Answer:
Population
Step-by-step explanation:
If we know the root Demos means people and graphic means picture, let's put the english terms together.
Demo graphic
People graphic
So this is going to be a "People Graphic." So we know that Countries and Continents are ruled out.
Now I just used logic to figure out whether it's population or leaders. A map showing the leaders of something would be useless, but a map showing population is useful. So I assumed that a Demographic map shows population (I also looked it up to check, and yes this is right.)
Hope this helped!
Answer:
population
Step-by-step explanation:
people graphic
related to ppl so population
Find the area of the region enclosed by the graph of $x^2 + y^2 = 2x - 6y + 6$.
Complete the squares to get
[tex]x^2+y^2=2x-6y+6[/tex]
[tex]\implies(x^2-2x+1)+(y^2+6y+9)=16[/tex]
[tex]\implies(x-1)^2+(y+3)^2=4^2[/tex]
which is the equation of a circle centered at (1, -3) with radius 4, and thus with area 16π.
The area of the region enclosed in the graph x²+y² =2x-6y+6 is 50.26 square units.
What is the area of the circle?The area of the circle can be calculated by the product of π times square of the radius or the product of π/4 times square of diameter.
Area of the circle= A= πr²= πd²/4
where r is radius of the circle and d is diameter of the circle.
Here given that
the equation of circle is given by
x²+y² =2x-6y+6
⇒ x²+y² -2x-6y = 6
⇒ x²-2x+y²-6y = 6
Adding 1 on both sides
⇒ x²-2x+1+y²-6y = 6+1
Adding 9 on both sides
⇒ x²-2x+1+ y²-6y+9 = 6+1+9
⇒x²-2x+1+ y²-6y+9 = 16
⇒ (x-1)² + (y-3)²= 4²
which is similar to equation of the circle
(x-a)² + (y-b)²= r²
This is the equation of the circle in center and radius form where (a,b) is the center of the circle and r is the radius of the circle.
here in the equation of the circle the center of the circle is (1,3)
radius is 4 units.
then the area of the circle is = πr²= π4²= 16π= 50.26 square units.
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find a quadratic polynomial each with the given number as the sum and product of its zeroes respectively
[tex] \sqrt{2} \: \: \: and \ \frac{1 }3[/tex]
Answer:
[tex] \alpha + \beta = \sqrt{2} [/tex]
[tex] \alpha \beta = \frac{1}{3} [/tex]
The quadratic equation is given by
[tex]y = {x}^{2} - ( \alpha + \beta )x + \alpha \beta [/tex]
[tex]y = {x}^{2} -x \sqrt{2} + \frac{1}{3} [/tex]
IF YOU SOLVE I WILL BE YOUR BEST FRIEND I SWEAR. ALSO WILL AWARD THE BRAINLIEST THING. PLEASE. I NEED THESE GRADES SO I WONT BE A DISSAPOINTMENT TO MY MY MOM!
Answer:
see below
Step-by-step explanation:
x⁵ - 8x⁴ + 22x³ - 26x² + 21x - 18 = 0
x = 2, x = ± i, x=3 with multiplicity 2
-----------------------------------------------------
x⁴ - 5x³ + 7x² - 5x + 6 = 0
x = 2, x=3, x = ± i
--------------------------------------------------------
-1 + 4i = 4 + i
i
--------------------------------------------------------
x³ - 26x² + 21x - 18 = 0
x = ± 2i, x = 3/2
--------------------------------------------------------
(1 + i) (-3 - 4i)
= 1 - 7i
--------------------------------------------------------
6.
(-5 + 2i) + (3 - 6i)
= -2 -4i
--------------------------------------------------------
7.
x⁴ + 5x² + 4 = 0
x = ± i , x = ± 2i
--------------------------------------------------------
8.
(7 - i) - (-5 + 6i)
= 12 - 7i
--------------------------------------------------------
9.
(4 - i) (4 + i)
= 17
--------------------------------------------------------
10.
(3 + 8i) (4 - 3i)
= 36 + 23i
How to find x intercept with y=4x+15
Answer:
The x intercept is (-15/4 ,0)
Step-by-step explanation:
To find the x intercept, set y = 0 and solve for x
y = 4x+15
0 = 4x+15
subtract 15 from each side
-15 = 4x+15-15
-15 = 4x
Divide by 4
-15/4 = 4x/4
-15/4 = x
The x intercept is (-15/4 ,0)
Help ASAP!!! Savings Account.Christine Chu borrowed $4500 from a bank at a simple interest rate of 2.5% for one year.
a) Determine how much interest Christine paid at the end of 1 year.
b) Determine the total amount Christine will repay the bank at the end of 1 year
Answer: $112.50 ; $4612.5
Step-by-step explanation:
a) Determine how much interest Christine paid at the end of 1 year.
This will be:
Simple interest = PRT/100
where
P = principal = $4500
R = rate = 2.5%
T = time = 1 year
Interest = (4500 × 2.5 × 1)/100
= 11250/100
= $112.50
b) Determine the total amount Christine will repay the bank at the end of 1 year.
Total amount = Principal + Interest
= $4500 + $112.50
= $4612.5
The point A (2,-3) is reflected onto A' (-3,2). What was the line of reflection?
Calculate the distance between the points N=(-2, 4) and H=(6, -1) in the coordinate plane. Give an exact answer (not a decimal approximation).
Answer:
√89
Step-by-step explanation:
The distance formula is good for this.
d = √((x2 -x1)^2 +(y2 -y1)^2)
d = ((6 -(-2))^2 +(-1-4)^2) = √(64 +25)
d = √89
The distance between the point is √89 units.
Is x(x-6)=20 a quadratic equation
We can distribute the outer x to each term inside
x(x-6) = x^2-6x
So the original equation turns into
x^2-6x = 20
Then you could subtract 20 from both sides to get everything to the same side
x^2-6x-20 = 20-20
x^2-6x-20 = 0
This quadratic equation is in the form ax^2+bx+c = 0 with a = 1, b = -6, c = -20.
The presence of the x^2 term, and having it be the largest exponent, is what makes this a quadratic.
The entire graph of the function g is shown in the figure below. Write the domain and range of g as intervals or unions of intervals.
Answers:
Domain = [tex][-5, -2] \cup [1,5)[/tex]
Range = [tex](-4,4][/tex]
=============================================
Explanation:
The domain is the set of allowed x value inputs. We note that the left-most point is when x = -5, and this point has a closed or filled in endpoint, so we're including this x value in the domain.
The left piece has its other endpoint at x = -2, so the interval [tex]-5 \le x \le -2[/tex] is part of the domain. We write that as [tex][-5,-2][/tex]is part of the domain's answer. The other part is [tex][1, 5)[/tex]. We include x = 1 but exclude x = 5 as there's a hole here.
Use the union symbol to glue the two intervals together and we end up with [tex][-5, -2] \cup [1,5)[/tex] as the full domain.
----------------------------
The range is the set of possible y values. The lowest point is when y = -4, but we exclude this endpoint since there's an open hole here. The highest point is when y = 4. The range is [tex]-4 < y \le 4[/tex] which we write as [tex](-4, 4][/tex]
Since there are no gaps in the range, we don't use any union symbols here. Any y value between -4 and 4 is possible, other than y = -4 itself.
A 6 foot tall man makes a shadow that is $ 3\frac{1}{2} $ feet long. How tall is a building that makes a $ 14\frac{7}{8} $ foot shadow?
the building is twenty feet
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue. Work out the total fine paid by Amelia, give your answer in £.
Answer:
1.53 £
Step-by-step explanation:
9×17 = 153p
we know this because there are 5 days left in November and 12 days in December (hence the 17).
Answer:
The correct answer would be No fine is paid if the DVD is returned by the due date, because the first 0 means it is 0 days overdue, so it is returned on time, and the second 0 means the fine would be $0
Step-by-step explanation:
f(x)=1-3x and g(x)=x+4 calculate f(-1/3)
For f function, we don't need to us the value of g function. So, 1-3x = 1-3.-1/3 =2
Answer : 2
f(-⅓) = 2
Step-by-step-explanation :
[tex]f(x) = 1 - 3x \\ f( \frac{ - 1}{3} ) = 1 - 3( \frac{ - 1}{3} ) \\ f( \frac{ - 1}{3} ) = 1 + \frac{3}{3} = 1 + 1 = 2[/tex]
While making desserts for Fun Day, Methuki used 5/6 of a scoop of brown sugar as well as 1/2 of a scoop of white sugar. How much more brown sugar did she use?
Hey there! I'm happy to help!
We want to find how much more 5/6 is than 1/2. To do this, we simply subtract 1/2 from 5/6. This will show us how much more 5/6 is.
First, we multiply 1/2 by 3/3 so that the denominator is 6.
1/2×3/3=3/6
Now, we subtract this from 5/6.
5/6-3/6=2/6
We can simplify this to 1/3.
Therefore, Methuki used 1/3 scoop more of brown sugar than white sugar while making desserts for Fun Day.
Have a wonderful day! :D
Solve for xxx. Your answer must be simplified. \dfrac x{-6}\geq-20 −6 x ≥−20
Answer:
x ≤ - 27
Step-by-step explanation:
[tex]\frac{x}{-9}\ge \:3\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\frac{x\left(-1\right)}{-9}\le \:3\left(-1\right)\\\\Simplify\\\\\frac{x}{9}\le \:-3\\\\\mathrm{Multiply\:both\:sides\:by\:}9\\\\\frac{9x}{9}\le \:9\left(-3\right)\\\\\mathrm{Simplify}\\\\x\le \:-27[/tex]
The solution of the given inequality is x ≤ -27.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The given inequality ( x / -9) ≥ 3 is solved as:-
( x / -9 ) ≥ 3
Multiply both sides by ( -1 ).
-1 ( x / -9 ) ≥ -3
x / 9 ≤ -3
x ≤ -27
Hence, the solution is x ≤ -27.
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A recipe for chili uses 213 cups of beans. Keith is making 112 times the recipe. Which equation helps Keith find how many cups of beans he needs?
Answer:
213 x 112
Step-by-step explanation:
You have to multiply the recipe with the amount of times it's made.
Answer:
213 cups of beans.Keith is making 112 times the recipe.
Step-by-step explanation:
Evaluate the expression for the given value of the variable(s). 5a + 5b; a = −6, b = −5
Answer:
- 55
Step-by-step explanation:
a = −6, b = −5
5a + 5b = 5 * (a + b) = 5 * (- 6 - 5) =5 * (- 11) = - 55You are playing monopoly with your friends. You just landed on a site
where your friend owns four houses. The rent for each house is 20 coins.
You have 50 coins. How many coins will you have after paying the total
rent?
Answer:
You wont have any coins left. You will have a negative number of coins because 20 x 4 = 80. 80 - 50 = 30. You will need to owe 30 coins
Find −3a2 − b3 + 3c2 − 2b3 if a = 2, b = −1, and c = 3.
Answer:
18
Step-by-step explanation:
-3a² - b³ + 3c² - 2b³
= -3(2)² - (-1)³ + 3(3)² - 2(-1)³
= -3(4) - (-1) + 3(9) - 2(-1)
= (-12 + 1 )+ (27 + 2)
= -11 + 29
= 18
Answer:
18
Step-by-step explanation:
a = 2, b = -1, c = 3
-3a^2 - b^3 + 3c^2 - 2b^3
-3(2^2) - (-1^3) + 3(3^2) - 2(-1^3)
-3(4) - (-1) + 3(9) - 2(-1)
-12 + 1 + 27 + 2
-12 + 30
18 <===
If g(x) = -3x^2 +4x+5 find g(3)
Answer:
-10
Step-by-step explanation:
g(x) = -3x^2 +4x+5
Let x = 3
g(3) = -3*(3)^2 +4*3+5
= -3*9 +12+5
= -27+12+5
= -10
Answer:
g(3) = -10
Step-by-step explanation:
g(x) = -3x^2 + 4x + 5
g(3) = -3(3^2) + 4(3) + 5
g(3) = -3(9) + 12 + 5
g(3) = -27 + 12 + 5
g(3) = -15 + 5
g(3) = -10
Solve for x
Picture is above
Answer:
x = 10
Step-by-step explanation:
a² + b² = c²
6² + 8² = c²
36 + 64 = 100
√100 = ±10
x = 10
Answer:
10
Step-by-step explanation:
We can use the Pythagorean Theorem to find the value of x.
It states that in a right triangle, [tex]a^2 + b^2 = c^2[/tex].
A and b are the sides, while c is the hypotenuse.
We already know the measure of a and b, so we can find the measure of c easily.
[tex]6^2 + 8^2 = c^2\\\\36+64=c^2\\\\100=c^2\\\\10=c[/tex]
Hope this helped!
Suppose x = 7 is a solution to the equation 4x − 2(x + a) = 8. Find the value of a that makes the equation true.
Answer:
a=6 x=1
Step-by-step explanation:
4x1=4 4-2=2
2+6=8
Answer:
a=3 i think, sorry if i'm wrong
Step-by-step explanation:
4x-2(x+a)=8 ~parenthesis first.
4*7-14-2a=8 ~4 times 7= 28 and just bring down the rest.
28-14-2a=8 ~ add 14 to negative 14 and 8, the positive and negative 14 would cancel out each other.
28-2a=22 ~ subtract 28 from both positive 28 and 22.
-2a=-6 ~ divide by 2 on both sides.
a=3 ~ The reason why it is 3 is because negative 2 times positive 3 equals negative 6.
*PLEASE HELP, DIFFICULT QUESTION* What is the total volume of snow used to make the snowman if the head is 12 inches wide, the middle is 16 inches wide, and the bottom is 18 inches wide? (Use 3.14 for pie)
Answer:
6103.07 inches ^ 3
Step-by-step explanation:
Step 1: Find the volume of the head
d = 12
r = d/2
r = 6
[tex]=\frac{4}{3} (3.14)6^{3} \\=904.78 inches^{3}[/tex]
Step 2: Find the volume of the body
d = 16
r = d/2
r = 8
[tex]=\frac{4}{3} (3.14)8^{3} \\=2144.66inches^{3}[/tex]
Step 3: Find the volume of the legs
d = 18
r = d/2
r = 9
[tex]=\frac{4}{3} (3.14)9^{3} \\=3053.63 inches^{3}[/tex]
Step 4: Add the volumes together
[tex]904.78 +2144.66+3053.63=Volume[/tex]
[tex]6103.07=Volume[/tex]
Therefore the volume of the snowman is 6103.07 inches ^ 3
The ratio of the areas of two similar
parallelograms is 4:9. Find the height of the
bigger one if the smaller is of height 4cm.
Answer: 6 cm
Step-by-step explanation:
Given: The ratio of the areas of two similar parallelograms is 4:9.
To find : The height of the bigger one if the smaller is of height 4 cm.
Let h be the height of the bigger one.
Since the areas of similar figures are proportional to the square of their corresponding sides.
Then, [tex]\dfrac{4^2}{h^2}=\dfrac{4}{9}[/tex]
[tex]\dfrac{16}{h^2}=\dfrac{4}{9}\\\\\Rightarrow\ h^2=\dfrac{9}{4}\times16\\\\\Rightarrow\ h^2=36\\\\\Rightarow\ h= 6\ cm\ \ \ \ \text{[ height cannot be negative.]}[/tex]
Hence, the height of bigger parallelogram = 6 cm
Can someone help me or explain it bc this is rlly hard and this type of Math confuses me...
===========================================================
Explanation:
Parallel lines never cross, so we can rule out choices B, C, and D. These choices all have segments that cross or meet somehow. Segments AB and OC don't intersect, and their extended lines do not appear to intersect either.
---------
We don't really need to use a diagram for this problem even though a diagram is handy. The reason we don't need a diagram is simply look at the letters to see if there's any repeated letters.
For instance, with choice B, the letter O shows up twice. So that must mean the two segments intersect at point O. But we can't have parallel lines intersect, which allows us to rule out choice B. The other answer choices we rule out will follow the same idea.
Only AB and OC have letters that don't show up twice.
Answer:
A) AB and OC
Step-by-step explanation:
Ok, so basically, when two lines are parallel, t means they will never touch each other no matter how long they are
for example, these two l‘s are parallel
l l
in this problem, we just have to find the lines that are parallel
finsing the lines are quite easy, just look for the first letter, in this case, A, then find the other lettter, here it is B, and there is your line!
here all the lines are marked in red, whch makes finsing each line easier
proving our answer is correct...
BO and CO makes an upside down V shape ( like a roof )
CO and CD make a v Shape
and
CD and DO make an upside down L
i hope this helped!
WILL GIVE BRAINLIEST AND 35 POINTS Solve this system of equations. [tex]\left \{ {{3x+y=-21} \atop {y=4x}} \right.[/tex]
Answer:
[tex](-3,-12)[/tex]
[tex]x=-3, y=-12[/tex]
Step-by-step explanation:
So we have the system:
[tex]3x+y=-21\\y=4x[/tex]
To solve this, we can do some substitution. Substitute the y in the first equation for the 4x in the second:
[tex]3x+y=-21\\3x+(4x)=-21[/tex]
Combine like terms:
[tex]7x=-21[/tex]
Divide both sides by 7. The left side cancels:
[tex](7x)/7=(-21)/7\\x=-3[/tex]
So we determined that x is -3. Now, plug this number back into the second equation:
[tex]y=4x\\y=4(-3)=-12[/tex]
So the solution is:
[tex](-3,-12)[/tex]
Answer:
[tex]\Large \boxed{x=-3 \ } \\ \\ \Large \boxed{y=-12}[/tex]
Step-by-step explanation:
3x + y = -21
y = 4x
Substitue y = 4x in the first equation.
3x + 4x = -21
Combine like terms.
7x = -21
Divide both sides by 7.
x = -3
Let x = -3 for the second equation.
y = 4(-3)
Multiply.
y = -12
The solution for the system of equations is x = -3 and y = -12.
Petra deposits 278.16 in a savings account that earns 2.1% simple interest. What is Petra’s account balance after nine years
Answer:
The answer is $330.73.
Step-by-step explanation:
The answer is $330.73.
Step 1. Calculate simple interest: I = ?
Step 2. To get account balance add simple interest to the principal amount:
I + P = ?
Step 1. Calculate simple interest.
I = P * r * t
P - principal
r - rate
t - time period
We have:
P = $278.16
r = 2.1% = 2.1/100 = 0.021
t = 9
I = 278.16 * 0.021 * 9 = 52.57
Step 2. To get account balance add simple interest to the principal amount:
I + P = ?
52.57 + 278.16 = 330.73
write the decimal form of 1/5 + 1/4
Answer:
[tex]\Huge \boxed{\mathrm{0.45}}[/tex]
Step-by-step explanation:
1/5 in decimal form is 0.2
1/4 in decimal form is 0.25
1/5 + 1/4
0.2 + 0.25 = 0.45
Answer:
1/5 + 1/4 = 9/20.
9/20 = 0.45
can someone please understand how to add and subtract negative numbers? such as 2 - (-3)= or -7 + 4=
Answer:
2-(-3)=2+3=5
-7+4=-3
Step-by-step explanation:
Answer:
2 - (-3) is 5 because (-) × (-) is (+)
And for -7 + 4 is 3 because (-) × (+) is (-).
Which of the following choices will simplify 1 - 5(3+2 x 3)?
A. -44
B. -60
C. -36
D. None of these choices are correct.
Answer:
(A.) -44Step-by-step explanation:
[tex]1-5\left(3+2\cdot \:3\right)=-44\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(3+2\cdot \:3\right)\::\quad 9\\\\=1-5\cdot \:9\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:5\cdot \:9\::\quad 45\\\\=1-45\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:1-45\:\\\\:\quad -44[/tex]
Answer:
-36
Step-by-step explanation:
1-5(3+2x3)
-4(3+2x3)
-4(3+6)
-12-24
-36
Hope this helps ;) ❤❤❤
An arithmetic progression has the 3rd term of 13 and the last term of 148. If the common difference is 5, find the number of terms of the progression.
Answer:
30 terms
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here d = 5 and a₃ = 13, thus
a₁ + 2d = 13
a₁ + 2(5) = 13
a₁ + 10 = 13 ( subtract 10 from both sides )
a₁ = 3
Thus
[tex]a_{n}[/tex] = 3 + 5(n - 1) = 148 ( subtract 3 from both sides )
5(n - 1) = 145 ( divide both sides by 5 )
n - 1 = 29 ( add 1 to both sides )
n = 30
The progression has 30 terms