The town with the greater population density is C. Town A, with about 1,027 people per square mile.
What is the population density?Population density is the quotient of the number of individuals (population) living in a specified location divided by the geographic size of the area, usually measured in squared miles.
Towns Population Squared Miles Persons/square mile
Town A 397,546 387 1,027 (397,546/387)
Town B 264,108 261 1,012 (264,108/261)
Thus, we can conclude that Town A has a greater population density than Town B.
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please answer the problem in the image :)
question: "The lengths of the three sides of a triangle (in centimeters) are consecutive odd integers. If the perimeter is 45 centimeters, find the value of the shortest of the three side lengths."
The value of the shortest of the three sides of the triangle is 13 cm.
How to find the length of a triangle?A triangle is a polygon with threes sides. The perimeter of a triangle is the sum of the whole three sides.
The lengths of the three sides of a triangle (in centimetres) are consecutive odd integers. The perimeter is 45 cm.
The shortest side of the three sides can be calculated as follows:
let
the first side = x
second side = x + 2
third side = x + 4
Hence,
perimeter = x + x + 2 + x + 4
45 = 3x + 6
45 - 6 = 3x
3x = 39
divide both sides by 3
x = 39 / 3
x = 13
Therefore,
shortest side = 13 cm
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Select the correct text.
A spherical ball for a machine was made with a radius of 2 centimeters.
If the ball has a mass of 278.1 grams, which material was used to make the ball?
Copper-8.3 g/cm³
Brass -8.6 g/cm³ Iron - 7.8 g/cm³
The mass of the ball is 278.1 g, the material used to make the ball must be brass which having density of 8.6 g/cm³.
How to find mass of the ball ?To determine the material used to make the ball, we need to first calculate the volume of the ball.
The volume of a sphere with radius r is given by:
V = (4/3) * π * r^3
Plugging in the given values, we get:
V = (4/3) * π * (2 cm)^3
= (4/3) * π * 8 cm^3
= (4/3) * 8π cm^3
= 32π cm^3
We can then use the density of each material (given in g/cm³) to calculate the mass of the ball if it were made of that material:
Copper: 8.3 g/cm³ * 32π cm³ = 266.4 g
Brass: 8.6 g/cm³ * 32π cm³ = 275.2 g
Iron: 7.8 g/cm³ * 32π cm³ = 250.4 g
Since the mass of the ball is 278.1 g, the material used to make the ball must be brass.
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Help pls explain!!!!!!!!!!!!
The exact value of the logarithmic expression 12 · ㏒₃ [z⁷ / (y⁵ · t²)] is equivalent by logarithm properties to -711 / 5.
How to determine the result of logarithmic expression by logarithmic properties
In this question we must determine the exact value of a logarithmic expression by means of logarithm properties, which are described below:
Logarithm of a product
㏒ (a · b) = ㏒ a + ㏒ b
Logarithm of a division
㏒ (a / b) = ㏒ a - ㏒ b
Logarithm of a power
㏒ aⁿ = n · ㏒ a
Now we proceed to determine the exact value of the expression:
12 · ㏒₃ [z⁷ / (y⁵ · t²)]
12 · [㏒₃ z⁷ - ㏒₃ (y⁵ · t²)]
12 · (㏒₃ z⁷ - ㏒₃ y⁵ - ㏒₃ t²)
12 · (7 · ㏒₃ z - 5 · ㏒₃ y - 2 · ㏒₃ t)
12 · (7 · 7.74 - 5 · 11.03 - 2 · 5.44)
-711 / 5
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Question What is the decibel level of the noise from a motorcycle with intensity 10-2 watts per square inch? Use a logarithmic model to solve. Provide your answer below: 100 dB
The decibel level of the noise from a motorcycle with intensity 10⁻² watts per square inch (W/in²) is equal to 50 dB.
What is sound intensity?In Science, sound intensity can be defined as a measure of the power of a sound wave per unit area. This ultimately implies that, sound intensity is a quantity that is typically be used for measuring the energy of sound and its unit of measurement is Watts per square meter (W/m²) or .
How to calculate the sound intensity level?Mathematically, sound intensity level or decibel level can be calculated by using this formula:
[tex]\beta = 10 log(\frac{I}{I_{ref}} )[/tex]
Note: The reference value of sound intensity is equal to 1.0 × 10⁻¹² watts per square inch (W/in²).
Since the intensity of the noise from this motorcycle is 10⁻² W/in², the decibel level (in dB) would be calculated as follows:
Decibel level, β = 10 × log(10⁻²/10⁻¹²)
Decibel level, β = 10 × log(10¹⁰)
Decibel level, β = 10 × 10
Decibel level, β = 100 dB.
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A train takes 16 hours to travel a distance of 35,376 km. Find the distance travelled in one hour if it covers the same distance every hour
Help!! Please!!!!
Helppp
Answer: 60
Step-by-step explanation:
The square root of 144 is 12.
12 = x/5
You multiply 5 on BOTH sides (make sure when you do something to one side you do it to the other)
60 = x
PLEASE HELP SOON I NEED TO LEAVE TO MY LAB
Answer: 10: 6 is
ration add them 16
Step-by-step explanation:
Are the two functions inverse of one another ?
Pleas help me find the equation for this chart please
Answer: y = 1/12x
Step-by-step explanation:
(24, 2)
(12, 1)
find slope (y2 - y1) / (x2 - x1)
2 - 1 / 24 - 12
1 / 12
find y intercept
y = mx + b
1 = 1/12(12) + b
1 = 1 + b
b = 0
y = 1/12x + 0
y = 1/12x
A movie streaming service charges a set fee for
membership each month, plus an additional fee
for the number of movies streamed each
month. If 2 movies are streamed, the cost is
$14 per month, however if 6 movies are
streamed, the cost is $20. Write an equation to
model the cost, y, based on the number of
movies streamed x.
The equation to model the cost 'y' based on the number of movies streamed 'x' would be 14 = 2x and 20 = 6x.
What is a linear equation in one variable?
The linear equation in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
For the first case:
If 2 movies are streamed, the cost is $14 per month
So the cost = number of movies * cost per movie
y = 2*x
14 = 2x
For the second case:
If 6 movies are streamed, the cost is $20 per month
So the cost = number of movies * cost per movie
y = 6*x
20 = 6x
Hence the equation to model the cost 'y' based on the number of movies streamed 'x' would be 14 = 2x and 20 = 6x.
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A competition mark is worked out by doubling the sum of the middle four scores, then adding the average of the top and bottom scores.
Martha scores: 7 7 6 8 5 9
What is her competition mark?
The required competition mark is given as 60, as of the given condition.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
A competition mark is calculated by doubling the sum of the top and bottom four scores and then averaging them.
According to the question,
Competition mark = 2 [7 + 6 + 8 + 5] + [7 + 9] / 2
Competition mark = 52 + 8 = 60
Thus, the competition mark is 60.
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Find the range of the function f(x)=x^2- 6x if the domain is (-7,-2, 1)
The range of the function will be;
⇒ Range = (91, 16, - 5)
What is Domain?The set of all inputs of the function is called Domain of set.
Given that;
The function is,
⇒ f (x) = x² - 6x
And, The domain = (- 7, - 2, 1)
Now,
Since, The function is,
⇒ f (x) = x² - 6x
We know that;
The range of the function gives the value of y.
Here, The domain (x) = (- 7, - 2, 1)
Put x = - 7;
⇒ f (-7 ) = (-7)² - 6 × - 7
= 49 + 42
= 91
Put x = - 2;
⇒ f (- 2) = (-2)² - 6 × - 2
= 4 + 12
= 16
Put x = 1;
⇒ f (1) = (1)² - 6 × 1
= 1 - 6
= - 5
Thus, The range = (91, 16, - 5)
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Adnan bought
pounds of apples for $0.72 per pound and
pounds of bananas for $1.60 per pound.
a%2Bb=12 [1]
.75a%2B1.05b=10.20 [2]
Use elimination: multiply the first equation by .75 and then compare the two equations (i.e., subtract one equation from the other):
.75a%2B.75b=9
.75a%2B1.05b=10.2
.3b=1.2
3b=12
b=4
ANSWER: He bought 4 pounds of bananas, which means 8 pounds of apples.
CHECK: 8($.75)+4($1.05) = $6+$4.20 = $10.20
(a) The area of a rectangular parking lot is 6279 m². If the length of the parking lot is 91 m, what is its width? Width of the parking lot:
Answer:
The width of the parking is 69 meters
Step-by-step explanation:
Rectangle area = L*W
6279 = 91*W
Widht = 6279/91
W = 69 m
rate?
2) James Bond took 4.5 minutes to complete a Grand Prix circuit when driving at an average speed.
97 mph. How long would it take to complete one circuit driving at a speed of 112 mph.
Answer: 30 meters
Step-by-step explanation:
A boy is standing on an elevator which is traveling downward with a constant velocity of 30 meters per second.
Adam currently run about 20 mile per week, and he want to increae hi weekly mileage by 10%. How many mile will Adam run per week? He will run mile per week
A large tree casts a shadow that is 51 feet long. A 6-foot-tall person standing next to the tree casts a shadow that is 4.5 feet long. How tall is the tree?
Answer:
68 feet tall
Step-by-step explanation:
Imagine the shadows for both the tree and the person are set up like right triangles. The length of their shadows are the bases of the triangles, while the actual heights of the tree and person are the heights of the triangle. We can set up proportions since "height of the person" divided by " their shadow's length" should equal "height of tree" divided by "tree shadow length".
Set up a proportion of the person's high height relative to their shadow's length (which is 6/4.5). Set this equation equal to the tree's proportion (which is x/51).
Solve for x.
[tex]\frac{6}{4.5} = \frac{x}{51}\\Isolate x by multiply 51 to both sides\\\\(306/4.5)=x\\68=x[/tex]
The proportion is solved and the height of the tree is A = 68 feet
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
Now , we can set up the following proportion:
Height of tree / length of tree's shadow = height of person / length of person's shadow
On simplifying , we get
A / 51 = 6 / 4.5
Now we can solve for A by cross-multiplying and simplifying:
A = 51 x 6 / 4.5
A = 68 feet
Therefore, the tree is 68 feet tall
Hence , the proportion is solved
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its a 50 50 question both A and B are wrong please help
Answer: d/ 30x +200 <= 1400
Step-by-step explanation:
It can't be the first two answers because the truck can only hold 1400
So it must be < or = 1400
It says that she loaded computers for 200 pounds and x number of books, 30 pounds each.
So the equation is 30x + 200 <=1400
T (6,2) T’ (9,3 find the scale factor was used in the dilation shown
The scale factor of the transformation is 1.5
What is the scale factor of the dilationFrom the question, we have the following parameters that can be used in our computation:
Point T (6,2) T’ (9,3)
Also, see attachment for the missing graph in the question
This means that
The scale factor of the transformation = T'/T
Substitute the known values in the above equation, so, we have the following representation
Scale factor = (9, 3)/(6, 2)
Evaluate
Scale factor = 1.5
Hence, the scale factor is 1.5
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1. Consider this system of linear equations: -
y=4/5 x-3
y=4/5 x+1
a. Without graphing, determine how many solutions you would expect this system of equations to have. Explain your reasoning.
b. Try solving the system of equations algebraically and describe the result that you get. Does it match your prediction
The system of linear equations have no solution
System of Linear EquationThe system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables.
In the problem, given the system of linear equations are
y = 4/5x - 3 ...eq(i)
y = 4/5x + 1 ...eq(ii)
a) Since there are two unknown variables(x, y) the number of solutions expected is 2.
b)
From equation (i)
y = 4/5x - 3
Put eq(i) into equ(ii)
4/5x - 3 = 4/5x + 1
0 = 4
There's no solution for x and y
In the calculation, there's no solution for both x and y because the variables in both equation are equal to one another and hence cancel out.
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Find all of the prime numbers between 10 and 20
Answer:
11, 13, 17, and 19!
Step-by-step explanation:
Answer:
11, 13,17 and 19
Step-by-step explanation:
prome numbers are natural numbers that are greater than 1 and not a product of two natural numbers eg 2×5 =10 so it's not a prime number 2×6 or 3×4 =12 it's not also a prime number e.t.c
What is the minimum temperature?
STEM AND LEAF
I will appreciate your help cause my grade is going down :(
7) The minimum temperature is 31⁰F. So, the answer is option B.
What is stem and leaf plot?The frequency of various types of values can be easily observed using a stem and leaf plot, also known as a stem and leaf diagram. This graph displays numerical data that is arranged in chronological order. There is a stem and a leaf for each piece of data.
Each first or second digit of the data value is divided into a stem, and the last digit is represented by a leaf, in a stem and leaf plot, which is represented by a particular table. The stem and leaf plot key is the "|" symbol that is used to indicate the values of the stem and the leaf. In the case of 46, the stem is 4 and the leaf is 6.
7) The minimum value in the stem is 3
And the minimum value in the leaf is 1
So, according to the given key 4|3=43°F
Here | denotes the key symbol.
So, in this solution the minimum value of stem is 3 and the minimum value of leaf is 1
Therefore, it must be 3|1
Hence, from the given key
This can be written as 31⁰F
Therefore, the answer is option B.
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The sum of two numbers is 33. One number is 2 times as large as the other. What are the numbers?
Solve each system by elimination: 4x-7y=10 3x+2y=-7
Using the elimination method, the solution to the system of equations is as follows:
x = 19 / 13 and y = - 74 / 13
How to solve system of equation?System of equations can be solved using different methods such as the elimination method, substitution method, and graphical method.
Let's use the elimination method to solve the system of equations as follows:
The elimination method is the process of eliminating one of the variables in the system of equations using the addition or subtraction methods in conjunction with the multiplication or division of coefficients of the variables.
Therefore,
4x - 7y = 10
3x + 2y = -7
multiply equation(ii) by 3.5
4x - 7y = 10
10.5x - 7y = 24.5
subtract equation(i) from equation(ii)
6.5x = 14.5
x = 14.5 / 6.5
x = 145 / 65
x = 19 / 13
Let's find y
3(19 / 13) + 2y = -7
57 / 13 + 2y = -7
2y = - 7 - 57 / 13
2y = -91 - 57 / 13
2y = - 148 / 13
cross multiply
26y = - 148
y = - 148 / 26
y = - 74 / 13
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which graph represents the solution to this system of inequalities? y < -x - 3 y > 2x - 4
The intersection region of every solution in the system of inequalities is the system's solution. Inequality y≤x2 should be graphed first. y=x2 serves as the related equation.
Which point is a solution to the system of inequalities?Get y alone on one side of a two-variable linear inequality (like x and y) before graphing it. Once the inequality sign has been replaced with an equality sign, take into consideration the relevant equation that results. This equation's graph is a straight line.Create a comparable graph for every systemic inequality. The intersection region of every solution in the system of inequalities is the system's solution.Example
Graph the inequalities and solve the system:
y≤x−2y>−3x+5
Inequality yx2 should be graphed first. y=x2 serves as the related equation.
The border line is solid due to the inequality's, which is not a rigid one.
The inequality yx2 should be substituted in for a point that is not on the line, such as (0,0).
0≤0−20≤−2
It's untrue. The point (0,0) is therefore not part of the solution. Subtract from the line's lower half.
To do the same for the second inequality's related equation, y>3x+5, which has a rigorous inequality, draw a dashed line. The half that does not contain the point (0,0) should be shaded because it does not satisfy the inequality at that location.
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Andre wanted to measure the width of a creek by his camp but cannot get to the other side of the creek. Andre decided to construct two triangles to determine the width of the creek indirectly. Sighting the position of a tree on the opposite bank of the creek and placing 4 wooden pegs at point N, O, P, and Q as shown in the figure, such that MN is perpendicular to NP, NP is perpendicular to PQ, and O is the midpoint of NP. Andre claims that triangle MNO and triangle QPO are congruent.
Part A: Provide a valid argument, using geometry theorems or postulates, to validate
Andre's claim that AMNO and APQO are congruent.
Part B: Which segment should Andre measure to determine the width of the creek? Explain why.
Use the space below to answer Parts A and B of the question above. Use the CER (Claim, Evidence, Reasoning) method as a guide to your response. You may also upload a screenshot of your work
Triangles MNO and QPO are congruent.
What is congruent triangle?When two triangles are congruent, their three sides and their three angles match precisely.If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.Formally speaking, two sets of points are said to be congruent if—and only if—they can be changed into one another by an isometry, which is a combination of rigid motions like translation, rotation, and reflection. Therefore, if two separate plane figures on a piece of paper can be cut out and then perfectly fitted up, they are congruent.It is given that
O is the midpoint of NP,
NP is perpendicular to MN, and
NP is perpendicular to PQ.
When two lines intersect at a specific point, the opposite angles formed in this situation are equal.Then ∠MNP =∠QPO=90°∠MON=∠QOP∠MOP=∠QONTherefore, Triangles MNO and QPO are congruent.
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what is m% of n? HII PLS HELP! :0
Answer:SLOPE
Step-by-step explanation:M in a equation is slope
When Alvin woke up in the morning, it was –
9°F. By the afternoon, the temperature had risen to –
2°F.
There is a 7°F difference in temperature between the morning and the afternoon.
What causes the temperature change?A body's level of heat might alter as a result of a temperature shift.To calculate the difference, subtract the final temperature from the initial temperature.Change in temperature now equals -2-(-9) = -2+9=7.As a result, there is a 7°F difference in temperature from morning to afternoon.Alvin awoke in the morning to a temperature of -9°F. The afternoon saw a rise in temperature to -2°F.We need to figure out why the temperature changed from the morning to the afternoon.To learn more about change in temperature refer to:
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For a ride on a rental scooter, Kevin paid a $2 fee to start the scooter plus 12 cents per minute of the ride. The total bill for Kevin's ride was $19.64. For how
many minutes did Kevin ride the scooter?
minutes
Answer:
1 minute, Because per minute is $2, 12 cents
A total of 1,043 players signed up for a citywide soccer league. Each team in the league can have up to 18 members. How many teams will be needed?
Answer:
58 teams
Step-by-step explanation:
This is a division problem. There are a total of 1043 players and there is a max number of 18 members per team. 1043 divided by 18 = 57 and a remainder. Because there is a remainder you add one more team for the remaining members.
Answer: 57.9
Step-by-step explanation:
Based on the given conditions, formulate: 1043 / 18
Evaluate the equation/expression: 57.9444
get the result: 57.9444
After rounding: 57.9
Answer: 57.9