Answer:
8, 12, 16, 20
Step-by-step explanation:
those are the domains
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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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
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
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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What is the multiplicative inverse of -13/14
The multiplicative inverse of -13/14 as in the task content is; -14/13.
What is the multiplicative inverse of -13/14?The multiplicative inverse of a number x is given as; 1/x.
On this same note, it follows that since, the number whose multiplicative inverse is to be found is: -13/14, the multiplicative inverse is; -14/13.
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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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James sleeps for 8 hours in a day. what percentage of the day is james a. asleep b. awake
Step-by-step explanation:
asleep percentage :- ( 8h /24h ) 100 % = 33.33%
awake percentage :- ( 16h / 24h ) 100 % = 66.67%
A bicycle race follows a triangular course. The 3 legs of the race are, in order, 2.3 km, 5.9 km, 6.2 km. Find the angle between the starting leg and the finishing leg, to the nearest degree.
How did you get the answer?
Answer:
About 71.77 degrees
Step-by-step explanation:
The starting leg is 2.3 km and the finishing leg is 6.2 km.
Using the law of cosines C^2 = A^2 + B^2 -2AB*cos(c) where A = 2.3 km, B = 6.2 km, C = 5.9 km, and angle c is the opposite angle to side C, we get:
5.9^2 = 2.3^2 + 6.2^2 -2(2.3)(6.2)*cos(c)
cos(c) = -(5.9^2 - 2.3^2 - 6.2^2)/(2*2.3*6.2)
c = 71.77 degrees
Answer:
72°
Step-by-step explanation:
when we have all the sides and need an angle, we use the law of cosine (the extended Pythagoras) :
c² = a² + b² - 2ab×cos(C)
where c is the side opposite of the angle C.
so, since the starting leg is 2.3 km, and the finishing leg is 6.2 km, we know that 5.9 km is the side opposite of the angle between the starting and finishing legs.
so, we have
5.9² = 2.3² + 6.2² - 2×2.3×6.2×cos(C)
34.81 = 5.29 + 38.44 - 28.52×cos(C)
-8.92 = -28.52×cos(C)
cos(C) = -8.92/-28.52 = 0.312762973...
C = 71.77418076...° ≈ 72°
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?"
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]
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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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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Simplify this expression.
2√5 (13+√2)
O 2√65+2√10
O 2√5 +2√7
O26√65 +2√10
O 26√5 +2√10
Answer:
The solution for the expression is choice D 26√5 +2√10
Step-by-step explanation:
Hello!
First, apply distributive law: a(b+c)= ab+ac
2√5(13+√2) ....given expression 2√5.13 +2√5.√2...multiply the numbers2.13=26√5.√2=√1026√5 +2√10The 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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Which expression is equivalent to (x^6y^8)^3/x^2y^2
Answer:
x^7y^9
Step-by-step explanation:
Remembering the laws of indices and applying BODMAS
(x^6y^8)^3/x^2y^2
(x^6 * y^8)^3/x^2 * y^2
opening bracket
we get;
x^6+3 * y^8+3/x^2 * y^2
x^9 * y^11/x^2 * y^2
Applying law of indices at which when the values are the same during division we pick one coefficient and minus the power
therefore;
x^9-2 * y^11-2
x^7 * y^9
=x^7y^9
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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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
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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how do u multiply 1x100000000000000000000000000000??
By using mind ig -,-
Hope Helpful ~
Phan fills the tank of her car with gasoline before starting her road trip. The table below shows the amount of gas left in her tank as she drives.
Number of Hours vs. Amount Left in Tank
Number of Hours Spent Driving (h)
3
5
7
9
Amount of Gas Left in Tank, in gallons (g)
12
8
4
0
Which equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank?
g = 18 – 2h; 18 gallons
g = 18 – 2h; 16 gallons
g = 3h + 3; 30 gallons
g = 3h + 3; 12 gallon
The equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank is g = 3h + 3; 12 gallon
EquationNumber of hours = 3 hoursAmount of gas left = 12 gallonsCheck all equation
g = 18 – 2h; 18 gallons
= 18 - 2(3)
= 18 - 6
= 12
g = 18 – 2h; 16 gallons
= 18 - 2(3)
= 18 - 6
= 12
g = 3h + 3; 30 gallons
= 3(3) + 3
= 9 + 3
= 12
g = 3h + 3; 12 gallon
= 3(3) + 3
= 9 + 3
= 12
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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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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]
There are 752 cal in 8 ounces of a certain ice cream how many calories are there in 2 pounds
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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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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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.
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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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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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.