Answer:
49°
Step-by-step explanation:
Line ED is 180°, so you can subtract 180 - 67 to find the value of ∠ACB, which is 113°. Since the angles of a triangle will always add up to 180°, you just need to subtract 180 - 18 - 113. This will get you 49°.
The velocity in a fluid flow field is given by u=2x+y^2u=2x+y2 and v=3x^2yv=3x2y where uu is the x-component of velocity, and vv is the y-component of velocity. What is the x-component of fluid acceleration in terms of x and y?
The x-component of fluid acceleration in terms of x and y is 2.
To find the x-component of fluid acceleration (ax), we need to differentiate the x-component of velocity (u) with respect to time.
However, the given equations provide the expressions for u in terms of x and y, not time. Therefore, we need to differentiate u with respect to x and y instead.
Given: u = 2x + y^2
To find the x-component of fluid acceleration (ax), we differentiate u with respect to x while treating y as a constant:
ax = ∂u/∂x = ∂(2x + y^2)/∂x = 2
The x-component of fluid acceleration, ax, is simply 2.
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Isaac owns a home, has a bi-weekly gross income of $1,925. 00,
and has total minimum monthly debt payments of $3,915. 0.
Choose the inequality that shows the minimum amount Isaac
needs to reduce his monthly debt payments by to have a debt-to-
income ratio of 35%.
x≤ $1,459. 79
x ≥ $1,459. 79
x≤ $2,455. 21
x ≥ $2,455. 21
The inequality that shows the minimum amount of Isaac is x ≥ $2,455.21
What is inequality?
An inequality is a mathematical statement that compares two expressions and expresses the relationship between them. It is represented by a symbol such as ">", "<", "≥", or "≤" and can be thought of as a generalization of an equation.
First, we need to find Isaac's monthly gross income. Since he has a bi-weekly gross income of $1,925, we can calculate his monthly gross income as follows:
Monthly gross income = bi-weekly gross income x 26 / 12 = $1,925 x 26 / 12 = $4,158.33
The debt-to-income ratio is the ratio of monthly debt payments to monthly gross income, expressed as a percentage.
We want to find the minimum amount by which Isaac needs to reduce his monthly debt payments to have a debt-to-income ratio of 35%.
So we can set up the following inequality:
Minimum monthly debt payments / Monthly gross income ≤ 35% / 100%
Substituting the given values, we get:
$3,915 / $4,158.33 ≤ 0.35
Simplifying this inequality, we get:
0.9407 ≤ 0.35
This inequality is not true, so we made an error in our calculations. Let's check the calculation of monthly gross income. We should have:
Monthly gross income = bi-weekly gross income x 26 / 12 = $1,925 x 26 / 12 = $4,158.33
This calculation is correct. The problem is that the minimum monthly debt payments of $3,915 are already higher than what is allowed by the debt-to-income ratio of 35%. In fact, the maximum monthly debt payments Isaac can have to satisfy the 35% debt-to-income ratio is:
Maximum monthly debt payments = Monthly gross income x 35% = $4,158.33 x 35% = $1,454.92
Therefore, the minimum amount by which Isaac needs to reduce his monthly debt payments is:
$3,915 - $1,454.92 = $2,460.08
Rounding this to two decimal places, we get $2,460.09, which is closest to the fourth option:
x ≥ $2,455.21
Hence, the inequality that shows the minimum amount of Isaac is x ≥ $2,455.21
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If you don’t know the answer pls don’t answer I just need help
since the Both line have \(\boxed{2/5}\) , line q and v are parallel.
What Is Slope of Parallel Lines ?In other words, parallel lines have equal slopes. If two lines have different y-intercepts and equal slopes, they are said to be parallel. In other words, the reciprocals of perpendicular slopes are negative.Parallel lines have an equal slope. The slope of parallel lines is identical because all of the parallel lines are similarly inclined with regard to the positive x-axis. M1 = M2 is the result if m1, m2 are the slopes of parallel lines.The slope of the q is \(\boxed{2/5}\) :
q pass though (0,2) and (5,0)
slope = 2/5
the slope of the line v is \(\boxed{2/5}\):
v pass though (0,-2) and (-5,0)
slope = -2/-5 = 2/5
since the Both line have \(\boxed{2/5}\) , line q and v are parallel.
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the geometric shape of a smooth up-and-down motion that represents a periodic oscillation like tides is a
The geometric shape that represents a smooth up-and-down motion of a periodic oscillation like tides is a sine wave. A sine wave is a smooth, continuous curve that repeats itself in a regular and periodic manner.
The geometric shape of a smooth up-and-down motion that represents a periodic oscillation like tides is a sinusoidal curve or a wave. More specifically, it can be described as a sine wave.
A sine wave is a smooth, continuous curve that repeats itself in a regular and periodic manner. It is characterized by its oscillating pattern, where it alternates between positive and negative values as it moves along the x-axis. The shape of the sine wave resembles the rising and falling motion of tides, making it an appropriate geometric representation.
In the context of tides, the sine wave represents the periodic variations in the water level caused by the gravitational pull of the Moon and the Sun. As the tide rises and falls, the water level follows a smooth, up-and-down motion similar to the shape of a sine wave.
By using mathematical functions and trigonometry, the behavior of tides and other periodic oscillations can be accurately modeled and represented by sinusoidal curves, allowing us to study and predict their patterns and behaviors.
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Suppose H is a subgroup of integers under addition.
Show that student submitted image, transcription available below
To show that H is a subgroup of integers under addition, we need to verify three conditions:
1. Closure: For any two elements a and b in H, their sum a + b must also be in H.
2. Identity element: There must exist an element e in H such that for any element a in H, a + e = a.
3. Inverse element: For any element a in H, there must exist an element -a in H such that a + (-a) = e.
To prove these conditions, we can consider the following:
1. Closure: Let a and b be any two elements in H. Since H is a subgroup of integers, a and b are integers. Therefore, their sum a + b is also an integer. Thus, H is closed under addition.
2. Identity element: The identity element for addition in the integers is 0. Since 0 is an integer, it is also an element in H. For any element a in H, we have a + 0 = a, satisfying the condition for an identity element.
3. Inverse element: For any element a in H, we know that -a is also an integer. Since H is a subgroup, -a must also be an element in H. Therefore, a + (-a) = 0, which is the identity element.
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53% of 2343 american adults surveyed said, they have watched digitally streamed tv programming on some type of device. what sample size would be required for the width of a 99% ci to be at most 0.05 irrespective of the value of at 99%
The sample size that would be required for the width of 99% is 2653.
What is sample size?The number of subjects involved in a sample size is referred to as the sample size in market research. A set of people chosen from the general community who are thought to be a representative sample size for that particular study is referred to as the sample size.
The following details are given:
Margin of error, E = 0.025; Significance Level, = 0.01
The proportion p is estimated to be p = 0.53.
The significance level with a critical value of 0.01 is 2.58.
The smallest sample size needed to estimate the population proportion p within the necessary margin of error is determined using the formula shown below:
n >= p*(1-p)*(zc/E)2 n = 0.53 *(1 - 0.53*)2 n = 2652.97 *(1-p)*(2.58/0.025)2
As a result, we determine that n = 2653 is the minimal sample size needed to satisfy the criteria that
n >= 2652.97 and that it must be an integer value.
Sample size is 2653.
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Using the graph below, what would the y-value (range) be for an x-value (domain) of -3?
Answer: The domain is the set of all possible x-values in the graph and the range is the set of all possible y-values in the graph. Incorrect. To determine the range, identify the set of all possible y-values in the graph. The minimum y-value on this graph is 4.
any more help just ask:)
Answer: The answer is -9.
Step-by-step explanation: I took the quiz. Hope this helps!
A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6. Is the
relationship between x and y proportional?
Yes, because 3 is proportional to 6.
Yes, because 3 is proportional to 3 + 6.
It cannot be determined. At least one other point on the line is needed
to determine if x is proportional to y.
A
B
C
D It cannot be determined. At least two other points on the line are needed
to determine if x is proportional to y.
It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y
Given data ,
A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6
Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.
As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required
Hence , the equation of line is solved
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30 POINTS!!!
Directions: Follow the instructions in each set to solve the problems.
Set A) Calculate the positive and negative values to solve the problems.
1) Jill owes $4 to Jennifer, $4 to Michelle, and $4 to Eileen. How much does she owe altogether?
2) Joey owes $4 to 4 different friends. How much money does he owe altogether?
3) What is the product of -7 and -6?
4) The total bill at a restaurant was $49 to be split evenly among 7 friends. How much money did each friend owe?
5) How much is -81 divided by 9?
6) How much is -100 divided by -10?
7) A group of 18 patrons each owe $15 at a restaurant. What is the total amount owed by all 18 customers?
8) What is the product of -12 and -13?
9) How much is -16 times 4?
10) What is the quotient when -45 is divided by -9?
Tip: Equations are used to make problem-solving easier.
Set B) Write an equation for each word problem. Then solve the equation. The first one is done for you.
Review these examples.
a) What number less 25 is 30?
n – 25 = ? n = 30
b) What number is 6 times 70:
n = 6 * 70 n = 420
c) What number divided by 4 = 9?
n/4 = 9 n = 36
1) What number is 12 less than 35?
Equation: n = 35- 12
Solution: n = 23
2) What number added to 23 equals 41?
Equation:
Solution:
3) What number less 29 is 61?
Equation:
Solution :
4) What number added to 36 equals 53?
Equation:
Solution:
5) What number added to 19 equals 43?
Equation :
Solution:
6) What number divided by 4 equals 12?
Equation:
Solution:
7) What number times 12 equals 96?
Equation:
Solution:
8) What number divided by 8 equals 11?
Equation:
Solution :
9) What number times 19 equals 190?
Equation:
Solution:
10) What number divided into 42 equals 6?
Equation:
Solution:
Answer:
Set A) Here are the solutions to the problems:
Jill owes $4 + $4 + $4 = $12 altogether.
Joey owes $4 * 4 = $16 altogether.
The product of -7 and -6 is 42.
Each friend owes $49 / 7 = $7.
-81 divided by 9 is -9.
-100 divided by -10 is 10.
The total amount owed by all 18 customers is 18 * $15 = $270.
The product of -12 and -13 is 156.
-16 times 4 is -64.
The quotient when -45 is divided by -9 is 5.
Set B) Here are the equations and solutions to the problems:
What number is 12 less than 35?
Equation: n = 35-12
Solution: n = 23
What number added to 23 equals 41?
Equation: n + 23 = 41
Solution: n = 18
What number less 29 is 61?
Equation: n - 29 = 61
Solution: n = 90
What number added to 36 equals 53?
Equation: n + 36 = 53
Solution: n = 17
What number added to 19 equals 43?
Equation: n +19 =43
Solution: n =24
What number divided by 4 equals 12?
Equation: n/4 =12
Solution: n=48
What number times 12 equals 96?
Equation: n*12=96
Solution: n=8
What number divided by 8 equals 11?
Equation: n/8=11
Solution: n=88
What number times 19 equals 190?
Equation: n*19=190
Solution: n=10
What number divided into 42 equals 6?
Equation: n/6=42
Solution: n=252
Answer:
Set A):
1. Jill owes $12 altogether ($4 + $4 + $4 = $12).
2. Joey owes $16 altogether ($4 + $4 + $4 + $4 = $16).
3. The product of -7 and -6 is 42.
4. Each friend owes $7 ($49 ÷ 7 = $7).
5. -81 divided by 9 is -9.
6. -100 divided by -10 is 10.
7. The total amount owed by all 18 customers is $270 ($15 × 18 = $270).
8. The product of -12 and -13 is 156.
9. -16 times 4 is -64.
10. The quotient when -45 is divided by -9 is 5.
Set B):
1. Equation: n = 35 - 12
Solution: n = 23
2. Equation: n + 23 = 41
Solution: n = 18
3. Equation: n - 29 = 61
Solution: n = 90
4. Equation: n + 36 = 53
Solution: n = 17
5. Equation: n + 19 = 43
Solution: n = 24
6. Equation: n/4 = 12
Solution: n = 48
7. Equation: n * 12 = 96
Solution: n = 8
8. Equation: n/8 = 11
Solution: n = 88
9. Equation: n * 19 = 190
Solution: n = 10
10. Equation: n/42 = 6
Solution: n = 252
Step-by-step explanation:
Solve for b.
ab +c=d
Answer:
Option 1 is correct.
ab + c = d
b = (d-c) / a
Answer:
The answer is A. b=(d-c)/a
Step-by-step explanation:
if p(x)=x^2+2x-5 and q(x)=-3, what is p(x)-q(x)?
Answer:
\( {x}^{2} + x - 2\)
Step-by-step explanation:
\(p(x)=x^2+2x-5 \: and \: q(x)=x-3 \\ \\ p(x) - q(x) \\ \\ = x^2+2x-5 - (x - 3) \\ \\ = x^2+2x-5 - x + 3 \\ \\ = {x}^{2} + 2x - x + 3 - 5 \\ \\ p(x) - q(x) = {x}^{2} + x - 2\)
Answer:c
Step-by-step explanation:
consider the quadratic function y equals short dash x squared plus 6 x minus 5. what do we know about the graph of this quadratic equation, based on its formula?
Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.
Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.
First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.
Next, we can find the vertex using the formula:
Vertex = (-b/2a, f(-b/2a))
where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:
Vertex = (-b/2a, f(-b/2a))
= (-6/(2*-1), f(6/(2*-1)))
= (3, -14)
So the vertex of the parabola is at the point (3,-14).
Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.
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Explanation of how we can make (a) subject
Answer:
Step-by-step explanation:
Find the equation of the tangent line to the curve when x has the given value. F(x) = x^2 + 5x ; x = 4 Select one: A. y =13x-16 B. y=-4x/25 +8/5 C. y=x/20+1/5 D.y=-39x-80
The correct answer for tangent line is A. y = 13x - 16.
What is tangent line?A line that barely touches a curve (or function) at a specific location is said to be its tangent line. In calculus, the tangent line may cross the graph at any other point(s) and may touch the curve at any other point(s).
To find the equation of the tangent line to the curve defined by \(F(x) = x^2 + 5x\) at x = 4, we can use the concept of differentiation.
First, let's find the derivative of F(x) with respect to x. Taking the derivative of \(x^2 + 5x\), we get:
F'(x) = 2x + 5.
Now, to find the slope of the tangent line at x = 4, we substitute x = 4 into F'(x):
F'(4) = 2(4) + 5 = 8 + 5 = 13.
So, the slope of the tangent line is 13.
To find the y-intercept of the tangent line, we substitute x = 4 into the original function F(x):
\(F(4) = 4^2 + 5(4) = 16 + 20 = 36.\)
Therefore, the point (4, 36) lies on the tangent line.
Using the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept, we can write the equation of the tangent line:
y = 13x + b.
To find b, we substitute the coordinates (x, y) = (4, 36) into the equation:
36 = 13(4) + b,
36 = 52 + b,
b = 36 - 52,
b = -16.
Therefore, the equation of the tangent line to the curve \(F(x) = x^2 + 5x\) at x = 4 is:
y = 13x - 16.
Thus, the correct answer is A. y = 13x - 16.
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if x=3 and y=5, what is 4x-2y
Answer:
2
Step-by-step explanation:
if x=3 and y=5, what is 4x-2y?
we replace x and y with the indicated values and solve4x - 2y =
4 × 3 - 2 × 5 = (remember PEMDAS)
12 - 10 =
2
1- Choose the correct answer :-
3) Between each two successive integers, there is .......
a) a unique rational number
b) one integer only
c) an infinite number of rational numbers
d) an infinite number of integers
Answer:
The answer is B I think...
PLEASE GIVE ME BRAINLIEST!!!
Which algebraic expression represents "p plus twice d"?
A. P – 2d
B. 2d – p
C. P + 2d
D. D – 2p
To represent "p plus twice d," we use the expression "p + 2d." (option c)
To represent "p plus twice d" as an algebraic expression, we need to break it down into mathematical terms.
The variable "p" represents a certain value, and the variable "d" represents another value. When we say "p plus twice d," we are adding the value of "p" to two times the value of "d." Mathematically, we can represent "twice d" as 2d.
Therefore, the algebraic expression "p plus twice d" can be written as "p + 2d." This expression accurately represents the addition of the values of "p" and "twice d."
So, when p equals 5 and d equals 3, the expression "p plus twice d" evaluates to 11.
C. P + 2d: This expression represents the correct algebraic expression for "p plus twice d."
Therefore, the correct algebraic expression for "p plus twice d" is option C: P + 2d.
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9
Liza has the following shirts in her closet.
• 3 red shirts
4 blue shirts
3 yellow shirts
1 purple shirt
• 1 black shirt
Liza will randomly choose one shirt. Then she will put it back and randomly choose another shirt. What is the probability that she
will choose a red shirt and then a yellow shirt?
Answer:
1/15
Step-by-step explanation:
A construction firm purchased 3 tractors from a certain company. At the end of 5th year, let El, E2, and E3 denote, respectively, the vents that tractors no. 1,2 , and 3 are still in good operational condition. Past experience indicates that the chance of a given tractor manufactured by this company having a useful life longer than 5 years is 60% (meaning each tractor has 60% chance to be in good condition after 5 years). If one tractor needs to be replaced (meaning it is not in good condition) at the end of 5th year, the probability of replacement for one of the other 2 tractors is 60%. If 2 tractors need to replaced, the probability of replacement of the remaining one is 80%. Calculate the probabilities of Events A,B, and C.
The probabilities of Events A, B, and C are 0.216, 0.432, and 0.288, respectively.
A construction firm purchased 3 tractors from a certain company. At the end of 5th year, let El, E2, and E3 denote, respectively, the vents that tractors no. 1,2 , and 3 are still in good operational condition.
The probability of a given tractor having a useful life longer than 5 years is 60% (i.e., each tractor has a 60% chance of being in good condition after 5 years).
If one tractor needs to be replaced (meaning it is not in good condition) at the end of the 5th year, the probability of replacement for one of the other two tractors is 60%.
If two tractors need to be replaced, the probability of replacement for the remaining one is 80%.
A: The probability of all three tractors still in good operational condition, i.e., E1, E2, and E3 after the 5th year, will be given by
P(E1∩E2∩E3)=(0.6)(0.6)(0.6)
=0.216
B: The probability of exactly one tractor needs to be replaced, say E1, and the remaining two are still in good operational condition, is
P(E1∩E2∩E3')+(E1∩E2'∩E3)+(E1'∩E2∩E3)=3(0.4)(0.6)(0.6)
=0.432
C: The probability that exactly two tractors need to be replaced, say E1 and E2, and the remaining one is still in good operational condition is
P(E1∩E2'∩E3')+(E1'∩E2∩E3')+(E1'∩E2'∩E3)=3(0.4)(0.4)(0.6)
=0.288
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can anyone solve this?
Answer:
3×0+1=1
Step-by-step explanation:
i hope that helps
#CarryonlearningComplete the right or left matrix of rotation about the point (0; 0) for 2D graphics in the homogeneous system (z = 1) (mark "R" or "L") /2p [cos a 1]
To complete the right or left matrix of rotation about the point (0, 0) for 2D graphics in the homogeneous system (z = 1), we use the following formulas:$$\textbf{Left Matrix of Rotation: } \begin{bmatrix} \cos \theta & \sin \theta & 0 \\ -\sin \theta & \cos \theta & 0 \\ 0 & 0 & 1 \end{bmatrix}$$$$\textbf{Right Matrix of Rotation: } \begin{bmatrix} \cos \theta & -\sin \theta & 0 \\ \sin \theta & \cos \theta & 0 \\ 0 & 0 & 1 \end{bmatrix}$$where $\theta$ is the angle of rotation.
The given matrix, we have $2p$ in the first row and $\cos a$ in the second row. Therefore, we can conclude that it represents a horizontal line segment of length $2p$ at a height of $\cos a$ above the $x$-axis. Now, we need to find the appropriate matrix for rotating this line segment about the point $(0, 0)$ by an angle of $\theta$.Since we want to know the matrix for the rotation of the line segment, we need to consider the effect of the rotation on the endpoints of the line segment.
The endpoints of the line segment can be represented in the homogeneous system as $(p, \cos a, 1)$ and $(-p, \cos a, 1)$.Left Matrix of Rotation:For the left matrix of rotation, we have:$$\begin{aligned}\begin{bmatrix} \cos \theta & \sin \theta & 0 \\ -\sin \theta & \cos \theta & 0 \\ 0 & 0 & 1 \end{bmatrix} \begin{bmatrix} p \\ \cos a \\ 1 \end{bmatrix} &= \begin{bmatrix} p\cos \theta + \sin \theta \cos a \\ -p \sin \theta + \cos \theta \cos a \\ 1 \end{bmatrix} \\ \begin{bmatrix} \cos \theta & \sin \theta & 0 \\ -\sin \theta & \cos \theta & 0 \\ 0 & 0 & 1 \end{bmatrix} \begin{bmatrix} -p \\ \cos a \\ 1 \end{bmatrix} &= \begin{bmatrix} -p\cos \theta + \sin \theta \cos a \\ p \sin \theta + \cos \theta \cos a \\ 1 \end{bmatrix}\end{aligned}$$Therefore, the left matrix of rotation is:$$\boxed{\begin{bmatrix} \cos \theta & \sin \theta & 0 \\ -\sin \theta & \cos \theta & 0 \\ 0 & 0 & 1 \end{bmatrix}}$$Right Matrix of Rotation.
For the right matrix of rotation, we have:$$\begin{aligned}\begin{bmatrix} \cos \theta & -\sin \theta & 0 \\ \sin \theta & \cos \theta & 0 \\ 0 & 0 & 1 \end{bmatrix} \begin{bmatrix} p \\ \cos a \\ 1 \end{bmatrix} &= \begin{bmatrix} p\cos \theta - \sin \theta \cos a \\ p \sin \theta + \cos \theta \cos a \\ 1 \end{bmatrix} \\ \begin{bmatrix} \cos \theta & -\sin \theta & 0 \\ \sin \theta & \cos \theta & 0 \\ 0 & 0 & 1 \end{bmatrix} \begin{bmatrix} -p \\ \cos a \\ 1 \end{bmatrix} &= \begin{bmatrix} -p\cos \theta - \sin \theta \cos a \\ -p \sin \theta + \cos \theta \cos a \\ 1 \end{bmatrix}\end{aligned}$$Therefore, the right matrix of rotation is:$$\boxed{\begin{bmatrix} \cos \theta & -\sin \theta & 0 \\ \sin \theta & \cos \theta & 0 \\ 0 & 0 & 1 \end{bmatrix}}$$Therefore, the left matrix of rotation is represented by the letter $\boxed{L}$ and the right matrix of rotation is represented by the letter $\boxed{R}$.
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You are the manager at the town pool. You need to build a fence around the new children's pool area. The pool is 5 feet wide by 8 feet long. You want the fence to be the same distance "x ft" from all sides of the pool, except you need to put a lifeguard chair at one end of the width, so the fence should be twice as far away from the pool on that one side. How many linear feet of fencing must you buy? (Use an algebraic approach to receive credit for your solution)
The length of the fence which needs to be put around the pool will be 26 feet.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
You are the manager of the town pool.
You need to build a fence around the new children's pool area.
The pool is 5 feet wide by 8 feet long.
You want the fence to be the same distance "x ft" from all sides of the pool, except you need to put a lifeguard chair at one end of the width, so the fence should be twice as far away from the pool on that one side.
Then the length of the fence which needs to be put around the pool will be
P = 2 (5 + 8)
P = 2 x 13
P = 26 ft
Then the length of the fence which needs to be put around the pool will be 26 feet.
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Solve for h:
2h-4x=-6y
Please provide steps also
Answer:
h = -3y + 2x
Step-by-step explanation:
Add 4x to both sides of the equation.
2h = −6y + 4x
Divide each term in 2h = −6y + 4x by 2 and simplify.
Divide each term in 2h = −6y + 4x by 2.
2h/2 = -6y/2 + 4x/2
Simplify the left side.
h = −6y/2 + 4x/2
Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.
h = -3y+2(2x)/2
Cancel the common factors.
Factor 2 out of 2.
h = -3y+2(2x)/2(1)
Cancel the common factor
h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1
Divide 2x by 1.
h = -3y + 2x
hopefully its right LOLZ
Please help I’ll give brainliest
Answer:
B
Step-by-step explanation: 6 21 9 45
49 × 17 + 49 × 3
49 × (17 + 3)
49 × 20
4. Which equations have 4 as a possible solution for p? Select all that apply.
A. p²= 8
B.p³= 8
c.p²= 16
D.p²= 64
E.p³=64
Answer:
A. p2=16
soln:
p=4×4=16
so,
p2=16
The mean exam score for 49 male high school students is 239 and the population standard deviation is 47 The mean exam score for 53 female high school students is 21.1 and the population standard deviation is 4.3. At α=001, can you reject the claim that male and female high school students ha equal exam scores? Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view. page 2 of the standard normal distribution table. A. Male high school students have lower exam scores than female students B. Male and temale high school students have different exam scores. C. Male and female high school students have equal exam scores D. Male high school students have greater exam scores than female students
Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.
To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:
SE = sqrt((s1^2 / n1) + (s2^2 / n2))
Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:
SE = sqrt((47^2 / 49) + (4.3^2 / 53))
Next, we calculate the t-statistic using the formula:
t = (x1 - x2) / SE
Where x1 and x2 are the sample means. Plugging in the values, we have:
t = (239 - 21.1) / SE
We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.
In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.
Therefore, the correct answer is:
B. Male and female high school students have different exam scores.
Learn more about hypothesis testing here: brainly.com/question/17099835
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At what point does the line given by the following equation cross the y-axis?
y = -2x + 3
The given line y = -2x + 3 will cross the y-axis at (0, 3).
Coordinate plane:A coordinate plane is a two-dimensional plane that consists x-axis and a y-axis. These are perpendicular to each other and will be intersected at the point called the origin.
The coordinates of the point that lies on the y-axis are (0, y), Similarly, the coordinates of the point that lies on the x-axis are (0, x).
Here we have
The equation of the line is y = -2x + 3
To find the required point take x = 0
=> y = -2(0) + 3
=> y = 0 + 3
=> y = 3
Therefore,
The given line y = -2x + 3 will cross the y-axis at (0, 3).
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the sophomore class is planning a picnic the cost of the permit to use the city park is $250 permit there is a fee of $.74 each sophomore and $ 1.25 for each guest was not a sophomore two hundred sophomore plan to attend . write and solve an inequality to find how many guests must attend for the sophomores to pay the permit.
The number of guests that must attend the picnic for the sophomores to pay for the permit is 82.
The sophomore class is planning a picnic. The cost of the permit to use a city park is $250. To pay for the permit, there is a fee of $.74 for each sophomore and $1.25 for each guest who is not a sophomore. A total of two hundred sophomores plan to attend the picnic. Let the number of guests who attend the picnic be "x". We can form an inequality to find the value of x.
0.74*200 + 1.25*x ≥ 250
148 + 1.25x ≥ 250
1.25x ≥ 102
x ≥ 81.6
Hence, the minimum number of guests is 82.
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If Jill and Erika charge $2.00 per quart, how much money will they make if they sell all of their lemonade?
Answer:
Number of quarts=16
Money earned=$32
Step-by-step explanation:
Given
4 Gallons of lemonade is prepared
They charge $2 for a quart
1 Gallon= 4 Quarts
Therefore Number of quarts
Therefore Number of quarts of lemonade prepared by them = 16 quarts
As they charge $2 for each quart
⇒
Total money made if they sell it all
Therefore, if they are to sell all the lemonade that they prepared
They would earn=$32
Step-by-step explanation:
https://brainly.com/question/13881728
h(x) = x2 + 1 k(x) = x – 2
Answer:
2(x)
Step-by-step explanation:
Answer:
H
(
x
)
=
x
2
+
1
k
(
x
)
=
x
−
2
Step-by-step explanation: