17. The District of Columbia has a very high population density.
There are 646,449 people in 68.3 square miles.
a. Calculate the unit rate in terms of people per square mile for the District of Columbia.
Make sure the precision of your answer is reasonable.
Answer:
9465 people/square mile.
Step-by-step explanation:
If there are 646,449 people in 68.3 square miles for the district of columbia, the unit rate in terms of people per square mile for the District of Columbia will be expressed as shown;
646,449 people = 68.3 square miles
x people = 1 square mile
Cross multiply
646,449 people * 1 square mile = 68.3 square miles * x people
x = 646,449 people * 1 square mile/68.3 square miles
x = 646,449/68.3 square miles
x = 9464.8463 square miles
x ≈ 9465 people/square mile.
Hence the unit rate in terms of people per square mile for the District of Columbia is approximately 9465 people.
State the amplitude and period of f(t) = -0.3sin t/3
Answer:
Amplitude is 0.3; period is 6π
Step-by-step explanation:
The amplitude is |-0.3| = 0.3.
The period and frequency are related through
2π
period = ----------
b
where b is the coefficient of the independent variable; here that coefficient is 1/3.
Thus, the period here is found using b = 1/3:
period = 2π/b, or 2π/(1/3), or 6π
The length of a rectangle is twice it’s with the perimeter of a rectangle is 126 feet.
Answer:
Length = 42 feet
Width = 21 feet
Step-by-step explanation:
Let the length and width be represented by L and W
L = 2W
Perimeter (P) = 126 feet
2(L + W) = 126
L + W = 126/2 = 63
2W + W = 63
3W = 63
W = 63/3 = 21 feet
L = 2W = 2 × 21 feet = 42 feet
Is -3 a natural number a whole number a integer a rational number or irrational number
Answer:
-3 is a rational integer.
Step-by-step explanation:
An integer is a superset of the whole numbers that includes the negated values as well as 0.
A rational number is simply anything that can be expressed as a fraction.
-3 is by these definitions, a negated 3, and any non fractional number can be expressed as a fraction.
-3 is not a natural number, as that is the set of numbers {1, 2, 3, 4, 5, ... etc} and -3 is not a whole number, as that is the set of numbers {0, 1, 2, 3, 4, ... etc}.
And -3 is also not an irrational number since it can be expressed as a fraction.
Thus, -3 is a rational integer.
Cheers.
a statement that can be proven is called
Answer:
Theorem is a statement that can be proven .
Hope it helps.
1
Parallel lines s and t are intersected by transversal lines fand g, as shown in the figure below. What is the measure of angle 1?
g
st
OA. 46°
ОВ.
136°
OC.
44°
OD. 134
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I need the answer ASAP
The following chart shows temperatures of cities on a winter morning. City Temperature Buffalo −8 Grand Rapids −3 Denver 10 Chicago −1 Which city had the coldest temperature?
Answer:
Buffalo
Step-by-step explanation:
The number that is father away form 0 is the coldest
Answer:
Buffalo -8
Here’s my explanation
the number line is a weird thing but its under standing here’s a semi graph
the fairest to the left is the coldest and the fairest to the right is the hottest i have out all the possible answers in bold witch on is the farest to the left
-8 -7 -6 -5 -4 -3 -2 -1 (0) 1 2 3 4 5 6 7 8 9 10
Find the standard equation of the circle defined by the equation x^2 + y^2 +8x - 12y + 43 = 0. ANSWERS ATTACHED, due in 2 HOURS, will give Brainliest!
Answer:
Solution: Option C
Step-by-step explanation:
Our goal here is to factor the expression such that it is converted into the circle equation (x - a)² + (y - b)² = r² where r = radius centered at point (a,b).
[tex]x^2\:+\:y^2\:+8x\:-\:12y\:+\:43\:=\:0[/tex] (Factor the expression "x² + 8x")
[tex]x^2+8x = x\left(x+8\right)[/tex] (Factor the expression "y² - 12y")
[tex]\:y^2-12y =y\left(y-12\right)[/tex]
That leaves us with the expression [tex]\left(x-\left(-4\right)\right)^2+\left(y-6\right)^2=3^2[/tex], or in other words [tex](x+4)^2 +(y-6)^2 = 9[/tex]. As you can see our solution is option c.
PLEASE HELP!!! Find the length of AB. Leave
your answer in terms of T.
А
20° AB = [?]
27
B
Enter
Answer:
3π
Step-by-step explanation:
Arc length is given in terms of central angle θ in radians as ...
s = rθ
For r = 27 and θ = (20/180)π, the arc length is ...
s = (27)(20/180)π = 3π
The arc length is 3π units.
PLS HELP I NEED ASAP DUE TODAY 1.Which variable expression is a translation of the word phrase "three less than the product of a number and six"? 3−6n 6n−3 6(3−n) 6(n−3) 2.Fatima is three times the age of her younger sister Melody. Which expresses both ages in terms of Melody’s age m? Melody: m3 Fatima: m Melody: 3m Fatima: m Melody: m Fatima: 3m Melody: m Fatima: m + 3 Assessment navigation 3.A triangle has sides of length 10, 8, and y inches. Which is an expression for the perimeter of the triangle, and what is the perimeter when y = 7? y(10+8) The perimeter is 126 inches when y = 7. 10(y+8) The perimeter is150 inches when y = 7. 8(10+y) The perimeter is 136 inches when y = 7. y + 10 + 8 The perimeter is 25 inches when y = 7.
Answer:
1. 3 − 6n
2. Melody: m Fatima: 3m
3. i. Perimeter = y + 10 + 8
ii. The perimeter is 25 inches when y = 7
Step-by-step explanation:
1. Let the number be represented by n, thus the product of the number and 6 is 6n. Since 3 is less than 6n, therefore: 3 - 6n is the appropriate expression.
2. Let Melody's age be represented by m, Fatima is three times Melody's age implies 3m. So that Melody's age is m, while Fatima's age is 3m.
3. Length of the sides of the triangle in inches are 10, 8 and y.
Perimeter = addition of the length of sides of the triangle
= 10 + 8 + y
When y = 7,
Perimeter = 10 + 8 + 7
= 25 inches
Answer:
3-6n
Step-by-step explanation:
What is the slope againnn ?
Answer:
-1/2
Step-by-step explanation:
To find the slope, pick two points on the line, and use the slope formula
( 1,9) and (5,7)
m = (7-9 )/(5-1)
-2/4
-1/2
Answer:
slope = -1/2
Step-by-step explanation:
Find two points on the line that are easy to read. The easiest points to read are points that lie on grid intersections.
For example, use point (1, 9) and point (3, 8).
slope = rise/run
Rise is the vertical distance between points. Up is positive. Down is negative.
Run is the horizontal distance between points. Right is positive. Left is negative.
You need to go from one point to the other points and note the rise and run.
Start at (1, 9).
Go 1 unit down. That is a rise of -1 since you went down 1 unit.
Now go 2 units right. That is a run of +2 since you went 2 units to the right.
slope = rise/run = -1/2
Answer: slope = -1/2
Suppose A has a coordinate of 8 and AB = 3. What are the possible midpoints of AB?
Answer:
The possible midpoints of AB are 6.5 and 9.5
Step-by-step explanation:
Given that the coordinates of A is 8
The length of AB = 3
When A is the maximum coordinates of the two coordinates, A and B, we have;
The midpoint of AB = Coordinates of A - 1/2 × Length of AB
The midpoint of AB = 8 - 1/2 × 3 = 8 - 1.5 = 6.5
The midpoint of AB = 6.5
When A is the minimum coordinates of the two coordinates, A and B, we have;
The midpoint of AB = Coordinates of A + 1/2 × Length of AB
The midpoint of AB = 8 + 1/2 × 3 = 8 + 1.5 = 9.5
The midpoint of AB = 9.5
Therefore, the possible midpoints of AB are 6.5 and 9.5.
What are the factors of x(5x+4)-(5x+4)
Answer:
Step-by-step explanation:
(5[tex]x^{2}[/tex]+4x)-(5x+4)
then we factorise the similar factors
x(5x+4)+1(5x+4)
thus factors will be:
(x+1) and (5x+4)
The life expectancy of a monkey is 15 years, an African elephant 35 years, a beaver 5 years, and a grizzly bear 25 years. Write a relation that describes this information. Determine its domain and range.
Answer:
The domain = 1, 3, 5, 7 and the range = 5, 15, 25, and 35
Step-by-step explanation:
The given parameters are;
The life expectancy of a monkey = 15 years
The life expectancy of an African elephant = 35 years
The life expectancy of a beaver = 5 years
The life expectancy of a grizzly bear = 25 years
Therefore, if the life expectancy of a beaver = X, we have;
The life expectancy of a monkey = 3 × The life expectancy of a beaver = 3·X
The life expectancy of a beaver = X
The life expectancy of an African elephant = 7 × The life expectancy of a beaver = 7·X
The life expectancy of a grizzly bear = 5 × The life expectancy of a beaver = 5·X
Therefore;
The domain = 1, 3, 5, 7 and the range = 5, 15, 25, and 35.
Answer:
Relation = {(Monkey, 15), (African elephant, 35), (Beaver, 5), (Grizzly bear, 25)}
Domain = {Monkey, African elephant, Beaver, Grizzly bear}
Range = {5, 15, 25, 35}
Step-by-step explanation:
1. RelationRelation is just (x,y).
{(Monkey, 15), (African elephant, 35), (Beaver, 5), (Grizzly bear, 25)}
2. DomainI like to put domain as least ---> greatest, but in this case, it's just the names
{Monkey, African elephant, Beaver, Grizzly bear}
3. RangeThe numbers.
{5, 15, 25, 35}
Hope this helped! Please mark brainliest :)
~~ SUMMER ~~
if f(x)=3(x+5) +4/x, what is f(a+2)
Answer:
f(a+2)=3(a+7)+4/(a+2)
Step-by-step explanation:
To determinef(a+2) you need to substitute a+2 for each occurrence of x in the given function. See below for full explanation.
Explanation:
If
f(x)=3(x+5)+4/x
Then
f(a+2)=3(a+2+5)+4/a+2
Simplifying gives:
f(a+2)=3(a+7)+4/(a+2)
Please help its due in a hour
Answer:
160
Step-by-step explanation:
because 360 is the total and 50 plus 50 is 100 subtract that by 360 and it's 160
what is the vertex of y = - | x + 3 | + 5
Answer:
vertex = (- 3, 5 )
Step-by-step explanation:
The general form of the absolute value function is
y = a | x - h | + k
where (h, k) are the coordinates of the vertex
Given
y = - | x + 3 | + 5 ← in general form, then
vertex = (- 3, 5 )
You are choosing between two different cell phone plans. The first plan charges a rate of 26 cents per minute. The second plan charges a monthly fee of $39.95 plus 12 cents per minute. Let t be the number of minutes you talk and C1 and C2 be the costs (in dollars) of the first and second plans. Give an equation for each in terms of t, and then find the number of talk minutes that would produce the same cost for both plans (Round your answer to one decimal place). C1= C2= If you talk for minutes the two plans will have the same cost.
Answer:
285.28571429 minutes
Step-by-step explanation:
Let us represent
The number of minutes you talk = t
C1 = Cost in dollars of the first plan
C2 = Cost in dollars of the second plan
First plan
The first plan charges a rate of 26 cents per minute
Converting cents to dollars
100 cents = 1 dollars
26 cents =
26/100 cents
=$ 0.26
C1 = $0.26 × t
C1 = 0.26t .......... Equation 1
Second Plan
The second plan charges a monthly fee of $39.95 plus 12 cents per minute
Converting 12 cents to dollars
100 cents = 1 dollars
12 cents =
12/100
= $0.12
C2 = $39.95 + 0.12t........Equation 2
Find the number of talk minutes that would produce the same cost for both plans
We would Equate C1 to C2
C1 = C2
0.26t = $39.95 + 0.12t
Collect like terms
0.26t - 0.12t = $39.95
= 0.14t = $39.95
Divide both sides by 0.14
= t = $34.95/0.14
t = 285.28571429 minutes
Therefore, the number of talk minutes that would produce the same cost for both plans is 285.28571429 minutes.
Marvin walks at a speed of 7 feet per second. How many feet per hour is this?
Answer:
7 x 60 = 420
420 x 60 = 25,200
25,200 feet per hour
Step-by-step explanation:
pls make me as brainleist
The figure shows SV intersecting plane A at point P, a right angle. Points R, T and U also lie in the plane. Which statements are true based on the figure?
Based on the figure, the statements that are true are
SV is perpendicular to TPSV is perpendicular to plane Apoint P lies on SV and in plane AThat is, the first, second and fifth statements.
From the image, we will determine the statements that are true based on the figure.
For the first statement - SV is perpendicular to TP
From the figure,
SV is a line intersecting plane A at point P, at right angle. That is, SV is perpendicular to point P. Then, SV is perpendicular to plane A since point P lies on the plane.
Also, P lies on the plane (plane A); then we can infer that TP is parallel to plane A since point T also lie on the plane (plane A).
Since, SV is perpendicular to the plane, then SV is also perpendicular to TP.
∴ The statement (SV is perpendicular to TP) is true
For the second statement - SV is perpendicular to plane A
As stated above, SV is perpendicular to point P. Since point P lies on the plane (plane A), then SV is perpendicular to plane A.
∴ The statement (SV is perpendicular to plane A) is true
For the third statement - points S, P and Q are collinear
Collinear points are points that lie on the same line.
Points S, P and Q are not collinear because, a single line cannot pass through the three points, that is, the points (S, P, and Q) do not lie on a single line.
∴ The statement (points S, P and Q are collinear) is NOT true
(From the image, an example of points that are collinear are points S, P, and V)
For the fourth statement - points R, T, and U are collinear
As explained above, points R, T, and U are not collinear because, a single line cannot pass through the three points, that is, the points (R, T, and U) do not lie on a single line.
∴ The statement (points R, T and U are collinear) is NOT true
NOTE: (The points only lie in the same plane (plane A), that is, they are coplanar)
For the fifth statement - point P lies on SV and in plane A
Since line SV intersects plane A at point P, that means point P lies in plane A. Also point P lies on line SV since it is on the line as shown in the image.
∴ The statement (point P lies on SV and in plane A) is true
For the sixth statement - points U, S, V, and Q are coplanar
Points or lines are said to be coplanar if they lie in the same plane.
Of the given points, only point U lies in plane A. Points S, V, and Q do not lie in the same plane and as well do not lie in the same plane as point U.
∴ The statement (points U, S, V, and Q are coplanar) is NOT true.
(From the image, an example of points that are coplanar are points U,P,R, and T because they lie on the same plane).
Hence, based on the figure, the statements that are true are the first, second and fifth statements. that is
SV is perpendicular to TPSV is perpendicular to plane Apoint P lies on SV and in plane ALearn more here: https://brainly.com/question/17534787
You get paid $6.80 per hour and worked 4 hours of overtime last week .How much overtime pay will you receive for last week ?
Which property is used in the following expression ? 3 (6 + 5) = 18 + 15
Distributive Property.
Answer ASAP, will give brainliest
Answer:
cge
Step-by-step explanation:
I WILL GIVE BRAINLIEST a scale on a map shows that 2 inches = 25 miles Part A: How many inches on the map = 60 miles? ------------------------------------------------------------------------ Part B: How many miles are represented by 1/4 inch on the map?
Answer:
4.8 in, 3.125 mi
Step-by-step explanation:
This situation models direct proportionality, hence, if one variable increases, the other goes increases as well and vice versa. In this case, the variables are inches and miles.
Part A: Since you multiply 60/25 by 25 to get 60 miles, we know that the value in inches will be 2 * 60/25 = 4.8 inches.
Part B: Since you divide 2 by 8 to get 1/4 inches, we know that the value in miles will be 25 / 8 = 3.125 miles.
36=6u+30 PLEASE HELPPPP!!!
Answer: u = 1
36 = 6(1)+30
Step-by-step explanation:
Answer:
1=u
Step-by-step explanation:
36-30=6u+30-30
6=6u
6÷6=6u÷6
1=u
Solve the system using the elimination method.
3x + 2y-z= 8
-3x + 4y + 5z = -14
X- 3y + 4z=-14
Answer:
Step-by-step explanation:
3x + 2y - z = 8
-3x + 4y + 5z = -14
6y + 4z = -6
3x + 2y - z = 8
-3x + 9y - 12z = 42
11y - 13z = 50
6y + 4z = -6
66y - 78z = 300
-66y - 44z = 66
-122z = 366
z = -3
3x + 2y + 3 = 8
3x + 2y = 5
-3x + 4y -15 = -14
-3x + 4y = 1
3x + 2y = 5
-3x + 4y = 1
6y = 6
y = 1
3x + 2 + 3 = 8
3x + 5 = 8
3x = 3
x = 1
x=1, y = 1, z = -3
a rectangle has a height of w^2+3w+9 and a width of w^2+2 express the area of the entire rectangle
Answer:
w⁴ + 3w³ + 11w² + 6w + 18
Step-by-step explanation:
Rectanle area = height * width
area = (w²+3w+9)(w² + 2)
= w²*w² + w²*2 + 3w*w² + 3w*2 + 9*w² + 9*2
= w⁴ + 2w² + 3w³ + 6w + 9w² + 18
= w⁴+ 3w³ + (9w²+2w²) + 6w + 18
= w⁴ + 3w³ + 11w² + 6w + 18
Answer:
w^4 + 3w^3 + 11w^2 + 6w + 18.
Step-by-step explanation:
Area = height * width
= (w^2 + 2)(w^2 + 3w + 9)
= w^2(w^2 + 3w + 9) + 2(w^2 + 3w + 9)
= w^4 + 3w^3 + 9w^2 + 2w^2 + 6w + 18
= w^4 + 3w^3 + 11w^2 + 6w + 18.
Write an equivalent expression by distributing the "-−" sign outside the parentheses: -(3.4p-6q+6) −(3.4p−6q+6)
Answer:
[tex]-(3.4p-6q+6)[/tex] = [tex]-3.4p+6q-6[/tex]
Step-by-step explanation:
Given
[tex]-(3.4p-6q+6)[/tex]
Required
Simplify
[tex]-(3.4p-6q+6)[/tex]
Rewrite as
[tex]-1(3.4p-6q+6)[/tex]
[tex]-1 * (3.4p-6q+6)[/tex]
Open the bracket
[tex]-3.4p+6q-6[/tex]
Combine like terms to create an equivalent expression. 2/5m - 4/5 - 3/5m.
Answer:
Step-by-step explanation:
2/5 m and -3/5 are like terms
[tex]\frac{2}{5}m-\frac{4}{5}-\frac{3}{5}m= \frac{2}{5}m-\frac{3}{5}m-\frac{4}{5}\\\\\\=\frac{(2-3)}{5}m-\frac{4}{5}\\\\\\=-\frac{1}{5}m-\frac{4}{5}[/tex]
Please help Faaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaast 2x ≤ − 2/7 (8x + 8)
Answer:
[tex]x\leq - \frac{8}{15} [/tex]Step-by-step explanation:
[tex]2x \leq - \frac{2}{7} (8x + 8)[/tex]First of all multiply through by 7
We have
[tex]14x\leq - 2(8x + 8)[/tex]Expand the terms in the bracket
That's
[tex]14x\leq - 16x - 16[/tex]Add 16x to both sides
That's
[tex]14x + 16x\leq16x - 16x - 16 \\30x\leq - 16[/tex]Divide both sides by 30
We have the final answer as
[tex]x\leq - \frac{8}{15} [/tex]Hope this helps you