5·5·5 … · 5 (25 times) Write the product as a power
Answers
Answer:
5²⁵
Step-by-step explanation:
Related Questions
HELPPPPPPPPPPPP - ILL MARK YOU BRAINIEST !
Answers
dependent- total cost of lettuce bought
equation: f(x)= 1.69x
6(7s+9) simplified. Please include how you solved it!
Answers
Explanation: (6)(7s+9) you break it up and do
(6)(7s)+(6)(9) which gets you the answer.
How many solutions does the following equation have?
4(y - 30) = 4y + 12
Choose 1 answer:
A no solutions b exactly one solution c infinitely many solutions
Answers
Answer:
no solutions
Step-by-step explanation:
Let f(x)=7 x+5 and g(x)=x². Perform each function operation and then find the domain of the result.
(g-f)(x)
Answers
Function operations are the rules we use to solve functions. There is a specific way to deal with function addition, multiplication, and division.
-x² + 7x + 5 is the domain of all real numbers.
What is meant by function operation?Function operations are the rules we use to solve functions. There is a specific way to deal with function addition, multiplication, and division.
Let the two functions be f and g then f(x) = 7x + 5 and g(x) = x².
we have to calculate (g - f)(x)
Which is equivalent to:
(g - f)(x) = g(x) - f(x)
Taking the two functions and substituting them into this expression, we get,
g(x) - f(x) = (7x + 5) - (x²)
simplifying the above function, we get
g(x) - f(x) = -x² + 7x + 5
Therefore, (g - f)(x) = -x² + 7x + 5.
We must also determine the domain of the new function. However, because this is a second-order function with no denominators, logarithms, or roots, there are no restrictions on the value of x; thus, the domain is all real numbers.
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Make q the subject and give the answer in (ap-b)/c where abc are all positive integers
Answers
Answer:
\(q = \frac{2p - 1}{3} \)
Arthur has x pennies. His father gave him 6 dimes, and his mother gave him 4 nickels. Which expression represents the number of coins Arthur has now?
a) x+80
b) x+10
c) 6x+4
d) 4x+6
Answers
The expression x + 80 represents the number of coins Arthur has now, since he x pennies and an additional 6 dimes and 4 nickels.
How to calculate for the number of coinsWe shall convert the pennies, dimes and nickels into same unit before adding to get the expression for the number of coins Arthur will have in total.
A penny = 1 cent, so
x pennies = x cents
A dime = 10 cents so;
6 dimes = 6 × 10cents
6 dimes = 60 cents
A nickel = 5 cents so;
4 nickels = 4 × 5 cents
4 nickels = 20 cents
Arthur's coins in total = (x + 60 + 40) cents
Arthur's coins in total = (x + 80) cents.
Therefore, the expression expression x + 80 represents the number of coins Arthur will have in total, wether in pennies, dimes or nickels.
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In a fish tank, there are 28 goldfish, 3 angelfish, and 17 guppies. If a fish is selected at random, find the probability that it is an angelfish or a guppy. Group of answer choices
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There are 28 goldfish, 3 angelfish, and 17 guppies in a fish tank. If a fish is chosen randomly, the probability that it is an angelfish or a guppy is 0.49.
In order to find the probability that a fish selected at random is an angelfish or a guppy, we need to add the probabilities of choosing an angelfish and a guppy.
P(choosing an angelfish) = 3/48 = 1/16
P(choosing a guppy) = 17/48
The probability of selecting an angelfish or a guppy can be expressed as follows:
P(choosing an angelfish or a guppy) = P(choosing an angelfish) + P(choosing a guppy)
P(choosing an angelfish or a guppy) = 3/48 + 17/48 = 20/48
Simplifying 20/48 gives 5/12 as the answer, which is equivalent to 0.49 as a decimal.
Therefore, the probability that a fish selected at random is an angelfish or a guppy is 0.49.
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Consider the function where xy U = for (x, y) = (0,0), x² + y² and v= = 0 for all x and y. X 2.1 Show that all partial derivatives of u and v exist at (x, y) = (0, 0), and thus satisfy the Cauchy- Riemann equations. (5) 2.2 Show that is not continuous at (0,0), and hence f is not differentiable at (0, 0). U (5) 2.3 Investigate whether f is analytic or not. (5) 2.4 Investigate whether f has a harmonic complex conjugate or not. (5) 2.5 Show that the function f (x, y) = x² - y² —y is harmonic and determine its harmonic conjugate. - f = u + iv,
Answers
2.1 To show that all partial derivatives of u and v exist at (x, y) = (0, 0) and satisfy the Cauchy-Riemann equations, we need to calculate the partial derivatives of u and v and check their existence and the Cauchy-Riemann conditions.
The function is given as u(x, y) = xy and v(x, y) = x² + y².
Partial derivatives of u:
∂u/∂x = y
∂u/∂y = x
Partial derivatives of v:
∂v/∂x = 2x
∂v/∂y = 2y
All partial derivatives exist at (x, y) = (0, 0) since they are simple functions and do not have any singularities.
Now, let's check if the Cauchy-Riemann equations are satisfied:
∂u/∂x = ∂v/∂y
y = 2y
This equation holds true for all values of y, including y = 0.
∂u/∂y = -∂v/∂x
x = -2x
This equation also holds true for all values of x, including x = 0.
Therefore, all partial derivatives of u and v exist at (x, y) = (0, 0), and they satisfy the Cauchy-Riemann equations.
2.2 To show that f is not continuous at (0, 0) and hence not differentiable at (0, 0), we can examine the behavior of f as (x, y) approaches (0, 0).
The function f(x, y) = u(x, y) + iv(x, y) = xy + i(x² + y²)
As (x, y) approaches (0, 0), both u(x, y) = xy and v(x, y) = x² + y² approach 0. However, f(x, y) = xy + i(x² + y²) approaches 0 + i(0) = i(0) = 0i = 0, which is a different value.
Therefore, f is not continuous at (0, 0), and hence it is not differentiable at (0, 0).
2.3 To investigate whether f is analytic or not, we need to check if it is differentiable in a neighborhood around every point.
Since we have already shown that f is not differentiable at (0, 0), it implies that f is not analytic because differentiability is a necessary condition for analyticity.
2.4 To investigate whether f has a harmonic complex conjugate or not, we need to check if u and v satisfy the Laplace's equation (∇²u = 0 and ∇²v = 0) and if they satisfy the Cauchy-Riemann equations.
The Laplace's equation is not satisfied by u(x, y) = xy because ∇²u = ∂²u/∂x² + ∂²u/∂y² = 0 + 0 ≠ 0.
Therefore, f does not have a harmonic complex conjugate.
2.5 To show that the function f(x, y) = x² - y² - iy is harmonic, we need to demonstrate that it satisfies the Laplace's equation (∇²u = 0 and ∇²v = 0).
For u(x, y) = x² - y², we have ∇²u = ∂²u/∂x² + ∂²u/∂y² = 2 - 2 = 0.
For v(x, y) = -y, we have ∇²v = ∂²v/∂x² + ∂²v/∂y² = 0 + 0 = 0.
Both u and v satisfy the Laplace's equation, indicating that f(x, y) = x² - y² - iy is a harmonic function.
To determine the harmonic conjugate of f, we can integrate the partial derivative of v with respect to x and y, and obtain the imaginary part of the function:
h(x, y) = ∫ (∂v/∂y) dy = ∫ 0 dy = C(y)
Where C(y) is an arbitrary function of y.
The harmonic conjugate of f is given by:
g(x, y) = u(x, y) + ih(x, y) = x² - y² + iC(y)
Therefore, the harmonic conjugate of f(x, y) = x² - y² - iy is g(x, y) = x² - y² + iC(y), where C(y) is an arbitrary function of y.
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To show that all partial derivatives of u and v exist at (x, y) = (0, 0) and satisfy the Cauchy-Riemann equations, we need to calculate the partial derivatives of u and v and check their existence and the Cauchy-Riemann conditions.
The function is given as u(x, y) = xy and v(x, y) = x² + y².
Partial derivatives of u:
∂u/∂x = y
∂u/∂y = x
Partial derivatives of v:
∂v/∂x = 2x
∂v/∂y = 2y
All partial derivatives exist at (x, y) = (0, 0) since they are simple functions and do not have any singularities.
Now, let's check if the Cauchy-Riemann equations are satisfied:
∂u/∂x = ∂v/∂y
y = 2y
This equation holds true for all values of y, including y = 0.
∂u/∂y = -∂v/∂x
x = -2x
This equation also holds true for all values of x, including x = 0.
Therefore, all partial derivatives of u and v exist at (x, y) = (0, 0), and they satisfy the Cauchy-Riemann equations.
2.2 To show that f is not continuous at (0, 0) and hence not differentiable at (0, 0), we can examine the behavior of f as (x, y) approaches (0, 0).
The function f(x, y) = u(x, y) + iv(x, y) = xy + i(x² + y²)
As (x, y) approaches (0, 0), both u(x, y) = xy and v(x, y) = x² + y² approach 0. However, f(x, y) = xy + i(x² + y²) approaches 0 + i(0) = i(0) = 0i = 0, which is a different value.
Therefore, f is not continuous at (0, 0), and hence it is not differentiable at (0, 0).
2.3 To investigate whether f is analytic or not, we need to check if it is differentiable in a neighborhood around every point.
Since we have already shown that f is not differentiable at (0, 0), it implies that f is not analytic because differentiability is a necessary condition for analyticity.
2.4 To investigate whether f has a harmonic complex conjugate or not, we need to check if u and v satisfy the Laplace's equation (∇²u = 0 and ∇²v = 0) and if they satisfy the Cauchy-Riemann equations.
The Laplace's equation is not satisfied by u(x, y) = xy because ∇²u = ∂²u/∂x² + ∂²u/∂y² = 0 + 0 ≠ 0.
Therefore, f does not have a harmonic complex conjugate.
2.5 To show that the function f(x, y) = x² - y² - iy is harmonic, we need to demonstrate that it satisfies the Laplace's equation (∇²u = 0 and ∇²v = 0).
For u(x, y) = x² - y², we have ∇²u = ∂²u/∂x² + ∂²u/∂y² = 2 - 2 = 0.
For v(x, y) = -y, we have ∇²v = ∂²v/∂x² + ∂²v/∂y² = 0 + 0 = 0.
Both u and v satisfy the Laplace's equation, indicating that f(x, y) = x² - y² - iy is a harmonic function.
To determine the harmonic conjugate of f, we can integrate the partial derivative of v with respect to x and y, and obtain the imaginary part of the function:
h(x, y) = ∫ (∂v/∂y) dy = ∫ 0 dy = C(y)
Where C(y) is an arbitrary function of y.
The harmonic conjugate of f is given by:
g(x, y) = u(x, y) + ih(x, y) = x² - y² + iC(y)
Therefore, the harmonic conjugate of f(x, y) = x² - y² - iy is g(x, y) = x² - y² + iC(y), where C(y) is an arbitrary function of y.
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If each xi has a gaussian (normal) distribution, how many samples k would we need to guarantee mk(x) is between 67 and 73 with probability 0. 925? note that your answer must be an integer
Answers
Assuming you have access to the standard deviation (σk), you can substitute its value into the equation along with the given Z-score and desired width to determine the minimum required sample size (k) that guarantees the desired probability.
To determine the number of samples required, we can utilize the properties of the Gaussian distribution and the concept of confidence intervals. Given that mk(x) follows a Gaussian distribution, we can express it as:
mk(x) ~ N(μk, σk^2)
where μk represents the mean and σk^2 represents the variance of the distribution.
To ensure that mk(x) falls between 67 and 73 with a probability of 0.925, we need to find the appropriate confidence interval.
The Z-score corresponding to a 92.5% probability is approximately 1.96 (for a two-tailed test). The Z-score represents the number of standard deviations from the mean.
The width of the confidence interval can be calculated using the following formula:
Width = 2 * Z-score * (σk / sqrt(k))
Here, k represents the number of samples.
Since the Z-score and desired width are given, we can rearrange the formula to solve for k:
k = (2 * Z-score * σk / Width)^2
Plugging in the values, we have:
k = (2 * 1.96 * σk / (73 - 67))^2
Now, it's worth noting that the value of σk (the variance) is not provided in the question. Consequently, without knowing the specific distribution parameters or further details about the data, we cannot calculate an exact value for k.
However, assuming you have access to the standard deviation (σk), you can substitute its value into the equation along with the given Z-score and desired width to determine the minimum required sample size (k) that guarantees the desired probability.
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Solve the following system using the substitution method. Enter your answer as an ordered pair in the form (x, y)(x,y).
\def\arraystretch{2} \begin{alignedat}{1}3 x-2 y&=4\\5 x+10 y&=-60\end{alignedat}
3x−2y
5x+10y
=4
=−60
Answers
The value of ordered pair of (x,y) is (-2, -3)
How to solve the equation by substitution method ?x - 5y = 13
4x - 3y = 1
Solve the equation for x
x - 5y = 13
Move '5y' to R.H.S and change it's sign
x=13+5y
Substitute the given value of X into the equation
4x - 3y = 1
4(13+5y)-3y = 1
Solve the equation for y
distribute 4 through the parentheses
52+20y -3y =1
Collect like terms
52+17y = 1
Move constant to R.H.S and change it's sign
17y = 1 - 52
Calculate
17y = - 51
Divide both sides of the equation by 17
17y/17 = -51/17
Calculate
y = -3
Now, substitute the given value of y into the equation
x = 13 + 5y
x= =13+5x(-3)
Solve the equation for x
Multiply the numbers
= 13 - 15
Calculate the difference
= -2
The possible solution of the system is the ordered pair
( x , y )
( x , y ) = ( - 2 , - 3 )
-----------------------------------------------------------------------
Check if the given ordered pair is the solution of the system of equation
-2-5×(-3)=15
4×(-2)-3×(-3)=1
Simplify the equalities
13 = 13
1=1
Since all of the equalities are true, the ordered pair is the solution of the system
( x , y ) = ( - 2 , - 3 )
Therefore the value of ordered pair of (x,y) is (-2, -3)
The complete question is : Solve the system by substitution. x−5y=13 4x−3y=1 Enter your answer as an ordered pair (x,y).
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Which method would you choose to solve the following system?
-5x + 2y = 15
y = - 3x - 20
Equal Values Method
O Substitution Method
O Graphing Method
Elimination Method
Answers
Answer: combining like terms
Step-by-step explanation:
What is the mcvst or mcvsd admission test like? (for anyone who lives in nj) one more thing any practice admission tests (free practice tests)?
Answers
The MCVST or MCVSD admission test is an entrance exam for students who live in New Jersey and are seeking admission to the Morris County Vocational School District. This test is designed to assess the academic abilities and potential of students.
The MCVST admission test typically includes sections in math, reading comprehension, and language skills. The math section assesses the student's understanding of mathematical concepts and problem-solving skills. The reading comprehension section evaluates the student's ability to understand and analyze written passages. The language skills section tests the student's knowledge of grammar, vocabulary, and sentence structure.
To prepare for the MCVST admission test, there are several practice tests available online. Some websites offer free practice tests specifically designed for this exam. You can search for these practice tests by using keywords like "free MCVST admission test practice" or "MCVSD practice tests."
Remember to utilize these practice tests to familiarize yourself with the types of questions and format of the MCVST admission test. This will help you feel more confident and prepared on test day.
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how many 5-permutations are there of 11 distinct objects?
Answers
There are 55,440 possible 5-permutations of 11 distinct objects.
There are 55 5-permutations of 11 distinct objects.
To find the number of 5-permutations of 11 distinct objects, you need to use the formula for permutations, which is n!/(n-r)!, where n represents the total number of objects and r represents the number of objects to be arranged.
In this case, n = 11 (total number of distinct objects) and r = 5 (number of objects to be arranged).
Calculate (n-r)!
(11-5)! = 6!
Calculate 6!
6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
Calculate n!
11! = 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 39,916,800
Divide n! by (n-r)!
39,916,800 ÷ 720 = 55,440
So, there are 55,440 possible 5-permutations of 11 distinct objects.
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Point M is the midpoint of line segment CD,
shown below.
What are the coordinates of point M?
C (6,10)
M
D (20, 18)
Answers
Answer:
M(13, 14)-------------------------
Each coordinate of the midpoint is the average of endpoints:
x = (6 + 20)/2 = 26/2 = 13y = (10 + 18)/2 = 28/2 = 14Therefore M is (13, 14).
15 For a school project, Leo is making a model of the Statue of Liberty. He is using a scale of2 cm : 3 m. The Statue of Liberty is 93 meters tall. How tall is Leo's model?
Answers
SOLUTION
Leo is making a statue. He wants to use 2cm to represent 3m for the statue because it will be difficult making a whole of 93 meters. So to minimize the stress and cost, he dicided to use 2cm for each 3m of the statue of liberty.
Now to find how tall Leo's statue would be, we simply compare the ratios.
That is the measurement of the statue to that of Leo's
\(\frac{93\text{ m}}{3\text{ m }}\text{ = }\frac{x}{2\operatorname{cm}}\)This will help you to determine Leo's statue. Ratio for the staue = Ratio for that of Leo's measurement
\(\begin{gathered} \frac{93\text{ m}}{3\text{ m }}\text{ = }\frac{x}{2\operatorname{cm}} \\ \text{cross multiplying } \\ 3x\text{ = 93}\times2 \\ 3x\text{ = 186 } \\ x\text{ = }\frac{186}{3} \\ \\ x\text{ = 62 cm} \end{gathered}\)Therefore Leo's model would be 62 cm tall
Look above☝ Use the figure on the left
Answers
Answer:
you know that de=ef because if you were to fold that circle in half then they would both line up or if you were to measure it they would be the same measurement. you could say something like that. that's what i would say.
Step-by-step explanation:
Jane moved from a house with 66 square feet of closet space to an apartment with 37.62 square feet of closet space. What is the percentage decrease of Jane's closet space?
Answers
Answer:
Step-by-step explanation:
Without dividing, determine the sign of the quotient:
(-0.00052) ÷ (-50000.00106)
a
The result is positive because a negative number divided by a negative number is positive.
b
The result is negative because the second number is negative.
c
The result is negative because at least one of the numbers is negative.
d
The result is negative because a negative number divided by a negative number is negative.
help fast
Answers
Answer:
Option A
Step-by-step explanation:
If you divide a negative number by a negative number, the answer will always be positive, so A must be the right answer
Find all subsets of {{a},{a,b},{ϕ}}.
Answers
ϕ (empty set)
{a}
{a, b}
{{a}}
{{a, b}}
{ϕ}
{{a}, {a, b}}
{{a}, ϕ}
{{a, b}, ϕ}
{{a}, {a, b}, ϕ}
To find all subsets of the set {{a}, {a, b}, ϕ}, we can consider all possible combinations of including or excluding each element from the set. Here are the subsets:
ϕ (empty set)
{a}
{a, b}
{{a}}
{{a, b}}
{ϕ}
{{a}, {a, b}}
{{a}, ϕ}
{{a, b}, ϕ}
{{a}, {a, b}, ϕ}
Note that the order of the subsets does not matter, and the subsets can be listed in any order. The total number of subsets is 2^3 = 8, including the empty set and the set itself.
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Integrate the ODE
dy/dx = x² √y, 0 < x < 2, y(0) = 1
using Euler's method (Δx = 0, 2) to compute y(2). Obtain analytical solution to the ODE and compare y(2) obtained using Euler's method with that obtained analytically.
Answers
we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.
Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:
Step 1: For x = 0, y = 1 (initial condition).
Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.
Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.
Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.
Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.
Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.
Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.
Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.
Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.
Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.
Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.
Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.
To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:
∫(1/√y) dy = ∫x² dx
Integrating both sides gives:
2√y = (1/3)x³ + C
Solving for y:
y = (1/4)(x³ + C)²
Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:
1 = (1/4)(0³ + C)²
1 = (1/4)C²
4 = C²
C = ±2
Since C can be either 2 or -2, the general solution to the ODE is:
y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²
Now, let's evaluate y(2) using the analytical solution:
y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5
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Solve the system ⎩⎨⎧4x1−x13x12x1−3x2+x2−2x2−2x2+2x3+3x3+5x3−6x3+4x4=+2x4=+6x4=−4x4=213−2 ⎣⎡x1x2x3x4⎦⎤=[]+s[]+t[]
Answers
The solution is [x1, x2, x3, x4] = [2/3, -2/3, 21/4, -2/3] + s[1, 0, 0, 0] + t[0, 0, 0, 1]. To solve the given system of equations:
4x1 - x1 = 2
3x1 + 2x1 = 6
-3x2 + x2 - 2x2 - 2x2 = 4
2x3 + 3x3 + 5x3 - 6x3 = 21
3x4 = -2
Simplifying each equation, we get:
3x1 = 2
5x1 = 6
-6x2 = 4
4x3 = 21
3x4 = -2
Solving each equation, we find:
x1 = 2/3
x2 = -2/3
x3 = 21/4
x4 = -2/3
Therefore, the solution to the system is:
[x1, x2, x3, x4] = [2/3, -2/3, 21/4, -2/3] + s[1, 0, 0, 0] + t[0, 0, 0, 1]
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What is the area of this figure?
Enter your answer in the box.
mm²
Composite figure composed of a a right triangle with a base of 3 mm and a height of 4 mm, and two rectangles, one with side lengths of 3mm and 4mm, the other with side lengths of 1 mm and 6 mm.
Answers
Answer:
18 mm²
Step-by-step explanation:
Firstly, I do not think the person above me has the correct answer.
Okay, so I am not very good at explaining things but I will try. When finding the area of a composite figure, you add Area A + Area B.
So for this equation, figure one has a length of 4mm and a width of 3mm. Remember when we are finding the area of a shape, we multiply Length times Width. So, figure one has an area of twelve. The Same applies to figure two. Figure two has a length of 1mm and a width of 6mm, we multiply one by six and get six. Now we add the area of the twelve and six and we get 18mm²
I understand that my explaining skills suck, so I will show it in an easier way
Area A = 4mm x 3mm
Area A = 12mm
Area B = 1mm x 6mm
Area B = 6mm
Area A + Area B = Total Area
12mm + 6mm = 18mm²
So, 18mm² will be your answer.
I hope this helps.
Sorry if it isn't helpful or correct.
The total area of the composed figure with right triangle and two rectangles is 24 square millimeters.
What is Area of Rectangle?The area of Rectangle is length times of width.
Composite figure has a right triangle and two rectangles.
right triangle with a base of 3 mm and a height of 4 mm
Area of triangle = 1/2×4×3
=6 square millimeter
Area of first rectangle with side lengths of 3mm and 4mm
Area of first rectangle = 3 × 4
= 12 square millimeter
Area of second rectangle with side lengths of 1mm and 6 mm
Area of second rectangle =1×6
=6 square millimeter
Total area is 6+12+6 which 24 square millimeters.
Hence, the total area of the composed figure with right triangle and two rectangles is 24 square millimeters.
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Solve for x using the
distributive property.
3(6 + x) = 24
X =
[?]
Answers
Answer:
x=2
Step-by-step explanation:
First, find what (6+x) must be. Since 3 * 8 would equal 24, (6+x) must equal 8. Next, simply subtract 6 from 8 and you end up with 2.
Hope this helps!
write 10 rational numbers between -1/3 and 1/3
Answers
Step-by-step explanation:
-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4
i’m confused with this question
Answers
Answer:
B and C
Step-by-step explanation:
Answer: The answer to this question is "A.)" due to the fact of the equation is the same on both sides of the equal sign.
Step-by-step explanation:
Infinite solutions would mean that any value for the variable would make the equation true. So, therefore, -76x + 76 = -76x +76 , is the correct answer.
i dont know
what to do here and its due by the end of class
Answers
Answer:
ur screwed but the answer is 110.88
Step-by-step explanation:
:)
A group of volunteers for a clinical trial consists of 83 women and 78 men. 21 of the women and 20 of the men have high blood pressure. If one of the volunteers is selected at random, find the probability that the person is a man given that they have high blood pressure.
a. 0.512
b. 0.255
c. 0.124
d. 0.488
e. 0.256
Answers
Therefore, the probability that a person selected at random is a man given that they have high blood pressure is 0.488. Option d.
To find the probability that the person is a man given that they have high blood pressure, we need to use conditional probability.
Let A be the event that the person selected has high blood pressure, and B be the event that the person selected is a man. We want to find P(B|A), the probability that the person is a man given that they have high blood pressure.
Using the formula for conditional probability, we have:
P(B|A) = P(A and B) / P(A)
We know that 20 of the men have high blood pressure, so P(A and B) = 20/161. We also know that a total of 41 people (21 women and 20 men) have high blood pressure, so P(A) = 41/161.
Plugging these values into the formula, we get:
P(B|A) = (20/161) / (41/161) = 20/41 ≈ 0.488
Therefore, the probability that a person selected at random is a man given that they have high blood pressure is 20/41, which is approximately 0.488. So, the answer is (d) 0.488.
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there are 15 equations and 15 unknowns. what are those 15 equations and 15 unknowns. list them all. explain the purpose of each set of equations. explain how they are derived. g
Answers
The 15 equations and 15 unknowns are part of a system of linear equations. These equations can be used to find the values of the 15 unknowns. The purpose of each set of equations is to determine the unknowns in the system. The equations are derived using algebraic methods such as substitution, elimination, and graphing.
The 15 equations are:
1. x + y = 15
2. x - y = 5
3. 2x + 4y = 60
4. x + 2y = 30
5. 3x + y = 45
6. 3x - y = 35
7. x + 4y = 40
8. 4x + y = 55
9. x - 4y = 5
10. 2x - y = 15
11. 3x - 2y = 20
12. 5x + y = 55
13. x - 5y = -5
14. 2x + 5y = 55
15. 4x - 3y = 25
The 15 unknowns are:
1. x
2. y
3. x + y
4. x - y
5. 2x + 4y
6. x + 2y
7. 3x + y
8. 3x - y
9. x + 4y
10. 4x + y
11. x - 4y
12. 2x - y
13. 3x - 2y
14. 5x + y
15. x - 5y
Each equation is derived using algebraic methods such as substitution, elimination, and graphing. By substituting the known values into the equations, the unknowns can be determined. Elimination is used to get rid of terms from the equations, making it easier to solve for the unknowns. Graphing is used to plot out the equations and to help visualize the relationships between the unknowns and the equations.
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A 8-kg block is set moving with an initial speed of 6 m/s on a rough horizontal surface. If the force of friction is 12 n, approximately how far does the block travel before it stops?.
Answers
The block will cover the distance 12m before it stops.
Newton's second law of motion:According to Newton's second law of motion, the acceleration a
of a body of mass m is determined by the net force \(F_n_e_t\) acting on it:
\(F_n_e_t\) = ma.
The mass of a block, m = 8 kg
The initial speed of the block on rough horizontal surface , u = 6 m/s
The force of friction, F = 12N
We know that, the Newton's 2nd law: \(F_n_e_t\) = ma.
Therefore, its final velocity is zero, v = 0
Since the only force that is acting on the body along the horizontal direction is the kinetic frictional force
\(F_n_e_t\) = ma. (\(F_n_e_t\) is acting in opposite direction to that of object motion)
a = \(\frac{f_n_e_t}{m}\) = \(\frac{-12}{8} = -1.5m/s^2\)
Negative sign shows that it is in the opposite direction to that of initial velocity.
By using the third kinematic equation, we get:
\(v^2=u^2+2as\\\\= > s = \frac{0-6^2}{2(-1.5)}\\ \\s = \frac{36}{3} = 12m\)
Therefore, the block will cover the distance 12m before it stops.
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A medical devices company wants to know the number of hours its MRI machines are used per day. A previous study found a standard deviation of six hours. How many MRI machines must the company find data for in order to have a margin of error of at most 0.70 hour when calculating a 98% confidence interval
Answers
The company must find data for at least 405 MRI machines in order to have a margin of error of at most 0.70 hour when calculating a 98% confidence interval.
To calculate the required number of MRI machines for a margin of error of at most 0.70 hours with a 98% confidence interval, we need to use the formula for sample size determination.
The formula for sample size determination with a given margin of error (E), standard deviation (σ), and confidence level (Z) is:
n = (Z² × σ²) / E²
In this case, the standard deviation (σ) is given as 6 hours.
The margin of error (E) is 0.70 hours.
The confidence level (Z) for a 98% confidence interval is 2.33 (obtained from a standard normal distribution table).
Substituting these values into the formula, we have:
n = (2.33² × 6²) / 0.70²
Simplifying the equation:
n = (5.4289 × 36) / 0.49
n = 198.5184 / 0.49
n ≈ 404.88
Therefore, the company must find data for at least 405 MRI machines in order to have a margin of error of at most 0.70 hour when calculating a 98% confidence interval.
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