Answer:
c
Step-by-step explanation:
ka
The area of the school is about 827 m² less than the area of the museum.
What is area?Area is the amount of area occupied by an object's flat (2-D) surface or shape.
Given:
Sammy finds satellite images of a school and a museum. They put the images on a coordinate grid (shown below).
School coordinate values are in meters.
To find the area of the school:
The school is rectangular.
Area of the rectangle = length x width
To find the length,
use distance formula.
We interpreted coordinates,
Fort length (-20, 20) and (-40, 80)
For width (-50, 10) and (80, -20)
Distance of length = √(60)²+(-20)² = 20√10
Distance of width = √(30)²+(10)² = 10√10
Area of the rectangle = length x width
Area of the rectangle = 20√10 x 10√10 = 2000 m²
The area of the museum is πr².
And r = 30
The area of the museum = π(30)². ≈ 2827 m².
Subtracting the area's = 827 m².
Therefore, the area of the school is about 827 m² less than the area of the museum.
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Find the mode of the data set. 5, 3, 8, 4, 3, 2, 3, 4, 12, 12, 15, 4, 6, 3, 9
Answer:
3
Step-by-step explanation:
3 occurs the most in this data set
Answer:
The mode is 3.
Step-by-step explanation:
Explain the difference between linear, exponential, and quadratic functions in terms of their graphs, their patterns, and their rates of change.
Answer:
Quadratic functions are those where their rate of change changes at a constant rate. Exponential functions are those where their rate of change is proportional to itself.
An example of a quadratic function would be the shape that a ball makes when you throw it. Gravity causes a constant acceleration, the ball slows down as it is moving up, and then it speeds up as it comes down.
An example of an exponential function would be the population of a bacterium as long as there is enough space and nutrients or how your money grows with compound interest in a bank.
A quadratic function is one in the form
f(x)=ax2+bx+c
It’s rate of change (first derivative) is linear.
f′(x)=2ax+b
The rate of the rate of change (second derivative) is constant.
f′′(x)=2a
Quadratics are then the solutions to the differential equation
f′′=C
An exponential function is one in the following form.
g(x)=Aekx
It’s rate of change is another exponential function.
g′(x)=Akekx
So exponentials are the solutions to the differential equation
g′=kg
Step-by-step explanation:
Yes. : )
Which statement is accurate for the right triangle shown below?
Ꮎ
50
1
a
47
Answer:
The statement that is accurate is csc(θ)=1.06
Step-by-step explanation:
Looking at the reference angle in this triangle, we can see that the side that is 47 units is opposite of it, the side that is 50 units is the hypotenuse, and the side that is 17 units is adjacent to it.
Because we know this, we can plug our sides into the formula for cscθ, secθ, and cotθ.
So:
cotθ=adjacent/opposite = 17/47= 0.36
cscθ=hypotenuse/opposite = 50/47=1.06
Now without even looking at the other statements, we can see that the second one is correct as cscθ=hypotenuse/opposite = 50/47=1.06
Therefore, the statement that is accurate is csc(θ)=1.06.
on the first one shows you how to solve it then second one is the problem just tell me the answer pls have a good day bye
Answer:
1/2 + 10/12. = 1/2 × 6/6 =6/12. 6/12 + 10/12 =16/12. 16/12 = 1 4/12 = 1 1/3
log²(x + 5) + log²(x - 5) = log²11
[tex] log_{2}(x + 5) + log_{2}(x - 5) = log_{2}(11) \\ = > log_{2}(x + 5) (x - 5) = log_{2}(11) \\ = > log_{2}( {x}^{2} - 25) = log_{2}(11) \\ cancel \: \: \: out \: \: \: log_{2} \: \: \: from \: \: \: both \: \: \: sides \\ {x}^{2} - 25 = 11 \\ = > {x}^{2} = 11 + 25 \\ = > {x}^{2} = 36 \\ = > x = \sqrt{36} \\ = > x = 6[/tex]
Answer:x = 6
Hope it helps.
Do comment if you have any query.
Find the measure of 44.
s
24
158°
ts
64 = [?]
Answer:
∠4 = 22
Step-by-step explanation:
Hello There!
The angles shown are consecutive interior angles
If you didn't know consecutive interior angles are supplementary angles meaning that the sum of the two angles is 180
So we can find the missing angle by subtracting the given angle (158 in this case) from 180
180 - 158 = 22
so we can conclude that ∠4 = 22
180.timr3fzgncvdfccfxdfdxxfhk
180-158=22
the measure is 44
helppppppppppppppppppppppppppppp
Answer:
3) Not equivalent
4) Equivalent multiply by 2
5) Equivalent multiply by 2
let X represent the amount of time till the next student will arriv ein the library partking lot at the university. If we know that the dstubtion of arrivlal time can be modeled using an exponential distruibution with a mean of 4 minutes, find the probabiity that it will take between 2 and 132 minutes for the net sutedn to arrive at the library partking lot 0.606531
Answer:
0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
Mean of 4 minutes
This means that [tex]m = 4, \mu = \frac{1}{4} = 0.25[/tex]
Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:
This is:
[tex]P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2)[/tex]
In which
[tex]P(X \leq 132) = 1 - e^{-0.25*132} = 1[/tex]
[tex]P(X \leq 2) = 1 - e^{-0.25*2} = 0.393469[/tex]
[tex]P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2) = 1 - 0.393469 = 0.606531[/tex]
0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.
This is a picture of a cube and the net for the cube what is the surface area of the cube 196cm 504cm 1176cm 2744cm
Answer:
The answer is the third one, 1,176
Step-by-step explanation:
Sketch the graph of the equation below.
y = x2 + 6x + 58
The average daily maximum temperature for Shane’s hometown can be modeled by the function f(x)=12.2cos(πx6)+54.9, where f(x) is the temperature in °F and x is the month.
x = 0 corresponds to January.
What is the average daily maximum temperature in March?
Round to the nearest tenth of a degree if needed.
Answer:
The average daily maximum temperature in March is of 61 degrees.
Step-by-step explanation:
The average daily maximum temperature in his hometown in x months after January is given by:
[tex]f(x) = 12.2\cos{(\frac{\pi x}{6})} + 54.9[/tex]
What is the average daily maximum temperature in March?
March is 3 - 1 = 2 months after January, so this is f(2).
[tex]f(2) = 12.2\cos{(\frac{\pi*2}{6})} + 54.9 = 61[/tex]
The average daily maximum temperature in March is of 61 degrees.
What are the solutions of the quadratic equation 4x2 - 8x – 12 = 0?
Answer:
see bottom
Step-by-step explanation:
divide through by 4
x2 - 2x - 3 = 0
x2 - 3x + x - 3 = 0
(x2 - 3x) + (x - 3) = 0
x(x - 3) + 1(x - 3) = 0
(x + 1) (x - 3) = 0
x + 1 = 0 and x - 3 = 0
x = -1 and x = 3
A coin bank has 17 coins that contains only dimes and quarters. The coins are worth $3.35. How many of each coin are in the bank?
Answer:7 quarters and 6 dimes
Step-by-step explanation:
Mark stated that the slope of the line that passes through these two points (1, -19) and (-2, -7) is -¼. Is Mark correct? Explain. (show your work).
9514 1404 393
Answer:
no
Step-by-step explanation:
The slope formula is ...
m = (y2 -y1)/(x2 -x1)
We can use the values ...
(x1, y1) = (1, -19)
(x2, y2) = (-2, -7)
Putting these into the formula gives ...
m = (-7 -(-19))/(-2 -1) = 12/-3 = -4
The slope is -4, not -1/4. Mark is incorrect.
1.) Put in order from least to
greatest: 7, -11, 4, -2, -5
Answer:
least to greatest is how number appear on a number line. numbers less than 0 or indicated with a negative number. if the number is greater than 0 it's indicated without the negative as the plus is implied.
-11, -5, -2 ,4 , 7
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
1) Congruent
2) Vertical angles
3) 12x - 18 = 8x + 10
4) x = 7
Step-by-step explanation:
1)
Congruent because they're vertical angles.
2)
Vertical angles
3)
12x - 18 = 8x + 10
4)
12x - 18 = 8x + 10
12x - 8x = 10 + 18
4x = 28
x = 7
What Is 20cm rounded to the nearest 10?
Answer:
20
Step-by-step explanation:
quien es el padre de la administración?
Answer:
Frederick Winslow Taylor
Step-by-step explanation:
An air conditioning system can circulate 430 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?
Divide the number of cubic feet that it can circulate by the number cubit feet per cubic yard. That gives the number of cubic yards that it can circulate. It can circulate about 10.37 cubic yards per minute.
The air conditioning system can be circulate in 15.92 cubic yards of air per minute.
Here,
An air conditioning system can circulate 430 cubic feet of air per minute.
We have to find the cubic yards of air which can be circulate in per minute.
What is the value of cubic yard in cubic feet?
1 cubic yard = [tex](3 ft)^3[/tex] = 27 cubic feet.
Now,
1 cubic yard = [tex](3 ft)^3[/tex] = 27 cubic feet.
Hence, Cubic yards of air circulate in per minute = 430/27 = 15.92
So, The air conditioning system can be circulate in 15.92 cubic yards of air per minute.
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The heights,in inches,of each of the players on a girls' basketball team are shown. 66,65,66,70,66,68,63,60,66,68,63,65 Which box plot correctly represents the data?
Given:
Consider the below figure attached with this question.
The given data set is:
66, 65, 66, 70, 66, 68, 63, 60, 66, 68, 63, 65
To find:
The correct box plot for the given data set.
Solution:
We have,
66, 65, 66, 70, 66, 68, 63, 60, 66, 68, 63, 65
Arrange the data set in ascending order.
60, 63, 63, 65, 65, 66, 66, 66, 66, 68, 68, 70
Divide the data set in 4 equal parts by using the parenthesis.
(60, 63, 63), (65, 65, 66), (66, 66, 66), (68, 68, 70)
Minimum value = 60
First quartile: [tex]Q_1=\dfrac{63+65}{2}[/tex]
[tex]Q_1=64[/tex]
Median: [tex]M=\dfrac{66+66}{2}[/tex]
[tex]M=66[/tex]
Third quartile: [tex]Q_3=\dfrac{66+68}{2}[/tex]
[tex]Q_3=67[/tex]
Maximum value = 70
It means the end points of the box plot are 60 and 70. The box lies between 64 and 67. Line inside the box at 66.
The box plot in option A is the only box plot that satisfy the above conditions.
Therefore, the correct option is A.
If 141 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $2.5 and total receipts for the concert was $421.5, how many of each went to the concert?
Answer: There are 69 adults and 72 children went to the concert.
Step-by-step explanation:
Let x be the number of adults, and y be the number of children.
x + y = 141
3.5x + 2.5y = 421.5
x + y =141
x = 141 - y
3.5(141 - y) + 2.5y = 421.5
493.5 - 3.5y + 2.5y = 421.5
493.5 - y = 421.5
-y = -72
y = 72
x + y = 141
x + 72 = 141
x = 69
14. Solve 2/3 + 5/6 and put answer in simplest form.
A. 9/6
B.1 1/2
C 2/3
D. 7/6
Answer:
I believe it is C
Step-by-step explanation:
the answer is supposed to be 3/2 but i dont know
Huh?! Its me DaBaby less gooo i need your help with this question. Yeah Yeah!
Answer:
p = 43 :)
Your welcome DaBaby
What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a
vertex of the triangular bases?
A
a parallelogram that is not a rectangle
O a rectangle
O a triangle that must have the same dimensions as the bases
O a triangle that may not have the same dimensions as the bases
Answer:
a triangle that may not have the same dimensions as the bases
Step-by-step explanation:
The cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases would be a triangle that may not have the same dimensions as the bases.
Solve each equation 2+ 5x - 1x - 22
Answer:
4x-20
Step-by-step explanation:
2+5x-1x-22
First, rearrange to make life temporarily easier.
5x-1x+2-22
Then combine like terms.
5x-1x=4x
2-22=-20
So we have 4x-20
That is simplified as far as it can.
---
hope it helps
find the least common factor of 4,5,6 no links or photo or I will report you
Answer:
60
Explanation:
The new superset list is
2, 2, 3, 5
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 3 x 5 = 60
In exponential form:
LCM = 22 x 31 x 51 = 60
LCM = 60
Therefore,
LCM(4, 5, 6) = 60
I can't figure this problem out- Please help me
Answer:
68 in^2
Step-by-step explanation:
the shape is a trapezoid
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = x (sum of the lengths of the parallel sides) x height
the dimension of the height is not given. We have to determine the value of the height using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² = 6² + height²
100 = 36 + height²
height = 64
the square root of 64 is 8
the height is 8
1/2 x (8 + 9) x 8 = 68in^2
5. chris is a school teacher who earns $32,000 for the 10-month school year. however, the salary is paid out in 12 monthly installments. how much does is the monthly paycheck? _________
Answer:
$2666.66Step-by-step explanation:
Yearly income = $32000Each installment is 1/12 of a yearly income:
$32000/12 = $2666.66Annual salary=32000
Monthly salary
32000/1216000/68000/3$2666.67i need number 22 PLS AND THANK YOU!
Answer:
For any two given points (x1,y1) and (x2,y2), the slope = (y2-y1)/(x2-x1)
Let's take the points (15,3) and (30, 6):
slope = (y2-y1)/(x2-x1)
= (6-3)/(30-15)
=3/15
=1/5 =0.2
The slope, in general, means the rate of change of y, relative to x. In the context of this question, the slope tells us that the amount of concrete that can be poured (in yards) is a fifth of the time taken (in minutes).
Amanda had five and 6700 pounds of peanuts in her pantry how is this number written in expanded notation
Answer: 6000+700+00+0
I hope that helps you