Answer:
64 people/m^2
Step-by-step explanation:
The population density can be found by diving the number of people by the amount of area
I assume that the answer should be in metre squares or the area should be 1.95 million km^2
124000000/(1.95*1000000)
=63.5897...
=64 people/m^2
Answer:
64M people/km^2
Step-by-step explanation:
To calculate the density of population you just have to divide the population by the area of the country or region that you are calculation, in this case it wouldbe like this:
Density of population= [tex]\frac{124 M}{1.95 km^{2} }[/tex]
D= [tex]\frac{124 M}{1.95 km^{2} }[/tex]= 63,58 M[tex]\frac{M}{km^{2} }[/tex]
So rounded to the neares whoel number would be 64 M people per squared kilometer.
HELP ASAP PLZ MARKIN BRAINIEST!!!!
Answer:
Step-by-step explanation:
In the equation given, y = 51.20x + 32.96, x is the number of hours worked. The number of hours worked is multiplied by the rate the plumber charges per hour. So the choice in the left hand column is "the amount the charges increase for each additional hour off work". In other words, if he works only 1 hour, x = 1, then the charge for his labor is 51.20(1) = 51.20. If he works 2 hours, the charge for his labor is 51.20(2) = 102.40.
The 32.96 is fixed as the average cost of the parts. The choice in the right-hand column is "average cost of parts for each visit".
PLEASE HELP ME ASAP WITH STEPS 27 POINTS AND BRAINLIEST! The area of a rectangle is given by the expression 8x 3 − 2x 2 − 11x + 15. If the width of the rectangle is 2x + 3, what is the expression that represents the length of the rectangle?
To find the length, divide the area by the width.
See the attached picture:
Maleek rested a 15.5-foot ladder against a building. The base of the ladder is 8.2 feet from the building. How far up the building does the ladder reach?
To the nearest tenth of a foot, about how far up the building does the ladder reach?
Here is the set up:
Use a^2 + b^2 = c^2
Let c = length of ladder
Let b = distance of ladder's base from the building.
We must find a.
(a)^2 + (8.2)^2 = (15.5)^2
a^2 = (15.5)^2 - (8.2)^2
a^2 = 173.01
Take the square root on both sides.
sqrt{a^2} = sqrt{173.01}
a = 13.1533265754
We now round off to the nearest tenth of a foot.
a = 13.2 feet
Did you follow?
The distance between the point of the base of the building to the point where the ladder touches it for this case is 13.14 ft approx.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Consider the diagram attached below.
We've got:
|AC| = length of the ladder = 15.5 ft|BC| = distance of base of ladder from the base of building = 8.2 ft|AB| = length we needUsually buildings are vertical, so perpendicular to the ground.
Therefore, we can take ABC a right angled triangle, and therefore, use Pythagoras theorem here:
[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\15.5^2 = |AB|^2 + 8.2^2\\|AB|^2= 240 - 67.24\\\\|AB| = \sqrt{172.76} \approx 13.14 \: \rm ft[/tex]
(took only positive root as length cannot be negative).
Thus, the distance between the point of the base of the building to the point where the ladder touches it for this case is 13.14 ft approx.
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Can someone please help me with this math question involving transformation
Answer:
X+ 6
Y+ 1
Step-by-step explanation:
The image of point A after the reflection along the x-axis the is A(-5,-2).
When this point was translated the new point became A(1, -1). The is means the translation from (-5, -2) to (1, -1) can be given by:
for the x-coordinate
-5 + x = 1
x =6
for the y-coordinate;
-2 + y =-1
y = -1 + 2
= 1
Answers are
x + 6 and
y + 1
Answer:
x+6 y+1
Step-by-step explanation:
Josephine earned a 15% return on her investments last year. If the inflation rate that year was 4%, what is her real rate of return?
A. 4%
B. 11%
C.15%
D.19%
Answer:
B. 11%
Step-by-step explanation:
Using the formula
Real rate of return = nominal rate - inflation rate
Note that the nominal rate of a business is the return on investment in a particular year.
Therefore if Josephine earned a 15% return on her investments last year, her nominal rate is also 15%
Since the inflation rate is 4%
Rate of return = 15%-4%
Rate of return = 11%
Grace is a 70-year old woman who paid the utility bill online for the first time. She called her bank's customer service center to make sure she had done the transaction successfully. But the voice recording repeatedly played a message that all representatives were busy, which irked Grace. Which factor would make Grace not recommend the bank to others?
A.
absence of technology
B.
lack of accessibility
C.
lack of financial products
D.
poor reputation
Answer:
D. poor reputation
Step-by-step explanation:
Suppose AB ≅ AE. Can you use the SSS Postulate or the SAS Postulate to prove ABC ≅ AED?
Answer with explanation:
In Δ ABC and ΔA DE
AC=AD----------[Given]
BC=DE----------[Given]
∠BAC=∠DAE-------[Given]
Any of the two criteria which are →[SAS,SSS] can't be used to prove ⇒ΔABC≅ ΔA ED
Because, neither two sides and Included angle of two triangles ,nor three corresponding sides of two triangles, are congruent to each other.
Option A : Neither Apply
1. Angle BAC = angle EAD( given)
2. line BC = line DE ( given)
3. line AC = line AD( given)
4. Triangle ABC is congruent to AED by SAS or SSS postulate of congruency.
The Side-Angle-Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
1. Angle BAC = angle EAD( given)
2. line BC = line DE ( given)
3. line AC = line AD( given)
4. Triangle ABC is congruent to AED by SAS or SSS postulate of congruency.
A toy factor paints all of its rubber balls with 2 coats of of latex for durability. How many square centimeters of latex are needed to cover a rubber ball with a circumference of 16π cm?
Answer:
1 coat: 256π cm² ≈ 804.25 cm²2 coats: 512π cm² ≈ 1608.50 cm² (rounds to 1608 cm²)Step-by-step explanation:
The radius of the ball is ...
r = C/(2π) = (16π cm)/(2π) = 8 cm
The formula for the area of a sphere is ...
A = 4πr²
Filling in the value of the radius, we find the area of the ball to be ...
A = 4π(8 cm)² = 256π cm² ≈ 804.25 cm²
Then 256π or 804.25 is the number of square centimeters needed to cover the given ball with one coat of latex.
If the ball is only considered to be covered when it has two coats of latex, then twice that amount, 512π or 1608.50 square centimeters of latex are required.
The amount of latex needed to cover a rubber ball with two coats, when the circumference of the ball is 16π cm, is 512π cm².
Explanation:To calculate the amount of latex needed to paint a rubber ball, we first need to calculate the surface area of the ball. The formula for the surface area of a sphere is 4πr², where r is the radius of the sphere. Given that the circumference of the sphere (rubber ball) is 16π cm, we can substitute this into the formula 2πr to find the radius, which equals 8 cm.
Substituting the radius into the surface area formula, we get 4π(8 cm)² = 4π(64 cm²) = 256π cm². This is the surface area for one layer of latex. But as the toy factory paints their balls with two coats of latex, we need to double this surface area, which gives us 512π cm² as the total area to be covered with latex.
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Estimate the average rate of change between x = 0 and x = 2 for the function shown.
Answer:
[tex]m=5[/tex]
Step-by-step explanation:
The average rate of change m of a function is calculated using the following formula
[tex]m=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
In this case we look for the average exchange rate between [tex]x = 0[/tex] and [tex]x = 2[/tex].
Therefore we must find [tex]f(2)[/tex] and [tex]f(0)[/tex]
You can see in the graph that when [tex]x = 2[/tex] then [tex]y = 11[/tex]
therefore [tex]f(2) = 11[/tex]
You can see in the graph that when [tex]x = 0[/tex] then [tex]y = 1[/tex]
therefore [tex]f(0) = 1[/tex]
Finally
[tex]m=\frac{f(2)-f(0)}{2-0}[/tex]
[tex]m=\frac{11-1}{2-0}[/tex]
[tex]m=\frac{10}{2}[/tex]
[tex]m=5[/tex]
The estimate of the average rate of change of the function given in the graph above is calculated as: 5.
What is the average rate of change of a function?The average rate of change of a function is the ratio of the change in the function's output values to the corresponding change in its input values over a specified interval.
The average rate of change = f(b) - f(a) / b - a.
Given the function in the graph above, we see that:
a = 0, then f(a) = 1
b = 2. then f(b) = 11
Plugin the values into the formula:
Average rate of change = 11 - 1 / 2 - 0
= 10/2
= 5
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Timothy built a base for a circular tabletop. The base can support a tabletop with a radius of at least 6 inches, but not more than 23 inches. What is the smallest possible area of the tabletop that will fit on Timothy’s table base? Round the answer to the nearest whole square inch. What is the largest possible area of the tabletop that will fit on Timothy’s table base? Round the answer to the nearest whole square inch.
Answer:
The smallest possible are of the tabletop is 113 in²The largest possible area of the tabletop is 1,662 in²Explanation:
1) What is the smallest possible area of the tabletop that will fit on Timothy’s table base?
The statement that the base can support a tabletop with a radius of at least 6 inches means that the radius has to be 6 inches or more, i.e. the smallest possible radius is 6 inches.
a) Area of a circle: A = π r²
The smallest area is given by the smallest radius, which we have just stated that is 6 in.
b) Calculations:
With that A = π (6 in)² = 36π in² ≈ 113.10 in².
Round the answer to the nearest whole square inch: 113 in²
2) What is the largest possible area of the tabletop that will fit on Timothy’s table base?
The statement that the base can support a tabletop with a radius no more than 23 inches means that the radius has to be 23 inches or less, i.e. the largest possible radius is 23 inches.
a) Area of a circle: A = π r²
The largest area is given by the largest radius, which we have just stated that is 23 in.
b) Calculations:
With that A = π (23 in)² = 529 π in² ≈ 1,661.9 in².
Round the answer to the nearest whole square inch: 1,662 in².
Answer is 113 for the first then 1662 for the second
Step-by-step explanation:
PLS HELP SHOW ALL YOUR WORKING OUT AND BRAINLIEST WILL BE AWARDED
Answer:
5.97 cm to 3 significant figures.
Step-by-step explanation:
The diameter of the circle will be equal to the length of the diagonal of the square.
Area = 56 = πr^2
r^2 = 56 / π
r = √(56 / π) = 4.222 cm
So the diameter = 8.444 cm.
This is = diagonal of the square so, by The Pythagoras Theorem:
x^2 + x^2 = 8.444^2 where x is the side of the square.
x^2 = (8.444)^2 / 2
x^2 = 35.651
x = 5.971 cm
PLEASE HELP! The students at Jefferson Middle School are raising money for a charity by selling T-shirts and hats. The number of T-shirts sold was 3 times the number of hats. The profit was $5 for each T-shirt sold and $2.50 for each hat sold. The students raised $840 for the charity. They used the system below to analyze their success and found the solution to be (144, 48).
5x+2.50y=840
x=3y
How much did they earn from T-shirt sales?
They earned $128 from the T-shirts.
They earned $144 from the T-shirts.
They earned $360 from the T-shirts.
They earned $720 from the T-shirts.
Answer: They earned $720 from the T-shirts.
Step-by-step explanation:
Given : The number of T-shirts sold was 3 times the number of hats.
The profit was $5 for each T-shirt sold and $2.50 for each hat sold.
The students raised $840 for the charity.
Let x denotes the number of T-shirts sold and y denotes the number of hats sold.
then, we will have the given system :-
[tex]5x+2.50y=840\\x=3y[/tex]
It is also given that they used the system below to analyze their success and found the solution to be (144, 48).
It means x= 144
It means the number of t-shirt sold = 144
The amount they earn from t-shirt = [tex]144\times5=\$720[/tex]
Hence, they earn $720 from the T-shirts.
Answer:
this is just proof of verification if you don't believe the guy above me
Step-by-step explanation:
Need help with this math question
Answer:
The measure of angle x is [tex]m\angle x=84\°[/tex]
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc it comprises.
so
[tex]m\angle x=\frac{1}{2}(168\°)=84\°[/tex]
Which statement is true for the equation 4x – 4x – 5 = –5? (5 points) It has no solution. It has one solution. It has two solutions. It has infinitely many solutions. Answer me!!!
Answer:
it has no solution
Step-by-step explanation:
4x-4x will cancel outadd 5 to both sides which make the 5 cancel out0A toy rocket is launched at an initial velocity of 50 ft/s at an angle of 75° with the horizontal. How long will it take for the rocket to travel 20 feet horizontally?
Answer:
t = 1.55 sec
Step-by-step explanation:
Because we are asked to find the time it will take for the rocket to travel horizontally, we are only concerned with the x-dimension here.
We are told that the initial velocity is 50 ft/s and the angle is 75 degrees.
The equation we are going to need to solve this involves the displacement, the initial velocity, the acceleration, and the time...all in the x dimension:
Δx = V₀t + 1/2at²
We have the displacement, we can solve for the initial velocity, we know acceleration, and time is what we are solving for.
Let's work to fill in these values:
Δx = 20 feet
V₀x = V₀ cos Ф (that's the closest thing I could find to theta)
a = 0 (acceleration is always 0 in the horizontal dimension)
t = ?
From the information we can determine the initial velocity in the x dimension using the formula
[tex]V_{0x}=V_{0}cos(\theta)[/tex]
Solving for the initial velocity in the x-dimension:
[tex]V_{0x}=50cos(75)[/tex], which gives us from our calculators that initial velocity in the x-dimension is 12.941 (I am not paying attention to significant digits here since 50 has only 1).
Now we can fill in our equation with the info:
[tex]20=12.941t+\frac{1}{2}(0)t^2[/tex]
Because a = 0, the whole portion of the equation after the plus sign equals 0, so we can disregard and simply solve:
20 = 12.941t so
t = 1.55 seconds
The time it will take for the rocket to travel 20 feet horizontally is 1.545 seconds.
What is the equation of motion?There are three equations of motion, v= u +at, s = ut +(1/2)at²and v² = u²+2as.
The initial velocity is 50 ft/s
The angle is 75 degrees.
s = ut +(1/2)at²
v= u cos [tex]\rm \theta[/tex]
v = 50 cos 75
v = 12.94 ft/s
a = 0 in horizontal direction
s = 20
20 = 12.94 *t
t = 20/12.94
t = 1.545 seconds.
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Select the correct answer. A company employs 48 people in various departments. The average annual salary of each employee is $25,000 with a maximum variance of $3,000. What is the range of the total salary that the company pays to its employees annually? A. $1,056,000 ≤ x ≤ $1,344,000 B. $264,000 ≤ x ≤ $336,000 C. $88,000 ≤ x ≤ $112,000 D. $22,000 ≤ x ≤ $28,000
Answer:
A. $1,056,000 ≤ x ≤ $1,344,000
Step-by-step explanation:
The average annual salary of each of the 48 employees is given as;
$25,000
The total salary that the company pays to its employees annually is thus;
$25,000 * 48 = $1,200,000
Now, the total annual maximum variance of the employees salaries would be;
$3,000 * 48 = $144,000
The lower limit of the total salary that the company pays to its employees annually is calculated as;
$1,200,000 - $144,000 = $1056000
The upper limit of the total salary that the company pays to its employees annually is calculated as;
$1,200,000 + $144,000 = $1344000
Therefore, the range of the total salary that the company pays to its employees annually is;
$1,056,000 ≤ x ≤ $1,344,000
The total annual salary range for a company with 48 employees, where each earns an average of $25,000 with a maximum variance of $3,000, is calculated by multiplying the number of employees by the minimum and maximum salaries. The range is from $1,056,000 to $1,344,000 (Option A).
Explanation:The goal is to find the range of the total annual salary that the company pays to its employees. The average annual salary for each of the 48 employees is $25,000, with a possible variance of $3,000 either way. This means that the lowest possible salary could be $22,000 ($25,000 - $3,000) and the highest possible salary could be $28,000 ($25,000 + $3,000).
To find the range of the total salary that the company pays annually, we multiply the number of employees by the minimum and maximum possible salaries.
Multiply the number of employees (48) by the minimum possible salary ($22,000) to get the minimum total salary.Therefore, the range of the total salary that the company pays to its employees annually is from $1,056,000 to $1,344,000. The correct answer to the question is A. $1,056,000 ≤ x ≤ $1,344,000.
What is the quotient of (4x2 − 15x + 9) ÷ (x − 3)?
Answer:
The quotient is 4x- 3.
Step-by-step explanation:
Which of the following parabolas opens down?
ANSWER
The correct answer is C.
EXPLANATION
The directrix of the parabolas are parallel to the x-axis. This means that, the orientation of the parabola is parallel to the y-axis. We compare the focus and the directrix to determine whether the parabola opens downwards or upwards.If the directrix is above the focus, then the parabola opens downwards.On the other hand if the directrix is below the focus , then the parabola must open upwards.If you look at option C, y=-2 isthe directrix. The focus is (3,-5). Since the the y-value of the focus , -5 is less than y=-2 which is the directrix, this parabola must open down.The correct answer is C.
Two numbers have been added together and There are some is 67 one subtracted the difference is 11 what is the smaller number please help
Answer:
2 no.be x and y
x+y=67
x-y=11
solving both eqx
x=39
y=28
small no=28
Solve the equation by graphing.
m^2 + 2m =3
Answer:
Step-by-step explanation:
Identify whether the figure has plane symmetry, symmetry about an axis, or neither.
There's no axis of symmetry in a house, no way to rotate it a little bit without changing it. There is plane symmetry, two different ways, the one shown in the last choice, and one through the center of the front and back.
Answer: Plane symmetry only, last choice
Answer: C) plane symmetry and symmetry about an axis
Step-by-step explanation: Please see the image below!
find the solution of this system of equations -7x+y=-20 9x-3y=36
Final answer:
To find the solution of the system of equations -7x+y=-20 and 9x-3y=36, we can use the method of substitution. The solution is x = 2 and y = 6.
Explanation:
To find the solution of the system of equations -7x+y=-20 and 9x-3y=36, we can use the method of substitution or elimination. Let's use the method of substitution:
Step 1: Solve one equation for one variable in terms of the other variable. From the first equation, we have y = 7x - 20.
Step 2: Substitute this expression for y in the second equation. Substitute the value of y from Step 1 into the second equation: 9x - 3(7x - 20) = 36.
Step 3: Simplify and solve for x. Distribute the -3 to both terms inside the parentheses: 9x - 21x + 60 = 36.
Step 4: Combine like terms: -12x + 60 = 36.
Step 5: Subtract 60 from both sides of the equation: -12x = -24.
Step 6: Divide both sides of the equation by -12: x = 2.
Step 7: Substitute the value of x back into one of the original equations to find y. Using the first equation, we have -7(2) + y = -20. Simplifying, we get y = 6.
Therefore, the solution to the system of equations is x = 2 and y = 6.
Three parts of yellow paint are mixed with 4 parts of red paint to make orange paint Zahid has 75 ml of yellow paint and 120ml of red paint what is the maximum amount of orange paint he can make
Answer:
175ml of orange paint
Step-by-step explanation:
3/4 = 75/x
3 × 25 = 75 so...
4 × 25 = 100 so...
75 + 100 = 175ml of orange paint
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is
Answer:
16 in = 2W + 2L
Step-by-step explanation:
The equation for the perimeter of this rectangle is
P = 16 in = 2W + 2L.
Without knowing the value of either W or L, we can do no more at this point.
What are the minimum, first quartile, median, third quartile and maximum of the data set 3,5,7,8,12,13,14,18,21
Answer:
3, 7, 12, 14, 21
Step-by-step explanation:
3 is the minimum value of the data set.
The median is 12. (it is in the middle of 3 and 12 if you look at the question)
The first quartile is 7 (if you count, it is equidistant from either end)
the third quartile is 14. (it is in the middle of 12 and 21 if you look at the question)
21 is the maximum value of the data set.
Answer: 3 is minimum, 7 is first quartile, 12 is median, 14 is third quartile, and 21 is maximum.
The average house in a neighborhood measures 55 ft by 35 ft by 20 ft tall. What is the total outside surface area?
[tex]\bf \textit{surface area of a rectangular prism}\\\\ SA=2(Lh+Lw+wh)~~ \begin{cases} L=length\\ w=width\\ h=height\\ \cline{1-1} L=55\\ w=35\\ h=20 \end{cases} \\\\\\ SA=2[(55\cdot 20)+(55\cdot 35)+(35\cdot 20)]\implies SA=2[1100+1925+700] \\\\\\ SA=2(3725)\implies SA=7450[/tex]
Simplify (x^4y)^3.
A. x4y3
B. x7y3
C. x12y3
Answer:
The answer is C.
Step-by-step explanation:
[tex]{( {x}^{4} y)}^{3} = {x}^{4 \times 3} {y}^{3} = {x}^{12} {y}^{3} [/tex]
Need help with a math question PLEASE HELP
Answer:
(-1, -3)
Step-by-step explanation:
We suppose your notation means you want to reflect given point P across the horizontal line y=1.
The x-coordinate will remain the same.
The new y-coordinate will be such that y=1 is the midpoint between the original and its reflection:
(5 + y)/2 = 1
5 + y = 2 . . . . multiply by 2
y = 2 -5 = -3 . . . subtract 5
The reflected point is (-1, -3).
___
The same sort of math applies whenever you have a midpoint and want to find the other end point. Double the midpoint value and subtract the end point you have in order to find the other end point.
Can someone help me out
Answer: LAST OPTION.
Step-by-step explanation:
The Pythagorean Theorem states the following relationship between the three sides of a triangle that has an angle of 90 degrees, known as "Right triangle":
[tex]a^2=b^2+c^2[/tex]
Where "a"is the hypotenuse and "b" and "c" are the legs of the right triangle.
If the triangle ABC is a right triangle then AB must be equal to [tex]BC^2+AC^2[/tex], then, you need to substitute the values into [tex]a^2=b^2+c^2[/tex] to check this:
[tex]12^2=5^2+10^2\\144\neq 125[/tex]
Then the triangle ABC is not a right triangle.
Therefore, the statement that justifies why this triangle is not a right triangle is:
[tex]5^2+10^2\neq 12^2[/tex]
The ratio of a to b is 2 to 3, where a and b are positive. If x equals a increased by 50% of a and y equals b decreased by 50% of b, what is the value of x/y?
Answer:
3/1.5
x=3
y=1.5
x÷y= 2
I hope this helps. Question was worded odd.
If x equals a increased by 50% of a and y equals b decreased by 50% of b, the value of x/y is:
[tex]\frac{x}{y} =2[/tex]
Concept of Ratio
The ratio of a to b is 2 to 3
This can be written as:
[tex]a:b=2:3[/tex]
This can also be re-written as:
[tex]\frac{a}{b}=\frac{2}{3}[/tex]
x equals a increased by 50% of a
x = 1.5a
x = 1.5(2)
x = 3
y equals b decreased by 50% of b
y = 0.5b
y = 0.5(3)
y = 1.5
Therefore, the ratio x/y will be:
[tex]\frac{x}{y} =\frac{3}{1.5} \\\\\\\frac{x}{y} =2[/tex]
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