Answer:
If it is assumed that the change was constant from 2009 and 2012 , then change of population is 142 .
Step-by-step explanation:
In the question, it is given that the population of a small town increased from 1442 to 1868 between 2009 and 2012 .
It is asked to find the change of population if it is assumed that the change was constant from 2009 and 2012 .
Step 1 of 2
Population in 2012 is given to be 1868 and
Population in 2009 is given to be 1442 .
Duration of year is given by 2012-2009 which is 3 years.
Change in population is given by 1868-1442 which is 426 .
Step 2 of 2
Change in population per year is given by dividing the change in population and the duration of years it took to happen the change.
Hence, change in population per year is
[tex]$\frac{426}{3}=142$[/tex]
Hence, the population was changed by 142 per year from 2009 to 2012 .
Which equations should Amber graph?
Answer:
amber should graph the second equation
help meeeeeee please
Determine the length of AB. Write your answer in simplest form.
By using the definition of similarity between triangles and algebraic properties, the length of the segment AB of the system is equal to 4 units.
How to determine the length of the segment AB
In this problem we have two similar triangles and we need first to determine the lengths of segments AC and BC and then subtract the length of the latter from the length of the former, that is:
AC/BC = CE/CD
AC/2 = 15/5
AC = 6
AB = AC - BC
AB = 6 - 2
AB = 4
By using the definition of similarity between triangles and algebraic properties, the length of the segment AB of the system is equal to 4 units.
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PGCPS
Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 3 ≤ x ≤ 6.
Answer:
X
1
2
3
4
5
6
f(x)
69
64
59
54
49
44
Need Help
Answer: -5
Step-by-step explanation:
[tex]\frac{g(6)-g(3)}{6-3}=\frac{44-59}{3}=-5[/tex]
10; your car travels for 10 hours.
The algebraic expression that represents the total distance traveled by the car is 10s
How to determine the algebraic expression?The given parameters are:
Speed = s miles per hourTime = 10 hoursThe distance is calculated using:
Distance = Speed * Time
So, we have:
Distance = s* 10
Evaluate
Distance = 10s
Hence, the algebraic expression that represents the total distance traveled by the car is 10s
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Complete question
Your car travels for 10 hours at an average speed of s miles per hour. Write an algebraic expression that represents the total distance traveled by the car
What is the length of DE?
Answer:
C. 6
Step-by-step explanation:
[tex]\frac{ZY}{FE} =\frac{XY}{DE}[/tex]
[tex]\frac{12}{8} =\frac{9}{DE}[/tex]
[tex]12DE=(9)(8)[/tex]
[tex]DE=\frac{(9)(8)}{12} =\frac{72}{12} =6[/tex]
Hope this helps
Triangle ABC is translated 6 units to the right and 1 units up.
What are the coordinates of C’?
C’(4, –2)
C'(4, –0)
C'(4, 2)
C'(1, 2)
The coordinate of the point C from the given triangle ABC after translation is C' = (4, -2)
Translation of coordinatesA triangle is a 2D figure with 3 sides and angles. Given the coordinate C points of the triangle;
C = (-2, -3)
If these coordinate point is translated 6 units to the right and 1 units up, the resulting coordinate will be at:
C' = (-2 + 6, -3 + 1)
C' = (4, -2)
Hence the coordinate of the point C from the given triangle ABC after translation is C' = (4, -2)
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Answer: the answer is A C'(4, -2)
Step-by-step explanation:
*Written Response Question*
The image below shows two dilated figures with lines KO and K’O’ drawn. If the larger figure was dilated using a scale factor of 5, what relationship do lines KO and K’O’ have?
The relationship between lines KO and K’O’ is given as Line K'O' = 5 * line KO
What is a transformation?Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.
Dilation is the increase or decrease in size of a figure by a scale factor.
The larger figure was dilated using a scale factor of 5, hence:
Line K'O' = 5 * line KO
The relationship between lines KO and K’O’ is given as Line K'O' = 5 * line KO
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If all the values in a set of data are the same, which of the following is true? (Check all that apply.)
(A) The median and mode are the same.
(B) The range is zero.
(C) The range and mode are the same.
(D) The low and high values are the same.
What does 64. 75 inch height mean?
Answer:
5'4.75 feetStep-by-step explanation:
60 inches is 5 feet, so just add on the remaining inches to get
5 feet and 4.75 inches
Determine the period.
Answer:
13
Step-by-step explanation:
The graph will start repeating after every 13 degrees
The period of the function is of 12 units.
What is the period of a function?The period of the function is the interval between repetitions of any function. A trigonometric function's period is the length of one whole cycle. As a starting point, we can use x = 0 for any trigonometry graph function.
The period of a function is given by the distance between it's repetitions.
Also, it is the distance between two peak value.
Looking at the graph, the distance between the repetitions is of
= 13- 1
= 12 units, which is the period of the function.
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L = 5t + 12
Please choose an answer.
The cost of renting a canoe L depends on the number of hours t of rental. The cost is $12 for equipment rental and $5 per hour of use.
The cost of renting a canoe L depends on the number of hours t of rental. The cost is $5 for equipment rental and $12 per hour of use.
The cost of renting a canoe L depends on the number of hours t of rental. The cost is $5 per rental hour.
The cost of renting a canoe L depends on the number of hours t of rental. The cost is $17 per rental hour.
Answer:
Option 1
Step-by-step explanation:
Hello!
We can see that the base price for a canoe is $12, as you have to spend the $12 to get the canoe.
You also have to spend $5 per hour in the canoe, which is why "t" is being multiplied by 5.
We can also look at this graphically.
The x-axis is the number of hours, while the y-axis is the price. When x is 0 (no hours on canoe), you can see that the price is $12. But as it increases by 1 hour, the price increases by $5.
5284 Ib = ________ tn ________ Ib. show your work
Answer:
2 tons and 1824 pounds
Step-by-step explanation:
Ton= 2,000 pounds
We know that 2,000 will go into 5824 twice, resulting in 4,000. Subtract 4,000 from 5,284, and you will have an answer of 1284. 1,284 does not go into a ton, therefore you have a remainder of 1,284 pounds.
Question 1 of 40
If f(x) = 4x² - 6 and g(x) = x² - 4x-8, find (f- g)(x).
Answer:
[tex]\huge\boxed{\sf (f-g)(x) = 3x\² + 4x - 14}[/tex]
Step-by-step explanation:
Given functions:f(x) = 4x² - 6g(x) = x² - 4x - 8Solution:Subtract both functions
(f-g)(x) = 4x² - 6 - (x² - 4x - 8)
(f-g)(x) = 4x² - 6 - x² + 4x - 8
Combine like terms
(f-g)(x) = 4x² - x² + 4x - 6 - 8
(f-g)(x) = 3x² + 4x - 14
[tex]\rule[225]{225}{2}[/tex]
Given: f(x)=4x^2-6f(x)=4x2−6g(x)=x^2-4x-8g(x)=x2−4x−8
To find : (f-g)(x)
(f-g)(x)=f(x)-g(x)(f−g)(x)=f(x)−g(x)
(4x^2-6)-(x^2-4x-8)
Using Distributive property:-
4x^2-6-x^2+4x+8
4x^2-x^2+4x+8-6
Combine like term
3x^2+4x+2
(f-g)(x)=3x^2+4x+2
Hence, The composite function is (f-g)(x)=3x^2+4x+2
The product of 8 and the sum of 4 and a number is 112. What is the number?
Which equation could be used to solve for the number?
8 + 4n = 112
O 8 x 4 + n = 112
8(4 + n) = 112
Answer:
8(4 + n) = 112Step-by-step explanation:
Let's start by reading the problem since it maybe is a bit confusing at first.
The product of 8
Now we know that it starts with 8 multiplied by another number. We do not know that number yet, so let's put 8 * () and fill in the parentheses later.
So far, our equation is:
8()
.. And the sum of 4 and a number
So, 4 + n
We can enter that into our equation
8(4+n)
The next line says "..Is 112"
So, the solution to our equation is 112
Our equation becomes:
8(4+n)=112
C
H
A
Which is the value of this expression when =-2 and x=-1?
O-64
12
2
01/22
064
3
The value of this expression when =-2 and x=-1 is: 3.
Value of the expressionGiven equation:
-2 and x=-1
Solving the value of the given equation
-2 and x=-1
Hence:
=-(-1)+2
=1+2
=3
Therefore the value of this expression when =-2 and x=-1 is: 3.
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Given: The
measure of angle B = 31 degrees, measure of angle C
= 121 degrees, and b = 9. Then a =
nearest tenth.
to the
Answer:
a=8.2
Step-by-step explanation:
x and y are numbers between 50 and 100. Both x and y have the same digit but in a different order. the two numbers add up to 187 all their digits add up to 34. find x and y.
By solving a system of equations, we see that:
x = 89 and y = 98.
How to find the two numbers?
First, we can write:
x = a*10 + b
y = b*10 + c
Where a, b, and c are single digit numbers. You can see that b is on both numbers because we know that the numbers share a digit, but on different order.
We also know that:
x + y = 187
a + b + b + c = 34
I we rewrite the first equation, we get:
(a*10 + b) + (b*10 + c) = 187
10a + 11b + c = 187
Then we have two equations:
a + 2b + c = 34
10a + 11b + c = 187
In both equations we can isolate c:
34 -2b -a = c
10a + 11b - 187 = c
Now we have:
-a - 2b + 34 = -10a - 11b + 187
Solving that, we get:
9a + 9b = 153
a + b = 153/9 = 17
Then a and b add up to 17, we can take:
a = 8
b = 9
And:
c = -a - 2b + 34 = -8 - 9 - 9 + 34 = 8
Then the numbers are:
x = 89
y = 98
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Determine the area of the figure.
The area of the trapezoid is x+11 cm.
Given a trapezoid has one side of (x+6) cm, the other side is 5 cm, and the height is 2 cm.
A two-dimensional quadrilateral consisting of the sum of non-adjacent parallel sides and a suitable non-parallel side is denoted as a trapezoid.
Now we will use the formula to find the area of a trapezoid
Area = 1/2 × (base 1 + base 2) × height
Here base 1 = (x+6) cm, base 2 = 5cm and height = 2cm
Substituting the values into the formula, we get
Area = 1/2 × (x+6+5) × 2
Area = 1/2 × (x+11) × 2
Area = x+11
Thus, the area of the given figure when one side is x+6, the other side is 5 cm and the height is 2 cm is x+11 cm.
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Help with Geometry :/
For this problem, I will be using the equal sign instead of the congruent sign for segments.
1) AC = AB, CD = DE, m∠ABC = 70°, m∠ECB = 35° (given)
2) ∠ACB is congruent to ∠ABC (base angles theorem)
3) m∠ACB = 70° (congruent angles have equal measure)
4) m∠DCE = 35° (angle subtraction postulate)
5) ∠DCE and ∠DEC are congruent (base angles theorem)
6) m∠DEC = 35° (congruent angles have equal measure)
7) ∠DEC is congruent to ∠ECB (angles with the same measure are congruent)
8) DE is parallel to BC (if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel)
Translate into an algebraic expression:
How much x% of sugar syrup can you make if you have 100 grams of sugar?
(Need Urgent Help)
The algebraic expression is: x% * 100
How to translate the expression?The statement is given as:
How much x% of sugar syrup can you make if you have 100 grams of sugar?
The amount of sugar is given as:
100 grams
So, the algebraic expression is:
x% * 100
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Find the slope of the line through the points (13,14) and (0,−1)
Answer:
1.15 or [tex]\frac{15}{13}[/tex]
Step-by-step explanation:
1. The slope can be found with this formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
2. Let's plug in the numbers: [tex]\frac{14--1}{13-0}[/tex]
4. [tex]\frac{15}{13}[/tex] ≈ 1.1538
In a hospital maternity ward there are only five babies. Baby 1 is heavier, with red hair. Baby 2 is male and thin, with the same colour hair as Baby 3, who is blonde and wears a bonnet. Baby 4 is one of the three female babies and Baby 5 wears sunglasses and is heavier. All babies wear bonnets and at least one of the females wears sunglasses.
A thin, red-haired baby wearing a bonnet is the oldest of the group. Who can it be?
Answer:
Baby 4
Step-by-step explanation:
This is because the baby we are finding is thin and red haired.
This takes out Baby 1 because he is heavier. This takes out Baby 2 because he has blonde hair. This takes out Baby 3 who is blonde. This takes out Baby 5 who is heavier.
Mwakio bought an item after being offered a discount of 30%. if this discount represented a reduction of sh 210, what was the price of the item before discount?
Answer:
The answer is Sh 700
Step-by-step explanation:
Let's set x as the original price
30% * x = 210
0.3 * x = 210
x = 210/0.3
x = 700
If 7 times a certain number is decreased by 8 and the result is equal to 20. find the number
Hello,
Answer:
number= 4
Step-by-step explanation:
7x - 8 = 20
⇔ 7x - 8 + 8 = 20 + 8
⇔ 7x = 28
⇔ 7x/7 = 28/7
⇔ x = 4
Answer:
certain number=4
Step-by-step explanation:
7x-8=20 then solve
determine the area of the figure
The area of the trapezoid is x+11 cm.
Given a trapezoid has one side of (x+6) cm, the other side is 5 cm, and the height is 2 cm.
A two-dimensional quadrilateral consisting of the sum of non-adjacent parallel sides and a suitable non-parallel side is denoted as a trapezoid.
Now we will use the formula to find the area of a trapezoid
Area = 1/2 × (base 1 + base 2) × height
Here base 1 = (x+6) cm, base 2 = 5cm and height = 2cm
Substituting the values into the formula, we get
Area = 1/2 × (x+6+5) × 2
Area = 1/2 × (x+11) × 2
Area = x+11
Thus, the area of the given figure when one side is x+6, the other side is 5 cm and the height is 2 cm is x+11 cm.
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Use the Pythagorean identity
to find sin x.
COS X =
sin x =
31
3√13
19
2√[?]
Answer:
2√61/19
Step-by-step explanation:
sin^2 x = 1 - cos^2 x
= 1 - (3√13/ 19)^2
= 1 - 117/361
= 244/361
sin x = √244/19
= 2√61/19.
2- The doctor prescribed 50 grams of sodium polystyrene sulfonate rectally. The medication is supplied as a 15 g/60 mL suspension. How many milliliters of sodium polystyrene sulfonate should the nurse Flora administer? Record your answer as a whole number.
The number of milliliters of sodium polystyrene sulfonate that the nurse Flora should administer is; 200 mL
How to carry out conversion rates?We are told that;
Medication dosage supply = 60mL for each 15 grams
Now, if the doctor prescribes 50 grams of the drug sodium polystyrene sulfonate rectally, then the volume to be administered is;
V = (50 * 60)/15
V = 200 mL
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What is the correlation coefficient for the model that predicts the list price of all homes using population as an explanatory variable
Here, we are concerned about two variables from the above data set, namely, Condo or co-ops and the Unemployment rate. We use the CORREL function of Excel to calculate the correlation coefficient rate and it is = R = -0.01873.
A Weak (negative) correlation exists between the list price of condominiums and co-ops and the unemployment rate.
The correlation coefficient is a statistical measure of the strength of the connection between the relative actions of two variables. The values varied between -1.0 and 1. zero. A calculated wide variety greater than 1. zero or less than -1.zero means that there was an error within the correlation size.
The correlation coefficient is decided with the aid of dividing the covariance by way of the product of the 2 variables' popular deviations.
Correlation values above 0. eight are deemed to signify a strong tremendous linear courting between the variables. Values among zero and 0. three imply a vulnerable relationship or none.
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If the function y = sinx is transformed to y = 3 sine (two-thirds x), how do the amplitude and period change?
Change in Amplitude is 2
Change in Period is π
Transforming sin(x) to [tex]3sin(\frac{2x}{3})[/tex]
y = a(sin(bx+c)) + d
Where, a is Amplitude and [tex]\frac{2}{b}[/tex]π is period
Amplitude of sin(x) =1
Period of sin(x) = 2π
Amplitude of 3sin([tex]\frac{2x}{3}[/tex]) = 3
Period of 3sin([tex]\frac{2x}{3}[/tex]) = [tex]\frac{2}{\frac{2}{3}}[/tex]*π = 3π
Change in Amplitude = 3sin([tex]\frac{2x}{3}[/tex]) - sin(x)
= 3 - 1
= 2
Change in Period = 3sin([tex]\frac{2x}{3}[/tex]) - sin(x)
= 3π - 2π
= π
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Answer: B
Step-by-step explanation: