Answer:
18 peach pies
Step-by-step explanation:
9:3 -> that's 3 peach pies for every apple pie made
Which means that if 6 apple pies are made (6x3) 18 peach pies are made
Answer:
18 peach pies
Step-by-step explanation:
6 divided by 3 which is 2
then do 2 times 9
and you get 18
Scroll fast!
A box is filled with 4 red crayons, 8 blue crayons, and 2 yellow crayons.
A crayon is chosen at random from the box. Find the probability that it is a red or a yellow crayon.
Write your answer as a fraction in simplest form.
음
Х
?
Answer:
3/7
Step-by-step explanation:
there are a total of 14 crayons in the box.
The probability of choosing a red crayon is 4/14 and the probability of choosing a yellow crayon is 2/14
The probability of choosing either red or yellow is the sum of those two fractions which gets you 6/14 which equals 3/7
The length of a rectangle is 4 yd less than three times the width, and the area of the rectangle is 55 ya? Find the dimensions of the rectangle. Length: Width :
Answer:
length = 11 yard
width = 5 yard
Step-by-step explanation:
Area of a rectangle = L W
where A = 55 yard
L = 3W - 4
find: Length
width
solution:
A = L W
55 = (3W - 4) W
55 = 3W² - 4W
3W² - 4W - 55 = 0
use quadratic equation to solve for W:
W = - (-4) ± √(-4)² - 4(3)-55
2(3)
W = 5, W = -11/3
substitute W=5 to equation L = 3W - 4 to solve for L
L = 3W - 4
L = 3(5) - 4
L = 15 - 4
L = 11
therefore, the dimensions of a rectangle:
length = 11 yard
width = 5 yard
The length of a rectangle is 4 meters longer than its width. The area of the rectangle is 117m^2 What is the width of the rectangle?
The width of the rectangle is approximately 9.66 meters.
What is the area of a rectangle?The formula for the area of a rectangle is:
Area = length * width
Let's assume the width of the rectangle as x meters.
According to the problem, the length of the rectangle is 4 meters longer than its width.
So,
the length of the rectangle would be (x+4) meters.
Substituting the given values, we get:
117 = (x+4) * x
\(117 = x^2 + 4x\)
Rearranging the terms, we get a quadratic equation in standard form:
\(x^2 + 4x - 117 = 0\)
To solve for x, we can use the quadratic formula:
x = [-b ± (\(\sqrt{ b^2 - 4ac\))] / 2a
Where a = 1, b = 4, and c = -117.
Substituting the values, we get:
x = [-4 ± \(\sqrt{4^2 - 4(1)(-117)\))] / 2(1)
x = [-4 ± √472)] / 2
x = (-4 ± 2√118)) / 2
x = -2 ± √118
The width of the rectangle cannot be negative. Therefore, we take the positive root:
x = -2 + √118
x ≈ 9.66 meters (rounded to two decimal places)
Therefore, the width of the rectangle is approximately 9.66 meters.
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How do I find the domain and range of a function?
The domain of the function y = 2 - √(-3x+2) is (-∞ , 2/3] and the range of the function is (-∞ , 2] .
In the question ,
it is given that , the function is ⇒ y = 2- √(-3x+2) .
For Domain ,
we know that the square root function is defined only when the number inside the root is non negative .
that means ,
-3x \(+\) 2 ≥ 0
Subtracting 2 from both the sides ,
we get ,
-3x ≥ -2
x ≤ 2/3
the Domain is (-∞ , 2/3] .
For range , we know that the root function value in always non negative .
√(-3x + 2) ≥ 0
Multiply by -1 on both sides
we get ,
-√(-3x + 2) ≤ 0
Adding 2 to both the sides
2 - √(-3x + 2) ≤ 2
y ≤ 2
the range is (-∞ , 2] .
Therefore , the domain is (-∞ , 2/3] and the range is (-∞ , 2] .
How do we find the domain and range of the function y = 2- √(-3x+2) ?
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what is 6^-2 in a fraction form
Answer:
\(\frac{1}{36}\)
Step-by-step explanation:
For negative exponents, you get the original number and make it into its reciprocal, and then whatever power it is to, is the power the bottom number is to, so you get:
\(6^{-2} = \frac{1}{6^{2} }\)
Which simplifies to:
\(\frac{1}{36}\)
So, \(6^{-2}\) in fraction form, is \(\frac{1}{36}\).
Hope this helped!
Please give me brainliest if possible!
if the f is differentiable, then its derivative is the maximizing argument in the computation of the convex conjugate:
while the derivative of a differentiable function is important in the computation of the convex conjugate, it is not accurate to say that the derivative is the maximizing argument.
The statement you provided is not entirely accurate. While it is true that the derivative of a differentiable function can play a role in computing the convex conjugate, it is not accurate to say that the derivative is the maximizing argument in the computation of the convex conjugate.
Let's clarify the concepts involved:
Convex conjugate: Given a function f, its convex conjugate (also known as the Legendre-Fenchel transform) is denoted as f∗ and is defined as:
f∗(y) = sup(x)(⟨x, y⟩ - f(x))
Here, sup denotes the supremum (least upper bound), ⟨x, y⟩ represents the inner product of x and y, and f(x) is the original function.
Derivative: The derivative of a function f(x) with respect to x, denoted as f'(x) or df/dx, gives you the rate of change of the function at a particular point.
The relationship between the derivative and the convex conjugate can be seen through the Moreau-Rockafellar duality theorem, which states that if f is a proper, convex, and lower-semicontinuous function, then its convex conjugate f∗ is also proper, convex, and lower-semicontinuous.
In this duality relationship, the gradient (or derivative) of f plays a crucial role, but it is not the maximizing argument itself.
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Can someone help me out with this?
Answer:
The number of tigers is reduced by a factor of 1/3 every 2 years.
Anwar thinks of a number. If he takes away 7 from 5/2 of the number, the result is 24. What is the number anwar thought ?
Answer:
Step-by-step explanation:
Let x be the number
\(\frac{5}{2}x - 7= 24\\\)
Add 7 to both sides
\(\frac{5}{2}x -7+7=24+7\\\\\frac{5}{2}x=31\\x=31*\frac{2}{5}\\\\x=\frac{62}{5}\\\\x=12\frac{2}{5}\)
Which equation represents the formula for the general term, an, of an arithmetic sequence when a1=3 and a11=23
Answers:
an=3+2(n-1)
an=3+23(n-1)
an=23+10(n-1)
an=23+2(n-1)
Therefore , the solution of the given problem of arithmetic mean comes out to be option A an=3+2(n-1).
Arithmetic mean : What is it?The usual values of a list are determined by adding up every single integer one of the items on the list, which are frequently referred to as the organization's objectives. The number of list items with the highest abundance is then used to adjust these average values. Mathematical growth trends are similar. The number 21 turns into seven by adding three to the true means of the digits 5, 7, and 9, which is 4.
Here,
The following is the formula for the general word "an" in an arithmetic sequence:
=> a = a1 + (n - 1)d
where the first term is denoted by a1, the term number is n, and the common difference is d.
A1 = 3 and A11 = 23 are provided. To determine the common difference, we can use the method for the eleventh term:
=> a11 = a1 + (11 - 1)d
=> 23 = 3 + 10d
=> d = 2
Inputting this number of d into the general term's formula yields the following results:
=> a = 3 + (n - 1)2
The right response is therefore: an=3+2(n-1).
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Nobel Dylan has determined that % of all its MP3 songs sales are credit sales. A random sample of sales is selected. 1. What is the probability that the sample proportion will be greater than ?
2. What is the probability that the sample proportion will be between and ?
1. The probability that the sample proportion will be greater than 0.34 is approximately 0.0192.
2. The probability that the sample proportion will be between 0.196 and 0.354 is approximately 0.8801.
What is the probability?1. Probability that the sample proportion will be greater than 0.34:
The sample proportion can be modeled as a normal distribution.
mean = 0.25
standard deviation = √(p(1-p)/n),
where p is the population proportion and n is the sample size.
Calculating the standard deviation:
σ = √(0.25 * 0.75 / 75)
σ ≈ 0.0433
The z-score will be:
z = (0.34 - 0.25) / 0.0433
z ≈ 2.08
Using a calculator, the probability of obtaining a z-score greater than 2.08 is approximately 0.0192, or 1.92%.
2. Probability that the sample proportion will be between 0.196 and 0.354:
The z-scores for the two values are:
z1 = (0.196 - 0.25) / 0.0433 ≈ -1.25
z2 = (0.354 - 0.25) / 0.0433 ≈ 2.17
Using a calculator, the probability of obtaining a z-score less than -1.25 is approximately 0.1056, and the probability of obtaining a z-score less than 2.17 is approximately 0.9857.
Therefore, the between these two z-scores will be:
Probability = 0.9857 - 0.1056 ≈ 0.8801
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Complete question:
Nobel Dylan has determined that 25% of all its MP3-songs sales are credit sales. A random sample of 75 sales is selected.
1. What is the probability that the sample proportion will be greater than 0.34?
2. What is the probability that the sample proportion will be between 0.196 and 0.354?
Which situation is most likely to have a constant rate of change?
A. The distance of a run compared with the number of times around a track
B. The number of teeth a child has compared with her age
C. The number of people inside a basketball arena compared with the amount of time since the arena opened
D. The number of bottles of orange juice in a grocery store compared with the day of the month
Please help quickly! 25 points and brainliest!
The situation which is most likely to have a constant rate of change is the distance of a run compared with the number of times around a track.
What is rate of change?The rate of change is defined as the change in the magnitude of one value with respect to other value.
Given are some scenerios depicting rate of change.
The situation which is most likely to have a constant rate of change is the distance of a run compared with the number of times around a track as the length of the circular track is constant and the number of times a circular track is run also exists in whole number.
Therefore, the situation which is most likely to have a constant rate of change is the distance of a run compared with the number of times around a track.
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answer.
22. Look at the given triangles.
a. Write an expression in simplest form for the perimeter of each triangle.
b. Write another expression in simplest form that shows the difference bet
Answer:
a. Larger: 16x +5; Smaller: 4x +5
b. Difference: 12x
c. Larger: 53; Smaller: 17
Step-by-step explanation:
You want expressions for the perimeter of each triangle, the difference of those, and their value when x=3.
a. PerimeterThe perimeter is the sum of the side lengths. The expression is simplified by combining like terms.
Larger: (4x +2) +(7x +7) +(5x -4) = (4+7+5)x +(2+7-4) = 16x +5
Smaller: (x +3) +(2x -5) +(x +7) = (1+2+1)x +(3-5+7) = 4x +5
The perimeter of the larger triangle is 16x +5; the smaller, 4x +5.
b. DifferenceThe difference is found by subtracting the smaller from the larger. Like terms can be combined.
(16x +5) -(4x +5) = (16 -4)x +(5 -5) = 12x
The difference in perimeters is 12x.
c. ValueWhen x = 3, the larger triangle perimeter is ...
16·3 +5 = 48 +5 = 53 . . . . units
and the smaller triangle perimeter is ...
4·3 +5 = 12 +5 = 17 . . . . units
The perimeters of the larger and smaller triangles are 53 units and 17 units, respectively, when x = 3.
__
Additional comment
There are no values of x that will make the larger triangle be a right triangle. The smaller triangle is a right triangle only for x = 10+√116.5 ≈ 20.794.
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Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.A charitable organization in Livingston is hosting a black tie benefit. Yesterday, the organization sold 21 regular tickets and 38 VIP tickets, raising $5,228. Today, 44 regular tickets and 58 VIP tickets were sold, bringing in a total of $8,792. How much do the different ticket types cost?
Let's use the variable x to represent the price of a regular ticket and the variable y to represent the price of a VIP ticket.
If 21 regular tickets and 38 VIP tickets cost $5228, we can write the following equation:
\(21x+38y=5228\)If 44 regular tickets and 58 VIP tickets cost $8792, we can write the following equation:
\(44x+58y=8792\)Now, to solve this system of equations, let's solve the first equation for x and then use its value in the second equation:
\(\begin{gathered} 21x=5228-38y \\ x=\frac{5228-38y}{21} \\ \\ 44\cdot(\frac{5228-38y}{21})+58y=8792 \\ 10953.9-79.619y+58y=8792 \\ -21.619y=8792-10953.9 \\ -21.619y=-2161.9 \\ y=100 \\ \\ x=\frac{5228-3800}{21} \\ x=\frac{1428}{21} \\ x=68 \end{gathered}\)Therefore the price of a regular ticket is $68 and the price of a VIP ticket is $100.
Tìm x biết: x+5x^2=0
x+1=(x+1)^2
Answer:
what type of question is this?
Dirk bought a set of stamps. The number of stamps in the set he bought is divisible by 2, 3, 5, 6, and 9. Which set is it?
Answer:
Germany - 90
Step-by-step explanation:
Here are the options to this question
Germany 90
Sweden 78
Japan 63
Canada 75
The appropriate answer should be a multiple of 2, 3, 5, 6, and 9. That is when the number is divided by 2, 3, 5, 6, and 9 it should have a remainder of zero.
90 / 2 = 45
90 / 3 = 30
90 / 5 = 18
90 / 6 = 15
90 / 9 = 10
Thus, the appropriate number is 90
When 78 is divided by 5 and 9, the remainder is not zero
When 63 is divided by 2, 5 and 6, the remainder is not zero
When 75 is divided by 2, 3, 6 and 9, the remainder is not zero
Given the dilation with a scale factor of 1/3, what is the m The measure of
Answer:
63°
Step-by-step explanation:
The angle values do not change when scaling a figure, only the side lengths change
it takes all the correlations found in studies of a particular relationship and calculates a weighted average, called by?
The weighted average of correlations found in studies of a particular relationship is called the meta-analytic correlation.
What is meta analysis?Meta-analysis is a statistical technique that combines the results of multiple studies to arrive at an overall estimate of the strength and direction of a relationship or effect. In meta-analysis, the meta-analytic correlation is typically calculated by weighting the individual study correlations by their sample sizes or other relevant factors, such as the precision of the measurement instrument or the quality of the study design.
Why do we choose an average?The average—the midpoint of the supplied data set—is established by adding together all the figures and dividing the sum by the quantity of statistics provided. The average value is the number with the most data display capacity. In our daily lives, the average computation frequently appears.
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You are planning to rent a condo. Your monthly rent will be $750, and your renters insurance will be $1,800 per year.
What is the adjusted monthly cost for renting this condo?
The adjusted monthly cost for renting this condo is $900.
How to calculate the adjusted monthly cost for renting the condo?To calculate the adjusted monthly cost for renting the condo, we need to convert the annual renters insurance premium to a monthly premium by dividing it by 12.
Monthly cost for renters insurance = $1,800 / 12 = $150
Adding the monthly rent and monthly renters insurance cost, we get:
Monthly cost for renters insurance = $1,800 / 12 = $150
Adjusted monthly cost = $750 + $150 = $900
Therefore, the adjusted monthly cost for renting this condo is $900.
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If a pet grooming salon hires an additional groomer, that worker can groom 4 additional pets per day. the average grooming fee is $25. the most the salon would be willing to pay that groomer is
The most the salon would be willing to pay that groomer is $25×4 = $100.
What is unitary method?The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.
Some key features regarding the unitary method are-
It's a method which we use for the majority of math calculations. This method will come in handy when answering questions about ratio & proportion, algebra, geometry, and other subjects.We can determine the missing value using the unitary method. For example, if one carton of juice pays $5, how much would five such packets cost? We can then easily determine the price of 5 packets, which is $25.To know more about the unitary method, here
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In a post office, the mailboxes are numbered from 1 to 4,500. These numbers represent О А categorical dataO B quantitative data O C e ither categorical or quantitative data. O D since the numbers are sequential, the data is quantitative.
The numbers on the mailboxes could be considered either categorical or quantitative data. The correct Option is C: Either categorical or quantitative data.
The numbers on the mailboxes can be considered either categorical or quantitative data, depending on the context in which they are being used.
If the numbers are simply labels for the mailboxes, with no inherent numerical value or order, then they can be considered categorical data. In this case, the numbers would be treated as labels for the different categories or groups, rather than as measurements with numerical significance.
On the other hand, if the numbers are being used to represent a quantity or a position in a sequence, then they can be considered quantitative data. For example, if the numbers represent the physical location of the mailbox within a building, or the order in which mail is sorted and delivered, then they can be treated as numerical measurements.
Therefore, without further context, the numbers on the mailboxes could be considered either categorical or quantitative data.
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In the figure particle 1 of charge q
1
=−4.90q and particle 2 of charge q
2
=+3.70q are fixed to an x axis. As a multiple of distance L, at what coordinate on the axis is the net electric field of the particles zero?
The net electric field of particle 1 and particle 2 will be zero at a coordinate on the x-axis that is a multiple of L/8.
The net electric field at a point on the x-axis due to particle 1 and particle 2 can be calculated using Coulomb's law:
Electric field due to particle 1: E1 = kq1/\(r1^{2}\)
Electric field due to particle 2: E2 = kq2/\(r2^{2}\)
Here, k is the electrostatic constant, q1 and q2 are the charges of particle
1 and particle 2 respectively, and r1 and r2 are the distances from the particles to the point on the x-axis.
To find the coordinate on the x-axis where the net electric field is zero, we need the magnitudes of E1 and E2 to be equal. Taking the magnitudes of the electric fields:
|E1| = |E2|
Using the expressions for E1 and E2:
k*|q1|/\(r1^{2}\) = k*|q2|/\(r2^2\)
Since the charges q1 and q2 are given as -4.90q and +3.70q respectively, and the magnitudes are equal:
(4.90q)/r = \(r1^2\)3.70q)/\(r2^2\)
Simplifying, we get:
\(r2^2\)/\(r1^2\) = 4.90/3.70
Taking the square root of both sides:
r2/r1 = \(\sqrt{(4.90/3.70)}\)
r2/r1 = sqrt\(\sqrt{(1.324)}\)
r2/r1 ≈ 1.150
Thus, the ratio of distances r2/r1 is approximately 1.150.
Since the particles are fixed to the x-axis, the distance between them is L, and the ratio r2/r1 is L/x, where x is the coordinate we are looking for.
Therefore, we have:
L/x ≈ 1.150
Solving for x, we find:
x ≈ L/1.150
Hence, the coordinate on the x-axis where the net electric field of the particles is zero is approximately L/1.150, or equivalently, a multiple of L/8.
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In a sale, the price of a book is reduced by 25%.
The price of the book in the sale is £12
Work out the original price of the book
Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book
Answer: £16
Step-by-step explanation:
To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.
75% of x = £12
To solve for x, we can set up the equation:
0.75x = £12
To isolate x, we divide both sides of the equation by 0.75:
x = £12 / 0.75
x = £16
Therefore, the original price of the book was £16.
Two planes are flying away from Toronto Pearson International Airport. The Air Canada
plane is flying with an average speed of 800 km/h in the direction of N30°W and the
British Airways plane is flying with an average speed of 750 km/h in the direction of
545°W. Assuming that the planes left at the same time, using different runways, how
far apart (to the nearest km) are the two planes after 90 minutes? N30°W means the angle
between north and west is 30° and 545°W the angle between south and west is 45°.
Please help ASAP!
Answer:
1832 miles
Step-by-step explanation:
First we need to find the angle between the routes of the planes.
If one is N30°W and the other is S45°W, we can find the angle between the routes with the following equation:
30 + angle + 45 = 180
angle = 105°
Then, we need to find the distance travelled by each plane, using the formula:
distance = speed * time
The time is 1.5 hours, so we have that:
distance1 = 800 * 1.5 = 1200 km
distance2 = 750 * 1.5 = 1125 km
Now, to find the distance between the planes, we can use the law of cosines:
distance^2 = 1200^2 + 1125^2 - 2*1200*1125*cos(105)
distance^2 = 3356214.43
distance = 1832 miles
ASAP PLEASE HELp!!! I WILL GIVE BRAINLEST!!!
Challenge-multistep:
Find the measure of arc AE
Answer:
Its 100
Step-by-step explanation:
I think <3 trust me on this shawty but not if its wrong
1.
A flagpole casts a 42-foot shadow. If the angle of elevation of the sun is 57. 4°, what is the height of the
flagpole?
Answer:nswer:56 ft.Step-by-step explanation:hope it helps you and thanks for the points
Step-by-step explanation:
PLSSS HELP ASAP DUE TMR MORNING
Step-by-step explanation:
Hey there!
Here;
Diameter (d) = 13 ft
Radius (r) = 13/2 = 6.5 ft
Now,
Area of a circle= πr²
= (22/7)*(6.5)²
= 132.78 ft²
Therefore, the area is 133 ft².
Hope it helps!
Step-by-step explanation:
Hey there!
Here;
Diameter (d) = 13 ft
Radius (r) = 13/2 = 6.5 ft
Now,
Area of a circle= πr²
= (22/7)*(6.5)²
= 132.78 ft²
Therefore, the area is 133 ft².
Hope it helps!
WILL MARK BRAINLIEST
On a coordinate plane, an absolute value graph has a vertex at (10, 6).
The graph of h (x) = StartAbsoluteValue x minus 10 EndAbsoluteValue + 6 is shown. On which interval is this graph increasing?
(–∞, 6)
(–∞, 10)
(6, ∞)
(10, ∞)
Answer:
(6, infinity) should be the answer.
Answer:
(10, ∞)
Step-by-step explanation:
Just took test. I got you bro
to solve the following equation , 7x - 2 = 12 , which of the choices below is a correct method to find the value of X
The Answer:the answer is D
Step-by-step explanation:
A bag contains only pink sweets, white sweets, green sweets and red sweets.
The table gives each of the probabilities that, when a sweet is taken at random from
the bag, the sweet will be green or the sweet will be red.
Answer:
Below
Step-by-step explanation:
Since : .35 x = 28 Given ( where x = total sweets)
x = 80 sweets total
28 are red ( given ) then 02. * 80 = green = 16
80 - 28 - 16 = 36 remaining
and are divided between pink : white in ratio of 2:1
pink are 2 out of (2+1) = 2/3
2/3 * 36 remaining = 24 pink
then 12 are white
What is the solution to the system of equations? 2x - 2y = -2; x + 3y = 15
Answer: x=3 and y=4
Step-by-step explanation:
Rewrite equations:
x+3y=15;2x−2y=−2
Step: Solve x+3y=15 for x:
x+3y=15
x+3y+−3y=15+−3y(Add -3y to both sides)
x=−3y+15
Step: Substitute−3y+15 for x in 2x−2y=−2:
2x−2y=−2
2(−3y+15)−2y=−2
−8y+30=−2(Simplify both sides of the equation)
−8y+30+−30=−2+−30(Add -30 to both sides)
−8y=−32
−8y over −8 = −32 over −8
(Divide both sides by -8)
y=4
Step: Substitute 4 for y in x=−3y+15:
x=−3y+15
x=(−3)(4)+15
x=3(Simplify both sides of the equation)