The area to which Zippy's Pizza makes delivery is 16·π square miles
The responses are;
First Part: x² + y² = 4²Second Part: √5 miles east and √5 miles west from route 26Third Part: 2·√5 milesFourth Part: 2·(√5 - 2) milesReasons:
The radius of the area that Zippy delivers pizza = 4 miles
Direction in which Empire Street runs = East to west
Direction of the route 26 route = North to south
Location of Zippy's Pizza parlor = 3 miles south of Empire street
-First Part:
The equation that represents the radius of delivery for Zippy's Pizza is given by the equation of a circle as follows;
(x - h)²+ (y - k) = r²
Where:
(h, k) = The center of the circle which is the location of Zippy's Pizza
r = The radius of the circle
Zippy's Pizza is at the center of the circular area with coordinates (h, k) = (0, 0)
r = 4 miles
-Which gives;
(x - 0)² + (y - 0)² = 4²
The equation that represent the radius is; x² + y² = 4²
-Second part:
The locations of addresses on Empire street, relative to Zippy's Pizza are given by the equation;
y = 3
Therefore, we have;
The furthest distances east and west on Empire street that can receive Zippy's Pizza delivery are given by the equation;
x² + 3² = 4²
x = √(4² - 3²) = ±√5
The furthest distances that can receive Zippy's Pizza delivery are ±√5 miles (east and west) from route 26
-Third Part:
Location of Little Cubs = 2 miles west and 4 miles north of Zippy's
The distance from Little Cubs Field to Zippy's = √((2² + 4²) = 2·√5
The distance from Little Cubs Field to Zippy's = 2·√5 miles
-Fourth Part:
The distance between Little Cubs Field from Zippy's radius of delivery, d, is found as follows;
d = 2·√5 - 4 = 2·(√5 - 2)
Therefore, d = 2·(√5 - 2) miles
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Graph the function f(x) = x^2 + 4x-12 on the coordinate plane.
Answer:
x-intercepts: (-6,0) and (2,0)
y-intercepts: (0,-12)
Minimum value at x = -2
What is the y-intercept in the equation y = 4x-3?
Answer:
-3
Step-by-step explanation:
y = mx + b
b is the y-intercept
Answer:
(0,-3)
This the answer hope this help
Writing in Math Stacy multiplied 5 x 9 and said the nswer was 44. What two patterns could you use to show nat her answer is not correct?
Answer:
5*9= 45
Step-by-step explanation
Well using your hands you can put down your fifth finger and that will give you four fingers on the left and five on the right that then equals 45
Which expression is equivalent to 21 x + 35 y – 14 = 0?
y = x + 2
B y = x – 7
C y = -x + 14
D 3x + 5y = 2
Answer: D: 3x + 5y = 2
Step-by-step explanation:
D. Divide 21 x + 35 y – 14 = 0 by 7 to get:
3x + 5y -2 = 0
Rearrange: 3x + 5y = 2
Find the slope of the line represented by the data below x| 0 2 4 6 8
y|15 9 3 -3 -9
Slope=[?]
Answer:
it's answer is 10/-15.........
Solve for b.
8b−1=24b+4
ans = -7
Answer:
Step-by-step explanation:
yeah your answer was wrong so you clearly need help
8b-1=24b+4
subtract 4 from both sides
8b-5=24b
subtract 8b from both sides
-5=16b
divide by 16
b=-5/16
Answer:
b = -5/16
Step-by-step explanation:
8b - 1 = 24b + 4
8b - 24b = 4 + 1
-16b = 5
16b = -5
b = -5/16
How would you slove ;
-2x+2y=3 & 2×-2y=2
in order to get y by itself ?
Answer:
simultaneous linear equation
Step-by-step explanation:
you can use two methods:
substitution method
elimination method
A cyclist travels at an average speed of 11 mph for 3 hours. How far did she travel in miles?
Answer:
33 miles
Step-by-step explanation:
The cyclist traveled for 3 hours ar 11 miles per house to find how many miles she traveled simply multiply the speed times the amount of time traveled 11 times 3 is 33
1 hour = 11 miles
3 hours = 11 x 3 miles
= 33 miles.
Ans: 33 miles
I know this is already answered but I was bored lol.
The ratio of the angles in a quadrilateral are 7:4:5:2. What is the smallest angle?
Answer:
Step-by-step explanation:
The smallest angle in the quadrilateral with a ratio of 7:4:5:2 is 40 degrees.
To find the smallest angle in the quadrilateral, we need to determine the ratio of the angles and find the corresponding value for the smallest angle.
Given the ratio of the angles as 7:4:5:2, we can assume that the smallest angle corresponds to the ratio of 2.
To calculate the smallest angle, we can consider the sum of the ratio values as a whole, which is 7 + 4 + 5 + 2 = 18.
Now, we can find the value of the smallest angle:
Smallest angle = (2/18) * 360 degrees
= (1/9) * 360 degrees
= 40 degrees.
Therefore, the smallest angle in the quadrilateral is 40 degrees.
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A candy store sells 25 types of candy. Out of these 25 types, 12 contain chocolate. What percent of the candy types sold contain chocolate?
Answer:
Step-by-step explanation:
[tex]Percentage of chocolate candy = \dfrac{12}{25}*100\\\\ = 12*4\\\\[/tex]
= 48%
List numbers that are between -21 and -12
Answer:
-13 -14 -15 -16 -17 -18 -19 -20
Answer:
-20, -19, -18, -17, -16, -15, -14, -13,
Step-by-step explanation:
Please help explain my answer!!
Why does a compass point towards the earth's geographic North Pole?
My answer:
Because that's where Earth's south magnetic pole is located and they attract.
Make sure to explain your answer.
Help!
The correct answers are that Earth’s North Pole is close to the magnetic south pole, magnets allowed to move freely align themselves to point north, and the north pole on a compass is attracted to Earth’s south pole. I really hope this helps you!!
What is y=2x? (its in the mathematics Georgia book)
0.35 is best classified as a ________ number.
Fill the blank
why this stuff hard
Answer:
rational number (might be wrong)
0.011 divided by 0.25
Answer:
0•044 is the correct answer
Answer:
0.044
Step-by-step explanation:
HELP ASAP!!!!!!!!! IM SO PUZZLED
HELP ASAP You are preparing to move into a new house. The walls of your room will measure 10 feet by 12 feet.
When you look at the blueprint, the lengths of the walls on the drawing are 7.5 inches by 9 inches. What
is the scale used on the blueprint?
The Scale used on blueprint is 1 inches represents 4/3 feet
Scaling is the increase or decrease in size of a figure or object so as to create an image of that object.
Since on the blueprint, the walls measure 10 feet by 12 feet but on the blue print it measures 7.5 inches by 9 inches. Hence:
Scale used on blueprint is 7.5 inches = 10 feet or 9 inches = 12 feet
1 inches = 4/3 feet
The Scale used on blueprint is 1 inches represents 4/3 feet
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Explain how you will find the area of a rectangle with dimensions of 2x + 6 and 2x 6
here is your perfect answer
gamsahamnida
What's the Area of rectangle with Width=200 Length=400
Answer
80000
Step-by-step explanation:
200×400
=80000
Which compound inequality is represented by the graph?
O x < -4 or x2 3
Ox<-4 and x 2 3
O xs-4 or x <3
O xs-4 and x < 3
Simplify the expression.
18+(-4)-2/7 j-6/7j+5=
(Simplify your answer.
Answer:
(18-4+5)+(2/7 j-6/7 j)=
19 +(-4/7 j)=
please answer the all questions
Answer:
e)
a = 58°
alternate angles
b = a = 58°
Triangle is scalene (indicated by the 2 dashes on the triangle)
d = 180 - (58*2)
d = 64°
c = 58°
use either 180- (64+58)
which is angles in a straight line = 180 total
or
alternate angles
b = c = 58
f) x = 50°
alternate angles
y+z = 180-50
y+z = 130
we know that y = z
scalene triangle indicated by arrows (both bases are same angle)
so 130/2 = y and z
65 = y
65 = z
g) x = 55
alternate angles
on the diagram take the triangle which has x and y
you can see 95° outside the triangle, it’s on a straight line and will help us find the third angle for that triangle
180-95 = 85
180 - (85+55) = y
y = 40
z = y = 40
alternate angles
h)
180-78 = 102
beside angle a would be the angle 2a
alternate angles (look at the photo)
180 = 102 + a + 2a
180 = 3a + 102
78 = 3a
a = 26°
2a = 52
b = 26
use either alternate angles
a = b
or total angles in a triangle = 180°
102 + b + 56 = 180
b = 180-52-102
An investment of $5,690 earns interest at a rate of 4% and is compounded quarterly. What is the
accumulated value of the investment at the end of 7 years?
what is the slope of the line
Answer:
1.5 OR 3/2
Step-by-step explanation:
Slope (m) = ΔY/ΔX= 3/2=1.5
θ = arctan(ΔY/Δx)= 56.30993247402°
ΔX = 3 – 1 = 2
ΔY = 0 – -3 = 3
Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464
Equation of the line:
y = 1.5x – 4.5
or
y=3/2x-9/2
Thus, 3/2
Answer:
m = 1.5Step-by-step explanation:
Use the coordinates of two points on the graph:
(1, -3), (3, 0)Find the slope using slope formula:
m = (y₂ - y₁)/(x₂ - x₁)m = (0 - (-3))/(3 - 1) = 3/2 = 1.5On a coordinate plane, 4 points are plotted. The points are (1, 4), (2, 6), (3, 9), (4, 13.5).
Which statements are true for the given geometric sequence? Check all that apply.
The domain is the set of natural numbers.
The range is the set of natural numbers.
The recursive formula representing the sequence is f(x + 1) = Three-halves(f(x )) when f(1) = 4.
An explicit formula representing the sequence is
f(x) = 4(three-halves) Superscript x
The sequence shows exponential growth.
Answer: See below.
Step-by-step explanation:
The domain is the set of natural numbers. Yes
The range is the set of natural numbers. Yes
The recursive formula representing the sequence is f(x + 1) = Three-halves(f(x )) when f(1) = 4. Yes See attachment
An explicit formula representing the sequence is
f(x) = 4(three-halves) Superscript x No See attachment
The sequence shows exponential growth. Yes
Answer:
1,3,5 are correct. please ignore the other person.
Step-by-step explanation:
Urgently please it is due today
Answer:
1/4.
Step-by-step explanation:
There are 12 possible outcomes.
There are are 3 outcomes represented by 4B.
So required probability = 3/12 = 1/4.
Evaluate the formula z=
x−μ
σ
n when μ=119, n=29, x=116, and σ=9.
Work Shown:
[tex]z = \frac{\overline{x}-\mu}{\frac{\sigma}{\sqrt{n}}}\\\\z = \frac{116-119}{\frac{9}{\sqrt{29}}}\\\\z \approx \frac{-3}{\frac{9}{5.3851648}}\\\\z \approx \frac{-3}{1.671258}\\\\z \approx -1.795055\\\\z \approx -1.795\\\\[/tex]
PLEASE HELPPPPPPPPPPPPP
In a recent year, 34.7% of all registered doctors were female. If there were 48,900 female registered doctors that year, what was the total number of registered doctors?
ROUND YOUR ANSWER TO THE NEAREST WHOLE NUMBER
Answer:
140922
Step-by-step explanation:
48900/34.7 = 1409.2219
1409.2219 *100 = 140922.19
rounded - 140922
Complete the table using the equation y = 8x + 8 ( helppp plsss)
Answer:
-5 , 3 , 11 , 19 , 27
Step-by-step explanation:
typing bc I need to have 20 letters
Given that p varies directly as q and
[tex] \sqrt{q} [/tex]
varies inversely with t², show how p varies with t.
Answer:
Above is the step-by-step solution
[tex]\\ \sf\longmapsto p\propto q [/tex]
[tex]\\ \sf\longmapsto p=kq[/tex]
Divide both sides by q[tex]\\ \sf\longmapsto \dfrac{p}{q}=k[/tex]
[tex]\\ \sf\longmapsto q=\dfrac{p}{k}[/tex]
Now
[tex]\\ \sf\longmapsto p\propto \sqrt{q}[/tex]
[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^2}[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{k}{t^2}[/tex]
Substitute√q[tex]\\ \sf\longmapsto \sqrt{q}=\dfrac{k}{t^2}[/tex]
[tex]\\ \sf\longmapsto q=\dfrac{k^2}{t^4}[/tex]
Substitute q=p/k[tex]\\ \sf\longmapsto \dfrac{p}{k}=\dfrac{k^2}{t^4}[/tex]
[tex]\\ \sf\longmapsto p=\dfrac{k}{t^4}[/tex]
[tex]\\ \sf\longmapsto p\propto \dfrac{1}{t^4}[/tex]
Done