Answers
The least possible degree of the polynomial function shown is 3.
How to determine the degree of a polynomial?The degree of a polynomial is the highest exponent of the variable in the polynomial equation.
For example, in the polynomial equation y = 2x³ + 5x² - 3x + 1, the degree of the polynomial is 3, because 3 is the highest exponent of x.
If the graph of a polynomial has a shape that resembles a stretched or compressed "S" curve, such as the one given, then the polynomial is a cubic function with a degree of 3.
The equation of a cubic function is same as the one provided above, so we can conclude that the least possible degree of the polynomial is 3.
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Related Questions
The elevation of Sports Authority Field in Denver, Colorado is 5280ft. If this is 275ft higher than seven times the elevation of Lucas Oil Field in Indinapolis, what is the elevation of Lucas Oil Field?
Answers
Answer:
The elevation of Lucas Oil Field is of 715 feet.
Step-by-step explanation:
Elevation of Sports Authority Field:
Of 5280 ft.
Compared to Lucas Oil Field:
275ft than seven times the Lucas Oil Field elevation of x.
Equation:
\(275 + 7x = 5280\)
What is the elevation of Lucas Oil Field?
Solving the above equation:
\(7x = 5280 - 275\)
\(7x = 5005\)
\(x = \frac{5005}{7}\)
\(x = 715\)
The elevation of Lucas Oil Field is of 715 feet.
Samuel collected 30 signatures from fifth-grade students at his school. He noticed that 3/5 of the signatures were done in pencil. How many of the signatures were done in pencil?
Answers
Answer:
30 / 5 = 6.
6x3=18
Step-by-step explanation:
Hope this helped! Have a great day!
Answer:
18
Step-by-step explanation:
if you divide 30 by 5 (30/5) and multiply 3 by that number you will get your answer of 18/30 signatures
find each sum.
1)-9+(-2)
2)3.2+1.4
3)5.1+(0.7)
4)2.2+(-3.8)
Answers
Answer:
1. 18
2. 0.36
3. 3. 57
4. -7. 36
Solve the equation
2^2x+1 +5(2^x) -3=0
Please help
Answers
Answer:
The answer is -1
Step-by-step explanation:
2^(2x+1) = 2^2x × 2^1 = 2^2x × 2
after this we can make appointments
2^x = t
and then solve it :)
A = 2/3 mb solve for b
Answers
\(b=\frac{3A}{2m}\).
Step-by-step explanation:1. Write the expression.\(A = \frac{2}{3} mb\)
2. Multiply by the reciprocal of the fraction.\(\frac{3}{2} A = \frac{2}{3} mb*\frac{3}{2}\\ \\\frac{3}{2} A =mb\)
3. Divide both sides by m and simplify.\(\frac{\frac{3}{2} A}{m} =\frac{mb}{m} \\ \\\frac{\frac{3}{2} A}{m} = b\\ \\\frac{3}{2}*\frac{A}{m} =b\\ \\\frac{3A}{2m}=b\\\\ b=\frac{3A}{2m}\)
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One number exceeds another by 6 and their sum is 16. Find the two numbers.
Answers
Answer:
answer is 11 or 5
Step-by-step explanation:
x+y=16 ------ 1
x-y= 6 ------ 2
______
2x = 22
x =22/2 =11
put the value of x on equation 1
x+y =16
11+y =16
y =16-11 =5
Fill in the table of value for the equation y = 2x + 1
Answers
Answer:
To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:
x y
0 1
1 3
2 5
3 7
4 9
To get the value of y, we substitute each value of x into the equation and simplify:
When x = 0:
y = 2(0) + 1 = 1
When x = 1:
y = 2(1) + 1 = 3
When x = 2:
y = 2(2) + 1 = 5
When x = 3:
y = 2(3) + 1 = 7
When x = 4:
y = 2(4) + 1 = 9
Therefore, the table of values for the equation y = 2x + 1 is:
x y
0 1
1 3
2 5
3 7
4 9
HELP PLEASE ASAP!! ILL GIVE BRAINLIEST IF YOU CAN HELP :)
Part 1: Answer the following questions (20 points)
1. Name and describe the components needed to make a complete circuit.
2. Compare and contrast a series and parallel circuit. Give at least one way that they are alike and one way that they are different.
3. Ohm's law is represented by the equation I = V/R. Explain how the current would change if the amount of resistance decreased and the voltage stayed the same.
4. Define resistance and describe what would happen to a light bulb if the voltage increased but the resistance stayed the same.
Part 2: Design your own circuit (40 points)
Design a circuit and draw a circuit diagram using the proper symbols. Your circuit must contain a battery, a light bulb (if you would like to substitute another item that uses electrical power you may), a switch, an ammeter, and a resistor. After you draw your circuit, complete the questions which ask you to describe the circuit that you have created. You may hand draw the circuit and scan or fax the worksheet to submit for grading. Or you may use a draw/paint program to create your circuit in the space provided.
Circuit Diagram:
Question 1: Is the circuit you created a parallel, series or a series/parallel circuit? Support your answer with a description of this type of circuit.
Question 2: What is the purpose of the resistor in your circuit?
Question 3: How does the switch work?
Question 4: Describe the path of the electric current through your circuit.
Question 5: Explain how your battery works. (You may want to look at the Electric Current lesson) What are some possible materials you could use to make your battery?
Answers
Answer: part 1
1. You need a Source of electric power (battery or generator), a load to absorb the power (lamp, motor, heating coil) and wiring to connect the load to the power source!
2. they both give off electricity energy, and they are different because they dont release the same amount of energy
3. Current will increase
Explanation:
In Ohm's law the equation for current is current = voltage / resistance.
In order to explain how current is effected when resistance decreases while voltage stays the same, lets represents the situations with some possible inputs.
Let's compare 3 different closed circuits all with a voltage of 10V.
In circuit 1, the resistance is 5 ohm.
In circuit 2, the resistance is 2 ohms.
In circuit 3, the resistance is 1 ohms.
The current of:
Circuit 1 = Voltage / Resistance = 10 V / 5 ohms = 2 Amps
Circuit 2 = Voltage / Resistance = 10V / 2 ohms = 5 Amps
Circuit 3 = Voltage / Resistance = 10V / 1ohm = 10 Amps
As you can see in this representation, as the resistance in a circuit increases while the voltage is constant, the total current is increased.
4. The resistance of a conductor is the ratio of the voltage
between its ends to the current through it.
If the voltage between the ends of a light bulb's filament
increases but the filament's resistance remains constant,
then the current through it increases by the same factor
as the voltage increase. The effect is to cause the light
to emit more light and heat ... both increase proportional
to the square of the voltage ... and possibly to "burn out".
Part 2
1. it's a circuit wherein all the elements are in parallel and a resistance is fitted in series across which a voltmeter is connected to measure potential drop acrossR so as to find the current across the load that is bulb which connected to in series with the resistor
2. A resistor is a passive two-terminal electrical component that implements electrical resistance as a circuit element. In electronic circuits, resistors are used to reduce current flow, adjust signal levels, to divide voltages, bias active elements, and terminate transmission lines, among other uses.
3. The switch simply opens (off) or closes (on) the connection between the two terminals on the switch. When the switch is on, current flows along the black wire through the switch to the light, and then returns to ground through the white wire to complete the circuit.
4. the current runs through the motherboard and into the smaller components or the small internal wiring
5. A battery is made up of three parts. The Cathode (positive end +) , the Anode (negative end -) and the electrolyte. The electrolyte allows electrical charges to travel between the cathode and anode. This chemical reactions creates the flow of electricity supplying the electrical voltage potential to power a circuit.
Typical materials of a battery are as follows
- Anode most often is made of zinc
- Manganese dioxide acting as Cathode.
- the electrolyte between and inside contains ions
Hope this help
To make a complete circuit, you need three basic components: a power source, such as a battery, a load, such as a light bulb, and a conductor, such as a wire, to connect the two.
What is an electric circuit?The electric circuit is a closed-loop or path that forms a network of electrical components, where electrons can flow.
To make a complete circuit, you need three basic components: a power source, such as a battery, a load, such as a light bulb, and a conductor, such as a wire, to connect the two.The power source provides the electrical energy that flows through the conductor to the load, which converts electrical energy into other forms of energy, such as light or heat.
A series circuit is a circuit in which the components are connected end-to-end so that the current flows through each component in turn.A parallel circuit is a circuit in which the components are connected across each other so that the current is divided among them.
One way that series and parallel circuits are alike is that they both require a complete path for the current to flow.
One way that they are different is that the total resistance in a series circuit is equal to the sum of the individual resistances, whereas, in a parallel circuit, the total resistance is less than the smallest individual resistance.
According to Ohm's law, the current in a circuit is directly proportional to the voltage and inversely proportional to the resistance.If the amount of resistance decreases and the voltage stays the same, the current will increase.
This is because a lower resistance allows more current to flow for a given voltage.
Resistance is the measure of how much a material opposes the flow of electrical current. It is measured in units of ohms.
If the voltage increases but the resistance stays the same, the current will also increase.
This is because according to Ohm's law, the current is directly proportional to the voltage and inversely proportional to the resistance.
Therefore, if the voltage increases, the current must also increase to maintain the same level of resistance. If the current exceeds the rating of the light bulb, it may burn out or even explode.
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aight can someone help me lol
Answers
PLEASE HELP MEH I WILL GIVE THA BRAINLIST
Answers
Answer:
D
Step-by-step explanation:
Answer:
please use mathaway it will help get very math answer right.
Step-by-step explanation:
Hope it helps
What is the intermediate step in the form
(x+a)^2=b as a result of completing the square for the following question
Answers
The intermediate step in completing the square is\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\)
To complete the square for the equation \($(x+a)^2=b$\), we can follow these steps:
1. Expand the left side of the equation: \($(x+a)^2 = (x+a)(x+a) = x^2 + 2ax + a^2$\).
2. Rewrite the equation by isolating the squared term and the linear term: \($x^2 + 2ax = b - a^2$\).
3. To complete the square, take half of the coefficient of the linear term, square it, and add it to both sides of the equation:
\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\).
4. Simplify the right side of the equation: \($x^2 + 2ax + (a^2) = b$\).
This step can be represented as: \(\[x^2 + 2ax + (a^2) = b - a^2 + (a^2)\]\)
This intermediate step helps us rewrite the equation in a form that allows us to factor it into a perfect square.
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what is the variable "d" equal to in the equation 2d + 13
Answers
Answer:
d=-6.5
Step-by-step explanation:
2d+13=0
2d=-13
d= -13/2
d=-6.5
A bag contains 8 green candies and 4 red candies. You randomly select one candy at a time to eat. If you eat five candies, there are relatively prime positive integers m and n so that m n is the probability that you do not eat a
green candy after you eat a red candy. Find m + n.
Answers
If m/n is the probability that you do not eat green candy after you eat a red candy, then m + n is 6.
A bag contains 8 green candies and 4 red candies. If you eat five candies, there are relatively prime positive integers m and n so that m/n is the probability that you do not eat green candy after you eat a red candy. Below list the ways to accomplish this ordering along with their respective probabilities:
GRRRR : \(\frac{8}{12}\times\frac{4}{11} \times\frac{3}{10} \times\frac{2}{9} \times\frac{1}{8}\)
GGRRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{4}{10} \times\frac{3}{9} \times\frac{2}{8}\)
GGGRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{4}{9} \times\frac{3}{8}\)
GGGGR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)
GGGGG : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)
The sum is \(\frac{8\times3\times4(2+14+42+70+70)}{12.11.10.9.8}\)
Probability that you do not eat green candy after you eat a red candy =\(\frac{1}{5}\)
so m = 1 and n = 5
m + n =6
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The sum of two numbers is 41. The larger number is 17 more than the smaller number. What are the numbers?
Larger number:
Smaller number:
Answers
Let x - 17 = the smaller number
x + x + 17 = 41
2x + 17 = 41
2x = 58
x = 29
x - 17 = 29 - 17 = 12
The expression cot theta - csc^2theta/cot theta simplifies to what expression?
Answers
ANSWER :
-tan θ
EXPLANATION :
Note that :
\(\begin{gathered} \cot\theta=\frac{\cos\theta}{\sin\theta}\quad,\quad\csc\theta=\frac{1}{\sin\theta} \\ \\ -\sin^2=\cos^2\theta-1 \end{gathered}\)From the problem, we have :
\(\cot\theta-\frac{\csc^2\theta}{\cot\theta}\)Subsitute the identities :
\(\begin{gathered} \frac{\cos\theta}{\sin\theta}-\frac{\frac{1}{\sin^2\theta}}{\frac{\cos\theta}{\sin\theta}}=\frac{\cos\theta}{\sin\theta}-(\frac{1}{\sin^2\theta})(\frac{\sin\theta}{\cos\theta}) \\ =\frac{\cos(\theta)}{\sin(\theta)}-\frac{1}{\sin\theta\cos\theta} \\ =\frac{\cos^2\theta-1}{\sin\theta\cos\theta} \\ =\frac{-\sin^2\theta}{\sin\theta\cos\theta} \\ =\frac{-\sin\theta}{\cos\theta} \\ =-\tan\theta \end{gathered}\)The answer is -tan θ
Which ordered pair is a solution to the system of linear equations? x + 4y = 3 y = −4x − 3 (1, 1) (1, −1) (−1, 1) (−1, −1)
Answers
Answer:
(-1,1)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
equation form:
x=-1, y=1
have a great day and thx for your inquiry :)
By substituting each of the provided options into the given system of linear equations, it is revealed that the ordered pair (-1, 1) is a valid solution for both the equations.
The correct answer is (-1, 1)
In mathematics, a system of linear equations consists of multiple linear equations with the same variables. These equations describe various relationships among these variables, typically representing lines in a multi-dimensional space. Solving such systems involves finding values for the variables that satisfy all equations simultaneously. Methods like substitution, elimination, or matrix algebra can be used to solve these systems. These systems are fundamental in fields like physics, engineering, economics, and computer science for modeling and solving real-world problems involving multiple interconnected variables.
We can solve this problem by substituting values from the given options into the equations and checking for which option both equations are valid. The system of linear equations is: x + 4y = 3 and y = -4x - 3.
Option (1, 1): For x = 1 and y = 1, our system becomes 1 + 4*1 = 5 and y = -4*1 - 3 = -7. Both do not hold true.Option (1, -1): For x = 1 and y = -1, our system becomes 1 + 4*-1 = -3 and y = -4*1 - 3 = -7. Both do not hold true.Option (-1, 1): For x = -1 and y = 1, our system becomes -1 + 4*1 = 3 (correct) and y = -4*-1 - 3 = 1 (correct). Thus, option (-1, 1) is a solution to the system of equations.Option (-1, -1): For x = -1 and y = -1, our system becomes -1 + 4*-1 = -5 and y = -4*-1 - 3 = 1. Both do not hold true.Therefore, the ordered pair that is a solution to the system of linear equations is (-1, 1).
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Solve for h.........
Answers
the answer is h = -8.2
What are the factors of 36xyz?
Answers
Answer:
1
Step-by-step explanation:
Calculate the value of 5n for n= 100.
5n =
Answers
Answer: 500
Step-by-step explanation:
In this equation, N is 100. 5 is right next to N, with no symbols, which tells you to multiply. 100*5=500
find the missing value 1/2 equals 28 over X
Answers
Answer:
x = 56
Step-by-step explanation:
cross multiply. 28 times 2 and 1 times x. set them equal to each other and solve for x to get 56.
The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable. A mapping diagram with one circle labeled x values containing values negative 3, negative 1, 1, 3, and 5 and another circle labeled y values containing values 0, 2, and 5 and arrows from negative 3 to 0, negative 1 to 2, 1 to 0, 3 to 2, and 5 to 5. Is the relation a function? Explain. No, because for each input there is not exactly one output No, because for each output there is not exactly one input Yes, because for each input there is exactly one output Yes, because for each output there is exactly one input
Answers
Yes, because for each input there is exactly one output. Therefore, the relation represented by the mapping diagram is a function.
To determine if the relation represented by the given mapping diagram is a function, we need to check if each input (x value) has exactly one output (y value) associated with it.
From the given mapping diagram, we can see that:
The input value -3 is associated with the output value 0.
The input value -1 is associated with the output value 2.
The input value 1 is associated with the output value 0.
The input value 3 is associated with the output value 2.
The input value 5 is associated with the output value 5.
As we can see, each input value has exactly one output value associated with it. Therefore, the relation represented by the mapping diagram is a function.
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Multiply: 3,217 × 5,716
Answers
Answer:
Step-by-step explanation:
183,883,72
Answer:
18388372
Step-by-step explanation:
1 )Use the algorithm method.
3 2 1 7
× 5 7 1 6
1 1 1 4
1 9 3 0 2
3 2 1 7 0
2 1 1 4
2 2 5 1 9 0 0
1 1 3
1 6 0 8 5 0 0 0
1 1 1
1 8 3 8 8 3 7 2
==================step 2==================2 )Therefore, 3217 × 5716 = 18388372.
18388372
Faith earned $565 last week. She earned the same amount each
day. If she worked 5 days, how much did she earn each day? Draw
models to help you find the quotient.
Answers
Answer:
113 each day
Step-by-step explanation: i cant draw it out but just put it into a bubble or something sorry
Divide $565 by 5 and you get $113
So you would have 5 groups of 113
Which of the following sets of ordered pairs (x,y) is NOT a function of x?
A.
{(0,1),(1,0),(1,1)}
B.
{(0,0),(1,1),(2,2)}
C.
{(0,0),(1,1),(2,1)}
D.
{(0,1),(1,1),(2,1)}
Answers
Answer:
The answer is A.
Step-by-step explanation:
hope this helps
Jackson weighed all of his pet guinea pigs and found the average weight to be 2.4 pounds. If the standard error of the sample mean was 0.2227 and the sample standard deviation was 0.63 pounds, how many guinea pigs does Jackson have
Answers
Using the Central Limit Theorem, it is found that Jackson has 8 guinea pigs.
What does the Central Limit Theorem state?It states that the sampling distribution of sample means of size n has standard error \(s = \frac{\sigma}{\sqrt{n}}\), in which \(\sigma\) is the standard deviation of the population.
In this problem, we have that \(s = 0.2227, \sigma = 0.63\), hence we solve for n to find the number of guinea pigs that he has.
\(s = \frac{\sigma}{\sqrt{n}}\)
\(0.2227 = \frac{0.63}{\sqrt{n}}\)
\(0.2227\sqrt{n} = 0.63\)
\(\sqrt{n} = \frac{0.63}{0.2227}\)
\((\sqrt{n})^2 = \left(\frac{0.63}{0.2227}\right)^2\)
\(n = 8\)
Jackson has 8 guinea pigs.
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mr. salmon is getting pool ready for summer. The pool liner had some holes in it, so he decides to replace it. In order to replace the liner, the water must be drained from the pool. The pool holds 25,000 gallons of water, and it takes 8 hours to drain 80% of the water. the answer is 2 hours. Why is that the answer
Answers
Answer:
Because 8 hours to drain 80% would mean it takes 10 hours to completely drain the pool leaving the 2 hours to drain.
Step-by-step explanation:
Jen had $567.12 in her checking account. She deposited $80 that she earned mowing lawns. Then, Jen deposited her paycheck of $240.63. Finally, she wrote a check for $79.50 to pay her cell phone bill. What is Jen's balance now?
Answers
We know that
• Jen had $567.12 (initial balance).
,• She deposited $80.
,• She deposited again $240.63.
,• She wrote a check for $79.50.
Each deposit represents a positive number, and the check represents a negative number because it's money spent. So, let's represent the situation as an algebraic sum
\(567.12+80+240.63-79.50\)First, we add the positive numbers
\(887.75-79.50\)Then, we subtract the numbers
\(887.75-79.50=808.25\)Therefore, Jen's balance now is $808.25.5. On a cattle farm, the ratio of beef cattle to dairy cattle is 4:3.
3
(a) Interpret the ratio: For every
beef cattle, there are
cattle.
dairy
(b) If there are 24 dairy cattle, how many
beef cattle would there be? Show your
work.
Answers
For every 4 beef cattle there is 3 dairy cattle. For 24 dairy cattle there will be 32 beef cattle as per the given ratio of 3:4.
What is ratio?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.
Here,
a. No for every 4 beef cattle there is 3 dairy cattle.
b. 4/3=x/24
x=4*24/3
x=32 beef cattle
There are 3 dairy cattle for every 4 beef cattle. According to the stated ratio of 3:4, there will be 32 beef cattle for every 24 dairy cattle.
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Need help with homework
Answers
Domain interval are the interval for the x - values on the linear graph
Therefore the domain intervals from the attached graph is
\(-3\leq x\leq4\)A bakery is selling breakfast platters. A platter of 12 bagels costs $9.60. Additionally, it costs $8.80 for a gallon of coffee.
What is the slope of this situation?
0.80
0.73
9.60
8.80
Answers
The slope of this situation is equal to: A. 0.80.
How to calculate the slope of this situation?In Geometry, the rate of change of any straight line simply refers to its gradient or slope and it can be calculated by using this mathematical expression;
Rate of change (slope), m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Based on the information provided, we can logically deduce the following slope and data points on the line:
Points on x-axis = 12
Points on y-axis = 9.6.
Substituting the given data points into the slope formula, we have the following;
Rate of change (slope), m = 9.6/12
Rate of change (slope), m = 0.80.
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