Answer:
[tex]Y^4[/tex]
Step-by-step explanation:
Given:
Y to the fourth Power
Required
Express using mathematical expression
In mathematics;
To the nth power means raise to the power of n
In this case;
to the fourth Power means raise to the power of 4
Hence;
Y to the fourth Power = Y raise to the power of 4
And this can be represented mathematically as:
[tex]Y^4[/tex]
half of your baseball cards collection got wet and was ruined. you bought 19 cards to replace some that were lost. how many did you begin with if you now have 45.
Answer:
38 cards
Step-by-step explanation:
Assuming that you replaced all your baseball cards that were ruined, that would mean that you started with 38, because we know that 19 is half of all the baseball cards that were lost so 19*2=38
The manufacturer's suggested retail price (MSRP) for a particular car is $25,425, and it is expected to be
worth $11,730 in 5 years.
(a) Find a linear depreciation function for this car.
(b) Estimate the value of the car 7 years from now.
(c) At what rate is the car depreciating?
(a) What is the linear depreciation function for this car?
(Simplify your answer. Do not include the $ symbol in your answer.)
Answer:
(a) The linear depreciation function of the car which gives the worth of the car y after a number of years, t is given as follows;
y = 25,425 - 2,739 × t
(b) The value of the car 7 years from now is $6,252
(c) $2,739 per year
Step-by-step explanation:
The manufacture's suggested retail price (MSRP) for the car = $25,425
The amount the car is expected to be worth in 5 years = $11,730
(a) The linear depreciation is given as follows;
[tex]Depreciation \ Per \ Year \ = \dfrac{Cost \ of \, Asset - Salvage \ Value}{Life \ of \, Asset \ in \ use}[/tex]
Where;
Cost of Asset = $25,425
Salvage Value = $11,730
Life of Asset in use = 5 years
We get;
[tex]Depreciation \ Per \ Year \ = \dfrac{\$ 25,425 - \$11,730}{5} = \$2,739/year[/tex]
Therefore, the linear depreciation function, can be written as follows;
y - 25,425 = -2,739×(t - 0)
y = -2,739·t + 0 + 25,425 = 25,425 -2,739·t
y = 25,425 - 2,739 × t
Where;
y = The expected worth of the car after a given number of years
t = The number of years used for the calculation of the depreciation
(b) The value of the car 7 years from now is given by substitution as follows;
Whet t = 7, we have;
y = 25,425 -2,739·t = y = 25,425 -2,739 × 7 = $6,252
The value of the car 7 years from now = $6,252
(c) [tex]Depreciation \ Per \ Year \ = \dfrac{\$ 25,425 - \$11,730}{5} = \$2,739/year[/tex]
The car is depreciating at a rate of $2,739 per year.
The length of a football field is 120m. what is the length on drawing, if the scale is 1:5m?
if you kick a soccer ball on the ground,it eventually comes to a stop because of the friction with the grass.Which newton's law of motion is this an example of
Answer:
Newton's first law
Step-by-step explanation:
Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.
A diver is 19 meters below the surface of the water. Use an integer to represent how far the diver will need to travel to reach the surface.
Since the diver is 19 metres below the surface of the water, then he will need to travel 19 metres to reach the surface.
3(20 + 4) =
Help me pleases
Answer:
72 is your answer mate...
Yon buys tickets to a concert for himself and a friend. There is a tax of 8% on the price of the tickets and an additional booking fee of $20 for the transaction. Enter an algebraic expression to represent the price per person. Simplify the expression if possible. Use variable t for the price of the 2 tickets in dollars. The algebraic expression is
Answer:
5.4
Step-by-step explanation:
vhtx
Find the slope of the line passing through the points (2,8) and (2,-7)
Answer:
undefined
Step-by-step explanation:
The line is a vertical line (since both points have the same x-coordinate of x=2) and hence it has an undefined slope.
Simplify the following expressions and please show steps : >
y+6x=11; x = -2,0, 4
Solve the equation for y.
(-4, 6) and (3.-7)
Find the distance between each pair of points
Answer:
[tex]d=\sqrt{218}[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug our coordinates into the distance formula to find the distance between the points:
[tex]d=\sqrt{(3 - (-4))^2+(-7 - 6)^2}[/tex]
[tex]d=\sqrt{(3 +4)^2+(-13)^2}[/tex]
[tex]d=\sqrt{(7)^2+169}[/tex]
[tex]d=\sqrt{49+169}[/tex]
[tex]d=\sqrt{218}[/tex]
Carla withdrew $320 every month for four years to help pay for college how much total money did she withdraw
Answer:
1280
Step-by-step explanation:
32x4=128
320x4=1280
are f(x)=1/8x^3 and g(x)=2x^1/3 inverses of each other? Check all that apply.
PLEASE SHOW WORK!
The simplified expression for f(g(x)) is x.
The simplified expression for f(g(x)) is One-fourth x.
The simplified expression for g(f(x)) is 2x.
The simplified expression for g(f(x)) is x.
The functions are inverses of each other.
The functions are not inverses of each other.
Answer: 1,4,5
Step-by-step explanation:
The correct options are, The simplified expression for g(f(x)) is x.
The functions are not inverses of each other.
What is an inverse function?First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.
We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.
Given, f(x) = 1/(8x³).
f(x) = 1/(2x)³.
y = 1/(2x)³.
(2x)³ = 1/y.
[tex]2x = \frac{1}{y^\frac{1}{3}}[/tex].
[tex]x = \frac{1}{2y^\frac{1}{3}}[/tex].
[tex]f^{-1}(x) = \frac{1}{2x^\frac{1}{3}}[/tex] and g(x) = [tex]2x^\frac{1}{3}[/tex] so, they are not inverses of each other.
Now, f(g(x)) = [tex]\frac{1}{8((2x)^\frac{1}{3})^3}[/tex].
f(g(x)) = 1/16x.
g(f(x)) = [tex]2(1/8x^3)^\frac{1}{3}[/tex].
g(f(x)) = x
learn more about the inverse of functions here :
https://brainly.com/question/2541698
#SPJ2
please explain the steps in order to solve the equation 2x+5y=28 when x=4
Answer:
Step-by-step explanation:
Plug in 4 for x
2(4) + 5y = 28
8 + 5y = 28 (subtract both sides by 8)
5y = 20 (divide both sides by 5)
y = 4
help me pleaseee i dont understand it.
so nobody is smart enough to answer my question?
That is ver very sad
yes,
abcdefghijklmnopqrstuvwxyz
A giraffe can run 32 miles per hour. What is this speed in feet per second?
Answer:
46.9333 feet per second
Step-by-step explanation:
[tex]\frac{x+10}{2}[/tex]
Answer:
[tex]\frac{x}{2}+5[/tex]
Step-by-step explanation:
[tex]\frac{x+10}{2}[/tex]
To solve, you will have to divide.
[tex]\frac{x}{2}+5[/tex]
Hope this helps!
Distribute 6x (5 – 7x).
Answer:
30-42x
Step-by-step explanation:
Use the distributive property to multiply 6 by 5-7x.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{30 - 42x}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{6(5 - 7x)}[/tex]
Distribute 6 through the parentheses
[tex] \dashrightarrow{\sf{6 \times 5 - 6 \times 7x}}[/tex]
[tex] \dashrightarrow{ \sf{30 - 42x}}[/tex]
Hope I helped!
Best regards! :D
A tree is 18 feet tall. A wire runs from the top of the tree to a point 4 feet from its base. The wire is √340 feet long. Estimate the length of the wire to the nearest hundredth of a foot. The wire is about (Blank) feet long.
Answer:
The wire is about 18.44 feet long.
Step-by-step explanation:
From the question:
The wire is √340 feet long.
This implies that the length of the wire is √340 feet.
Converting the value of this length (√340) to decimal gives;
√340 = 18.439
Now, let's convert 18.439 to the nearest hundredth of a foot.
18.439 ≅ 18.44
Therefore, the length of the wire to the nearest hundredth of a foot is 18.44 feet.
In other words, the wire is about 18.44 feet long.
Alex and his friends are studying for a geometry test and one of the main topics covered is parallel lines in a plane. They each write down what they think it means for two distinct lines in a plane to be parallel
Answer:
i rthink i understand your question but im not sure- I think you forgot to add a little bit of the question but im pretty sure your question is what is a parrllel line. IM going to answer that sorry if its wrong but im trying to be helpfull.
Step-by-step explanation:
Parallel lines are two lines that never intersect they start off beside each other and they stay where you can conect them with one line but they will never intercet.
---------
and
----------
Answer:
Literally, parallel lines are lines that extend in both directions without meeting.
The three definitions of parallel lines are correct, but Rachel's and Briana's definitions have flaws
Step-by-step explanation:
Rachel
The definition implies that two lines are said to be parallel if they are both perpendicular to another line.
This definition is correct, but the definition brings a new concept; it introduces the concept of line transversal.
Because the parallel lines can be defined without introducing the concept of line transversal (which was not part of the required definition), then we can conclude that the definition has a drawback.
Alex
Alex's definition is correct, and it has no drawback because the definition can be applied to concepts where parallel lines are used.
Briana
Here, Brianna introduced the concept of slopes.
Ideally, parallel lines have the same slope; but the concept is limited to slopes only; and cannot be applied to other concepts such as transversal of lines.
What is the distance between points F(2, 11) and G(5, 16)? Round off to the nearest whole number
Answer:
d = 5Step-by-step explanation:
[tex]d_{FG}=\sqrt{(x_G-x_F)^2+(y_G-y_F)^2}\\\\d_{FG}=\sqrt{(5-2)^2+(16-11)^2}=\sqrt{3^2+4^2}=\sqrt{25}=5[/tex]
Write an inequality that models a real world situation. Describe your situation and what a variable X represents
Answer:
The variable X represents:
X = the number of books
The real world situation can be:
1.) Jennie reads books. She reads each books for
2.) Jennie wants to read book at least 5 books today.
Write an inequality that models the minimum number of books that Jennie needs to read.
The inequality for this situation is:
[tex]2x \: \geqslant \: 5[/tex]
You want to paint a piece of pottery at an art studio. the total cost is the cost of the piece plus an hourly studio fee.the price for the studio A is shown at the right you spend a total of $46 on the project how many hours did you spend at the studio?
A) define the variable: x=
B) write an equation
C) answer the question include the units
Answer:
5 and 3/5
Step-by-step explanation:
sorry if it is wrong
What is the value of z in the solution of the following system of equations?
3x+ 5y +7z= 3
2x+4y+6= 6
4x+3y + 5z = -6
A. 6
B. 4
C. -2
D. -6
Answer:
D) -6
Step-by-step explanation:
Match the equation with its slope and y intercept.
Answer:
1.c
2.e
3.d
3.a
5.b
best of luck!
Answer: Answer is in the steps read carefully
Step-by-step explanation:
1. y = -3x It has a slope of -3 and y intercept of 0 so it goes with C
2. y =2x+ 5 It has a slope of 2 and y intercept of 5 so it goes with E
3. y = 1/2x - 3 It has a slope of 1/2 and y intercept of -3 so it goes with D
4. y= -1x + 2 It has a slope of -1 and y intercept of 2 so it also goes with A
5. y = 1x It has a slope of 1 and y intercept of 0 so it goes with B
Martha tiene un negocio en el cual vende huevos empacados por docena. Uno de sus clientes le pide solamente 5/6 de docena, ¿cuántos huevos debe venderle Martha?
Answer:
María solamente debe venderle al cliente 10 unidades
Step-by-step explanation:
Explicación paso a paso:
Una docena representa un total de doce (12) unidades. Los huevos se empacan por docena, por lo tanto si nos piden solo 5/6 de la docena, multiplicamos dicha fracción por 12 unidades:
5/6 · 12 = (12 · 5)/6 = 60/6 = 10 unidades
Por lo tanto, María solamente debe venderle al cliente 10 unidades, es decir 5/6 representa 10 unidades de los huevos
Usando conceptos de proporción, se encuentra que Martha debe vender 10 huevos al cliente.
---------------------------
Esta pregunta se resuelve por proporciones, usando una regla de tres.Una docena está compuesta por 12 huevos. ¿cuántos huevos en 5/6 de docena?1 docena - 12 huevos
5/6 de docena - x huevos
Aplicando multiplicación cruzada:
[tex]x = 12 \times \frac{5}{6} = \frac{12 \times 5}{6} = 2 \times 5 = 10[/tex]
Martha debe vender 10 huevos.
A similar problem is given at https://brainly.com/question/23926715
Use the diagram to the right a. What algebraic expression represents GK? b. If GK = 24. what are GH and JK? G H J K a What algebraic expression represents GK? GK (Simplify your answer Do not factor)
Answer:
Step-by-step explanation:
The question lacks appropriate diagram. Find the diagram attached below;
From the diagram GK = GH+HJ+JK
Given GH = GJ-HJ
GH = 2x+2-x
GH = x+2
HJ = x
JK = HK - HJ
JK = 6x-1-x
JK = 5x-1
GK = x+2+x+5x-1
collect like terms
GK = x+x+5x+2-1
GK = 7x+1
Given GK = 24, then;
7x+1 = 24
7x = 24-1
7x= 23
x = 23/7
Since GH = x+2
GH = 23/7 + 2
GH 23+14/7
GH = 37/7
Also JK = 5x-1
JK = 5(23/7)-1
JK = 115/7 - 1
JK = 115-7/7
JK = 108/7
(4 root 6 - 2root7) (4root6 +2root7)
Select the correct answer,
A soccer team wins 65% of its matches, and 15% of its matches end in a draw. If the team is scheduled to play 20 matches, about how many
matches is it expected to lose?
A. 13
B. 4
с. В
D. 1
Answer:
0.65 x 20 = 13 0.15 x 20 = 3 so 13 + 3 =16 20 - 16 = 4
Step-by-step explanation: