who plays cold wa?r
The range of an ambulance service is a circular region bounded by the equation x^2 + y^2 = 400. A straight road within the service area is represented by y = 3x + 20. Find the length of the road that lies within the range of the ambulance service (round your answer to the nearest hundredth). Recall that the distance formula is [tex]d=\sqrt{x(x2-x1)^2+(y2-y1)^2[/tex]
The straight road crosses the boundaries of the range of the ambulance service at two points
The length of the road that lies within the range of the ambulance service is approximately 37.95
Reason:
The function that represents the ambulance circular service area is x² + y² = 400
The equation that represents the straight road, y = 3·x + 20
Required:
Length of the road that lies within the range of he ambulance
Solution:
The length of the road is given by the distance between the intersection
points of the road and the ambulance service region as follows;
At the intercepts, we have;
The x, and y-values of the line and the circle are equal, therefore, we have;
At the intercept, y = 3·x + 20, which gives;
x² + y² = 400
x² + (3·x + 20)² = 400
x² + 9·x² + 120·x + 400 = 400
10·x² + 120·x + 400 - 400 = 0
10·x² + 120·x = 0
x² + 12·x = 0
x² + 12·x = x·(x + 12) = 0
x = 0, or -12When x = 0, y = 3×0 + 20 = 20
When x = -12, y = 3×(-12) + 20 = -16
The intersection points of the line and the circle are;
A(0, 20), and B(-12, -16)The length of the segment AB, d, is given as follows;
d = [tex]\sqrt{((-12) - 0)^2 + (-16 - 20)^2} = \sqrt{1440} =12 \cdot \sqrt{10}[/tex]The length of the road that lies within the range of the ambulance service, d, given to the nearest hundredth = 12·√(10) ≈ 37.95
Learn more here:
https://brainly.com/question/23312419
1/2 (3g - 2) = g/2 I need help
Answer:
g = 1
Step-by-step explanation:
1/2 (3g - 2) = g/2
3g - 2 = g
3g = g + 2
3g - g = 2
2g = 2 ÷ 2
g = 1
Determine the cost of the two services will be the same amount and what the price will be? The struts family is deciding between two lawn care services green lawn charges a $49 startup fee plus $29 per month the yard guards charges a $25 start up fee plus $37 per month
Answer:
$136
green lawn
In a car park the ratio of black cars to red cars are 3:4 If there are 12 black cars in the car park how many red cars are there?
in which expressions with exponents be multiplied ? ill give you brainliest fr. or however you spell it
Answer:
7^3 x 7^8
Step-by-step explanation:
I used a calculator, pls let me know if im incorrect
help please sorry it’s blurry
Answer:
z = -70
Explanation:
-12.2z-13.4z=1792
-25.6z=1792
Divide both sides by (-25.6)
z = -70
The relationship between the number of pounds (lb) of beef and the total cost
in dollars is shown in the graph. What is the unit price of beef?
1 lb/$10
$20/2lb
$10/1lb
$1/10lb
Answer:
C
Step-by-step explanation:
I got it right :)
6 identical bags and 3 identical shirts cost 126. 3 such bags cost as much as 2 shirts. what is the cost of one such shirt ?
Answer:
18
Step-by-step explanation:
Write the information algebraically:
6b + 3s = 126
3b = 2s
(b = bags, s = shirts)
The second line in bold means that we can replace 6b with 4s
3b = 2s (multiply both sides by 2)
∴ 6b = 4s
so, 4s + 3s + 126
Now simplify:
7s = 126
We can now find s by dividing both sides by 7:
s = 126 ÷ 7 = 18
1 shirt costs 18
what is the final position on the number line "-3," 8, "-4"
Answer:
1
Step-by-step explanation:
just add the values,,,, i.e,
-3+8-4=1
Can someone plss help me with this!!
QUESTION: b(a-6)
Answer:
ba-6b
Step-by-step explanation:
you transfer ba to 6b
Using the numbers -5, 9, -2, 11, and -4, and the operations add and subtract, what is the largest possible answer you can make?
The largest possible value we can make using subtraction and addition from the given numbers -5, 9, -2, 11, and -4 is 31.
What are subtraction and addition?A mathematical operation that represents combining objects into a larger collection is called addition.
It is denoted by the plus sign (+).
A mathematical operation that represents the process of finding the difference between numbers is called subtraction.
It is denoted by the minus sign (-).
We have,
-5, 9, -2, 11, and -4
The largest possible value we can get is by using sign multiplication.
[ Negative x Negative = Positive ]
We will use addition and subtraction wherever necessary to make all the numbers positive.
= 9 - ( -5 ) - ( -2 ) + 11 - ( -4 )
= 9 + 5 + 2 + 11 + 4
= 31
Thus the largest possible value we can make using subtraction and addition from the given numbers is 31.
Learn more about additions and subtractions here:
https://brainly.com/question/1292482
#SPJ2
what is the effect when a number is added or subtracted to the x (in the bracket)of equation of basic parabola?
Determine which of the following equations define a function. For those that do not,
state the reason for your answer.
x +3=0
Can someone plss help me with this!!
QUESTION: How do we communicate to a computer and what to put on a web page?
Answer:
Using the Internet, computers connect and communicate with one another, primarily using the TCP/IP (Transmission Control Protocol / Internet Protocol). Think of TCP/IP as a book of rules, a step-by-step guide that each computer uses to know how to talk to another computer.
Spoints
You are stenciling wooden boxes to sell at a fair. Stenciling takes 2 hours for a small box and 3 hours for a large box. Profit for a small box is $10 and $20 for a large box. If
you have no more than 30 hours available to stencil, but want at least 12 boxes to sell, how many of each size box should you sell to maximize your profit? (x = small boxes
and y large boxes)
Solve the problem to fill in the blanks below
The number of stenciled wooden boxes needed so as to maximize profit is 6 small boxes and 6 large boxes.
Let x represent small boxes and y represent large boxes.
Since you have no more than 30 hours available to stencil, hence:
2x + 3y ≤ 30
Also, at least 12 boxes are required to sell, hence:
x + y ≥ 12
The solution to this problem gives:
x = 6, y = 6
Hence 6 small boxes and 6 large boxes are needed.
Find out more at: https://brainly.com/question/25285332
Answer:
Step-by-step explanation:
you will multiply the amount of small boxes which will be 12 x 8 = 96
Then the amount of small boxes which will be 17 x 3 = 51
You add them two tg 96+51 = 147
A maritime flag is shown what is the area of the shaded part of the flag
Varian ride a horse. Gelbin rides a rocket-powered robo-ostrich. Gelbin's ostrich ran 4,828 meters (m) which is 2 times as far as Varian's horse
how far did Varian horse run
>
A restaurant investigated the correlation between prices and the number of customers. The linear model below represents this situation,
where x is the average meal price [in dollars), and y is the number of daily customers. Interpret the slope.
y = 437 – 18.5
OA. The average price per meal is $18.
B. The average number of daily customers is 18.
Oc. If the average meal price decreases by $1, the number of daily customers decreases by 18.
D. If the average meal price increases by $1, the number of daily customers decreases by 18.
I'm not in highschool but I did the math I think it's 18
Answer:
The Answer is D
Step-by-step explanation:
437-18.5=419.5
simplify 13-2×8+4-(-20)
Answer:
13 - 2 × 8 + 4 - (-20) = 21
Step-by-step explanation:
I used a calculator, let me know if im incorrect
The length of a rectangle is 2.5
times its width. The length of
the rectangle is 12 cm. What is
the width of the rectangle?
Answer:
4.8 cm
Step-by-step explanation:
To find the answer, lets use the information we have. We need to find the width, or w. We know that is 2.5 times smaller than its length, and that the length is 12. So lets make an equation to solve:
12/2.5=w
We did this because we know that the length is 2.5 times bigger than the width, so to find the width we need to go 2.5 times smaller than the length, and the length is 12.
Now solve:
4.8=w
So the width of the rectangle is 4.8 centimeters.
Answer:
width = 4.8 cm
Step-by-step explanation:
let width be w then length = 2.5w
Given length = 12 cm , then
2.5w = 12 ( divide both sides by 2.5 )
w = 4.8
That is width = 4.8 cm
Please help!!! geometry
Answer:
17
1234
4567
56783
56743
Nick and Charlie were each trying to solve 3x+9=4x−5. Describe the first step they each make to the equation.
Drag and drop the correct response to the space
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
The result of Nick's first step was −x + 9 = −5
1. What was Nick's first step?
The result of Charlie's first step was 9 = x - 5
2. What was Charlie's first step?
Nick's first step was to subtract 4x from both sides of the equation:
3x - 4x + 9 = 4x - 4x - 5
-x + 9 = - 5
Charlie's first step was to subtract 3x from both sides:
3x - 3x + 9 = 4x - 3x - 5
9 = x - 5
Nick's first step is to bring 4x left and Charlie's is to take 3x right-hand side.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
Given the equation,
3x+9=4x− 5
1. The result of Nick's first step was −x + 9 = −5
So,
3x - 4x + 9 = -5 ⇒ -x + 9 = -5
2. The result of Charlie's first step was 9 = x - 5
3x+9=4x−5
9 = 4x - 3x - 5 ⇒ 9 = x - 5
Hence "Nick's first step is to bring 4x left and Charlie's is to take 3x right-hand side".
For more about the equation,
brainly.com/question/10413253
#SPJ2
Given: 9yº Simplify the expression for y= 3. (show your work and explain your reasoning.)
the circle is a 0 btw
find the inverse of the function. f(q)=-9(q+6)^3
Answer:
[tex]f(q) = y = 9 {(q + 6)}^{3} \\ q = 9 {(y + 6)}^{3} \\ \frac{ \sqrt[3]{q} }{ \sqrt[3]{3} } = y + 6 \\ y = \frac{ \sqrt[3]{q} }{ \sqrt[3]{3} } \frac{ \sqrt[3]{3} }{ \sqrt[3]{3} } - 6 \\ y = \frac{ \sqrt[3]{q} \sqrt[3]{3}}{ {3} } - 6 = {f}^{ - 1} (q)[/tex]
Solve for g
9+3.5g=11-0.5g
A cube has edge length 11 inches. Just type the number of the answer.
What is the volume?
cubic inches
What is the surface area?
square inches
Answer:
1331³
..
...................
Solving Two Step Equations
3 (x +1/3 = 3) 3
Answer:
add 3 to 3 getting 6 put that over 1 then distribute. 6/1(x+1/3=3)
6x + 2 = 18
now subtract both sides by 2
6x = 16
and divide
x= 16/6
simply by diving by 2
x = 8/3
Janet can shovel snow from her driveway in 30 minutes. Tom can do the same job in 40 minutes. How long would it take
Janet and Tom to shovel the driveway if they worked together?
Answer: over 23 mins a little bit 23.157
Step-by-step explanation:
Smart
answer to this math qustion
(52−24)⋅12÷(30+2⋅3)
Answer:
9[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
(52−24)⋅12 ÷ (30+2⋅3) = 28⋅12 ÷ (30+6)
= 336 ÷ 36
= 9.333333333 = 9[tex]\frac{1}{3}[/tex]
Answer:
9 1/3
Step-by-step explanation:
(52−24)⋅12÷(30+2⋅3)
(28) * 12 / 36
28 * 1/3 = 9 1/3