c. They have the same vertical shift.
A vertical shift is just an alternate within the y-price of each characteristic. it's miles literally picking up the entire characteristic or graph and moving the whole element up or down. If it's far moved up, we add to the y-cost, if it's far moved down, we subtract from the y-cost.
Vertical shift and lateral shift are phenomena because of the refraction of mild rays once they journey from one medium into every other. while light rays travel across two parallel surfaces, the emergent rays from the second one floor are parallel to the incident rays on the primary floor.
The segment Shift is how far the function is shifted horizontally from the standard position. The Vertical Shift is how long way the function is shifted vertically from the same old function.
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A store sells about 30 pants each week for Nu 800 each. The owner expects to lose one sale each week for every increase in price of Nu 40.
a) Write an expression to represent the
i) new price of a pant after n Nu 40 price increases.
ii) expected number of pants that will be sold weekly after n price increases. b) Write a function to represent the expected weekly sales as a function of the number of price increases of Nu 40. c) Use the function to determine the price that will maximize totally sales.
The new price after the price increase of Nu 40 will be Nu 840.
How to calculate the price?The price of a pant after n Nu 40 price increases will be:
= 800 + 40
= 840
The expected weekly sales as a function of the number of price increases will be:
= n - 1) × 800
= (30 - 1) × 800
= 29 × 800
= 23200
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The lifespan of a car battery averages 5 years. Suppose the battery lifespan follows an exponential distribution. What is the probability that the battery lasts more than 3 years
The probability that battery lasts more than 3 years is [tex]e^{-0.6 }[/tex].
Parameter of Exponential Distribution
It is given that the average lifespan of the car battery = 5 years
⇒ μ = 5
And, we have to find the probability that the car battery lasts more than 3 years.
Now, the relation between the parameter of exponential distribution, λ and average, μ is given as,
1/ λ = μ
⇒ λ = 1/5
Calculating the Probability
The probability for the car battery to lasts more than 3 years is given by P(N>3). Here, N is the lifespan of the car battery.
P(N>3) = 1 - P(N≤3)
P(N>3) = 1-F(4)
Here, F is the exponential distribution for the lifespan of the car battery.
P(N>3) = 1-(1-e^(-λn))
P(N>3) = [tex]e^{-3/5}[/tex]
Thus, the required probability is,
P(N>3) = [tex]e^{-0.6 }[/tex]
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Alcohol is a major contributor to high percentages of academic problems and college dropouts. question: alcohol is a major contributor to high percentages of academic problems and college dropouts. true false not sure increasing alcohol consumption lowers gpas. question: increasing alcohol consumption lowers gpas. true false not sure students who drink more heavily miss classes at the same rate as other students. question: students who drink more heavily miss classes at the same rate as other students. true false not sure students who drink more study less. question: students who drink more study less. true false not sure students with a 2.0 gpa (c) consume twice as many drinks on average than students with a 4.0 gpa (a).
The correct decision for the statements are
True--->Alcohol is a major contributor to high percentages of academic problems and college dropouts. True--->Increasing alcohol consumption lower GPAs. False--->Students who drink more heavily miss classes at the same rate as other students.True----> Students who drink more study less. False----> Students with a 2.0 GPA (C) consume twice as many drinks on average than students with a 4.0 GPA (A).This is further explained below.
What is Alcohol?Generally, alcohol is a colorless liquid that is volatile and combustible. It is created during the natural fermentation of carbohydrates and is the component that gives wine, beer, spirits, and other beverages their intoxicating properties. Additionally, alcohol is utilized as an industrial solvent and as fuel.
In conclusion, The appropriate response for each of the statements is
Alcohol is a significant factor in the large percentage of students who struggle academically and drop out of college, which is true. It's true that drinking more alcohol brings a drop in GPA. Students who consume more alcohol miss the same number of courses as students who consume less alcohol. This statement is false. Students who drink more spend less time studying, which is true. Students with a grade point average of 2.0 (C) drink on average two times as much alcohol as students with a grade point average of 4.0 (A) (A).
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There are 752 cal in 8 ounces of a certain ice cream how many calories are there in 2 pounds
El triángulo ABC es equilátero y L, M y N son los puntos medios de BC, AB y CA respectivamente. Si MN = 3, ¿cuál es el valor de ML?
The value of ML = 3, using the mid-point theorem of triangles.
According to the midpoint theorem, "the line segment of a triangle crossing the midpoints of two sides of the triangle is said to be parallel to its third side and also half the length of the third side."
In the question, we are given that triangle ABC is an equilateral triangle, and L, M, and N are the midpoints of BC, AB, and CA respectively.
Thus, by the midpoint theorem, we can say that:
MN || BC, and MN = (1/2)BC,ML || AC, and ML = (1/2)AC, andNL || AB, and NL = (1/2)AB.Assuming AB = BC = AC = x units, we get:
MN = (1/2)BC = x/2,ML = (1/2)AC = x/2, andNL = (1/2)AB = x/2.
Thus, the triangle LMN is an equilateral triangle.
Thus, MN = ML = NL.
Given MN = 3, we can write the value of ML = 3.
Thus, the value of ML = 3, using the mid-point theorem of triangles.
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The given question is in Spanish. The question in English is:
"Triangle ABC is equilateral and L, M, and N are the midpoints of BC, AB, and CA respectively. If MN = 3, what is the value of ML?"
Can the sides of a triangle have lengths 2, 4, and 7?
Answer:
No, they can't
Step-by-step explanation:
According to the Triangle Inequality Theorem, the largest side cannot be greater than the sum of the other two sides.
2+4= 6<7
As you can see from this Equation NOT any two side are greater than the third making this NOT possibly be a tringle.
2+7=9>4
4+7=11>2
Add the following polynomials, then place the answer in the proper location on the grid. write the answer in descending powers of x. 2x^3+4x-6 3x^3-8x+7
The addition of the polynomials [tex]2x^3+4x-6[/tex] and [tex]3x^3-8x+7[/tex] in the proper location on the grid is [tex]5x^3-4x+1[/tex]
How to find the addition of two polynomials is proper location on the grid ?
Polynomials addition in proper location means add the coefficient of same power of variable
So the addition of polynomials like this
[tex]2x^3+4x-6+3x^3-8x+7[/tex]
[tex]2x^3+3x^3=5x^3\\4x-8x=-4x\\-6+7=1[/tex]
The addition of the polynomials is [tex]2x^3+4x-6+ 3x^3-8x+7=5x^3-4x+1[/tex]
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can someone please help mee (will give brainliest 20 points!!!)
Answer:
a.) C(x) = 10x + 8,000
Step-by-step explanation:
The fixed cost does not change regardless of the variable. Therefore, it should be attached to no variable. However, the variable cost does depend on the number of alarms and thus should be attached to the variable.
This makes the algebraic expression:
C(x) = 10x + 8,000
Your graph should look very similar to this. Keep in mind that our axis are slightly different. You can plot specific points on your graph by plugging random "x" values into your algebraic expression and finding the subsequent "y" values.
Help me please, I'm stuck
Answer:
Gradient: 5
y-intercept: (0, 15)
Step-by-step explanation:
The gradient is usually just the same as the slope, so if we write the equation in slope-intercept form, y = 5x+15, the coefficient of x value (5) is the slope. The y-intercept is when x equals 0. Plug that in to get y = 15.
Select the correct answer from each drop-down menu.
Given: line AB ||line DC and DF_~BF
Prove: DFC _~BFA
Angles are formed when two or more lines intersect. Angles are majorly measured in degrees.
The required proof is as shown below:
Whenever a transversal passes through two parallel lines, angles are formed which have some similar properties.
STATEMENTS REASONS
1. AB ║DC Given.
2. < FDC ≅ < FBA Alternate angle theorem.
3. <AFB ≅ < DFC Vertical opposite angle rule.
4. DF ≅ BF Given
5. ΔDFC ≅ Δ BFA Angle-Angle-Side property
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The nth term of a sequence is 3nsquared/2 1 find the second term of this sequence
Answer:
6
Step-by-step explanation:
Substituting in n = 2,
[tex]\frac{3(2)^{2}}{2}=6[/tex]
Determine if the set (x1,x2)+(y1,y2)=(x1-x2, y1+y2) is a vector space
The set (x1,x2)+(y1,y2)=(x1-x2, y1+y2) is not a vector space.
A set is a vector space if it satisfy all the addition operation axiom and scalar multiplication axiom.
Addition operation:
Commutativity -
(x1, x2) + (y1, y2) equals (x1 - x2, y1 + y2) equals (y1, y2) + (x1, x2)
Associativity -
(x1, x2) plus ((y1, y2) plus (z1, z2)) = (x1, x2) + (z1 + y1, z2 + y2) = (x1+ y1 + z1, x2 + y2 + z2) =
((x1, x2) + (y1, y2)) + (z1, z2)
Zero element -
(0, 0) → (x1, x2) + (0, 0) = (x1, x2)
Inverse element -
(x1, x2) adding (-x1, -x2) = (0, 0)
Scalar multiplication:
Compatibility -
a(b (x, y)) = a(bx, 0) = (abx, 0) = b(ax, 0) = b(a(x, y))
Identity element -
1(x, y) = (x, 0) ≠ (x, y) [Identity element doesn’t exist for this operation.)
Distributivity law -
a((x1, x2) + (y1, y2)) = a(x1 + y1, x2 + y2) = (a(x1 + y1), 0) = a(x1, x2) + a(y1, y2)
Distributivity law -
(a + b)(x, y) = ((a + b)x, 0) = (ax, 0) + (bx, 0) = a(x, y) + b(x, y)
The scalar multiplication postulate is not fulfilled in this space (this operation does not have the identity element). It is therefore not a vector space.
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To model some data Gwyn ran an exponential regression and found the regression equation to be y = 6.72 x 0.996x
Answer:
y=6.72x^0.996x
Step-by-step explanation:
Henry walked on a flat field 9 meters due north from a tree. He then turned due east and walked 24 feet. He then turned due south and walked 9 meters plus 32 feet. How many feet away from his original starting point is Henry
Henry was 40 feet away from his original starting point. Using Pythagorean's theorem it is calculated.
What is the Pythagorean theorem?The theorem says that,
In a right-angled triangle, the sum of squares of the lengths of two arms (opposite and adjacent sides) is equal to the square of the hypotenuse.
I.e, Consider a right-angled triangle ΔABC, where AC is the hypotenuse side of the triangle. So, according to the theory,
AC² = AB² + BC²
Calculation:It is given that,
Henry walked on a flat field,
9 meters - towards the north
24 feet - towards the east
9 meters + 32 feet - towards the south
This can be shown in the diagram below.
In the diagram, the distance from the starting point is X, and the last point is S.
To find the distance between these two points, a line is joined as shown in the diagram. Thus, it is formed as a right-angled triangle.
So, according to the Pythagorean theorem,
XS² = (24)² + (32)²
(here 32 feet is the only distance from the assumed point to the endpoint)
⇒ XS² = 1600 = 40²
∴ XS = 40 feet
So, Henry is 40 feet away from the original starting point.
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PLEASE HELP!!!
Review the table of values for function k(x).
x
k(x)
–19.1
37.5
–19.01
37.95
–19.001
37.995
–19.0001
37.9995
–19
undefined
–18.9999
43.9995
–18.999
43.995
–18.99
43.95
–18.9
43.5
What is Limit as x approaches negative 19 plusk(x)?
37.5
38
43.5
44
.
Which equation represents a circle with a center (-5, -6) and a radius of 5?
The equation of the circle with a center (-5, -6) and a radius of 5 is (x + 5)² + (y + 6)² = 25.
How to Write the Equation of a Circle?The standard equation for writing the equation of a circle is: (x - h)² + (y - k)² = r².
Given the following:
Center (-5, -6) = (h, k)
Radius = 5 = r
Plug in the values into the formula
(x + 5)² + (y + 6)² = 5²
(x + 5)² + (y + 6)² = 25
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Computer geometric modeling is used regularly to help design solid figures we see and use every day. Software programs use techniques such as scaling and rotation to create solid figures that model objects. Research computer geometric modeling and then answer these questions. What basic shapes are used in modeling real-world objects? How are some of the concepts you learned in this unit related to computer geometric modeling? Why is creating a geometric model of something before producing it important?
The geometric modeling is analyzed below.
How to illustrate the information?Basic shapes are generally created using points, lines, circles, and triangles. Some basic shapes are rectangles, ellipses, triangles, and curves.
In geometric modeling, we make a cad model of parts for virtual analysis. By geometric modeling, one can model, and perform CAE analysis to optimize the product.
The best part is the period of doing all this is very small compared to practical manufacturing and looking at the product. In CAD one can very quickly alter the design and come up with new concepts in a very small span of time.
Here chances of error can be shorted easily and there is no wastage of material hence cost saving is there compared to practically manufacturing the part and altering it.
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The relationship between distance travelled, d, and time, t, can be represented by a linear relation. In 56 minutes, a person
runs 6 miles. In 104 minutes, the same person runs 10 miles. An equation that represents this linear relation is?
Answer:
[tex]d=\frac{t}{12}+\frac{4}{3}[/tex]
Step-by-step explanation:
The average rate of change is (10-6)/(104-56) = 1/12.
So, the equation is of the form d = t/12 + c for some constant c.
Substituting in d=6 and t=56 gives that c=4/3.
So, the equation is
[tex]d=\frac{t}{12}+\frac{4}{3}[/tex]
Given Circle G with radius r, what is the formula for the area of the segment (unshaded region)
Answer:
Option D
Step-by-step explanation:
The triangle ABJ is equitorial
So area
√3/4r²Then mBJ is a arc which is 1/6th of circle
Area.
π/6r²So area of unshaded region
πr²/6-√3/4r²r²(π/6-√3/4)Answer:
[tex]\textsf{d.} \quad r^2\left(\dfrac{\pi}{6}- \dfrac{\sqrt{3}}{4}\right)[/tex]
Step-by-step explanation:
To find the area of the unshaded region, subtract the area of ΔJGB from the area of sector JGB.
The measure of an arc is equal to its corresponding central angle measure. Therefore, the central angle of sector JGB is 60°.
As the two sides of ΔJGB adjacent the central angle are the radii of the circle (and therefore equal in length), ∠GJB = ∠GBJ.
Interior angles of a triangle sum to 180°. Therefore, all interior angles of ΔJGB are 60° which makes it an equilateral triangle.
Area of an equilateral triangle:
[tex]\sf A=\dfrac{\sqrt{3}}{4}a^2 \quad \textsf{(where a is the side length)}[/tex]
As the side length of the given equilateral triangle is the radius (r):
[tex]\implies \sf Area\:of\:triangle=\dfrac{\sqrt{3}}{4}r^2[/tex]
To find the area of the sector, first convert degrees to radians by multiplying the degrees by π/180 :
[tex]\implies 60^{\circ}=60 \times \dfrac{ \pi}{180}=\dfrac{\pi}{3}\:\:\sf radians[/tex]
Area of a sector of a circle
[tex]\textsf{A}=\dfrac12 r^2 \theta \quad \textsf{(where r is the radius and the angle }\theta \textsf{ is in radians)}[/tex]
Substituting the angle in radians, the area of the sector is:
[tex]\implies \sf A=\dfrac{1}{2}r^2\left(\dfrac{\pi}{3}\right)[/tex]
[tex]\implies \sf A=\dfrac{\pi}6}r^2[/tex]
Area of the unshaded region:
[tex]\begin{aligned}\textsf{Area of unshaded region} & =\textsf{Area of sector} - \textsf{Area of triangle}\\\\& = \dfrac{\pi}{6}r^2 - \dfrac{\sqrt{3}}{4}r^2\\\\& = r^2\left(\dfrac{\pi}{6}- \dfrac{\sqrt{3}}{4}\right)\end{aligned}[/tex]
Therefore, the solution is option D.
A radioactive substance decays exponentially. A scientist begins with 110 milligrams of a radioactive substance. After 20 hours, 55 mg of the substance remains. How many milligrams will remain after 26 hours
Answer:
44.7 mg
Step-by-step explanation:
The equation for exponential decay can be written in the form ...
y = a·b^(t/p)
where 'a' is the initial value, 'b' is the decay factor, 'p' is the period over which the decay factor is applicable, and t is time in the same units as p.
SetupUsing the above equation, we have ...
a = initial value = 110 mg
b = decay factor = 55/110 = 1/2 over time period p=20 hours
Then the equation is ...
y = 110·(1/2)^(t/20) . . . . amount remaining after t hours
SolutionWe want the amount remaining after 26 hours. That will be ...
y = 110·(1/2)^(26/20) ≈ 44.67
About 44.7 milligrams will remain after 26 hours.
The new video came console was priced at $400 when it was released last year. This year, the price decreased by 15% during the holiday sale period. The game manufacturer recently announced that the same console will be re-release with new updates and expanded functionality. The retail price will be 25%greater then the previous sale price . When the game concise is re-released whatcwill be the retail price?
A) 360
B)425
C)380
D415
Answer:
B
Step-by-step explanation:
15% off means 85 % of original price
400 * .85 now increase this price by 25%
400* .85 * 1.25 = $425
A spherical ball of wax with a radius of 8 inches is melted and poured into a container shaped like a rectangular prism with a 14 inch x 16 inch base. What is the height of the melted wax in the new shape
It is expected the height of the melted wax in this shape is 9.57 inches, this height would make the volume remain constant.
What is the volume of the spherical ball?The volume of a sphere can be calculated using the formula V = 4/3 πr³. Let's use this formula to calculate the volume of the spherical ball of wax:
V = 4/3 π8³ V = 4/3 π 512V= 4/3 x 3.1416 x 512 V =2144.66 cubic inchesWhat is the height of the new shape?Considering the volume should be the same (2144.66 cubic inches) and the volume of this shape can be calculated by multiplying the sides, this would be the equation:
2144.66 = 14 x 16 x y ( unknown value)y= 2144.66 / 14 x 16y = 9.57This means the height would be 9.57 inches.
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For the equation y = -2/5 x + 2, explain what x -values would be best to choose for making a table of ordered pairs. Be sure to explain why.
The x values to make a suitable ordered pair must be a multiple of 5
How to determine the best x values?The function is given as:
y = -2/5x + 2
The slope of the above equation is:
m = -2/5
The above is a fraction with a denominator of 5.
So, the x values to make a suitable ordered pair must also be a multiple of 5
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how do u multiply 1x100000000000000000000000000000??
By using mind ig -,-
Hope Helpful ~
The power of the algebraic expression
7xy + 3xy² - x³y² + 4 is
The power of the algebraic expression 7xy + 3xy² - x³y² + 4 is 1.
How to estimate the power of algebraic expression?An expression that denotes repeated multiplication of the exact factor exists named a power. The number 5 stands named the base, and the number 2 exists named the exponent. The exponent equals the number of times the base exists utilized as a factor.
Given: 7xy + 3xy² - x³y² + 4
An expression that represents repeated multiplication of the same factor is called a power.
So, the power of the given expression will be 1.
Therefore, the correct answer is 1.
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For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1? f (x) = startfraction 2 x superscript m baseline over x a endfraction
Using the concept of vertical and horizontal asymptotes, it is found that the function will have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1 for a = -1 and m = 1.
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.In this problem, the function is:
[tex]f(x) = \frac{2x^m}{x + a}[/tex]
It has a vertical asymptote at x = 1, hence:
x + a = 0
1 + a = 0
a = -1
It has a horizontal asymptote at y = 2, hence:
[tex]\lim_{x \rightarrow \infty} f(x) = 2[/tex]
[tex]\lim_{x \rightarrow \infty} \frac{2x^m}{x + a} = 2[/tex]
[tex]\lim_{x \rightarrow \infty} \frac{2x^m}{x} = 2[/tex]
[tex]2^{m-1} = 2[/tex]
Then, since we want to simplify, the exponents at the numerator and the denominator have to be equal, hence m = 1.
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Six pyramids are shown inside of a cube. The height of the cube is h units. Six identical square pyramids can fill the same volume as a cube with the same base. If the height of the cube is h units, what is true about the height of each pyramid
The height of squared pyramid is [tex]\frac{1}{3}h[/tex] unit.
What is the volume of a cube?A cube is a solid three-dimensional object with six square faces or sides, three of which meet at each vertex. One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges.
Volume of cube [tex]= (side)^3 \ unit^3[/tex]
Given the height of cube is [tex]h[/tex] unit.
Volume of cube is [tex]h^3 \ unit^3[/tex]
Let the height of squared pyramid is [tex]x[/tex] unit
Volume of squared pyramid is [tex]\frac{1}{3} h^{2} \times x \ unit^3[/tex]
According to the question, we have
Volume of cube = [tex]6 \times[/tex] volume of squared pyramid
[tex]\Rightarrow h^3=6 \times \frac{1}{3}h^2 \times x\\\Rightarrow h^3=2 \ h^2 \times x\\\Rightarrow h=2x\\\Rightarrow x= \frac{1}{2}h[/tex]
Therefore, the height of squared pyramid is [tex]\frac{1}{3}h[/tex] unit.
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Can you please find x?
Answer:
x=7
Step-by-step explanation:
The angle of a straight line is 180 degrees, so let's just say the other angle to the right of 15x+34 is "a" that means that 15x + 34 + A = 180, and since the sum of interior angles of a triangle is 180 degrees, that means that 29 + A + 12x + 26 = 180, and we can define A using this equation in terms of x.
Original equation (sum of interior angles)
A + 29 + 12x + 26 = 180
Combine like terms
A + 12x + 55 = 180
Subtract 12x and 55 from both sides
A = -12x + 125
Original equation (since a line is 180 degrees)
15x + 34 + A = 180
Substitute -12x + 125 as A
15x + 34 + (-12x + 125) = 180
Combine like terms
3x + 159 = 180
Subtract 159 from both sides
3x = 21
Divide both sides by 3
x = 7
Your professor selects three students from your Stats class to form a study team. How many study teams are possible from a class of 30 students
Total number of teams are 10
Linear EquationAn equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation is one that includes a variable, such as x.
As given in the problem,
total number of students in class=30
now professor want to create study teams .
one team consist of 3 members,
lets suppose professor will form n teams
So,
3×n=30
solve this equation to get value of n
n=30÷3
n=10 teams
hence total number of teams are 10 .
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Which ordered pair is a solution to the equation 2x − 3y = 1?
The ordered pair that is a solution to the equation 2x − 3y = 1 is; (2, 1)
How to find the solution that is an ordered pair?
We are given the equation;
2x - 3y = 1
Now, the ordered pair that is a solution simply means the least whole numbers for x and y that will make the equation valid.
Now, since the coefficient before x is bigger than the coefficient before y which is negative, then it means x must be larger than y. Thus, let us try x = 2 and y = 1 to get;
2(2) - 3(1) = 1
This makes the equation valid.
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