Answer:
lines 1 and 4
Step-by-step explanation:
both lines have a slope of 1/3 and are, therefore, parallel
Name a pair of adjacent angles with vertex M.
Answer: a
Step-by-step explanation:
i just did the quiz:))
Answer:
Step-by-step explanation:
evaluate the double integral. d (2x y) da, d = {(x, y) | 1 ≤ y ≤ 2, y − 1 ≤ x ≤ 1}
the value of the double integral is 5/6.
We are given the double integral:
∫∫d (2xy) dA
where d = {(x, y) | 1 ≤ y ≤ 2, y − 1 ≤ x ≤ 1}
We can evaluate this integral by integrating over the given region d:
∫1^2 ∫y-1^1 2xy dxdy
Integrating with respect to x first, we have:
∫1^2 ∫y-1^1 2xy dx dy
= ∫1^2 [x^2y]y-1^1 dy
= ∫1^2 [2y - 2y^3] dy
= [y^2 - (1/2)y^4]1^2
= (4 - 8/3) - (1 - 1/2)
= 5/6
what is double integral?
A double integral is an integral with two variables, which is used to calculate the signed volume between a surface defined by a function f(x, y) and the xy-plane over a region in the xy-plane. The region is usually a rectangle, but it can be any two-dimensional shape.
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To visit the top of the Empire State Buidling, a ticket
cost $20.00 in 2009. In 2020, the price rose to $50.00. What was the percent increase?
Answer:
Step-by-step explanation:
the percent increase is
(50-20/20)*100=(30/20)*100=150
150% increase
Jeremy needs to measure the width of an oil
Spill He sets up similar triangles as shown in the
diagram
1
75 km
о
150 km
oil
spill
X
O
50 km
25 km
40 km
20 km
20 km
27. How wide is the oil spill?
CLEAR ALL
The two triangles given in the diagram are said to be similar, so that their sides can be compared. Therefore, the width of the oil spill is 50 km.
A triangle is a figure with three sides. Two or more triangles are said to be similar if and only if their sides have relating figures. Thus, to determine the width of the oil spill, the two given triangles are to be compared. This would result to:
\(\frac{20}{40}\) = \(\frac{25}{x}\)
x = \(\frac{40*25}{20}\)
= \(\frac{1000}{20}\)
= 50
x = 50 km
Therefore the width of the oil spill is 50 km.
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PLS I NEED HELP ILL MARK AS BRAINLIEST
Simplify -7 + 7 -19 A.12 B.-19 C. 0 D.19 PlZZzz Help me
Answer:
8^2+20-30x
Step-by-step explanation:
Answer:
Hello
B. -19
Step-by-step explanation:
= (-7)+7-(19)
= (-7+7)-19
= 0-19
= -19
Graph :StartFraction x squared Over 49 EndFraction + StartFraction (y + 1) squared Over 4 EndFraction = 1
The graph of the equation x^2/49 + (y + 1)^2/4 = 1 is added as an attachment
How to graph the equationThe expression that represents the function in words is given as
StartFraction x squared Over 49 EndFraction + StartFraction (y + 1) squared Over 4 EndFraction = 1
Express the equation properly
So, we have
x^2/49 + (y + 1)^2/4 = 1
The above equation is an ellipse
Next, we plot the graph on a coordinate plane using a graphing tool
See attachment for the graph of the equation
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a group of students played a game in which they earned points for answering questions correctly. the following dotplot shows the total number of points earned by each student.
a) Approximately normal
b) Bimodal without a gap
c) Bimodel with a gap
d) Skewed to the right without a gap
e) Skewed to the right with a gap
Based on the description, it is not possible to provide a specific answer without a visual representation of the dot plot. However, I can explain each term and help you identify the correct answer once you examine the dot plot.
a) Approximately normal: The dot plot would resemble a bell curve, with most points centered around the mean and symmetrically distributed on both sides.
b) Bimodal without a gap: The dot plot would have two distinct peaks, but the points are continuous and do not have a gap between them.
c) Bimodal with a gap: The dot plot would have two distinct peaks, with a clear gap separating them.
d) Skewed to the right without a gap: The dot plot would have a longer tail on the right side, indicating higher values, with no gap in the data.
e) Skewed to the right with a gap: The dot plot would have a longer tail on the right side, indicating higher values, and a clear gap in the data.
To determine the correct answer, examine the dot plot and identify its shape based on the explanations provided above. Then, choose the option that best describes the dot plot.
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In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what is the value of b, if c=13, a=5
9514 1404 393
Answer:
b = 12
Step-by-step explanation:
A commonly seen "Pythagorean triple" is (a, b, c) = (5, 12, 13).
The value of b is 12.
__
You may be expected to find this using the Pythagorean theorem.
a² +b² = c²
b² = c² - a²
b = √(c² -a²) = √(13² -5²) = √(169 -25) = √144
b = 12
_____
Additional comment
Pythagorean triples you will run across are ...
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)
and their multiples, such as 2×(3, 4, 5) = (6, 8, 10). Of course, there are an infinite number of integer Pythagorean triples, but these are ones commonly seen in algebra, trig, and geometry problems.
among all students, what proportion earn an a and don't attend class regularly? aandnotr - numeric answer type your answer here round to four decimal places.
The corresponding probabilities are: A. P(R) = 0.72 B. P(R') = 0.28 C. P(A ∩ R) = P(R) * P(A | R) = 0.72 * 0.51 = 0.367 D. P(A | R) = 0.51 E. P(A ∩ R') = P(R') * P(A | R') = 0.28 * 0.10 = 0.028 F. P(A' ∩ R) = P(R) * P(A' | R) = 0.72 * 0.49 = 0.352 G. P(A' ∩ R') = P(R') * P(A' | R') = 0.28 * 0.90 = 0.252
(a) The tree diagram with the corresponding probabilities is:
A (0.51) A' (0.49) A (0.10) A' (0.90)
(b) The proportion of students who earn an A and don't attend class regularly is:
P(A ∩ R') = 0.028
(c) The chance that a randomly chosen student will earn an A in the class is:
P(A) = P(A ∩ R) + P(A ∩ R')
= 0.367 + 0.028
= 0.395
(d) Given that a student earned an A, the chance they attend class regularly is:
P(R | A) = P(A ∩ R) / P(A)
= 0.367 / 0.395
≈ 0.9291 (rounded to four decimal places)
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Complete question:
A professor has noticed that students hat attend class regularly, mss no more than two classes per term, generally get better grades. For he class, the overall percent o students who attend regularly s 72% or those who come to class on a regular basis, 51% receive A's. Of those who don't attend regularly, only 10% get A's. (b)Among all students what proportion earn an A and don't attend class regularly?
is 64,96 and 60,90 proportional
The common rate of both expressions are equal, so the expressions 64,96 and 60,90 are proportional
How to determine if the expressions are proportional?The expressions are given as
64,96 and 60,90
Rewrite the expressions as
(x, y) = (64,96) and (60,90)
As a general rule
Proportional expressions have the same constant rate
The constant rate (r) of the expressions is then calculated as
r = y/x
For the expression (64, 96), we have the following computation
r = 96/64
Evaluate the quotient
So, we have
r = 1.5
For the expression (60, 90), we have the following computation
r = 90/60
Evaluate the quotient
So, we have
r = 1.5
The common rate of both expressions are equal i.e. 1.5
Hence, the expressions 64,96 and 60,90 are proportional
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3) Six teams are playing in a baseball tournament. In how many ways can the teams be crowned champion and
runner-up?
Answer:
15ways
Step-by-step explanation:
This question bothers combination
Combination has to do with selection
Given
Total number of teams = 6
champion and runner up = 2
number of ways is expressed as 6C2
6C2 = 6!/(6-2)!2!
6C2 = 6!/4!2!
6C2 = 6*5*4!/4!*2
6c2 = 30/2
6C2 = 15
Hence the number of ways they can be selected is 15ways
Given the points (5, 5) and (3, 7), write a linear equation that contains both in slope-intercept form.
Answer:
y= - x + 10
Step-by-step explanation:
The differential equation of a control system is given below.
d² f(t)/dt + 5 df (t)/dt +4ƒ(t) = e¯2x u(t)
A) Find the transfer function T(s) = F(s) / U(s)
of the system.
B) By showing the poles of the system in the complex S-plane, explain whether the system is stable
or not.
The system is stable as the real part of both poles is negative.
A) The transfer function of the system is \(T(s) = F(s) / U(s) = 1/(s²+5s+4).\)
B) The poles of the transfer function T(s) are given by s = -4 and s = -1. Both of these poles have negative real parts, which means that the system is stable.
Given differential equation is \(:d² f(t)/dt² + 5 df(t)/dt +4ƒ(t) = e¯2x u(t).\)
We have to find the transfer function T(s) and by showing the poles of the system in the complex S-plane, explain whether the system is stable or not.
Let's start: A) Find the transfer function T(s) = F(s) / U(s) of the system.
The transfer function T(s) is defined as the ratio of output F(s) to input U(s) taking Laplace transform of the given differential equation we get:
\($$\frac{d^2F(s)}{dt^2}+5\frac{dF(s)}{dt}+4.\)
\(F(s)=e^{-2s}U(s)$$$$s^2\)
\(F(s)-sf(0)-f'(0)+5sF(s)-f(0)+4\)
\(F(s)=\frac{1}{s+2}$$$$s^2\)
\(F(s)+5sF(s)+4F(s)=\frac{1}{s+2}+f(0)(s+5)+f'(0)(s+1) $$$$(s^2+5s+4)\)
\(F(s)=\frac{1}{s+2}+f(0)(s+5)+f'(0)(s+1)$$$$\)
\(T(s)=\frac{F(s)}{U(s)}=\frac{1}{s^2+5s+4}$$B)\)
By showing the poles of the system in the complex S-plane, explain whether the system is stable or not.
The poles of the transfer function T(s) are the roots of the denominator polynomial s²+5s+4.Hence poles are given by
\(s = [-5 ± √(5²-4.4.1)] / 2s = [-5 ± √(9)] / 2s = -4 or -1\)
Hence the system is stable as the real part of both poles is negative.
A) The transfer function of the system is \(T(s) = F(s) / U(s) = 1/(s²+5s+4).\)
B) The poles of the transfer function T(s) are given by s = -4 and s = -1. Both of these poles have negative real parts, which means that the system is stable.
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23 ✓24 In a recent year, 23.1% of all registered doctors were female. If there were 55,700 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number.
The Total number of registered doctors will be 246753.
How to illustrate the percentage?A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.
Let the total number of doctors be x.
Since 23.1% of all registered doctors were female. If there were 55,700 female registered doctors that year. This will be:
23.1% × x = 55700
0.231x = 55700
Divide
x = 57000 / 0.231
x =246753
The doctors are =246753.
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Evaluate the integral. S® √x² + 81 dx
The indefinite integral of the given expression √(x² + 81) dx is equal to (1/2) × (1 + (x/9)²) + C.
To integrate the expression ∫ √(x² + 81) dx,
use a trigonometric substitution.
Let's substitute x = 9tanθ,
dx = 9sec²θ dθ
√(x² + 81)
= √(81tan²θ + 81)
= 9secθ
Now, let's express the integral in terms of θ,
∫ √(x² + 81) dx
= ∫ 9secθ × 9sec²θ dθ
= 81∫ sec³θ dθ
Using the trigonometric identity sec³θ = secθ × sec²θ, we have,
∫ sec³θ dθ = ∫ secθ × sec²θ dθ
Now, let's use the substitution u = secθ and du = secθ × tanθ dθ,
∫ sec³θ dθ = ∫ u × du
Integrating u with respect to u, we get,
∫ u × du = u² / 2 + C
Substituting back u = secθ, we have,
∫ sec³θ dθ = sec²θ / 2 + C
Finally, we need to convert back from θ to x using the substitution x = 9tanθ,
sec²θ = 1 + tan²θ = 1 + (x/9)²
Replacing sec²θ with (1 + (x/9)²) and simplifying, we have,
∫ √(x² + 81) dx
= sec²θ / 2 + C
= (1 + (x/9)²) / 2 + C
Therefore, the indefinite integral of √(x² + 81) dx is (1/2) × (1 + (x/9)²) + C, where C is the constant of integration.
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pls see the question in attachment and solve it
Answer:
42°
Step-by-step explanation:
Measured with potractor
I NEED HELP d) If (m²-1)/m = 6, find the values of (i) m² + 1/m²
Answer:
(6m² + 12m + 2) / (6m + 1)
Step-by-step explanation:
multiply both sides by m.
we get m² - 1 = 6m
move the -1 to the other side, so it becomes +1
m² = 6m + 1
so m² + 1/m² = (6m + 1) + 1/(6m + 1)
get a common denominator by squaring (6m + 1)
(6m + 1)².
we now have (6m + 1)² / (6m + 1) + 1/(6m + 1).
we now add the numerators.
(6m + 1)² + 1 = (6m² + 6m + 6m + 1) + 1 = 6m² + 12m + 2.
numerator over denominator = (6m² + 12m + 2) / (6m + 1)
HELLPPPPPPPPPPP i cant get it
Answer:
Step-by-step explanation:
ME EITHER UGHHHHHHHH
It is a straight path that goes on without end in two directions. What is it?
A. line
B. plane
C.ray
D. triangle
The correct answer is A. line. A line is a straight path that extends infinitely in both directions. It has no endpoints and continues indefinitely.
A line is a basic geometric object that is defined by two points or can be represented by a single equation. It is characterized by its straightness and infinite length, extending in both directions without any boundaries or endpoints. A line can be represented by a straight line segment with two distinct points or by an equation such as y = mx + b in a coordinate system.
On the other hand, a plane refers to a two-dimensional flat surface that extends infinitely in all directions. It is not a straight path but rather a flat, continuous surface. A ray, is a part of a line that has one endpoint and extends infinitely in one direction. It is not a straight path that continues indefinitely in both directions like a line.
A triangle is a closed geometric shape with three sides and three angles. It is not a straight path but rather a closed figure formed by connecting three non-collinear points.Therefore ,the correct answer is A.
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Which list of numbers is shown on the number line? help please a b c or d I give you 20 or 30 points please answer me!
Answer:
B
Step-by-step explanation:
6 2/9 is 6.2, and sqrt 42 is 6.48
It's not really a specific question, but can someone pleeeeease explain how to do constant of proportionalities from tables! I've watched the khan videos on it, but it's just not clicking for me. Please help!
Answer:
by looking in the copy and learning the tips or step how to do it
Answer:
For example, we could use y = price in dollars, x = gas in gallons, and a constant of proportionality k to represent the amount of money you have to pay at the gas station y = kx. In other words, the price you pay is in direct proportion to the gallons pumped.
Step-by-step explanation:
Hope this helped you understand it better
~Heaven~
Chase ordered a set of beads. He received 4,000 beads in all. 3,000 of the beads were green. What percentage of the beads were green?
75% of the beads are green in color.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Chase ordered a set of beads
He received 4,000 beads in all.
3,000 of the beads were green.
We need to find the percentage of the beads were green of 4000.
x/100×4000=3000
40x=3000
Divide both sides by 40
x=75%
Hence, 75% of the beads are green in color.
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number from 1 to 12 stands for--
1) hours
2) minutes
Answer:
hours
Step-by-step explanation:
12 hours on an analog clock. there are 60 minutes in an hour, not 12.
Can someone please help me with geometry. Honestly I need help. Let me know please! :)
Answer:
Hey I want to try and help you out but can I know which grade you are?
According to international statistics, teenage pregnancy rates in the united states are higher than most other developed nations. a major reason for this troubling statistic is that:_____.
According to international statistics, teenage pregnancy rates in the united states are higher than most other developed nations. a major reason for this troubling statistic is that: B. teenagers in other countries are taught more comprehensive sex education, starting from an earlier age.
What is teenage pregnancy rate?Teenage pregnancy rate can be defined as the percentage of teenager between age 13 to age 19 that are impregnated.
It is important to educate teenager on what is called sex education from an earlier age as educating them will help to teach them all what they need to know when it comes to their sexual life which will inturn help to prevent teenage pregnancy.
The reason why we have high rate of teenage pregnancy in the United States of America is because this teenage does not have more comprehensive sex education compare to teenager in other countries.
Therefore the correct option is B.
The missing options are:
A. other countries teach primarily abstinence as birth control.
B. teenagers in other countries are taught more comprehensive sex education, starting from an earlier age.
C. more contraception is available to teenagers in other countries.
D. providing contraception to minors is not legal in the United States.
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a standing wave is set up in a pool 24 m long which contains six loops. what is the wavelength? a) 24 m b) 48 m c) 8 m d) 4 m
Two length of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. Given that the pool in this instance is 24 m long and has six loops, the wavelength is 4 m.
Wavelength = Length of Pool / Number of Loops
24 m / 6 loops
= 4 m
Wavelength
= 4 m
Two waves of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. A stationary wave pattern is produced when the two waves collide and interfere with one another. Six loops make up the 24 m-long pool in this instance. As a result, the standing wave's wavelength is equal to the pool's length divided by the number of loops, or 24 m / 6 = 4 m. This indicates that the standing wave's wavelength is 4 metres. Standing waves can be used to determine a wave's speed because they are equal to wavelength times frequency. Understanding how waves behave in various contexts, such as swimming pools, oceans, or other bodies of water, can be helped by this.
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find the steady state solution of the heat conduction equation
The steady-state solution of the heat conduction equation refers to the temperature distribution that remains constant over time. This occurs when the heat flow into a system is balanced by the heat flow out of the system.
To find the steady-state solution of the heat conduction equation, follow these steps:
1. Set up the heat conduction equation: The heat conduction equation describes how heat flows through a medium and is typically given by the formula:
q = -k * A * dT/dx,
where q represents the heat flow, k is the thermal conductivity of the material, A is the cross-sectional area through which heat flows, and dT/dx is the temperature gradient in the direction of heat flow.
2. Assume steady-state conditions: In the steady-state, the temperature does not change with time, which means dT/dt = 0.
3. Simplify the heat conduction equation: Since dT/dt = 0, the equation becomes:
q = -k * A * dT/dx = 0.
4. Apply boundary conditions: Boundary conditions specify the temperature at certain points or surfaces. These conditions are essential to solve the equation. For example, you might be given the temperature at two ends of a rod or the temperature at the surface of an object.
5. Solve for the steady-state temperature distribution: Depending on the specific problem, you may need to solve the heat conduction equation analytically or numerically. Analytical solutions involve techniques like separation of variables or Fourier series expansion. Numerical methods, such as finite difference or finite element methods, can be used to approximate the solution.
It's important to note that the exact method for solving the heat conduction equation depends on the specific problem and the boundary conditions given. However, the general approach is to set up the heat conduction equation, assume steady-state conditions, simplify the equation, apply the boundary conditions, and solve for the steady-state temperature distribution.
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please help me .......
Evaluate v 49t where t = 4.
Answer:
196
Step-by-step explanation:
49(4) = 196
Answer:
4v49
Step-by-step explanation: