Option A is the correct answer.
The independent variable is the input variable and should be represented by the x-axis.
What is Variable?A variable is a symbol and placeholder for a quantity that may change, or any mathematical object. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.
For the Scatterplot, out of given options,
Option A is the correct option which represents The independent variable is the input variable and should be represented by the x-axis.
Thus, The independent variable is the input variable and should be represented by the x-axis.
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How do I solve this problem? It’s been awhile since I’ve done math
C=(2+y)h
solve for y
Answer:
y = C/h - 2
Step-by-step explanation:
Equation
C = (2 + y)*h
Solution
C = (2 + y)*h Divide by h
C/h = (2 + y)*h/h
C/h = 2 + y Subtract 2 from both sides
C/h-2 = 2-2+ y Combine
C/h - 2 = y
What is the scale factor from ABC to DEF?
A. 2
B. 1/2
C. 3
D. 1/3
Answer:
The scale factor is 3 C)as ABC = 3* DEF
AB = 5
DE = 15 = 5*3
AC = 3
DF = 9 = 3*3
BC = 4
EF = 12 = 4 * 3
considering the inequality -5x-4y<12 , the shaded area of its graph is described by
The shaded area for the inequality y > -3-(5/4)x is given below.
The inequality is the relation between two expressions showing the relationships such as greater than, lower than, greater than equals to, and lower than equals to.
The given inequality is -5x-4y<12
solving this inequality for y
-5x-4y<12
⇒ -4y<12+5x
⇒y > (12+5x)/(-4)
⇒y > -3-(5/4)x
the line y= -3-(5/4)x has y intersection at (0,-3) and x intersection at (-12/5,0).
The inequality y > -3-(5/4)x show that this will be above the straight line y = -3-(5/4)x as if we put (0,0) in the inequality, the inequality will be 0>-3 which is true that shows that the region contains (0,0).
Therefore the shaded area for the inequality y > -3-(5/4)x is given below.
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Add. State the sum in simplest form.
Answer:
[tex] \frac{ {3x}^{2} }{x + 5} + \frac{15x}{x + 5} [/tex]
[tex] \frac{3 {x}^{2} + 15x}{x + 5 } [/tex]
3x ( x + 5) /( x + 5).
3x, X is not equal to (-5)Part A: Write an inequality to represent the temperatures at which the gas in the truck will remain in liquid form
The expression that represents this inequality must relate both temperatures, then it would look like this: -40°F < x < 140°F.
How to write this situation with an inequality?To express this situation in an inequality we must include the temperature values. Additionally, we must include the greater than (>) or less than (<) symbols to relate the values.
According to the above, the expression would look like this:
-40°F < x < 140°FNote: This question is incomplete because some information is missing. Here is the information:
A truck driver is driving from Nome, Alaska to Death Valley, California. Because he is traveling between locations with extreme temperatures, he needs to check the weather continuously to make sure the gas in his truck remains in liquid form. The gas he uses freezes at −40° F and evaporates at 140° F.
Write an inequality to represent the temperatures at which the gas in the truck will remain in liquid form.
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Solve the inequality
Which function is the inverse of f(x)=1/2x+5?
In Triangle XYZ, XZ = XY and m∠Y=57°. The longest side of the triangle is ______.
YZ
XZ
XY
Both XZ and XY
Answer:
I think YZ 'cause the triangle is iscoceles triangle. As the two sides XY and XZ are equal the longest side is YZ.
Please SHOW THE WORK. How many miles are in 10 kilometers?
A city has a population of 1300. If the city’s population grows 30%, what is its new population?
Answer:
1699
Step-by-step explanation:
30/100*13000
Then add answer with 1300
eg 1300+399
I hope this explanation helps you.Also You can follow me.
PLEASE HELP
Natalie invests $6,680 in a savings account with an interest rate of 2% compounded continuously.
How long will it take for the account balance to reach $8,838.51?
The time it will take the money to reach $8,838.51 is 14years
Compound interestThe formula for calculating compound interest is expressed as:
A = P(1+r)^t
where
P = $6,680
A = $8,838.51?
r = 2% = 0.02
Substitute and calculate the time 't"
8,838.51 = 6680(1+0.02)^t
1.3231 = 1.02^t
t = ln1.3231/ln1.02
t = 14years
Hence the time it will take the money to reach $8,838.51 is 14years
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Select the correct answer from each drop-down menu.
Consider the function Ax) = 3x+ 1 and the graph of the function g(x) shown below.
Answer:
write three methods of writing set. Give one example of each methods.
Recently, a random sample of 2534 year olds was asked, "How much do you currently have in savings, not including retirement savings?" The data in the table represent the responses to the survey. Approximate the mean and standard deviation amount of savings.
Savings Lower Limit Upper Limit Frequency
0-199 0 199 345
200-399 200 399 97
400-599 400 599 52
600-799 600 799 21
800-999 800 999 9
1000-1199 1000 1199 8
1200-1399 1200 1399 3
The approximations of the mean and the standard deviation are 233.3 and 229.82, respectively
How to determine the mean?The table of values is given as:
Savings Lower Limit Upper Limit Frequency
0-199 0 199 345
200-399 200 399 97
400-599 400 599 52
600-799 600 799 21
800-999 800 999 9
1000-1199 1000 1199 8
1200-1399 1200 1399 3
Rewrite the table to include the class midpoint and the frequency
x f
99.5 345
299.5 97
499.5 52
699.5 21
899.5 9
1099.5 8
1299.5 3
The mean is calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
So, we have:
[tex]\bar x = \frac{99.5* 345 + 299.5* 97 + 499.5* 52 + 699.5 * 21 + 899.5 * 9 + 1099.5 * 8 + 1299.5 * 3}{345 + 97 + 52 + 21 + 9 + 8 +3}[/tex]
Evaluate
[tex]\bar x = 233.331775701[/tex]
Approximate
[tex]\bar x = 233.3[/tex]
Hence, the approximation of the mean is 233.3
How to determine the standard deviation?The standard deviation is calculated as:
[tex]\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f}}[/tex]
So, we have:
[tex]\sigma= \sqrt{\frac{(99.5-233.3)^2* 345 + (299.5-233.3)^2* 97 +...... + (1299.5 -233.3)^2* 3}{345 + 97 + 52 + 21 + 9 + 8 +3}[/tex]
Evaluate
[tex]\sigma = 229.82[/tex]
Hence, the approximation of the standard deviation is 229.82
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Which is the domain and range of the parabola with the equation y = 0.5(x2 – 8x – 6)?
D: (–∞, ∞); R: (–∞, –11]
D: (–∞, ∞); R: [–11, ∞)
D: (–∞, –11]; R: (–∞, ∞)
D: [–11, ∞); R: (–∞, ∞)
Answer:
D: (–∞, ∞); R: [–11, ∞)
Step-by-step explanation:
The domain of a quadratic function is all real numbers, so eliminate the third and fourth options.
Also, since the coefficient of [tex]x^2[/tex] is positive, we know the graph opens up and thus has a minimum.
This means that the first option must be wrong since the range has a maximum, not a minimum.
Therefore, the correct answer is Option 2.
Answer:
D: (–∞, ∞); R: [–11, ∞)
Step-by-step explanation:
I honestly don't know the answer but the other person said this so I'm putting it as my answer ill update this answer when i find out if its right or not.
update I GOT A 100% woop woop
Question 4tiple Choice Worth 5 points)
(07.03 MC)
Circle A has center of (6, 7) and a radius of 4, and circle B has a center of (2, 4) and a radius of 16. What steps will help show that circle A is similar to circle B?
O Translate circle A using the rule (x+4y+3)
O Rotate circle A 45" about the center
O Dilate circle A by a scale factor of 4
O Reflect circle A about the origin
Answer:
Dilate circle A by a scale factor of 4.
Step-by-step explanation:
To show that two circles are similar, use transformations to map one to the other.
Step 1
Translate circle A so that its center is the same as circle B.
Center of circle A = (6, 7)Center of circle B = (2, 4)Translate circle A using the rule (x - 4, y - 3)
Step 2
Find the scale factor needed to dilate circle A to the size of circle B using the radii of the circles.
Radius of circle A = 4Radius of circle B = 16⇒ scale factor = 16 ÷ 4 = 4
Dilate circle A by a scale factor of 4.
Therefore, the only answer option that is correct is:
Dilate circle A by a scale factor of 4.
I need this answered fast pleasee
Suppose you and your friends form a band and you want to record a demo. Studio A rents for $75 plus $75 an hour and Studio B rents for $150 and $50 an hour. Let t = the number of hours and c = cost.
Part A Write a system of equations to represent the cost at each studio.
Part B Solve the system of equations from Part A. Explain your method.
Part C Explain what the solution to the system means in terms of where your band will rent a studio.
The descriptive answer of different part is described below.
What is Linear Equation?An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.
Here, Studio A rents for $75 plus $75 an hour .
Studio B rents for $150 and $50 an hour.
Let t = the number of hours and c = cost.
Part A
Studio A: c = 75 +75·t
Studio B: c = 150 +50·t
Part B
We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.
150 +50·t = 75 +75·t, subtract 75 and 50t from both sides
150 -75 = 75t -50t, combine likes terms
75 = 25t, divide both sides by 25
3 = t
Now we know that t = 3 so we find c by substituting t with 3 in the second equation.
c = 150 +50·t
c = 150 +50·3
c = 300
The solution of the system of equations is c = 300 and t = 3
Part C:
The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.
The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.
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Identify parallel and perpendicular lines
Parallel lines are those on a plane that do not intersect while perpendicular lines are those that intersect at an angle of 90°.
How are parallel and perpendicular lines different?Parallel lines will never intersect with each other and will maintain the same distance from each other for as long as they are on the same plane.
Perpendicular lines on the other hand will intersect each other and will do so at a 90° angle. An example of such a line is the steps on a ladder which intersect the beam at a 90° angle.
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(-3,-2) (x,6) m=-8/5 solve for x
Answer:
-8
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
-8/5=(6-(-2))/(x-(-3))
-8/5=(6+2)/(x+3)
-8/5=8/(x+3)
5=-(x+3)
5=-x-3
-x=5+3
-x=8
x=-8
if a= (-3 -9 -3 -4 -3 9 7 9 -10) and b= (9 1 6 3 -10 5 -1 9 -9) find -7A -4B?
Answer: Choice A
[tex]\begin{pmatrix}-15 & 59 & -3\\16 & 61 & -83\\-45 & -99 & 106\end{pmatrix}[/tex]
===========================================================
Explanation:
In matrix A, the upper left corner is -3
Multiply this with -7 to get -7*(-3) = 21
So we'll have 21 in the upper left corner of matrix -7A. The other entries will be handled in a similar fashion.
Meanwhile, the upper left corner of matrix B is 9. Multiply this with -4 to get 9(-4) = -36 which is the upper left corner entry of matrix -4B
Combine those products: 21 + (-36) = -15
The number -15 is the upper left corner entry in matrix -7A-4B
This points us to choice A as the final answer.
click on the attachment below and please help me with the question
The value of the length of the scaled up rectangle is 12.8 unit.
What is a Rectangle ?A rectangle is a polygon with four sides , the opposites are parallel and equal.
It is given in the figure that
A rectangle 4* 8 is scaled up and a new rectangle is formed α * 25.6
Scale factor = 25..6/8 =3.2
The value of the length therefore will be
4 * 3.2 = 12.8 unit
Therefore the value of the length of the scaled up rectangle is 12.8 unit.
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()
8
What is 11 - 2³?
Answer:
[tex]11 - 2 {}^{3} [/tex]
[tex]11 - 8[/tex]
[tex]3[/tex]
Given that the slope is 4 and (4, 6) is on the line. Write the equation of the line
in the slope-intercept
form
Answer:
y= 4x - 10
Step-by-step explanation:
y-6 = 4(x - 4)
y - 6 = 4x -16
+6. +6
y= 4x - 10
can someone please help me?!? 25 points
please write wether each one is a function or a growth rate!!!
Answer:
See below
Step-by-step explanation:
There are 52 weeks in a year, so divide t by 52
= 120 (1.016)^(t/52)
then the % for one week = 1.016^1/52 = 1.0003 = .03%
Find the domain and range of the function graphed below. Write your answers in interval notation.
Answer:
Domain: [tex][-2, 3)[/tex]Range: [tex](-5, 4][/tex]Is the relation a function? - YesStep-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
A relation is a function if each value of x maps onto no more than one value of y.
A triangular pyramid has a triangular base with height of 1.5 inches and base length of 4 inches, and height of 9 inches. What is the volume?
18 cubic inches
27 cubic inches
3 cubic inches
9 cubic inches
Answer:
V = 9 in^3
Step-by-step explanation
Comment
The formula for a Pyramid of any B is V = B * h / 3. You have to be able to calculate the Base or just be given in it.
In this case the Base is a triangle. So the first thing needed is the area of the base.
Base
Area_triangle = base length * height / 2
Neither the Base length nor the height need to be the same as the B and h used for the volume of the Pyramid
Givens
b = 4 inches
h = 1.5 inches
Area_triangle = 4 * 1.5 / 2
Area_triangle = 2 * 1.5
Area_triangle = 3 inches^2
Solution
Base (triangle) Area = 3
h = 9
V = B * h / 3
V = 3 * 9 / 3
V = 9 cubic inches
Answer V = 9 in^3
The average production cost for major movies is 57 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 17 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. What is the distribution of X ? X ~ N( , ) What is the distribution of ¯ x ? ¯ x ~ N( , ) For a single randomly selected movie, find the probability that this movie's production cost is between 55 and 58 million dollars. For the group of 17 movies, find the probability that the average production cost is between 55 and 58 million dollars. For part d), is the assumption of normal necessary? NoYes
Using the normal distribution, we have that:
The distribution of X is [tex]X \approx (57,22)[/tex].The distribution of [tex]\mathbf{\bar{X}}[/tex] is [tex]\bar{X} \approx (57, 5.3358)[/tex].0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem, the parameters are given as follows:
[tex]\mu = 57, \sigma = 22, n = 17, s = \frac{22}{\sqrt{17}} = 5.3358[/tex]
Hence:
The distribution of X is [tex]X \approx (57,22)[/tex].The distribution of [tex]\mathbf{\bar{X}}[/tex] is [tex]\bar{X} \approx (57, 5.3358)[/tex].The probabilities are the p-value of Z when X = 58 subtracted by the p-value of Z when X = 55, hence, for a single movie:
X = 58:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{58 - 57}{22}[/tex]
Z = 0.05.
Z = 0.05 has a p-value of 0.5199.
X = 55:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{55 - 57}{22}[/tex]
Z = -0.1.
Z = -0.1 has a p-value of 0.4602.
0.5199 - 0.4602 = 0.0597 = 5.97% probability that a single movie production cost is between 55 and 58 million dollars.
For the sample of 17 movies, we have that:
X = 58:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{58 - 57}{5.3358}[/tex]
Z = 0.19.
Z = 0.19 has a p-value of 0.5753.
X = 55:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{55 - 57}{5.3358}[/tex]
Z = -0.38.
Z = -0.38 has a p-value of 0.3520.
0.5753 - 0.3520 = 0.2233 = 22.33% probability that the average production cost of 17 movies is between 55 and 58 million dollars. Since the sample size is less than 30, assumption of normality is necessary.
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A graph displays point A (5, 3, 4) and point B (−4, 2, 6). Calculate the approximate distance each point is from the origin. Round to the nearest tenth. Which point is farther from the origin, and by how much?
Distance from the origin to the points ≈ 0.41.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²]
Point A (5, 3, 4) and point B (−4, 2, 6) are located away from the origin (0,0,0), and the points from the origin to this points are expressed as OB - OA where;
Let OB is the distance from the origin to the point B
Let OA is the distance from the origin to the point A
Using the formula for calculating the distance between two points;
OA = √(z2-z1)²+(y2-y1)²+(x2-x1)²
OA = √(4-0)²+(3-0)²+(5-0)²
OA = √(16)+(9)+(25)
OA = √50
OA = 7.071
Similarly;
OB = √(6-0)²+(2-0)²+(-4-0)²
OB = √(6)²+(2)²+(-4)²
OB = √36+4+16
OB = √56
OB = 7.4833
Distance from the origin to the points = 7.4833 - 7.071= 0.4123
Distance from the origin to the points ≈ 0.41
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correct function combinations to x2-7x-18
The factors of the function after factorization f(x)=[tex]x^{2} -7x-18[/tex] is (x+2) and (x-9)
Given Function f(x)=[tex]x^{2} -7x-18[/tex] and we have to find the factors of the given function.
The function whose factors are to be found is f(x)=[tex]x^{2} -7x-18[/tex]
Factorization means finding various expressions which when together multiplied will give the function itself. Correct combination can only be found by finding the factors of the function. Without finding factors no one can find the solution of an equation or expression also.
f(x)=[tex]x^{2} -9x+2x-18[/tex]
=x(x-9)+2(x-9)
=(x+2)(x-9)
Hence the factors which when combine together gives function f(x)=[tex]x^{2} -7x-18[/tex] are (x+2)(x-9).
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Cai drove 189 miles in 7 hours. If he continued at the same rate, how far would he
travel in 12 hours?
Mrs. Juergen's class is building a model city from craft sticks. each house requires 267 sticks. the class will build 93 houses. About how many sticks will be needed?