Answer:
it is the third one ~w -> v
Step-by-step explanation:
Definition of an inverse
The surface area of a cylinder is 28π m². the distance around the base of the cylinder is 7π meters and the diameter of a base of the cylinder is 4 meters. what is the height of the cylinder?
The height of the cylinder is 5 m.
The surface area of a cylinder is \(28 \pi m^{2}\).
The total surface area of a cylinder is equal to the sum of the areas of all its faces. The total surface area with radius ‘r’, and height ‘h’ is equal to the sum of the curved area and circular areas of the cylinder.
Let's call the height of the cylinder "h". The surface area of a cylinder can be calculated as
\(2 \pi rh + 2 \pi r^{2}\)Where r is the radius of the base.
Since the diameter of the base is 4 meters, the radius is 4/2 = 2 meters.
We know the surface area of the cylinder is \(28 \pi m^{2}\), so we can use this information to find h:
⇒\(28 \pi = 2 \pi(2)h + 2 \pi(2)^{2}\)
Expanding and simplifying the equation:
⇒28π = 4πh + 8π
Subtracting 8π from both sides:
⇒20π = 4πh
Dividing both sides by 4π:
⇒h = 5
Therefore, the height of the cylinder is 5 meters.
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How to add polynomials in brackets
Drag each label or value to the correct location on the image. Each label or value can be used more than once, but not all labels or values will be used.
A physics student drops a ball from a height of 64 feet into a vacant parking lot. After one bounce, the height of the ball is 48 feet, and after two bounces, the height of the ball is 36 feet.
This situation can be modeled by the following exponential function.
f(x)=64(0.75)^x
Complete the sentences below.
The variable, (___), represents the number of times the ball bounces.
The variable,(___), represents the height of the ball after (___) bounces.
The parameter,64, represents the (___) of the ball.
The parameter,0.75, represents the percentage of (___) left from each previous bounce.
A. Bounces
B. f(x)
C. 36
D. x
E. Initial height
F. Height
Answer:
x, f(x), x, initial height, and height
Step-by-step explanation:
The variable, x, represents the number of times the ball bounces.
The variable, f(x), represents the height of the ball after x bounces.
The parameter, 64, represents the initial height of the ball.
The parameter, 0.75, represents the percentage of height left from each previous bounce.
Find the value of y
Answer:
64-degree ( Alternate angles)
Answer:
y = 64 degree
Step-by-step explanation:
angle y = 64 degree (being alternate interior angles)
y° = 64°
solve the following system of equations using substitution
x = 4
2x + 4y = 36
Step-by-step explanation:
2x + 4y = 36
2 × 4 + 4y = 36
8 + 4y = 36
4y = 36 - 8
4y = 28
y = 28 ÷ 4
y = 7
Choose the right answer. Jim Pine wants to learn golf. He makes the following purchases: Used Clubs $150 Bag $75 Golf Balls and Tees $22. 50 Shirt $12. 50 Shoes $65. 00 Tax Rate 6. 5% Facility $10 per round. How much will it cost Jim total to play once a week for 12 weeks? Total cost = $
Therefore, it will cost Jim a total of $445.00 to play golf once a week for 12 weeks.
To calculate the total cost for Jim to play golf once a week for 12 weeks, we need to consider the cost of the purchases and the cost of playing at the facility.
The total cost of purchases is calculated by summing the prices of the used clubs, bag, golf balls and tees, shirt, and shoes:
Total cost of purchases = $150 + $75 + $22.50 + $12.50 + $65.00 = $325.00
The total cost of playing at the facility for 12 weeks is calculated by multiplying the cost per round by the number of rounds (12 weeks):
Total cost of playing at the facility = $10.00/round * 12 rounds = $120.00
To find the overall total cost, we add the total cost of purchases and the total cost of playing at the facility:
Total cost = Total cost of purchases + Total cost of playing at the facility = $325.00 + $120.00 = $445.00
Therefore, it will cost Jim a total of $445.00 to play golf once a week for 12 weeks.
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Help pls!! Find the value of DB and AE
Answer:
B
Step-by-step explanation:
x=2
3x + 10
3(2) + 10
6+10
16
Db=16
16(x)
16(2)
32=AE
Db=16, 32=AE which is B
plz brainliest
Answer:
16, 32
Step-by-step explanation:
BD is midsegment of the ΔACE ⇒ 16x = 2(3x + 10)
16x - 6x = 20 ⇒ x = 2
BD = 3(2) + 10 = 16 units
AE = 16(2) = 32 units
HELP PLS!! BRAINLIEST 5 STARS AND A THANKS!!!
Calculate the correlation coefficient of the following data:
x y
1 5
4 10
8 20
6 14
2 7
A. 0.99
B. 2
C. -2
D. -0.99
Answer:
bbbbb;bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Answer:
D
Step-by-step explanation:
Took test and got 100%
Which term of the AP. 8 , -4 , -16 , -28 ,......... is -880 ?
Answer: 75th term
Step-by-step explanation:
If you look at the first terms, you can see that we're subtracting 12 from the previous term to get the number. Knowing this, we can write an expression for the nth term. The expression would be -12n + 20. Since this specific term has value of -880, we set -880 equal to the value of -12n+20. By setting your equation like this -12n + 20 = -880 and solving, you get n = 75, which means the 75th term has a value of -880.
Katie bought 4 sweaters that each cost the same amount and 1 skirt that cost $20. The items she bought cost a total of $160 before tax was added. What was the cost of each sweat?
Answer:
$35
Step-by-step explanation:
first we need to find the amount of money the sweaters cost alone.
so we first subtract the total (160) - the skirt price (20) which is 140
now we divide it by 4 to find the price of each seater, as they all cost the same.
so 140 divided by 4 = 35
answer: $35
The motion of an object was recorded by measuring the velocity of the object in meters per second at various times, as shown in the table. The scatterplot below was graphed from the data in the table, where t represents the time, and v represents the velocity.
Based on the scatterplot, which equation BEST represents the relationship between velocity and time?
The regression equation that represents the relationship between velocity and time is:
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points (t,v), that is, time and velocity, are given as follows:
(0, 6.1), (2.1, 12.2), (5.3, 17.4), (8.2, 26.4), (10, 28.1), (12.1, 32.8).
Hence, inserting these points into a calculator, the equation is given by:
v = 2.19t + 6.7.
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A bag contains 25 marbles. Some are red and the rest are black. There are 4 red marbles per black marble,
a. How many red marbles are in the bag?
Answer:
20 red marbles
Step-by-step explanation:
What is 1.35 written as a percentage?
Answer:
135%
Step-by-step explanation:
The decimal 1.35 equals 135%
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 1.35 × 100 = 135% (answer).
➥ The ease way:
1) Move the decimal point two places to the right: 1.35 → 13.5 → 135.
2) Add a % sign: 135%
Answer: 135%
Answer:
135%
Step-by-step explanation:
1.35 · 100 = 135%
Recall that convex functions satisfy ƒ(0x1₁ + (1 − 0)x2) ≤ 0 ƒ (x1) + (1 − 0) ƒ (x₂) for any [0, 1] and any x₁, x2 in the domain of f. (a) Suppose f(x) is a convex function with x E Rn. Prove that all local minima are global minima. I.e., if there is a point xo such that f(x) ≥ f(xo) for all x in a neighbourhood of xo, then f(x) ≥ ƒ(x) for all x € R". (b) Draw a graph of a (non-convex) function for which the statement in part (a) is not true, and indicate why on the graph.
(a) If f(x) is a convex function with x ∈ ℝⁿ, then all local minima of f(x) are also global minima. In other words, if there exists a point xo such that f(x) ≥ f(xo) for all x in a neighborhood of xo, then f(x) ≥ f(xo) for all x ∈ ℝⁿ.
(b) A graph of a non-convex function can be visualized to understand why the statement in part (a) is not true. It will show a scenario where a local minimum is not a global minimum.
(a) To prove that all local minima of a convex function are also global minima, we can utilize the property of convexity. Suppose there is a point xo such that f(x) ≥ f(xo) for all x in a neighborhood of xo. We assume that xo is a local minimum. Now, consider any arbitrary point x in ℝⁿ. We can express x as a convex combination of xo and another point y in the neighborhood, using the convexity property: x = λxo + (1 - λ)y, where λ is a scalar between 0 and 1. Using this expression, we can apply the convexity property of f(x) to get f(x) ≤ λf(xo) + (1 - λ)f(y). Since f(x) ≥ f(xo) for all x in the neighborhood, we have f(y) ≥ f(xo). Therefore, f(x) ≤ λf(xo) + (1 - λ)f(y) ≤ λf(xo) + (1 - λ)f(xo) = f(xo). This inequality holds for all λ between 0 and 1, implying that f(x) ≥ f(xo) for all x ∈ ℝⁿ, making xo a global minimum.
(b) A graph of a non-convex function can demonstrate a scenario where the statement in part (a) is not true. In such a graph, there may exist multiple local minima, but one or more of these local minima are not global minima. The non-convex nature of the function allows for the presence of multiple valleys and peaks, where one of the valleys may contain a local minimum that is not the overall lowest point on the graph. This occurs because the function may have other regions where the values are lower than the local minimum in consideration. By visually observing the graph, it becomes apparent that there are points outside the neighbourhood of the local minimum that have lower function values, violating the condition for a global minimum.
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Refer to Table 4-1. Suppose that D2 and S1 are the prevailing demand and supply curves for a product. If the demand schedule changes from D2 to D1, then:
Price D 1 D 2 S 1 S 2
$12 5 9 19 14
$10 8 12 17 12
$8 11 15 15 10
$6 13 18 13 8
$4 16 21 11 6
$2 18 24 9 4
equilibrium price increases from $6 to $8.
equilibrium quantity increases from 13 to 18
equilibrium quantity decreases from 15 to 13.
equilibrium price decreases from $6 to $4.
The correct option is A, equilibrium price increases from $6 to $8.
What do you mean by Equilibrium?In economics, equilibrium is a state in which the supply and demand for a product or service are balanced, resulting in a stable price. This can occur in a free market, where the price of a good or service is determined by the interaction of buyers and sellers.
Overall, equilibrium is a fundamental concept in many different fields, representing a state of balance or stability in a system or situation.
If the demand schedule changes from D2 to D1, then the demand curve shifts to the left. As a result, the new equilibrium point will be where the new demand curve (D1) intersects with the supply curve (S1).
From the table, we can see that the new equilibrium point is at a price of $8 and a quantity of 15. Therefore, the equilibrium price increases from $6 to $8, but the equilibrium quantity decreases from 15 to 13.
So the correct answer is: equilibrium price increases from $6 to $8.
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q(x)= x 2 −6x+9 x 2 −8x+15 q, left parenthesis, x, right parenthesis, equals, start fraction, x, squared, minus, 8, x, plus, 15, divided by, x, squared, minus, 6, x, plus, 9, end fraction Describe the behavior of the function qqq around its vertical asymptote at x=3x=3x, equals, 3.
According to the theory of rational functions, there are no vertical asymptotes at the rational function evaluated at x = 3.
What is the behavior of a functions close to one its vertical asymptotes?
Herein we know that the rational function is q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15), there are vertical asymptotes for values of x such that the denominator becomes zero. First, we factor both numerator and denominator of the equation to see evitable and non-evitable discontinuities:
q(x) = (x² - 6 · x + 9) / (x² - 8 · x + 15)
q(x) = [(x - 3)²] / [(x - 3) · (x - 5)]
q(x) = (x - 3) / (x - 5)
There are one evitable discontinuity and one non-evitable discontinuity. According to the theory of rational functions, there are no vertical asymptotes at the rational function evaluated at x = 3.
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Which of the following is an equivalent form of the compound inquality -44 > -2x-8 ≥-8
To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph. To find the solution of the compound inequality, we look at the graphs of each inequality and then find the numbers that belong to both graphs—where the graphs overlap. For the compound inequality x>−3 and x≤2, we graph each inequality. if you use this formula you will be able to get the answer
PLEASE HELP AND FAST PLEASEEEEE will mark brainliest if right
Answer the questions on the picture please
Step-by-step explanation:
no pic available Hun xx try posting again
3. f(3) if f(x) = 2x + 4 I also need the explanation please!
Answer:
f(3) = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 2x + 4
f(3) is x = 3
Step 2: Evaluate
Substitute in x: f(3) = 2(3) + 4Multiply: f(3) = 6 + 4Add: f(3) = 10Answer:
10
Step-by-step explanation:
2x+4
2(3)+4
6+4
10
write 5 lcms of 100 and 120
Answer:
The LCM of 100 and 120 is 600.
The LCM of 5 and 120 is 120.
LCM of 5 and 100 is 100.
Step-by-step explanation:
I think this is the answer . If it is not sorry .
A basketball team played six games. In those games, the team won by 8 points, lost by 11, won by 7, won by 11, lost by 4, and won by 13. What was the mean difference in game scores over the six games?
Mean =sum of observations/ no.of observations
Mean=8+11+7+11+4+13/6
=54/6
mean=9
The mean difference in the game scores over six games is 2.5
What is mean difference?The mean difference measures the absolute difference between the mean value in two different groups.
Given is a basketball team which played six games such that in those games, the team won by 8 points, lost by 11, won by 7, won by 11, lost by 4, and won by 13 respectively.
The mean difference of the given data can be calculated using the following formula -
Mean Difference = (∑W / n) - (∑L / n)
Where -
(∑W / n) is the mean of games won.
and
(∑L / n) is the mean of games lost.
(∑W / n) = (8 + 7 + 11 + 13)/4 = 9.75
and
(∑L / n) = (11 + 4)/2 = 15/2 = 7.5
Mean difference = (∑W / n) - (∑L / n) = 9.75 - 7.5 = 2.5
Therefore, the mean difference in the game scores over six games is 2.5
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Use the information given in the figure to find the length RT.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
R
117
53
28
T
HELP LOLL
Answer:
RT=108
Step-by-step explanation:
Consider ΔQST:
Use pythagorus's theorem.
a²=b²+c²
QS²=QT²+ST²
53²=QT²+28²
2809-784=QT²
QT=√2025=45
Consider ΔQRT:
Use pythagorus's theorem.
a²=b²+c²
QR²=QT²+RT²
117²=45²+RT²
13689-2025=RT²
RT=√11664=108
simplify the expression. 2x + 3(x-2) -3(x-6)
Answer:
2x+12
Step-by-step explanation:
2x + 3(x-2) -3(x-6)
distribute
2x+3x-6-3x+18
sort
2x+3x-3x-6+18
add 2x and 3x
5x-3x-6+18
subtract 5x and 3x
2x-6+18
add -6 and 18
2x+12
because we can't add the two the final answer is:
2x+12
What is the product of -4 1/2 and 2 1/2 enter your answer as a mixed number
Answer:
-1
Step-by-step explanation:
Simplify the following:
-2 + 1
Hint: | Divide 4 by 2.
4/2 = (2 (-2))/2 = 2:
-2 + 1
Hint: | Divide 2 by 2.
2/2 = (2×1)/2 = 1:
-2 + 1
Hint: | Subtract 2 from 1.
-2 + 1 = -1:
Answer: -1
A-8
B-16
C-12
Please help guys.
I have until Tuesday to do this please help.
Answer:
A) x=1
B) x= 3/4
C) x= 13
D) x=4
E) x=8
G) x=10
H) x=2
I) x=-6
K) x=3
N) x=9
O) x=7
P) x=-11
Q)x=5/8
R)x=12
S) x=11
T) x=6
Step-by-step explanation:
Suppose that cell H15 is an output cell in a spreadsheet for which we have run a simulation. How could you compute the probability of that cell's value exceeding 500
By using 1-PsiTarget(H15, 500) we compute the probability of cell H15's value exceeding 500 in a spreadsheet simulation.
PsiTarget is a function commonly used in spreadsheet simulation software to calculate probabilities.
The first argument (H15) specifies the cell you want to calculate the probability for.
The second argument (500) represents the target value you want to compare against.
The PsiTarget function returns the probability of the cell's value being less than or equal to the target value.
By subtracting this probability from 1, you get the probability of the cell's value exceeding the target value.
Therefore, the correct formula to compute the probability of cell H15's value exceeding 500 is 1-PsiTarget(H15, 500).
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Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {2, 4, 5, 6, 7, 9}. List the elements of each set. (Enter your answers using roster notation. Enter EMPTY or ∅ for the empty set.)
The list of elements of each set are as follows:-
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 3, 5, 7, 9}
B = {2, 4, 6, 8, 10}
C = {2, 4, 5, 6, 7, 9}
What are sets?A set in mathematics is a collection of unique objects, referred to as elements or members, that are paired off according to some shared quality.
For instance, 1, 2, 3, 4, 5, 6, 7, and 8 make up the set of all natural numbers that are less than 10. There are several ways to describe sets, including by describing its components, using set builder notation, or by utilising set operations.
Given that-
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 3, 5, 7, 9}
B = {2, 4, 6, 8, 10}
C = {2, 4, 5, 6, 7, 9}
Set U contains all the numbers from 1 to 10, so U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
Set A contains only the odd numbers from 1 to 10, so A = {1, 3, 5, 7, 9}.
Set B contains only the even numbers from 1 to 10, so B = {2, 4, 6, 8, 10}.
Set C contains the numbers that are in both A and B, so C = {2, 4, 5, 6, 7, 9}.
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Complete the statement with equal to, greater than, or less than.
2/7 x 1/3 will be __________ 1/3
Select all of the expressions that are equivalent to 5% of 60. 1/20(60), 1/5 times 60, 0.05 times 60, 0.5 times 60, 0.5(60), 5/100 times 60
The expressions that are equivalent to 5% of 60 are 5/100 * 60, 0.05 * 60 and 1/20 * 60
How to determine the expressions that are equivalent to 5% of 60?The expression is given as:
5% of 60
Express as fraction and decimal
5% of 60 = 5/100 * 60
5% of 60 = 0.05 * 60
This gives
5% of 60 = 1/20 * 60
Hence, the expressions that are equivalent to 5% of 60 are 5/100 * 60, 0.05 * 60 and 1/20 * 60
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