The area of the city park will be equal to 3952 square units.
What is the area?The Area is defined as the space occupied by the two-dimensional geometry in a plane.
We have the following information:-
In City Park, the playground takes up 3/8 of the area:-
[tex]\rm PGA=\dfrac{3}{8}\times CP[/tex]
The soccer field area is 1/3 of the playground area.
[tex]\rm SF=\dfrac{1}{3}\times PGA[/tex]
The product 13×38 can be used to find the area of the soccer field
SF= 13 x 38=494 square units
Noe the PGA will be:-
PGA =3 x SF
PGA= 3 x494=1482 square unit
Now the area of the city park will be calculated as:-
[tex]\rm CP=\dfrac{8}{3}\times PGA\\\\\\CP=\dfrac{8}{3}\times 1482[/tex]
CP=3952 square unit
Hence the area of the city park will be equal to 3952 square units.
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The table below represents a breakdown of food costs for Robert, a traveling
salesman. How much did he spend in total for food on Friday?
A. $45.94
B. $40.80
C. $42.56
D. $41.23
The amount that he spend in total for food on Friday will be $ 40.80. Then the correct option is C.
What is the addition of the numbers?The sum is also know as addition.
The table below represents a breakdown of food costs for Robert, a traveling salesman.
The amount that he spend in total for food on Friday will be
→ 13.30 + 10.76 + 16.74
→ $ 40.80
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Answer:
44.98
Step-by-step explanation:
what property is illustrated by the statement 3+z=z+3???
Answer: Commutative Property of Addition
Explanation:
This is the rule which says that we can add two numbers in any order.
For example, 3+2 = 2+3 since both sides result in 5. The rule can be extended to involve variables, because variables are placeholders for actual numbers. Also, the rule can be extended to any number of terms and not just two.
A more generalized form of the rule could be something like x+y = y+x
i need it fast
Did you know that all 50 states in the United States have some sort of state fair? Fairs and carnivals include a variety of games of chance that aren’t typically “fair.” What does it mean for a game to be fair? In this task, you’ll analyze different scenarios to determine fairness. You will use probability and expected value to make these determinations. You will also use these concepts to make decisions.
As you complete the assignment, keep this question in mind:
How can probability be applied to decision making?
Answer:
If a game is "fair" it most likely means that there is a chance of winning a prize that corresponds with the price of playing the game.
Step-by-step explanation:
There is no one correct answer, but that is the premise of answering a question like that. you will need to elaborate further.
Answer:
There is no correct answer. but you could use-
The key role of probability is to improve decision-making in the face of uncertainties. It helps decision-making objective and data-driven rather than based on instinct.
Step-by-step explanation:
Helpppppppppppppppppppp
Answer:
See below ~
Step-by-step explanation:
Q1
y = (x + 3i)(x - 7)y = x² + 3ix - 7x - 21y = x² + (3i - 7)x - 21Q2
y = (x - √5)(x - i)y = x² - √5x - ix + √5iy = x² - (√5 + i)x + √5iSydney walked 3/4 mile on Monday
5/8 mile on Tuesday, and 1/2 mile on
Wednesday. How far did she walk
Monday through Wednesday?
A 1 1/2 mi
B 1 3/4 mi
C 1 7/8
D 2 1/4
x + 10
Find the value of x
Answer:
Step-by-step explanation:
Comment
All triangles have 180 degrees. In this triangle, there is 1 ninety degree angle. The other two are related.
Equation
x + x + 10 + 90 = 180 Combine the left
Solution
2x + 100 = 180 Subtract 100 from both sides
2x+100-100 = 180-100
2x = 80 Divide by 2
2x/2 = 80/2
x = 40
Answer
x = 40
x + 10 = 40 + 10 = 50
I need help on this question
the opposites would equal each other.
The last 2 answers are the correct ones.
the distance midpoint between A (-6, 8) & B (6, -2)
Answer:
I think 2
Step-by-step explanation:
6-2is 4 8-6 2 both have common 6 and 2 multiple of 6is 2
Estimate 17.26+4.556 by first rounding each number to the nearest tenth. I need help
Answer:
21.9
Step-by-step explanation:
When rounding to the nearest tenth, we are rounding to 1 decimal place.
If the number in the hundredth place is 5 or more, we round up.
If the number in the hundredth place is less than 5, we round down.
17.26 rounded to the nearest tenth is 17.3
as 6 is in the hundredth place, so we round 2 tenths up to 3 tenths.
4.556 rounded to the nearest tenth is 4.6
as 5 is in the hundredth place, so we round 5 tents up to 6 tenths.
Therefore, 17.3 + 4.6 = 21.9
D is Midpoint of CE
C = (-5,?) D = (3,10) E = (?,8)
The table compares the number of songs and the number of videos Ruby's friends keep on their mobile phones.
Can the number of videos Ruby's friends keep on their phone be represented as a function of the number of songs?
Songs Videos
200200200 101010
125125125 545454
310310310 112112112
172172172 373737
215215215 434343
260260260 585858
125125125 666666
322322322 878787
A function assigns the values. The table can be represented by a function.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
No, the number of videos kept on Ruby's friends' phones cannot be expressed as a function of the number of songs. A function produces a distinct result for each input. When the input is 125, we get two distinct results. As a result, the table does not represent a function.
Hence, the table can be represented by a function.
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The axis of symmetry of a parabola is at x = -2. If one x-intercept is (6, 0),
what is the other x-intercept?
Check the picture below.
please help meeeeeeeeeeeeeeeeeeeee
Two cheeseburgers and one small order of fries contain a total of 1320 calories. Three cheeseburgers and two small orders of fries contain a total of 2170 calories. Find the caloric
content of each item.
Answer:
cheeseburger: 470 caloriesfries: 380 caloriesStep-by-step explanation:
The given relations let you formulate two equations in the two unknown values. These can be solved by any of the usual methods.
__
setupLet x represent the caloric content of a cheeseburger, and y the caloric content of a small order of fries. The problem statement tells us ...
2x +y = 1320
3x +2y = 2170
__
solutionSubtracting the second equation from twice the first gives ...
2(2x +y) -(3x +2y) = 2(1320) -(2170)
x = 470
Using the first equation, we can find y:
y = 1320 -2x = 1320 -2(470) = 380
__
A cheeseburger has 470 calories; a small order of fries, 380 calories.
_____
Attached is a graphing calculator solution.
NEED HELP PLEASE ANSWER ASAP! (43)
Answer:
43. (2) $2.00
Step-by-step explanation:
Question 43
Let cheese pizza be c and mushroom pizza be m3c + 4m = 12.503c + 2m = 8.50Subtract Equation 2 from Equation 1.
3c + 4m - 3c - 2m = 12.50 - 8.502m = 4.00m = $2.00(2) $2.00Answer:
(2) $2.00
Step-by-step explanation:
Jack's order
3 slices of cheese pizza and 4 slices of mushroom pizza = $12.50
Grace's order
3 slices of cheese pizza and 2 slices of mushroom pizza = $8.50
The difference between the two orders is 2 slices of mushroom pizza.
The difference between the cost of the two orders is:
$12.50 - $8.50 = $4.00
Therefore, 2 slices of mushroom pizza costs $4.00
So the cost of 1 slice of mushroom pizza is:
$4.00 ÷ 2 = $2.00
f(t)=t^2-3t
g(t)=2t+1
find f(g(t))
Answer:
[tex]f (2t + 1) = 4t^{2} - 2t - 2[/tex]
Frank finished his homework at 8:45. If he started working on it at 6:45, how long did it take him to finish
Answer:
2 hours
Step-by-step explanation:
8:45-6:45=2:00
Mrs. norris is assigning the line up of the trumpet players in the parade. tell whether the events are dependent or independent. explain your answer.
event a: kadonna is chosen to be the first trumpet player in line
event b: jerome is chosen to be the second trumpet player in line
a: the choice of the first trumpeter does not affect the choice of the second, so the events are independent.
b: the choice of the first trumpeter does not affect the choice of the second, so the events are dependent.
c: the person chosen to be first cannot also be second, so the events are independent.
d: the person chosen to be first cannot also be second, so the events are dependent
The event A is an independent event while the event B is a dependent event.
How to find dependent or independent events?
An independent event is one that is not affected by the occurrence of other events while a dependent event is one that is affected by the occurrence of another event.
Event A is an independent event because the first player does not have to wait for any player before he plays.
However, event B is a dependent event as Jerome has to wait for for the first player to play before he can play.
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Using Euler's formula, how many
edges does a polyhedron with 4
faces and 4 vertices have?
[?] edges
The number of edges of a polyhedron with 4 faces and 4 vertices will be 6.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Using Euler's formula, the number of the edges does a polyhedron with 4 faces and 4 vertices have
We know the formula for the edges of the polyhedron will be
F + V = E + 2
The number of faces, vertices, and edges of a polyhedron are denoted by the letters F, V, and E.
Then we have
4 + 4 = E + 2
E = 8 - 2
E = 6
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What is the product of 0 and any number?
Answer:
It will always be 0 because the rule is anything times 0 is 0
Answer:
0
Step-by-step explanation:
Hey there!
The product of any number and 0 is zero
To explain why this is, just think of it visually
So lets say we are visually explaining 7 x 3
Here is a visual explanation
There are 7 strawberries
You take 7 more strawberries
You take 7 more strawberries again
This means that you are taking 7 strawberries 3 times thereby forming the equation, 7 x 3
Now lets say a numeber [tex]x[/tex] times zero is equal to what
Well we can visualize this again
There are [tex]x[/tex] strawberries in a group
You are taking zero of those groups
Meaning there are no groups
So if there are no groups
There are no strawberries
Meaning [tex]x[/tex] times zero is zero
Since [tex]x[/tex] is any number, the statement, the product of 0 and any number is 0 is true
This is why the product of 0 and any number is 0
Can someone solve this for me real quick
Answer:
Square
Step-by-step explanation:
a plane figure with four equal straight sides and four right angles.
a regular hexagon has 18 sides calculate the size of each interior
Answer:
[tex]160[/tex] °
Step-by-step explanation:
An alternative method is to use the exterior angle.
the sum of the exterior angles is ALWAYS 360 °
So you can find the size of the exterior angles of a regular polygon quite easily:
If there are 18 sides ( n = 18 ) , then each exterior angle is:
[tex]\frac{360}{n} =\frac{360}{18} = 20[/tex]°
The sum of the exterior and interior angles is 180° because they are adjacent angles on a straight line.
∴ each interior angle is 180° - 20° = 160°
Investments increase exponentially by
26% every 3 years. If you start with a
$2,000 investment, how much money would you have after 45 years?
would you have after 45 years?
First, complete the equation:
Future Amount = 2,000 (1 + [?])
Enter
The amount of money I would have after 45 years with an exponential increase is $64,060.18.
What is the future value of $2000?The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value R = interest rate N = number of years = 45 / 3 = 15 years$2000 x (1.26)^15 = $64,060.18
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Answer the question below. Type your response in the space provided. Polygon ABCD is translated to create polygon A′B′C′D′. Point A is located at (1, 5), and point A′ is located at (-2, 1). What is the distance from B to B′ ?
The distance from B to B is 5.
This is because the distance between the original and new coordinates would remain the same. This is because it is done by translation and not because of the rotation. The distance between the two will still remain as 5.
(Screenshot included need answer quick assignment due today) Select the graph that matches the equation y = 8
5
10
x + 9.
Answer:
C
Step-by-step explanation:
Since the y-intercept is 9 look at the graphs and see which one has the point (0,9) and its gonna be the answer
I’ll give brianliest to anyone who can help me.
Answer:
the graph cannot represent a function because there are multiple (and likely infinite) places where y has changed but x remains the same
Step-by-step explanation:
The flight path of a rocket, launched from the ground, is modeled by y = 0.5(20x – x2), where y is the height of the rocket in feet from the ground and x is the time in seconds after it was launched. Find the vertex of the parabola and explain what it represents in terms of the context.
a. (20, 0); rocket lands at 0 feet after 20 seconds
b. (10, 50); rocket reaches maximum height of 50 feet after 10 seconds
c. (10, 50); rocket reaches maximum height of 10 feet after 50 seconds
d. (20, 0); rocket reaches 20 feet after 0 seconds
Answer: B. (10, 50)
Step-by-step explanation:
y = 0.5(20x - [tex]x^{2}[/tex])
[tex]y=-\frac{1}{2} x^{2} + 10x[/tex]
to find x coord of vertex use the equation
[tex]\frac{-b}{2a}[/tex]
[tex]x=\frac{-10}{-1} \\\\x=10[/tex]
plug in x to the original equation
y = 0.5(20(10) - [tex](10)^{2}[/tex]
y = 0.5(100)
y = 50
Answer: (10, 50)
Please Help Me !! ITS A MATH PROBLEM
Answer:
Step-by-step explanation:
Remark
You are trying to convert the base function f(x) = x^2 into the child function g(x) = -(x + 3)^2 + 5
UP
Start with the simplest part of the transformations. + 5
If you have g(x) = f(x)+5 what you have done is move the function up 5 units on your grid.
Up side Down
Next is the - sign.
f(x) = x^2
g(x) = - f(x) = - x^2
This has the affect of turning x^2 upside down. It looks like a cup opening towards the counter or down.
Left right
The last step is left / right. This is the hard one. It moves in the opposite direction that you think it should. x +3 moves the parabola left, not right. If you want it to move right, use (x - 3)
Graph
I have enclosed a graph to show you exactly what is going on. The red line is f(x)=x^2
The blue line is g(x) = -(x + 3)^2 + 5
Is y=x(x+3) a linear function?
Step-by-step explanation:
No. If you distribute the 'x', you get:
[tex]y = {x}^{2} + 3x[/tex]
The function is quadratic due to the exponetial term of x^2
Solve for x in the equation 3^2(x+3)÷8(x-4)=64÷2x
Answer:
Hope this helps, it was a hard equation... mark me brainliest
Step-by-step explanation:
9x+27÷8x-24=64÷2x
9x÷8x+3=64÷2x
9x÷8x*2x=61
x^3=244/9
x=
approximately 3.00411