Step-by-step explanation:
1. Population Area: this can be defined as a group of similar species
inhabiting/ co-existing in a defined location or space
2. Urban population: urban areas are often more developed areas with greater population than rural environments
it's the people living in cities.
3. Population density: this is a measurement of population per unit area..
Determine the points for the graph of the relation
x=2y2 + 6 using the y-values given in the table.
A. (-2, 14), (-1,8), (0, 6), (1,8), (2, 14)
B. (14,-2), (8, -1), (6,0), (8, 1), (14, 2)
C. (8,-2), (2,-1), (0, 0), (2, 1), (8, 2)
D. (2,-2), (4, -1), (6,0), (8, 1), (10, 2)
Answer:
Option B.
Step-by-step explanation:
The given relation is
[tex]x=2y^2+6[/tex]
At y=-2,
[tex]x=2(-2)^2+6[/tex]
[tex]x=2(4)+6[/tex]
[tex]x=8+6[/tex]
[tex]x=14[/tex]
Similarly,
At y=-1,
[tex]x=2(-1)^2+6=8[/tex]
At y=0,
[tex]x=2(0)^2+6=6[/tex]
At y=1,
[tex]x=2(1)^2+6=8[/tex]
At y=2,
[tex]x=2(2)^2+6=14[/tex]
So, the points for the graph of the relation are (14,-2), (8, -1), (6,0), (8, 1), (14, 2).
Therefore, the correct option is B.
factor the expression 2x^2-5x-3
Answer:
(2x+1)(x-3) is the factorized form of the given expression
Step-by-step explanation:
=2x^2-5x-3
By using sum and product rule
=2x^2-6x+1x-3
By taking common
=2x(x-3)+1(x-3)
=(2x+1)(x-3)
I hope this will help you :)
Answer:
(x-3)(x+1/2)
_____________________________________
There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup. Based on this, about how many grains of sand would there be in a 5-gallon container (note: 1 gallon = 16 cups). Write the result in scientific notation.
Answer:
[tex]3.5725 * 10^5[/tex]
Step-by-step explanation:
Given
There are about 3.5725 * 10^4 grains of sand in an 8-ounce cup.
Required
How many grains of sand would there be in a 5-gallon container?
Let x represent the number of grains in 5 gallon; So, From the question, we have that;
8 cups = 3.5725 * 10^4
5 gallon = x
Cross Multiply
x * 8 cups = 5 gallon * 3.5725 * 10^4
Recall that 1 gallon = 16 cups
[tex]x * 8\ cups = 5 * 16\ cups * 3.5725 * 10^4[/tex]
[tex]x * 8 = 5 * 16 * 3.5725 * 10^4[/tex]
Divide both sides by 8
[tex]\frac{x * 8}{8} = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]
[tex]x = \frac{5 * 16 * 3.5725 * 10^4}{8}[/tex]
[tex]x = 5 * 2 * 3.5725 * 10^4[/tex]
[tex]x = 10 * 3.5725 * 10^4[/tex]
[tex]x = 3.5725 * 10^5[/tex]
Hence, the number of grains of sand in 5 gallon is [tex]3.5725 * 10^5[/tex]
Find the area of the circle to the nearest hundredth with r=4cm. d=18in.
Answer:
1.r = 4 cm
A(circle) = π·r²
= π·(4cm)²
= 3.14·16cm²
= 50.24 cm²
2.d = 18 in
d = 2r => r = d/2 = 18in/2 = 9 in
A(circle) = π·r²
= 3.14·(9in)²
= 3.14·81in²
= 254.34 in²
Given the following function, find f(-5), f(0), and f(2).
f(x) = - 3x-5
f(-5) =
Answer:
10, -5, -11
Step-by-step explanation:
f(x) = - 3x-5
f(-5) = -3(-5) - 5 => 15 - 5 => 10
f(0) = -3(0) - 5 => 0 - 5 => -5
f(2) = -3(2) - 5 => -6 - 5 => -11
The value of the function at x = –5, 0, 2 will be 10, –5, and –11.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
The function is given below.
f(x) = –3x – 5
The value of the function at x = –5, 0, 2 will be
f(–5) = –3(–5) – 5
f(–5) = 15 – 5
f(–5) = 10
f(0) = –3(0) – 5
f(0) = 0 – 5
f(0) = –5
f(2) = –3(2) – 5
f(2) = –6 – 5
f(2) = –11
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Since the ratios all come out to be the same, that means the triangle are
A) Congruent
B) similar
Answer:
❤similar.........hope its helpful❤I think similar is the correct answer
HELP ME PLEASE!!! ASAP!!!!!! What was the average speed of this journey?
Answer:
B
Step-by-step explanation:
Take total displacement and divide by the time it took.
Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.
Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.
Let
A
AA be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and
B
BB be the event that he selects an outfit with a black shirt.
The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
Where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
The probability of the white shirt and the gray slack is;
[tex]\rm P(A) = \frac{1}{6}[/tex]
The probability of the outfit with the black shirt is;
[tex]\rm P(B) = \frac{F(S)}{T(S)} \\\\ \rm P(B) = \frac{5,6}{1,2,3,4,5,6)} \\\\ \rm P(B) ==\frac{2}{6} \\\\ P(B) = \frac{1}{3}[/tex]
The probability that the no favorable outfit with the white shirt and black is;
P(A∩B)=0
The probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt is found by the formula;
P(A or B)= p(A∪B)=P(A)+P(B)-P(A∩B)
P(A∪B)=P(A)+P(B)-P(A∩B)
[tex]\rm P(A \ U \ B)= \frac{1}{6}+\frac{2}{6} -0 \\\\\ P(A \ U \ B)=\frac{1}{2}[/tex]
Hence, the probability that Mark's little brother selects an outfit with a white shirt and gray slacks or an outfit with a black shirt will be [tex]\frac{1}{2}[/tex].
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The probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.
We have to given that,
Mark is going to an awards dinner and wants to dress appropriately.
And, Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie.
Since, There are six possible outfits, and we want to find the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt.
We can use the addition rule of probability:
P(A or B) = P(A) + P(B) - P(A and B)
where P(A) is the probability of selecting an outfit with a white shirt and grey slacks,
P(B) is the probability of selecting an outfit with a black shirt, and
P(A and B) is the probability of selecting an outfit with both a white shirt and grey slacks, and a black shirt.
From the six possible outfits, there is one outfit with a white shirt and grey slacks, and one outfit with a black shirt, so:
P(A) = 1/6
P(B) = 1/6
There is no outfit that satisfies both events A and B, so:
P(A and B) = 0
Therefore:
P(A or B) = P(A) + P(B) - P(A and B)
= 1/6 + 1/6 - 0
= 1/3
So, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt is 1/3.
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Complete question is,
Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him.
Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below.
Let A be the event that Mark's little brother selects an outfit with a white shirt and grey slacks and B be the event that he selects an outfit with a black shirt.
What is P (A or B) , P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with a white shirt and grey slacks or an outfit with a black shirt?
Suppose that a line segment is translated. Which of the following is true?
The line segment's position and length change.
The line segment's position changes, but its length remains the same.
The line segment's slope changes, but its length remains the same.
The line segment's length and position remain the same.
Answer:
The line segment's position changes, but its length remains the same.
Step-by-step explanation:
When a line segment is translated, it only will move its position up, down, or to the side.
The slope and length will stay the same, but the position will change.
So, this answer is correct because the position changes but not the length.
16 2/3 percent of what number is 72
5
Which graph shows the solution set for zx-352?
-8 -7 -6 -5 4 -3 -2 -1 0 1 2
-8 -7 -6 -5 4 -3 -2 -1 0 1 2
+
-8-7 -6 -5 4 -3 -2 -1 0 1 2
-8-7 -6 -5 4 -3 -2 -1 0 1 2
Answer:
the 2nd one
Step-by-step explanation:
b/c
-5/2x-3≤2
-5/2x≤3+2
-5/2x≤5
-5x≤10
x≥10/-5
x≥-2
Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
1/2n-7
(0×3)+4
(p×5)-2
7+r
s+7
10-t
u-10
2×v
w×2
x÷5
5÷y
Step-by-step explanation:
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▹ Answer
14) 1/2n - 7
15) 3o + 4
16) 5p - 2
17) 7 + r
18) s + 7
19) t - 10
20) 10 - u
21) 2v
22) 2w
23) x ÷ 5
24) 5 ÷ y
Hope this helps!
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A line passes through the point (4, –2) and has a slope of One-half.
A coordinate plane.
What is the value of a if the point (–4, a) is also on the line?
–6
–5
5
6
Answer:
a = -6
Step-by-step explanation:
The given line in point-slope form is y + 2 = (1/2)(x - 4).
Replacing x with -4 yields y + 2 = (1/2)(-4 - 4) = (1/2)(-8)
Then y + 2 = -4, and so y = -6, or a = - 6.
Answer:
-6
Step-by-step explanation:
This is a math question. Solve for x - 5x = 15?
Answer:
x = -3.75
Step-by-step explanation:
First, combine like terms:
x - 5x = -4x
-4x = 15
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide -4 from both sides:
(-4x)/-4 = (15)/-4
x = 15/-4
x = -3.75
-3.75 is your answer for x.
~
Answer:
x = -15/4
Step-by-step explanation:
x - 5x = 15
Combine like terms
-4x = 15
Divide each side by -4
-4x/-4 = 15/-4
x = -15/4
Can you please say if the point is on the line?
X+ y = 9
X- y = 7
O A. (16, -7)
O B. (8, 1)
O C. (12,-3)
D. (7,0)
Answer:
B. (8,1)
Step-by-step explanation:
x+y=9
x-y=7
x=7+y
Therefore in the equation x+y=9 , x=7+y
(7+y)+y=9
7+2y=9
2y=9-7
2y=2
y=2/2=1
therefore x=7+y
=7+1=8
The solution of the system of equation are,
⇒ (8, 1)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
System of equations are,
x + y = 9 .. (i)
x - y = 7 .. (ii)
Now, We can simplify as;
From (i);
x = 9 - y
Put in (ii);
x - y = 7
9 - y - y = 7
9 - 2y = 7
9 - 7 = 2y
2y = 2
y = 1
From (i);
x = 9 - y
x = 9 - 1
x = 8
Thus, The solution of the system of equation are,
⇒ (8, 1)
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PLEASE HELP, Thank YOU
Answer:
5652ft²Step-by-step explanation:
Surface area of a hemisphere is 2πr²
Where r is the radius
radius = diameter / 2
From the picture diameter = 60ft
Therefore
radius = 60/2 = 30ft
Surface area of the hemisphere is
2π(30)²
= 2(900)× 3.14
= 1800 × 3.14
= 5652ft²
Hope this helps you
Answer:
Your answer would be 5652ft squared
Step-by-step explanation:
the volume of a sphere is 4000 pi m^3. what is the surface area of the sphere to the nearest square meter? A. 2,614m^2 B. 3,836m^2 C. 1,307m^2 D. 794m^2
Answer:
A. 2614 m^2 to the nearest square meter.
Step-by-step explanation:
Volume of the sphere
= 4/3 pi r^3 = 4000 pi
4/3 r^3 = 4000
r^3 = 4000 * 3/4 = 3000
r = ∛(3000)
The surface area
=4 pi r^2
= 4 * pi * (∛(3000)^2
= 4 * pi * 208.008
= 2613.91 m^2.
Consider the system of equations given in slope-intercept form. y = −13x + 17, y = 5x - 23 The solution seems to be about (8, 14). Use the graphing calculator to find the exact values for the intersection point. What is the solution to this system of equations?
The exact values for the intersection point is (20/9, -107/9)
Given the system of equation expressed as;
y = −13x + 17;
y = 5x - 23
Since they are both y-values, we will equate both expressions to have:
-13x + 17 = 5x - 23
-13x - 5x = -23 - 17
-18x = -40
x = 40/18
x = 20/9
Substitute x = 20/9 into equation 2:
y = 5x - 23
y = 5(20/9) - 23
y = 100/9 - 23
y = -107/9
Hence the exact values for the intersection point is (20/9, -107/9)
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Answer:
The answer is 7.5 and 14.5
( 7.5 , 14.5 )
Step-by-step explanation:
The student body of 205 wants to elect a president, vice president, and a secretary. Is an example of permutation or combination.
Answer:
Combination
Step-by-step explanation:
Permutation is likely used more for lists/ordered things.
Combination is used more for groups.
Since we are trying to elect a group of people (president, vice president, and secretary) out of 205 students, we use combination.
7) Which author's point of view is MOST SUPPORTED in the passage?
A)
The author respects and admires qualities in the
queen.
Eliminate
B)
The author is deeply saddened by the death of the
queen.
Te
The author is heavily critical of the queen's ignorant
politics
D)
The author feels the trip to Ireland contributed to 'her
worsening condition
Answer:
I think A is the MOST supported of all of the options. The author spends the majority of the writing remarking and complimenting the Queen's strength and desire to be concerned with the people of her land.
A) The author respects and admires qualities in the queen.
Step-by-step explanation:
HOPE THIS HELPED!! :)
Miranda has 5 shirts and 4 pairs of pants that she uses for her work clothes. How many different outfits can be assembled using 5 shirts and 4 pair of pants?
Answer:
20
Step-by-step explanation:
lets label each shirt as A, B, C, D, E and each pair of pants as a, b, c, d
combinations include:
Aa, Ab, Ac, Ad, Ba, Bb, Bc, Bd, Ca, Cb, Cc, Cd, Da, Db, Dc, Dd, Ea, Eb, Ec, Ed
however, it isn't necessary to write out all the combinations as you could just do 5*4=20.
Aram's four children are now 1, 5, 7, and 9 years old. In how many years will the sum of the ages of two of his children be twice the sum of the ages of the other two children?
Answer:
In 2 years
Step-by-step explanation:
age right now 1,5,7,9
Let the number of years in which the sum of the ages of two of his children be twice the sum of the ages of the other two children=x
Therefore Age of the children after x years will be 1+x,5+x,7+x and 9+x
2[1+x + 5+x] = (7+x)+(9+x)
2[6+2x]= 7+9+x+x
12+4x=16+2x
4x-2x=16-12
2x=4
x=4/2=2
Let's verify if the answer is correct
-- Verify by substituting the value of x in this 2[1+x + 5+x] = (7+x)+(9+x)
2[1+2 + 5+2] = (7+2)+(9+2)
2[10]=9+11
20=20
Therefore 2 years is the answer
We are required to find the number of years when the ages of two of his children be twice the sum of the ages of the other two children?
The number of years it will take for two of his children be twice the sum of the ages of the other two children is 2 years
Child 1 = 1 year
Child 2 = 5 years
Child 3 = 7 years
Child 4 = 9 years
let
x = number of years it will take for two of his children be twice the sum of the ages of the other two children
twice the age of the two younger children in the unknown year equal the age of the two older children in the unknown year
2{(1 + x) + (5 + x)} = (7 + x) + (9 + x)
2(1 + x + 5 + x) = 7 + x + 9 + x
2(6 + 2x) = 16 + 2x
12 + 4x = 16 + 2x
12 - 16 = 2x - 4x
-4 = - 2x
divide both sides by -2
-4 / -2 = x
x = 2
Therefore,
The number of years it will take for two of his children be twice the sum of the ages of the other two children is 2 years
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another algebra problem i cant solve
Answer:
where is the problem?
Step-by-step explanation:
plz help
urgent !!!!
will give the brainliest !!
Answer:
[tex]X = \begin{bmatrix}1&3\\ 2&4\end{bmatrix}[/tex]
Step-by-step explanation:
The question we have at hand is, in other words,
[tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}\left(X\right)=\begin{bmatrix}8&20\\ \:3&7\end{bmatrix}[/tex] - where we have to solve for the value of [tex]X[/tex]
If we have to isolate [tex]X[/tex] here, then we would have to take the inverse of the following matrix ...
[tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}[/tex] ... so that it should be as follows ... [tex]\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}^{-1}[/tex]
Therefore, we can conclude that the equation as to solve for " [tex]X[/tex] " will be the following,
[tex]X=\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}[/tex] - First find the 2 x 2 matrix inverse of the first portion,
[tex]\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}[/tex] = [tex]\frac{1}{\det \begin{pmatrix}4&2\\ 1&1\end{pmatrix}}\begin{pmatrix}1&-2\\ -1&4\end{pmatrix}[/tex]= [tex]\frac{1}{2}\begin{bmatrix}1&-2\\ -1&4\end{bmatrix}[/tex] = [tex]\begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}[/tex]
At this point we have to multiply the rows of the first matrix by the rows of the second matrix,
[tex]X = \begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}[/tex] ,
[tex]X = \begin{pmatrix}\frac{1}{2}\cdot \:8+\left(-1\right)\cdot \:3&\frac{1}{2}\cdot \:20+\left(-1\right)\cdot \:7\\ \left(-\frac{1}{2}\right)\cdot \:8+2\cdot \:3&\left(-\frac{1}{2}\right)\cdot \:20+2\cdot \:7\end{pmatrix}[/tex] - Simplifying this, we should get ...
[tex]\begin{bmatrix}1&3\\ 2&4\end{bmatrix}[/tex] ... which is our solution.
In which quadrants do solutions for the inequality y is less than or equal to two sevenths times x plus 1 exist?
Answer:
y will be in every single quadrant
Step-by-step explanation:
So we have the equation [tex]y\leq \frac{2}{7} x+1[/tex] first we will have to look at the equation. It says that y is less than or equal to [tex]\frac{2}{7} x+1[/tex] since y is less than [tex]\frac{2}{7} x+1[/tex] the only place the shaded area where y can be is under the line that is drawn be the equation. When the equation is graphed the y-intercept will be on positive 1 it since slope is rise over run it will look something like the file attached to this. so under the line you can see every single quadrant so that is why it would be that way
a+2=6 explain pkleaseeeeeeeeeeeeeeee
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▹ Answer
a = 4
▹ Step-by-Step Explanation
a + 2 = 6
Subtract 2 from both sides
2 - 2 = crossed out
6 - 2 = 4
Final Answer
a = 4
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Answer:
a=4
Step-by-step explanation:
If you are trying to find the value of a, it is simply 6-2. You can also check your answer by seeing if 4, the answer you found can be substituted into the equation while keeping the equation true. 4+2 does equal 6 so you know your right. Hope this helps!! :)
Please help its eighth math!
Answer:
t and u are parallel lines
s and t are also parallel lines
Step-by-step explanation:
If two parallel lines are cut by a transversal ,
then in it
pair of alternate angle are equals, similarly vice versa
if pair of alternate angle are equals then lines are parallel
pair of corresponding angles are equal and vice-versa
for example
in the given problem
if line t and u are parallel (note we have assumed this to give example of parallel lines)
then angle 7 and 9 are called alternate angles
pair of angles 5 and 9 are corresponding angles.
________________________________________________
given
∠8 = ∠10 which are alternate angles for line t and u and s is transversal for it,
thus t and u are parallel lines
___________________________
∠1 = ∠3 as they vertically opposite angles
and we know that pair of vertically opposite angles are equal
given
∠1 = ∠7
thus
∠3 = ∠7
as pair of angles ∠3 and ∠7 are corresponding angles. and are equal and hence line s and t are also parallel.
Meg found one treasure at − 3 4 foot. Which of these location are higher than − 3 4 foot? Check all that apply. Negative StartFraction 7 Over 8 EndFraction foot Negative one-fourth foot –1 foot –2 feet Negative StartFraction 5 Over 8 EndFraction foot. If You Help ME and GET it CORRECT u will give u brainiest
Answer:
[tex]\frac{-1}{4}[/tex]and [tex]\frac{-5}{8}[/tex] are the locations higher than [tex]\frac{-3}{4}[/tex] foot
Step-by-step explanation:
We are given that Meg found one treasure at [tex]\frac{-3}{4}[/tex]foot
We are supposed to find Which of these location are higher than [tex]\frac{-3}{4}[/tex]foot?
i) [tex]-\frac{7}{8}[/tex]
So, this location is not higher than [tex]\frac{-3}{4}[/tex]foot
ii)[tex]-\frac{1}{4}[/tex]
So, [tex]-\frac{1}{4}>\frac{-3}{4}[/tex]
So, this location is higher than[tex]\frac{-3}{4}[/tex] foot
iii) - 1 foot
[tex]-1 < \frac{-3}{4}[/tex]
So,this location is not higher than[tex]\frac{-3}{4}[/tex]foot
iv)-2 feet
So,this location is not higher than[tex]\frac{-3}{4}[/tex]foot
v)[tex]\frac{-5}{8}[/tex]
So, this location is higher than [tex]\frac{-3}{4}[/tex]foot
Answer: B, E
Step-by-step explanation:
The guy above is right but just to make it more easy
To plot the point (5, -3) you would move up 5, then left 3.
True
False
Hey there! :)
Answer:
False.
Step-by-step explanation:
In a point, the coordinates are in the format:
(x, y).
In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:
Move right 5, down 3.
Answer:
False
Step-by-step explanation:
To plot the point (5, -3) you would move right 5, then down 3.