\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\)
\(\stackrel{\begin{array}{llll} \textit{"y" varies}\\ inversely\\ as~ x^2 \end{array}}{y=\cfrac{k}{x^2}}\qquad \textit{we also know that} \begin{cases} y=8\\ x=4 \end{cases}\implies 8=\cfrac{k}{(4)^2}\)
\(8=\cfrac{k}{16}\implies 128=k~\hfill \boxed{y=\cfrac{128}{x^2}} \\\\\\ when~y=\frac{25}{36}\textit{ what is "x"?}\qquad \cfrac{25}{36}=\cfrac{128}{x^2}\implies 25x^2=4608 \\\\\\ x^2=\cfrac{4608}{25}\implies x = \sqrt{\cfrac{4608}{25}}\implies x=\cfrac{\sqrt{4608}}{\sqrt{25}}\implies x=\cfrac{48\sqrt{2}}{5}\)
Give me 3 reasons why the penguins are the best animal will give brain-list
Answer:
Step-by-step explanation:
#1 - they look cool
#2 - they can swim
#3 - they eat fish
Is this function periodic or non-periodic?
we can conclude that yes, the function is periodic with period T = π/2
Is this function periodic or non-periodic?A function is periodic if for any input X, there exists a value T (where T is the period) such that:
f(x) = f(x + T).
In this particular case, we are told that the period should be π/2, so let's check that.
We can see that:
f(π/4) = 1.2
If we add the period to the argument, we get:
π/4 + π/2 = π/4 + 2π/4 = 3π/4
Now, on the table we can see that:
f(π/4 +π/2 ) = f(3π/4) = 1.2
So at the moment, it seems to be periodic.
Let's try another point.
f(3π/2) = 0.6
If we add the period:
3π/2 + π/2 = 2π
And in the table we can see that:
f( 2π) = 0.6
So we can conclude that yes, the function is periodic with period T = π/2
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pre-calc questions (trignometry)
Answer: (1a) 250° (1b) 70° (2) see below
Step-by-step explanation:
1a) -110 + 360 (one rotation clockwise) = 250°
1b) 430 - 360 (one rotation counterclockwise) = 70°
2) sec Ф = -8/5 in Quadrant III
Quadrant III identifies that both sin (y) and cos (x) are negative.
sec = r/x --> r = 8, x = -5, and y = -√39
(Use Pythagorean Theorem x² + y² = r² to solve for y)
\(\sin\theta=\dfrac{y}{r}=\dfrac{-\sqrt{39}}{8}\) \(\csc\theta=\dfrac{r}{y}=\dfrac{-8}{\sqrt{39}}\) rationalized = \(\dfrac{-8\sqrt{39}}{39}\)
\(\cos\theta=\dfrac{x}{r}=\dfrac{-5}{8}\) \(\sec\theta=\dfrac{r}{x}=\dfrac{-8}{5}\) (GIVEN)
\(\tan\theta=\dfrac{y}{x}=\dfrac{\sqrt{39}}{5}\) \(\cot\theta=\dfrac{x}{y}=\dfrac{-5}{-\sqrt{39}}\) rationalized = \(=\dfrac{5\sqrt{39}}{39}\)
NOTE THAT YOU ARE ALLOWED A MAXIMUM OF 3 QUESTIONS PER POST. Please repost #3 and #4 as a different question and I will answer them.
.When developing groups, there will almost always be disagreements and conflicts as members work to develop a common understanding. This stage of group development is called○ forming.○ norming.○ performing.○ storming.○ adjourning.
The stage of group development that is characterized by disagreements and conflicts is called storming. During this stage, group members may have different ideas and opinions about how to approach tasks and goals, and they may struggle to find a common understanding.
Conflict can arise as individuals compete for leadership roles or try to assert their ideas over others. However, this stage is important for groups to progress towards their goals as it allows for open communication and the airing of different perspectives. Eventually, through negotiation and compromise, groups move on to the norming stage where a common understanding is established and roles are defined. From there, groups move on to performing, where they are able to work together effectively towards their goals.
Finally, the adjourning stage is where the group disbands after reaching their goals or completing their tasks.
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help asap!!
9-3 / 1/3 +6
Answer:
24
Step-by-step explanation:
9-3=6 and 6 divided by 1/3 is 18. then u add 18 plus 6 and that'll give u 24.
8
9
10
Or 11???how can I do this
Answer:
your answer is A - 9
Step-by-step explanation:
This is your answer, let me explain why
If he borrowed 105 and he is paying back 12 per week, then to figure out how many weeks he will need to give 12 dollars until he has paid his brother back the 105 he borrowed from him, so we will first have to divide 105 by 12,
105 ÷ 12 = 8.75
but when this is done you will get 8.75, which is not an option below so we have to round to the nearest hundred, thus giving us the answer, 9.
Hope this Helped!
Math hw 2
Probability Distributions
pls help me with my homework!!
thanks,
In the given question, to approach this, we should have a little understanding of what is a random variable. The random variable here is the distance travelled by the tee shots in a golf.
What is a Random Variable?A random variable is a numerical description of the outcome of a statistical experiment. A random variable that may assume only a finite number or an infinite sequence of values is said to be discrete; one that may assume any value in some interval on the real number line is said to be continuous.
We are given two scenarios in which we are to identify the random variable here.
The number of hits for the players of a baseball teamThe distance travelled by the tee shots in a golfIn the above scenarios, the random variable here is the distance travelled by the tee shots in a golf. The reason is that we can never give an exact value the distance and would lead to an assumption of a finite number of value or an infinite sequence of values to determine this.
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Determine if the following lengths could represent a triangle. If they can, determine if the triangle, is acute, obtuse, or right.
A. 5, 8, 13
B. 7, 12, 26
C. 11, 15, 20
9514 1404 393
Answer:
A. no
B. no
C. obtuse
Step-by-step explanation:
For side lengths to form a triangle, the sum of the shorter two must exceed the longest.
A. 5 + 8 = 13 . . . . a line segment, not a triangle
B. 7 + 12 < 26 . . . . no closure, not a triangle
C. 11 + 15 > 20 . . . . a triangle. A picture shows it to be obtuse
You can also compare 11² +15² vs 20² ⇒ 346 vs 400. The long side is too long for a right triangle, so the triangle must be obtuse. (The Pythagorean theorem tells you a right triangle with those legs would have a long side of √346 = 18.6.)
Find the values of X and Y
In a triangle, The value of x is, 40°
And, The value of y is, 50°
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The triangle is show in figure.
We know that;
In a triangle, the pair of two opposite sides are equal then there corresponding angles are also equal.
Now, By figure we can formulate;
⇒ x + x + 100 = 180
Solve for x;
⇒ 2x + 100 = 180
⇒ 2x = 180 - 100
⇒ 2x = 80
⇒ x = 40
Thus, The value of x = 40°
And, We get;
⇒ x° + y° + 90° = 180°
⇒ 40 + y + 90 = 180
⇒ y + 130 = 180
⇒ y = 180 - 130
⇒ y = 50°
Thus, The value of y = 50°
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You sell tacos that cost $2 to produce. You sell them for $4. Your markup on cost, expressed as a percentage, is:
A. 100%
B. $2
C. 50%
D. $4
E. None of these
The markup percentage for your tacos is 100%. (option a)
To calculate the markup percentage, we need to compare the profit you make on each taco to the cost of producing that taco. In this case, the cost to produce one taco is $2, and you sell it for $4. The markup can be calculated using the following formula:
Markup Percentage = ((Selling Price - Cost Price) / Cost Price) * 100
Let's plug in the numbers and calculate the markup percentage:
Markup Percentage = (($4 - $2) / $2) * 100
Markup Percentage = ($2 / $2) * 100
Markup Percentage = 1 * 100
Markup Percentage = 100%
Hence the correct option is (a).
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NEED HELP FAST PLEASE
13 pigs are entered in the best pig competition at the country fair the judges will award very special pigs with blue, red and white ribbons in how many different ways can these ribbons be awarded to 3 of 13 pigs a.1716 b.39 c.286 d.2197
Answer:
1716
Step-by-step explanation:
These ribbons be awarded to 3 of 13 pigs in 1716
We have given that,
13 pigs are entered in the best pig competition at the country fair the judges will award very special pigs with blue, red, and white ribbons
We have to determine how many different ways can these ribbons be awarded to 3 of 13 pigs.
What is the permutation?A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.
So the judges are going to pick 3 pigs from the 13 to give a ribbon. Since the ribbons are different, the order does matter.
So this is a permutation. This can be set up like this:
Therefore we get,
13*12*11=1716
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What’s m= 10- -2-11 -19
Answer:
-18
Step-by-step explanation:
10-(-2)=12
12-11=1
1-19=-18
3. Which of the following has a value of 13? (5.02.2)
A. 5 + 4 x 3 - 1
B. (5 + 4) x 3 - 1
C. 5 + 4 (3 - 1)
D. (5 + 4) X (3 - 1)
a rectangle has a perimeter of 16 centimeters. what is the greatest area the rectangle can have
Step-by-step explanation:
Let L and W be the length and width of the rectangle, respectively.
We know that the perimeter, P, of a rectangle is given by:
P = 2L + 2W
In this case, P = 16 cm, so we have:
16 = 2L + 2W
Simplifying, we get:
8 = L + W
To find the greatest area of the rectangle, we need to maximize the product of L and W, which is the formula for the area, A:
A = L * W
We can solve for one variable in terms of the other using the equation we found earlier:
L = 8 - W
Substituting this into the formula for the area, we get:
A = (8 - W) * W
Expanding and simplifying, we get:
A = 8W - W^2
To find the maximum value of A, we can use calculus or complete the square. Completing the square, we get:
A = -(W - 4)^2 + 16
Since the square of a real number is always nonnegative, the maximum value of A occurs when (W - 4)^2 = 0, which is when W = 4.
Substituting this value back into the equation for the perimeter, we get:
8 = L + 4
L = 4
Therefore, the rectangle with a perimeter of 16 cm and the greatest area is a square with sides of length 4 cm, and its area is:
A = L * W = 4 * 4 = 16 square centimeters.
HELP MY GRADE 9 PLS AND THANK YOU
Answer:
64x²y²
Step-by-step explanation:
Use the great smart calculator
hope it helpz uuuuuuu
Collect data from all your family members and write down their heights (in cm).
96, 132, 159, 164, 176
Represent the data in a frequency table.
Find the following. i. Mode 11. Mean iii. Median iv. Range
please help me
Answer:
mode : the value that appears most frequently in a data set
mean : te everage of all number
median : the middle number in a sorted, ascending or descending
range : the difference between the largest and smallest numbers.
ANSWER ;
mode : none
mean : 145.4 ( you need to add all the number and divide by how many your family member)
median : 159
range : 80 ( the largest - the smallest)
Each minute, a faucet allows 4/7 gallons of water to enter a large tub, and the drain allows 5/7 gallons to leave the tub.
What is the change in the amount of liquid in the tub after 1/4 minute?
Enter your answer as a fraction in lowest terms in the box.
gal.
Answer: -1/28 gallon
Step-by-step explanation:
divide both numbers by 4 since its 1/4 a minute (-5/7 ÷ 4 and 4/7 ÷ 4) then add them, (-5/28 + 4/28= -1/28)
Answer: -1/28 gallon
Step-by-step explanation:
Which statement indicates a positive association?
A. One variable increases as the other decreases.
B. The variables both increase together.
C. The variables randomly change.
D. As one variable increases, the other variable stays the same.
The statement that indicates a positive association is: B. The variables both increase together.
Which indicates a positive association?A positive association between two variables means that as one variable increases, the other variable also tends to increase.
Therefore, the statement that indicates a positive association is:
B. The variables both increase together.
This means that when one variable increases, the other variable tends to increase as well. This suggests a positive relationship or correlation between the two variables.
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jerome is buying an art kit that usually costs $32.00. however, it on sale for $27.20. what percentage is the discount
85%
15%
17%
27%
13%
Answer:
A. 85%
Step-by-step explanation:
27.20/32=0.85
32*0.85=27.2
Hope this helps!
A perfect square is the product of any positive whole number used as a factor exactly two times. [Example: 49 is a perfect square because 7 × 7 = 49] The positive whole number N, when multiplied by 150, is a perfect square. What is the least possible positive whole number value for the number N?
tank contains 80 kg of salt and 2000 l of water. a solution of a concentration 0.02 kg of salt per liter enters a tank at the rate 6 l/min. the solution is mixed and drains from the tank at the same rate. (a) what is the concentration of our solution in the tank initially? concentration
the initial concentration of the solution in the tank is 0.04 kg/L.
Tank contains 80 kg of salt and 2000 L of water. A solution of a concentration 0.02 kg of salt per liter enters a tank at the rate 6 L/min. The solution is mixed and drains from the tank at the same rate.
What is the concentration of our solution in the tank initially?
Initially, the tank contains 80 kg of salt and 2000 L of water. To determine the initial concentration of the solution in the tank, we need to use the following formula:
concentration = mass of solute / volume of solution
In this case, the mass of solute (salt) is 80 kg and the volume of solution is 2000 L. Therefore, the initial concentration of the solution in the tank is:concentration = 80 kg / 2000 L = 0.04 kg/L
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427 is what percent of 305
Answer:
140.00%
Step-by-step explanation:
Step 1: Percentage Formula = Number1/Number2 x 100
Step 2: plugin the 427 and 305 to the percentage formula and we get 427/305 x 100 = 140%
What is
427
out of
305
as a percentage? = 140.00%
Hope this helped a lot
Plz give brainliest
Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 25 cm2
The rate of increase in the area of the square is 70 cm²/s when the area of the square is 25 cm².
Each side of a square is increasing at a rate of 7 cm/s. The area of the square is 25 cm².
The area of the square is given by A = a²
Where A is the area of the square and a is the length of the side of the square.
Differentiate both sides of the equation with respect to time we get:
dA/dt = 2a.da/dt
Substitute a = √A in the above equation to get:
dA/dt = 2√A.da/dt
Substitute A = 25 and da/dt = 7 in the equation dA/dt = 2√A.da/dt to get:
dA/dt = 2 x √25 x 7
dA/dt = 2 x 5 x 7
dA/dt = 70 cm²/s
Therefore, the rate of increase in the area of the square is 70 cm²/s.
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please answer this i have a test after tmrw
Answer:
letter A
Step-by-step explanation:
that is my answer.
I hope it help.
How does the graph of g(x) = (x + 4)3 − 5 compare to the parent function f(x) = x3
Transforming the function using f(x - h) shifts its graph h units to the right. Here, we have h = -4, so the graph exists shifted 4 units to the left.
What are transforming functions?
The transformations of functions describe how to graph a function that exists moving and how its shape exists being changed. There exist basically three kinds of function transformations: translation, dilation, and reflection.
Let f(x) = x³ be the original function.
When -5 exists added to the y-value, it moves the point on the graph down 5 units. Compared to f(x), g(x) exists 5 units down.
f(x) = (x + 4)³ - 5
= [x- (- 4) ]³ - 5 (shift 4 units in the negative x direction that exists 4 units left)
Transforming the function using f(x - h) shifts its graph h units to the right. Here, we have h = -4, so the graph exists shifted 4 units to the left.
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Which equation represents a line that passes through the two points in the
table?
х
у
3
3
6
5
O A. y-3 = (x-3)
O B. y+3 = {(x+3)
OC. y-3--3
)
O D.y+3=E(x+3)
Line equation represents a line that passes through the two points is
x-3=0
Given two points are (3,6) and (3,5)
Let say A=(3,6) and B=(3,5)
Formula for find out line equation using two points.
\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)
Slope can be denoted by m.
Slope formula \(m=\frac{y_2-y_1}{x_2-x_1}\)
\(m=\frac{5-6}{3-3}\)
m=-1/0
Line equation can be rewritten as \(y-y_1=m (x-x_1)\)
Submit m in above equation
\(y-6=\frac{-1}{0} (x-3)\)
Simplify it.
(y-6)*0=-1(x-3)
x-3=0
Therefore , line equation represents a line that passes through the two points is x-3=0
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Question 10 (45 points)
Which pair of triangles is congruent by ASA?
OL
th
Plsplzplzpls help now pls
Kristina is four-fifths as old as her sister. Kristina is 12 years old. Write a multiplication equation and solve the equation to determine her sister's age
Answer: Kristina sister's age = 15 years
Step-by-step explanation:
LET the sister's age be rep as x
SO that Kristina = 4/5 of x
Given that Kristina's age = 12 , Then her sister's age can be found using The equation
4/5 x X= 12
4/5 X =12
X = 5 X 12 / 4
=60/4=15
Kristina's sister's age = 15 years.
help its urgent please
Hi,
Answer is $0.19
Step-by-step explanation:-
We know that:-
15 dimes = $1.50
20 nickels = $1.00
8 quarters = $2.00
half dollar = $0.50
19 pennies = $0.19
Total = $5.19
Since Billy spended $5, so,
$5.19 - $5 = $0.19
Hope it helps you...