Answer:
$50
Step-by-step explanation:
A university designs its campus with a master plan of two concentric circles. All of the academic buildings are within the inner circle (so that students can get between classes in less than 10 minutes), and the outer circle contains all the dormitories, the Greek park, cafeterias, the gymnasium, and intramural fields. Assuming the center of campus is the origin, write an equation for the outer circle if the diameter is 3800 feet. Equation Editor
Answer:
[tex]x^2+y^2=36100000[/tex]
Step-by-step explanation:
Here it is mentioned that the there are two concentric circles this means that they have the same center.
The center of the circles are the origin [tex](0,0)[/tex].
Radius of the outer circle is
[tex]r=\dfrac{3800}{2}=1900\ \text{m}[/tex]
Equation of a circle
[tex](x-a)^2+(y-a)^2=r^2[/tex]
where
[tex]a\ \text{and}\ b\ \text{are the}\ x\ \text{and}\ y\ \text{coordinates of the center}[/tex]
[tex]r=\text{Radius of the circle}[/tex]
Here the equation will be
[tex](x-0)^2+(y-0)^2=1900^2\\\Rightarrow x^2+y^2=3610000[/tex]
The equation of the outer circle is [tex]x^2+y^2=3610000[/tex]
Expand the following expression 3(4−5x)
Answer:
12-15x
Step-by-step explanation:
3 × 4=12
3 × -5x=-15x
12 - 15x
How many solutions does this equation have?
7a+5(a+3) = 8a+4(a+2)
Answer:
There is no solution
Step-by-step explanation:
Please help.. I’m stuck on this question
Answer: The answer is 1
Step-by-step explanation: The distance between -7 and -3 is 4 then half the distance in between -7 and -3 is going to be -5 because we just clarified that the distance between -7 and -3 is 4 so we did 4/2 and got 2 so we can figure out whats the distance between each point. Now that we figured that out we can determine what value the blue dot is if the value between each point is 2 then we can make out what the rest of the points on the line. If we from -3 to the blue point that would be 1.
Given h(x) = 5x + 3. what is the value of h(-11)
Answer:
h(-11)=-52
Step-by-step explanation:
Answer:
h(x)=52
Step-by-step explanation:
so x= -11 now plug in for x and solve
5(-11)+3
-55+3= -52
Graph. f(x) = |2x+2| - 1
Answer:
I included the graph for you, hope this helps!
Step-by-step explanation:
Does the following road sign have rotational symmetry?
Yes
No
Answer:
YES
Step-by-step explanation:
ITS JUST YES
(01.04 MC)
What is the slope of the line which passes through (2,5) and (3, 6)? (5 points)
Answer:1
Step-by-step explanation:6-5/3-2=1/1
What is the slope of a line parallel to a line whose slope is 5/2?
Answer:
5/2
Step-by-step explanation:
Parallel lines have the same slopes
Answer:
Step-by-step explanation:
because the new line is parallel, it will have the same slope as the original equation.
slope
=
−
3
we know the slope and a point, so we can use the point slope formula:
y
−
y
1
=
m
(
x
−
x
1
)
y
1
is the y coodinate,
x
1
is the x coordinate,
and m is the slope
plug the values in
y
+
2
=
−
3
(
x
+
5
)
Write the number in
standard form
6 tens+7=
Answer:
60 + 7 =
Step-by-step explanation:
its correct lol omg sjsjsjjsjsjsssjsjsnsnssn
Answer:
Answer: 67
10 x 6 + 7 = 67
Find the general solution of the given higher-order differential equation. y''' + 3y'' + 3y' + y = 0
Answer:
[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]
Step-by-step explanation:
We can determine the characteristic equation all we have to do is:
let y' = m, hence y" = m², y'" = m³
Therefore, the higher-order differential equation becomes:
m³ + 3m² + 3m + 1 = 0
(m + 1)(m² + 2m + 1) = 0
(m + 1)(m + 1)(m + 1) = 0
(m + 1)³ = 0
m = -1, -1, -1
Therefore the general solution is given as:
[tex]y(x)=c_1e^{-x}+c_2xe^{-x}+c_3x^2e^{-x}[/tex]
[tex]c_1,c_2,c_3\ are\ constants.[/tex]
The sum of two squares of two consecutive numbers is 145. What are those two numbers?
Answer:
8 and 9
Step-by-step explanation:
Answer:
Think!
72 + 82 = 49 + 64 = 113
82 + 92 = 64 + 81 = 145
Step-by-step explanation:
Found the answer by simple experimentation.
hope this helps
Analyzing a System
Solve the system of inequalities.
x² - gpg
v> 2
Which describe the solution set of the given system?
Check all that apply
The solution set is unbounded.
The point (1, 0) is in the solution set.
There is one point of intersection of the boundary
curves
The boundaries of the overlapping region are in the
solution set.
The boundary curves intersect at approximately
(-3,0).
Answer:
A, C, E
Step-by-step explanation:
took the assignment on edge
Answer:
a , c and e
Step-by-step explanation:
got it right on edg ^u^
Question
A line with a positive slope Is parallel to one of the lines shown. What is its slope? Use the graph shown
below.
The slope is
Answer:
¼
Step-by-step explanation:
The slope of the line which is positive, will be the same as the slope any of the given line that has a positive slope also.
Thus, how do we know which line we should we calculate the slope for? The line that shows a positive slope would be the line we are to calculate the slope.
The blue line shows a positive slope. We know this because positive slope usually slants up as from our left to our right.
The red line has a negative slope. It slants down from left to right.
Next, find the slope of the blue line using the coordinates of any two points on the line. Let's use the following points, (0, 2) and (4, 3)
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 0} [/tex]
[tex] slope(m) = \frac{1}{4} [/tex]
The slope of the line that is parallel to the blue line is ¼.
What is the perimeter of the composite figure? Round to the nearest tenth
Answer:
123.8 units
Step-by-step explanation:
The vertices of the polygon has been labelled ABCDEF, as shown in the diagram attached below.
Perimeter of the Polygon = [tex] \overline{AB} + \overline{BC} + \overline{CD} + \overline{DE} + \overline{EF} + \overline{FA} [/tex]
[tex] \overline{AB} [/tex] = |-12 - 24| = |-36| = 36 units
[tex] \overline{BC} [/tex]: calculate the distance between B(24, 16) and C(15, 3) using the distance formula.
[tex] \overline{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
[tex] \overline{BC} = \sqrt{(24 - 15)^2 + (16 - 3)^2} [/tex]
[tex] \overline{BC} = \sqrt{(9)^2 + (13)^2} [/tex]
[tex] \overline{BC} = \sqrt{81 + 169} = \sqrt{250} [/tex]
[tex] \overline{BC} = 15.8 units [/tex]
[tex] \overline{CD} [/tex] = |6 - 15| = |-9| = 9 units
[tex] \overline{DE} [/tex] = |3 -(-12)| = |-15| = 15 units
[tex] \overline{EF} [/tex] = |-12 - 6| = |-18| = 18 units
[tex] \overline{FA} [/tex] = |18 -(-12)| = 30 units
Perimeter = 36 + 15.8 + 9 + 15 + 18 + 30 = 123.8 units
890 g of copper is mixed with 100 g of zinc to form brass. The density of copper is 8.9 g/cm³ and the density of zinc is 7.1 g / cm ³ .
a ) What is the volume of copper and zinc used to make the brass ?
b ) Calculate the density of the brass .
Density ρ is equal to mass m per unit volume v, or
ρ = m / v
Solve for volume:
v = m / ρ
(a) 890 g of copper, which has a density of 8.9 g/cm³, has a volume of
v = (890 g) / (8.9 g/cm³) = 100 cm³
100 g of zinc, with density 7.1 g/cm³, has a volume of
v = (100 g) / (7.1 g/cm³) ≈ 14.08 cm³
(b) The density of brass is then
ρ = (890 g + 100 g) / (100 cm³ + 14.08 cm³) ≈ 8.68 g/cm³
Susan has two pieces of ribbon, one 18 inches long and the other 12 inches long. To decorate an album, she wants to cut them up to produce many pieces of ribbon that are all of the same length, with no ribbon left over. What is the greatest length, in inches, that she can make them? PLEASE HURRY IM TAKING A TIMED TEST!!
Answer:
I'm pretty sure its 12 inches
Step-by-step explanation:
Which statement best describes the graph of 2c - 5y=-25 and the graph of y= +5?
Answer:
To easily compare the two linear equations just by looking at the equation, let's rearrange this into the slope-intercept formula: y = mx + b, where m is the slope and b is the y-intercept.
2x - 5y = -25
(-5y = -25x - 2x)-1
5y = 25/5 +2x/5
y = (2/5)x + 5
Thus, the slope is 2/5 and the y-intercept is 5.
y=52x + 5
The slope is 52 and the y-intercept is 5.
Thus, we can say that the two linear equations have the same y-intercept. This is the point in the y=-axis in which the two lines intersect. They must intersect at (0,5).
Step-by-step explanation:
What is the measure of BDC
Answer:
105 degrees
Step-by-step explanation:
180 - 75 = 105
The class has a ratio of 5 boys for every 8 girls. If the school has 312 students, how many are boys
Answer:
120, if I did it right
Step-by-step explanation:
In a group of 13 students, 5 are boys. Turn that into a fraction, 5 over 13 or 5/13. Just multiply 5/13 times 312 and you get your answer, 120.
(8,3) (5,6) what is slope??
Answer:
-1
Step-by-step explanation:
4+(8/(8-7)+6-12)x10)
The answer is 24, hopes this helps!
2 1.3.3 Quiz: Random Sampling
Question 1 of 10
Three national news networks are trying to estimate what percentage of
American voters support a particular presidential candidate. To estimate the
population parameter, each of the three networks collect data from a simple
random sample of voters. Here are the numbers of voters in the networks'
random samples:
• Network A: 3800 voters sampled
• Network B: 3500 voters sampled
• Network C: 3250 voters sampled
Which sample is likely to have the least variability?
A. The Network A sample
OB. The Network B sample
OC. The Network C sample
Answer:
A. The Network A sample
Step-by-step explanation:
The variability of a dataset is a measure of how values in the dataset deviates from the mean value, the variability of a dataset is usually measured using the variance and standard deviation of the data values.
In statistics, variability is curbed by increasing the sample size of the data as larger values in the sample usually means that the sample mean will be close to the population mean. Hence, since network A has the highest number of Sampled voters, then Network A will likely have lesser variability than both Network B and C. Similarly, Network B will likely have lesser variability than Network C.
Network A: 3800 voters sampled
• Network B: 3500 voters sampled
• Network C: 3250 voters sampled
Answer:
A.
Step-by-step explanation:
Just took the test
The value of a car dropped from $35,600 to $30,189 over the last year. Determine the absolute and relative
change in this situation. Round your answer to the nearest hundredth.
Absolute change=
Relative change=
Step-by-step explanation:
Given data
old price= $35,600
new price=$30,189
Absolute change= old price -new price
Absolute change=35,600-30,189
Absolute change=5411
Relative change=(old price -new price)/old
Relative change=(35,600-30,189)/35,600
Relative change=5411/35,600
Relative change=0.151
the relative change is a percentage= 0.151*100= 15.1%
The length of a rectangle is 4 feet less than twice its width, while the perimeter is 15.
Answer:
width: 3.83
length: 3.66
Step-by-step explanation:
The perimeter of a triangle is calculating by adding all the sides together (length + length + width + width). Since we are given the formula for the length we can simply substitute that formula and solve for the width which would be the only variable in the equation.
length + length + width + width = 15
(2w-4) + (2w-4) + w + w = 15 ... combine like terms
6w - 8 = 15 ... add 8 on both sides
6w = 15 ... divide both sides by 6
w = 3.83
Now that we know the value for the width we can plug it into the formula for the length to find its value
l = 2w - 4
l = 7.66 - 4
l = 3.66
Finally, we can see that the rectangle has a width of 3.83 and a length of 3.66
PLEASE HELP!!!!!!!!BRAINLIEST PLUS 16 POINTS
y = −5x2 + 10x + 12.
Part A: Show your work to complete the square of the function. (1 point)
Part B: Identify the vertex of the function. (1 point)
Part C: Explain how to determine the maximum or minimum value of the function. (2 points)
Answer:
5x2=10+10=20+12= 32.
Step-by-step explanation
The correct answer is 32.
Hope I helped.
The value of n is a distance of 3 units from 1 an 1/2 on a number line click on the number line to the possible values of n
Answer:
3
Step-by-step explanation:
Given the question :
The value of n is a distance of 3 units from 1 an 1/2 on a number line click on the number line to the possible values of n
From the context of the expression:
n is the distance which exists between 1 1/2 and 3 units from it;
Which may be ;
1 1/2 - - - - (1 1/2 + 3) = 4 1/2
1 1/2 - - - - - (3 - 1 1/2)
Either way, there exists a distance of 3 units between 1 1/2 and 3 units from it.
Hence, n = 3
Answer:
1 and 3 would both be correct
Write an equation in slope-intercept form of the line that passes through (4, 6) and (9,2)
Answer:
m=0
b=-9
Step-by-step explanation:
Slope is equal to the change in
y
over the change in
x
, or rise over run.
m
=
change in y
change in x
The change in
x
is equal to the difference in x-coordinates (also called run), and the change in
y
is equal to the difference in y-coordinates (also called rise).
m
=
y
2
−
y
1
x
2
−
x
1
Substitute in the values of
x
and
y
into the equation to find the slope.
m
=
−
9
−
(
−
9
)
2
−
(
−
4
)
The equation of the line is equal to y=-5x/4 +c
What is the slope-intercept form of a line?The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line
Given here: The given line passes through (4,6) and (9,2)
We know the slope intercept form is given by
y=mx+c
putting (4,6) in the equation we get
6=4m+c
Again substituting (9,2) in the equation we get
2=9m+c
Thus solving this two equations we get the value of m=-5/4 and c=11
Hence, The equation of the line is equal to y=-5x/4 +c
Learn more about the slope intercept form here:
https://brainly.com/question/29146348
#SPJ2
The population of the United States increased by 27323632 in 2011. What proportion of this change is accounted for by Florida population? Round to the nearest hundredth. The population change for Florida is 218929 in 2011. Plz help
Answer:
To the nearest hundredth, this has a value of 0.01
Step-by-step explanation:
To find the proportion of the population change accounted for by Florida population, we just need to divide the population change for Florida by the population change in the entire country;
Mathematically, that will be ;
218929/27323632 = 0.008012441391393
To the nearest hundredth, this represents 0.01
What is the percent of decrease from 2,000 to 1,000?
Answer:
50%
Step-by-step explanation:
2,000 is 2 x more than 1,000. Or, 1,000 is half of 2,000 and half of 100%=50%.