Answer:
A
Step-by-step explanation:
4360+(4360(0.511)) Equals 6590 when rounded up
The correct answer is Absolute change: 2230 and Percentage change: 51.1%. So, correct option is A.
To calculate the absolute change and percentage change, we need to subtract the initial measurement from the final measurement and then calculate the percentage change relative to the initial measurement.
Given that the population of Placerville grew from 4360 a decade ago to 6590 today, we can calculate the absolute change as follows:
Absolute change = Final measurement - Initial measurement
Absolute change = 6590 - 4360
Absolute change = 2230
Therefore, the absolute change in population is 2230.
To calculate the percentage change, we divide the absolute change by the initial measurement and multiply by 100:
Percentage change = (Absolute change / Initial measurement) * 100
Percentage change = (2230 / 4360) * 100
Percentage change ≈ 51.1%
Hence, the correct answer is:
a. Absolute change: 2230
Percentage change: 51.1%
Therefore, option a is the correct choice.
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Please i need help desperately.
The minimum cost is $210.
Forgetting the situation for just a second, we can take a look atthe equation.
c(x)=x^2-40x+610
It is a parabola that opens upward and has a minimum value.
That minimum value will be the minimum cost of the taco stand.
The equation x=-b/2a gives you the axis of symmetry of theparabola. Basically, it goes right down the middle of the parabola,right through its minimum
In the equation c(x)=x^2-40x+610, a=1 and b=-40
x=-b/2a
x=-(-40/2(1)) = 20
So 20 tacos should be sold to achieve the minimum cost.
To find the cost, return to the original equation.
c(x)=x^2-40x+610
c(20)=(20)^2-40(20)+610 = 210
So the minimum cost is $210.
A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.
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The minimum cost of the function is $210.
A function is defined as the representation of a set of variables known as the domain which are mapped onto another set of variables called the range.
The most common function is of the form y = f(x) , where x is the independent variable and y is the dependent variable and f(x) is the function.
The given function is of the form:
c(x) = x² - 40 x + 610
To find the maximum or minimum point of the function we find the second degree derivative of the function.
c'(x)=2x -40
Now we find the second degree derivative.
c"(x) = 2 > 0 so we know that c(x) is minimum at x for c'(x)=0.
Therefore c'(x) = 0
or , 2x-40 = 0
or , x = 20
Now the minimum value of the function is
c(20) = 20² - 40 (20) + 610
or, c(20) = 400 - 800 + 610
or, c(20) = 210
Hence the minimum value of the function is $210.
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What is the mapping rule you use to reflect a figure across the y-axis?
Find the length of YZ if Y is between X and Z
Given: XY = 8a, YZ = 6a, XZ = 2a + 50
Answer:
25
Step-by-step explanation:
By the segment addition postulate,
[tex]XY+YZ=XZ \\ \\ 8a+6a=2a+50 \\ \\ 14a=2a+50 \\ \\ 12a=50 \\ \\ a=\frac{25}{6} \\ \\ \therefore YZ=6(25/6)=25[/tex]
in terms of height.
9 Modelling The inside of a saucepan has diameter 20 cm and height 13 cm.
The manufacturer claims that the pan has a capacity of 4 litres.
Is the claim correct?
Explain your answer.
Step-by-step explanation:
this is practically a cylinder.
the volume of a cylinder is
ground area × height = pi×r² × height.
r being the radius (half of the diameter).
so, we have here
V = pi×10² × 13 = pi × 100 × 13 = 1300pi =
= 4,084.07045... cm³
1 liter = the content of a cube with 10 cm side length.
10×10×10 cm³ = 1000 cm³ = 1 liter.
the pan has a volume of 4,084.07045... cm³, so, yes, it has the capacity of 4 liters as 4×1000 cm³ (and a little bit extra).
Find the total cost to the nearest cent.
$20 haircut; 10% tip
Answer:
$22.00
What is a tip in sales?A tip in sales is an added monetary contribution to the worker responsible for your bill. Tips are usually in percentage form and represent a portion of the total before you add a tip.
To find a tip in sales, convert the percentage to a decimal and then add 1 to that decimal. Finally, multiply the total by this sum.
SolveTo solve, first convert the percentage into a decimal by dividing by 100.
[tex]\displaystyle \frac{10}{100}[/tex]
[tex]0.1[/tex]
Then, add 1 to this quotient.
[tex]1+0.1 =1.1[/tex]
Finally, multiply the total ($20) by this sum.
[tex]20\times 1.1[/tex]
[tex]22[/tex]
Therefore, the total cost is $22.00.
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The total cost to the nearest cent is $22.00 when haircut is $20 and tip is 10%.
To find the total cost, we need to add the cost of the haircut and the tip amount.
Given:
Haircut cost = $20
Tip percentage = 10%
First, calculate the tip amount:
Tip = (10/100) × Haircut cost
Tip = (10/100) × $20
Tip = $2
Add the haircut cost and the tip amount to find the total cost:
Total cost = Haircut cost + Tip
Total cost = $20 + $2
Total cost = $22
Therefore, the total cost to the nearest cent is $22.00.
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Determine the function that satisfies the following conditions.
Find sin theta when cos theta= 0.319 and tan theta <0.
The value of sinФ = 0.139 for the given cosФ = 0.139 and tanФ > 0.
What is termed as the trigonometric equations?Trigonometry is a branch of mathematics that focuses on specific angle functions and their implementation to calculations. In trigonometry, there are 6 functions of an angle that are commonly used. A trigonometric equation is one that involves one or more unknown trigonometric ratios. It is expressed as sine(sin), cosine(cos), and tangent ratios (tan), A trigonometric equation is a formula that contains a variable and a trigonometric function. A trigonometric equation is, for example, sin x + 2 = 1.The given trigonometric function is-
cosФ = 0.139.
We know the relation of sin and cos functions.
sin²Ф + cos²Ф = 1
Thus,
sinФ = √(1 - cos²Ф)
Put the value of cosФ = 0.139
sinФ = √(1 - 0.139²)
sinФ = √0.981
sinФ = 0.139
Thus, the value of the trigonometric function sinФ = 0.139.
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Consider polynomial function f.
f(x) = (x - 1)²(x + 3)³(x + 1)
Use the equation to complete each statement about this function.
The zero located at x = 1has a multiplicity of 2, and the zero located at x = -3has a multiplicity of 1
The graph of the function will touch, but not cross, the x-axis at an x-value of
Reset
Next
Answer: somehow got that v
Step-by-step explanation:
f=
x6+8x5+17x4−8x3−45x2+27
x
A school has 1256 pupils write this number to the nearest 10 , 100 and 1000
The required solution of the number to the nearest 10 , 100 and 1000 is 1260, 1300, 1000.
What is rounded number?A number that is easily multiplied, divided, etc., and especially a number that ends in zero.
Given:
A school has 1256 pupils write this number to the nearest 10 , 100 and 1000
According to given question we have
⇒ Round off to 10 for 1256 is 1250 or 1260 but nearest to 1256 is 1260.
⇒ So, round off to the nearest 10 is 1260.
⇒ Round off to 100 for 1256 is 1200 or 1300 but nearest to 1260 is 1300.
⇒ So, round off to the nearest 100 is 1300.
⇒ Round off to 1000 for 1256 is 1000 or 2000 but nearest to 1256 is 1000.
⇒ So, round off to the nearest 1000 is 1000.
∴ The answer is 1260,1300,1000.
Therefore, the required solution of the number to the nearest 10 , 100 and 1000 is 1260, 1300, 1000.
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what is the answer for 5 - ( -7) = 5 + _____
write as addition
please give explanation for this
The complete statement is 5 + 7
What is the commutative property of addition?The commutative property of addition is a mathematical rule stating that a change in the order or arrangement of the numbers being added does not affect the sum.
It is also important to note the following sign changes;
(-) (-) = +
(+) (+) = +
(-)(+) = -
(+)(-) = -
Given the expression;
5 - ( -7)
We know that the signs (-)(-) is equivalent to (+) sign
Substitute into the expression;
5 + 7
Thus, the complete statement is 5 + 7
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(FUNCTIONS & RELATIONS/TRANSFORMATIONS)
f(x) = x² -2x - 1
Find the image of 3
and the image of -2
The image of 3 and the image of -2 are 2 and 7, respectively
How to find the image of 3 and the image of -2?The equation of the function is given as
f(x) = x^2 - 2x - 1
To determine the image of 3 and the image of -2, we set x to the following values
x = 3 and -2
Substitute x = 3 and -2 in the equation f(x) = x^2 - 2x - 1
So, we have
f(3) = (3)^2 - 2(3) - 1 = 2
f(-2) = (-2)^2 - 2(-2) - 1 = 7
Hence, the image of 3 and the image of -2 are 2 and 7, respectively
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The party is at 3 pm in only 12 minutes the party starts. what time is it right now?
well, let's say is 3pm, now, let's take away 10 minutes, that means 2:50pm, now let's take away another 2 minutes, that's 2:48pm.
PLEASE I REALLY NEED HELP ON THIS QUESTION OR I WILL FAIL PLEASE HELP!!!
A school district has paid a construction business 1.5 million to build a school, but still needs to pay the construction business 12.35 million for the total amount of work. How much will it cost to build the school?
PLEASE SHOW WORK!
Answer:
13.85 million $
Step-by-step explanation:
the man just add 12.35 and 1.5
therefore = 13.85 million $
what is the following ratio using two other notations. 3:8
Answer:
3 to 83/8Step-by-step explanation:
You want to see two other ways to write the ratio 3:8.
RatiosA ratio is a way of saying that some number of one thing is always associated with some (often different) number of another thing. The two things may or may not be measured with the same units, and may or may not refer to parts of the same object.
Here, we're concerned with how we write a ratio. One way is shown in the problem statement:
3 : 8 . . . . . . . . using a colon
Two other ways to write the same ratio are ...
3 to 8 . . . . . . using the word "to"
3/8 . . . . . . . . using a fraction bar
__
Additional comment
A ratio is in "simplest form" if the numbers involved are mutually prime (have no common factors).
Sometimes an extended ratio is useful for specifying the relationship between more than two measures, for example, 3 : 8 : 5.
write ____ as a single power of 3
Answer:
[tex]3^{16/5}[/tex]
Step-by-step explanation:
[tex]3^3 \times \sqrt[5]{3} \\ \\ =3^3 \times 3^{1/5} \\ \\ =3^{16/5}[/tex]
Find the next two terms of the sequence:
5, 15, 45, 135, 405, 1215
The next two terms of the sequence are blank and blank
Answer:
3645, 10935
Step-by-step explanation:
1215*3 = 3645
3645*3= 10935
Which number gives you a rational sum when you add it to 4/7 ?
(xy^4)^3 simplify simplify simplify
Answer:
[tex]x^3y^{12}[/tex]
Step-by-step explanation:
[tex]\left(xy^4\right)^3\\\left(xy^4\right)^3=x^3\left(y^4\right)^3\\=x^3\left(y^4\right)^3\\=(y^4)^3\\=(y)^{4\times 3}\\= y^{12}\\= x^3y^{12}[/tex]
[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\textsf{By using the \textbf{Exponent Property}, we can simplify this.}[/tex]
[tex]\textsf{This is what it states:}[/tex]
[tex]\sf{(x^m)^n=x^{(m*n)}}[/tex]
[tex]\textsf{Multiply:}[/tex]
[tex]\sf{(xy^4)^3=x^3y^{3*4}=x^3y^{12}}[/tex]
[tex]\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star[/tex]
f(t) = 10.72(0.9t + 10)0.3 (0 ≤ t ≤ 20)
where t is measured in years, with t = 0 corresponding to the year 2000.† At what rate was the percentage of Americans age 55 and older changing at the beginning of 2008? (Round your answer to four decimal places.)
____ % per year
At what rate was the percentage of Americans age 55 and older changing in 2017? (Round your answer to four decimal places.)
____% per year
What was the percentage of the population of Americans age 55 and older in 2017? (See Note on page 168. Round your answer to two decimal places.)
____%
a) The rate % at the beginning of 2008 rounded off to four decimal places will be 25.1682 % per year.
b) The rate % at the beginning of 2017 rounded off to four decimal places will be 28.2573 % per year .
c) The rate % at the beginning of 2017 rounded off to two decimal places will be 28.26% per year.
What is a function ?
A function is a relationship between inputs and outputs where each input has precisely one output and the output can be linked to its input.
It is given that , a function which represents rate % is f(t) = 10.72 × [tex](0.9t + 10)^{0.3}[/tex]. Also , t = 0 corresponding to the year 2000.
The rate % of Americans age 55 and older changing at the beginning of 2008 i.e., t = 8 , rounded off to four decimal places will be :
So : f(t) = 10.72 × [tex](0.9* 8 + 10)^{0.3}[/tex]
f(t) = 10.72 × [tex](7.2+ 10)^{0.3}[/tex]
f(t) = 10.72 × [tex](17.2)^{0.3}[/tex]
f(t) = 10.72 × 2.347
f(t) = 25.1682 % per year
The rate % of Americans age 55 and older changing at the beginning of 2017 i.e., t = 17 , rounded off to four decimal places will be :
f(t) = 10.72 × [tex](0.9* 17 + 10)^{0.3}[/tex]
f(t) = 10.72 × [tex](15.3 + 10)^{0.3}[/tex]
f(t) = 10.72 × [tex](25.3)^{0.3}[/tex]
f(t) = 10.72 × 2.6359
f(t) = 28.2573 % per year
The rate % of Americans age 55 and older changing at the beginning of 2017 rounded off to two decimal places will be :
f(t) = 28.26% per year
Therefore , the answers are :
a) The rate % at the beginning of 2008 rounded off to four decimal places will be 25.1682 % per year.
b) The rate % at the beginning of 2017 rounded off to four decimal places will be 28.2573 % per year .
c) The rate % at the beginning of 2017 rounded off to two decimal places will be 28.26% per year.
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Use the Distributive Property to determine which of the following statements is equivalent to 4(8 – 1).
Answer: 4*8 - 4*1
Or you could write it as 4(8) + 4(-1)
The distributive property in general is a(b+c) = ab+ac. We multiply the outer term 'a' with each term inside.
Unit 3: Parallel & Perpendicular Lines Homework 6: Slope Intercept & Standard Form y= -3 and x=-6
The slope Intercept and the standard form of the equation are y = -1/2x - 3 and x + 2y = -6
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the slope Intercept and the standard form of the equation?The given parameters are
y= -3 and x=-6
The above represent the y and the x intercepts
i.e.
y-intercept = -3
x-intercept = -6
A linear equation is represented as
y = mx + c
Where
c = y-intercept = -3
So, we have
y = mx - 3
At x-intercept = -6, we have
y = 0
So, we have
0 = m(-6) - 3
This gives
m = -1/2
So, we have
y = -1/2x - 3 --- slope-intercept form
Multiply through by 2
So, we have
2y = -x - 6
Rewrite as
x + 2y = -6 ----- standard form
Hence, the slope Intercept and the standard form of the equation are y = -1/2x - 3 and x + 2y = -6
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1. Clark rounded 4.359 to 4.36. He rounded to the nearest (tenths, hundredths, thousandths) Please circle.
Answer: to the nearest hundredth
I hope this helps!
pls help me with this:(. What is 532 divided by 46. Can you help?
Answer: 11.5652174
.
Hello I'm Ash I'm here to help you! <3
Answer:
11 Remainder 26
Step-by-step explanation:
The number 532 is called the numerator or dividend, and the number 46 is called the denominator or divisor.the quotient and remainder of 532 divided by 46 = 11 R 26The quotient of 532÷ 46 equals 11; the remainder (“ the number left over”) is 26.I hope this Helps!
Answered by:AshTheNeko <3
9 (8 + 4) using pemdas
Answer:
108
Step-by-step explanation:
9(8 plus 4)
Simply do 8 plus 4 = 12 then 12x9=108
Big ideas math question
Given the function P(n)=3n^4+30n^3+63n^2
its P -intercept is
its n -intercepts are
The P-intercept of the function P(x) is 0.
The n -intercepts of the function are n = 0, -3 and -7
How to find the intercepts of a function?
We are given the function;
P(n) = 3n⁴ + 30n³ + 63n²
Now, the P intercept of the function P(n) will occur when n = 0. Thus;
P(0) = 3(0)⁴ + 30(0)³ + 63(0)²
P(0) = 0
Thus, the P intercept of the function P(x) is 0.
Now, the n-intercept will be the roots of the given function P(x). Thus;
3n⁴ + 30n³ + 63n² = 0
n²(3n² + 30n + 63) = 0
Thus;
n² = 0 or 3n² + 30n + 63 = 0
Using quadratic equation calculator we have;
n = 0, -3 and -7
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A professor expects the education and health service industries to increase total employees by 14.8% from 2009 to 2016. Based on the employment graph below, approximately how many new jobs will the education and health service industries gain between 1/2009 and 1/2016?
Based on the number of people employed in education and health service industries in 2009, the number of new jobs that will be gained between 1/2009 and 1/2016 is b. 2,826,800 people.
How many jobs will be gained?The number of total jobs in 2016 can be found as:
= Number of jobs in education and health service industries x (1 + rate of increase)
= 19,200,000 x (1 + 14.8%)
= 19,200,000 x 1.148
= 22,041,600 people
The number of new jobs are:
= 22,041,600 people - 19,200,000
= 2,841,600 people
= 2,826,800 people approximate
Graph and options for the question are:
Education and Health Services - All Employees, 2000-2009 A line graph titled Education and Health Services, All Employees, 2000 to 2009, where the x-axis shows years and the y-axis shows all employees, in thousands. Line starts at 15,000 on January 2000, and increases gradually to 16,000 on January 2002, 17,200 on January 2005, 18,100 on January 2007, and 19,200 on January 2009.
a. 21,926,800
b. 2,826,800
c. 16,273,200
d. 1,790,600
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Answer:
b on edge
Step-by-step explanation:
Find the number of distinct permutations that can be formed from all the letters of each word (1) UNUSUAL.
The number of unique permutations that may be made from all of the letters in each word 210.
What is permutations?The number of alternative arrangements of such an object in different orders or sequences is referred to as its permutation. These are typically computed using factorials, as denoted by the symbol. Only natural numbers are utilized in factorials.
Assume we wish to find the number of various permutations of n objects, where p items are one type, q items are another, r items are yet another, and so on.
According to the given data:For the word 'UNUSUAL' there are 7 letters. Then there are 7! possibilities.
We have to divide this by the number of possibilities where letters would replace the same letters.
there are letter U repeated 3 time so 3!
= [tex]\frac{7!}{3!}[/tex]
= 210
the number of unique permutations that may be made from all of the letters in each word 210.
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Cynthia Besch wants to buy a rug for a room that is 18 ft wide and 32 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 176 square feet of carpeting. What dimensions should the rug have?
The rug will have dimension of 8ft. wide and 22ft. long.
Dimensions of room :
Wide (w) = 18 ft.
Long (l) = 32 ft.
Area of the room = l × w
= 32 × 18 = 576 ft²
Cynthia wants to leave a uniform strip of floor around the rug.
Let the width of the rug = x ft.
Then the dimensions of the rug will be = (18- 2x)ft. × (32- 2x)ft.
Area of the rug = (18 - 2x) × (32 - 2x) ft²
176 = (18 - 2x) × (32 - 2x)
176 = 576 - 36x - 64x + 4x²
4x² - 100x + 400 = 0 ( Divide the equation by 4 )
x² - 25x + 100 = 0
x² - 20x - 5x + 100 = 0
x(x - 20) -5(x - 20) = 0
(x - 20) (x - 5) = 0
x = 20, 5
If we take 20 as x then it will become a negative number when we will substract it from dimensions of the rug.
Therefore, The width of the rug will be 5 ft.
Thus, The Dimension of the rug = (18- 2x)ft. × (32- 2x)ft.
= (18 - 10) × (32 - 10)
= 8ft. × 22ft.
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The vertices of a figure are R(-7, - 5), S(-1,
- 2), and T(-1.
- 5. Find the coordinates of the
image after the figure rotates 90° counterclockwise about the origin. Then translates 3 units left and 8
units up.
The co-ordinates of the image after translation are R"(2,1),S"(-1,7) and T"(2,7).
A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
When a point is rotated 90° counter clockwise, the co-ordinates of the point say A(x ,y) changes to A"(y,-x).
The given co-ordinates are: R(-7, - 5), S(-1,- 2), and T(-1.- 5 ).
So when this co-ordinates are translated by rotating 90° counterclockwise.
R(-7, -5) →R'(5,-7)
S(-1,- 2) →S'(2,-1)
T(-1.- 5) →T'(5,-1)
Now the figure is translated 3 units left and 8 units up the new co-ordinates is given by (x-3,y+8).
So when this co-ordinates are translated the new co-ordinates are:
R'(5,-7)→R"(2,1)
S'(2,-1)→S"(-1,7)
T'(5,-1)→T"(2,7)
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trains on two different routes at the same train station. Train on one route stop there every 9 minutes and trains on the other route stop there every 6 minutes
When the train on one route stop there every 9 minutes and trains on the other route stop there every 6 minutes, the time when they will stop at same time is 18 minutes.
How to illustrate the information?From the information, the train on one route stop there every 9 minutes and trains on the other route stop there every 6 minutes.
Therefore, the time when will they stop at same time will be the lowest common multiple for 9 and 6. This is 18. Therefore, 18 minutes is the appropriate answer.
Therefore, the the time when they will stop at same time is 18 minutes.
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Trains on two different routes at the same train station. Train on one route stop there every 9 minutes and trains on the other route stop there every 6 minutes. When will they stop at same time?