Answer:
w^2+ 9 + 2 0
Step-by-step explanation:
HELP PLEASE
A bus that seats 50 people was rented by a local club. As the bus fills with people, the price of each seat is lowered. What type of
trend would this be?
A) Positive
B) Negative
C)No trend
Answer: B) Negative
Step-by-step explanation:
Answer:
B) Negative
Step-by-step explanation:
The question states that as the number of people increases, the price of each seat decreases. Therefore this is a negative trend, because the increase in one variable leads to the decrease in the other variable.
Hope this helped!
y – 2 = 3(x - 1)
thank you
Answer:
YOUR WELCOME
\(\:\)
y = 3x − 1
Using the slope-intercept form, the slope is 3.
m = 3
Jenny wants to order tickets to a production of Charles Dickens’ A Christmas Carol. The ticket broker charges a one-time fee of $15 plus $28 per ticket. The total cost of t tickets can be found using the expression 15+28t. How much will it cost Jenny to purchase 4 tickets?
$127 is the answer.. can i have a brainliest? :)
1. Global warming creates local problems. Projections forecast that even a moderate air temperature increase of only 1.8 °F could cause brook trout distributions to decrease dramatically. For example, such a temperature increase would take Washburn county's 19 ponds that support brook trout down to 10 ponds. What would be the percent decrease in the number of ponds that support brook trout?
The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.
To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.
Initial number of ponds: 19
Final number of ponds: 10
To calculate the percent decrease, we can use the following formula:
Percent Decrease = (Difference / Initial Value) * 100
Let's apply this formula to the given data:
Difference = Initial number of ponds - Final number of ponds
Difference = 19 - 10
Difference = 9
Percent Decrease = (9 / 19) * 100
Now, let's calculate the percent decrease:
Percent Decrease = (9 / 19) * 100
Percent Decrease ≈ 47.37%
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Someone help I don’t understand
Answer:
a)C
b)E
Step-by-step explanation:
a) You have to pick a vowel. There are three vowels and a total of 6 letters so it is 3/6 so the answer is C
b) Picking a card that is not T. None of the 6 letters are T so the probablity of picking a card with no T is 1. So the answer is E.
3x-5y=22 y=-5x+32 what is the value of x
Natalie walked
3
5
mile in
1
2
hour. How fast did she walk, in miles per hour?
A.
5
6
miles per hour
Answer:
7 miles / hour
Step-by-step explanation:
I'm taking this to mean she walked 3.5 miles. She did this 1/2 hour.
Givens
d (distance ) = 3.5 miles
t (time) = 1/2 hour
r (rate) = ?
Formula
r = d/t
Solution
The easiest way to do this is to change the fractions to decimals.
t = 1/2 = 0.5 hours
r = 3.5 / 0.5
r = 7 miles per hour.
Each volleyball set costs $63.74.
Which equation represents the cost, c, of n sets?
The equation that represents the cost, c, of n sets is c = 63.74n
Which equation represents the cost, c, of n sets?from the question, we have the following parameters that can be used in our computation:
Each volleyball set costs $63.74.
Let the total number of sets be n
So we have
Cost of n = 63.74 * n
This gives
c = 63.74n
Hence, the equation is c = 63.74n
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in how many ways can a family of four be seated at a round table if two brothers must sit together a)1 b)8 c)2 d)4
Answer:
8
Step-by-step explanation:
i think this is right if not it would be 2
The graph of the quadratic function y=2x^2-4x+1 is pictured below along with the point P=(-1,7) on the parabola and the tangent line through P
The equation of the function passing through the given point is
y = -8x -1
The equation of a line in point-slope form is expressed as:
\(y-y_0=m(x-x_0)\)
m is the slope
\((x_0,y_0)\) is the point on the line
Given the equation \(y=2x^2-4x+1\)
Get the slope by differentiating at x = -1
\(m=\frac{dy}{dx} =4x-4\\m=\frac{dy}{dx} =4(-1)-4\\m=\frac{dy}{dx} =-4-4\\m=\frac{dy}{dx} =-8\)
Substitute (-1, 7) and m = -8 into the formula above to have \(y-7=-8(x+1)\)
Simplify
\(y-7=-8x-8\\y+8x = -8+7\\y+8x=-1\\y=-8x-1\)
Hence the equation of the function passing through the given point is
y = -8x -1
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rewrite 9x2 + 3xy + 15x + 5y in factored form. (3x + 3)(5x + y) (3x + 5)(3x + y) (3x + 5y)(3x + 1) (3x + y)(5x + 3)
The given equation 9x2 + 3xy + 15x + 5y in factored form is\((3 x+y)(3 x+5)$$\)
What is factored form?The factored form of a quadratic expression is one in which the quadratic expression is the product of two factors, each of which is a linear expression. By extending it, which entails multiplying out the factors, a factored expression can be restated in standard form. Y=12(x-6)(x+2) is an illustration of a factored quadratic function. The graph's x-intercepts and vertex can both be determined by analyzing this form. The four primary methods of factoring are the Grouping method, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF).
Factor \($9 x^2+3 x y+15 x+5 y:\)
Steps
\(& 9 x^2+3 x y+15 x+5 y \\\)
\(& =\left(9 x^2+3 x y\right)+(15 x+5 y)\)
Factor out 3 x from \($9 x^2+3 x y: \quad 3 x(3 x+y)$\)
Factor out 5 from\($15 x+5 y: \quad 5(3 x+y)$\)
\($$=3 x(3 x+y)+5(3 x+y)$$\)
Factor out common term\($3 x+y$\)
\($$=(3 x+y)(3 x+5)$$\)
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What is the value of the missing angle (x+15)
Answer:
x = 70
Step-by-step explanation:
The total interior angle in a square, even with not a perfect square, adds to 360
Set your formula up as
360 = (x+15) + x + 115 + 90
360 - 115 - 90 - 15 = 2x
140 = 2x
140/2 = x
70 = x
Consider the line y=-8x+6.
Find the equation of the line that is parallel to this line and passes through the point (7, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (7, 5).
The equation of the line that is parallel and perpendicular to y = -8x + 6 and passes through the point (7, 5) are y = -8x + 61 and \(y = \frac{1}{8}x + \frac{33}{8}\) respectively.
What is the equation of line parallel and perpendicular to the given line?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the original line:
y = -8x + 6
Using the slope intercept:
Slope m = -8
Since the desired line is parallel, it will have the same slope.
Therefore, the slope of the parallel line is also -8.
Plug in the slope m = -8 and the poin (7,5) into the point-slope form:
( y - y₁ ) = m( x - x₁ )
( y - 5) = -8( x - 7 )
Simplify
y - 5 = -8x + 56
y = -8x + 56 + 5
y = -8x + 61
The equation of the parallel line is y = -8x + 61.
For the perpendicular line:
The slope of the perpendicular line will be the negative reciprocal of -8, which is 1/8.
Hence, plug slope m = 1/8 and point (7,5) into the point-slope form:
( y - y₁ ) = m( x - x₁ )
\(y - 5 = \frac{1}{8} ( x + 7 )\\\\y - 5 = \frac{1}{8}x + \frac{7}{8} \\\\y = \frac{1}{8}x + \frac{7}{8} + 5\\\\y = \frac{1}{8}x + \frac{33}{8}\)
Therefore, the perpendicular line is \(y = \frac{1}{8}x + \frac{33}{8}\).
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What is the radius for the circle given by the equation x^2+(y-1)^2=12?
Round your answer to the nearest thousandth.
9514 1404 393
Answer:
3.464
Step-by-step explanation:
Comparing the given equation to the standard form equation of a circle:
(x -h)^2 +(y -k)^2 = r^2
we find the center to be (h, k) = (0, 1) and the radius to be √12 = 2√3.
The problem statement tells us to round the radius to the nearest thousandth, so it will be ...
2√3 ≈ 3.4641016 ≈ 3.464 . . . radius of the circle
In an attempt to asses total daily travel taxes in various cities, the Global Business Travel Association conducted a study of daily travel taxes on lodging, rental cars, and meals (GBTA Foundation website, October 30, 2012). The data in the file named "TravelTax" are consistent with the findings of that study for business travel to Chicago. Assume the population standard deviation is known to be $8.50 and develop a 95% confidence interval of the population mean total daily travel taxes for Chicago.
Lodging, Car Rental, and Meal Taxes ($)
38.02
41.89
47.44
40.14
47.69
44.02
32.93
33.32
33.90
36.53
43.01
33.22
35.65
39.47
38.86
42.42
47.71
45.03
53.73
36.07
49.95
31.81
63.43
31.50
64.13
42.14
46.78
30.45
47.35
39.42
39.79
43.63
34.03
35.74
48.43
30.92
44.45
41.63
27.23
41.03
43.87
46.07
34.34
39.57
36.40
48.18
42.92
35.57
45.68
43.14
55.21
34.73
26.40
40.66
37.66
28.63
38.17
45.16
46.19
49.58
48.14
45.61
34.22
44.34
55.14
37.00
48.78
52.77
49.07
38.14
45.35
42.59
41.27
20.93
30.70
43.00
50.91
38.56
41.31
39.18
33.57
25.09
30.05
19.28
32.47
53.97
47.32
35.61
44.11
38.97
37.48
40.55
52.03
46.86
46.07
34.89
42.93
49.64
44.35
41.66
39.80
50.31
36.59
33.40
45.51
44.43
47.65
36.24
32.03
32.81
31.64
40.18
34.13
33.22
48.60
40.66
43.37
41.08
34.11
52.91
31.76
56.03
33.61
40.11
53.77
34.73
35.58
48.28
31.89
34.71
37.44
34.77
31.82
39.98
44.66
31.78
21.69
43.23
54.00
46.55
44.85
42.15
25.67
50.25
44.62
44.30
45.09
35.12
34.06
31.77
36.55
36.79
29.65
47.66
25.91
47.27
32.31
42.52
46.86
48.75
38.81
33.66
27.24
46.40
50.95
39.74
35.47
35.95
29.51
62.77
37.72
45.80
39.91
33.28
39.63
28.57
38.14
36.04
40.13
35.51
31.49
39.49
37.69
50.34
44.10
45.61
46.51
53.00
35.40
25.64
47.65
47.49
32.76
45.41
28.77
37.32
28.64
50.67
33.77
40.88
Answer:
The 95% confidence interval of the population mean total daily travel taxes for Chicago is ($39.13, $41.49).
Step-by-step explanation:
The first step, before building the confidence interval, is finding the mean of the data set.
We are given 200 values, and the with the help of a calculator, the mean of this values is of 40.31.
Confidence interval:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1 - 0.95}{2} = 0.025\)
Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).
That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.
Now, find the margin of error M as such
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation of the population(8.50, as given in the problem) and n is the size of the sample(200).
\(M = 1.96\frac{8.50}{\sqrt{200}} = 1.18\)
The lower end of the interval is the sample mean subtracted by M. So it is 40.31 - 1.18 = $39.13.
The upper end of the interval is the sample mean added to M. So it is 40.31 + 1.18 = $41.49.
The 95% confidence interval of the population mean total daily travel taxes for Chicago is ($39.13, $41.49).
Answer:
($39.132, $41.488)
A step-by-step explanation is mentioned in the attached image
Why does marginal cost curve cut average cost curve only at its minimum point?
The marginal cost of producing the next unit of output always affects the average total cost, so the marginal cost curve always intersects the average total cost curve at its lowest point.
The difference in overall production costs caused by creating or producing one more unit is known as the marginal cost.
By producing at the point where marginal cost (MC) equals marginal revenue, a business can optimize its earnings (MR).
Because fixed costs are fixed regardless of output levels, larger production spreads the total fixed cost over more units, resulting in a lower fixed cost per unit.
Production levels affect variable costs, so increasing the number of units will increase those costs.
Companies need to be aware of the situations when expanding production entails step costs as a result of shifting relevant ranges.
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What is the y-intercept of the quadratic function
f(x) = (x – 6)(x – 2)?
(0,-6)
(0,12)
(-8,0)
(2,0)
Answer:
(0,12) are the correct y-intercepts.
Which of the following terms best describes a vertical line that the graph of a function approaches but never intersects
Answer: an asymptote is, essentially, a line that a graph approaches , but does not intersect.
Step-by-step explanation:
for example , in the following graph of y =1x y=1x the line approaches the x- axis (y=0) but never touches it
The sides of a regular 9-sided polygon have been
extended to make a star, as shown below.
Calculate the size of angle x.
Give your answer in degrees (°).
x
Answer:
x = 100°
Step-by-step explanation:
As the given shape is a regular polygon, the triangles created by extending the sides are isosceles triangles.
To calculate the base angles of the isosceles triangle, find the interior angle of the regular polygon:
\(\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}\)
\(\textsf{(where }n \textsf{ is the number of sides)}\)
Therefore:
\(\textsf{Interior angle of a regular nonagon} = \dfrac{180^{\circ}(9-2)}{9}=140^{\circ}\)
As angles on a straight line sum to 180°, the base angle of the isosceles triangle is:
= 180° - interior angle
= 180° - 140°
= 40°
Interior angles of a triangle sum to 180°.
⇒ 2 base angles + x = 180°
⇒ 2 × 40° + x = 180°
⇒ 80° + x = 180°
⇒ x = 180° - 80°
⇒ x = 100°
An angle measures 50° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
115, 65
Step-by-step explanation:
Let x be an angle measurement
x-50 is the supplement
They add to 180
x + x-50 = 180
2x-50 = 180
Add 50 to each side
2x-50 + 50 =180+50
2x = 230
Divide by 2
2x/2 =230/2
x = 115
The measure are 115 and 115-50=65
What’s the mean of 46,57,66,63,49,52,61,68
Answer:
Step-byHow do I calculate the mean?
The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value
-step explanation:
46+57+66+63+49+52+61+68= 462/8 the total number of observation
the answer 57
please help ASAPPPPP 13 points
Answer:
x^5/3y^1/3- 2nd option
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Just divide the exponent by 3
Which graph represents the solution to the compound inequality? 4x + 8 < –16 or 4x + 8 ≥ 4 A number line with an open circle at negative 6 with a bold line pointing to the right ending at the point at negative 1. A number line with a point at negative 6 with a bold line pointing to the right ending at the open circle at negative 1. A number line with an open circle at negative 6 with a bold line pointing to the left. A point at negative 1 with a bold line pointing to the right. A number line with a point at negative 6 with a bold line pointing to the left. An open circle at negative 1 with a bold line pointing to the right.
Answer:
a line starting at -6 going to the left of this number, and with an open circle around the -6.
Step-by-step explanation:
To solve for this inequality, we need to isolate "x" on one side of the inequality symbol (<):
4 x + 8 < -16
subtract 8 from both sides:
4 x < -16 - 8
4 x < - 24
now divide both sides by 4 to get rid of the 4 that appears multiplying "x":
x < - 24/4
x < - 6
To graph this inequality one needs to highlight all the real numbers of the number line to the left of the value -6, making sure that one draws an open circle around the -6 because we don't want this number to be included (notice that x < -6 implies x-values strictly smaller than -6)
Then one would draw a line starting at -6 going to the left of this number, and with an open circle around the -6.
In edg:
A & B
A: StartFraction x over 2 EndFraction less than 1 or StartFraction 4 x minus 2 over 2 EndFraction greater than or equal to 13.< 1 or ≥ 13
B: 3x – 3 < 3 or 2x + 8 ≥ 22
Lee el siguiente poema de Manuel Golmayo, las palabras tienen la longitud de las primeras 20 cifras de π:
Soy y seré a todos definible,
mi nombre tengo que daros,
cociente diametral siempre inmedible
soy de los redondos aros.
Inventa un poema que cumpla con esa misma condición, no tiene límite de largo... lo que tu ingenio te permita.
Answer:
but here is the answer 34+35 daylight
Which graph best represents a function with a domain of all real numbers greater than or
equal to 5?
Answer:
(c)
Step-by-step explanation:
You want the graph that has a domain of x ≥ 5.
DomainThe domain of a function is the set of x-values for which the function is defined. A domain of x ≥ 5 means the function is defined for x-values at least 5. The graph of the function will extend from x=5 indefinitely to the right.
Graph C is like that.
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:
\(\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}\).
NEED ANSWER ASAP!!!!
Answer:
y=4x+64
Step-by-step explanation:
The slope intercept form is y=mx+b, m being the slope and b being the y-intercept
The line intersects the y axis at (0, 64), so the y intercept is 64
To find the slope, find the change in y over the change in x
The y decreases by 16 every time the x increases by 4
SO the slope is 16/4, simplified to 4
y=4x+64
A metalworker wants to make an open box from a sheet of metal, by cutting equal squares from each corner as shown. The maximum volume is approximately ___ in.^3 and is generated when x=___ in. (Round to one decimal place as needed.) Length=24-2xWidth=12-2xHeight=x
a) The dimensions of the open box are
Length = 24 - 2x
Width = 12 - 2x
Height = x
b) Recall that the volume of a rectangular prism is given by
\(V=l\cdot w\cdot h\)So, the function for the volume of the open box becomes
\(V=(24-2x)\cdot(12-2x)\cdot x\)c) Let us have a look at the graph of the above function
Notice that the maximum volume of the open box is approximately 332.6 in³
This maximum volume occurs when x is equal to 2.5 in
x = 2.5 in
Plead Your Case Give the most convincing explanation you can for why a = c
The most convincing explanation I can give for why a = c is supplementary property a+ b
= 180° and b+c = 180° and substraction operation and also one more reason is a = c is also true because they are vertically opposite angles.
What is supplementary angles ?
A supplementary angle is an angle that sums to 180 degrees. For example, the 130° and 50° angles are complementary because the sum of 130° and 50° is 180°.
We know that, supplementary angles are angles whose sum is 180°. From the above figure, using the property that linear pairs are supplementary , we have b+c = 180° , c+d = 180° , d+a = 180° ,
a+b = 180°
Therefore, consider a+b = 180° and b+c = 180°
Using subtraction property of equality, we have
180°- b = a .........(1)
180°-b = c ..........(2)
Substitute 180°- b = a in equation (2) , we get
=> a = c
Hence, we get the required results.
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A box of cereal contains 340 grams of carbohydrates. If there are 12 servings, about how many grams are there in one serving? Show how you estimated. Explain why your answer is reasonable.