-by-step explanation:
15% of 43 dollars is 6.45 and 43+6.45 is 49.45
Answer:
$49.45
Step-by-step explanation:
$6.45 tip + the subtotal, $43 = $49.45.
Find an autonomous differential equation with all of the following properties:
equilibrium solutions at y=0 and y=3,
y' > 0 for 0
y' < 0 for -inf < y < 0 and 3 < y < inf
dy/dx = ______
dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.
The autonomous differential equation that satisfies all of the given properties is dy/dx = (y-3)(y+3). This equation has two equilibrium solutions at y = 0 and y = 3, and is positive for -inf < y < 0, and negative for 0 < y < 3, and positive for 3 < y < inf.
To demonstrate this, let's consider the equation at y=-3. Since y=-3 is less than 0, the equation can be simplified to dy/dx = 6. Since 6 is positive, y' is also positive, meaning that y is increasing. Similarly, if y=3, dy/dx = 0 which is neither positive nor negative, so y remains constant. Finally, for y>3, dy/dx = -6, which is negative, so y is decreasing.
Therefore, dy/dx = (y-3)(y+3) is the autonomous differential equation that satisfies all of the given properties.
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Every new computer costs $702.37 from a local store. The nearby school has a policy that every 3 children must have at least 1 computer. If each class has 24 children, how much money should the school spend on computers if there is 17 classes?
Division is one of the four fundamental arithmetic operations. The amount of money the school needs to spend on computers is $95,522.32.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
The number of students in a class is 24, while the number of classes is 17. Therefore, the number of students in the classes should be,
\(\text{Total number of students} = 24 \times 17 = 408\)
Now, since, there should be a computer for every 3 students, therefore, the number of computers that will be needed are,
\(\text{Number of computer} = \dfrac{\text{Number of students}}{3} = \dfrac{408}{3} = 136\)
The cost of a single computer is $702.37, therefore, the cost of 136 computers will be,
\(\rm Total\ cost= (\text{Cost of a single computer}) \times 136\\\\ Total\ cost= (\$702.37) \times 136\\\\ Total\ cost= \$95,522.32\)
Hence, the amount of money the school needs to spend on computers is $95,522.32.
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what is the point group for each of the following substituted cyclobutanes? assume that the four-membered ring is flat and that replacing h with x or y changes no other structural parameters.
The point group of a substituted cyclobutene can be determined by examining its symmetry elements.
In group theory, point groups are used to describe the symmetry of a molecule. The point group of a molecule can be determined by examining its symmetry elements, such as rotation axes, reflection planes, and inversion centers.
In the case of substituted cyclobutene, we can assume that the four-membered ring is flat and that replacing hydrogen atoms with other substituents, such as X or Y, does not affect any other structural parameters.
Now, let's consider the point groups for two substituted cyclobutene: 1,1-dimethylcyclobutane and 1,2-dimethylcyclobutane.
1,1-dimethylcyclobutane has two methyl groups attached to the same carbon atom. The symmetry elements of this molecule include a C2 axis that passes through the two methyl groups and perpendicular to the plane of the ring. There are also two perpendicular mirror planes that bisect the ring and pass through the carbon atom with the two methyl groups.
Using the point group flowchart, we can determine that the point group for 1,1-dimethylcyclobutane is C2v.
On the other hand, 1,2-dimethylcyclobutane has two methyl groups attached to adjacent carbon atoms. This molecule has a C2 axis that passes through the two methyl groups and the ring, as well as two perpendicular mirror planes that bisect the ring and pass through the carbon atoms with the methyl groups.
Using the point group flowchart, we can determine that the point group for 1,2-dimethylcyclobutane is Cs.
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Val's whole-house central air conditioner uses 2,500 watts when running. Val runs the AC 5 hours per summer day. Electricity costs (12 cents)/(1 kilowatt-hour). How much does Val's AC cost to run for a summer month of 30 days?
The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Quantity of electricity used in kilowatts is;
1000 watts = 1 kilowatts
2,500 watts = 2.5 kilowatts
Given that Number of hours Val runs AC per day = 5 hours
Number of days = 30 days
Cost of electricity = $0.18 kilowatts per hour
The Cost of Val’s AC to run for a summer month of 30 days can be calculated as;
= Quantity of electricity used × Number of hours Val runs AC per day × Number of days × Cost of electricity
= 2.5 × 5 × 30 × 0.18
= $67.5
The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.
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What type of distribution is pictured in this histogram?
Responses
Bimodal
Normal
Skewed
The type of distribution pictured in this histogram is skewed.
What is a skewed distribution?
A skewed distribution is a statistical distribution that is not symmetrical around its mean or median.
In a skewed distribution, the tail of the distribution is pulled in one direction or the other, resulting in a longer tail on one side than the other.
There are two types of skewed distributions: positively skewed and negatively skewed.
The distribution in the image is positively skewed as its is pulled towards the left.
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(6x + 1) + (-8x – 2) HELP FAST!!!
Answer:
-2x-4 is the answer
Step-by-step explanation:
................
21.7.3 Quiz: Intersecting Lines and Proofs
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
R
P
T
D
B
The pairs of angles that are vertical angles in the figure are R and T.
In the figure provided, vertical angles are formed by the intersection of two lines. Vertical angles are always congruent (equal in measure) to each other.
Looking at the given options:
R and T are vertical angles because they are formed by the intersection of lines.
P and D are not vertical angles. They are adjacent angles formed by the intersection of lines, but they are not directly opposite each other.
Therefore, the pairs of angles that are vertical angles in the figure are:
R and T
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There are 26 boys and 20 girls in a class.
The boys and the girls have some counters.
The mean number of counters that the boys have is 28.
The mean number of counters that the girls have is 19.
Work out the mean number of counters the 46 children have.
Computing the total number of counters in the class as 1,108, the mean number of counters that the 46 children have is 24.
What is the mean?The mean refers to the average value.
The average is the quotient of the total value divided by the number of items in the data set.
The number of boys in the class = 26
The number of girls in the class = 20
The total number of boys and girls in the class = 46
The mean number of counters that the boys have = 28
The total number of counters that the boys have = 728 (28 x 26)
The mean number of counters that the girls have =19
The total number of counters that the girls have = 380 (19 x 20)
The total number of counters that the class has = 1,108 (728 + 380)
The average or mean number of counters in the class = 24 (1,108 ÷ 46)
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A sweater has an original price of $65. It is on sale for 25% off. What is the amount of the discount?
Answer:
16.25
65 x 0.25 = 16.25
If another type of question the total price would be 48.75 :)
can someone help me please be correct I really need someone help
Answer:
b
Step-by-step explanation:
just because not 100% sure but if i remember correctly how to do it its b
It is 1.9 miles from a house to a restaurant and 1.2
miles to a pier, as shown at the right. The angle
between the two lines of sight is 87°. How far is it from
the pier across the water to the restaurant.
9514 1404 393
Answer:
2.2 miles
Step-by-step explanation:
The Law of Cosines can be used to figure this.
c² = a² +b² -2ab·cos(C)
c² = 1.2² +1.9² -2(1.2)(1.9)cos(87°) ≈ 4.811348
c ≈ √4.811348 ≈ 2.193
It is about 2.2 miles across the water from the pier to the restaurant.
A pet store has 11 puppies, including 4 poodles, 5 terriers, and 2 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random with replacement (they may both select the same one), find the probability that Rebecka selects a terrier and Aaron selects a retriever.
The probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121
How to determine the probability?The distribution of the puppies is given as:
4 poodles, 5 terriers, and 2 retrievers
The probability of selecting a terrier is;
P(terrier) = 5/11
The probability of selecting a retriever is;
P(retriever) = 2/11
The required probability is
P = 5/11 * 2/11
Evaluate
P = 10/121
Hence, the probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121
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A 350-seat movie theater charges $10.50 admission for adults and $7.50 for children. If the theater is full and $3411 is collected, how many adults and how many children are in the audience (Note: You may use any method to solve the problem.)
Answer:
Hence 262 adults and 88chidren are in the audience
Step-by-step explanation:
Let the number adults be x
Let the number of children be y
If there are 350seats in the theatre then;
x+y =350 .... 1
Also if $10.50was charged for adults and $7.50 for children with total amount of $3411, then;
10.50x + 7.50 y = 3411..... 2
Solve simultaneously
From 1, x = 350-y
Substitute into 2:
10.50(350-y) +7.50y = 3411
3675-10.5y+7.50y = 3412
3675-3y = 3411
-3y = 3411-3675
-3y = -264
y = 264/3
y = 88
From 3: x = 350-y
x = 350-88
x = 262
Hence 262 adults and 88chidren are in the audience
Find all values of n for which the equation has two complex (non-real solutions)
6r² = 8r+ (n + 4)
Answer:
When n < - 6 2/3 the given equation has two complex solutions------------------------------
Given is a quadratic equation:
6r² = 8r+ (n + 4) ⇒ 6r² - 8r - (n + 4) = 0A quadratic equation has no real solutions if its discriminant is negative.
The discriminant of ax² + bx + c is:
D = b² - 4acApply to given equation:
D = (-8)² - 4*6*( - (n + 4)) = 64 + 24(n + 4) = 64 + 24n + 96 = 24n + 160Find the value of n when D < 0:
24n + 160 < 024n < - 160n < - 160/24 n < - 20/3 n < - 6 2/3The graph and table each show a proportional relationship between the number of miles traveled and the
advertised number of gallons of gas used for the two car models, A and B, respectively. Based on the
graph and table, car A can travel how many times the distance car B can travel when both cars use
1 gallon of gas? Write your answer as a decimal.
Enter your answer in the box
1.25
To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.
For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.
For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.
To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:
25/20 = 1.25
Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.
Simplify:
(7 + 2i)(9 - 6I)
Answer:
27
Step-by-step explanation:
hope this helped <3
DIRECTION: Determine the validity of the following arguments.
Note that the above is solved using a Truth Table. The truth table is attached accordingly. Note that the argument is invalid
What is a truth table?A truth table is a table that displays all possible combinations of truth values for the propositional variables in a logical expression and the resulting truth value of the expression.
It is an important tool in logic as it enables us to determine the validity of arguments, identify tautologies and contradictions, and simplify complex expressions. Truth tables provide a systematic and rigorous method of evaluating logical expressions and reasoning about their truth values.
With respect to the table, since there is at least one row where all premises are true but the conclusion is false (the fifth row in this case), the argument is invalid
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Is an acute triangle less than 90 degrees?
Yes, an acute triangle less than 90 degrees
what is acute triangle?
An acute angled triangle is one in which all of the angles are fewer than 90 degrees. One such illustration of an acute angled triangle is the one below.
Hence the triangle less than 90 degrees is acute angle
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Zero(s) of multiplicity one:
Zero(s) of multiplicity two:
Zero(s) of multiplicity three:
Please look at photo for the full question. Thank you.
The zeros and the multiplicities are
Zero(s) of multiplicity one: x = 6Zero(s) of multiplicity two: x = 11Zero(s) of multiplicity three: x = -6 and x = -5How to determine the zeros and the multiplicitiesfrom the question, we have the following parameters that can be used in our computation:
f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³
The power of each factor are the multiplicities
So, we have
Zero(s) of multiplicity one:
x - 6 = 0
Zero(s) of multiplicity two:
x - 11 = 0
Zero(s) of multiplicity three:
x + 6 = 0 and x + 5 = 0
When evaluated, we have
Zero(s) of multiplicity one:
x = 6
Zero(s) of multiplicity two:
x = 11
Zero(s) of multiplicity three:
x = -6 and x = -5
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(4x + 24)/x
since the expression is an integer, x
How many different integer values are there?
Step-by-step explanation:
this is an integer of the interior comes from into juice
Answer:
x= -8
Step-by-step explanation:
4x+ 24= x
4x - x = -24
3x = -24
x = -24/3
x = -8
D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is mZDEF?
Answer: \(m\angle DE F=90^{\circ}\)
Step-by-step explanation:
The slope of \(DE\) is \(\frac{7-3}{5-4}=4\).
The slope of \(EF\) is \(\frac{3-2}{4-8}=-\frac{1}{4}\).
Thus, \(DE \perp EF\), meaning \(m\angle DE F=90^{\circ}\).
Si seis conejos necesitan 10 sacos de comida a la semana, ¿cuántos sacos necesitarán nueve conejos para comer durante una semana?
Therefore, nine rabbits will need 7.5 sacks of food for one week.
What is unitary method?The unitary method is a mathematical technique that involves finding the value of a single unit to determine the value of a given number of units. It is a method of solving mathematical problems that involve proportional relationships between quantities. The unitary method is commonly used in various areas of mathematics, such as algebra, arithmetic, and geometry. It is also used in everyday life to solve problems related to money, time, distance, and other quantities.
Here,
To solve this problem, we can use proportionality. We know that the number of sacks of food needed is directly proportional to the number of rabbits.
Let x be the number of sacks needed for 9 rabbits. Then, we can set up the following proportion:
6/10 = 9/x
Cross-multiplying, we get:
6x = 90
Dividing both sides by 6, we get:
x = 15/2 or 7.5
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Complete question:
If six rabbits need 10 sacks of food per week, how many sacks will nine rabbits need to eat for one week?
What is |-14|?
A. -14
B. -7
C.7
D. 14
E. 1/14
Answer:
D) 14
Step-by-step explanation:
Absolute value |x| is defined as the distance x from 0.
Basically, whatever is in the absolute value sign cannot be negative
Which set of ordered pairs represents a linear relationship?
A {(0, 1), (2, 2), (-2, 0), (4,3)}
B. {(0, -2), (1, 1), (-1,-3), (2, 3)}
C. {(0, -1), (1, 1), (-1,-2), (2,3)}
D. {(0, -2.5), (5, 2.5), (1, -2.5), (-1, -3.5)}
Answer:
A
Step-by-step explanation:
-99.7%-95%68%The figure illustrates a normaldistribution for the prices paid for aparticular model of a new car. The meansis $19,000 and the standard deviation is$500.Use the 68-95-99.7 Rule to find thepercentage of buyers who paid between$17,500 and $19,000.Number of Car Buyers20.50017.500 18.000 18500 19.000 19.500 20.000Price of a Model of a New CarWhat percentage of buyers paid between $17,500 and $19,000?%
The 68-95-99.7 rule states that:
• 68% of the data is expected to be within one standard deviation from the mean.
• 95% of the data is expected to be within two standard deviations from the mean.
• 99.7% of the data is expected to be within three standard deviations from the mean.
Then, when the mean is $19,000 and the standard deviation is $500, we can estimate how many standard deviations we are from the mean for the values $17500 and $19000 calculating the z-score:
\(\begin{gathered} z_1=\frac{X_1-\mu}{\sigma}=\frac{17500-19000}{500}=\frac{-1500}{500}=-3 \\ z_2=\frac{X_2-\mu}{\sigma}=\frac{19000-19000}{500}=\frac{0}{500}=0 \end{gathered}\)Then, we have three standard deviations to the left and no standard deviation from the mean for the right boundary.
We can picture this in the normal distribution curve as:
This is half the amount of data that if we have 3 standard deviations to each side of the mean, so we can expect to have 99.7% / 2 = 49.85% of the data within these limits.
Answer: 49.85%
using the line of best fit
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
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