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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Domain of f(x) ~
[tex] - 6 \leqslant x \leqslant - 1[/tex]
Range of f(x) ~
[tex] - 5 \leqslant x \leqslant - 3[/tex]
Domain of f(x): -6 ≤ x ≤ -1
Range of f(x): -5 ≤ x ≤ -3
Please help I’m giving extra points
She can tell by looking at all the possible solutions. Due to the fact that she can solve this equation multiple ways, Elana knows that there are many solutions to this problem.
I hope this helps! :)
Owen had 8,452 books donated to our school. If he shares with with 23 classes about how many books does each class get?
Answer:
how many kids are in each class though
Cindy just became a personal trainer and is finalizing her pricing plans.
Answer:
Nice
Step-by-step explanation:
Which of the following is the equation of a line that passes through the point
(1.2) and is parallel to the x-axis?
A. y = 1
B. y = 2
C. x = 1
D. X = 2
Answer: A line that is parallel to the x-axis is a horizontal line. In this case, the horizontal line passes through a point, (1,2). All points on a horizontal line will have the same y value. Therefore, y=2 for every point on this line and that is the equation of the line.
Step-by-step explanation i Hope this helps
some one please
change the subject to x
a+b/x=r
Answer:
X = b(r - a)
Step-by-step explanation:
b/x = r - a
X = b( r - a)
enumerate all the given.
if 15,000 pesos is deposited in an account that pays 5% compounded annually, How much will be in the account after 8 years?
Answer:
22161.83 pesosStep-by-step explanation:
Given:
Deposit P = 15000Rate of interest r = 5% = 0.05Compound number n = 1Time t = 8Amount after 8 years:
A = P(1 + r)^tA = 15000(1 + 0.05)^8 = 22161.83Rate of interest=r=0.05
So
Amount
P(1+r)^t15000(1+0.05)⁸15000(1.05)⁸22161.83 pesosif i get 1 pack of pepsi bottles 8-pack how much would it be if it i can get 3 for $12.88?
Answer:
38.64
Step-by-step explanation:
If 3 = 12.88
Then Just do 12.88+12.88=25.76 which also equal 6. Then 12.88/2=6.44
so 25.76+6.44+6.44=38.64
Therefore it would be 38.64.
I'm not sure but base on the math above I think the answer is 38.64
11. Consumer Math A store has apples on sale at $3.00 for 2 pounds.
a. How many pounds of apples can you buy for $9. Explain your answer
Answer:
6 pounds
Step-by-step explanation:
3$ for 2 pounds
9$ has three 3$
9 ÷ 3 = 3
Then multiply it to 2 pounds.
3 x 2 = 6
That's how we get the 6 pounds.
**PLEASE HELP ME**
its pre calc !
Answer:
a32 = -80
Step-by-step explanation:
The generic term of an arithmetic sequence is ...
an = a1 +d(n -1)
Using the supplied values for an and n, we can write two equations that can be solved for a1 and d.
-221 = a1 +d(79 -1)
-14 = a1 +d(10 -1)
Subtracting the second equation from the first, we have ...
-221 -(-14) = (a1 +78d) -(a1 +9d)
-207 = 69d . . . . . simplify
-3 = d . . . . . . . . . . divide by the coefficient of d
Then the value of a1 can be found as ...
-14 = a1 +(-3)(9) . . . . substitute for d in the second equation
13 = a1 . . . . . . . . . . . add 27
__
Using our formula to find the 32nd term, we have ...
an = 13 -3(n -1)
a32 = 13 -3(32 -1)
a32 = -80
The 32nd term of the sequence is -80.
Can someone help me with this please?
Answer:
Step-by-step explanation:
The first three terms of an arithmetic sequence are as follows.
52, 44, 36
Find the next two terms of this sequence.
Answer: 8
Step-by-step explanation:
2. Rich and Betsy Cuik started a small business. They manufacture a
microwavable coffee-to-go cup called Cuik Cuppa Coffee. It contains
spring water and ground coffee beans in a tea-bag-like pouch. Each
cup costs the company $1.00 to manufacture. The fixed costs for this
product line are $1,500. Rich and Betsy have determined the demand
function to be q = -1,000p + 8,500, where p is the price for each cup.
a. Write the expense equation in terms of the demand, q.
b. Express the expense equation found in part a in terms of the
price,p.
c. Determine a viewing window on a graphing calculator for the
expense function. Justify your answer.
d. Draw and label the graph of the expense function.
e. Write the revenue function in terms of the price.
f. Graph the revenue function in a suitable viewing window. What
price will yield the maximum revenue? What is the revenue at
that price? Round both answers to the nearest cent.
g. Graph the revenue and expense functions on the same coordinate
plane. Identify the points of intersection using a graphing calcula-
tor. Round your answers to the nearest cent. Identify the price at
the breakeven points.
I
Answer:
Step-by-step explanation:
A) 1.00q+1,500
E=1.00q+1,500
The costs are $1.00 per cup and $1,500.
Let E represents the total cost.
Let q be the demand (number of cups).
Then the total cost is the product of the costs per cup of $1.00 multiplied by the number of cups, increased by the fixed costs of $1,500
There are 48 people in the stands cheering for ——— at the volleyball game and they are wearing white and maroon shirts. The ratio of marron to white is 5:3. How many people were wearing white shirts?
please no links!!
and please help me
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
1. 18 markers per packet.2. 6 minutes per video (actual is 6 minutes 5 seconds) 3. 16 plants per row.4. 12 muffins per batchHope it helps!
Brainliest pls!
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Find angles x and y.
I really need this as fast as possible, is it alright if u can help?
Answer:
x=62, y=62
Step-by-step explanation:
the diagonal line to the 62 angle and the diagonal line towards the left of the x angle are parallel and so are the two horizontal lines. we know angle 3 is 62 now, so y= 180 - 46 - 62 = 72
by alternate interior angles, y=angle 2 and angle2=x so x=72
is it an inverse or a reciprocal? Pls help ASAP!!!
Answer:
An inverse of a fraction is a reciprocal of a fraction. In other words, flipping the numerator and denominator provides the reciprocal of fraction. For example, the reciprocal of fraction 3/5 is 5/3.
Step-by-step explanation:
PLEASE HELP
What is the explicit formula for this sequence?
-6, -2, 2, 6, 10, ...
^ an = (-6) + (n-1)4
What is the value of x
Answer:
16
Step-by-step explanation:
(3x +3) + (5x-2) + (3x+3) =180
3x +3 + 5x-2 + 3x+3 =180
11x +4=180
11x =180-4
11x=176
x=176/11
x= 16
y=-2x
y=-x
y=6x
positive or negative??
Answer:
Positive i s the correct answer.
I hope it will work out
Please answer for me
Step-by-step explanation:
sin b= opposite/hypotenuse
sin b = 60/61
Answer number 4 this is due tomorrow
Answer:
The next mark should be at (3,-3)
In a random sample of 520 adults, the mean was 150 and the standard deviation was 4. 5. The study was reported with a 95% confidence level, and the confidence interval for the study was 150 ± 0. 39. What range of values shows the confidence interval for the study? 146. 1 to 153. 9 149. 61 to 150. 39 150 to 150. 39 150 to 153. 9.
Using the principle of confidence interval, the range which shows the confidence interval of the study is (149.61 ; 150.39)
The confidence interval is defined thus :
150 ± 0. 39Lower boundary = 150 - 0.39 = 149.61
Upper boundary = 150 + 0.39 = 150.39
Therefore, the confidence interval for the study would be (149.61 ; 150.39)
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Solve the equation for x.
x-8 = 2
Answer:
x=10
Step-by-step explanation:
Describe a pattern in the sequence then figure out the next 2 terms.
3, 11, 19, 27, ..., ...
Answer:
35, 43
Step-by-step explanation:
The pattern is that to obtain a term in the sequence , add 8 to the previous term, then
27 + 8 = 35
35 + 8 = 43
35 and 43 are the next 2 terms in the sequence
Answer:
35,43
Step-by-step explanation:
add 8 k so ya but ya and so on
Write the slope- intercept form of the equation
Answer:
y = -3/4x + 1
Step-by-step explanation:
1+1
This is pretty easy I know
Answer: 2
Step-by-step explanation: i dont even need to explain
Answer:
2
Step-by-step explanation:
one apple plus one apple gives you two apples :)
Meaning of =N
please
your ans. in above pic
Write three different multiplication problems for which the product is 9x2 + 18x.
18 ( 1 + X )
sorry if my answer wrong
Given that the zeros of a quadratic function are −2 and −5, what is the standard form of the quadratic function? A) f(x) = x2 + 5x + 10 B) f(x) = x2 + 7x + 10 C) f(x) = x2 − 5x + 10 D) f(x) = x2 − 7x + 10
Step-by-step explanation:
x = -2 and x = -5
x + 2 = 0 and x + 5 = 0
(x + 2)(x + 5) = 0
x² + 5x + 2x + 10 = 0
x² + 7x + 10 = 0
f(x) = x² + 7x + 10
The quadratic equation is x² + 7x + 10.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the zeroes of Quadratic Equation as -2 and -5.
So, the factors of the equation is (x +2 ) and (x + 5).
Then, the Quadratic equation is
= (x+5)(x+2)
= x² + 5x +2x + 10
= x² + 7x + 10
Thus, the quadratic equation is x² + 7x + 10.
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