The depreciation expenses foe each year is 4375.
Given,
In the question;
The cost of the truck is $20,000 with an estimated life of four years.
The residual value of the truck is $2,500.
To find the depreciation expenses for each year.
Now, According to the question:
Based on the given condition:
Formulate:
(20,000-2,500) ÷ 4
= 17500/4
Cross out the common factor:
= 4375
Hence, The depreciation expenses foe each year is 4375.
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DUE TOMORROW HELP PLEASE!
Answer:
57°
Step-by-step explanation:
Vertical angels are congruent. They have the same measurements.
Answer:
57
Step-by-step explanation:
<PQS and <RQN are vertical angles and thus are congruent by the Vertical Angles Theorem. If m<PQS = 57, then m<RQN = 57.
Solve the following quadratic equation by using the definition of a square root and write the solutions in simplified radical form. 3(y-7)² = 24
Answer:
y = 7 + 2√2, y = 7 - 2√2
Step-by-step explanation:
We need to solve for y to find the solutions of the quadratic equation:
3(y-7)^2 = 24
(y-7)^2 = 8
y-7 = ±√8 = ±√(4*2) = ±2√2
y = 7 + 2√2
y = 7 - 2√2
2√2 is the simplified radical form because 4 is the highest factor of 8 that is a perfect square.
12y^2-17y-5 to factor it
After factoring the given expression [tex]12y^2-17y-5[/tex], we get (4y+1)(3y-5).
The breakdown of a thing into a product of other objects, or factors, which when multiplied together provide the original, is known as factorization or factoring in mathematics. Factorization can be done using middle term splitting method in which the middle term of the expression is broken down to factor.
Factoring the given expression by splitting the middle term -17y to -3y and 20y as product of 12 and 5 is 60 and also the product of 3 and 20 is 60.
[tex]12y^2-17y-5=12y^2+3y-20y-5\\=3y(4y+1)-5(4y+1)\\[/tex]
Now, factoring out [tex](4y+1)[/tex],
[tex]=(4y+1)(3y-5)[/tex]
Therefore, After factoring the given expression, we get [tex](4y+1)(3y-5)[/tex].
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An angle measures 52 degrees. What is a measure of its complement? What about its supplement?
Answer:
38°
128°
Step-by-step explanation:
Complementary angles have measures that add to 90°.
Supplementary angles have measures that add to 180°.
comp: 90 - 52 = 38
sup: 180 - 52 = 128
Write an explicit function to represent each pattern.
Angelo sells cookies in packages, where each package contains the same number of cookies. The total number of cookies he has after 1, 2, 3, 4, and
5 packages are sold are 110, 88, 66, 44, and 22, respectively.
f(x) =
The explicit function of the packages is f(x) = a +(n-1)d.
What is explicit function?
An explicit function is a function in algebra in which the output variable (dependent variable) can be explicitly written only in terms of the input variable (independent variable). An explicit function usually involves two variables - dependent and independent variables.
the given numbers are 110,88,66,44,22.
This is an AP (arithmetic progression)
f(x) = a +(n-1)d
were,
a is the first term, n is the number of terms, d is the difference.
n= 5, d = 22, a =110
f(x) = 110 +(5-1)22
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Can someone help me please I need to check this answer in equations. I have the answer I just need someone to help me check it correctly. There is a way to check them as per Math equations check. 5 pts
8(4 – a) = 2a
32-8a=2a
-2a from both sides
32-10a=0
-32 from both sides
-10a=-32
A=-32/-10
Answer: 16/5=3 1/5 =3.2
Answer:
3.2
Step-by-step explanation:
8(4-a)=2a
32-8a=2a
collect like terms
32=2a+8a
32=10a
divide both sides by 10
a=3.2
Your solution is correct
What is the midpoint of the segment shown below?
-10
(-4, 6)
10
-10
(4,-2)
10
Answer:
Step-by-step explanation:
Points A, B, C, and D are collinear and positioned in that order. Find the length indicated. AD=3x+5, CD= 3, BC = x, and AB = x +5. Find BC
Answer:
Step-by-step explanation:
x=-11we know thatPoints A,B,C,and D are collinear and positioned in that ordersoAD=AB+BC+CD -----> by addition segment postulatewe haveAB=2x+30AD=x=32substitute the given values and solve for xx+32 = (2x+43)Group terms that contain the same variable2x-x=32-43x=-11
Find the common difference of the arithmetic sequence: { 8, 5, 2, -1, -4, ...}
d=
Answer:
d=3
Step-by-step explanation:
because
8-5=3
5-2=3
2--1=3
-1--4=3
Find tan 0 if sin=3/4 and 0 is in quadrant 2
Answer:
[tex]-\frac{3}{\sqrt{7} } .[/tex]
Step-by-step explanation:
1) tanΘ=sinΘ/cosΘ;
[tex]2) \ cos \theta=^+_-\sqrt{1-sin^2 \theta}; \ = > \ cos \theta=^+_-\frac{\sqrt{7}}{4};[/tex]
3) if according to the initial condition Θ is in II-quadrant, then the cosΘ<0!
[tex]cos \theta=-\frac{\sqrt{7}}{4} ;[/tex]
4) finally,
[tex]tan \theta=\frac{sin \theta}{cos \theta}=-\frac{3}{\sqrt{7}}.[/tex]
In the metric system each unit is ten times the size of the next smaller unit is this true or false?
This statement is false about metric system.
What is metric system?
matric systemare a group of two or more Lewis structure that represents a single polyatomic species.
Resonance is the ability of system to moves it's pi electron to the system .
Resonance structure are more significant beacuse they provide a much more realistic views of the shape of a molecule.
Each individua matric system is average into a resonance which is both true shape of the molecule .
Thus this statement is false about memetrictric system.
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Activity No. 16
Find the roots of the following radical expressions.
1. √64
2. ⁴√ -1
3. ³√1000
Write each expression in radical form or with a rational exponent, and simplify.
1. (⁴√ 1)⁷
2. ³ √-64
3. (2⁹)¹/³
4. (11²)¹/²
The roots of the radical expression is given as 8, not defined, 10
What is radical expression?
a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number.
Given,
1. √64
we know 8 multiplied by 8 gives 64
√64 =8
2. ⁴√ -1
not defined
3. ³√1000
We know 10 multiplied by 10 =100
and 100 multiplied by 10 =1000
root of ³√1000 = 10
The radical form or number is
1. (⁴√ 1)⁷=1
2. ³ √-64=8i
3. (2⁹)¹/³=8
4. (11²)¹/² =11
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The sales tax on a laptop is $30.00 that cost $800.00. What is the percent of sales tax?
Answer:
3.75%
Step-by-step explanation:
800+3.75%=830
Henry incorrectly said the rate 1/4 hour/ 1/12 acre can be written as the unit rate 1/48 hour per acre. What is the correct unit rate? What was 's likely error?
In a case whereby Henry incorrectly said the rate 1/4 hour/ 1/12 acre can be written as the unit rate 1/48 hour per acre the correct unit rate is 3hours per acre, he made the mistake by multiplying directly.
What is rate?Rate can be described as thequantity, or degree of something measured per unit of something else, the concept that will be used is the concept of rate.
The given rate will be 1/4 hour per 1/12 acre
but the per that was added implies division,
Then te rate will now be 1/4 hour ÷ 1/12 acre , then we can express as product as :1/4 hour * 12 /1 acre
Then we can simplify as : 3hours per acre
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Factor the difference of cubes.
Zx^{3} -125
Answer:
you cannot factor it anymore
therefore, there is no solution
Can you find the inverse of the function y = 4x^2 + 12x + 9? Why or why not?
What domain restrictions are necessary to allow the function to have an inverse?
Find the inverse of the domain restricted function.
Inverse of the given function y= 4x² +12x + 9 is given by x=(1/2) (√y -3).
Restricted domain is required to make function one -one so that its inverse exist.
Domain of the inverse function is y ≥ 0.
As given in the question,
Given function is equal to :
y = 4x² +12x + 9
Inverse of the function exist if and only if it is one to one.
x₁ ≠ x₂
⇒2x₁ +3 ≠ 2x₂ + 3
⇒f(x₁) ≠ f(x₂)
It is one -one. Inverse exist.
y = (2x +3)²
⇒ 2x + 3 = √y
⇒x = (1/2) ( √y -3)
Restricted domain of the inverse of the function is y ≥0.
Therefore, Inverse of the given function y = 4x² +12x + 9 is given by
x = (1/2) (√y -3)
Restricted domain is required to make function one -one so that its inverse exist.
Domain of the inverse function is y ≥ 0.
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In a marching band maneuver, the marcher at the left spins 180° in place with arms spread, and hands the horn to the marcher at the right, who spins 180° with arms spread, and stops.
a. How far from the initial position is the horn?
The initial position is the hor from inch b.
What composition maps the horn from the initial position to the final position?
Answer: B
Step-by-step explanation:
B
Which ordered pair makes both inequalities true?
y > –2x + 3
y < x – 2
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the right of the line is shaded. The second dashed line has a negative slope and goes through (0, 3) and (1, 1). Everything to the right of the line is shaded.
(0,0)
(0,–1)
(1,1)
(3,0)
Answer:
[tex](3,0)[/tex]
Step-by-step explanation:
The ordered pair that satisfies both inequalities will lie in the region that is shaded by both inequalities.
Solve 6x + 2 = 2x - 14
Answer:
x = - 4
Step-by-step explanation:
6x + 2 = 2x - 14 ( subtract 2x from both sides )
4x + 2 = - 14 ( subtract 2 from both sides )
4x = - 16 ( divide both sides by 4 )
x = - 4
We move all terms to the left:
6x + 2 - (2x - 14) = 0We get rid of the parentheses.
6x- 2x + 14 + 2 = 0We add all the numbers and all the variables.
4x + 16 = 0We move all terms containing x to the left hand side, all other terms to the right hand side
4x = -16x= -16/4x=-4PLEASE HELP!!!:
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 60% pure antifreeze. The company wants to obtain 180 gallons of a mixture that contains 20% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
The volume of premium antifreeze to be used is 60 gallons.
The volume of water to be used is 120 gallons
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Let the volume of 60% pure antifreeze be used to make 20% pure antifreeze.
= x gallons
The volume of 20% pure antifreeze = 180 gallons
For 60% pure antifreeze:
C₁ = 60% , V₁ = x gallons
For 20% pure antifreeze :
C₂ = 20% , V₂ = 180 gallons
Applying,
C₁V₁ = C₂V₂
60 × x = 20 × 180
x = 60 gallons
The volume of 60% pure antifreeze used = 60 gallons.
The volume of water to be used.
= 180 - 60 gallons
= 120 gallons
Thus,
The volume of premium antifreeze to be used is 60 gallons.
The volume of water to be used is 120 gallons
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The fraction n/16 is between 1/2 and 3/4. Write down all the possible values of n. Optional working n =
Answer:
n= 9,10,11,12,13
Step-by-step explanation:
Change the denominator to 16 so it can be common with n
1/2
1x8/2x8
8/16
3/4
3x4/4x4
14/16
Now we look at the numerators and see the new ones are 8 and 14 so all the numbers in between 8 and 14 are 9,10,11, 12, and 13
Hopes this helps please mark brainliest
The possible values of n are 9, 10, and 11.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
1/2 < n/16 < 3/4
Now,
Take 1/2 < n/16
1/2 < n/16
16/2 < n
8 < n ____(1)
Take n/16 < 3/4
n/16 < 3/4
n < 3/4 x 16
n < 12 ______(2)
From (1) and (2) we get,
8 < n < 12
This means,
The possible values of n are 9, 10, and 11.
Thus,
n values are 9, 10, and 11.
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Which equation would reflect the function over the Y-AXIS F(x) = |x+1| -2
Answer:
[tex]g(x)=|-x+1|-2[/tex]
Step-by-step explanation:
When reflecting over the [tex]y[/tex] axis, [tex]f(x) \to f(-x)[/tex].
[tex]f(x)=|x+1|-2 \implies g(x)=|-x+1|-2[/tex]
The equation would be g(x) = |-x+1| -2 reflecting the function over the y-axis.
What is a reflection across the y-axis?Reflection across the y-axis is defined as reflecting a point across they = x, the x-coordinate, and y-coordinate places, the line y = -x is the coordinates (-x, y).
So reflected across the y-axis: f(x) → f(-x),
⇒ (x,y) → (-x , y)
The function is given in the question
f(x) = |x+1| -2
We know that the reflected across the y-axis: f(x) → f(-x),
⇒ (x,y) → (-x , y)
g(x) = f(-x)
g(x) = |-x+1| -2
Thus, the equation would be g(x) = |-x+1| -2 reflect the function over the y-axis.
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A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 40 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h(t) = -16t²+40t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at ___ second(s) after launch.
(Simplify your answer.)
The rocket reaches its maximum height at 1.25 second(s) after launch
The maximum height reached by the object is 32 feet.
Time to reach the maximum heightThe function is given as
h(t) = -16t² + 40t + 7
Differentiate the above function
So, we have the following representation
h'(t) = -32t + 40
Set to 0
-32t + 40 = 0
So, we have
32t = 40
Divide by 32
t = 1.25
Hence, the time is 1.25 seconds
The maximum heightIn (a), we have
t = 1.25
Substitute t = 1.25 in h(t) = -16t² + 40t + 7
h(1.25) = -16(1.25)² + 40(1.25) + 7
Evaluate
h(1.25) = 32
Hence, the maximum height is 32 feet
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5x+3y=25, 2x+12y=37
x=3.5 and y=2.5
First, combine the equations in such a way that you can eliminate a variable. Then solve for the variable. Insert this value into one of the original equations and solve for the unknown variable.
See details:
18. Herman decides to take up golf. His golf club membership will cost $450 for the season and he will
be charged $18 for each round of golf that he plays. Herman has decided not to spend more than
$1000 on golf for the season. Write an inequality that describes the relationship between the maximum
amount Herman wants to spend and the total golf costs for the season.
The inequality that describes the relationship between the maximum amount Herman wants to spend and the total golf costs for the season is 450 + 18x ≤ 1000.
Herman can play for a maximum of 30 rounds, which will cost $990 in total.
Herman decides to take up golf. His golf club membership will cost $450 for the season, and he will be charged $18 for each round of golf that he plays. Herman has decided not to spend more than $1000 on golf for the season.
Let the number of rounds of golf Herman plays be represented by the variable "x". We can write the inequality as given below.
450 + 18x ≤ 1000
We can further simplify and solve this inequality.
18x ≤ 1000 - 450
18x ≤ 550
x ≤ 30.56
Hence, the maximum number of rounds of golf is 30. The total cost is calculated below.
C = $450 + $18*30
C = $450 + $540
C = $990
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7.25% as a fraction?
Answer:
29/400
Step-by-step explanation:
The daily cost, y, of hiring a lawn service to work x hours mowing the grounds of a golf course can be modeled using a linear function. The lawn service charges a fixed cost of $100, plus an additional cost of
$25 per hour. The lawn service works a maximum of 6 hours per day. For one day of work, what is the range for this situation? 0
The range for this situation is {125, 150, ... 250}.
What is the range of a function?The range of a function includes all the possible output (y) values when the x value is substituted with a number.
The daily cost of hiring a lawn service = y
The number of hours mowing = x hours
Fixed cost per day = $100
Variable cost per hour = $25
Maximum hours of work per day = 6 hours
Minimum hour of work per day = 1 hour
The equation for 6 hours:y = 100 + 25x
y = 100 + 25(6)
y = 250
y = $250
For 5 hours, y = $225 (100 + 25(5)
For 4 hours, y = $200 (100 + 25(4)
For 3 hours, y = $175 (100 + 25(3)
For 2 hours, y = $150 (100 + 25(2)
For 1 hour, y = $125 (100 + 25(1)
Thus, the daily cost of hiring a lawn service ranges from {125, 150, ... 250}.
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when an egg is broken from the shell into a frying pan, the probability that the yoke breaks is said to be 1 in 10. If three eggs are fried. what is the probability that no yoke will be broken.
Help me with this math homework
You could buy 1 box, 14 bags and 4 single marbles and you could buy 2 box, 4 bags and 14 single marbles.
What is fundamental operation?
The fundamental operations are expressed in an order. Generally, the order will be in the format of “DMAS” where “D” stands for “Division”, “M” stands for “Multiplication”, “A” stands for “Addition”, “S” stands for “Subtraction”. This order is considered and sequentially performed from left to right.
Given, 1 box contains 10 bags of marbles
1 bag contains 10 marbles
Hence, 1 box contains 10 × 10 = 100 marbles.
Total numbers of marbles = 254
First condition is,
you can buy one box of marble = 1× 100 = 100
4 single marbles,
To find the number of bags, let x be the number of bag and one box contains 10 marbles,
therefore, x bags contains 10x marbles.
According to question,
100 + 4 +10x =254
104 +10x = 254
10x = 254- 104
10x = 150
x = 150÷10
= 15
Similarly in case of second condition,
2 boxes = 100×2 = 200
4 bags = 10× 4 = 40
Single marbles =?
200 + 40 +? =254
the single marble = 14
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Part 2: Using Your Results
How could you estimate the minimum speed of the car that made the skid marks in this picture? What additional information do you need to know?
A helpful fact is that each dashed line on any road or highiway is 10 feet long, with 30 feet in berween dashes.
Why do the dashed road lines appear smaller near the top of the picture? How will you adjust for this in making your measurement?
Once you have determined a seale (or scales) for the picture, measure the skid marks.
Given the length of the slcid marks, what was the approximate minimum speed of the vehicle when the brakes were applied? Was the driver speeding? Explain your answer.
Answer:
I c Phil and the way u are u 3AM u are u and tahsin will u be happy so we will be crazy for a different time to kick in hamtramck tomorrow so we will have
