The math fact that 4 x 6 = 24 helps Matt remember that 6 x 4 = 24, and Sadie arrived at the answer 10 for 6 + 4 by incorrectly adding the numbers in reverse order.
Matt knows that 6 x 4 = 24. This helps him remember that 4 x 6 and 6 x 4 are both equal to 24.
The math fact that Matt can remember based on 4 x 6 = 24 is that multiplication is commutative. This means that the order of the numbers being multiplied doesn't affect the result. So, if 4 multiplied by 6 equals 24, it also implies that 6 multiplied by 4 would give the same result of 24.
Sadie arrived at the answer 10 for 6 + 4 by mistakenly swapping the order of the numbers and performing the addition incorrectly. The correct sum for 6 + 4 is indeed 10. Sadie's error demonstrates the importance of following the correct order of operations, where addition should be performed after ensuring the numbers are in the correct order.
As for Sadie's answer of 6 + 4 = 10, it is not directly related to the multiplication fact that Matt knows.
It is possible that Sadie used a different math fact or strategy to arrive at that answer.
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Abcd is a parallelogram with ab 7 cm and bc 8 cm in which ab is parallel to dc and ad is parallel to bc. calculate the perpendicular distance from a to bc
The perpendicular distance in parallelogram from a to bc is 6cm
What is parallelogram ?Having two sets of parallel sides, a parallelogram is a straightforward (non-self-intersecting) quadrilateral. A parallelogram has opposite sides that are facing one another and opposite angles that areaof equal size. It is impossible to demonstrate either condition without referencing the Euclidean parallel postulate or one of its equivalent formulations because the congruence of opposed sides and opposite angles is a direct result of that assumption.
Given that : ABCD is parallelogram, AL⊥CD and AM⊥BC. If AB=7cm, AD=8 cm and AL=6 cm
ABCD is a parallelogram.
AL⊥CD and AM⊥BC
AB=7 cm, BC= 8cm and AL= 6cm
We are aware that a parallelogram's opposite sides are equal.
AB=CD and AD=BC
CD=7 cm and BC= 8cm
Area of a parallelogram ABCD=AL×CD
=6×7
42\(cm^{2}\) ------ ( 1 )
Area of a parallelogram ABCD=AM×BC
AM×8 ----- ( 2 )
When we compare (1) to (2), we obtain,
AM×8=42
AM=6cm
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Suppose the rate of change of rainfall, measured in inches per hour, is represented by the following function, where t is the number of hours and 0 ≤ t ≤ 8.
a. −2 in/hr
b. −2 in/hr^2
c. 9 in/hr
d. 9 in/hr^2
The rainfall rate at time t=3 is 12 inches per hour. The correct option is (c) 9 in/hr.
The rate of change of rainfall, measured in inches per hour, is represented by the following function, where t is the number of hours and 0 ≤ t ≤ 8.
The given function for the rate of change of rainfall isf(t) = −t² + 18t,
where t is the number of hours and 0 ≤ t ≤ 8.
Now, we have to determine the rate of rainfall at time t=3 and its corresponding units.
We need to find out the first derivative of the given function to get the rainfall rate at any given point of time,t, during the period of 0 to 8 hours.
f(t) = −t² + 18t
Taking the first derivative of the above function, we get,
f'(t) = -2t + 18
Here, the rainfall rate at time t = 3 is given by
f'(3) = -2(3) + 18 = 12
Therefore, the rainfall rate at time t=3 is 12 inches per hour. Hence, the correct option is (c) 9 in/hr.
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consider two observables a and b in a three dimensional hilbert space in the standard basis denoted by |1⟩, |2⟩, and |3⟩. the observables are represented by matrices:
The commutator is zero, we can conclude that the observables A and B are compatible.
To determine whether the observables A and B are compatible, we need to check if their corresponding operators commute. Two operators A and B commute if their commutator, [A, B], is equal to zero.
Given the matrices representing the observables A and B:
A = |2, 0, 0|
|0, 0, 0|
|0, 0, 0|
B = |b1, 0, 0|
|0, b2, 0|
|0, 0, b3|
To check for commutativity, we need to calculate the commutator [A, B]:
[A, B] = AB - BA
Multiplying the matrices A and B:
AB = |2b1, 0, 0|
|0, 0, 0|
|0, 0, 0|
BA = |2b1, 0, 0|
|0, 0, 0|
|0, 0, 0|
Now, subtracting BA from AB:
[A, B] = AB - BA
= |2b1, 0, 0| - |2b1, 0, 0|
|0, 0, 0| |0, 0, 0|
|0, 0, 0| |0, 0, 0|
Simplifying the subtraction:
[A, B] = |0, 0, 0|
|0, 0, 0|
|0, 0, 0|
As we can see, the commutator [A, B] is a zero matrix. Therefore, [A, B] = 0.
Since the commutator is zero, we can conclude that the observables A and B are compatible.
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Consider two observables A and B in a three-dimensional Hilbert space. In the basis: 11) = 0 12) = 1 13) = 0 01 0 0 A → 9) 0 0 0 the observables A and B are represented, respectively, by the matrices (2 by 0 0 0 0 Bb 2 0 0 0 where the parameters 01, 43, bı, by are real numbers, and Q1 # 03. a) (5 points] Show that the observables A and B are compatible.
the waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.
The probability that a randomly selected passenger has a waiting time greater than 4.25 minutes is 0.5278
The uniform distributed between a and b minutes.
The probability of finding a value above x is:
P(X > x) = \(\frac{b-x}{b-a}\)
The time is evenly distributed between 0 and 9 minutes.
This implies that a=0 , b=9
Determine the likelihood that a randomly selected passenger will have to wait longer than 4.25 minutes.
p(X > 4.25) = \(\frac{9-4.25}{9-0}\)
= 0.5278
There is a 52.78% chance that a randomly selected passenger will have to wait longer than 4.25 minutes.
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Math Question:
-1 1/4+0.75 + 0.45
Answer:
-0.05
Step-by-step explanation: You have the equation -1 1/4+0.75+0.45. First to make it easier let us simplify all the terms. That'll be -1.25+0.1.20. Add it and the sum will be -0.05.
Step 1, when solving a two dimensional, multi-charge problem, is to define the vectors. please identify the next five steps, in order. step 2: step 3: step 4: step 5: step 6:
Step 1, when solving a two dimensional, multi-charge problem, is to define the vectors.
Step 2: calculate A and B magnitudes
Step 3: calculate x, y components
Step 4: sum vector components
Step 5: calculate magnitude of R
Step 6: calculate direction of R
What is a vectorA vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity.
Examples of vectors in nature are velocity, momentum, force, electromagnetic fields and weight. A quantity or phenomenon that exhibits magnitude only, with no specific direction, is called a scalar. Examples of scalars include speed, mass, electrical resistance and hard drive storage capacity.
What are vector attributesVectors are typically represented by an arrow with a beginning, or tail, and an end, or head, that is usually represented by an arrowhead. Vectors delineate the movement from point A to point B and can be defined as an entity with a designation, such as vector a.
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TENSIONS BETWEEN ENGLAND AND THE AMERICAN COLONIES WOULD RISE DUE TO THE HUGE COST OF WHICH WAR?
A. French and Indian War B. the War of the Roses C. the Mexican War
Answer:
I'm pretty sure the answer is A
Step-by-step explanation:
Hope this helps:).......if not then sorry for wasting your time and may God bless you<3
What is an angle with 3 acute angles?
Three straight sides and three angles make up the shape of a triangle. The angles of a triangle can either be acute, right, or obtuse. An angle with three acute angles is a triangle where all three angles measure less than 90 degrees.
A triangle is a three-sided shape with three angles. The sum of the internal angles of a triangle is always 180 degrees. An angle is the amount of turn or change in direction between two lines. There are three types of angles, acute, right and obtuse. An acute angle is an angle which measures less than 90 degrees. A right angle is an angle which measures exactly 90 degrees, and an obtuse angle is an angle which measures more than 90 degrees. Therefore, an angle with three acute angles is a triangle where all three angles measure less than 90 degrees. A triangle with three acute angles is also known as an acute triangle. All three angles must add up to 180 degrees, so the measure of each angle must be less than 60 degrees.
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help please...what is the locus of the midpoints of all chords that can be drawn from a given point on a circle with a radius of 6. be exact with your answer.
Answer:
the answer is a
Step-by-step explanation:
sory lawl
i mean e
answer e!
good luck w summer geometoery
HELP PLS
all the info you need is in the picture
need to solve for x
Answer:
x=8
Step-by-step explanation:
x^2 - 48 = 2x
x^2 - 2x - 48=0
(x+6)(x-8)=0
x+6=0 x-8=0
x= - 6 x=8
can not be negative so the answer is x=8
Answer:
hi long time no talk we need to talk on padle* i left msgs
Step-by-step explanation:
find the measure of angle x. Round your answer 12,7
Therefore, the measure of angle x is approximately 59.04 degrees.
What is triangle?In geometry, a triangle is a three-sided polygon that is formed by connecting three non-collinear points with straight line segments. Each of the line segments is called a side of the triangle, and the point where two sides meet is called a vertex of the triangle. Triangles are one of the most basic and fundamental shapes in geometry, and they have many important properties and applications. The sum of the internal angles of a triangle is always 180 degrees, and there are several different types of triangles, including equilateral triangles (where all three sides are of equal length and all three internal angles are equal to 60 degrees), isosceles triangles (where two sides are of equal length and two internal angles are equal), and scalene triangles (where no sides or angles are equal). Triangles are used in a wide range of fields, from architecture and engineering to physics and computer graphics.
Here,
To find the measure of angle x, we can use the trigonometric function sine, which relates the opposite side (perpendicular) to the hypotenuse of a right triangle. Specifically, we can use the formula:
sin(x) = opposite/hypotenuse
Substituting the given values, we get:
sin(x) = 12/13
To find the value of x, we can take the inverse sine (or arcsine) of both sides of the equation, using a calculator:
x = sin⁻¹(12/13) ≈ 59.04 degrees
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Complete question:
Please help with this!!! Find the measure of angle x. Round your answer to the nearest hundredth.
2000:$5.00 2015:6.50 what is the change in the cost of the cheeseburger as a percent pls answer ASAP!! plsssssss
This question, please!!!
Box of candy contains 0.6 of a pound of caramels 3.6 pounds of coconut What percent the contents of the box, by weight consist of caramels?
Answer:
14.28%
Step-by-step explanation:
I'm not sure if it's right but this is how I worked it out,
the box's contents are 4.2 pounds in total,
therefore in a fraction it would be 6/42
you turn a fraction into a percentage you do the numerator divided by the denominator
6÷42=0.142857(decimal form)
now you just turn it into a percentage
14.28%
please correct me if I'm wrong
Plz help. Will give brainliest
Answer:
8 maybe
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
i believe the answer is 50% i think i did this before and got it right? or maybe i'm mistaken. If right can i get brainliest? That would really help thx :)
Find the slope of the line.
у
4
2
x
-4
-2
O
2
4
-2
-4
O 3/1
0 -3/1
O 6/2
O 1/3
2
Answer: 3/1
Step-by-step explanation:
A
The solution of m2 − 14m + 49 = 0 is
Answer:
49/12 or 4 1/12 or 4.083 (all the same answer in different forms)
Step-by-step explanation:
2m-14m+49=0
-12m+49=0
-12m+-49
m=49/12
Answer: m=7
Step-by-step-explanation:
m^2-14m+49=0
(m-7)^2=0
m-7=0
m=7
freddy
a drew plan for a rectangular piece of material that will use for a blanket. Three of the vertices are (,), (,), and (,). What are the coordinates of the fourth vertex?
The fourth vertex's coordinates are as follows: ( 2.1, -3.6)
What are coordinates?A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.
So, let the missing coordinates be (a,b).
Let's now utilize the midpoint formula to locate the erroneous coordinate.
Let the reference point be (-2.3, 3.6) A.
Let point B be (2.3, 2.2).
(2.1, 2.2) Let C be the point.
The center of AC should be at BD.
Step 1: Locating the AC's midpoint
Middle pint of AC:
(-2.3 + 2.1/2), (-3.6 + 2.2/2)
(0.2/2), (1.4/2)
(-0.1, -0.7)
Let's equate the midpoints in step two.
The BD mid-point:
(a + -2.3/2), (b + 2.2/2) = (-0.1, -0.7)
(a + -2.3/2) = -0.1
(a -2.3/2) = -0.1*2
a = -0.2+2.3
a = 2.1
(b + 2.2/2) = -0.7
b + 2.2 = -0.7*2
b + 2.2 = -1.4
b = -1.4 -2.2
b = -3.6
Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)
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Complete question:
Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ( -2.3 and −3.6), (−2.3, and 2.2), and (2.1, and 2.2). What are the coordinates of the fourth vertex?
Amy invested $1500 in an account with an interest rate of 6.5%
What will the account balance be in 20 years if the interest is compounded monthly?
Step-by-step explanation:
p=1500
R=10%
t=20yrs
SI=PTR/100
=1500*10*20/100
=3000
amount(A)=P+I
=1500+3000
=4500
Can you please help me out with a question
Sam is training for a race. She runs 9-1/2 miles on Sunday. If she runs the same distance on each of the 6 remaining days, how many miles will she need to run each day in order to meet her goal of running 42-1/2 miles for the week?
The number of miles she will run each day to meet her daily goal of 42-1/2 miles dor work is 5.5 miles per day, under the given condition that She runs 9-1/2 miles on Sunday furthermore she runs the same distance on each of the 6 remaining day.
In order to find out how many miles she needs to run each day, we have to perform division of the total number of miles she needs to run by the number of days she has left
33 miles ÷ 6 days = 5.5 miles per day
Hence, Sam needs to run 5.5 miles per day for the remaining six days in order to meet her goal of running 42-1/2 miles for the week.
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are the ratios proportional?
Answer:
no, the ratios are not proportional
Step-by-step explanation:
124/98 is not equivalent to 315/225
the specification for the clearance is 0.015 to 0.063 mm. what is the probability that the specification is met?
To determine the probability that the specification for the clearance is met, we need to assume that the clearance follows a normal distribution. We can then use the standard normal distribution to calculate the probability that a clearance falls within the given specification range.
Assuming a normal distribution, we can use the formula for the standard normal distribution to calculate the probability that a clearance falls within the range of 0.015 to 0.063 mm:
z = (x - μ) / σ
where z is the z-score, x is the value we want to find the probability for, μ is the mean of the distribution (which we assume to be the midpoint of the specification range, i.e., (0.015 + 0.063) / 2 = 0.039 mm), and σ is the standard deviation of the distribution (which we assume to be (0.063 - 0.015) / 6 = 0.008 mm).
Using these values, we can calculate the z-scores for the lower and upper limits of the specification range:
z1 = (0.015 - 0.039) / 0.008 = -3
z2 = (0.063 - 0.039) / 0.008 = +3
We can then look up the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or a statistical software program. This area represents the probability that a clearance falls within the specification range. The area is approximately 0.9973, or 99.73%.
Therefore, we can say that there is a 99.73% probability that the specification for the clearance is met.
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A square has a perimeter of 40 feet. Find the length of the diagonal of the square.
Answer:
10 root 2
Step-by-step explanation:
Refer to attachment.
Hope it helps.
write a problem that could be represented by the equation 5n - 6 = 19
At what point does the curve have maximum curvature? y = 9 ln(x) (x, y) = What happens to the curvature as x rightarrow infinity? k(x) approaches_______________as x rightarrow infinity.
The point of maximum curvature of the curve y = 9 ln(x) occurs when the second derivative of the curve is equal to zero, which is when x = e. At this point, the curvature of the curve is equal to k(x) = 9/e^2.
What is infinity?Infinity is a concept used to describe something that is limitless or without end. It is typically used to describe a quantity, such as an infinite number of objects or an infinite amount of time. It is also used to describe the concept of something that is boundless or has no boundaries. Infinity is an abstract concept and is not considered a number or a measurement.
As x rightarrow infinity, the value of k(x) approaches zero, because the second derivative of the curve approaches zero. Therefore, k(x) approaches zero as x rightarrow infinity.
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The circumference of the wheel of a bus is 2.8 m. How many number of revolution does it make to cover 5.6 km?
Answer:
2000
Step-by-step explanation:
5.6KM=5600M
Number of revolution= 5600/2.8 = 2000
an 8 foot ladder is leaning against a wall. the top of the ladder is sliding down the wall at the rate of 2 ft per second. how fast is the bottom of the ladder moving along the ground at the point in time when the botto of the ladder is 4 feet from the wall
The bottom of the ladder is moving at a rate of 4/3 ft per second.
To solve the problem, we can use the Pythagorean Theorem:\($x^2 + y^2 = 64$\), where x is the distance from the wall to the bottom of the ladder and y is the length of the ladder. We differentiate this equation with respect to time t and use the chain rule to get \($\frac{d}{dt} (x^2 + y^2) = \frac{d}{dt} 64$\)
Simplifying, we get
\($2x \frac{dx}{dt} + 2y \frac{dy}{dt} = 0$\)
When the bottom of the ladder is 4 feet from the wall, we have x = 4 and y = 8, so we can substitute these values into our equation and solve for \($\frac{dx}{dt}$\):
\($2(4)\frac{dx}{dt} + 2(8)(-2) = 0$\)
\($\frac{dx}{dt} = \frac{16}{8} = \frac{4}{3}$\)
Therefore, the bottom of the ladder is moving at a rate of \($\frac{4}{3}$\) ft/s.
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What percent of $900 equals 810?? Show what you did!!
Answer:
x% of $900=$810
x/100×$900=$810
x=$810/9=90% required percentage is 90%.
Answer:
x% of 900=810
Step-by-step explanation:
x=90%
Tan A=2. 0503 find each angle measure to the nearest degree
Answer: 26 degrees
Step-by-step explanation:
Simplify!! Extra points for explanation!!
Just choose number 1 2 3 or 4 please!!
Answer:
\(3 \: is \: correct \\ {(x + 2)}^{3} = {x}^{3} + 3 \times 2 \times {x}^{2} + 3 \times x \times {2}^{2} + {2}^{3} \)