Answer:
sometimes
Step-by-step explanation:
There are several ways that dilation is used in real life. Here are several:
In graphic design. I actually do some graphic design, and I use dilation a lot. It is common to dilate photos to fit the space that you want it to fit.
In police work and crime investigation. Detectives and police dilate photos to see smaller details and evidence.
In architecture. It is normal for architects to make a prototype of their design or building. In order to make the building true to the prototype, they must dilate the scale and measurements.
In the doctor's office. Dilation is used in eye exams so that the eye doctor can view the patient's eye better. After a while it will slowly reduce in size and return back to normal.
Find the linear function represented by the graph.
The slope of the line is
.
The y-intercept of the line is at
.
What linear function is represented by the graph?
Step-by-step explanation:
photo please ......................
Answer:
Step-by-step explanation:
need to see the graph
there are 24 baseball teams in a league
each team plays two matches against each of the other teams
work out the total number of matches played
Answer: 125
Step-by-step explanation:
The total number of matches played is 552.
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
The given parameters are as;
Teams = 24
Matches against each other = 2
Therefore, the total number of matches played is;
Total = Teams * (Teams - 1)
This gives;
Total = 24 * (24 - 1)
Evaluate;
Total = 552
Hence, the total number of matches played is 552.
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Does the ordered pair (3, 5) make the inequality x−3>2y true or false?
Answer:
Step-by-step explanation:
first let : x = 3 and y = 5
so x-3 means 3-3 = 0
and 2y means 2 * 3 = 6
therfore x-3 > 2y means 0 > 6, false
Find the functions and their domains. (enter the domains in interval notation.) f(x) = x 1 x , g(x) = x 14 x 2
Functions and their domains of all the subparts are:
(A) (fog)(x) and the domain is [tex](-\infty, \infty)[/tex].(B) (gof)(X) and the domain is [tex](-\infty, \infty)[/tex].(C) (fof)(x) and the domain is [tex](-\infty, \infty)[/tex].(D) (gog)(x) and the domain is [tex](-\infty, \infty)[/tex].What are functions?A function is an expression, rule, or law in mathematics that defines a relationship between a dependent thing (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.So,
(A) (fog)(x) and domain:
[tex](f \circ g)(x)=f(g(x))=(g(x))^2+g(x)=\left(x^2+14 x+2\right)^2+x^2+14 x+2\\=x^4+28 x^3+200 x^2+56 x+4+x^2+14 x+2=x^4+28 x^3+201 x^2+70 x+6[/tex]
The domain of (fog)(x) is the collection of domain values for g(x) with range values in the domain of f(x).
Because both functions are polynomials, the domain is [tex](-\infty, \infty)[/tex].
(b) (gof)(X) and domain:
[tex](g \circ f)(x)=g(f(x))=(f(x))^2+14(f(x))+2=\left(x^2+x\right)^2+14\left(x^2+x\right)+2\\=x^4+2 x^3+x^2+14 x^2+14 x+2=x^4+2 x^3+15 x^2+14 x+2[/tex]
The domain name is [tex](-\infty, \infty)[/tex] because this is a polynomial composition.
(c) (fof)(x) and domain:
[tex]\begin{aligned}&(f \circ f)(x)=f(f(x))=(f(x))^2+f(x)= \\&\left(x^2+x\right)^2+x^2+x=x^4+2 x^3+x^2+x^2+x=x^4+2 x^3+2 x^2+x\end{aligned}[/tex]
Because this is a polynomial composition, the domain is [tex](-\infty, \infty)[/tex].
(d) (gog)(x) and domain:
[tex](g \circ g)(x)=g(g(x))=(g(x))^2+14(g(x))+2=\left(x^2+14 x+2\right)^2+14\left(x^2+14 x+2\right)+2\\=x^4+28 x^3+200 x^2+56 x+4+14 x^2+196 x+28+2=x^4+28 x^3+214 x^2+252 x[/tex]
Because this is a polynomial composition, the domain is [tex](-\infty, \infty)[/tex].
Therefore, functions and their domains of all the subparts are:
(A) (fog)(x) and the domain is [tex](-\infty, \infty)[/tex].(B) (gof)(X) and the domain is [tex](-\infty, \infty)[/tex].(C) (fof)(x) and the domain is [tex](-\infty, \infty)[/tex].(D) (gog)(x) and the domain is [tex](-\infty, \infty)[/tex].Know more about functions here:
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The complete question is given below:
Find the functions and their domains. (enter the domains in interval notation.)
[tex]f(x)=x^2+1 x, g(x)=x^2+14 x+2[/tex]
(a) (fog)(x) and domain
(b) (gof)(X) and domain
(c) (fof)(x) and domain
(d) (gog)(x) and domain
Sara divided up her dessert among her family. She gave her daughter 1/8 of the dessert, her son 1/4 of the
dessert, and her husband 3/8 of the dessert. How much of the dessert was left for Sara?
Answer:
¹/₄
Step-by-step explanation:
Given:
Daughter = 1/8 of the dessert.Son = 1/4 of the dessert.Husband = 3/8 of the dessert.The dessert is the "whole", i.e. equal to 1.
To find how much of the dessert was left, subtract all the given portions from 1:
[tex]\begin{aligned}\textsf{Dessert left for Sara} & = 1-\dfrac{1}{8}-\dfrac{1}{4}-\dfrac{3}{8}\\\\& = \dfrac{8}{8}-\dfrac{1}{8}-\dfrac{2}{8}-\dfrac{3}{8}\\\\& = \dfrac{8-1-2-3}{8}\\\\& = \dfrac{2}{8}\\\\& = \dfrac{1}{4}\end{aligned}[/tex]
Therefore, ¹/₄ of the dessert was left for Sara.
Answer:
2/8 (or) 1/4
Step-by-step explanation:
The amount of desert she served is,
→ 1/8 + 1/4 + 3/8
→ (1 + 2 + 3)/8
→ 6/8
Then amount of desert left for Sara is,
→ 1/1 - 6/8
→ (8 - 6)/8
→ 2/8 (or) 1/4
Hence, she was left with 2/8 of desert.
this is so in the morning & i need these answers!! :\
What is the solution set for the equation l3x + 2 = 5?
Answer:--------X=3/13---------
Step-by-step explanation:
How do you calculate the X and Y coordinates of the vertex when the equation is in standard form?
If the quadratic is y = a*x^2 + b*x + c
the coordinates of the vertex are:
x = -b/2a
y = (1/2a)*( -0.5*b^2 + c)
How to find the coordinates of the vertex?For a quadratic equation in standard form:
y = a*x^2 + b*x + c
The x-value of the vertex is given as:
x = -b/2a
Once we get the x-value of the vertex, we can get the y-value by evaluating the quadratic equation in x = -b/2a, we will get:
y = a*(-b/2a)^2 + b*(-b/2a) + c
y = b^2/(4a) - b^2/2a + c = (1/2a)*(b^2/2 - b^2 + c)
y = (1/2a)*( -0.5*b^2 + c)
Then the coordinates of the vertex are:
x = -b/2a
y = (1/2a)*( -0.5*b^2 + c)
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Find the surface area and volume of the solid. Round each measure to the nearest tenth, if necessary
The surface area and the volume of the triangular prism are 26.88 square cm and 7.68 cubic cm.
What is a triangular prism?When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.
It is given that:
The triangular prism is given in the picture:
The surface area = 4x2 + 2x2.4 + 3.2x2 + 2(1/2)3.2x2.4
The surface area = 8 + 4.8 + 6.4 + 7.68
The surface area = 26.88 square cm
The volume = (1/2)x3.2x2x2.4
The volume 7.68 cubic cm
Thus, the surface area and the volume of the triangular prism are 26.88 square cm and 7.68 cubic cm.
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A is 50% acid sulotion. And B is an 80% sulotion determin how much of each sulotion he need to create 200 ml of 68% sulotion
Solving a system of equations we can see that we need to use 120 ml of the 80% solution, and the other 80ml are of the 50% solution.
How much of each we should mix?
Let's define the variables:
x = ml of A solution used.y = ml of B solution used.We know that we want to make 200ml, then:
x + y = 200
And the concentration of these 200ml must be of 68%, then the concentrations in the left side and in the rigth side must give the same value, so we can write:
x*0.5 + y*0.8 = 200*0.68
(the concentrations are written in decimal form)
Then we have the system of equations:
x + y = 200
x*0.5 + y*0.8 = 200*0.68
To solve it we start by isolating x in the first equation:
x = 200 - y
Replacing that in the other equation we get:
(200 - y)*0.5 + y*0.8 = 200*0.68
Now we can solve this for y, we will get:
100 - y*0.5 + y*0.8 = 136
y*0.3 = 136 - 100 = 36
y = 36/0.3 = 120
So we need to use 120 ml of the 80% solution, and the other 80ml are of the 50% solution.
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Describe and correct the error in using the diagram to find the value of x
Step-by-step explanation:
It's simple in the following diagram ( 13x + 45)° + (19x +3)° won't be equal to 180° as they are vertically opposite angle...... and are vertically opposite to each other...
So to find the value of x :
13x + 45° = 19x + 3°
13x - 19x = 3 - 45
-6x = - 42
x = -42 / -6
x = 7°
☘☘☘...
Please help me out with 3 questions..
Each part of the question is plotted on the number line as an image with the solution.
How are rational numbers represented on the number line?
On the number line, rational numbers could be represented. Origin refers to the numeric line's center (O). The illustration of rational numbers shows positive numbers here on the right side of zero, or the origin, and negative numbers on the left. Depending on the kind of fraction, rational numbers are represented differently on the number line.(1) [tex]\frac{-3}{8} , 1\frac{1}{5} = \frac{6}{5} = 1.2 , \frac{-3}{4}[/tex] are plotted on the number line as an image with the solution.
(2) -13+15+(-8) = -6 is plotted on the number line as an image with the solution.
(3) [tex]\frac{3-(-14)}{7} = \frac{17}{7} = 2.429, \frac{-36+58}{-11} = -2[/tex] are plotted on the number line as an image with the solution.
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Select the graph of the solution. Click until the correct graph appears.
|x| < 4
Answer:
Image 2: a segment from -4 to 4 with the endpoints excluded (with empty circles).
Step-by-step explanation:
|x| < 4 means "the distance from x to 0 is less than 4". That means that any number bigger than -4 and smaller than 4 matches the inequality from the question.
Side note: Please start analyzing the absolute values as "distance from 0" and you'll be able to solve those questions yourself with less effort.
Police stop every fifth car at a sobriety checkpoint.
Answer:
20%
Step-by-step explanation:
Every fifth car would be 1/5 or 20%
When adding 7 to -15 using a number line, which direction would you move on the number line from -15?
Answer: To the right
Step-by-step explanation:
The negatives on a number line are on the left side and the positives on the right.
Step-by-step explanation: educated guess
2. Write an algebraic equation and solve it
There are 70 passengers on a bus. At a bus stop, m passengers got off. There (2 passengers left. How many passengers got off the bus?
Enter the numerator and denominator of the fraction in simplest form that is equal to the decimal number shown.
0.8 repeating
Answer:
4/5
Step-by-step explanation:
8/10
=4/5
Answer:
8/9!!
all credit goes entirely to the person in comments for giving us all the right answer.
Given the following list of values, is the mean or the median likely to be a better measure of the center of the data set? 26, 29, 27, 28, 29, 27, 27, 53, 25, 29
The mean of the data is 30 and the median of the data is 27.5.
What are the mean and median?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data. The mean of the data will be calculated by adding all the numbers and dividing it by the quantity of the numbers.
The median of the data generally refers to the middle most value of the series. The median of the data is calculated by arranging the numbers in increasing order and getting the middle value of the numbers.
Given data is 26, 29, 27, 28, 29, 27, 27, 53, 25, 29 arrange all the numbers in increasing order.
25,26,27,27,27,28,29,29,29,53
Mean = Sum of all the numbers / Total numbers
Mean = (25 + 26 + 27 + 27 + 27 + 28 + 29 + 29 + 29 + 53 ) / 10
Mean = 300 / 10
Mean = 30
Median = ( 27 + 28 ) / 2 = 27.5
Therefore, the mean of the data is 30 and the median of the data is 27.5.
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Dorothy earns a regular hourly rate of $15.25 and earns double time and a half for weekend work. Dorothy worked her normal 40 hours and 8 weekend hours.
Answer:$976
Step-by-step explanation:
can someone help me answer these? im really confused and have a quiz on it tomorrow.. thank you so much!!
Answer:
Domain: [tex]x > -5[/tex] or [tex](-5,\infty)[/tex]
Range: [tex]y\geq -3[/tex] or [tex][-3,\infty)[/tex]
Step-by-step explanation:
The domain is essentially the set of x-values in a given graph. In this graph. we see that the lowest x-value is an unfilled dot when x=-5. The unfilled dot means that the function [tex]f(x)[/tex] doesn't include -5. We then see that the x-value goes to positive infinity. This means that [tex]x[/tex] must be greater than -5. It is not greater or equal to -5 because the dot is not filled.
Therefore, we have that [tex]x > -5[/tex]. To convert to interval notation we can take the lower value (-5) and put it on the left side and put the higher value ([tex]\infty[/tex]) and put it on the right side. Since the graph doesn't include -5, we can put parentheses around both values to get [tex](-5,\infty)[/tex].
Note: We always put parentheses around both [tex]\infty[/tex] and [tex]-\infty[/tex].
The range is basically the same as the domain but with the y-value. We can see that the lowest y-value is y=-3. This includes -3 since the line fills the point in. Then we see that the highest y-value is once again positive infinity. This means that [tex]y\geq-3[/tex].
Now when we convert to interval notation, we have -3 and [tex]\infty[/tex]. This time since y=-3 is included in the function, we put a hard bracket around -3. Thus, we get [tex][-3,\infty)[/tex].
Hope this helps!
which linear inequality will have a solution of (0,0)
a. y<-2x
b. y<-3x+4
c. y>-2x+6
d. y>-3x
The linear inequality will have a solution of (0,0) is y<-2x and y>-3x.
Option (A) and (D) is correct.
What is inequality?
The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given:
Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. These values could be numerical or algebraic or a combination of both.
According to given question we have
a. y<-2x
To put the value of x any y (0,0) we get
=0<-2*0
=0<0
b. y<-3x+4
To put the value of x any y (0,0) we get
=0<-3*0+4
=0<0+4
=0<4
c. y>-2x+6
To put the value of x any y (0,0) we get
=0>-2*0+6
=0>0+6
=0>6
d. y>-3x
To put the value of x any y (0,0) we get
=0>-3*0
=0>0
Therefore, the linear inequality will have a solution of (0,0) is y<-2x and y>-3x.
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63) Julia has 1/3 many stamps as Robert and also 2/3
as many stamps as
Erin. If Erin has 36 stamps, what is the total number of stamps that
the 3 children have?
Answer: The total number of stamps is 132.
Step-by-step explanation:
We know that Erin has 36 stamps.
Given that information, we can calculate how many stamps Julia has which is 2/3 as many stamps as Erin.
2/3 * 36 = 24
Julia has 24 stamps.
Julia also has 1/3 as many stamps as Robert.
24 = 1/3 * Robert
Robert = 72 stamps
Add the three numbers together to get your final answer
24 + 72 + 36 = 132
Let f(x)=2x^2-9x-5 and g(x)=x-5. what are (f•g)(x) and (f/g)(x)?
The values of the composite functions are (f.g)(x) = 2x^3 - 19x^2 + 40x + 25 and (f/g)(x) = 2x + 1
How to evaluate the composite functions?The functions are given as:
f(x) = 2x^2 - 9x - 5
g(x) = x - 5
The composite function (f.g)(x) is calculated as
(f.g)(x) = f(x) * g(x)
This gives
(f.g)(x) = (2x^2 - 9x - 5) * (x - 5)
Evaluate the product
(f.g)(x) = 2x^3 - 9x^2 - 5x - 10x^2 + 45x + 25
Evaluate the like terms
(f.g)(x) = 2x^3 - 19x^2 + 40x + 25
The composite function (f/g)(x) is calculated as
(f/g)(x) = f(x)/g(x)
This gives
(f/g)(x) = (2x^2 - 9x - 5)/(x - 5)
Factorize the numerator
(f/g)(x) = (2x + 1)(x - 5)/(x - 5)
Evaluate the quotient
(f/g)(x) = 2x + 1
Hence, the values of the composite functions are (f.g)(x) = 2x^3 - 19x^2 + 40x + 25 and (f/g)(x) = 2x + 1
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Suppose the graph of y=x^2 is shifted left 6 units. Complete the modified equation: y=
Please help me
The modified equation is expressed as g(x) = x^2 - 6
Translation of coordinateTranslation is the process of changing the position on an x-plane.
Given the function of a graph expressed as y=x^2
If the function is shifted 6 units to the left, hence the resulting function is given as;
g(x) = x^2 - 6
Hence the modified equation is expressed as g(x) = x^2 - 6
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complete the square: (x-7)^2 = 8
Quadratic equations are all those equations that can be reformulated in a standard format (αx² + bx + c(=0) where the value of x is unknown and the values of the coefficients (a, b and c) are unknown.
These equations can always be solved using the quadratic formula, although sometimes it is also possible to use factorization or isolation of variables.
[tex]\large\displaystyle\text{$\begin{gathered}\sf (x-7)^{2}=8 \end{gathered}$}[/tex]Expand squared
[tex]\large\displaystyle\text{$\begin{gathered}\sf (x-7)(x-7)=8 \end{gathered}$}[/tex]It is distributed
[tex]\large\displaystyle\text{$\begin{gathered}\sf x(x-7)-7(x-7)=8 \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf x^{2} -7x-7(x-7)=8 \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf x^{2} -7x-7x+49=8 \end{gathered}$}[/tex]Combine like terms.
[tex]\large\displaystyle\text{$\begin{gathered}\sf x^{2} -14x+49=8 \end{gathered}$}[/tex]Move terms to the left
[tex]\large\displaystyle\text{$\begin{gathered}\sf x^{2} +14x+49-8=0 \end{gathered}$}[/tex]Subtract the numbers
[tex]\large\displaystyle\text{$\begin{gathered}\sf x^{2} -14x+41=0 \end{gathered}$}[/tex]Use the quadratic formula.
[tex]\large\displaystyle\text{$\begin{gathered}\sf x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a} \end{gathered}$}[/tex]
In standard form we identify "a", "b" and "c" from the original equation and add to the quadratic formula.
a = 1b = -14c = 41[tex]\large\displaystyle\text{$\begin{gathered}\sf x=\frac{-(-14)\pm\sqrt{(-14)^{2}-4\cdot1\cdot41 } }{2\cdot1} \end{gathered}$}[/tex]
Simplify
Calculate the exponentmultiply the numbersSubtract the numbersCalculate the square rootmultiply the numbersWe multiply the numbers[tex]\large\displaystyle\text{$\begin{gathered}\sf x=\frac{14\pm4\sqrt{2} }{2} \end{gathered}$}[/tex]
Separate equations
To solve for the unknown variants, we split the equation into two: one with a plus sign and the other with a minus sign.
[tex]\large\displaystyle\text{$\begin{gathered}\sf x=\frac{14+4\sqrt{2} }{2} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf x=\frac{14-4\sqrt{2} }{2} \end{gathered}$}[/tex]
Solve
Order and isolate the variant to find each solution.
[tex]\large\displaystyle\text{$\begin{gathered}\sf x=7+2\sqrt{2} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x=7-2\sqrt{2} \end{gathered}$}[/tex]
[tex]\red{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\blue{Answer \ \ \longmapsto \ \ x=7\pm2\sqrt{2} }} \end{gathered}$}}}[/tex]
Learn more at:https://brainly.com/question/22842654Skandarwhat is 6x7(8-0)3+5=
Answer:
1013
Step-by-step explanation:
(6)(7)(8−0)(3)+5
=42(8−0)(3)+5
=(42)(8)(3)+5
=(336)(3)+5
=1008+5
=1013
b) Find the value of 2a2 + 5b2 when a = -6 and b = 2
Answer: -4 because 2(-6)2 = -24 and 5(2)2 = 20 so -24 + 20 is -4.
Answer:-4
Step-by-step explanation:
2(-6)2
2 x -6 x 2=-24
5 x 2 x 2=20
-24+20=-4
in 2018, the population density in singapore was 21,400 residents per square mile. what is the population density of singapore in residents per square kilometer? (note that 1 mi
The population density of Singapore in residents per square kilometer is 8266.12 per square kilometer
What is Population Density ?
The ability to compare settlement intensities across geographical areas is made possible by population density. The number of persons per square mile of land area is the most common way to express population density in the United States.The given parameters are
Number of people = 21400 residents
Area = 1 mi²
Convert the square mile to square kilometer
1 x 1.609² = 2.588881 Km²
Population density = Number of residents ÷ area
Population density = 21400 ÷ 2.588881
Population density = 8266.12 per square kilometer
Therefore, the population density of Singapore in residents per square kilometer is 8266.12 per square kilometer
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The volume, in cubic centimeters, of a fish tank is represented by the polynomial model V(x)=36x^2-3.75x^3. What is the maximum volume of the fish tank?
A. 384.00 cubic centimeters
B. 333.83 cubic centimeters
C. 472.85 cubic centimeters
D. 491.52 cubic centimeters
Answer:
D. 491.52
Step-by-step explanation:
Solve the simultaneous equation
-4x+3y=1
6x-y=2
Answer: x=0.5, y=1
Step-by-step explanation:
-4x+3y=1
6x-y=2
6x-2=y
-4x+3(6x-2)=1
-4x+18x-6=1
-4x+18x=7
14x=7
x=0.5
6x-y=2
6(0.5)-y=2
3-y=2
y=1
Let's change the equation,
→ 6x - y = 2
→ y = 6x - 2
Then the value of x will be,
→ -4x + 3y = 1
→ -4x + 3(6x - 2) = 1
→ -4x + 18x - 6 = 1
→ 14x = 1 + 6
→ x = 7/14
→ [ x = 1/2 ]
Hence, the value of x is 1/2 (or) 0.5.
Now the value of y will be,
→ y = 6x - 2
→ y = 6(1/2) - 2
→ y = 3 - 2
→ [ y = 1 ]
Hence, the value of y is 1.
