Draw a perpendicular line to the x-axis that passes through the point (8,4)
1) Since a line is parallel then must have the same slope. In this case, there is no slope since x=-1 is a vertical line. But let's visualize it, the initial situation described by the problem:
2) Since it must be parallel to x=-1, our new line must be perpendicular to the x-axis and pass through x-coordinate, x=8. Since it must intercept point (8,4) Like this:
3) So to trace this line, we must draw a perpendicular line to the x-axis that passes through the point (8,4)
Enter an integer to represent the situation.
an elevator ride down 35 stories
Answer:
-35
Step-by-step explanation:
this is a simple but confusing question
however,
since they said down the elevator, and the negative integers reduces, therefore we have our answer as
-35
Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)
The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2
The y-intercept is g(0) = 4The end behaviour is \(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)From the question, we have the following parameters that can be used in our computation:
The 5 functions of g(x)
To determine the key features of the function g(x), we make use of the first
g(x) = (x + 2)(x − 1)(x − 2)
So, we have
Zeros
This is when the function equals 0
(x + 2)(x − 1)(x − 2) = 0
Evaluate
x = -2, 1 and 2
The y-intercept
This is when the value of x in the function equals 0
g(0) = (0 + 2)(0 − 1)(0 − 2)
Evaluate
g(0) = 4
End behaviour
This is the behavior of the graph of the function as it approaches the ends of the x-axis
So, we have
\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)
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Nora is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The labor and materials cost $150 for each phone manufactured, and the total cost of producing 8 phones in a day would be $2200. Write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.
Answer:
C=150p+1000
Step-by-step explanation:
Solve for the y-intercept:
C=50p+b Slope intercept form of a line
2200=150(8)+b
Plug in known point
2200=1200+b Multiply
1000=b
Subtract 12001200
The equation is C = 1000 + 150p
The total cost of producing a phone is the sum of the fixed cost and the variable cost
Total cost = fixed cost + variable cost
Fixed cost is the cost of producing phone that remains constant regardless the quantity of phones produced. e.g. rent
Variable cost is the cost of producing phone that increases with the quantity of phones produced. e.g. labour cost
In order to write the equation, the fixed cost has to be determined.
Fixed cost = total cost - variable cost
Variable cost = $150 x 8 = $1200
2200 - 1200 = 1000
The equation is : C = 1000 + 150p
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a rectangular auditorium seats 2244 people. The number of seats in each row exceeds the number of rows by 7. Find the number of seats in each row
Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.
Find the number of seats in each row:
Here in the question it is given that,
a rectangular auditorium seats 2244 peoplenumber of seats in each row exceeds the number of rows by 7We have to find the number of seats in each row.
Let us assume that the number of seats in each row be x.
From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,
Number of seats in one row = Number of rows + 7
x = Number of rows + 7
⇒ Number of rows = x - 7
Total number of seats in the auditorium can be written as,
⇒ (Number of seats in one row)(Number of rows) = Total number of seats
(x)(x - 7) = 2244
x² - 7x = 2244
⇒ x² - 7x - 2244 = 0
By using quadratic formula we can find the root,
x = (-b ± √b² - 4ac)/2a
here in the question, a = 1, b = -7, c = -2244
√b² - 4ac = √(-7)² - 4(1)(-2244)
√b² - 4ac = √49 + 8976
√b² - 4ac = √9025
√b² - 4ac = 95
x = (-b ± √b² - 4ac)/2a
x = (7 ± 95)/2
x = 102/2 or x = -88/2
⇒ x = 51 or x = -44
Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.
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Find the 8th term of the geometric sequence whose common ratio is
1/3
and whose first term is 5.
Answer: 5/2187
Step-by-step explanation: The equation for geometric sequence is (a (subroot) n = a (subroot) 1) x ratio^(n-1).
a (sub) n = a (sub) 8a (sub) 1 = 5ratio = 1/3(n-1) = 7Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
Evaluate the piecewise function
The solution of the composite function fog(x) = 3x + 3 at x > 2.
What is composite function?Let the two function f(x) and g(x) generate a new function h(x) using an operation.
The operation is composition of functions and h(x) is a composite function.
We have three piecewise function.
First we have to show that,
the composite function,
fog(x) at x > 2.
For that,
g(x) at x > 2 is,
g(x) = 3x.
Now, f(g(x)),
= f(3x)
= 3x + 3 at x > 2.
Therefore, the function is fog(x) = 3x + 3.
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The complete question:
Find the fog(x) at x > 2
Miss Lianto mowed 2 7 of her lawn. Her son mowed 1 3 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!
8/21 of the lawn still needs to be mowed.
To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.
Miss Lianto's fraction: (2/7) x (3/3) = 6/21
Son's fraction: (1/3) x (7/7) = 7/21
To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:
Combined fractions mowed: 6/21 + 7/21 = 13/21
So, Remaining fraction: 1 - 13/21 = 8/21
Therefore, 8/21 of the lawn still needs to be mowed.
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Hattie purchased 12a pounds of apples and 4b pounds of bananas from the grocery store. She then used 2b pounds of bananas and 7a pounds of apples making pies. If a is the cost per apple and b is the cost per banana, which expression represents the total amount Hattie spent?
Answer:
We know that Hattie purchased 12*a pounds of apples.
We also know that a is the cost per apple, and in one apple we have about 0.33 lb, then in a pound of apples we have N apples, such that:
N*0.33lb = 1lb
N = 1/0.33lb = 3
In a pound of apples, we have 3 apples, then in 12*a pounds of apples we have a total of:
12*a*3 apples.
each apple costs a, then the total cost in apples is:
(12*a)*(3*a)
36*a^2
We also know that she bought 4*b pounds of bananas, and each banana costs b.
We know that one banana weights around the same as an apple, then we also would have 3 bananas in one pound of bananas.
In 4*b pounds of bananas, we wil have:
4*b*3 bananas in total.
And each one costs b, then the price in bananas is:
4*b*3*b
12*b^2
The total cost is:
36*a^2 + 12*b^2
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Find the area of the combined rectangles.
9 ml
1 2 3 4
The area is
11 ml
19 ml
square miles.
2 ml
8 ml
5
7 ml
To find the area of the combined rectangles, we need the dimensions (length and width) of each rectangle. However, the provided text and numbers do not seem to correspond to a clear description of the rectangles or their dimensions. Could you please provide more specific information or clarify the question?
let be an m x n matrix. which of the following is/are true? (select all that apply) group of answer choices the product ax is defined when x is a 1 x n vector. if the matrix equation ax
The following statements are true:
The product "ax" is defined when "x" is a 1 x n vector, provided the dimensions of the matrix "a" and the vector "x" are compatible. For the product to be defined, the number of columns in "a" must equal the number of rows in "x".
The matrix equation "ax = b" has a unique solution for "x" if and only if the matrix "a" is non-singular, meaning that its determinant is non-zero. If "a" is non-singular, then the inverse of "a" exists and can be used to solve for "x" using the formula "x = a^(-1)b". If "a" is singular, then the equation "ax = b" is either inconsistent (i.e., has no solution) or has infinitely many solutions.
So, both options are true.
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Vanessa solved 244 problems in a recent Marathon. She solved four times as many problems as her friend Bethany. What equation could be used to find the correct solution?
A) 244 = 4 B
B) (244) 4 = B
C) 244 B = 4
D) 244 + 4 = B
Answer:
b
Step-by-step explanation:
Answer:
b) 244*4= b
Step-by-step explanation:
The price on the gas pump is 1/2 the actual price. what is the actually price if the pump registers $6.54
Answer:
$13.08
Step-by-step explanation:
If the price on pump is half the actual price, we just need to double what it says
So
$6.54 x 2 = $13.08
Which graph shows the solution to the systern of linear inequalities? x+3y>6 y>2x+4
Answer: y>2x+4
Step-by-step explanation:
Probability of getting one 6 on fours rolls of a single die?
The probability of getting one 6 on four rolls of a single die is 0.517
The number of rolls = 4
The probability of getting one 6 on four rolls of a single die = 1 - The probability of not getting one 6 on four rolls of a single die.
We know probability = Number of favorable outcomes / Total outcomes
In first throw,
The probability of not getting the number 6 = 5/6
Next three throws are independent events
Therefore,
The probability of not getting one 6 on four rolls of a single die = (5/6) × (5/6) × (5/6) × (5/6) = 625/1296
The probability of getting one 6 on four rolls of a single die = 1 - 625/1296
= 671/1296
= 0.517
Hence, the probability of getting one 6 on four rolls of a single die is 0.517
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A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10 degrees to the horizontal. Calculate the length of the zip wire.
∘
to the horizontal. Calculate the length of the zip wire
The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.
To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.
Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).
The formula for sine is:
sin(angle) = opposite / hypotenuse
Rearranging the formula, we have:
hypotenuse = opposite / sin(angle)
In this case, the opposite side is the vertical distance, which is h.
So, the formula becomes:
hypotenuse = h / sin(angle)
To find h, we can use the formula for the length of the zip wire:
h = 25 * tan(angle)
Substituting this into the previous formula, we get:
hypotenuse = (25 * tan(angle)) / sin(angle)
Calculating the value, we have:
hypotenuse = (25 * tan(10°)) / sin(10°)
Using a calculator, we find:
tan(10°) ≈ 0.1763
sin(10°) ≈ 0.1736
Substituting these values, we can calculate the length of the zip wire:
hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters
Therefore, the length of the zip wire is approximately 25.35 meters.
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what is the answer to 1/2 ÷2 as a fraction
Answer:
1/4
Step-by-step explanation:
1/2 ÷ 2 = 1/4
Answer:
0.25 which is 1/4.
you're welcome(:
also please give brainliest.
Step-by-step explanation:
Complete the statement below about the two figures.
Choices:
the Two figures are (Not similar/similar) because 2/5
(Equals/ does not equal) 3/6
The Two figures are (Not similar) because 2/5 ( does not equal) 3/6.
What is similar rectangle?
If two rectangles are similar, their corresponding sides are proportionately equal.
Now comparing the length and width of the two rectangles then.
=> 2/5 = 3/6
Which is not equally proportional.
Hence the both rectangles are similar because 2/5 does not equal 3/6 .
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1. A research team wants to investigate the usefulness of relaxation training for reducing levels of anxiety in individuals experiencing stress. They identify 30 people at random from a group of 100 who have "high stress" jobs. The 30 people are divided into two groups. One group acts as the control group - they receive no training. The second group of 15 receive the relaxation training. The subjects in each group are then given an anxiety inventory. The summarized results appear below where higher scores indicate greater anxiety. Evaluate using the criteria of p < .05. Assume it is a two tailed test.
Answer:
a. H0:u1=u2
Ha:u1>u2
b. T-critical value =1.7011
c. We can conclude that relaxation training has reduced stress levels based on evidence gathered from statistical calculations
Step-by-step explanation:
Please find attachment
what is 7,750 divided by 155?
Answer:
50
Step-by-step explanation:
7,750÷155=50
the sum of 2 numbers is 15 and their difference is 5
Answer:
10 and 5
Step-by-step explanation:
10-5=5
10+5=15
Answer:
10 and 5
Step-by-step explanation:
Difference means subtraction and sum means addition, so two numbers added together is 15 but subtracted is 5 so we know that the sum is 15 and when one of the numbers subtracts the other, the difference is 5, so 5 is one of the numbers. Therefore:
15 - 5 = 10, 10 is the other number
What did Disney learn from the success of their first full length film, Snow White and the Seven Dwarfs?
Animated features appealed to a wide audience.
Animals are more popular than humans in animated film.
They would need to improve special effects to draw in audiences.
Animation was much cheaper and easier to produce than live action.
Answer:
the first one
Step-by-step explanation:
Answer:
Did u know this was released in 1937
Step-by-step explanation:
And the answer is the 3rd answer
In circle XX, m\angle YXZ=100^\circ∠YXZ=100
∘
and the length of \overset{\LARGE\frown}{YZ} = 5\pi
YZ
⌢
=5π. Find the length of \overline{XY}
XY
delta math
The length XY of the circle X is the radius of the circle
The length of XY is 9 units
How to determine the length of XY?The parameters are given as:
Length of arc, YZ = 5πCentral angle, YXZ = 100°The length of arc is calculated using:
L = Ф/360 * 2πr
Where:
L = YZ = 5πФ = YXZ = 100°Radius, r = XYSo, we have:
5π = 100/360 * 2πr
Evaluate the quotient
5π = 5/9 * πr
Divide both sides by 5π
1 = 1/9 * r
Multiply both sides by 9
r = 9
This means that
XY = r = 9
Hence, the length of XY is 9 units
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Triangle ABC is similar to triangle DEF. what is the length of AC?
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:
\(\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}\).
Help PLEASE PICTURE BELOW!!
Answer:
table d
Step-by-step explanation:
functions can not have the same input twice
Answer:
A B and C repreasent functions
Step-by-step explanation:
2(3x + 2) = 2x - 1+x.
Answer:
x = -5/3
Step-by-step explanation:
Hope this helps!
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Which of the following conditions are sufficient to show that triangle ABC sim triangle QPR
Select all that apply.
A. m angle Q = 63
B. m angle R = 81
D. m angle P = 81
C. RP = 4.5
Answer:
C. RP = 4.5
Step-by-step explanation:
You want to know what condition is sufficient to show ∆ABC ~ ∆QPR, given three sides and 2 angles in ∆ABC, and 2 sides in ∆QPR.
SimilaritySimilarity can be shown if all three sides are proportional, or if two angles are congruent.
The offered answer choices only list one angle, so none of those will work. The answer choice that makes the third side of ∆QPR be in the same proportion as the corresponding side of ∆ABC is the condition of interest.
C. RP = 4.5
__
Additional comment
The side ratios in the two triangles are ...
AB : BC : CA = 10 : 9 : 6
QP : PR : RQ = 5 : PR : 3
For these ratios to be the same, PR must be half of BC, just as the other segments in ∆QPR are half their counterparts in ∆ABC.
Someone please help me asap.
The equation of the relationship is f(200) = 0.75 * 200
Writing the equation of the relationshipFrom the question, we have the following parameters that can be used in our computation:
Total number of drinks = 200
Cost of each drink = 0.75
Using the above as a guide, we have the following:
f(x) = Cost of each drink * Total number of drinks
Where
f(x) = Total cost
Substitute the known values in the above equation, so, we have the following representation
f(200) = 0.75 * 200
Hence, the equation is f(200) = 0.75 * 200
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Point e,d, and h are the midpoints of the sides of the triangle TUV. UV = 80, TV=100, and HD = 80
Answer:
Step-by-step explanation:
We will use to midsegment theorem to solve this question.
Midsegment theorem,
Segment joining the midpoints of two sides of a triangle, is parallel and and measure the half of the the third side.
7). HE is the midsegment.
HE = \(\frac{1}{2}(VU)\)
= \(\frac{1}{2}\times (80)\)
= 40
8). ED = \(\frac{1}{2}\times (TV)\)
= \(\frac{1}{2}(100)\)
= 50
9). HD = \(\frac{1}{2}(TU)\)
TU = 2(HD)
= 2(80)
= 160
10). TE = \(\frac{1}{2}(TU)\)
= \(\frac{1}{2}\times 160\)
= 80