Using a linear function, we have that:
The percentage will be 47% during the year 2001.
The predicted percentage in 2005 is of 44.97%.
Given that, the percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995.
What is a linear function?Linear functions are those whose graph is a straight line. The standard form of the linear function is f(x)=y= mx + b. A linear function has one independent variable and one dependent variable.
Where, m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
b is the y-intercept, which is the value of y when x = 0 and can also be interpreted as the initial value of the function.
The percentage in 1980 is considered as the initial amount, so b = 58.8. In 15 years, the percentage decreased from 58.8% to 50.5%, hence the slope is given by: m = (50.5 - 58.8)/15 = 0.5533.
Thus, the percentage in t years after 1980 is P(t) = 58.8 - 0.5533t.
Now, t + 1980, for which P(t) = 47.
So, P(t) = 58.8 - 0.5533t
47 = 58.8 - 0.5533t.
0.5533t = 11.8.
t = 11.8/0.5533
t = 21.3.
1980 + 21 = 2001, so the percentage will be 47% during the year 2001.
Now, 2005 is 25 years after 1980, so the percentage is P(25), given as follows: P(25) = 58.8 - 0.5533x25 = 44.97%.
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Okay last question, I’ll mark brainliest whoever gets it correct first
Answer:
Angle ABC = 112°
Step-by-step explanation:
THAT IS CORRECT TRUST ME
The volume of the above solid is
Find the value of x for which m||n
Answer:
x = 61
Step-by-step explanation:
Alternate exterior angles must be congruent for the lines to be parallel.
3x - 43 = 2x + 18
x = 61
Determine the distance between two points. (9,-9) and (-6,-7)
whats the GCF of x^6 and x^4
Out of 2,000 high school seniors, 191 were enrolled into Honor Society.What percentage of the entire group of 2,000 seniors were in Honor Society?PLEASE EXPLAIN
A.0.955%
B.1.91%
C.9.55%
D.19.1%
Divide number in honor society by total students:
191/2000 = 0.0955
Multiply by 100 to get percent:
0.0955 x 100 = 9.55%
Answer is C. 9.55%
Solve -6 < 2x + 4 ≤ 16
Answer:
Step-by-step explanation:
Solve -6 < 2x + 4 ≤ 16
To solve for x, we need to simplify the statement.
let's get rid of the 4 that is added to 2x.
do that by subtracting 4 on all sides (3 sides).
-6 - 4 < 2x + 4 - 4 ≤ 16-4
We get: -10 < 2x ≤ 12
Now, let's get rid of the 2 that gets multiplied to x.
do that by dividing all sides by 2.
-10 : 2 < 2x : 2 ≤ 12 : 2
We get: -5 < x ≤ 6
X = {-4,-3,-2,-1,0,1,2,3,4,5,6}
Hope I helped!
what fraction is 2500 of 3600
Answer:
25/36
Step-by-step explanation:
put 2500 over 3600 and remove the 0's to simplify it
John can ride his bicycle at a rate of 14 miles per hour. Convert this rate to feet per second_
O 250.33 feet per second
Answer:
Step-by-step explanation:
Givens
r = 14 miles / hour
Problem
Convert to feet per second.
Solution
Later on, you will learn how to solve these kinds of conversion problems using a method called Unit Analysis. Since you likely have not been taught this method, will just use proportions.
1 mile = 5280 feet
14 miles = x Cross multiply
x = 14 * 5280 Simplify
x = 73920 feet
1 hour = 3600 seconds
Answer
r = 73920 feet / 3600 seconds
r = 20.533 feet / secpmd
Kylee is playing a game she has to receive more than 20 points average of five games to move onto the next level which inequality represents the situation is T represents the total number of points Kylee earned for five games
Answer:
25
Step-by-step explanation:
bc i guess
f of x is equal to 4x divided by the quantity of x minus 16 end quantity.
The zero of the equation is 0. Since degree of denominator is greater than degree of numerator, therefore, the horizontal asymptote is y=0
Asymptotes and zeros of a functionThe zero of the function is the point where the function is zero
Given the function below
f(x) = 4x/x-16
For the zeros
0 = 4x/x -16
4x = 0
x = 0
Hence the zero of the equation is 0
The vertical asymptote is the point where the denominator is zero
x - 16 = 0
x = 16
Since degree of denominator is greater than degree of numerator, therefore, the horizontal asymptote is y=0
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Given functions f ( x ) = 1 √ x and m ( x ) = x 2 − 4 , state the domains of the following functions using interval notation.
Domain of f ( x ) /m ( x ):
Domain of f ( m ( x ) ):
Domain of m(f(x)):
The domain of a function f(x)/m(x) = 1/√x(x² - 4) is (0, ∞) - {0, 2, -2} for other function is shown in the solution.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x) = 1/√x
m(x) = x² - 4
Domain of f(x)/m(x):
f(x)/m(x) = (1/√x)/(x² - 4)
f(x)/m(x) = 1/√x(x² - 4)
The denominator cannot be zero:
√x(x² - 4) ≠ 0
x(x - 2)(x+2) ≠ 0
x ≠ 0, 2, -2
and x > 0
Domain of f(x)/m(x) is: (0, ∞) - {0, 2, -2} or [tex]\:\left(0,\:2\right)\cup \left(2,\:\infty \:\right)[/tex]
Domain of f(m(x)):
f(m(x)) = 1/√(x² - 4)
x² - 4 > 0
Domain: [tex]\rm \left(-\infty \:,\:-2\right)\cup \left(2,\:\infty \:\right)[/tex]
Domain of m(f(x)):
= ((1/√x)² - 4)
Domain: [tex]\:\left(0,\:\infty \:\right)[/tex]
Thus, the domain of a function f(x)/m(x) = 1/√x(x² - 4) is (0, ∞) - {0, 2, -2} for other function is shown in the solution.
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how do i work this out?
She has 45% of the original amount left
Ratio and proportionsFractions are written as a ratio of two integers
Given the following
Initial amount. = ∈4000
Amount given to her sister = 1/4 * 4000 = 1000
Amount given to her brother = 40% of 3000 = 1200
Amount left = 4000 - (1000+1200)
Amount left = ∈1800
Determine the percentage left
x * 4000 = 1800
x = 1800/4000
x = 0.45
x = 45%
Hence she has 45% of the original amount left
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the height of a plant in centimeters is modeled as a function of time, in days. consider this graph of the function enter the average rate of change for the height of the plant measured in centimeters per day between day 0 and day 20
The average rate of change for the height of the plant measured in centimeters per day between day 0 and day 20 is 1.32 cm per day.
What is average height?The average height is the ratio of change in height of the plant and the time taken taken for that change.
Given is the height of a plant in centimeters is modeled as a function of time, in days.
For day 0, the height is 18cm and the height for day 20 is 42 cm, then the average height change is
height per day = 42 - 18/ 20 -0
height per day = 1.2 cm/day
Thus, the average height of plant is 1.2 cm/day.
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urgent help wanted/ needed
The equation in slope-intercept form is: y = -x + 5
The equation in point-slope form is: y - 3 = -1(x - 2)
How to Find the Equation of a Line in Point-Slope Form and Slope-intercept Form?Where (a, b) is a point on the line and m is the slope of the line, the equation in point-slope form for such line would be: y - b = m(x - a).Where b = y-intercept and m = slope, the slope-intercept form for the equation of the line is expressed as: y = mx + b.Slope (m) = rise/run = -(2/2) = -1
Y-intercept (b) = 5 (where the line intercepts the y-axis)
Using a point, (2, 3) = (a, b) and m = -1, the equation in point-slope form is:
y - 3 = -1(x - 2)
Rewrite in slope-intercept form:
y - 3 = -x + 2
y = -x + 2 + 3
y = -x + 5
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How does supply and demand affect consumers?
Supply and demand can help consumers make informed decisions about their purchases, anticipate price fluctuations, and stay up to date with market trends.
We have to give that,
To find supply and demand affect on consumers.
Supply and demand have a significant impact on consumers.
When the demand for a product or service is high and the supply is limited, it can lead to higher prices.
On the other hand, when there is high supply and low demand, prices tend to be lower.
For consumers, this means that when the demand for a product is high, they may have to pay more or face limited availability.
Conversely, when the demand is low, consumers may find discounted prices or special promotions.
Supply and demand dynamics also influence the choices available to consumers.
For example, if the demand for a particular type of product increases, companies may introduce new variations or brands to meet consumer preferences.
This can lead to a broader range of options for consumers to choose from.
In summary, understanding supply and demand can help consumers make informed decisions about their purchases, anticipate price fluctuations, and stay up to date with market trends.
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Match each value on the left with the number on the right that includes that value.
urgent question is below
i doooooooont knoooooooooooooooow iiiittttttttttttttttttttttt
Which expression is equivalent to 4^-5 * 4^8
A 4^-2/4^-1
B (4^3)^-1
C 4^2/4^-1
D (4^-1)^3
Answer: C
Step-by-step explanation:
[tex]a^{b} \times a^{c}=a^{b+c}[/tex], so [tex]4^{-5} \times 4^{8}=4^{-5+8}=4^{3}[/tex].
The only option that is equal to this is C
A 6-sided die is loaded in such a way where odd outcomes occur 2/9 of the time, and even outcomes happen the other
1/9 of the time. What is this die's expected value?
A. 3.25
B. 4
C. 3.5
D. 3.33
Answer:
3.33, or 3 1/3
Step-by-step explanation:
Expected value:
[tex](9 \times \frac{2}{9} ) + (12 \times \frac{1}{9} ) = 2 + \frac{4}{3} = 2 + 1 \frac{1}{3} = 3 \frac{1}{3} [/tex]
What are the similarities and differences between these data sets in terms of their centers and their variability?
Data Set A: 14, 21, 24, 28, 28, 35
Data Set B: 18, 19, 21, 25, 29, 32
Select from the drop-down menus to correctly complete the statements.
Comparing the centers of the data sets, the median for Data Set A is
Choose...
the median for Data Set B. The mean for Data Set A is
Choose...
the mean for Data Set B.
The median for Set A is (24+28)/2 = 26
The median for Set B is (21+25)/2 = 23
The mean for set A is (14+21+24+28+28+35)/6 = 25
The mean for set B is (18+19+21+25+29+32)/6 = 24.
Thus, the mean for Data Set A is greater than the mean for Data Set B.
4. Write the equation of the line that passes through the points (3, 7) and (-1, 2)
in:
a. Point-slope form
b. Slope-intercept form
Which results only in a horizontal compression of Y=1/x
by a factor of 6?
Step-by-step explanation:
[tex] y = \frac{1}{x} [/tex]
In order to compress by a factor of 6, we multiply the variable x by 6. It would compress the hyperbola
[tex]y = \frac{1}{6x} [/tex]
Which second degree polynomial function has a leading coefficient of -1 and root 4 with multiplicity 2?
f(x) = -x²-8x-16
f(x) = -x² +8x-16
f(x)=x²-8x + 16
f(x) = -x² + 8x + 16
Mark this and return
Save and Exit
Next
Subm
Answer:abc and d
Step-by-step explanation:
trust me I took the dum test
The Super 20 Hotel currently contracts out its cleaning service to Great Maids cleaners who charge $50 a room. They also charge an additional $185 no matter how many rooms they clean. Which equation could be used to determine the cost C of the Great Maids cleaning n rooms?
Answer:
a computer is an electronic device,which input data/instruction,store and processes it and produces output in the desired from
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. u2+65u
Answer:
(u + [tex]\frac{65}{2}[/tex] )²
Step-by-step explanation:
u² + 65u
to complete the square
add ( half the coefficient of the u- term )²
= u² + 2([tex]\frac{65}{2}[/tex] )u + [tex]\frac{4225}{4}[/tex]
= (u + [tex]\frac{65}{2}[/tex] )²
[tex](a + b) {}^{2} [/tex]
Expand this expression.
Answer:
[tex] {a}^{2} + 2ab + {b}^{2} [/tex]
Step-by-step explanation:
[tex](a + b) {}^{2} = (a + b)(a + b) = {a}^{2} + ab + ab + {b}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]
Hi!
___________________________________________________________
[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]
a^2+2ab+b^2
[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]
Remember the rule for expanding a binomial squared.
[tex]\twoheadrightarrow\sf (a+b)^2=a^2+2ab+b^2[/tex]
So we square the first term, then multiply the product of the two terms times 2.
[tex]\twoheadrightarrow\sf a^2+2ab+b^2[/tex]
This is our answer.
--
Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]
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4(n+3)=24 solve for n
A $1,000.00 bond at 85 1/4 % pays 6.8 % annual interest. Calculate cost of bond.
Based on the par value of the bond and the percentage it was issued at, the cost of the bond is $852.50.
What is the cost of the bond?The current cost of the bond is the present value of the bond's cashflows and its par value.
This is taken into account when the bond is issued at a certain percentage which in this case is 85 ¹/₄%.
The cost of the bond is:
= 1,000 x 85 ¹/₄%
= $852.50
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Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5, 5),A(5,5),A, left parenthesis, 5, comma, 5, right parenthesis, comma B(7,5)B(7,5)B, left parenthesis, 7, comma, 5, right parenthesis, C(7,-1)C(7,−1)C, left parenthesis, 7, comma, minus, 1, right parenthesis, and D(5,-1)D(5,−1)D, left parenthesis, 5, comma, minus, 1, right parenthesis.
Given these coordinates, what is the length of side BCBCB, C of this rectangle?
Answer:
The length of the side BC is 6 units.
Step-by-step explanation:
Distance formula: This works for any two points in 2D space with coordinates (x₁, y₁) for the first point and (x₂, y₂) for the second pointIt is the length of the line segment joining two pointsd = [tex]\sqrt{(x_{2} {-} x_{1})^{2} +(y_{2} {-} y_{1})^{2}}[/tex]For the given question:Rectangle ABCD
Coordinates of Point A,B,C,D
[tex]A = ( 5 , 5)B = (7, 5)C = (7 , -1)D = (5 , -1)[/tex]
As we are asked to find the length of side BC, we'll apply the Distance formula on side BC
BC = [tex]\sqrt{(7_ {-} 7)^{2} +(-1 {-} 5)^{2}}[/tex]
= [tex]\sqrt{(0)^{2} +(-6)^{2}}[/tex]
= [tex]\sqrt{ 36}[/tex]
= [tex]6[/tex]
Hence, the length of the line side BC is 6.Learn more about the distance formula here; https://brainly.in/question/49068974
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