Answer: Try almost tilting the box to the side to figure it out better, maybe draw on paper?
Step-by-step explanation:
why is the domain of sin^-1(x) and cos^-1(x) are different while the domain of sin(x) and cos(x) are the same?
The domain of sin^-1(x) and cos^-1(x) are different while the domain of sin(x) and cos(x) are the same is due to the inverse properties and the range of their respective functions.
The domain of sin(x) and cos(x) are the same because both are trigonometric functions that can accept any real number as input, meaning their domain is all real numbers (-∞, ∞).However, when we consider their inverse functions, sin^-1(x) and cos^-1(x), we need to restrict their domain to ensure that these inverse functions are well-defined and unique. The range of sin(x) is between -1 and 1, so the domain of sin^-1(x) is restricted to the interval [-1, 1]. Similarly, the range of cos(x) is also between -1 and 1, but its behavior is different from sin(x), so the domain of cos^-1(x) is also restricted to the interval [-1, 1].Know more about the domain
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Which statement correctly compares the values in the statement?
StartAbsoluteValue negative 0.073 EndAbsoluteValue blank box StartAbsoluteValue 0.73 EndAbsoluteValue
0.073 less-than 0.73
0.073 less-than negative 0.73
0.073 greater-than 0.73
0.073 = 0.73
Answer:
The answer is 0.731 is greater than 0.73
Step-by-step explanation:
well first of all knowing how to all the steps and its obvious since there is an extra number which makes it a higher number then 0.73!
hope this helped!
Answer:
It's c
Step-by-step explanation:
c: 0.073 greater-than 0.73
1. For the plot shown, (a) Over the time range shown, is this signal continuous or discrete? (b) Is this a causal signal? Explain. Neatly sketch the following: (c) \( y(t)=x(t-2) \) (d) \( y(t)=x(t+1)
The signal in the plot is a continuous signal. It is a causal signal, because the output value at any time t only depends on the input values up to time t. The shifted signals y(t) = x(t-2) and y(t) = x(t+1) are also continuous signals.
A continuous signal is a signal that can be represented by a function that is continuous at all points in time. A causal signal is a signal whose output value at any time t only depends on the input values up to time t.
The signal in the plot is a continuous signal because the graph of the signal is a smooth curve. The signal is also a causal signal because the output values of the signal at time t do not depend on the input values at time t+1 or later.
The shifted signals y(t) = x(t-2) and y(t) = x(t+1) are also continuous signals because they are simply shifted versions of the original signal. The graph of y(t) = x(t-2) is the graph of the original signal shifted two units to the right. The graph of y(t) = x(t+1) is the graph of the original signal shifted one unit to the left.
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What is the solution (q, r) to this system of linear equations?
12q + 3r = 15
–4q – 4r = –44
A. (–18, 29)
B. (–2, 13)
C .(8, –1)
D.(15, –44)
Answer: B) (–2, 13)
Step-by-step explanation:
Hopes this helps!
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Pls and Ty!
a graduate class has 7 students with a grades and 14 students with b grades. calculate the number of ways in which 4 a students can be uniquely selected.
There are 35 unique ways to select 4 A students from 7 A students. This can be calculated using the formula: 7C4 = 7! / (4! * (7 - 4)!)
This is a permutation and combination problem that involves finding the number of unique arrangements possible for 4 students out of 7 students who have received grades A.
The formula for permutation of n items taken r at a time is given by P(n,r) = n! / (n-r)! where n is the total number of items and r is the number of items taken at a time.
In this case, we have to find P(7,4) = 7! / (7-4)! = 5040/3! = 840. This means there are 840 different ways in which 4 A students can be uniquely selected from a class of 7 students who received grades A.
This concept is important in many areas of mathematics and science, particularly in the field of statistics where it is used in hypothesis testing, estimation and prediction.
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Evan budgets $2000 a month to spend on living living expenses for his family complete the table to expressed a portion spent on each cost as a percent fraction and decimal
Completing the table to expressed a portion spent on each cost as a percent fraction and decimal will be:
FOOD:
Fraction = 1/4
Decimal = 0.25
Percent = 25%
RENT:
Fraction = 6/10
Decimal = 0.60
Percent = 60%
TRANSPORT:
Fraction = 3/20
Decimal = 0.15
Percent = 15%
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
It should be noted that 1/4 as a percentage will be:
= 1/4 × 100
= 25%
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what is the mass of x divided by 12
The value of expression is,
⇒ x ÷ 12
We have to given that;
The algebraic expression is,
⇒ x divided by 12
Hence, We can formulate;
The value of correct expression is,
⇒ x ÷ 12
⇒ x / 12
Thus, The value of expression is,
⇒ x ÷ 12
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A math test is worth 100 points with questions either true/false worth 2 points or a multi-step worth 5 points. There are 22 more true/false questions than multi-step questions. Write a linear equation for the situation. How many of each type of question are there on the test? Hint: Solve by substitution
Answer:
true
Step-by-step explanation:
Jack is 12 years older than Brian. Two years from now, Jack will be twice as old as Brian. How old is Brian?
Please don't add a link.
Answer:
Step-by-step explanation:
There are 24 boys and 16 girls in a hall, each holding coins in their hand.The mean number of coins for the children is 11, The mean number of coins for the boys is 9 Work out the mean number of coins for the girls.
Answer:
14
Step-by-step explanation:
The computation of the mean number of coins for the girls is shown below:
Since there are 24 boys and 16 girls so the total children is 40
So the number of coins for all children is
= 40 × 11
= 440
And, the number of coins for all boys is
= 9 × 24
= 216
Now the mean is
= (440 - 216) ÷ 16 girls
= 14
Lines / and mare parallel. Line / can be represented by the equation 3x + 4y = 8. If line m passes through the po
m?
y-5= -
(x+2)
y +5 = -
44-2)
y-5= f «+2)
y+5 = ģ«-2)
Answer:B
Step-by-step explanation:
Answer:
B y-5=- 3/4(x-2)
Step-by-step explanation:
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. What is the median weight of the players?
Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.
The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.
The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.
In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.
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plz help with this 2nd one.
Answer:
-4
Step-by-step explanation:
5-2=3
3/3=1
1-5= -4
Answer:
the x = -4, just because
3(x+5)+2=5, so 3x+15+2=5 then 3x=-12. x=-12/3
a piece of rock has a mass of 86.3g , correct to the nearest 0.1g . find the greatest possible mass of the rock in 2 decimal places
The greatest possible mass of the rock to two decimal places is 86.34 g
How to find the greatest possible mass of the rock?Since the mass of the piece of rock is 86.3 g, correct to the nearest 0.1 g. Thus, the actual mass of the rock in 2 decimal places could be between 86.25 g and 86.34 g.
To find the greatest possible mass of the rock, we need to round up to the higher end of the range of the mass of the rock.
Therefore, the greatest possible mass of the rock to two decimal places is 86.34 g
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a poster of area 11760 cm2 has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the sides. find the dimensions that maximize the printed area.
A poster of area 11760 cm2 has blank margins of 10 cm wide on the top and bottom and 6 cm wide on the sides. The dimensions that maximize the printed area are 500 cm x 23.52 cm.
The problem can be solved using the following concept:
Suppose we have a function f(x), then at the maximum/minimum point, it holds:
f '(x) = 0
In the given problem, let:
q = length of the poster
p = width of the poster
Then,
p x q = 11760
or q = 11760/p
Let f(p,q) be the function of printed area, then:
f(p,q) = (p - 20)(q - 12)
f(p) = (p - 20) (11760/p - 12)
f(p) = -p² + 1000p - 980 x 20
At the maximum point:
f '(p) = 0
-2p + 1000 = 0
p = 500
Substitute p = 500 to get q:
q = 11760/p = 11760/500 = 23.52
Hence, the maximum printed area obtained if the dimensions are 500 cm x 23.52 cm
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sketch the signal
1)u(t-5)-u(t-7)
2)u(t-5) +u(t-7)
3) (t-4)[u(t-2)-u(t-4)]
a) A pulse of width 2 units, starting at t=5 and ending at t=7.
b) A sum of two pulses of width 1 unit each, one starting at t=5 and the other starting at t=7.
c) A ramp starting at t=2 and ending at t=4.
Part 2
a) A rectangular pulse of height 1, starting at t=5 and ending at t=7.
b) Two rectangular pulses of height 1, one starting at t=5 and the other starting at t=7, with a gap of 2 units between them.
c) A straight line starting at (2,0) and ending at (4,2).
In part 1, we are given three signals and asked to identify their characteristics. The first signal is a pulse of width 2 units, which means it has a duration of 2 units and starts at t=5 and ends at t=7. The second signal is a sum of two pulses of width 1 unit each, which means it has two parts, each with a duration of 1 unit, and one starts at t=5 while the other starts at t=7. The third signal is a ramp starting at t=2 and ending at t=4, which means its amplitude increases linearly from 0 to 1 over a duration of 2 units.
In part 2, we are asked to sketch the signals. The first signal can be sketched as a rectangular pulse of height 1, starting at t=5 and ending at t=7. The second signal can be sketched as two rectangular pulses of height 1, one starting at t=5 and the other starting at t=7, with a gap of 2 units between them. The third signal can be sketched as a straight line starting at (2,0) and ending at (4,2), which means its amplitude increases linearly from 0 to 2 over a duration of 2 units. It is important to note that the height or amplitude of the signals in part 2 corresponds to the value of the signal in part 1 at that particular time.
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find the area of the region bounded by the given curves. y = 6x2 ln(x), y = 24 ln(x)
The area of the region bounded by the given curves. y = 6x2 ln(x), y = 24 ln(x) is 2.85 sq.units.
In this question we need to find the area of the region bounded by the given curves. y = 6x^2 ln(x), y = 24 ln(x)
Equating both the equations of the curve,
6x^2 ln(x) = 24 ln(x)
24 ln(x) - 6x^2 ln(x) = 0
x = 1, 2
This means, the curves intersect at x = 1 and x = 2.
So, the required area would be,
A = ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx
First we find the indefinite integral ∫[24 ln(x) - 6x^2 ln(x)] dx
= -6 ∫[-4 ln(x) + x^2 ln(x)] dx
= -6 ∫ln(x) (x^2 - 4) dx
= -6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x
So, ∫[1 to 2] [24 ln(x) - 6x^2 ln(x)] dx
= [-6 ln(x) (1/3 x^3 - 4x) + 2/3 x^3 - 24x] _(x = 1 to x = 2)
= 32 ln(2) - 58/3
= 22.18 - 19.33
= 2.85 sq.units.
Therefore, the area of the region is 2.85 sq.units.
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Ray purchased a jacket with 60% discount, for $240. how would you calculate price before a sale?
Answer:
$400
Step-by-step explanation:
We will make this question into a function by setting 'p' as the initial price before sale and converting the percent to a decimal (60*0.01).
Because the final price was calculated by multiplying the initial price by 60%, we can represent that with the function:
0.6p=240
All we need to do now is isolate p by dividing out 0.6.
p=400
Giving us an answer of $400 (that's an expensive jacket )
what subset is the square root 144
Answer:
12 and natural numbers
Step-by-step explanation:
What is the radius of a sphere if its volume is 7,234.56 ft3 please answer it,Show work.
Answer:
11.52 feet
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius.
We can rearrange the formula to solve for the radius:
r = (3V/4π)^(1/3)
Substituting the given volume V = 7,234.56 ft³, we get:
r = (3(7,234.56)/(4π))^(1/3) ≈ 11.52 ft
Therefore, the radius of the sphere is approximately 11.52 feet.
3. You have a job where you make $15 an hour. You want to
earn $165 this week so that you can buy a new stereo. How
many hours, h, do you have to work in order to earn the $165?
Answer:
11 hours
Step-by-step explanation:
I need help solving A (ignore B and C, I have them solved already). I'm just a little confused on A. I need to find the measure of X and Y
Answer:
x = -113
y = 30
Step-by-step explanation:
110+10+2y=180
2y=180-110-10
=60
y=60/2
y=60/2 =30
-3x-10-2x+15+110+120+95=540
-3x-2x =540+10-15-110-120-95
-5x=210
x=210/-5
x=210/-5 = - 42
Step-by-step explanation:
Here,
110+2y+10=180°(being sum of angles in
a straight line)
y=180-120
y=60°,,
now,
to find the value of X,
120+95+110+3x-10+2x+15=540°(being sum of all angle of pentagon)
330+5x=540°
5x=540-330
5x=210
X=210/5
x=42°,,
Find the total surface area.
Answer:
143.4 mi²
Step-by-step explanation:
Top: 8x6=48
Bottom: 3x8=24
Sides: 3x8=24 and 24
Trapezoids sides: (6+3)/2*2.6=4.5*2.6=11.7 and 11.7
TOTAL: 48+24+24+24+11.7+11.7= 143.4 mi²
Make the biggest possible number using the digits below only once 3 , 1 , 3 answer
Answer:
331 the biggest possible number
what does w equal in 3w + 7 = 19
Answer:
\(w=4\)
Step-by-step explanation:
So we have the equation:
\(3w+7=19\)
Subtract 7 from both sides:
\(3w=12\)
Divide both sides by 3:
\(w=4\)
So, the value of w is 4.
And we're done!
The value of w in the equation 3w + 7 = 19 will be 4 .
Given ,
Equation : 3w + 7 = 19
Here,
Solve the equation ,
Take 7 from LHS to RHS ,
3w = 19 - 7
3w = 12
Divide both LHS and RHS by 3
w = 12/3
w = 4
Thus the value of w will be 4 .
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f(x)=5sinx+cosx then f ′
(x)=−5cosx−sinx Select one: True False
False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.
To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).
Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.
Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:
f'(x) = 5cos(x) - sin(x).
This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).
In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).
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The following dot plot represents a random sample of elementary students and the number of children that live in their home.
Part 1: What is the range of the data set?
Part 2: What is the interquartile range of the data set?
Part 3: What is the mean absolute deviation of the data set? [Round both the mean and the mean absolute deviation to the nearest tenth.]
Answer:
Part 1 is 5
Part 2 is 1
Part 3 is 4.8
Step-by-step explanation:
It is right indeed.
The binomial distribution is used when
When there are precisely two outcomes of a trial that are mutually exclusive, the binomial distribution is used.
A discrete distribution is the binomial distribution. It is a probability distribution that is frequently utilised. It is then designed to represent a variety of distinct phenomena that appear in business, social sciences, natural sciences, and medical research.
The probability of achieving a specific number of successes, such as successful basketball shots, out of a fixed number of trials can be determined using the binomial distribution. To determine discrete probabilities, we use the binomial distribution.
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briefly explain the goal for defining and measuring variability. a measure of variability describes the degree to which the scores in a distribution are . variability also measures the .
Variability provides a quantitative measure of the differences between scores in a distribution and describes the degree to which the scores are spread out to clustered together. The purpose for measuring variability is to obtain an objective measure of how the scores are spread out in a distribution
What is variability ?Variability also measure how accurately individual score or sample represent the entire population
When the standard deviation is 0 , the scores have no variability.
Variability describes how far the data points are from each other and from the center of the distribution. In addition to measures of central tendency, measures of variability provide descriptive statistics that summarize the data.
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can someone please help me and write out the answer
Answer:
\( - 30\)
Step-by-step explanation:
\( \sin {}^{ - 1} ( - \frac{1}{2} ) = \)
Using the identity,
\( \sin( - x) = - ( \sin(x) )\)
\( \sin( \frac{1}{2} ) = \frac{\pi}{6} \)
so
\( \sin {}^{ - 1} ( \frac{ - 1}{2} ) = - \frac{\pi}{6} \)
Convert to degrees.
\( - 30\)