Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?
Let's calculate the products and check if they indeed have the same value:
Product of 32 and 46:
32 * 46 = 1,472
Reverse the digits of 23 and 64:
23 * 64 = 1,472
As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.
To find two other pairs of two-digit numbers that have this property, we can explore a few examples:
Product of 13 and 62:
13 * 62 = 806
Reversed digits: 31 * 26 = 806
Product of 17 and 83:
17 * 83 = 1,411
Reversed digits: 71 * 38 = 1,411
As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.
For example, let's consider the pair 25 and 79:
A = 2, B = 5, C = 7, D = 9
The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.
Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.
I will give brainliest, if correct
Answer: its 188
Step-by-step explanation:
Answer:
188 seconds
Step-by-step explanation:
I need help in this ixl
Answer:
\(t^{9}s^{8}\)
Step-by-step explanation:
\(s^{0} = 1; u^{-1} = \frac{1}{u} \\1(t)(\frac{1}{u})(s^{8})(t^{8})(u)\\\frac{(t^{1+8})(s^{8})(u)}{u}\\t^{9}s^{8}\)
prove sin^2 π/6 + cos^2 π/3 - tan^2 π/4 = -1/2
=(
2
1
)
2
+(
2
1
)
2
−1
2
=
2
−1
Therefore, L.H.S = R.H.S
How do I factor this? Please explain the steps
Answer: 2(x^2+1)^3 (-8x^4-16x^2+x-8)
Step-by-step explanation:
PLEASE HELP ME! URGENT!!
Answer:
D. y=0.3(x+0.8)^2 -10
Step-by-step explanation:
When looking at the y-intercepts (the number at the very end of the equation) of the equations -10 is the one farthest away from the y-axis
Work out the value of the question mark in the function machine below. Input Output -2>x?>x-3→-18
The value of the question mark in the function is machine is 3
Calculating the value of a question mark in function machineFrom the question, we are to calculate the value of the unknown number is the given image.
In the given image, we have a function machine and the unknown number is denoted by a question mark.
The given function is
-2 × ? × -3 = -18
Let the unknown number be x
Then, we can write that
-2 × x × -3 = -18
Multiply the numbers on the left hand side of the equation, we get
-6 × x = -18
Divide both sides by -6
(-6 × x) / -6 = -18 / -6
x = 3
Hence, the value is 3
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How many obtuse angles did you measure?
Answer:
2
Step-by-step explanation:
There are 2 obtuse angles here . They are
• KGF = 144°
• KGL = 169°
You have a classroom of 15 kids. You are building clay pyramids
as a class. Each student
needs their pyramid to be the same volume. The length and width of
the base are both
3 inches. The height is 5
Each student's clay pyramid should have a height of 5 inches in order to have the same volume.
To ensure that each student's clay pyramid has the same volume, we can calculate the required height for each pyramid.
Given that the length and width of the base are both 3 inches and the desired volume is the same for all pyramids, we can use the formula for the volume of a pyramid:
[V = rac {1}{3} times text{Base Area} times text{Height}]
Let's calculate the volume of the pyramid with the given dimensions:
V = frac{1}{3} times (3 times 3) times 5 = 15 text {cubic inches}
Since we want each student's pyramid to have the same volume, each student's pyramid should also have a volume of 15 cubic inches.
Now, let's calculate the required height for each student's pyramid. We can rearrange the volume formula to solve for the height:
[15 =frac{1}{3} times (3 times 3) times text{Height}
Simplifying the equation:
[15 = 3 times text{Height}]
Dividing both sides by 3:
[5 = text{Height}]
Therefore, each student's clay pyramid should have a height of 5 inches in order to have the same volume.
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Point M is the midpoint of AB. The coordinates of point A are (-8, 1) and the coordinates of M are (-2,3).
What are the coordinates of point B?
The coordinates of point B are ?
Answer:
(4,5)
Step-by-step explanation:
take b as x2,y2
then apply mid point formula
x=(x1+y1)/2
y=(y1+y2)/2
while cleaning data, a data analyst can use a changelog to keep a chronological list of changes they make. they can refer to it during the___period if there are errors or questions.
While cleaning data, a data analyst can use a changelog to keep a chronological list of changes they make. They can refer to it during the cleaning period if there are errors or questions that arise.
This can be a valuable tool in ensuring that the data is accurate and reliable, as it allows the analyst to track any changes that have been made and easily identify any issues that may need to be addressed. By keeping a detailed log of their actions, the analyst can also demonstrate the steps they took to clean the data, which can be useful for auditing purposes or for sharing their work with others on the team.
Ultimately, the use of a changelog can help to streamline the data cleaning process and make it more efficient, while also improving the overall quality of the data.
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a paperback book company charges $6 for each paperback book plus $4 for shipping and handling per order. what would the total cost for 3 books.
ANSWER FAST
Answer:
$30
Step-by-step explanation:
6x3=18
+
4x3=12
=30
The cost of 2.5 pounds of cheese is $5.60.
PLEASE DO THESE STEPS
A. What is the cost of one pound of cheese? Type your answer in the box.
B. Mrs. Peterson bought 4.75 pounds of cheese. How much money did Mrs. Peterson spend on cheese?
D. How could you find the cost for 5 pounds of cheese without finding the cost per pound? Type your answer in the box.
Answer:
$2.24 per pound.
Step-by-step explanation:
Sorry about the other steps I have to go :(
An insurance data scientist is researching a certain stretch of a rural highway where drivers are never pulled over. The mile marker in the solution of the following inequality determines the conclusion of his research. Solve and interpret the compounding inequality, where X represents the mile marker along the highway. 2X -18 is greater than or equal to 122 or 5X +15 is less than 250
The solution to the compound inequality 2X - 18 ≥ 122 or 5X + 15 ≤ 250 is X ≤ 47 or X ≥ 70. The mile marker X that will determine the conclusion of the research is any value of X greater than or equal to 70 or any value of X less than 47.
The insurance data scientist is trying to determine a conclusion about a certain stretch of a rural highway. To do this, they are investigating two conditions that could impact the safety of drivers on that highway.
These conditions are represented by two inequalities:
2X - 18 ≥ 122
5X + 15 ≤ 250
To determine the conclusion of their research, the data scientist needs to find the values of X that satisfy at least one of these inequalities.
Let's start by solving the first inequality:
2X - 18 ≥ 122
2X ≥ 140
X ≥ 70
This means that if the mile marker is greater than or equal to 70, then the condition represented by the first inequality is satisfied. Specifically, if the mile marker is at or beyond mile marker 70, then the insurance data scientist concludes that the condition represented by the first inequality is a concern for drivers on the highway.
Next, let's solve the second inequality:
5X + 15 ≤ 250
5X ≤ 235
X ≤ 47
This means that if the mile marker is less than or equal to 47, then the condition represented by the second inequality is satisfied. Specifically, if the mile marker is at or before mile marker 47, then the insurance data scientist concludes that the condition represented by the second inequality is a concern for drivers on the highway.
To summarize, the insurance data scientist needs to investigate the mile markers between 47 and 70 to determine if either condition is a concern for drivers on the highway. If the mile marker is at or before mile marker 47 or at or beyond mile marker 70, then the data scientist concludes that at least one of the conditions is a concern for drivers on the highway.
In conclusion, the solution to the compound inequality 2X - 18 ≥ 122 or 5X + 15 ≤ 250 is X ≤ 47 or X ≥ 70. The insurance data scientist needs to investigate the mile markers between 47 and 70 to determine if the conditions represented by either inequality are a concern for drivers on the highway.
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Given a normal population which has a mean of 110 and a standard deviation of 5, find the probability that a random sample of 49 has a mean between 109 and 112. Report your answer to four decimal places.
Answer:
0.9168
Step-by-step explanation:
From the data given:
Mean = 110
standard deviation = 5
Let consider a random sample n =49 which have a mean between 109 and 112.
The test statistics can be computed as:
\(Z_1 = \dfrac{x- \bar x}{\dfrac{\sigma}{\sqrt{n}}}\)
\(Z_1 = \dfrac{109- 110}{\dfrac{5}{\sqrt{49}}}\)
\(Z_1= \dfrac{-1}{\dfrac{5}{7}}\)
\(Z_1\) = -1.4
\(Z_2= \dfrac{x- \bar x}{\dfrac{\sigma}{\sqrt{n}}}\)
\(Z_2 = \dfrac{112- 110}{\dfrac{5}{\sqrt{49}}}\)
\(Z_2 = \dfrac{2}{\dfrac{5}{7}}\)
\(Z_2 =2.8\)
Thus; P(109 < \(\overline x\) < 112) = P( - 1.4 < Z < 2.8)
= P(Z < 2.8) - P( Z < -1.4)
= 0.9974 - 0.0806
= 0.9168
(Brainly why do you hire spam bots to spam links! Also no links or else)
This needs solving ASAP?!
Answer:
What needs solving?
Step-by-step explanation:
I may be able to help.
If you're talking about hiring bots, I can tell you that Brainly doesn't hire them. They're just dum people who have the goal of annoying people.
Answer:
I tried posting something to warn people about the links may have mature/adult content etc and they took it down in 1 second
An automotive plant makes the Quartz and the Pacer. The plant has a maximum production capacity of 1200 cars per week, and they can make at most 600 Quartz cars and 800 Pacers each week. If the profit on a Quartz is $500 and the profit on a Pacer is $800, find how many of each type of car the plant should produce.
Answer:
x=400 and y=800
Step-by-step explanation:
let x be the Quartez and y is Pacer
x+y≤1200 ( maximum production capacity of 1200 cars per week)
0≤x≤600
0≤y≤800
profit : 500x+800y
at a point : x=0 y=800
profit=500x+800y ⇒ 500(0)+800(800)=640000
profit= 500(600)+0=300000 wen x=600(max), y=0
Profit=500(600)+800(600)= 780000
profit =500(400)+800(800)=840000 this is the max profit when
x=400 and y=800
2x + y = -2
x + y = 5
Answer:
x= -7, y= 12
Step-by-step explanation:
To find the value of x and y, first label the 2 equations.
2x +y= -2 -----(1)
x +y= 5 -----(2)
(1) -(2):
2x +y -(x +y)= -2 -5
2x +y -x -y= -7 (expand bracket)
x= -7
subst. x= -7 into (2):
-7 +y= 5
y= 5 +7 (+7 on both sides)
y= 12
What are the domain and range of this exponential function?y=2x–9
The value of both domain and range of this exponential function is (−∞,∞).
y = 2x-9
The domain of the function can be defined as all real numbers except the ones where the expression is undefined. In the case of 2x-9, there is no real number for which this expression is undefined. Therefore, a domain of this exponential function is (−∞,∞).
The range of the function is defined as the set of all valid y values. In this case, all real numbers are valid values of y. Therefore, the range of this exponential function is (−∞,∞).
Therefore, domain of y = 2x-9 is (−∞,∞) and range is also (−∞,∞).
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x:(x+3) = 2:3
work out the value of x
Answer:
x = 6
Step-by-step explanation:
x:(x + 3) = 2:3
\( \frac{ \\ x}{x + 3} = \frac{2}{3} \)
cross multiply
3x = 2(x + 3)
3x = 2x + 6
subtract (2x) from both sides
3x – 2x = 2x – 2x + 6
x = +6
x = 6
100 POINTS PLS HELP ASAP
Mullet fish are known to jump out of the water when being pursued by predators. The height in inches of one mullet fish can be described by the function f (x) = 2sin2x − 1, where x represents the time in seconds. Another mullet fish's height from the water level can be represented by the equation g(x) = cos x. At which values on the interval [0, 2π) will the two fish be at the same height above the water? (2 points)
a. open bracket pi over 3 comma 5 times pi over 3 close bracket
b. open bracket pi over 3 comma pi comma 5 times pi over 3 close bracket
c. open bracket pi over 4 comma 3 times pi over 4 comma 5 times pi over 4 comma 7 times pi over 4 close bracket
d. {π}
The values on the interval [0, 2π) where the two fishes will be at the same height above the water is
d. {π}How to find when the fishes have the same height
To find the values on the interval [0, 2π) where the two fish will be at the same height above the water, we need to find the values of x that satisfy the equation f(x) = g(x).
Given:
f(x) = 2sin(2x - 1)
g(x) = cos(x)
We can solve this by plotting the two equations and the point of intersections denotes the points of equal height
Therefore, the values from the graph, on the interval [0, 2π) where the two fish will be at the same height above the water are:
x = 0.581, 1.194, and π.
The correct answer choice is d. {π}.
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MATH
NATION
Which of the following statements are true? Select all that apply.
The correlation coefficient gives us information as to how strong the linear association is between two qualitative variables ?
Answer:
1,3
Step-by-step explanation:
What’s 165 rounded to the nearest 10
Answer:
it would be 170 it its 5 or over round up
Step-by-step explanation:
You start at (-1, 0). You move down 2 units and up 1 unit. Where do you end
Answer:
(-3,1)
Step-by-step explanation:
-1-2=-3
0+1=1so the answer is (-3,1)
1,find the equation of the line with y-intercept (0,8) and slope ⅗. 2,Find the slope and y-intercept of y=10x-⅓. 3,Find the slopes of the lines containing these points. a) (4,-3) and (6,-4) b)
Answer:
1) y = 3/5x + 8
2) Slope: 10
y-intercept: -1/3
3) y = -1/2x - 1
Step-by-step explanation:
1) The equation you need to refer to for this problem is y = mx+b
m = slope (3/5 for this problem)
b = y-intercept(which is 8)
plug those numbers in and you get y = 3/5x + 8
2) look back at this equation: y = mx+b
10 is the slope and -1/3 is the y-intercept
3) This one is a bit more difficult as you need two other formulas to solve:
the slope formula, y1 - y2/x1 - x2, and the point-slope formula,
y - y1 = m(x - x1)
For this problem, you have the coordinates (4, -3) and (6, -4) which you would plug into the slope formula, like this:
-3 -(-4)/4 - 6 = -1/2
the numbers 1 and 2 in this formula refer to the first (x,y) value and the second. You subtract the two y values and the two x values, simplify, and you get your answer.
-1/2 is going to be the m, or slope, that you will use in the second formula, the point slope formula, y - y1 = m(x - x1)
To solve this you choose one of the original coordinates that you were given to plug into the y1 and x1, and plug -1/2, your slope, in for m:
(keep in mind, for this, I used (4,-3) but you can use either one)
y -(-3) = -1/2(x - 4)
To solve this you, first, distribute -1/2 to x and -4 inside the parentheses:
y -(-3) = -1/2x + 2
Then, on the other side, add the to negatives to get a positive 3:
y + 3 = -1/2x + 2
and subtract 3 from both sides:
y = -1/2x - 1
I hope this isn't too confusing
good luck!
PLSSSS HELP AND IF POSSIBLE PLSS HURRY!!!!
Answer:
1) net
2) folded
3) surface
4) faces
5) base
6) prisms
7) pyramids
Step-by-step explanation:
hope this helped!
Select the correct answer.
The graph of a linear function is given below.
What is the zero of the function?
A. -5
B. \(\frac{2}{5}\)
C. 2
D. \(\frac{5}{2}\)
The zero of the function, from the given graph is -5. Therefore, option A is the correct answer.
The graph of a function is given below.
What is the zeros of a function?The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.
From the given graph we can see the graph of function is passing through the x-axis at -5.
The zero of the function, from the given graph is -5. Therefore, option A is the correct answer.
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you have three six-sided dice. when all three dice are rolled at the same time, what is the probability of rolling the same number on all dice?
The required probability that the total number of spots showing is less than 7 is 9.26%
Probability:The probability of an event is found by considering all possibilities that follow the given condition. The probability value cannot exceed the interval [0,1].
Probabilities are multiplied for the 'AND' condition.Probabilities are added for the 'OR' condition.Three six-sided dice are rolled at the same time.
It is asked to calculate the probability that the total number of spots showing is less than 7.
If the die is rolled, possible outcomes are as given below.
S: {1, 2, 3, 4, 5, 6}
Number of elements in sample space, n(S) = 6.
Probability of any specific outcome from S = 1/6
If the three dice are rolled together, the total number of elements in the sample space will be \((6^3)\)
Then, the probability of getting any of any specific outcome from this sample will be given by: \(\frac{1}{6^3} =\frac{1}{216}\)
Find the total possibilities for which the total of outcomes of all three dice is less than 7. It is possible when we get the following outcomes.
The minimum total that we get is 3 with outcomes (1,1,1) on three dice.
For a total of 3:
Possible outcomes: [1, 1, 1]
The number of possibilities \(A_1=1\)
For total 4:
Possible outcomes: [1,1,2], [1,2,1], [2, 1, 1]
Number of possibilities \(A_2=3\)
For a total of 5:
Possible outcomes: [1,1,3], [1,3,1], [3, 1, 1], [1,2,2], [2,2,1], [2, 1, 2]
The number of possibilities \(A_3=6\)
For a total of 6:
Possible outcomes : [1,1,4], [1,4,1], [4, 1, 1],[1, 2, 3] ,[1,3,2],[2, 3, 1], [3,2,1], [3, 1, 2],[2,1,3], [2, ,2 ,2]
The number of possibilities : \(A_4=10\)
The number of possibilities for which the total number of spots showing is less than 7 is given by,
\(A_1+A_2+A_3+A_4\)
=> 1+ 3+ 6+ 10
=> 20
The probability that the total number of spots showing are less than 7 is calculated below.
P = 20/216
P = 0.0926
P = 9.26%
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The given question is incomplete, complete question is:
Explain how to solve this problem:
You have three six-sided dice. When all three dice are rolled at the same time, calculate the probability of the following outcomes:
a. The total number of spots showing is less than 7
Write an equation of a line in slope-intercept form with the given slope and y-intercept.
slope: -2, y-intercept: 7
Answer: y=-2x+7
Step-by-step explanation:
we know that equation is y=mx+b
b=y intercept
x=the x coordinate
m=slope
y=y coordinate
then you can just fill it in from there . hope this helps
Consider the equation: 3(–4n – 9) = 21
Use the distributive property and properties of equality to solve for n.
Answer: N=-4
Step-by-step explanation:
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Pull out like factors :
-4n - 9 = -1 • (4n + 9)
Equation at the end of step
2
:
-3 • (4n + 9) - 21 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
-12n - 48 = -12 • (n + 4)
Equation at the end of step
4
:
-12 • (n + 4) = 0
STEP
5
:
Equations which are never true:
5.1 Solve : -12 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : n+4 = 0
Subtract 4 from both sides of the equation :
n = -4
One solution was found :
n = -4
Answer:
The answer is Negative Four -4
Step-by-step explanation: