Answer: The Function of g(x) = k[f(x)] = k |x|
Following these rules we can define a vertical stretch or compression of any function.
Step-by-step explanation:
When a function of absolute values, f, is stretched or contracted vertically,
Define f(x) :
f(x) is the value of the function. m is the slope of the line. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane. x is the value of the x-coordinate.
Define g(x) :
The function g (x) is called an inner function and the function f (x) is called an outer function.
When the vertical component of a function f(x) = |x| is increased by a factor k,
g(x) = k[f(x)] = k |x|
where k > 1,
If the same function is compressed vertically by a factor k,
g(x) = k[f(x)] = k |x|
where 0 < k < 1,
Following these rules we can define a vertical stretch or compression of any function.
Learn more about event correlation here: brainly.com/question/14196196
#SPJ9
if keiths Baseball game this year, the ratio of times he has gotten on base to the times he has been at bat is 4/14. select 3 ratios that are equivalent to 4/14
The three equivalent ratios to 4/14 are:
b) 2/7c) 8/28d) 6/21.What is an equivalent ratio?Equivalent ratios are ratios having the same proportion to each other when they are put in their simplest forms.
Ratios are how much a variable is in relation to the whole. Ratios are the same as proportions or portions of the whole variable
Ratios can be shown as decimals, fractions, percentages, or with the ratio sign (:).
Data and Calculations:For instance, 2/5 = 0.4 or 40%
2/7 = 4/14 (2 x 2/7) or 0.2857
8/28 = 4/14 (4/14 x 2) or 0.2857
6/21 = 4/14 (4/14 ÷ 2 x 3) or 0.2857
3/4 = 0.75
Thus, the three equivalent ratios to 4/14 are b) 2/7, c) 8/28, and d) 6/21.
Learn more about equivalent ratios at https://brainly.com/question/2328454
#SPJ1
Question Completion:a) 2/5
b) 2/7
c) 8/28
d) 6/21
e) 3/4
The recipe for beef stew calls for 1/4 teaspoon of pepper for every 3 potatoes. If 9 potatoes are used, how much pepper is needed?
Solve the proportion StartFraction one-fourth over 3 EndFraction = StartFraction p over 9 EndFraction to answer the question. Explain your steps.
Answer:3/4 teaspoons Trust me it is correct
The number of teaspoons of pepper required for beef is ( 3 / 4).
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that the recipe for beef stew calls for 1/4 teaspoon of pepper for every 3 potatoes the number of teaspoons required for 9 potatoes will be calculated as below:-
3 potatoes = ( 1 / 4 ) teaspoon
1 potato = ( 1 / 12 ) teaspoon
9 potatoes = 9 / 12 teaspoon
9 potatoes = 3 / 4 teaspoon
Therefore, the number of teaspoons of pepper required for beef is ( 3 / 4).
To know more about an expression follow
https://brainly.com/question/17059283
#SPJ1
(-4c³d)²
someone answer this asap i’ll make it the brainiest please
1.
Solve the Decimal Division Application. Round to the nearest tenth if needed.
There is approximately 0.16 square inches in 1 square centimeter. Determine
how many square centimeters are in 64 square inches.
40,000 square centimeters
10.2 square centimeters
400 square centimeters
4,000 square centimeters
Answer:
c, 400
Step-by-step explanation:
64 square in. = 412.902 square cm
412.902 rounded equals 400
hope that helps <3
larger of two numbers is 13 more than twice the smaller number. the sum of the numbers is 52. find each number
Answer:
13 and 39
Step-by-step explanation:
let the smaller number be n then the larger number is 2n + 13 , so
n + 2n + 13 = 52
3n + 13 = 52 ( subtract 13 from both sides )
3n = 39 ( divide both sides by 3 )
n = 13
2n + 13 = 2(13) + 13 = 26 + 13 = 39
then smaller number is 13 and larger number is 39
IM SURE THIS IS EASY FOR ANYONE WHO KNOWS MATH AND I NEED HELP ASAP LOL
•Answer the question and write out an equation that will go with the problem:
Lance is an air-fighter pilot. He has to log 20 hours in the air during the work week and 10 hours over the weekend in order to keep his license. Over the last week, he logged 5 hours on each of the following days: Monday, Thursday, and Friday. The other two days he logged 5 hours together. Did me make his quota for the work week?
Answer:
Nope. 5x3=15 +5=20 20+10=30 so no he didn't.
Step-by-step explanation:
Bye bye license
Which expression is the completely factored form of x³ + 8y6 ?
O (x+2y²) (x² - 2xy² + 4y¹)
○ (x+2y²) (x² + 4yª)
○ (x+2y²)³
(x − 2y²) (x² + 2xy² + 4y¹)
-
Attached is the Correct Answer Please verify yours.
[tex](x + 2 {y}^{2} )( {x}^{2} - 2x {y}^{2} + 4 {y}^{4} )[/tex]
what is the linear equation that has a y-intercept of -4 and a x-intercept of -5
The linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4
Equation of a lineThe equation of a line in slope intercept form is expressed y = mx + b
where
m is the slope
b is the y-intercept
Given the coordinate points (0, -4) and (-5, 0), the slope is calculated as:
Slope = y₂-y₁/x₂-x₁
Slope = 4/-5
Slope = -4/5
Determine the equation
y = -4/5x + (-4)
y = -4/5x - 4
Hence the linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4
Learn more on equation of a line here; https://brainly.com/question/18831322
#SPJ1
Solve for x: −7 < x − 1 < 8 (1 point)
6 < x < 9
−6 > x > 9
6 > x > −9
−6 < x < 9
The value of x in the inequality is: D. -6 < x < 9
How to Solve an Inequality?Given the inequality, −7 < x − 1 < 8, solve for the possible values of x as shown below:
−7 < x − 1
Add 1 to both sides
-7 + 1 < x - 1 + 1
-6 < x
or
x − 1 < 8
Add 1 to both sides
x - 1 + 1 < 8 + 1
x < 9
Combining both inequalities together, the value of x is: D. -6 < x < 9
Learn more about inequality on:
https://brainly.com/question/11613554
#SPJ1
Answer:
98 Glass pitchers.
Step-by-step explanation:
You can determine this is the answer due to multiplying the sum and the product together, making the final answer 98 Glass pitchers. Hope this helped! :D
Find an equation of the line that has a slope of 5 and a
y
-intercept of
(
0
,
8
)
. Write your answer in the form
y
=
m
x
+
b
.
The breadth of the rectangular garden is 2
3
of its length. If its perimeter is 40 cm, what are its
dimensions.
Answer:
Length = 12cm
Width = 8cm
Step-by-step explanation:
Let the length be x
Let the width be 2/3x
Perimeter = 2 (l+b)
Length = 2 (x+2/3x) = 40
= x + 2/3x = 40/2
= x + 2/3x = 20
= x/1 + 2/3x = 20
LCM = 3
= 3x + 2x = 20
______
3
= 3x + 2x = 20 x 3
= 5x = 60
= x = 60/5
= x = 12
Width = 2/3 of 12
= 2/3 × 12
= 8
Whats the value for w?
Hey there!
|6w - 18| = 12
You can say:
|6w - 18| = 12
6w - 18 = 12 or 6w - 18 = -12
First let’s solve for: 6w - 18 = 12
6w - 18 = 12
ADD 18 to BOTH SIDES
6w - 18 + 18 = 12 + 18
SIMPLIFY IT!
6w = 12 + 18
6w = 30
DIVIDE 6 to BOTH SIDES
6w/6 = 30/6
SIMPLIFY IT!
w = 30/6
w = 5
Second let’s solve for: 6w - 18 = -12
6w - 18 = -12
ADD 18 to BOTH SIDES
6w - 18 + 18 = -12 + 18
SIMPLIFY IT!
6w = -12 + 18
6w = 6
DIVIDE 6 to BOTH SIDES
6w/6 = 6/6
SIMPLIFY IT!
w = 6/6
w = 1
Therefore, your answer should be:
w = 5 or w = 1
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
PLEASE HELP
The length of a bacterial cell is about 3 x 10−6 m, and the length of an amoeba cell is about 4.5 x 10−4 m. How many times smaller is the bacterial cell than the amoeba cell? Write the final answer in scientific notation with the correct number of significant digits.
2 x 102
2 x 103
0.7 x 101
6.67 x 102
The amount of times that the the bacterial cell is smaller than the amoeba cell is; 150 times
How to use law of indices?
Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base.
We are given;
Length of a bacterial cell = 3 * 10⁻⁶ m
Length of an amoeba cell = 4.5 * 10⁻⁴ m
Thus, to get the amount of times that the bacterial cell is smaller than the amoeba cell, we need to convert the Length of a bacterial cell to have same exponent as that of the Length of an amoeba cell before dividing.
Thus;
Length of a bacterial cell = 3 * 10⁻⁶ m
Length of an amoeba cell = 450 * 10⁻⁶ m
Thus, the amount of times that the the bacterial cell is smaller than the amoeba cell is;
(450 * 10⁻⁶)/(3 * 10⁻⁶) = 150 times
Read more about Laws of Indices at; https://brainly.com/question/15361818
#SPJ1
Refer to the number line. Find the coordinate of point C that’s is 7/8 of the distance from M to J
Answer:
C = 16
Step-by-step explanation:
Given point M=2 and J=18 on a number line, you want the coordinate of point C that is 7/8 of the distance from M to J.
DistanceThe distance from M to J is the difference of their coordinates:
J -M = 18 -2 = 16
7/8 of that distance is ...
(7/8)(16) = 7(16/8) = 7(2) = 14
You are being asked for the coordinate of the point that is 14 units from M in the direction of J.
PointTo find the coordinate of C, we add the desired distance to the coordinate of M:
C = M +14
C = 2 +14 = 16
The coordinate of point C is 16.
Difference between the two sets
[tex] \\ \\ [/tex]
Let A = {1, 2, 3, 4, 5, 6, 7} B = {1, 3, 5, 7, 9} C = {0, 2, 4, 6, 10} Find the difference of the given pair of sets.
1.) A - B
2.) B - A
3.) (A ∪ B) - C
Answer:
1) A - B = {2, 4, 6}
2) B - A = {9}
3) (A ∪ B) - C = {1, 3, 5, 7, 9}
Step-by-step explanation:
Set Notation
[tex]\begin{array}{|c|c|l|} \cline{1-3} \sf Symbol & \sf N\:\!ame & \sf Meaning \\\cline{1-3} \{ \: \} & \sf Set & \sf A\:collection\:of\:elements\\\cline{1-3} \cup & \sf Union & \sf A \cup B=elements\:in\:A\:or\:B\:(or\:both)}\\\cline{1-3} \cap & \sf Intersection & \sf A \cap B=elements\: in \:both\: A \:and \:B} \\\cline{1-3} \sf ' \:or\: ^c & \sf Complement & \sf A'=elements\: not\: in\: A \\\cline{1-3} \sf - & \sf Difference & \sf A-B=elements \:in \:A \:but\: not\: in \:B}\\\cline{1-3} \end{array}[/tex]
Given sets:
A = {1, 2, 3, 4, 5, 6, 7}B = {1, 3, 5, 7, 9}C = {0, 2, 4, 6, 10}Question 1
[tex]\begin{aligned}\sf A-B & =\sf \{ 1, 2, 3, 4, 5, 6, 7 \} - \{1, 3, 5, 7, 9 \}\\& =\sf \{ 2, 4, 6 \}\end{aligned}[/tex]
Question 2
[tex]\begin{aligned}\sf B-A & =\sf \{1, 3, 5, 7, 9 \} - \{ 1, 2, 3, 4, 5, 6, 7 \}\\& =\sf \{9 \}\end{aligned}[/tex]
Question 3
[tex]\begin{aligned}\sf (A \cup B)-C & =\sf \left(\{ 1, 2, 3, 4, 5, 6, 7 \} \cup \{1, 3, 5, 7, 9 \} \right) - \{0, 2, 4, 6, 10 \}\\& =\sf \{ 1, 2, 3, 4, 5, 6, 7, 9 \} - \{0, 2, 4, 6, 10 \}\\& = \sf \{ 1, 3, 5, 7, 9 \}\end{aligned}[/tex]
Learn more about set notation here:
https://brainly.com/question/28356437
https://brainly.com/question/28353607
Let f(x)=12(4)x−1. Evaluate f(3)
Answer: f(3)=143
Step-by-step explanation:
f(x)=12(4)x−1
f(x)=48x−1
f(3)=48(3)−1
f(3)=144−1
f(3)=143
Which expression are equivalent to X+2y+x+2
A)2(x+y+1)
B)2x+4y+4
C)none of the above
A toy manufacturer wants to see how long, on average, a new toy captures children's attention. He tests 16 children selected at random and finds that their mean attention span is 33 minutes with a standard deviation of 4 minutes. If we assume that attention spans are normally distributed, find a 95% confidence interval for the mean attention span of children playing with this new toy. Give the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
Lower Limit:
Upper Limit:
Using the t-distribution, the limits of the 95% confidence interval are given as follows:
Lower: 30.9.Upper: 35.1.What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 16 - 1 = 15 df, is t = 2.1315.
The other parameters are given as follows:
[tex]\overline{x} = 33, s = 4, n = 16[/tex]
Hence the bounds of the interval are given as follos:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 33 - 2.1315\frac{4}{\sqrt{16}} = 30.9[/tex][tex]\overline{x} + t\frac{s}{\sqrt{n}} = 33 + 2.1315\frac{4}{\sqrt{16}} = 35.1[/tex]Which are the lower and the upper bound, respectively.
More can be learned about the t-distribution at https://brainly.com/question/16162795
#SPJ1
how far would the plane fly in 3 hours? in 3.5 hours?
4x-2y=20 x+y=-1
ayuda!!!!es urgente!!!!!!!!!
Answer:
Step-by-step explanation:
The function F(x) = −0.005x 2 + 0.8x + 12 models the relationship between a certain vehicle’s speed and the fuel economy, where F(x) is the fuel economy in kilometres per litre and x is the speed of the vehicle in kilometre per hour.
a) Determine the average rate of change in the fuel economy in the interval of speed [60,80].
b) b) Interpret your result.
The average rate of change in the fuel economy in the interval of speed [60,80] is 0.1
The given function F(x) = −0.005x 2 + 0.8x + 12 models the relationship between a certain vehicle’s speed and the fuel economy
where F(x)= fuel economy in kmpl
x =speed of the vehicle in km/h
we need to find the average rate of change in the fuel economy in the interval of speed [60,80].
At speed 60 km/h
the fuel economy = - 0.005(60²) + 0.8(60) +12
= - 18 + 48 + 12
= 42 kmpl
At speed 80 km/h
the fuel economy = - 0.005(80²) + 0.8(80) +12
= - 32 + 64 + 12
= 44 kmpl
the average rate of change is given by the formula = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
By substituting the values we get= [tex]\frac{44- 42}{80-60}[/tex]
= 2/ 20
= 0.1
Hence, The average rate of change in the fuel economy in the interval of speed [60,80] is 0.1 which reflects that for increase in every one kilometer there is increase in fuel economy by 0.1
To know more about Average rate of change - https://brainly.com/question/23715190
#SPJ1
use whole numbers and decimals to write 19.06 in expanded form
Answer:
19 + 0.06
taking out the whole number leaves you with 0.06
or you could do 10 + 9 +0.06
if you want to split it up more
The expanded form of the number 19.06 is 1×10 + 9×1 + 0/10 + 6/100.
What are the standard form and expanded form of numbers?Numerology can be expressed in a variety of ways. Word form is a means of expressing numbers verbally. Numbers can be written in expanded form by indicating the value of each digit. The digits 0 through 9 are used to write numerals in standard form, and each digit has a place value.
Given, A number in a decimal form which is 19.06.
This can be written as,
1×10¹ + 9×10⁰ + 0/10¹ + 6/10².
1×10 + 9×1 + 0/10 + 6/100.
Each digit has a face value and a place value.
learn more about the expanded form of numbers here :
https://brainly.com/question/14294215
#SPJ2
During an experiment, the temperature of a mixture changes from 12 1/4°F to 15 3/5°F. What is the percent of the increase in the temperature of the mixture? I need an answer to the as a percent rounded to the nearest hundredth.
During the experiment the temperature changes slightly. Hence
the percentage increase in the temperature of the mixture is 27.35%.
Given, the temperature of the mixture changes from 12 1/4°F to 15 3/5°F
we are asked to determine the percentage of increase in the temperature of the mixture.
Initial temperature = 12 1/4°F
convert it into proper fraction.
= 48+1/4
= 49/4°F
Final temperature = 15 3/5°F
convert it into proper fraction.
= 75+3/5
= 78/5
Therefore, percentage increase:
= Final temp - Initial temp/Initial temp × 100
% Increase = (78/5 - 49/4)/49/4 × 100
% Increase = (78×4 - 49×5/5×4)/49/4 × 100
% Increase = 312-245/5×49 × 100
as 4 gets cancelled from numerator and denominator.
% Increase = 67×100/249
% Increase = 6700/249
% Increase = 27.346%
we need to round it off to the nearest hundredth.
% Increase = 27.35%
Hence the percentage increase in the temperature is 27.35%.
Learn more about Temperature here:
brainly.com/question/25677592
#SPJ1
The ages in years of 21 people in a swimming pool are displayed in the stem-and-leaf plot. Determine the median age of people in the pool.
0123456201614434285574697888
median =
years (Do not round)
The median is 16.
What is the median?A stem-and-leaf plot is a table that is similar to a histogram. A stem-and-leaf plot divides a number into a stem and a leaf. The stem is the first number in the digit while the leaf is the last number. For example in the number 21, 2 would be the stem and 1 would be the leaf.
Median can be described as the number that occurs in the middle of a data set that is arranged either in ascending or descending order.
The median of 21 numbers would be the 11th number. The 11th number is 16.
Please find attached the complete question. To learn more about median, please check: https://brainly.com/question/14746682
#SPJ1
Ellen's living room is 5 meters wide and 7 meters long. She wants to install indigo carpet that costs $10.00 per square meter. How much will it cost to buy enough carpet for the living room?
It will cost $350.00 to buy enough carpet for the living room.
What is an area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of the three-dimensional object.
Now it is given that,
Length of room,l =
Width of room, w =
So, area of the room = l*w = 7*5
⇒ area of the room = 35 square meter
Since, indigo carpet costs $10.00 per square meter
Thus, total cost to install the carpet = area of the room*carpet costs
⇒ total cost to install the carpet = 35*10
⇒ total cost to install the carpet = $350
Thus, It will cost $350.00 to buy enough carpet for the living room.
To learn more about area :
https://brainly.com/question/8929571
#SPJ1
The reciprocal of 2/19 is
(Type an integer or a fraction.)
Answer:
-19/2
Step-by-step explanation:
If you want the reciprocal you need to change the sign to the opposite and flip the numbers.
Which of the following represents an INEFFICIENT point of production?
a. Point A
b. Point B
c. Point D
d. None
e. Point C
The point that represents an INEFFICIENT point of production is point A.
The correct answer is an option (a)
In this question we have been given a graph of Skateboards vs. Bikes.
We need to find the point that represents an INEFFICIENT point of production.
Inefficient production means the economy can be producing more goods without using any additional resources.
In given production possibility curve, an INEFFICIENT point of production is point A.
Therefore, the point that represents an INEFFICIENT point of production is point A.
The correct answer is an option (a)
Learn more about Inefficient point of production at:
https://brainly.com/question/8103430
#SPJ1
Three times the number m plus five equals fourteen.
Answer:3
Step-by-step explanation:
3m+5=14
-5
3m=9
m=3
Angle Z and Angle X on intersecting lines are vertical angles. If Angle Z is 63°, what is Angle X?
The measure of angles X if Angle Z and Angle X on intersecting lines are vertical angles is 63 degrees
Vertical anglesVertical angles are a pair of opposite angles formed by intersecting lines. In vertical angles, the angles meet at point X.
Given the following parameters
angle Z = 63degrees
If the angleZ and angle X are vertical angles, hence <X = <Z
Therefore;
<X = 63 degrees
Hence the measure of angles X if Angle Z and Angle X on intersecting lines are vertical angles is 63 degrees
Learn more on vertical angles here: https://brainly.com/question/11419447
#SPJ1
Se desea estimar el ingreso familiar medio de los padres de familia de un barrio
de Arequipa con un error no exceda a 10 nuevos soles. ¿Qué tamaño, como
mínimo, debe tener la muestra para que la media sea estimada con una precisión
del 95%, si se sabe que la desviación estándar de los salarios mensuales es de 50
nuevos soles?
Using the z-distribution, it is found that a sample size of 97 is required.
What is a z-distribution confidence interval?The confidence interval is as follows:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error is given by the following rule:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.For this problem, considering a margin of error of 10, the parameters are given by:
[tex]M = 10, \sigma = 50[/tex]
The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
Then we take the margin of error equation and solve for n as follows:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]10 = 1.96\frac{50}{\sqrt{n}}[/tex]
[tex]10\sqrt{n} = 50 \times 1.96[/tex]
[tex]\sqrt{n} = 5 \times 1.96[/tex]
[tex](\sqrt{n})^2 = (5 \times 1.96)^2[/tex]
n = 96.04
Rounding up, as a sample size of 96 results in M > 10, we have that:
A sample size of 97 is required.
More can be learned about the z-distribution at https://brainly.com/question/25890103
#SPJ1
