A free market is one where voluntary exchange and the laws of supply and demand provide the sole basis for the economic system, without government intervention. A key feature of free markets is the absence of coerced (forced) transactions or conditions on transactions.
What is the length of the missing leg? if necessary, round to the nearest tenth.
don't know please clue question not written well
Which represents the inverse of the function f(x) =4x?
Let's see
Let y=f(x)
y=4xIntechange x and y
x=4yFind y
y=x/4The inverse is y=x/4
Graphs attached
Answer:
[tex]\sf f^{-1}(x)=\dfrac{x}{4}[/tex]
Step-by-step explanation:
The inverse of a function is the reflection of the function in the line y = x
To find the inverse of a function:
Set the function to y:
⇒ y = 4x
Make x the subject:
[tex]\sf \implies x=\dfrac{y}{4}[/tex]
Change x to [tex]\sf f^{-1}(x)[/tex] and y to x:
[tex]\sf \implies f^{-1}(x)=\dfrac{x}{4}[/tex]
Which transformation is not a rigid motion?
A. Rotating a triangle around the origin.
B. Reflecting a triangle over the yaxis.
C. Translating a triangle down.
D. Dilating a triangle.
Answer:
B. po
Step-by-step explanation:
reflection a triangle over the yaxis.
In Lin's drawing, the scale is 5 inches = 8 feet, and the back wall of the lab measures
15 inches. Five computer workstations will be equally spaced along the entire
length of that wall. Each workstation measures 4 feet by 4 feet. How far apart are
the workstations in Lin's drawing? Explain.
Answer:
1 ft
Step-by-step explanation:
scale: 5 in. = 8 ft
Back wall scale measurement: 15 in.
Back wall real measurement: 15 in. × 8 ft / 5 in. = 24 ft
Each workstation measures 4 ft.
5 workstations measure 5 × 4 ft = 20 ft
24 ft - 20 ft = 4 ft
When you place 5 workstations, the outer two will be at the ends of the 24-ft wall. There will be 4 spaces between the workstations.
4 ft / 4 = 1 ft
Answer: 1 ft
Help me with 2 please and thank you
Answer:
See below
Step-by-step explanation:
The terms that can be used to best describe the relationship between 60 degree angle and the angle labelled y degree is:
Vertically opposite angles.Equal angles.Angles equating to 60 degree.Since vertically opposite angles are equal, y° = 60°.
[tex]\rule[225]{225}{2}[/tex]
Answer:
Vertical angles
Step-by-step explanation:
The 60° angle and the angle marked y° are vertical angles. Vertical angles are equal. They are formed by two lines crossing (intersecting lines) I like to think of them like a pair of scissors, opening and closing! The angles get bigger or smaller together. The angle marked x° and the unmarked angle are another pair of vertical angles.
What’s the circumference to this problem?
Answer:
The formula to get the circumference of a circle is [tex]C=2*\pi * r[/tex]. We can then input the value and we get that [tex]C=2*\pi*4[/tex] and as we solve it more the final answer that we get is [tex]C=25.133[/tex].
Hope this helps! Let me know if you have any questions
What is the slope of the line represented by the equation f(x)=3/2x- 4
Answer:
3/2
Step-by-step explanation:
it's the slope because it's before x.
misleading graph. help me how to make brand A popular than brand B
Answer:
use a scale that starts at 0
Step-by-step explanation:
The graph is misleading because the vertical scale does not start at zero.
__
To better represent the brand relationship, the vertical axis should start at zero. The amounts differ by less than 1/2%, so the bars on that scale would appear to have virtually identical heights.
Select the graph of the equation below.
y= 3 over 2 x²+4x-2
NEED ASAP PLS HELP ILL MARK BRAINLIEST IF CORRECT
(06.02 MC)
A line is drawn on a scatter plot, as shown below:
Which statement best describes the line?
(A) It can be the line of best fit because it shows a positive linear association between x and y.
(B) It can be the line of best fit because it closely fits the data points.
(C) It cannot be the line of best fit because it does not pass through all the data points.
(D) It cannot be the line of best fit because it shows a negative linear association.
Answer:
B
Step-by-step explanation:
NEED HELP ASAP!!! 50 POINTS Match the following items by evaluating the expression for x = -6.
x^-2
x^-1
x^0
x^1
x^2
Answer:
x^-2 = 1/36
x^-1 = 1/6
x^0 = 1
x^1 = -6
x^2 = 36
#1
(-6)^-21/(-6)²1/36#2
(-6)^(-1)1/(-6)#3
x^0(-6)⁰1#4
(-6)¹(-6)#5
(-6)²36How do you solve pythagorean theorem??
Full Explanation
Will Mark Brainlist
Pythagoras theorem is a formula that helps us determine the missing side of a triangle, with the measure of two sides, given.
The Pythagoras theorem formula is expressed as:
[tex](\small\text{Hypotenuse})^{2} = (\small\text{side}_{1} )^{2} + (\small\text{side}_{2} )^{2}[/tex]
Now, let us take an example to understand the concept better.
Example:A triangle with longest side given as 15 centimeters. The base of the triangle has a length of 9 centimeters. What is the measure of the height?
Solution:We are given the following:
Longest side (hypotenuse of the triangle) = 15 cm Base of the triangle (Not the longest side) = 9 cmWhen we plug the hypotenuse and the base, in the formula, we get;
⇒ 15² = 9² + (side₂)²Subtract 9² on both sides of the equation to isolate (side₂)².
⇒ 15² = 9² + (side₂)²⇒ 15² - 9² = 9² + (side₂)² - 9²We can use the rule [a² - b² = (a - b)(a + b)] to simplify the L.H.S
⇒ (15 - 9)(15 + 9) = (side₂)²⇒ (6)(24) = (side₂)²⇒ 144 = (side₂)²Now, take square root on both sides of the equation to determine the measure of the missing side (height of triangle).
⇒ √144 = √(side₂)²⇒ 12 = side₂Therefore, the measure of the height is 12 centimeters.
Learn more about Pythagoras theorem: https://brainly.com/question/343682
if jane has 3 pars and take 3 pars how many pars would she had left
Answer:
0 pars
Step-by-step explanation:
3-3=0
...........factor the expression using the gcf 25+50
Answer:
25(1+2)
Step-by-step explanation:
25 goes into 25 once and 50 twice.
Pls help me with them I will give brainilist
Answer:
All integers are rational numbers .
Step-by-step explanation:
please mark as branliest
What are the characteristics of the function f(x) = 2(x-4)5?
O A. It is a reflection and a translation to the right of the parent
function.
O B. Both ends of the graph of the function go up.
I C. The left end of the graph of the function goes down, and the right
end goes up.
O D. It has 4 zeros and at most 5 relative maximums or minimums.
E. It has 5 zeros and at most 4 relative maximums or minimums.
OF. It is a vertical stretch and a translation to the right of the parent
function.
Answer:
Step-by-step explanation:
Answer: Options F, E, C.
Given : function f(x)=2(x-4)^5.
To find : What are the characteristics of the function .
Solution : We have given that f(x)=2(x - 4)^5.
By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.
Since , Option F is correct.
It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.
Option E is also correct.
By transformation rule it is vertical stretch and shift to right (B )
Therefore, Option F , E , C are characteristics of the function .
Mr castle shares out 32 marbles between emily and zak in the ratio of 3:1. how much marbles does each child get?
Answer:
Emily=24 marbles Zak=8 marbles
Step-by-step explanation:
sum of ratio= 3+1=4
Emily: Zak= 3:1
no. of marbles for Emily= [tex]\frac{no. of ratio}{sum of ratio}[/tex]×total no. of marbles
= [tex]\frac{3}{4}[/tex]×32
=24 marbles
No. of marbles for Zak= [tex]\frac{1}{4}[/tex]×32
=8 marbles
It’s confusing on how they worded it to me
You're looking for the equation of the line through the two yellow points, whose coordinates are (4, 0) and (8, 9).
Compute the slope:
(9 - 0) / (8 - 4) = 9/4
Using the point-slope formula, the equation of the line is
y - 0 = 9/4 (x - 4)
or
y = 9x/4 - 9
Which expression is equivalent to 50E(n(41+3))?
n=1
Answer:
its D
Step-by-step explanation:
equivalent of 50En-1+n(4n+3))is4{50(50+1)(2×60+1)+3{50(51)_2}
In a recent survey, 8 people were each asked the number of times they have been on an airplane. Here is a list of the responses.
9, 21, 7, 11, 13, 21, 5, 14
Find the range of the data set.
Answer: The range of the data set is: " 16 " .
______
Explanation:
The range is calculated by subtracting the lowest value in the given data set from the highest value in the data set.
______
Given: The data set: 9, 21, 7, 11, 13, 21, 5, 14 ;
Let us organize these numbers from lowest value to highest value:
" 5, 7, 9, 11, 13, 14, 21, 21 " ;
Note: This is done by inspection. Note that all eight (8) values are accounted for.
So, we subtract the lowest value in our given data set: "5" ;
from the highest value in our given data set: "21" ; to get the "range":
→ " 21 − 5 = 16 " ;
______
The range is: " 16 " .
______
Hope this is helpful! Best wishes!
A
B
21
48°
6x-24
D
[?] << <[ ]
11
C
The shape in the figure is a composite shape with two triangles, and the inequality is 4 < x < 12
How to determine the range of value of x?In the given figure, the side lengths AB and AD are equivalent.
This means that, we have the following angle relationship:
CAD < CAB
Substitute known values
6x - 24 < 48
Add 24 to both sides
6x < 72
Divide both sides by 6
x < 12
Also, we have the following angle relationship:
CAD > 0
Substitute known values
6x - 24 > 0
Add 24 to both sides
6x < 24
Divide both sides by 6
x < 4
This means that:
x < 4 and x < 12
Combine both inequalities
4 < x < 12
Hence, the inequality is 4 < x < 12
Read more about triangles at:
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Juan can type 27 words in 9 minutes.
What is his rate in words per minute?
words per minute?
Answer:
3 words per minute
Step-by-step explanation: First you divide 9 by 9 to get one then you divide 27 by nine to get 3 simple
Answer:
y=3
Step-by-step explanation:
27=y x 9
27/9= y x 9/9
3=y
3words x9minutes =27words in 9 minutes 3 words a minute.
I used y because x would look tacky next to another x
Make a box and whisker plot of the data. 20,23,28,14,13,24,18,11
Population size: 8
Median: 19
Minimum: 11
Maximum: 28
First quartile: 13.25
Third quartile: 23.75
Interquartile Range: 10.5
Outliers: none
- Attached image is the box and whisker plot
The rectangular room shown 20 feet long, 48 feet wide, and 10 feet tall. Use the Pythagorean Theorem to find the distance from A to C and the distance from A to B. Round to the nearest tenth, if necessary.
(Only really need A to B though)
Find the volume for this figure. Use 3.14 for (pie)
A)1,656 mm
B) 1,092 mm
C) 1,250 mm
D) 1,800 mm
Answer:
the andswer there is D
Step-by-step explanation:
just think of it as a cylinder and a square
put both circular parts together and you have a cylinder with the diameter of 12 and a height of 7 and find the volume of that which is πr²h so π 6² 7
then the volume of your rectangular prism is the length times width times height so 12 by 12 by 7
Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?
7 inches
11 inches
15 inches
5 inches
Please Help!
The width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.
What is a cuboid?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
Volume of the box = l×w×h
150 = l×w×h
h = 2 in
l = 10+w
150 = (10+w)(w)(2)
150 = 2w(10+w)
After solving, we get:
w = 5 or w = -15
Width cannot be negative.
w = 5 in
Thus, the width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.
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John bought 4 pounds of hot dogs for his party.
How many ounces of hot dogs did John buy?
Answer:
64 Ounces
Step-by-step explanation:
64 Ounces of hot dogs
Answer:
64 oz
Step-by-step explanation:
1 lb = 16 oz
4 × 1 lb = 4 × 16 oz = 64 oz
What is the value of x?
Enter your answer in the box.
x = ?
Answer:
x = 26
Step-by-step explanation:
Answer:
26 degrees
Step-by-step explanation:
The small square symbol on the upper left of the line represents a 90-degree angle.
90 - 64 = 26 degrees
CAN SOMEONE HELP ME PLS
Answer:
9.2
Step-by-step explanation:
Find the coordinates and plug em into the equation. (-5,5) (1,-2)
Square root 85 is 9.2.
Answer:
9.2 (if rounded to the nearest tenth)
An animal shelter had 45 animals adopted over one week. The ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.
Select the diagrams that would represent the types of animals adopted.
How many of each type of animals were adopted?
There are total 15 dogs, 27 cats, and 3 ferrets were adopted if the ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
An animal shelter had 45 animals adopted over one week. The ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.
Combine ratio dogs:ferrets:cats = 5:1:9
Let's suppose the number of ferrets is x then:
5x + x + 9x = 45
15x = 45
x = 3
Ferrets x = 3
Dogs = 5x = 5(3) = 15
Cats = 9x = 9(3) = 27
Thus, there are total 15 dogs, 27 cats, and 3 ferrets were adopted if the ratio of dogs to ferrets was 5:1. The ratio of cats to dogs was 9:5.
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