Answer: It is just 4
Step-by-step explanation: That means the absolute value of 4 and it is just 4
What is the area of the polygon given below?
A. 55 square units
B. 186 square units
C. 131 square units
D. 66 square units
Answer:
○ B. \(\displaystyle 186\:square\:units\)
Explanation:
All edges conjoin to form right angles, therefore you have these:
\(\displaystyle \boxed{186} \hookrightarrow 121 + 30 + 35 \Rightarrow 11^2 + 5 \times 6 + 5 \times 7\)
OR
\(\displaystyle \boxed{186} \hookrightarrow 120 + 66 \Rightarrow 24 \times 5 + 6 \times 11\)
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What is the factored form of x2 − 4x − 5? (x + 5)(x − 1) (x + 5)(x + 1) (x − 5)(x − 1) (x − 5)(x + 1)
a) Find the value of 2x + y when x = 4 and y = 3
Answer:
11
Step-by-step explanation:
x = 4
2x
= 2 * 4
= 8
y = 3
2x + y
= 8 + 3
= 11
Solve sin
Give your answer accurate to two decimal places.
x=
Answer:0.68251895
Step-by-step explanation:
Sin (x-y)= Sinxcosy-CosxSiny
Sin(-4x)
-Sin4x=-0.4
Sin4x=0.4
Take the inverse sine of both sides of the equation to extract
x
from inside the sine.
4
x
=
(
0.4
)
Simplify 4x=0.41151684
Divide each term in
4x=0.41151684 by 4
and simplify.
x=0.10287921
The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from
π
to find the solution in the second quadrant.
4x= 3.14159265
0.41151684
Solve x
0.68251895
what is the angle of elevation of the sun when a 44ft mast casts a 14ft shadow?
help please it's due tomorrow
\( \{ \: \alpha \: , \: \beta , \: a, \: b \}\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{n} \)
where, n denotes to number of elements in set .
Since, given set contains 4 elements .
Thus , 2⁴ {2 raise to power 4} .
\( \sf \longrightarrow \: No. \: of \: \: subsets = {2}^{4} \)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 2 \times 2 \times 2 \times 2\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 4 \times 4\)
\( \sf \longrightarrow \: No. \: of \: \: subsets = 16\)
Therefore, Required subsets are 16.
They are , Namely;
\( \sf \longrightarrow \: subsets \: = \phi \: \{ \alpha \} \{ \beta \} \{ a\} \{ b\} \: \{ \alpha \beta \} \{ \alpha a\} \{ \alpha b\} \{ \beta a\} \{ \beta b\} \: .....\)
_____________________________
Additional Information:-If n is the number of elements in the set then,
No. of subsets possible for this subset is 2^n that's the (2 raise to the power n).
Let's take another example, {1,2}
Here, n = 2
subsets =2^2 =4
Subsets = ϕ, {1}, {2},{1,2}
Note :- every set is a subset of itself i.e. {1,2} and ϕ is a subset of every set
Tania has a roll of cloth that is
52.5
52.5 feet long. She uses the cloth to make scarves that are each
3.75
3.75 feet long. How many scarves can Tania make?
Answer:
Tania can make 14 scarves.
Step-by-step explanation:
You get this answer by dividing 52.5 by 3.75.
Solve for d in terms of r
Hello!
Answer:
d=2r
Step-by-step explanation:
Simplify both sides and isolate the variable.
Hope this helps!
Answer: D = 2r
Step-by-step explanation:
Which of the following expressions could be interpreted as "a number times negative seven added to five equals two"?
5-7 x = 2
5 + 7 x = 2
O-7X-5 = 2
OX-7+5 = 2
TURN IT IN
SUBMIT ANSWER
© ASK FOR HELP
Answer:
5-7 x = 2
Step-by-step explanation:
a number times negative seven added to five equals two
"a number times negative seven added to five equals two" is represented by expression 5-7x=2
What is Expression?An expression is combination of variables, numbers and operators.
The given sentence is "a number times negative seven added to five equals two"
Here let us consider the unknown number to be x.
As in the sentence we have a number times negative seven.
Times in the sentence means product. So the number x is multiplied with -7. i.e is -7x
Now a number times negative seven added to five.
This means 5 is added to -7x
-7x+5
"a number times negative seven added to five equals two" means -7x+5 is equal to two
-7x+5=2
5-7x=2
Hence the "a number times negative seven added to five equals two" is represented by expression 5-7x=2
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18) What is the slope of the line that contains points (–6, –6) and (–3, 1)?
The slope of the line is 7/9
How to determine the slope of the lineIt is important to note that the equation of a line is represented as;
y = mx + c
Where;
y is a point on the linem is the slope of the linex is a point on the x - axisc is the intercept of the y-axisThe formula for calculating the slope of a line is expressed as;
Slope, m = y₂ - y₁/x₂ - x₁
Now, let's substitute the values into the formula from the points given we have;
Slope, m =1 -(-6)/ -3 - (-6)
expand the bracket
Slope, m = 1 + 6/ 3 + 6
add the values
Slope, m = 7/9
Hence, the value is 7/9
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Which point on the graph represents carrying capacity when
full?
А
В
С
y - ( -3y ) what is the answer????
Answer:
4y
Step-by-step explanation:
y - -3y
Subtracting a negative is like adding
y+3y
Combine like terms
4y
Answer:
\(4y\)
Step-by-step explanation:
\(y - ( - 3y) \\ y + 3y \\ = 4y\)
hope this helps
brainliest appreciated
good luck! have a nice day!
a rectangular feild 70m long and 50m wide has a path of uniform width around it if the area of the path is 104m² find the width of the path
The 70 meters by 50 meters rectangular field having a path with an area of 104 m² around it indicates that the width of the path, found using the quadratic formula is about 0.43 meters.
What is the quadratic formula?The quadratic formula is a formula that is used to find the values of x that are the solutions to the the the quadratic equation of the form, a·x² + b·x + c = 0.
The length of the rectangular field = 70 meters
The width of the rectangular field = 50 meters
The width of the path around the field = Uniform width
Area of the path around the field = 104 m²
Let x represent the width of the path, we get;
(70 + 2·x) × (50 + 2·x) - 70 × 50 = 104
4·x² + 240·x = 104
4·x² + 240·x - 104 = 0
The quadratic formula which can be used to find the value of x in the equation a·x² + b·x + c = 0, is presented as follows;
\(x = \dfrac{-b\pm \sqrt{b^2-4\cdot a \cdot c} }{2\cdot a}\)
Comparing the equation 4·x² + 240·x - 104 = 0 to the quadratic equation for the quadratic formula; a·x² + b·x + c = 0, we get;
a = 4, b = 240, c = -104
Therefore;
\(x = \dfrac{-240\pm \sqrt{240^2-4\times 4 \times (-104)} }{2\times 4}\)
x ≈ 0.430 or x ≈ -60.4
The possible value of the width of the path is x ≈ 0.43 metersLearn more about the quadratic formula here:
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4.
Find the value of y when x = 2.
y = 3x + 2
XON
Y
2
2
a) 2
b) 6
c) 7
d) 8
Graph the line that has a slope of 4/3 and contains the point (0,-4)?
Please I need help fast
Answer:
It's attached
Step-by-step explanation:
y=4/3x-4
is the equation for the line
So you just plot the line.
The equation for the given slope and point is y = 4x/3 - 4
What is slope?The slope of a line is a number that describes both the direction and the steepness of the line.
Given that, a line that has a slope of 4/3 and contains the point (0,-4)
The slope intercept of a line is y = mx+c, where m is slope,
Here, m = 4/3, x = 0 and y = -4
Finding for c,
-4 = 4/3x0+c
c = -4
Establishing the equation,
y = 4x/3-4
Now plotting the graph,
(Attached)
Hence, the graph will pass through the points (3,0) and (0,-4)
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Royce kept track of the inches of snowfall in his town over a 15-day period. Royce’s data is given below. 1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3 Which box plot shows this data set?
Answer:
The correct option - Figure A
Step-by-step explanation:
The exact question is as follows :
Given - Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.
1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3
To find - Which box plot shows this data set?
Solution -
Given the data is -
1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3
Firstly,
Arrange the data from smallest to largest
0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 7
Now,
Find the median
Median is the middle value - i.e. (15 + 1)/2 = 8th value
So, we get Median = 2
Now,
Find the Quartile -
The first quartile is the median of the data points to the left of the median.
i.e. Median of 0, 0, 0, 0, 0, 1, 1
so, we get
Q1 = 0
The third quartile is the median of the data points to the right of the median.
i.e. Median of 2, 2, 2, 3, 3, 5, 7
so, we get
Q3 = 3
Now,
Compute the min and the max
Minimum value = 0
Maximum value - 7
So,
five number summary is -
0, 0, 2, 3, 7
And we draw the box as follows -
So,
The correct option - Figure A
What would be the slope intercept form for the inequality 3x-2y>5?
Answer:
y<3/2x-5/2
Step-by-step explanation:
You just have to know how to get y on one side and the rest of the problem on the other.
First you would subtract 3x from both sides, which leaves you with -2y>5-3x.
Lastly you would divide both sides by -2.
To get the final answer of y<3/2x-5/2
Savannah's balance in her checking account was –$638.57. She deposited two checks, each in the amount of $298.40. What is Savannah’s new checking account balance after the deposits?
the ratio of potatoes to turnips is 1:1.if there are 473 potatoes how many turnips are there.
Answer:
473
Step-by-step explanation:
1:1
473:x
Cross Multiply
1x=473
Divide both sides by 1
x=473
what is the product: -4[ 8 -1 -5 9
A: [-32 4 20 -36] B: [32 -4 -20 36] C: [4 -5 -9 5] C: [-32 -1 -5 9]
Answer:
A
Step-by-step explanation:
To find the product of -4 and the vector [8, -1, -5, 9], you need to multiply each element of the vector by -4. Here's the calculation:
-4 * 8 = -32
-4 * -1 = 4
-4 * -5 = 20
-4 * 9 = -36
Therefore, the product of -4 and [8, -1, -5, 9] is:
[-32, 4, 20, -36]
So the correct answer is A: [-32, 4, 20, -36].
factor 2e-2 please help me whith thing
Answer:
2(e-1)
Step-by-step explanation:
8+[8+(−1⋅(−3)−4)]÷(−7)
Answer:
8 + [8 + (-1*(-3)-4)]÷(-7) = 7/1 = 7
Hope this helped answer your question!
Answer:
7
Step by Step Explanation:
i need help : D pleasee answer
Answer:
The correct answer is the last one 80(5 + x)
Consider a medium with parameters € = 1.2 (10^-10 )F/m , n= 3(10^-3) H/m and sigma=0. Magnetic field intensity in the medium is given as R = 2cos (10^10t- 600x)äz Am.
Use Maxwell's equations to obtain the followings:
1) Magnetic flux density
These questions is circuit theory
Using Maxwell's equations, we can determine the magnetic flux density. One of the Maxwell's equations is:
\(\displaystyle \nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}}{\partial t}\),
where \(\displaystyle \nabla \times \mathbf{H}\) is the curl of the magnetic field intensity \(\displaystyle \mathbf{H}\), \(\displaystyle \mathbf{J}\) is the current density, and \(\displaystyle \frac{\partial \mathbf{D}}{\partial t}\) is the time derivative of the electric displacement \(\displaystyle \mathbf{D}\).
In this problem, there is no current density (\(\displaystyle \mathbf{J} =0\)) and no time-varying electric displacement (\(\displaystyle \frac{\partial \mathbf{D}}{\partial t} =0\)). Therefore, the equation simplifies to:
\(\displaystyle \nabla \times \mathbf{H} =0\).
Taking the curl of the given magnetic field intensity \(\displaystyle \mathbf{R} =2\cos( 10^{10} t-600x)\hat{a}_{z}\, \text{Am}\):
\(\displaystyle \nabla \times \mathbf{R} =\nabla \times ( 2\cos( 10^{10} t-600x)\hat{a}_{z}) \, \text{Am}\).
Using the curl identity and applying the chain rule, we can expand the expression:
\(\displaystyle \nabla \times \mathbf{R} =\left( \frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial y} -\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial z}\right) \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Since the magnetic field intensity \(\displaystyle \mathbf{R}\) is not dependent on \(\displaystyle y\) or \(\displaystyle z\), the partial derivatives with respect to \(\displaystyle y\) and \(\displaystyle z\) are zero. Therefore, the expression further simplifies to:
\(\displaystyle \nabla \times \mathbf{R} =-\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial x} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Differentiating the cosine function with respect to \(\displaystyle x\):
\(\displaystyle \nabla \times \mathbf{R} =-2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).
Setting this expression equal to zero according to \(\displaystyle \nabla \times \mathbf{H} =0\):
\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z =0\).
Since the equation should hold for any arbitrary values of \(\displaystyle \mathrm{d} x\), \(\displaystyle \mathrm{d} y\), and \(\displaystyle \mathrm{d} z\), we can equate the coefficient of each term to zero:
\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x) =0\).
Simplifying the equation:
\(\displaystyle \sin( 10^{10} t-600x) =0\).
The sine function is equal to zero at certain values of \(\displaystyle ( 10^{10} t-600x) \):
\(\displaystyle 10^{10} t-600x =n\pi\),
where \(\displaystyle n\) is an integer. Rearranging the equation:
\(\displaystyle x =\frac{ 10^{10} t-n\pi }{600}\).
The equation provides a relationship between \(\displaystyle x\) and \(\displaystyle t\), indicating that the magnetic field intensity is constant along lines of constant \(\displaystyle x\) and \(\displaystyle t\). Therefore, the magnetic field intensity is uniform in the given medium.
Since the magnetic flux density \(\displaystyle B\) is related to the magnetic field intensity \(\displaystyle H\) through the equation \(\displaystyle B =\mu H\), where \(\displaystyle \mu\) is the permeability of the medium, we can conclude that the magnetic flux density is also uniform in the medium.
Thus, the correct expression for the magnetic flux density in the given medium is:
\(\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}\).
Consider the line 3x+2y=-1.
Find the equation of the line that is perpendicular to this line and passes through the point (5, 3).
Find the equation of the line that is parallel to this line and passes through the point (5, 3).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Equation of perpendicular line:
Equation of parallel line:
0
As group size increases, which of the following typically occurs?
a. Complexity increases
b. Factions develop
c. The number of nonparticipating members increases
As group size increases, the complexity of the group increases (option A).
What is group size?
Even within the same species, group size can vary greatly, so we frequently need statistical tests to evaluate these measurements between two or more samples as well as statistical measures to quantify group size. Since group sizes typically follow an aggregated (right-skewed) distribution, where most groups are small, few are large, and a very small number are very large, group size measures are infamously challenging to handle statistically.
As group size increases, the complexity of managing and coordinating the group also increases.
The larger the group, the more difficult it is to communicate effectively, to make decisions, and to ensure that everyone is working towards a common goal.
This is why larger organizations often have more complex hierarchies and more formalized communication and decision-making processes.
Therefore, the correct option is A.
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Name the red line. Select ALL that apply.
1. PN
2. PW
3. WN
4. line d
5. NW
6. line P
Answer:
1. PN
Step-by-step explanation:
solve for x:
7x=6+5 (3x+3)-x
Answer: x= -3
Step-by-step explanation:
7x = 6+ 15x + 15 - x
7x = 21 + 14x
-7x = 21
x= -3
Question 11
Select all expressions that are equivalent to 9(6k + 3r).
A
15k + 121
B
54k + 27r
С
6(3k + Or)
D
3(18k +91)
Answer:
I think it is d
Step-by-step explanation:
so sorry if it wrong i tried my best
Answer:
b for sure im not sure if there are any more
ugh i have this question and im not sure if there are any other answers
Step-by-step explanation:
Joe measured the diameter of a tennis ball correct to the nearest millimetre. The upper bound of his measurement was 6.75 centimetres. Write down, in imillimetres, the lower bound of his measurement.
The lower bound of the measurement is 65.5 millimetres.
A centimetre equals 10 millimetres, a measure is expressed by the measured magnitude plus uncertainty, the latter one represents the grade of precision of the measure instrument. That is to say:
\(y = x + \epsilon\) (1)
Where:
\(x\) - Measured magnitude, in millimeters.\(y\) - Possible magnitude, in millimeters.\(\epsilon\) - Uncertainty, in millimeters.If we know that \(y = 67.5\,mm\) and \(\epsilon = 1\,mm\), then the lower bound of the measurement is:
\(y = 67.5\,mm - 2\cdot (1\,mm)\)
\(y = 65.5\,mm\)
The lower bound of the measurement is 65.5 millimeters.
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