Answer:
its d kkkkkkkkkkkkkkkkkkkkkk
A new car costs $40,000. The value of the car depreciates by 20% per year.
a. Create a formula to determine the value of the car t years from now.
b.when will the car be worth 25,000? Round to 2 decimal places.
Answer:
i think A
Step-by-step explanation:
correct me if I wrong k
How do I even do thissss?
Please provide your question with a math problem in the form of an image or text.
Explain how to write a quadratic equation given the following three points on the graph (5,31) (3,11) (0,11)
Given:
The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).
To find:
The equation of the quadratic function.
Solution:
A quadratic function is defined as:
[tex]y=ax^2+bx+c[/tex] ...(i)
It is passes through the point (0,11). So, substitute [tex]x=0,y=11[/tex] in (i).
[tex]11=a(0)^2+b(0)+c[/tex]
[tex]11=c[/tex]
Putting [tex]c=11[/tex] in (i), we get
[tex]y=ax^2+bx+11[/tex] ...(ii)
The quadratic function passes through the point (5,31). So, substitute [tex]x=5,y=31[/tex] in (ii).
[tex]31=a(5)^2+b(5)+11[/tex]
[tex]31-11=a(25)+5b[/tex]
[tex]20=25a+5b[/tex]
Divide both sides by 5.
[tex]4=5a+b[/tex] ...(iii)
The quadratic function passes through the point (3,11). So, substitute [tex]x=3,y=11[/tex] in (ii).
[tex]11=a(3)^2+b(3)+11[/tex]
[tex]11-11=a(9)+3b[/tex]
[tex]0=9a+3b[/tex]
Divide both sides by 3.
[tex]0=3a+b[/tex] ...(iv)
Subtracting (iv) from (iii), we get
[tex]4-0=5a+b-3a-b[/tex]
[tex]4=2a[/tex]
[tex]\dfrac{4}{2}=a[/tex]
[tex]2=a[/tex]
Putting [tex]a=2[/tex] in (iv), we get
[tex]0=3(2)+b[/tex]
[tex]0=6+b[/tex]
[tex]-6=b[/tex]
Putting [tex]a=2,b=-6[/tex] in (ii), we get
[tex]y=(2)x^2+(-6)x+11[/tex]
[tex]y=2x^2-6x+11[/tex]
Therefore, the required quadratic equation is [tex]y=2x^2-6x+11[/tex].
Tell whether the angles are complementary or supplementary. Then find the value of x.
Answer:
Complementary
x = 15
Step-by-step explanation:
Given angles are complementary, because their sum is 90°.Now, let us find the value of x.-> 3x° + 45° = 90°-> 3x° = 90° - 45°-> 3x° = 45°-> x = 45/3-> x = 158w - 12 = 44
I need the steps
this is for 30 points
Answer:
so it would be written as:
8w - 12 + 12 = 44 + 12
8w = 56
56 divided by 8 = 7
w = 7
Complete the square for the expression. Then factor the trinomial.
x2 - 6x
Expression:
Factored form:
Expression: x² - 6x + 9
Factored form: (x - 3)²
Using the concept of factorization.
What is factorization?The breaking or breakdown of an entity (such as an integer, a matrix, or even a polynomial) into such a combination of some other unit, or factors, whose multiplication yields the original number, matrix, etc., is known as factorization or factoring in mathematics.
Similarly to this, factoring is a very useful technique in algebra that is utilized at all levels. Additionally, to, of course, simplify complex expressions, it offers a standard way for solving quadratic equations. Graphing functions also makes advantage of it.
Factor the expression, put each factor equal to 0, and then solve each equation to solve a quadratic equation by factoring. To do this, rearrange all terms on one side of the equation such the other side equals 0.
Given that,
x² - 6x
Now, to find the value of c = (b/2)²
divide the coefficient of x by 2.
So, divide 6 by 2 we get: ( -1.3)²
Next, multiply -1 by 3: (-3)²
Now, raise -3 to the power of 2, we get: 9
So, the expression becomes: x² - 6x + 9
Factorized form: (x - 3) (x -3)
or we can write (x - 3)²
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Give the following number
in Base 10.
F16 = [? ]10
The next decimal number should be changed to hexadecimal. Your final response may contain up to six fractional digits. In decimal 386210, subscript 10 to F16.
How do you write a number in base 10?F16 is 001000011000.1111. 218. F716 is 001000011000.111101112. 710 = (h0)16 = 716 is how the hexadecimal number is represented. It is necessary to add a 1 to the left and modify the number for both to 0. In base-2, the numeral 15 is represented as 1111, and the number 16 is represented as 10000. The greatest value in base-16 is the letter F, in a similar vein. such that 10 is the new value.
Binary 10 equals 1010, thus. Dividing 10 by 2 successively until the quotient equals 0 will yield the decimal to binary equivalent. By writing the remainder in each division step from bottom to top, it is possible to determine the binary equivalent.Base-16 is the definition given to hexadecimal. There are many powers of 16 in each place value in the number. The hexadecimal numbers are: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. 10 through 15 are represented, accordingly, by the letters A through F.
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3/5 of carl's money is $27.00. how much is 1/2 of his money
Answer:
$22.5
Step-by-step explanation:
$27.00/3/5=45
45*1/2=$22.5
I thought of a number, added 26 to it, and then divided the result by 20.what is my number?
Answer:
Step-by-step explanation:
14 MAY BE
Manuel's small dog eats
1
8
bag of dog food in 1 month. His large dog eats
5
8
bag of dog food in 1 month.
How many bags do both dogs eat in 6 months?
Answer:
I wanna say 348?? maybe.... I think
How can the graph of f(x) = 35x be transformed to represent the function g(x) = 35x – 3?
Translate the graph of f(x) - 3 units.
The point is on the graph of g(x).
Answer: Down | ( 8, -1 )
Step-by-step explanation:
Did the assignment
Find the slope of the line 6x - 2y = -16
Answer:
The slope is 3
Step-by-step explanation:
George is building a fence in his backyard. One side of the yard has a row of trees that is 15 feet long. This row of trees will serve as part of the fence. If that side of the fence needs to be 26 feet long, George will need feet of fence to finish that one side.
Answer:
11
Step-by-step explanation:
26-15=11
Two parallel lines are crossed by a transversal.
Horizontal and parallel lines b and c are cut by transversal a. At the intersection of lines b and a, the bottom right angle is 50 degrees. At the intersection of lines c and a, the top left angle is y degrees.
What is the value of y?
The value of y is 130°
What are corresponding angles?The angles occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
Given here:
Horizontal and parallel lines b and c are cut by transversal a. At the intersection of lines b and a, the bottom right angle is 50 degrees. At the intersection of lines c and a, the top left angle is y degrees.
Thus the angle adjacent to the 50-degree angle will be 130
but this angle corresponds to the angle y thus y=130 as corresponding angles are equal when a transversal intersects two parallel lines
Hence, The value of y is 130°
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PLEASE HELP WITH EASY FRACTIONS APPRECIATED MUCH!!!
Answer: 3/4 is right
Step-by-step explanation:
7 time a number , increased by 4
Answer:
7 times a number increased by 4 times the number
Let a number and the number be an arbitrary variable. Let's call it x. We have an algebraic expression. Let's take it in pieces:
7 times a number: 7x
4 times the number: 4x
The phrase increased by means we add 4x to 7x:
7x + 4x
Simplifying, we get: (7 + 4)x
11x
Step-by-step explanation:
a decrease of 70% in9,600 gal
Answer:
The answer to this question is 6720
What are the x-intercepts of the following graph? On a coordinate plane, a parabola opens down and goes through (negative 2, 0), has a vertex at (0, 4), and goes through (2, 0). a. (0, 2) and (0, -2) c. (2, 0) and (-2, 0) b. (0, 4) d. (1, 0) and (3, 0)
Answer:
C
Step-by-step explanation:
If you read the question carefully, you find that the function goes through (- 2,0) and (2,0)
Where the y value = 0 you have points that are x intercepts. The answer is anything where the y value = 0
The x intercepts are (-2, 0 ) and (2,0)
The answer is C
Answer:
c
Step-by-step explanation
(2, 0) and (-2, 0)
3. Selecting three desserts from eight possible choices on a menu. How
many choices are there if you determine a 1st, 2nd and 3rd rank. What are
the possible outcome? Show all evidence of understanding.
Answer:
56 possible outcomes
Step-by-step explanation:
Order does not matter in this case, so we will find all the possible combinations:
8 nCr 3 = 8! / ((8 – 3)! 3!) = 40320 / 720 = 56
Therefore, there are 56 possible outcomes.
Simplify the difference. (2w2 – 8w – 8) – (5w2 + 3w – 5)
Answer:
-3w2-11w-3
Step-by-step explanation:
take w2 and w as variables. you can substitute it as w2=y and w=X then expand brackets
2y-8x-8-5y-3x+5
note that the signed changed at the second part because it was expanded with the minus sign which is basically like -1, so it changes the signs
then you collect like terms:
2y-5y-8x-3x-8+5= -3y-11x-3
now put substitute back w2=y and w=X
-3w2-11w-3
if it won't be a problem solving with w2 and w, then you skip the substitution part and solve the same
Find the radius of the circle, if the big square is 30 square units more than the area of the small square.
Answer:
The area of a square is equal to the side length of the square squared. If the side length of the small square is "s" and the side length of the big square is "b", then we can write the following two equations to represent the area of the two squares:
Area of small square = s^2
Area of big square = b^2
Since the area of the big square is 30 units more than the area of the small square, we can write the equation:
b^2 = s^2 + 30
To find the radius of the circle, we need to find the side length of the small square. To do this, we can rearrange the equation above to solve for s:
s^2 = b^2 - 30
s = sqrt(b^2 - 30)
Now we just need to find the value of "b", which is the side length of the big square. To do this, we can use the fact that the big square is inscribed in the circle, so the side length of the big square is equal to the diameter of the circle. Let's call the diameter of the circle "d". Then we can substitute "d" for "b" in the equation above:
s = sqrt(d^2 - 30)
To find the radius of the circle, we just need to divide the diameter of the circle by 2, so the radius is equal to "d" divided by 2. Therefore, the radius of the circle is:
r = d/2 = sqrt(d^2 - 30)/2
So to find the radius of the circle, we just need to know the diameter of the circle. Can you provide the diameter of the circle in the question?:
The radius of the circle is: r = d/2 = sqrt(d^2 - 30)/2
What is area of circle?The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately 3.142
Here, we have,
The area of a square is equal to the side length of the square squared. If the side length of the small square is "s" and the side length of the big square is "b", then we can write the following two equations to represent the area of the two squares:
Area of small square = s^2
Area of big square = b^2
Since the area of the big square is 30 units more than the area of the small square, we can write the equation:
b^2 = s^2 + 30
To find the radius of the circle, we need to find the side length of the small square. To do this, we can rearrange the equation above to solve for s:
s^2 = b^2 - 30
s = sqrt(b^2 - 30)
Now we just need to find the value of "b", which is the side length of the big square. To do this, we can use the fact that the big square is inscribed in the circle, so the side length of the big square is equal to the diameter of the circle. Let's call the diameter of the circle "d". Then we can substitute "d" for "b" in the equation above:
s = sqrt(d^2 - 30)
To find the radius of the circle, we just need to divide the diameter of the circle by 2, so the radius is equal to "d" divided by 2. Therefore, the radius of the circle is:
r = d/2 = sqrt(d^2 - 30)/2
So to find the radius of the circle, we just need to know the diameter of the circle.
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PLEASE HELP!!
I’m rlly struggling with my hw rn
There you have it, your answer
Step-by-step explanation:
Easy
classify the angles below as acute, right, obtuse or straight
Answer:
Obtuse - over 90°
Acute - less than 90°
Right - 90°
Straight - 180°
1. Obtuse
2. Acute
3. Right
----------------------------------------------------------------------
Step-by-step explanation:
nzkaoavdvsoasb xzakoakaidbzbsva
Answer:
See attached
Step-by-step explanation:
Solution is below
From a rock ledge, the angle of elevation to the top of a tree is 22°. The angle of depression to the base of the tree is 12°.
a) Find the height of the rock ledge, to
the nearest metre.
b) Find the height of the tree, to the
nearest metre.
The height of the rock ledge will be 20.35 meters.
The height of the tree will be 58.75 meters
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The angle of elevation to the top of a tree is 22°.
And, The angle of depression to the base of the tree is 12°.
Now,
Let the height of the rock ledge = x
So, By figure, we get;
⇒ tan 12° = x / 96
⇒ x = 96 × tan 12°
⇒ x = 20.35 meters
And, Let total height of the tree = x + y
= 20.35 + y
Hence, By figure, we get;
⇒ tan 22° = y / 96
⇒ y = 96 × tan 22°
⇒ y = 96 × 0.40
⇒ y = 38.4 meter
Thus, The height of tree = 38.4 meters + 20.35 meters
= 58.75 meters
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To find:-
The height of the rock ledge.Height of the tree .Answer:-
Part A :-
Here we can see that the distance between the rock ledge and the base of the tree is 96m . Also the angle of elevation to the top of the tree from the rock is 22° .
Firstly, we can see that,
[tex]\implies \angle CAD =\angle EDA = 12^o\\[/tex]
This is so because they are alternate interior angles .
Now , in ∆ADE ,
[tex]\implies \tan\theta =\dfrac{p}{b}=\dfrac{AE}{ED}\\[/tex]
[tex]\implies \tan 12^o =\dfrac{AE}{96m} \\[/tex]
[tex]\implies AE = 96\tan12^o m \\[/tex]
[tex]\implies AE = 96 (0.21)m \\[/tex]
[tex]\implies AE = 20.16 \ m \\[/tex]
Hence the height of the rock ledge is 20.16 m.
_______________________________________
Part B :-
Now in ∆ACB , we have;
[tex]\implies \tan\theta =\dfrac{BC}{AC} \\[/tex]
[tex]\implies \tan 22^o =\dfrac{BC}{96m} \\[/tex]
[tex]\implies BC = 96\tan 22^o \ m \\[/tex]
[tex]\implies BC = 96(0.4) m \\[/tex]
[tex]\implies BC = 38.4 \ m \\[/tex]
Now the total height of the tree will be = BC + AE
[tex]\implies h_{tree}= BC + AE \\[/tex]
[tex]\implies h_{tree}=38.4\ m + 20.16 \ m =\boxed{58.56\ m} \\[/tex]
Hence the height of the tree is 58.56m.
and we are done!
. This line plot shows how many miles Maya walked this week.
Answer:
60.5 or 60 1/2
Step-by-step explanation:
7 (2)
8.5 (1)
9 (1)
9.5 (2)
10 (1)
14 + 8.5 + 9 + 19 + 10
60.5
Please help…. The table below shows the amount of money Linda spends for a craft demonstration
to get the equation of any straight line, we simply need two points off of it, let's use those ones in the picture below.
[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{32})\qquad (\stackrel{x_2}{15}~,~\stackrel{y_2}{53}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{53}-\stackrel{y1}{32}}}{\underset{\textit{\large run}} {\underset{x_2}{15}-\underset{x_1}{8}}} \implies \cfrac{ 21 }{ 7 } \implies 3[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{32}=\stackrel{m}{ 3}(x-\stackrel{x_1}{8}) \\\\\\ y-32=3x-24\implies {\Large \begin{array}{llll} y=3x+8 \end{array}}[/tex]
Lydia used 1/3 pound of peppers and 1/10 pound of cheese to make 3 pizzas. If Lydia uses the same recipe to make 1 pizza, how much cheese is needed?
Answer: Lydia used 1/3 pound of peppers and 1/10 pound of cheese to make 3 pizzas, which means that she used 1/3 / 3 = 1/9 pound of peppers and 1/10 / 3 = 1/30 pound of cheese per pizza.
If Lydia uses the same recipe to make 1 pizza, she will need 1/9 pound of peppers and 1/30 pound of cheese. Therefore, the amount of cheese needed is 1/30 pound.
Step-by-step explanation:
Help pls I’ll give extra points
Answer:
1. Gorgeous
2. Tremendous
3. Coarse
4. Crackling
5. Appetizing
Step-by-step explanation:
Those are the only words that make sense in each square.
Answer:
1.) gorgeous
2.) tremendous
3.) crackling
4.) coarse
5.) appetizing
6.) buttery
7.) magnificent
Hope this helps!
How to solve Mathematics techniques
Answer:
you can add them
Step-by-step explanation: