Answers
→ Consider rounding to 22.43 mi.
_______________________________________________________
(Note: Do not forget the units, in "miles", which can be abbreviated as: "mi.").
____________________________________________________________________
Explanation:
_____________________________________________________________________
Let us assume that, at the beginning, Joan is leaving her own house to pick up Kash, first.
_____________________________________________________________________
Then, the answer to our problem is the sum of the length of all sides of the triangle given, remember that each "unit" on the graph represents miles.
_____________________________________________________________________
We can solve this using the Pythagorean theorem:
_____________________________________________________________________
a² + b² = c² ; in which: c = the distance from Joan's house to Kash's house;
b = the distance from Kash's house to Gary's house;
a = the distance from Gary's house to Joan's house;
_____________________________________________________________________
Our answer is the sum of: "a + b + c".
_____________________________________________________________________
Using the graph, we can the determine the values for: "a" and "b";
Using the Pythagorean theorem, we can determine the value for "c";
then we can add: "a + b + c" to determine our answer.
_____________________________________________________________________
From inspecting the graph:
_____________________________________________________________________
b = the distance from Kash's house to Gary's house = 8 mi. [miles] ;
a = the distance from Gary's house to Joan's house = 5 mi. [miles] ;
__________________________________________________________
Using the Pythagorean theorem, we want to solve for "c":
__________________________________________________________
a² + b² = c² ; We substitute our known values for "a" and for "b" :
_____________________________________________________
5² + 8² = c² ; Simplify:
_____________________________________________________
25 + 64 = c² ;
89 = c² ; Take the positive square root of both sides to solve for "c";
_______________________________________________________
√89 = √(c²) ; c = √89 = 9.4339811320566038
_______________________________________________________
Now, we can find our answer:
_______________________________________________________________
a + b + c = 5 + 8 + (9.4339811320566038) = 22.4339811320566038 mi.
→ Consider rounding to 22.43 mi. ;
which is our answer.
_________________________________________________________________
Related Questions
A baseball team plays in a stadium that holds 51,000 spectators. With ticket prices at $10, the average attendance had been 38,000. When ticket prices were lowered to $8, the average attendance rose to 42,000. Find the demand function (price p as a function of attendance x), assuming it to be linear?? ...?
Answers
Answer:
[tex]p(x)=-0.0005x+29[/tex]
Step-by-step explanation:
It is given that a baseball team plays in a stadium that holds 51,000 spectators.
Let x be the attendance and p be the price.
With ticket prices at $10, the average attendance had been 38,000. When ticket prices were lowered to $8, the average attendance rose to 42,000.
Assuming that the demand function is linear. It means, the demand line passes through the points (38000,10) and (42000,8).
The equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-10=\dfrac{8-10}{42000-38000}(x-38000)[/tex]
[tex]y-10=\dfrac{-2}{4000}(x-38000)[/tex]
[tex]y-10=-0.0005(x-38000)[/tex]
[tex]y-10=-0.0005x-0.0005(-38000)[/tex]
[tex]y-10=-0.0005x+19[/tex]
[tex]y=-0.0005x+19+10[/tex]
[tex]y=-0.0005x+29[/tex]
Substitute y=p(x).
[tex]p(x)=-0.0005x+29[/tex]
Therefore, the demand function is [tex]p(x)=-0.0005x+29[/tex].
How many solutions to this equation?
145 = 10x - 8x
A. 2
B. 1
C. infinitely many
Answers
in 2000 the average cost for a gallon of gasoline was 1.40 in 2007 the average cost for a gallon of gasoline is 2.60 what is the percent of increase rounded to the nearest whole number
Answers
Then, take 1.2 and divide it by 1.40 and then multiply by 100
hope you got it :))
So basically the answer would be 86%
The students at Monroe Junior High sponsored a canned food drive. The seventh-grade class collected 129% of its canned food drive goal.
a. ABOUT how many canned foods did the seventh-graders collect if their goal was 200 cans? _____________________
b. ABOUT how many canned foods did the seventh-graders collect if their goal was 595 cans? _________________________
Answers
260 cans
b. ABOUT how many foods did the seventh-graders collect if their goal was 595 cans?
770 cans
B)768 (rounded up)
The cost, c(x), for a taxi ride is given by c(x) = 2x + 4.00, where x is the number of minutes. What does the slope mean for this situation?
A. The taxi ride costs a total of $4.00.
B. The taxi ride costs $2.00 per trip.
C. The rate of change of the cost of the taxi ride is $2.00 per minute.
D. The rate of change of the cost of the taxi ride is $4.00 per minute.
Answers
Answer:
Answer is option c
Step-by-step explanation:
Given that the cost, c(x), for a taxi ride is given by c(x) = 2x + 4.00, where x is the number of minutes.
We find that whenever 1 minute increases cost increases by 2 dollars.
Hence rate of change of cost with respect to minute of taxi ride = 2 dollas
i.e. this is of the form y=mx+b where
m =2 is the slope or rate of change and
b = 4 is the fixed charge even for 0 minute.
Thus option C is right
Determine algebraically all points where the graphs of xy=10 and y=x+3 intersect
Answers
y1=10/x. y2=x+3
10/x=x+3
x=2 clearly => (2,5)
therefore x=-5=>(-5,-2)
You can use substitution and plug in the y value given as x+3 into xy=10.
x(x+3)=10
or
x^2+3x=10
or
x^2+3x-10=0
Then you divide the -10 into two different factors, I did 2 and -5.
x^2 is equal to xx, so now you have one x for each factor of the -10:
(x+2)(x-5)=0
This means x is either 2 or -5, and when you plug in these values to the equation y=x+3, you get:
(2,5)
and
(-5,-2)
Which are your two intersecting points!
Which terms could have a greatest common factor of 5m2n2? Check all that apply.
m5n5
5m4n3
10m4n
15m2n2
24m3n4
Answers
Answer : [tex] 5m^4n^3[/tex] and [tex] 15m^2n^2[/tex]
Greatest common factor of [tex] 5m^2n^2 [/tex]
If we are able to factor out [tex] 5m^2n^2 [/tex] from each option then that would be our answer.
Lets check with each options
(a)[tex] m^5n^5 [/tex], we cannot take out 5.
(b)[tex] 5m^4n^3 [/tex], We can take out common factor and it can be written as [tex] 5m^4n^3=5m^2n^2(m^2n) [/tex]
(c) [tex] 10m^4n [/tex], we cannot take out n^2 because we have only 'n'
(d) [tex] 15m^2n^2[/tex], We can take out common factor and it can be written as [tex] 15m^2n^2=5m^2n^2(3) [/tex]
(e) [tex] 24m^3n^4 [/tex], we cannot take out 5 because we have 24
So answer is (b) and (d)
13x - 7 = 136
11
15
8
9
Answers
x = 11
The soccer team voted on what they wanted to eat. There are 20 members on the team. Six members voted for pizza, 10 voted for chicken, and the rest voted for hot dogs.
Which ratio represents the number of votes for hot dogs to chicken?
Answers
Ratio = hotDogs/Chicken = 4/10 = 2/5
voted for pizzas:chicken:hot dogs
10:4=5:2
chicken:hot dogs
What is 7 40/81 rounded to the nearest whole number
Answers
Therefore, you look at the digit after the decimal point that is 1 so it will be 9 since it's less than 5
So the answer is 9
Answer:
9
Step-by-step explanation:
Solve. How can I solve this division 12 divided by 144140
Answers
Hope this helps!
According to given question, 12 divided by 144140 is approximately 0.000083158.
To divide 12 by 144140, simply perform the division:
12 ÷ 144140 ≈ 0.000083158
So, 12 divided by 144140 is approximately 0.000083158.
Division is a mathematical operation used to distribute a quantity or a number of items into equal parts. It involves finding out how many times one number (called the divisor) can be subtracted or taken away from another number (called the dividend) until there is nothing left or the subtraction cannot be done anymore.
The result of the division is called the quotient, and it represents the number of equal parts or groups that the dividend can be divided into by the divisor. In the division expression "a ÷ b," where "a" is the dividend and "b" is the divisor, the quotient is represented by "a/b."
For example, in the division 12 ÷ 3:
12 is the dividend (the total quantity to be divided).
3 is the divisor (the number of equal parts to divide the dividend).
The quotient is 4, as 12 can be divided into 4 equal parts of size 3.
Division is the opposite operation of multiplication. If you have two numbers, the product of their multiplication can be divided by one of the numbers to get the other number. For example, 12 × 3 = 36, and 36 ÷ 3 = 12.
To know more about division here
https://brainly.com/question/28119824
#SPJ2
what is an asymptote? ...?
Answers
A line that the graph of a function approaches but never touches.
Which of the following describes the non-rigid transformation in the function shown below?
y-1=-(3x+1)^2
A. The graph is shifted 3 units down.
B. The graph is stretched vertically by a factor of 3.
C. The graph is reflected across the x-axis.
D. The graph is stretched horizontally to 1/3 the original width.
Answers
For your best understanding I will brief all the transformations that you can infere from the expression.
Take as basis the graph y = x^2
When you multiply by a negative one you make a rigid translation (reflection across the x-axys)
When you add a positive constant to the total function (which is the same that substract it from the left side) you make a rigid translation, which is shifting a number of units equal to the value of the constant up.
When you add a positive constant to the argument of the function (this is the x before squaring it), you make a rigid traslation, which is shifting the graph a number of units equal to the value of the constant left.
When you multiply this function inside the argument, the graph is stretched vertically by a factor of the number square. In this case 3^2 = 9, but it squezes the function horizontally by a factor of 1/3.
Then, my option is the fourth of the list, because the function is shrinked horizontally by a factor of 1/3 (the term strecth is being used in a wide conception: if the factor is greater than 1 it is indeed a strecht but if the factor is less than 1 the stretch is a shrinkag).
Answer:
the graph is stretched horizontally to 1/3 the original width
Step-by-step explanation:
the graph is also reflected and translated but those are rigid transformations and this is asking about the non rig transformations
which phrase best defines a rhombus? a.a parallelogram with four congruent anglesb.a parallelogram with four congruent sidesc.a quadrilateral with exactly one pair of parallel sides d.a quadrilateral with no congruent sides
Answers
What is the simplified form of each expression?
A. 729x33
B. 3x33
C. 729x29
D. 3x29
Answers
99
21141
87
These are the correct answers.
The simplified form of each expression is as follows:
[tex]A. \( 729 \times 33 \) simplifies to \( 3^6 \times 33 \) B. \( 3 \times 33 \) simplifies to \( 3 \times 3 \times 11 \) or \( 3^2 \times 11 \). C. \( 729 \times 29 \) simplifies to \( 3^6 \times 29 \). D. \( 3 \times 29 \) simplifies to \( 3 \times 29 \).[/tex]
To simplify these expressions, we recognize that 729 is a power of 3, specifically [tex]\( 3^6 \)[/tex], and that 33 and 29 are prime numbers. Therefore, we can express each product in terms of its prime factors.
A. For the expression [tex]\( 729 \times 33 \)[/tex] , we know that 729 is [tex]\( 3^6 \)[/tex] and 33 is a prime number. Thus, the simplified form is [tex]\( 3^6 \times 33 \)[/tex].
[tex]B. For the expression \( 3 \times 33 \), we can further break down 33 into \( 3 \times 11 \), since 33 is the product of these two prime numbers. Therefore, the simplified form is \( 3^2 \times 11 \) or \( 3 \times 3 \times 11 \).[/tex]
[tex]C. For the expression \( 729 \times 29 \), similar to expression A, 729 is \( 3^6 \) and 29 is a prime number. Hence, the simplified form is \( 3^6 \times 29 \).[/tex]
[tex]D. For the expression \( 3 \times 29 \), both 3 and 29 are prime numbers, so the expression is already in its simplest form and cannot be simplified further. Thus, the simplified form remains \( 3 \times 29 \).[/tex]In summary, the simplified forms are:
[tex]A. \( 3^6 \times 33 \) B. \( 3^2 \times 11 \) or \( 3 \times 3 \times 11 \) C. \( 3^6 \times 29 \) D. \( 3 \times 29 \)[/tex]
S = p/(q + p(1 − q)) solve for q
Answers
q +p -pq = p/s
q -pq = p/s - p
q(1-p) = p/s - p
q = (p/s - p) / (1-p)
Area of a kite
Solve for d2: A=1/2d1d2
Answers
Answer:
The value of the equation for [tex]d_2[/tex] is [tex]d_2=\frac{2A}{d_1}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]A=\frac{1}{2}d_1d_2[/tex]
We need to solve the equation for [tex]d_2[/tex].
Multiply both the sides by 2.
[tex]2A=2\times \frac{1}{2}d_1d_2[/tex]
[tex]2A=d_1d_2[/tex]
Divide both sides by [tex]d_1[/tex].
[tex]\frac{2A}{d_1}=\frac{d_1d_2}{d_1}[/tex]
[tex]d_2=\frac{2A}{d_1}[/tex]
Hence, the value of the equation for [tex]d_2[/tex]is [tex]d_2=\frac{2A}{d_1}[/tex].
How many solutions are there to this equation?
5(x + 10)- 25= 5x + 25
a. 1
b. 0
c. infinitely many
Answers
what is 1/4% in dollars of 3 million dollars
Answers
A cable installer charges $30.00 per hour plus a $50.00 service charge. Your father's firm hires him to hook up his company's Internet service.
Find the total charges if it takes the cable installer 8.5 hours to complete the task. ...?
Answers
Final answer:
To calculate the total charges for the cable installation, multiply the hourly rate of $30.00 by the 8.5 hours spent ($255.00) and add the $50.00 service charge, resulting in total charges of $305.00.
Explanation:
The task requires us to calculate the total charges based on the cable installer's hourly rate and a service charge. The installer charges $30.00 per hour and there's an additional $50.00 service charge. To find the total cost for 8.5 hours of work, we multiply the hourly rate by the number of hours and then add the service charge.
Calculation: Total charges = (Hourly rate × Number of hours) + Service charge = ($30.00 × 8.5 hours) + $50.00
Step 1: Calculate the hourly charge
Hourly charge = $30.00 × 8.5 = $255.00
Step 2: Add the service charge
Total charges = $255.00 + $50.00 = $305.00
The total charges for the cable installation service will be $305.00.
Solve the system of equations.
x + 3y = −1
2x + 2y = 6 (1 point)
(−4, 1)
(2, −1)
(4, −1)
(5, −2)
Answers
the solution to the system of equation is (5, -T
System of equationx + 3y = −1 2x + 2y = 6From equation 1;
x = -1 - 3y
Substitute x = -1-3y into equation 2
x + y = 3
-1-3y + y = 3
-1 -2y = 3
-2y = 4
y = -2
Since x + y = 3
x = 3 + 2
x = 5
Hence the solution to the system of equation is (5, -2)
The line y = –2x – 8 is graphed. Which ordered pairs are solutions to the equation? Check all that apply.
A) (–8, 8)
B) (–6, 2)
C) (–2, 4)
D) (0, –4)
E) (2, –12)
Answers
you have: y=-2x-8
Simply plug in the coordinates-->>
A.) (-8,8)
8= -2(-8)-8
8=16-8
8=8 (Yes/True)
B.) (-6,2)
2=-2(-6)-8
2=12-8
2=4 (No)
C.) (-2,4)
4=-2(-2)-8
4=4-8
4=-4 (No)
D.) (0,-4)
-4=-2(0)-8
-4=0-8
-4=-8 (No)
E.) (2,-12)
-12=-2(2)-8
-12=-4-8
-12=-12 (Yes/True)
Thus, your answer.
6) If sec theta+tan theta = P. PT sin theta=P^2-1/P^2+1 ...?
Answers
Then the problem is, given sec(x) + tan(x) = P, show that
sin(x) = [P^2 - 1] / [P^2 + 1]
I am going to take a non regular path.
First, develop a little the left side of the first equation:
sec(x) + tan(x) = 1 / cos(x) + sin(x) / cos(x) = [1 + sin(x)] / cos(x)
and that is equal to P.
Second, develop the rigth side of the second equation:
[p^2 - 1] / [p^2 + 1] =
= [ { [1 + sin(x)] / cos(x) }^2 - 1] / [ { [1 + sin(x)] / cos(x)}^2 +1 ] =
= { [1 + sin(x)]^2 - [cos(x)]^2 } / { [1 + sin(x)]^2 + [cos(x)]^2 } =
= {1 + 2sin(x) + [sin(x)^2] - [cos(x)^2] } / {1 + 2sin(x) + [sin(x)^2] + [cos(x)^2] }
= {2sin(x) + [sin(x)]^2 + [sin(x)]^2 } / { 1 + 2 sin(x) + 1} =
= {2sin(x) + 2 [sin(x)]^2 } / {2 + 2sin(x)} = {2sin(x) ( 1 + sin(x)} / {2(1+sin(x)} =
= sin(x)
Then, working with the first equation, we have proved that [p^2 - 1] / [p^2 + 1] = sin(x), the second equation.
What is the surface area of a sphere with a radius of 11 units? Leave it in pi
Answers
The area of a sphere with radius r is:
A = 4πr²
We have:
A = ?
r = 11 units
So:
A = 4π * 11²
A = 4π * 121
a = 484 π units²
Answer:
[tex]\text{Area of sphere is }484\pi units^2[/tex]
Step-by-step explanation:
Given the radius of sphere 11 units
we have to find the surface area of sphere
Radius=11 units
As area of sphere can be calculated as
[tex]\text{Area}=4\pi r^2[/tex]
[tex]=4\pi (11)^2=484\pi units^2[/tex]
[tex]\text{Area of sphere is }484\pi units^2[/tex]
∠1 is decomposed into two nonoverlapping angles, ∠2 and ∠3. let m∠1 = 130° and m∠3 = 75°. what type of angle is ∠2?
a. acute
b. obtuse
c. right
d. straight
Answers
Given the triangle shown here, the first steps in the proof of the law of sines are:
A. Set sinA = b/k and sinB = k/a and solve for k in both equations.
B. Set sinA = k/b and sinB = a/k and solve for k in both equations.
C. Set sinA = -k/b and sinB = -k/a and solve for k in both equations.
D. Set sinA = k/b and sinB = k/a and solve for k in both equation.
Answers
Marietta is selling cheeses for the holiday fund raiser. Monday she sole 7/9 of the boxes of cheeses. Tuesday she restocked her supply and sold 0.85 of the boxes of cheeses. Which day did she sell more boxes? Explain and show.
Answers
We know 7/9 is about 0.777777777778
And 0.78 < 0.85
So the second day she sold more.
A commuter must pass through five traffic lights on her way to work, and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below.
X= # of red P(x)
0 0.05
1 0.25
2 0.35
3 0.15
4 0.15
5 0.05
a. How many red lights should she expect to hit each day?
b. What's the standard deviation?
c. Find the mean and standard deviation of the number of red lights the commuter should expect to hit on her way during a 5 day work week.
Answers
Answer:
a) 2 red lights
b) SD = 1.26
c) mean = 10, SD = 1.26
Step-by-step explanation:
a) The number of red lights she expects to hit by day can be gotten by calculating the mean of the distribution.
[tex]E(X) = \sum xP(x)[/tex]
[tex]E(X) = (0*0.05) + (1*0.25) + (2*0.35) + (3*0.15) + (4*0.15) + (5*0.15)\\E(X) = 2.25[/tex]
Since the number of lights cannot be a decimal, she expects to hit 2 lights each day
b)
Variance, [tex]V(X) = \sum(x- \mu)^{2} P(x)[/tex]
[tex]V(X) = [(0-2.25)^{2}*0.05] + [(1-2.25)^{2}*0.25] + [(2-2.25)^{2}*0.35] + [(3-2.25)^{2}*0.15] + [(4-2.25)^{2}*0.15] + [(5-2.25)^{2}*0.05][/tex]
V(X) = 0.253 + 0.391 + 0.022 + 0.084 + 0.459 + 0.378
V(X) = 1.587
Standard Deviation, [tex]SD = \sqrt{V(X)}[/tex]
[tex]SD = \sqrt{1.587}[/tex]
SD = 1.26
c) In a 5 day work week, the commuter is expected to hit an average of 5* 2 red lights, i.e. mean = number of red lights hit per day * number of days
mean = 2 * 5
mean = 10
The standard deviation will not change, SD = 1.26
You have $270 in your bank account. You plan to save $80 from your paycheck each week. Which graph shows your bank account balance at the end of each week?
Answers
If you want to know how to do it just let me know
Answer: The below graph shows the given situation.
Step-by-step explanation:
Let x represents the number of week, and y represents the total balance in the account after x weeks.
Since, initially the amount in the account = $ 270
According to the question,
Every week $80 is saved.
Thus, the total saving in x weeks = 80 × x = 80x
Since the total amount in x weeks = Initial amount + total saving.
⇒ y = 80x + 270
Which is the equation of line that shows the given situation.
x-intercept of the line is (-27/8,0)
y-intercept = (0,270)
If x=1 y = 350
If x=2 y= 430
If x=3 y =510
Thus, the points of the line are (1,350), (2,430), (3,510)
Hence we can draw the graph with help of above information.
What is difference between a tilt level and a dumpy level?
Answers
A tilt level and a dumpy level are both surveying instruments used for measuring horizontal distances and vertical elevations. The main difference is that the tilt level has a built-in compensator that eliminates the need for manual leveling, while the dumpy level requires manual leveling before each use.
Explanation:A tilt level and a dumpy level are both surveying instruments used for measuring horizontal distances and vertical elevations. However, there are some key differences between the two.
Tilt Level: A tilt level, also known as a tilting level, is a type of level that utilizes a compensator mechanism to maintain a level plane even when the instrument itself is not level. This compensator allows for accurate measurements and eliminates the need for manually leveling the instrument each time.
Dumpy Level: A dumpy level, on the other hand, is a more traditional type of level that requires manual leveling before each use. It consists of a telescope mounted on a tripod, and the instrument is adjusted using leveling screws to ensure that it is perfectly horizontal. The dumpy level does not have a compensator like the tilt level, so the instrument needs to be leveled manually to obtain accurate measurements.
In summary, the main difference between a tilt level and a dumpy level is that the tilt level has a built-in compensator that eliminates the need for manual leveling, while the dumpy level requires manual leveling before each use.