Answer:
Step-by-step explanation:
To get how far up the tree that Mr. Jones tied the rope, we will use the Pythagoras theorem since a right angle is created with the rope and the base of the tree.
The length of the rope will be the hypotenuse
The distance up the tree and away from the base will be the opposite and adjacent.
Given
length of the rope = 8feet
Distance away from the base of the tree = 6ft
According to Pythagoras;
hyp² = opp²+adj²
8² = opp²+6²
opp² = 8²-6²
opp² = 64-36
opp² = 28
opp = 5.3 feet
Hence the Mr Jones tied the rope 5.3feet above the tree. Option C is correct
Find the equation of the linear function. Represented by the table below and slope intercept form.
i need help.
Answer:
the slope-intercept is minus 4
Step-by-step explanation:
y = mx + b
y = -4x+ -5
im pretty sure this is right bc im in highschool rn and i just did this last year so if i forgot than -_-
3 in.
Find the volume of the sphere. Round your answer to the nearest tenth. Use 3.14 for at.
The volume of the sphere is about
in?
Answer:
Step-by-step explanation:
Remark
That word about is a killer. It's a good thing they tell you they want the answer rounded to the nearest tenth, otherwise you'd be stuck.
Givens
pi = 3.14
r = 3
Formula
V = (4/3) pi r^3
V = (4/3) * 3.14 * 3^3
V = (4/3) * 3.14 * 27
V = (4/3) * 84.78
Answer: V = 113.0 in^3
Juan is walking a hill at 130 3/4 feet above sea level when he kicks a pebble. If the pebble falls to the base of the hill, which is 18.5 feet below sea level, what is the vertical distance that the pebble fell?
Please Help Me, This Is So Difficult.
A tourism agency can sell up to 1500 travel packages for the Sugar Bowl college football postseason game in New Orleans. The package includes airfare, weekend accommodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight airplane can carry up to 150 passengers, and the two-stop flight airplane can carry up to 100 passengers. The agency can locate no more than 12 planes for the travel packages. The tourism company makes a profit of $1100 for each non-stop flight airplane sold and $800 for each two-stop flight airplane sold. Assume that each plane will carry the maximum number of passengers.
Define the variables for this situation.
Write a system of linear inequalities to represent the constraints.
Graph the system of linear inequalities and shade the feasible region that shows the area of the graph representing valid combinations of nonstop and two-stop flight packages. Be sure to label your axes with correct increments.
Write an objective function that maximizes the revenue for the tourism agency.
Find the maximum revenue for the given constraints and give the combination of flights that achieves this maximum.
The maximum revenue would be _______________ and would be achieved using _____ nonstop flights and _____ two-stop flights.
The maximum revenue would be $9600 and would be achieved using 0 nonstop flights and 12 two-stop flights.
How to define the variablesLet x = number of non-stop airplanes
Let y = number of two-stop airplanes
The system of linear inequalitiesUsing the variables in (a), we have the following constraints
Total passenger constraint: 150x + 100y <= 1500
Total Airplanes constraint: x + y <= 12
Graph the feasible region.In (b), we have the following system of linear inequalities
150x + 100y <= 1200
x + y <= 12
See attachment for the graph
The objective functionThe objective function of the constraints is:
Max z = 1100x + 800y
The maximum revenueFrom the graph of the function, the optimal solution is:
(x,y) = (0,12)
So, the maximum revenue is:
z = 1100x + 800y
z = 1100*0 + 800*12
z = 9600
Hence, the maximum revenue is $9600
Read more about objective functions at:
https://brainly.com/question/16826001
Where does -1/5 go on the number line
Answer:
-0.2
Step-by-step explanation:
-1/5 = -0.2
Depending on your scale, it would go at -0.2
Each person in a group of students was identified by year and asked when he or she preferred taking classes: in the morning, afternoon, or evening. The results are shown in the table. Find the probability that the student preferred morning classes given he or she is a freshman. Round your answer to the nearest thousandth.
Freshman Sophomore Junior Senior
Morning: 19 2 6 16
Afternoon: 17 3 13 15
Evening: 8 14 9 7
A. 0.105
B. 0.182
C. 0.386
D. 0.432
Answer: 0.432
Step-by-step explanation: I just took the test!
The probability that the student preferred morning classes given he or she is a freshman is 0.432. Option D. is the right choice.
What do we mean by the Probability of an event?The probability of an event is the fractional value showing how likely an event is to occur. It is determined by the formula,
The probability of an event
= number of outcomes favorable to the event/total number of outcomes
How do we solve the given question?We are asked about the probability that the student preferred morning classes given he or she is a freshman.
Total number of freshmen = 44 (in table)
Number of freshmen students who preferred morning classes = 19 (in table)
∴ The probability that the student preferred morning classes given he or she is a freshman = number of freshmen students who preferred morning classes/total number of freshmen = 19/44 ≈ 0.432
∴ The probability that the student preferred morning classes given he or she is a freshman is 0.432. Option D. is the right choice.
Learn more about the probability of an event at
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A container of rain water is evaporating 1.2 centimeters a week. After 8 weeks what will be the change in rain water levels
Answer:
8.667
Step-by-step explanation:
After 8 weeks, the change in rainwater levels will be 9.6 centimeters.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A container of rainwater is evaporating 1.2 centimeters a week.
After 8 weeks, the change in rainwater levels will be given as,
⇒ 1.2 x 8
⇒ 9.6 centimeters
After 8 weeks, the change in rainwater levels will be 9.6 centimeters.
More about the Algebra link is given below.
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Can someone help me on this question? I’ll give brainliest if you answer soon!!!
Answer:
1 number angle represent an angle vertical to <UXR
what are the coordinates of the image of point B after the triangle is rotated 270 On the Origin
Answer:
(4,2) hopefuly right hope that helps u out
Step-by-step explanation:
Jordan types at a constant rate of 40 words per minute. The number of words typed, y, is a function of the number of minutes spent typing, x
Part A
Which equation models this situation?
(PLEASE HELP!)
Answer: A
Step-by-step explanation:
[tex]\mathrm{In \ 1 \min}. $\rightarrow40$ words \\$\Rightarrow$ Let number of words typed $=y$\\\& number of time spent typing $=x$\\$\Rightarrow$ (A) $40 x=y$\\\\ \mbox{$\therefore y=40 x$}[/tex]
5-7y= 131 i am trying to solve for "y"
Step-by-step explanation:
[tex]5 - 7y = 131 \\ - 7y = 131 - 5 \\ - 7y = 126 \\ \\ y = - \frac{126}{7} \\ \\ y = - 18[/tex]
Stephanie needs to buy birthday gifts for her family. She wants to stick to a budget of . $150.She buys a board game for her brother that costs,$49.50 a book for her sister that costs,$19.99 and a toy for her dog that costs.$15.00 She needs to buy a gift for her spouse, but she cannot decide between a watch that costs.$75.00 and a pair of shoes that costs. $59.99
Part A: How much has Stephanie spent on gifts so far?
Part B: How much does Stephanie have left to spend on gifts?
Part C: Which gift should Stephanie buy? Justify your answer.
Answer:
A. 84.50
B. She has 65.5$ left
C. Shoes
Step-by-step explanation:
A. If you add them it is 84.5
B. subtract 150 by 84.5 it is 65.5
C. Shoes because they are within the budget
A rectangular prism is 15 inches long, 8 inches wide, and 6 inches high. What is the volume of a pyramid that has the same height as the prism.
Answer:
[tex]240 in^3[/tex]
Step-by-step explanation:
I'm assuming the pyramid base has to fit the prism, else the answer would be "as big as you want.
Now if you compare the formulas for the volume of a pyramid and a prism, you notice that the only difference is a factor of 1/3 (it will take 3 pyramids to fill a prism).
Volume of the prism is the product of the sides, ie [tex]15\cdot8\cdot6 = 720 in^3[/tex]. Volume of the pyramid will be 1/3rd of that, or [tex]240 in^3[/tex]
A tree in Austin's backyard is 5.22 meters tall. If the tree grows 0.6 meters each month, for how many months has the tree been growing?
Answer:
6.525 or 6.53
Step-by-step explanation:
Which of the following is a step in multiplying 3/4 by 3/5? 2 А Adding 3 and 3 B. Finding the lowest common denominator of 4 and 5 C Multiplying 3 and 3 D Multiplying 3 and 5
=================================================
Explanation:
When you multiply fractions, you multiply the numerators together. So in this case we multiply 3 and 3 getting 9 as the updated numerator.
We also multiply the denominators together. The updated denominator is 4*5 = 20.
Overall, (3/4)*(3/5) = (3*3)/(4*5) = 9/20
The fraction 9/20 cannot be reduced because 9 and 20 do not have any common factors other than 1.
We don't have to worry about getting the LCD (lowest common denominator) since that is only applicable for adding and subtracting fractions.
Marta ha comprado 5 paquetes de 12 lápices cada uno y le han costado24 €. Cual es el precio de cada lapiz?
Respuesta:
5 paquetes x 12 lapices= 24€
60 lapices=24€
1 lapiz= 0.4€
¿Cuál es el precio de cada lápiz?
El precio de cada lápiz es 0.4€
Si quiere tener 100 lápices, ¿Cuánto le costará?
0.4 X 100=40€
Le costará 40€
if x = 5 and y = 3, then xy - 2x =
Answer:
5
Step-by-step explanation:
First, we will need to replace the x and ys with the values.
So the equation will be this:
(5) x (3) - 2(5)
Now, following PEMDAS, we will do the M in PEMDAS (aka multiplication left to right)
Now our simplified expression is this:
15 - 10
Now, following PEMDAS, we will do the S in PEMDAS (aka subtraction left to right)
Therefore, the answer is: 5
Determine whether the statement is true or false . 1-41 = -4*
True
False
Answer:
False
Step-by-step explanation:
Given the following question:
[tex]1-41[/tex]
To find the answer we simply just have to subtract 41 from 1.
[tex]1-41[/tex]
[tex]1-41=-40[/tex]
[tex]=-40[/tex]
Your answer is the second option or "false."
Hope this helps.
Explain how to solve the inequality x-6 is greater than 3
Answer:
x > 9
Step-by-step explanation:
x - 6 > 3
all you have to do is solve for x so
add 6 to both sides to make x alone
x > 9
help me, please I'm stuck as heck
Answer:
8 ^7 or 2097152
Step-by-step explanation:
PLEASE HELP! I WILL MAKE YOU BRAINLIST
Answer:
A. y = 5x
Step-by-step explanation:
In order to find the answer, all you have to do is see the unit rate, which is the number of balls per minute, and if you look at the chart, it shows that for every 1 minute that passes, 5 balls are thrown, therefore, the answer would be:
y = 5x
Hope this helps :)
Answer:
y=5xStep-by-step explanation:
y=5x
if you put the graph as a table :
x y
1 5
2 10
3 15
4 20
constant is y/x=5/1=10/2=15/3=20/4=5
Help!! Thank you so much beforehand
plz help im really bad at math
Answer: it is b i looked back at my notes and did the math
Step-by-step explanation
Is my answer correct or wrong?
Choose the correct equation and answer to solve for x shown below
Answer:
it would be 3^2+4^2=x^2 and x=5
Step-by-step explanation:
3^2+4^2=c^2
9+16=c^2
25=c^2
c=5
Simplify -7(2x - 3) + 8x.
Answer:
29 - 14x
Step-by-step explanation:
-7(2x - 3) + 8x
(-7 * 2x) + (-7 * -3) + 8
-14x + 21 + 8
-14x + 29
29 - 14x
Answer:
-22x+21
Step-by-step explanation:
can someone help me please?
Answer:
9,10
Step-by-step explanation:
86 square root is 9.2
9 is less than 9.2
10 is bigger than 9.2
Please help with this. Will give brainiest
Answer: Throughout the squares, you see mostly triangles.
Step-by-step explanation:
As you can see, theare are triangles within the squares on the above image. If you know that a^2+b^=c^2, you can apply this. Hope this helps.
I need help problems pls man
Answer:
o=80
Step-by-step explanation:
Helppppp pleaseeeee
Answer:
3.75
Step-by-step explanation:
5 tables every 2 months,then 30 days (30 days in 1 month) / 8 ordes = 3.75