In induction, you look for a pattern and then form an educated guess or
about it.
A. conjugation
B. conjunction
C. congruence
D. conjecture
SUBMIT
The answer is D: conjecture
The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.
The other answer choices are defined as follows:
A. conjugation - the act of changing a verb to agree with its subject
B. conjunction - a connecting word
C. congruence - the state of agreeing, matching, or coinciding
D. conjecture - an opinion or conclusion formed on the basis of incomplete information
So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.
Find the distance between M(4,−3) and N(−2,1) .
Answer:
√40 is answer
Step-by-step explanation:
distance between 2points =√(x2-x1)²+ (y2-y1)
=√(2+4)²+(-1+3)²
=√62+22
=√36+4
mark as brainlist
=√40
can someone please helpp
Answer:
c i think im kinda not smart and its 4 am so
Please help! What is the surface area of the cylinder with a height 4 m and radius 8 m? Round your answer to the nearest thousandth.
If u answer correctly u get 5 dollars on cahapp
The surface area of the cylinder is 603.19 square meters
Finding the surface area of the cylinderFrom the question, we have the following parameters that can be used in our computation:
Radius, r = 8 meters
Height, h = 4 meters
Using the above as a guide, we have the following:
Surface area = 2πr(r + h)
Substitute the known values in the above equation, so, we have the following representation
Surface area = 2π * 8 * (8 + 4)
Evaluate
Surface area = 603.19
Hence, the surface area is 603.19 square meters
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If 2 pounds of rib steak and 6 pounds of hamburger meat costs $12.30 and 3 pounds of rib steak and 2 pounds of hamburger meat costs $9.70, what is the cost per pound of each type of meat?
The cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.
To find the cost per pound of each type of meat, we can set up a system of equations based on the given information.
Let's denote the cost per pound of rib steak as 'x' and the cost per pound of hamburger meat as 'y'.
From the first statement, we know that:
2x + 6y = 12.30 ---(Equation 1)
From the second statement, we know that:
3x + 2y = 9.70 ---(Equation 2)
Now we can solve this system of equations to find the values of 'x' and 'y'.
Multiplying Equation 1 by 3 and Equation 2 by 2 to eliminate the 'x' term, we get:
6x + 18y = 36.90 ---(Equation 3)
6x + 4y = 19.40 ---(Equation 4)
Subtracting Equation 4 from Equation 3, we get:
14y = 17.50
Dividing both sides by 14, we find:
y = 1.25
Substituting the value of 'y' back into Equation 1, we can solve for 'x':
2x + 6(1.25) = 12.30
2x + 7.50 = 12.30
2x = 4.80
x = 2.40
Therefore, the cost per pound of rib steak is $2.40 and the cost per pound of hamburger meat is $1.25.
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Please answer the question (8TH GRADE?!)
if you can dont give me wrong answer
Answer:
reflection
Step-by-step explanation:
Which expression is not equivalent to −4x3+x2−6x+8?
The expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The expression given in the problem is
f(x)=-4x³+x²-6x+8
The option given as,
(1) x² (-4x+1)-2(3x-4)(2) x(-4x²- x + 6) + 8(3) -4x³ + (x - 2)(x - 4)(4) -4(x³ - 2) + x(x - 6)From the given expression, if we take out x from the first three terms, it looks like option 2.
f(x)=-4x³+x²-6x+8
f(x)=x(-4x²+x-6)+8
From the given expression, if the last three terms factored, it looks like option 3.
f(x)=-4x³+x²-6x+8
f(x)=-4x³+x^2-4x-2x+8
f(x)=-4x³+x(x-4)-2(x-4)
f(x)=-4x³+(x-4)(x-2)
Rearrange the given expression, and make it looks like option 4.
f(x)=-4x³+x²-6x+8
f(x)=-4x²+8+x²-6x
f(x)=-4(x³-2)+x(x-6)
Thus, the expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).
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The bookstore sells packages of 15 pens
each and 12 pencils each. They want the
same number of pens and pencils in their
next order. Find the smallest number of
packages of each they can buy.
Considering the definition of least common multiple, this means that smallest number of packages of each they can buy is 60.
Least common multipleA number is a multiple of another when it contains it exactly n times. In other words, the multiples of a number are the ones you get when you multiply one number by another.
The least common multiple allows us to know what is the smallest number that is a multiple of a certain set of numbers.
One procedure for calculating the least common multiple is to break each number into prime factors. Then the common and uncommon factors are raised to the highest exponent, which must be multiplied.
Smallest number of packagesTo calculate the smallest number of packages of each they can buy, you calculate the least common multiple.
First, the decomposition of the numbers into prime factors is carried out:
15= 3×5
12= 2×2×3= 2²×3
Then, the least common multiple is calculated as 2²×3×5
Solving, the least common multiple between 12 and 15 is 60.
Finally, this means that smallest number of packages of each they can buy is 60.
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What is development necessary?
Answer:
Development is necessary because without development a country cannot be developed and people cannot get enough raw materials.More people will suffer from poverty, health facilities and drinking water.
Each marble bag sold by Jane's Marble Company contains 4 purple marbles for every 5 red marbles. If a bag has 24 purple
marbles, how many red marbles does it contain?
There are 4x purple marbles and 5x red marbles, where x is the common factor.
4x = 24
x = 24/4 = 6.
ANSWER. 5*6 = 30 red marbles.
How to calculate the probability?The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur.
Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.
Give an example of a probability?The likelihood or chance of an event happening is known as probability. For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) = 12 is what we write.
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altitude is drawn from the vertex of an isosceles triangle, forming a right angle
and two congruent triangles. As a result, the altitude cuts the base into two
equal
segments. The length of the altitude is 36 inches, and the length of the base is 12
inches. Find the triangle's perimeter. Round to the nearest tenth of an
Answer:18
Step-by-step explanation:15 + 6 u add the 15 and the 6 for it to be 18
Linear sequence of 35/100,5/10,65/100
The linear rule for the sequence is f(n) = 7/20 + 3/20(n - 1)
Finding the linear rule for the sequenceFrom the question, we have the following parameters that can be used in our computation:
35/100,5/10,65/100
In the above sequence, we can see that 15/100 is added to the previous term to get the new term
This means that
First term, a = 35/100
Common difference, d = 15/100
The nth term is then represented as
f(n) = a + (n - 1) * d
Substitute the known values in the above equation, so, we have the following representation
f(n) = 35/100 + 15/100(n - 1)
So, we have
f(n) = 7/20 + 3/20(n - 1)
Hence, the explicit rule is f(n) = 7/20 + 3/20(n - 1)
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The sum of three consecutive odd integers is 123. Find the numbers.
For three consecutive odd integers to have the sum 123, the equation N + N+2 + N+4 = 123 must be solvable with N being an odd integer. Since 39 is an odd integer, the solution is 39, 41, and 43.
Explain how to obtain the equation 3x=6 from the given system.
-x+y=-3
6x-3y=15
PLEASE HELP ASAP
Answer:
Step-by-step explanation:
The box plot represents the number of hours of battery life in different cell phones. What is
the moximum battery life?
12
18
23
27
HE+
4 6 8 10 12 14 16 18 20 22 24 26 28 30
27 hours
18 hours
23 hours
30 hours
Answer:
We need the box plot mate
take a pic of it
02.01)Which is the ratio of the number of months that begin with the letter J to the total number of months in a year? 12 to 3 3 to 9 9 to 12 3 to 12 HELP!!! FOR MY MATH TEST
Answer:
3 to 12
Step-by-step explanation:
3 months (January, June, July) and 12 monthes
Answer: the answer is 3 to 12
Step-by-step explanation: hope this will help
Score. Name: Radius Easy: 51 Circle - Area Example: Area of a circle = ? Radius (t) = 4 ft 4 ft Area = 1 =TX 4x4 Area = 161 ft? Find the exact area of each circle. 3) 1) 2) 13 ft 12 in 5 yd. Area = Area = Area = 4) 5) 6) 7 in 10 ft .......... 8 yd Area = Area = Area = 7) 8) 9) «3ft ...byd . 11 in. Area= Area = Area = 1 NA
Answer:
1). 169π ft^2
2). 144π in^2
3). 25π yd^2
Explanation:
The area A of the circle is given by the formula
\(A=\pi r^2\)where π = 3.1415... and r is the radius of the circle.
To find the exact area of each circle, we put in the value of r and simply to get our result.
Question 1:
The radius r = 13 ft; therefore, the area is
\(\begin{gathered} A=\pi(13)^2 \\ A=169\pi\lbrack ft^2\rbrack \end{gathered}\)Question 2:
The radius r = 12 ft; therefore, the area is
\(\begin{gathered} A=\pi(12)^2 \\ A=144\pi\lbrack in^2\rbrack \end{gathered}\)Question 3:
The radius r = 5 yds; therefore, the area is
\(\begin{gathered} A=\pi(5)^2 \\ A=25\pi\lbrack yds^2\rbrack \end{gathered}\)
what is a fraction? please help
\(\huge\bold{ANSWER:}\)
A fraction is a part of a whole.
\(\huge\bold{EXPLANATION:}\)
A fraction is a part of a whole.
Fractions should be equal parts.
Example: Suppose you have a cake, and you want to divide it equally between your friends.
Let's assume there are 4 people (including you)
So, you take a knife and cut the cake into 4 equal parts.
Everyone gets a part of the cake. If the parts are equal, then we have fractions.
How to Write Fractions
Fractions are written with a numerator and a denominator.
A fraction looks like so:
\(\displaystyle\frac{1}{4}\)
In the above example, 1 is the numerator, and 4 is the denominator.
Let's use the cake example to clarify some doubts that you might have.
Suppose we have 4 girls: Angelia, Grace, Violetta and Hope, and a delicious cake.
Angelia takes a knife and cuts the cake into 4 equal parts, and everyone gets \(\displaystyle\frac{1}{4}\) of the cake.
Now, here's what I wanted to tell you:
\(\star\star\star\) There was a total of 4 pieces of the cake (the denominator shows that),
\(\star\) Each girl gets 1 out of 4 parts (\(\frac{1}{4}\))
What does \(\displaystyle\frac{1}{4}\) mean?
It means one-fourth, and it also means this:
There were 4 parts, and one of them was taken.
Hope you find it helpful.
Feel free to ask if you have any doubts, since I know a lot about fractions.
\(\bold{-MistySparkles^**^*}\)
For the following function, find the given values in parts (a) through (c) below.
Answer:
Step-by-step explanation:
f(x) = x^2 + 4x is specified as a function. When the x is replaced in "f(x)" is replaced with a number, you treat it as a variable.
In this case, f(-3) is almost exactly like saying x = -3.
Everywhere x is in the function is replaced with -3, because you are plugging it in to find a value. Here is a demonstration:
f(-3) = (-3)^2 + 4(-3)
f(-3) = 9 - 12
f(-3) = -3
The answer to your question is -3. Don't be afraid to ask anymore questions regarding this if you are confused.
Can someone please help me on this question.
Help me out True or false questions
Answer:
A. false
b. true
c. false
Step-by-step explanation:
|x+3|, if x>5
I really need help were supposed to be using the absolute value!! If you can add an explanation that would be great!!
Answer:
Step-by-step explanation:
Suppose x+3 < 0. Subtract 3 from both sides of the inequality.
x < -3
So, x+3 is negative when x < -3. When x>5,
x+3 > 8, which is positive, so the absolute value function has no effect.
|x+3| > 8
two debt payments, the first for $800 due today and the second for $600 due in nine months with interest at 10.5% compound monthly, are to be settled by a payment of $800 six months from now and a final payment in 24 months. Determine the size of the final payment if money is now worth 9.5% compounded quarterly.
Given:
First payment = $800 due today
Second payment = $600 in 9 months
Interest rate = 10.5% compounded monthly
The interest is to be settled in a payment of $800 in 6 months and a final payment in 24 months.
Let's determine the final payment if the money is now worth 9.5% compounded quarterly.
Apply the compound interest formula:
\(A=P(1+\frac{r}{n})^{nt}\)Let x represent the initial amount of debt.
Thus, we have the equation:
\(\begin{gathered} (x-800)(1+\frac{0.105}{12})^{12\ast\frac{9}{12}}=600 \\ \\ (x-800)(1.00875)^9=600 \\ \\ (x-800)(1.08156)=600 \\ \\ x-800=\frac{600}{1.08156} \\ \\ x=1340.44 \end{gathered}\)For the amount due in six months, we have:
\(\begin{gathered} A=1340.44(1+\frac{0.095}{4})^{4\ast\frac{6}{12}}_{} \\ \\ A=1340.44(1.02375)^2 \\ \\ A=1404.87 \end{gathered}\)Hence, the amount which is due after 6 months will be:
$1404.87 - $800 = $604.87
Now, let's find the payment due in 24 months.
Number of months remaining = 24 - 6 = 18 months.
Hence, we have:
\(\begin{gathered} A=604.87(1+\frac{0.095}{4})^{4\ast\frac{18}{12}} \\ \\ A=604.87(1.02375)^6 \\ \\ A=696.35 \end{gathered}\)Therefore, the final payment if the money is now worth 9.5% compounded quarterly is $696.35
ANSWER:
$696.35
explain how utility could be used in a decision where performance is not measured by monetary value
The utility can be used to quantify and compare preferences in decision-making scenarios where performance is not measured by monetary value.
The utility can be used as a measure of preference or satisfaction in decision-making situations where performance is not directly measured by monetary value. Utility refers to the subjective value or desirability that an individual assigns to different outcomes or options.
In such cases, utility can be quantified using a utility function, which maps the outcomes or attributes of the decision problem to a numerical representation of the individual's preferences. This function allows for the comparison and evaluation of different options based on their utility values.
For example, consider a decision involving healthcare treatments. The performance of different treatments may not be easily measured in monetary terms, but individuals may have preferences based on factors such as effectiveness, side effects, or quality of life impact.
Utility can be used to capture these preferences and make a decision that maximizes the overall satisfaction or well-being of the individual.
To use utility in decision-making, it is necessary to understand and quantify individual preferences through techniques like surveys, interviews, or experimental methods. By assigning utility values to different outcomes or attributes, decision-makers can then compare options and select the one that maximizes utility.
However, it's important to note that utility is subjective and varies among individuals. Different people may have different utility functions and weigh attributes differently. Therefore, utility-based decision-making requires taking into account the preferences of the specific individual or group involved.
In summary, utility can be employed in decision-making scenarios where performance is not directly measured in monetary terms. It quantifies subjective preferences and allows for the comparison and selection of options based on the utility values assigned to different outcomes or attributes.
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y varies directly as the square of r, and y=7 when r =6, find y when r=18
\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{"y" varies directly with }r^2}{y = k(r^2)}\hspace{5em}\textit{we also know that} \begin{cases} r=6\\ y=7 \end{cases} \\\\\\ 7=k(6)^2\implies \cfrac{7}{36}=k\hspace{9em}\boxed{y=\cfrac{7}{36}r^2} \\\\\\ \textit{when r = 18 what's "y"?}\qquad y=\cfrac{7}{36}(18^2)\implies y=63\)
(3x + 5y = 7
{ 4x - y = 5
Answer:
Step-by-step explanation:
Solution by substitution method
3x+5y=7
and 4x-y=5
Suppose,
3x+5y=7→(1)
and 4x-y=5→(2)
Taking equation (2), we have
4x-y=5
⇒y=4x-5→(3)
Putting y=4x-5 in equation (1), we get
3x+5y=7
⇒3x+5(4x-5)=7
⇒3x+20x-25=7
⇒23x-25=7
⇒23x=7+25
⇒23x=32
⇒x=32/23
→(4)
Now, Putting x=32/23
in equation (3), we get
y=4x-5
⇒y=4(32/23)-5
⇒y=(128-115)/23
⇒y=13/23
∴y=13/23 and x=32/23
Graph: 3x + 5y = 15
Plz help
Answer: y=-3/5x+3
Graph the points (0,3) and (5,0) and draw a line going through them
Answer:
Picture below
Step-by-step explanation:
If you need any more help with this kind of problem just ask or you can use Desmos.
Hope this helps!
You randomly select one card from a 52-card deck. Find the probability of selecting a three or a ten.
In a standard 52-card deck there are four cards of each value. This means that in one deck we have a total of 4 threes and 4 tens. The probability of selecting a card with a number N from the deck is given by the quotient between the number of N's in the deck and the total amount of cards in the deck.
This means that the probability of selecting a three is given by the number of threes divided by the number of cards:
\(P(3)=\frac{4}{52}=\frac{1}{13}\)Then the probability of selecting a ten is:
\(P(10)=\frac{4}{52}=\frac{1}{13}\)The probability of selecting either a 3 or a 10 is given by the sum of the probabilities:
\(P(3\text{ or }10)=\frac{1}{13}+\frac{1}{13}=\frac{2}{13}\)AnswerThen the answer is 2/13.
Round 1,627,187 to nearest ten
Answer:1,627,190
Step-by-step explanation:
Answer:
1,627,190
Step-by-step explanation:
:D
When Spencer recharged the electric car it took 17.69 kWh of energy over 54 minutes and cost £8.67. How much did it cost per kWh of energy?
The cost per kWh of energy will be £15.921.
The formula to calculate cost per kWh of energy will be-
Power cost = Power rating ( watts) x Time (hours) / 1000
Power rating = 17.69 kWh = 17.69 x 1000 = 17690 watts
Time= 54 minutes = 54 / 60 = 0.9 hours
Now, we will put all values in to formula-
Power cost = 17690 x 0.9 / 1000
= £ 15.921.
Hence, answer will be £ 15.921.
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