Using a linear function, we have that:
The percentage will be 47% during the year of 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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Each serving of a cereal is 80 calories.which expression can be used to find the number of calories In 3 servings
Answer:
[tex]80\times3[/tex]
Step-by-step explanation:
Based on the given conditions, formulate: [tex]80\times3[/tex]
Calculate the product or quotient: 240
get the result: 240
Answer: 240
To find this answer, we had to use the expression 80 * 3, therefore making it the answer.
Answer:
240
Step-by-step explanation:
80*3=240
so u multiply the equation
Which information could he have used to determine this?
O GLH = ILM
O m KLM = 5m ILMO
O m GLI = 2m GLH
O m GLI = 1/2m GLH + 1/2m HLI
Answer:
m∠GLI = 2m∠GLH
Step-by-step explanation:
Angle GLI (red) is made of angles GLH (purple) and HLI (green).
m∠GLI = m∠GLH + m∠HLI
First option: ∠GLH ≅ ∠ILM (Angle GLH is congruent to angle ILM.)
This doesn't tell us anything about the relationship between angles GLI, GLH and HLI. So it can't be used.
Second option: m∠KLM = 5m∠ILM (Measure of angle KLM is 5 times the measure of angle ILM.)
This also cannot be used, because it doesn't include angles GLI, GLH or HLI.
Third option: m∠GLI = 2m∠GLH (Measure of angle GLI is two times the measure of angle GLH.)
Now this option is more interesting. It includes two angles of three that we are interested in.
If angle GLI is two times angle GLH, then that means that angle GLH is congruent to angle HLI!
Let's prove this with equations.
1) m∠GLI = m∠GLH + m∠HLI (from picture)
2) m∠GLI = 2m∠GLH (from third option)
Substitute m∠GLI in first equation with m∠GLI in second.
m∠GLI = m∠GLH + m∠HLI
2m∠GLH = m∠GLH + m∠HLI
m∠GLH = m∠HLI
So this proves that the angles GLH and HLI have the same measure, therefore ray LH is bisector of GLI.
Fourth option: m∠GLI = 1/2m∠GLH + 1/2m∠HLI
There are all angles we are interested in, but there is a mistake. We can see in the picture that angle GLI is made of angle GLH and HLI and not of half of them. This just is not true. The correct equation would be m∠GLI = m∠GLH + m∠HLI.
pls see the attachment
24 of the 720 numbers have the numbers 1, 2 and 3 in that order
How to determine the number of arrangements?The digits are given as:
1, 2, 3, 4, 5, and 6
For 1, 2 and 3 to come in that order, then the three numbers must be treated as a digit
So, we have:
(123), 4, 5, and 6
Now, there are 4 digits.
The number of arrangements is then calculated as:
Arrangements = 4!
Expand
Arrangements = 4 * 3 * 2 * 1
Evaluate
Arrangements = 24
Hence, 24 of the 720 numbers have the numbers 1, 2 and 3 in that order
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Which of the following displays is a relative frequency bar graph?
A bar graph titled eye color has color on the x-axis. Blue, 8; brown, 10; green, 6; hazel, 5; gray, 1.
A bar graph titled social media preferences has platform on the x-axis. Upstart, 0.10; Aster, 0.25; Babble, 0.30; Techy, 0.35.
A bar graph titled Caffeinated Drinks has drink on the x-axis. Coffee, 9; tea, 8; soda, 8; energy, 3.
A bar graph titled social media preferences has platform on the x-axis . Upstart, 4; Aster, 18; Babble, 15; Techy, 12.
Mark this and return
The answer choice which represents a relative frequency bar graph is; A bar graph titled social media preferences has platform on the x-axis. Upstart, 0.10; Aster, 0.25; Babble, 0.30; Techy, 0.35.
What is Relative frequency?The statistical definition of relative frequency is simply the ratio of the frequency of an event in a statistical experiment with respect to the total frequency. Hence, since the frequencies in the social media bar chart as decimals (fractions of a whole), it follows that it is a relative frequency representation.
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Answer Its B
Step-by-step explanation:Edge 2022 I guess
Find the slope of the line that passes through the points (4, 4) and (5, 7).
Answer:
3
Step-by-step explanation:
Slope of a line between any two points (x1,y1) and (x2,y2) is given by the equation:
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
let's take (x1,y1) as (4,4) and (x2,y2) as (5,7)
So slope = [tex]\frac{7-4}{5-4}[/tex] = 3
Answer:
y = 3x - 8
Step-by-step explanation:
y = Mx + c
m = 3 / 1
4 = 3(4) + c
4 - 12 = c
If a-4b=18,what is 3a/81b
Answer:
You cannot solve this problem with only one given equation
Step-by-step explanation:
You need at least 2 equations to solve for two variables.
help me with this please i will gave u bralinet answer who ever answer first
Answer:
[tex]\fbox {5 times}[/tex]
Step-by-step explanation:
Days where both will be done :
⇒ 2nd day × 3rd day
⇒ 6th day
Number of times in September :
⇒ The month has 30 days
⇒ Number of times = 30/6
⇒ Number of times = 5
Answer:
5 times
Step-by-step explanation:
• Calculate the lowest common multiple (LCM) of 2 and 3 to find the first day of the month in which she will do both:
LCM (2 and 3) = 2 x 3
= 6
This means, she will do both every 6th day.
• There are 30 days in September. To find how many days she will do both in September, we have to calculate how many 6-day blocks there are in 30 days:
⇒ 30 ÷ 6
= 5 times
find the midpoint A and B where A has a coordinates (2, 7) and B has coordinates (6,3)
Answer:
(2+6)/2= 4 (x-coordinate of midpoint)
(7+3)/2= 5(y=coordinate of midpoint)
Answer:
Hope it will help you:)
Step-by-step explanation:
Solution:
here,
A(2,7)-([tex]x_{1,}y_{1[/tex])
B(6,3)-([tex]x_{2},y_{2[/tex])
Now using midpoint formula,
midpoint of ab=(x1 + x2)/2, (y1 + y2)/2
=(2+6)/2,(7+3)/2
=(8/2,10/2)
=(4,5)
The midpoint of AB is(4,5).
DO NOT PUT A WRONG ANSWER OR ELSE I WILL START TO REPORT YOU!!!
A person who is 6 feet tall is walking away from a lamp post at the rate of 40 feet per minute. When the person is 10 feet from the lamp post, his shadow is 20 feet long. Find the rate at which the length of the shadow is increasing when he is 30 feet from the lamp post.
40 points please Please help me
Answer:
19.51 units = x
Step-by-step explanation:
Here is one way :
Height = 18 cos 47 = 12.276
then cos 51 = 12.276 / x
x = 12.276 / cos 51 = 19.51
Sketch the graph that has an area of under the standard normal curve and to the left of the z-score. Then find the associated z-score.
The normal distribution is also known as the Gaussian distribution. The correct option is B, while the approx z-score is 0.31.
What is Normal Distribution?The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
Since the normal distribution is symmetrical about the mean. Therefore, the correct option is B, while the approx z-score is 0.31.
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Elian is placing a rectangle in the coordinate plane. He knows that the shorter side of the rectangle is half the length of the longer side. He places the longer side on the x-axis. What coordinates should he assign to the top-left vertex of the rectangle? Enter your answer in the boxes. ( , )
A rectangle is in the coordinate plane so that the bottom left vertex is at 0 comma 0, the top left vertex is on the positive side of the y-axis and is labeled question mark comma question mark, the top right vertex is in the first quadrant, and the bottom right vertex is on the positive side of the x-axis and is labeled 2 a comma 0.
Answer:
(0, a)
Step-by-step explanation:
We can start by imagining this rectangle as a square.
(This is written as if it is a square:)
The distance that a square reaches on the x-axis (assuming it has its lower left point at the origin, like this one does) is the same distance that it reaches on the y-axis.
meaning that we will have (length, 0) along the x-axis and (0, length) along the y-axis
so, if we are to treat this as a square, the point (2a, 0) means that our opposite vertex is (0, 2a)
However, because this length is only half of the length that it would be (if it were a square), we must divide our length by 2
2a ÷ 2 = a
So, the coordinates of the top-left vertex of this rectangle:
(0, a)
Answer:
coordinates of top left vertex: (0, a)
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the expressions given in words with their values when m = 6. 2 15 42 3 21
The matching is done below
What is expression?An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
1) 3 is the difference of 2 times d minus 3.
As, 2*d - 3
=2*3 - 3
=6 - 3
= 3
2) 4 is 4 added to the difference of d minus 3.
or, 4 + (d - 3)
or, 4 + (3 - 3)
or, 4 + 0 = 4
3) 0 is the difference of d minus 3 divided by 2.
(d - 3)/2
= (3 - 3)/2
= 0/2
= 0
4) 2 is the quotient of 12 divided by the difference of 3 times d minus 3.
12/(3d - 3)
=12/(3*3 - 3)
=12/(9 - 3)
=12/6
= 2
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Suppose there is a big drop in interest rates in Mexico and a small drop in U.S. interest rates. Everything else equal, what is likely to happen to value of the MXN?
If we suppose that there is a big drop in the interest rates in Mexico and a small drop in the interest rates in the U.S.A, with everything else equal, the value of MXN will decrease.
The foreign exchange market works according to the principles of firms, households, and investors:
These three constituent factors of the foreign exchange market determine the demand and supply patterns in the market. Demand for a foreign currency might increase in the foreign exchange market is linked to the expectation of an increase in the value of a foreign currency. Supply of a foreign currency in the foreign exchange market is linked to an inverse principle, where the expectation of a decrease in the value of foreign currency pushes supply upwards. If we are to suppose that there is a big drop in the interest rates in Mexico and a small drop in the interest rates in the U.S.A., then the value of the MXN will decrease, with everything being equal. A higher interest rate leads to the appreciation of a foreign currency relative to other currencies in the foreign exchange market. A lower interest rate leads to the depreciation of a foreign currency relative to other currencies in the foreign exchange market.Therefore, if we suppose that there is a big drop in the interest rates in Mexico and a small drop in the interest rates in the U.S.A, with everything else equal, the value of MXN will decrease.
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Cost of 6 kg of rice is 540 what is the cost of 13 kg of rice.
Answer:
1170$Step-by-step explanation:
Cost of 6 kg of rice is 540 what is the cost of 13 kg of rice.
we can solve with an equation
6 : 540 = 13 : x
x = 540 * 13 : 6
x = 7020 : 6
x = 1170
--------------------------
check
6 : 540 = 13 : 1170
0.01111111111 = 0.01111111111
the answer is good
Write the ratio as a fraction in lowest terms.
Compare in inches.
4 feet to 49 inches
Answer:
48/49
Step-by-step explanation:
divison and multiplcation
Karl, Serene and Pauline have 1281 stickers altogether. 08
Pauline had 3 times as many stickers as Serene.
Karl had 175 stickers fewer than Pauline.
How many stickers did Pauline have?
Pauline has 371 stickers. Karl, Serene, and Pauline have 1281 stickers altogether.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Let Karl, Serene and Pauline have x, y, and z stickers.
Given condition;
Karl, Serene, and Pauline have 1281 stickers altogether;
x+y+z = 1281
Pauline had 3 times as many stickers as Serene.
z = 3 y
y=z/3
Karl had 175 stickers fewer than Pauline.
x=z -175
Substitute all the values in the terms of z;
x+y+z = 1281
z -175 + z/3 + z = 1281
8z/3 = 1281 +175
z=546
Pauline have;
x = z -175
x =546 -175
x = 371
Hence Pauline has 371 stickers.
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You can make a tent by throwing a piece of cloth over a clothesline, then securing the edge to the ground with stakes so that an isosceles triangle is formed. How long would the cloth have to be so that the opening of the tent was 8 feet wide and 3 feet high?
Based on the required width and height of the tent, the length of the cloth would have to be 14.4 ft.
How long should the length of the cloth be?The opening of the tent would be an isosceles triangle but if it is divided in two from the top, a right-angled triangle will be formed and the hypotenuse will be the length of the cloth on one side.
That length - according to the Pythagoras theorem - would be:
= √(6² + (8 /2)²)
= √(36 + 16)
= 7.2 ft
As this is the length of one side of the cloth, the length of the entire cloth is:
= 7.2 x 2
= 14.4 ft
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The volume of a tree stump can be modeled by considering it as a right cylinder. Jin measures its radius as 11 in and its volume as 13685 cubic inches. Find the height of the stump in inches. Round your answer to the nearest tenth if necessary.
If the radius of tree stump is 11 inches and volume is 13685 cubic inches then the height will be equal to 36 inches.
Given Radius of tree stump is 11 inches and volume is 13685 cubic inches.
We know that the volume of cylinder will be equal to π[tex]r^{2} h[/tex].
Volume which is given as 13685 cubic inches.
13685=π[tex]r^{2}h[/tex]
π=22/7
13685=π[tex](11)^{2}[/tex]h
h=13685*7/22*121
h=95795/2662
h=35.98
if we round it to nearest tenth then the value of h be 36 inches.
Hence if radius is 11 inches, volume is 13685 cubic inches then the height of tree stump will be 36 inches.
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Answer:36
Step-by-step explanation:
En una tienda se fabrican dos tipos de mesas, de 3 y 4 patas. En total se tienen 89 mesas para vender. Se sabe que el quíntuple de las mesas de 3 patas más la cantidad de mesas de 4 patas es igual a 277. ¿ Cuántas mesas de 3 patas se tienen para vender?
En una tienda se fabrican
La cantidad de mesas de 3 patas que tiene para la venta la tienda que las
fabrica es: 47
¿Qué es un sistema de ecuaciones?
Es un arreglo de ecuaciones que se caracteriza por tener el mismo número de incógnitas que de ecuaciones.
Existen diferentes métodos para su resolución:
Sustitución: se despeja de una ecuación una variable, quedando en función de otra para luego sustituirla en otra ecuación y así obtener
Igualación: se despeja la misma variable en dos de las ecuaciones y se igualan los resultados.
Eliminación: se resta o suman dos ecuaciones para que quede un resultado en función una variable y así despejarla.
Gráfico: se grafican las rectas y el punto de intersección es la solución del sistema.
¿Cuántas mesas de 3 patas se tienen para vender?
Definir;
x: mesas de 3 patas
y: mesas de 4 patas
Ecuaciones
x + y = 89
5x + y = 277
Aplicar método de eliminación;
Restar 1 - 2;
x + y = 89
-5x - y = -277
-4x + 0 = -188
Despejar x;
x = 188/4
x = 47
Sustituir;
47 + y = 89
Despejar y;
y = 89 - 47
y = 42
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How do I graph y−3=1/2(x+3) on this graph? :c
From point (0, 9/2) and (-9, 0) we get a straight line.
What is Straight line?A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.
Here, given equation:
(y − 3) = 1/2(x + 3)
at x = 0,
y - 3 = 1/2 (0 + 3)
y - 3 = 1/2 X 3
y = 3/2 + 3
y = 9/2
at y = 0,
0 - 3 = 1/2 (x + 3)
-3 = 1/2 (x + 3)
-6 = x + 3
x = -6 - 3
x = -9
Thus, from point (0, 9/2) and (-9, 0) we get a straight line.
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In need of help in algebra, 4 questions help please
The solution to all the given equation has been determined.
What is an Intercept ?An intercept is the point at which a straight line intersects the x or y axis.
The equation given are
5x-4y = -20
x+5y = 5
x+4y = 4
x+2y = 6
All the equations are plotted on the graph and the value of the intercept are determined
For Equation 1
The solution is x = 0 , -4 , y = 4 , 0
For Equation 2
The solution is x = 0 ,5 , y=1 ,0
For Equation 3
The solution is x = 0,4 ; y = 1 ,0
For Equation 4
The solution is x =0,6 ; y = 3 ,0
The graph are attached with the answer.
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Which expressions are completely factored?
30a^6-24a^2=3a^2(10a^4-8)
The factorisation of the given algebraic expression is [tex]6a^{2} (5a^{4}-4 )[/tex].
The given expression is [tex]30a^{6} -24a^{2}[/tex].
We need to factorise the given expression.
What are the factors?Each of these numbers and expressions is referred to as a factor of algebraic expressions if it is possible to express algebraic expressions as the product of numbers, algebraic variables, or algebraic expressions.
Now, [tex]30a^{6} -24a^{2}=6a^{2} (5a^{4}-4 )[/tex]
Therefore, the factorisation of the given algebraic expression is [tex]6a^{2} (5a^{4}-4 )[/tex].
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How do l do this please help
The attached graph represents the graph of the parallel lines
How to plot the lines?The equation of the lines are linear equation
A linear equation is represented as:
y = mx + b
Where b represents the y-intercept.
Using the above form of linear equation as a guide, the equations of the lines are
y = -x + 5
y = -x + 2
y = -x - 3
y = -x - 2
Where -5, 2, -3 and -2 are the given y-intercepts and y = -x is the base equation.
Next, we plot the equations on a coordinate grid
See attachment
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Find the x-intercept of 2x+2y=2
Answer:
x-intercept: (1,0)
y-intercept: (0,1)
Step-by-step explanation:
Given: Find the x and y intercepts of 2x + 2y = 2
X-interceptTo solve for a x - intercept we have to substitue 0 in for y and solve for [tex]x[/tex]
Lets do it:
2x + 2(0) = 2
2x + 0 = 2
2x = 2
x = 1
Therefore, this means that when y = 0, x = 1 or (1,0)
Y-intercept
To solve for a y - intercept we have to substitue 0 in for x and solve for [tex]y[/tex]
Lets do it:
2(0) + 2y = 2
0 + 2y = 2
2y = 2
y = 1
Therefore, this means that when x = 0, y = 1 or (0,1)
Which statement is true about the end behavior of the
graphed function?
As the x-values go to positive infinity, the function's
values go to negative infinity.
As the x-values go to zero, the function's values go
to positive infinity.
As the x-values go to negative infinity, the function's
values are equal to zero.
As the x-values go to positive infinity, the function's
values go tO positive infinity.
Answer:
As the x-values go to positive infinity, the function's
values go to negative infinity.
Step-by-step explanation:
upon viewing the graph you will notice that the function in blue will appear to go down (negative) as you follow the x to the right, in the positive direction.
Making your answer to be as the x goes to positive inf (right) the values of the function go to negative inf (down).
Identifying an Error
Identify the error in the student solution shown
below. Find the correct answer.
2ln(x)= In(3x) - [In(9) - 2ln(3)]
In(x²) In(3x)-[In(9) - In(9)]
In(~2) 1/25)
The incorrect step is ln(x²) = ln(3x/0) because ln(x/y) = lnx - lny and the solutions are x = 0, 3
What is a logarithm?It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
2ln(x) = In(3x) - [In(9) - 2ln(3)]
In(x²) = In(3x) - [In(9) - In(9)]
ln(x²) = ln(3x) - 0
ln(x²) = ln(3x/0) (incorrect step)
ln(x²) = ln(3x)
x² = 3x (correct step)
x² - 3x =0
x(x - 3) = 0
x = 0, 3
Thus, the incorrect step is ln(x²) = ln(3x/0) because ln(x/y) = lnx - lny and the solutions are x = 0, 3
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The value of the expression 2x2/x+(100-15x) when x=5 is
Answer:
27
Step-by-step explanation:
Which algebraic expression is equivalent to the expression below
5(4x + 5) - 17
A.
20x + 9
B.
5x + 9
C.
20x + 42
D.
20x + 8
Answer:
20x + 8
Step-by-step explanation:
5*4x + 5*5 -17
20x +25 -17
20x + 8
find the first 4 terms and the 10th term from 3n+4
Answer:
16 and 34
Step-by-step explanation:
The general form = 3n+4
The 4th term = 3(4)+4 = 12+4 = 16
The 10th term = 3(10)+4= 30+4= 34
