Step-by-step explanation:
p-4=2p-14
p-2p=-14+4
-p=-10
p=10
PLEASE PLEASE HELPPP
Priya drew a circle whose area is 25 cm. Dan drew a circle whose diameter is 4 times the radius of Priya's circle. How many times greater is the area of Dan's
circle?
Answer:
400
Step-by-step explanation:
first work out the radius of priya's circle with the equation a = \(\pi r^{2}\)
\(25 = \pi r^{2}\)
\(\frac{25}{\pi } = r^{2}\)
\(r = \sqrt{\frac{25}{\pi } }\)
we know the diameter of a circle is 2 times the radius so the diameter of priya's circle is 2x\(\sqrt{\frac{25}{\pi } }\)
this means that if the diameter of dan's circle is 4 times bigger it must be
8x\(\sqrt{\frac{25}{\pi } }\)
to find the radius of dan's circle we divide the diameter by to 2 to give
4x \(\sqrt{\frac{25}{\pi } }\)
then use the a=\(\pi r^{2}\) equation again
\(a= (4 \sqrt{\frac{25}{\pi } })^{2} \pi\)
which equals 400
hope that helped
3. A large fruit dish with a 36 in. diameter is placed in the center of a banquet across and is completely filled with apples. The next ring has a 24 in. diameter and is completely filled with oranges. The outermost ring is completely filled with bananas. bananas oranges 6 in. 6 in. apples 6 in. 6 in. (a) What is the probability of randomly selecting an apple from the dish? Show your work. (b) What is the probability of randomly selecting a banana from the dish? Show your work. Answer:
Answer:
a) 11%
b) 56%
Step-by-step explanation:
a) A= πr^2 6^2π= 36π A= 18^2π = 324π
36π/324π = .111111111111111111111111 or 11%
remember to cancel out the pi symbols when you are showing your work
(put a line across the pi symbols when dividing)
b) A= πr^2 18^2 π = 324π
A= πr^2 12^2π = 144π
324 – 144 = 180
180π/324π = .5555555555555555555555556 or 56%
remember to cancel out the pi symbols when you are showing your work
(put a line across the pi symbols when dividing)
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
what is the question you want 12 or 13
solve this equation: x+21=20
Answer:
x=20-21
x= -1
hope helps... :)
10c - 7 • 11
c = 9
Evaluate the expression
Answer:
13
Step-by-step explanation:
10c - 7 • 11
c = 9
then:
= (10·9) - (7·11)
= 90 - 77
= 13
If you have to divide by a variable, be sure to explain why it is not zero or why it cannot be zero
1. Let A(x,y,z) = 12 +3+ y2 - 2y MULTIPLIERS
(a) Find the global maximum and minimum of A(3,7.2) subject to the constraint ar* + y + z = 2
(b) Find the global maximum and minimum of Als, y.) on the closed bounded dornain ** + y + x2 <16.
(a) There is no extreme value of A subject to the given constraint,
(b) For x = 0, y + z² ≤ 16.
y is between -4 and 4. In this case, f(y,z) = y² and the maximum value is 16.
For x = ±y, z = 4 - y².
y is between -2 and 2. In this case, f(y,z) = 2y² - y⁴ and the maximum value is 2.
When dividing by a variable, one should always keep in mind that the variable cannot be equal to zero. In other words, if the value of the variable is zero, the function or expression will not be defined or will give an undefined result. The reason is that division by zero is not defined in the set of real numbers.
Therefore, one should exclude the value of zero from the domain of the function or expression.
In part (a) of the given question, we are asked to find the global maximum and minimum of A(x,y,z) = 12 + 3x + y² - 2y subject to the constraint x + y + z = 2.
Let's find the partial derivatives of A with respect to x, y, and z.
∂A/∂x = 3
∂A/∂y = 2y - 2 = 2(y - 1)
∂A/∂z = 0
Now, we have to solve the system of equations consisting of the partial derivatives and the constraint equation.
\(3 = \lambda_1 + \lambda_2,\\2y - 2 = \lambda_1 + \lambda_2,\\\lambda_1x + \lambda_2x = 0,\\\lambda_1y + \lambda_2y - 1 = 0,\\\lambda_1z + \lambda_2z = 1.\)
Substituting the values of the partial derivatives, we get:
\(\lambda_1 + \lambda_2 = 3,\\\lambda_1 + \lambda_2 = -2,\\\lambda_1(3) + \lambda_2(0) = 0,\\\lambda_1(y - 1) + \lambda_2(y - 1) = 0,\\\lambda_1(0) + \lambda_2(1) = 1.\)
The second and third equations are contradictory. So, under the given constraint, A has no extreme value.
In part (b), we are asked to find the global maximum and minimum of A(x,y,z) = x² + y² on the closed bounded domain x² + y + z² ≤ 16.
Let's use the method of Lagrange multipliers to solve the problem. We have to find the critical points of the function f(x,y,z) = x² + y² subject to the constraint x² + y + z² = 16.
We have to solve the system of equations consisting of the partial derivatives of f, the partial derivatives of the constraint function, and the equation of the constraint function.
2x = λ(2x),
2y = λ(1),
2z = λ(2z).
Substituting the value of λ from the second equation into the first equation, we get: x = 0 or x = ±y.
Substituting the values of x and λ from the first and second equations into the third equation, we get:
z = 4 - y² or z = 0.
Since the constraint is x² + y + z² ≤ 16, we have to consider the following cases:
Case 1: x = 0, y + z² ≤ 16.
So, y is between -4 and 4. The maximum value of f(y,z)=y² is 16 in this case.
Case 2: x = ±y, z = 4 - y².
So, y is between -2 and 2. The maximum value of f(y,z) = 2y² - y⁴ is 2 in this case.
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Which of the graphs correctly shows the set {-7, -2, 7}?
A) A
B) B
C) C
D) D
You are shopping for single-use cameras to hand out at a party. The daylight cameras cost $2.75 and the flash cameras cost$4.25. You must buy exactly 20 cameras and you want to spend between $65 and$75, inclusive. Write and solve a compound inequality for this situation. Then list all the solutions that involve whole numbers of cameras.
The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.
To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.
To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.
After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:
(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).
These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.
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20(-1) - (-4) (-5)
2 [-12 + (-3 - 3)]
Plz help I don’t understand
Answer: The answer is 700
Step-by-step explanation:
I hope is right?
Answer:
1. 20(-1) - (-4) (-5)= -40
2.[-12 + (-3 - 3)]= -18
Step-by-step explanation:
20(-1) - (-4) (-5)
=(20 * -1) - (-4 * -5)
(When 2 numbers are written next to each other in brackets without any sign in between them, it means multiplication)
=(-20) - (20)
= -20 -20
= -40
----------------------------------------------------------------------------------------------
[-12 + (-3 - 3)]
=[-12+(-6)]
=[-12-6]
= -18
Solve math problems
Answer:
question ??????????????
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.56 and a standard deviation of 0.45. Using the empirical rule, what percentage of the students have grade point averages that are greater than 1.66
Using the empirical rule, we can estimate that approximately 97.5% of the students have GPAs that are greater than 1.66 at this university.
The empirical rule, also known as the 68-95-99.7 rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
To apply this rule to the given scenario, we first need to calculate how many standard deviations away from the mean a GPA of 1.66 is.
Z = (X - μ) / σ
Where X is the GPA in question, μ is the mean (2.56), and σ is the standard deviation (0.45).
Z = (1.66 - 2.56) / 0.45 = -2
This tells us that a GPA of 1.66 is 2 standard deviations below the mean.
Now, using the empirical rule, we know that approximately 95% of the data falls within two standard deviations of the mean. Since a GPA of 1.66 is 2 standard deviations below the mean, we can conclude that only about 2.5% (half of the remaining 5%) of the students have a GPA lower than 1.66.
Therefore, the percentage of students who have GPAs that are greater than 1.66 would be approximately 97.5%.
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To paint a house, a painting company charges a flat rate of 500 for supplies plus $50 for each hour of labor. What is the slope of the line? Use the sketch tool if it helps you with your thinking.What is the meaning of the slope in this context?
Answer:
slope = $50
Step-by-step explanation:
Given the linear equation, y = mx + b:
The slope (m) is the rate of change for every x number of labor hours. What this implies is that whenever the input (x-value) or the number of labor hours increases or decreases, the value of y (total cost) will increase by the given slope value.
Slope: The painting company charges $50 for every 1 hour of labor.
The y-intercept (b) represents the flat rate or initial value. In the given problem, it states that the company charges $500 for supplies. This means that regardless of whether the company finishes working on the painting job, they will charge their customers the flat rate.
Combined, the linear equation will be:
y = 50x + 500
Please mark my answers as the Brainliest if you find my explanations helpful :)
Solve the equation.
8-2x = -8x + 14
x = -1
x=-3:5
x=3/5
X= 1
Need help on this question as well
The required arc length of sector VW is 8\(\pi\).
Given that, in a circle U, radius UV = 9 and central angle of sector m∠VUW = 160°.
To find the arc length of sector VW, we can use the formula:
Arc length = (central angle / 360) x circumference of the circle.
First, find the circumference of the circle by the formula for the circumference of a circle is given by:
Circumference = 2 x \(\pi\) x radius.
Circumference = 2 x \(\pi\) x 9 = 18π.
Now, let's find the arc length of sector VW using the central angle of 160 degrees:
Arc length = (160/360) x 18π
Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).
Therefore, the arc length of sector VW is 8\(\pi\).
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Jamie is fencing using a Sabre that is 34 in long if he is standing 23 in from his opponent what angle should he use to strike down at his opponent
No
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answer the following
this is science
Answer:
Its the last one.
Step-by-step explanation:
I did this and got it right
Answer:
c
Step-by-step explanation:
What is the value of 9 in
quinary number?
Answer:
14x14x14x14x14=14.5
Step-by-step explanation:
Step-by-step explanation:
hope it is helpful to you
help pls pls my math needs to be good grade pls pls no summer school pls pls
Which inequalities are true when x equals -8 ?
Answer:
I think it's just water bro
Answer:
B & C
Step-by-step explanation:
whats the answer ? Its really hard
Putting together the solutions from each of the equations, the 4 letter code is GFBA
Solving Linear EquationsFrom the question, we are to solve each of the linear equations to determine the 4 LETTER CODE
1. -2x + 1 = 3x + 16
Add 2x to both sides
-2x + 2x + 1 = 3x + 2x + 16
1 = 5x + 16
Subtract 16 from both sides
1 - 16 = 5x + 16 - 16
-15 = 5x
x = -15/5
x = -3
The letter that corresponds to this is G
2. 7 - 8x = 4x - 17
Add 8x to both sides
7 - 8x + 8x = 4x + 8x -17
7 = 12x - 17
Add 17 to both sides
7 + 17 = 12x - 17 + 17
24 = 12x
x = 24/12
x = 2
The letter that corresponds to this is F
3. 20 -2(x - 2) = 2x
Clear the parentheses
20 -2x + 4 = 2x
Simplify
24 -2x = 2x
Add 2x to both sides
24 - 2x + 2x = 2x + 2x
24 = 4x
x = 24/4
x = 6
The letter that corresponds to this is B
4. 5(x + 4) = 6x - 5
Clear the parentheses
5x + 20 = 6x - 5
Subtract 5x from both sides
5x - 5x + 20 = 6x - 5x - 5
20 = x - 5
Add 5 to both sides
20 + 5 = x - 5 + 5
25 = x
x = 25
The letter that corresponds to this is A
Hence,
The code is GFBA
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a poll showed that 53.6% of americans say they believe that some psychics can help solve murder cases. what is the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases.
The probability of randomly selecting someone who does not believe that some psychics can help solve murder cases is 46.4%. Hence, the answer is 46.4%.
Given the poll showed that 53.6% of Americans say they believe that some psychics can help solve murder cases.
We are to find the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases.
Let us consider the following events:
Let A be the event that someone believes that some psychics can help solve murder cases and B be the event that someone does not believe that some psychics can help solve murder cases.
Then A and B are complementary events, that is A∩B=∅ (i.e., the events cannot happen at the same time) and A∪B = S (the event space).
Thus we can write P(A) = 53.6% and P(B) = 100% - 53.6% = 46.4%.
Therefore, the probability of randomly selecting someone who does not believe that some psychics can help solve murder cases is 46.4%. Hence, the answer is 46.4%.
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A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches. Use π = 3.14. What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)
Answer:
The volume of the cylinder is 1.5 more that the one of the cone (i think)
Step-by-step explanation:
HOPE THIS HELPS (i am not sure it is correct)
PLZZ MARK BRAINLIEST if correct
Answer:
Step-by-step explanation:
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use π = 3.14.
Does anyone know how to do this?
The counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of n objects where order of selection is not important is called the rule for?.
Combination is the counting rule that is used for counting the number of experimental outcomes when n objects are selected from a set of N objects, where order of selection is not important.
The formula for combination is given by:
C = N! / n!(N - n)!
where N is the set of objects
and n is the number of objects to be selected from N
example: If the order doesn't matter, how many ways can 3 girls be selected from a group of 5 girls?
C = N! / n!(N - n)!
where N = 5 and n = 3
C = 5! / 3!(5 - 3)!
C = 120/(6)(2)
C = 10
Hence, there are 10 ways to select 3 girls from a group of 5 girls.
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Help me out!
Identify the function that reflects f(x) = 14x^3 − 7x^2 + 6 across the y-axis and shifts it 6 units up.
1: h(x) = 14x^3 − 7x^2
2: h(x) = −14x^3 − 7x^2 + 12
3: h(x) = 14x^3 + 7x^2 + 12
4: h(x) = −14x^3 − 7x^2
Answer:
\(\boxed 3 \: h(x) = 14 {x}^{3} - 7 {x}^{2} + 12\)
The number q is rational. Which statement about q- 10 is true
Answer:
you forgot to add the statements
What is 3/4 + 2/8 = ???
Answer: 1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
You can change the 3/4 to 6/8 and 2/8 + 6/8 = 8/8.
You could also change 2/8 to 1/4 and 3/4 + 1/4 = 4/4.
8/8 and 4/4 both equal 1.
Hope you get a good grade :)
PLZ HURRY
10 POINTS AND BRANLIEST!!
1. Hilary's Horse Hideaway is buying dirt to fill their circular training area. The training circle is 28 feet across. What is
the area of the training arena?
2. The dirt is sold in truckloads that cover 75 sq feet of ground. How many truckloads of dirt will Hilary need?
Answer:
1. 615.75
2. 9
Step-by-step explanation:
What is 420÷6 hellllll,lllllllllllllllpppppp I n ee d it now
Answer:
70
Step-by-step explanation:
Can somebody helpp ???
Answer:
X = 2
Z = 95
Step-by-step explanation:
Answer:
Step-by-step explanation:
13x+59=11x+63
13x-11x=63-59
2x=4
x=2
13*2+59=26+59=85
11*2+63=22+63=85
360-85*2=2z
190=2z
z=95
It will be nice if you give me brainliest.Good luck!