Answer:
I would rate my feelings 4 on a scale of 5
Step-by-step explanation:
Before exercising I usually feel low and heavily laden with overwhelming thoughts and the feeling doesn't seem to leave except in engage in some form of activities that will take my time and consciousness of time.
Like exercising does take time and it's very engaging one wouldn't know the passage of time while doing some physical task.
It's always relaxing after engaging in physical exercise,I also see it as physical therapy for mental health.
Write an equivalent equation to AB = AC using A^-1 such that, when it is simplified, the resulting equation will simplify to B = C. What property should be used to continue simplifying the above equation? A. (AB)^-1 = B^-1A^-1 B. (A^-1)^T = (A^T)^-1 C. A-^1A = 1 D. (A^-1)^-1 = A
The property that should be used to continue simplifying the above equation is A-^1A = 1. So, correct option is C.
We can start with the equation AB = AC and multiply both sides by A^-1 on the left:
A^-1(AB) = A^-1(AC)
Using the associative property of matrix multiplication, we can simplify the left-hand side:
(A^-1A)B = (A^-1A)C
Using the fact that A^-1A = I (the identity matrix), we get:
IB = IC
Simplifying further using the fact that I times any matrix is that matrix itself, we obtain:
B = C
Therefore, the equivalent equation to AB = AC using A^-1 that simplifies to B = C is A^-1(AB) = A^-1(AC), and the property used to continue simplifying the equation is A^-1A = I.
The correct option is (C) A^-1A = 1, which is equivalent to A^-1A = I, since the identity matrix is denoted as 1 in some contexts.
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what is steps per mile?
Steps per mile is a measure of how many steps a person takes to walk one mile, Which is 2000 steps.
It takes over 2,000 steps to walk one mile and 10,000 steps would be almost 5 miles, as the average person has a stride length of approximately 2.1 to 2.5 feet.
The number of steps required to walk a mile can vary from person to person depending on their height, weight and stride length. And Generally, taller people with longer strides take fewer steps per mile, while shorter people with shorter strides take more steps per mile.
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A pitcher can hold 5.2 liters of water. How many 0.4 liter glasses of water can be poured from the pitcher?
10
11
13
5
7.
Find the smallest non-zero whole number which
can be multiplied by 112 to give a cube number.
Answer:
28 x 784
Step-by-step explanation:
Now 7 remains without a pair and therefore 7 should be multiplied to 112 to make it a perfect square. Similarly 28 should be multiplied to 784 to make it a perfect cube.
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Evaluate ∫ ∫ (x² + y²)dx dy over the region in the positive quadrant which x+y≤1.
The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.
To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.
Now, integrating the inner integral with respect to x, we get:
∫ (x² + y²)dx = (1/3)x³ + y²x + C1,
where C1 is the constant of integration.
Next, we integrate the resulting expression with respect to y:
∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,
where C2 is another constant of integration.
Finally, we evaluate this double integral over the given region by substituting the limits of integration:
∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.
Performing the integration, we can find the numerical value of the double integral within the given region.
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if the number of hot lunches sold at school this week was 1,350 and the relative frequency on friday was 0.22, how many lunches were sold on friday?
296 hot lunches were sold on Friday.
The number of hot lunches sold on Friday can be calculated by multiplying the total number of hot lunches by the relative frequency on Friday:
Hot lunches sold on Friday = 1,350 * 0.22 = 296
What is Relative frequency ?Relative frequency is a measure of the number of times an event occurs in a sample, expressed as a proportion of the total number of events. To find the number of hot lunches sold on Friday, we multiply the total number of hot lunches sold in the week by the relative frequency of Friday. This gives us the number of hot lunches sold on Friday, which is 296 in this case. Understanding relative frequency is important in statistics as it helps to summarize data and understand the distribution of events.
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Factorise 2x^2 + x - 6
\( \rm \: {2x}^{2} + x - 6\)
\( \rm \: {2x}^{2} + 4x - 3x - 6\)
\( \rm \: {2x} \times (x + 2)- 3x \times (x + 2)\)
\( \rm \: (x + 2) \times (2x - 3)\)
Find the volume of question number 14
Answer:
5494.5
Step-by-step explanation:
\(\frac{1}{3}(37)(33)(13.5)=5494.5\)
To make a sports drink, Tommy puts 2 liters of water in a pitcher along with 4 ounces of sports drink additive. How much liquid is now in the pitcher, in ounces?
1 liters = 33.81 ounces
Answer:
71.62
Step-by-step explanation:
2 liters = 2(33.81) ounces or 67.62 oz
4 more ounces were added
new total is 71.62 oz
A student divided 5 feet of ribbon into 3 equal parts. Which type of number describes the length of each part?
Answer: 1.6 a decimal number
Step-by-step explanation: 5 ÷ 3 = 1.6
Or 1 foot and 6 inches
suppose that the distribution for total amounts spent by students vacationing for a week in florida is normally distributed with a mean of 650 and a standard deviation of 120 . suppose you take a simple random sample (srs) of 10 students from this distribution. what is the probability that a srs of 10 students will spend an average of between 600 and 700 dollars? round to five decimal places.
The probability that the SRS of 10 students will spend an average of between 600 and 700 dollars is 0.8132.
Let x be the total amount spent by students.
x follows normal distribution with mean μ = 650,
standard deviation δ = 120
We take a simple random sample of size n = 10
We are asked to find average spending of 10 students ( \(x\) ) is between 600 and 700
We have to find P( 600 <= \(x\) <= 700)
According to the sampling distribution of the sample mean \(x\), it follows an approximately normal distribution with mean μ{\(x\)} = μ and standard deviation δ{\(x\)} = {δ}/{√n}
Therefore here mean of \(x\),( μ{\(x\)} ) = 650 and
standard deviation of \(x\), δ{\(x\)} = {120}/{√10} = 37.9473
The probability that the SRS of 10 students will spend an average of between 600 and 700 dollars is,
Let Z= x - μ / δ
Z₁ = 600 - 650 / 37.9473 = -1.32 similarly
Z₂ = 700 - 650 / 37.9473 = 1.32
From standard normal distribution table, P( -1.32 < \(x\) < 1.32) = 0.8132
The probability that the SRS of 10 students will spend an average of between 600 and 700 dollars is 0.8132
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Solve for the remaining sides and angles if possible (if not, answer "DNE" in all answer boxes). As in the text, (a, a), (B, b), and (y, c) are angle-side opposite pairs. Round to one decimal places, if necessary a = 11, b = 11 c = 11
Answer: A = 60°, B = 60°, y = 60°, a = 11, b = 11, c = 11.
Using the law of cosines, we can solve for the remaining angles and sides of the triangle. Let's start by finding angle B:
cos(B) = (a^2 + c^2 - b^2) / 2ac
cos(B) = (11^2 + 11^2 - 11^2) / (2 * 11 * 11)
cos(B) = 0.5
B = cos^-1(0.5)
B ≈ 60°
Next, we can find angle y:
cos(y) = (a^2 + b^2 - c^2) / 2ab
cos(y) = (11^2 + 11^2 - 11^2) / (2 * 11 * 11)
cos(y) = 0.5
y = cos^-1(0.5)
y ≈ 60°
Now, we can use the law of sines to find side a:
a / sin(A) = b / sin(B) = c / sin(y)
a / sin(A) = 11 / sin(60°)
sin(A) = a / (11 / sin(60°))
A = sin^-1(sin(A))
A ≈ 60°
Since we now know that all angles of the triangle are 60°, we can conclude that it is an equilateral triangle. Therefore, all sides and angles are equal, and our answers are:
Angle A = 60°
Angle B = 60°
Angle y = 60°
Side a = 11
Side b = 11
Side c = 11
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A coin is tossed and a card is drawn from a standard deck of 52 cards. What is the probability of tossing a heads and drawing a diamond?
A. 7/52
B. 1/8
C. 13/104
D. 3/26
Answer:
a
Step-by-step explanation:
a
what is the percent of change from 25 to 29
well, clearly is 4 :).
now, if we take 25 to be the 100%, what is 4 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 25 & 100\\ 4& x \end{array} \implies \cfrac{25}{4}~~=~~\cfrac{100}{x} \implies 25x=400\implies x=\cfrac{400}{25}\implies x=16\)
Which expression has a solution of 27, if r = 3?
Answer:
rx9
Step-by-step explanation:
9x3=27
Answer:
9r = 27
Step-by-step explanation:
Have a great day <3
1. A large game cube with a three inch side
length is wrapped with shrink wrap. How many
square inches of shrink wrap will be used to
wrap ten game cubes?
A. 450 in2
B. 540 in2
C. 270 in2
D. 720 in

Answer:
a
Step-by-step explanation:
A triangle has vertices at A (−2, −2), B (−1, 1), and C (3, 2). Which of the following transformations produces an image with vertices A′ (−2, 2), B′ (−1, −1), and C′ (3, −2)?
a series an is defined by the equations a1 = 2 an 1 = 3 cos(n) n · an. determine whether an is absolutely convergent, conditionally convergent, or divergent. absolutely convergent conditionally convergent divergent For what values of x is xn/n! convergent? x ge 0 for all x none x le 0 x < 0 What conclusion can be drawn about lim n rightarrow infinty xn/n!? lim n rightarrow infinity xn/n! = 0 only for x < 0 lin n rightarrow infinity xn/n! = 0 for all values of x No conclusion can be drawn. lim n rightarrow infinity xn/n! = 0 only for x > 0 lim n rightarrow infinity xn/n! = infinity for all values of x
The correct answer is "lim n rightarrow infinity xn/n! = 0 for all values of x."
To determine whether the series an is absolutely convergent, conditionally convergent, or divergent, we need to apply the appropriate tests. One possible test to use is the ratio test, which compares the absolute value of consecutive terms. Applying the ratio test to the series an, we get:
|an+1/an| = |(3cos(n+1))/(n+1)| ≤ 3/|n+1|
Since the limit of 3/|n+1| as n approaches infinity is zero, the series an is absolutely convergent by the ratio test.
Moving on to the second part of the question, we want to determine for what values of x the series xn/n! is convergent. This series is also known as the power series for e^x. The series converges for all x, which means the correct answer is "x ge 0 for all x."
Finally, we are asked to draw a conclusion about the limit of xn/n! as n approaches infinity. Using the ratio test, we can show that this limit is zero for all values of x.
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For the first series, we have:
an = 2, 6cos(1), 18cos(2), 54cos(3), ...
We can use the ratio test to determine whether this series is absolutely convergent, conditionally convergent, or divergent:
|an+1/an| = 3|cos(n+1)/cos(n)|
Since the cosine function oscillates between -1 and 1, the ratio |an+1/an| is not bounded as n goes to infinity. Therefore, the series is divergent.
For the second question, we want to find the values of x such that the series
xn/n! = x/1! + x^2/2! + x^3/3! + ...
is convergent. This is the power series expansion of the exponential function e^x, so the series converges for all real values of x. Therefore, the answer is "x ge 0 for all x".
For the third question, we can use the ratio test to find that the limit of xn/n! as n goes to infinity is zero for all values of x. Therefore, the answer is "lim n rightarrow infinity xn/n! = 0 for all values of x".
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1.
(01.06A LC)
Which of the following is a rational number? (5 points)
square root of 15, square root of 16, square root of 17, square root of 18
square root of 15
square root of 16
square root of 17
square root of 18
The correct option is B that is square root of 16 i.e., 4 is a rational number.
What is a rational number ?
If p and q are any two numbers where q is not equal to 0, then the fraction in form p/q is called as rational number.
Let's check which of the given numbers are rational numbers.
A.
The number is √15.
= 3.8729
As , the number has non - terminating decimal , so , √15 is an irrational number.
B.
√16
= 4
As , this number is an integer and we can write it in form of fraction as \(\frac{4}{1}\) , so , √16 is a rational number.
C.
√17
= 4.12310
As , the number has non - terminating decimal , so , √17 is an irrational number.
D.
√18
= 4.2426
As , the number has non - terminating decimal , so , √18 is an irrational number.
Therefore , the correct option is B that is square root of 16 i.e., 4 is a rational number.
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evaluate the determinant in exercise 13 by a cofactor expansion along a. the first row. b. the first column. c. the second row. d. the second column. e. the third row. f. the third column.
a. a11C11 + a12C12 + a13C13
b. a11C11 - a21C21 + a31C31
c. a21C21 - a22C22 + a23C23
d. -a12C12 + a22C22 - a32C32
e. a31C31 - a32C32 + a33C33
f. -a13C13 + a23C23 - a33C33
To evaluate the determinant in exercise 13 by a cofactor expansion along a, the first row. b, the first column. c, the second row. d, the second column. e, the third row. f, the third column, we can use the following steps:
First, we can use a cofactor expansion to evaluate the determinant along each of the six rows or columns in exercise 13. The cofactor expansion along the first row is shown below: a11C11 + a12C12 + a13C13.The cofactor expansion along the first column is shown below: a11C11 - a21C21 + a31C31.The cofactor expansion along the second row is shown below: a21C21 - a22C22 + a23C23.The cofactor expansion along the second column is shown below: -a12C12 + a22C22 - a32C32.The cofactor expansion along the third row is shown below: a31C31 - a32C32 + a33C33.The cofactor expansion along the third column is shown below: -a13C13 + a23C23 - a33C33.
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A sub shop sold sandwiches that were one-half of a foot long. If you were to cut the sandwich into 9 equal pieces, what fraction of a foot would each piece be?
Answer:
\(\frac{1}{18}\)
Step-by-step explanation:
\(\frac{1}{2} / \frac{9}{1} = \frac{1}{2} (\frac{1}{9} ) = \frac{1}{18}\)
the basketball game had 600 people in attendance if the ratio of hawk fans to cyclone fans is 2:10 how many more cyclone fans were there
Variables:
x: hawk fans
y: cyclone fans
The basketball game had 600 people in attendance means:
x + y = 600
The ratio of hawk fans to cyclone fans is 2:10 means
\(\begin{gathered} \frac{x}{y}=\frac{2}{10} \\ 10x=2y \\ \frac{10x}{2}=y \\ 5x=y \end{gathered}\)Substituting the last equation into the first equation, we get:
x + 5x = 600
6x = 600
x = 600/6
x = 100
And the value of y is:
y = 5*100
y = 500
There were 500 - 100 = 400 more cyclone fans
algebra anyone ik ppl like it
Answer:
2x-3
Step-by-step explanation:
f(x) = 3x-1
g(x) = x+2
(f-g)(x) = 3x-1 - (x+2)
Distribute the minus sign
= 3x-1 -x-2
Combine like terms
= 2x -3
4/3x -(2/3x) I need help
Answer: 2/3x
Step-by-step explanation: 4 - 2 = 2 so 4/3x - 2/3x = 2/3x.
Answer:
2/3x
Step-by-step explanation:
What is the missing value (-15)+18=
Answer:
3
Step-by-step explanation:
(-15) + 18 = 3
We can check our answers by adding 15 to 3 when doing inverse operations.
Answer:
3
Step-by-step explanation:
-15 + 18 = 3
6. Find each of the following values of the function. * Given h(x) = x2 - 5x+7,
a. h(2)
b.h(-5)
c. h(-8)
Step-by-step explanation:
h(x) = x^2 - 5x + 7
(a) h(2) = (2)^2 - 5(2) + 7
= 4 - 10 + 7
= 1
(b) h(-5) = (-5)^2 - 5(-5) + 7
= 25 + 25 + 7
= 57
(c) h(-8) = (-8)^2 - 5(-8) + 7
= 64 + 40 + 7
= 111
prove propositions 4.4 on the existence of angle bisectors. prove that the angle bisector is unique.
The angle bisector from a vertex to the opposite side of a triangle is unique. We get AD = BE by subtracting BD from both sides of AB + BD = BE.
Proposition 4.4 states that in every triangle, there exists an angle bisector from a vertex to the opposite side and the angle bisector is unique.
Proof:
Let ΔABC be the given triangle and suppose AD is the angle bisector from A to BC. To prove that AD is unique, suppose BE is another angle bisector from B to AC.
We need to show that AD = BE.
Construct the incenter I of ΔABC. Draw lines AI and BI. AI bisects ∠A and BI bisects ∠B.
So, ∠AIB = 90° + ½ ∠C (proved in proposition 4.3).
Again, ∠AIB = ∠AID + ∠BIE [angle addition property of equality]
Therefore, ∠AID + ∠BIE = 90° + ½ ∠C...(1)
Since AD is the angle bisector from A to BC, we have
∠BAD = ∠CAD
Also, BE is the angle bisector from B to AC, so
∠EB = ∠EC
Adding these two equations, we get
∠BAD + ∠EB = ∠CAD + ∠EC...(2)
Since ∠A + ∠B + ∠C = 180° (angle sum property of a triangle),
∠C/2 + ∠B/2 + ∠A/2 = 180° (angle bisector property)
Therefore, ∠A/2 + ∠B/2 = 90° - ∠C/2
So, 2∠A/2 + 2∠B/2 = 180° - ∠C...(3)
Adding equations (1), (2), and (3), we get
∠AID + ∠BIE + ∠BAD + ∠EB + 2∠A/2 + 2∠B/2 = 360° - ∠C/2 + 180° + ∠C/2 + 180° - ∠C
∠AID + ∠BIE + ∠BAD + ∠EB + ∠A + ∠B = 360°(simplifying)
Therefore,
∠AID + ∠BIE + ∠BAD + ∠EB = 180°...(4)
Now, consider ΔABD and ΔEBD.
∠ABD = ∠EBD (∵ AD and BE are angle bisectors)
∠BAD = ∠BED [from equation (2)]
Therefore, ΔABD ≅ ΔEBD (∵ SAS congruence criterion)
So, BD = BD [by CPCTC]
Thus, we get AD = BE [by subtracting BD from both sides of AB + BD = BE]
Hence, the angle bisector from a vertex to the opposite side of a triangle is unique.
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Solve using substitution. Y=1 -3x+4y=-20
Answer: We can start by solving for one variable in one of the equations and then substituting that value into the other equation.
Solve for y in the first equation: y = 1 - 3x
Substitute this value of y into the second equation: 4(1 - 3x) + 4x = -20
Solve for x: -4x = -24
x = 6
Substitute this value of x into the first equation to find the value of y: y = 1 - 3(6) = -17
So the solution is x = 6 and y = -17.
Step-by-step explanation:
Which numbers are in order form least to greatest?
Answer:
B
Step-by-step explanation:
Paul's time for swimming in the Ironman triathlon was 1 hour 25 minutes. Her time for viking was 5 hours longer than her swimming time. She ran for 4 hours 50 minutes. Assuming she took no breaks in between each event, how long did it take her to complete all three parts of the race?1 hour =60 minutes
It took Paul a total of 12 hours and 40 minutes to complete all three parts of the Ironman triathlon.
Paul’s time for swimming in the Ironman triathlon was 1 hour 25 minutes. Her time for biking was 5 hours longer than her swimming time, so her biking time was (1 hour + 5 hours) = 6 hours 25 minutes. She ran for 4 hours 50 minutes. The total time it took her to complete all three parts of the race is (1 hour 25 minutes) + (6 hours 25 minutes) + (4 hours 50 minutes) = 12 hours 40 minutes.
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