The product (k/3) x 12 is greater than 12 for values of k greater than 3.
To determine the values of k for which the product (k/3) x 12 is greater than 12, follow these steps:
Step 1: Set up the inequality:
(k/3) x 12 > 12
Step 2: Simplify the inequality by dividing both sides by 12:
(k/3) > 1
Step 3: Multiply both sides by 3 to solve for k:
k > 3
So, the product (k/3) x 12 is greater than 12 for values of k greater than 3.
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Celine flipped a coin 100 times. She
flipped heads 41 times and tails 59 times.
What is the experimental probability that
the next flip will be heads?
Answer:
1/2
Step-by-step explanation:
What is the answer to this problem ?
Answer: The correct answer is 14.
Step-by-step explanation: We have X and Y together, multiply that and get 10. Then we add Z which is 4 and it gets you 14.
T divided by -4 equals nine
Answer:
54
Step-by-step explanation:
what does domain and what does range mean in algebra :(
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. ... They may also have been called the input and output of the function.)
In its simplest form the domain is all the values that go into a function, and the range is all the values that come out.
Simplify. Show your work.
a. |5 - 7| =2
b. -3|11 - 15|=-12
Answer:
|5 - 7| =2
What you want to do first is to do the equation 5-7 which is -2 but there is an absolute value sign so 2.
-3|11 - 15|=-12
For this one it is a little more difficult but all you have to do is do the equation 11-15 which is -4 but there is an absoulte value sign so 4 you then multiply 4 by -3 which is -12 bam.
build an avl tree from the following values, which value(s) are identified as an alpha node? 35, 49, 22, 27, 64, 60
TheThe AVL tree built from the given values (which are 35, 49, 22, 27, 64, 60) is identified as an alpha node at value 49.
To build an AVL tree, we start by inserting the values in the order given: 35, 49, 22, 27, 64, 60. As we insert the values, the AVL tree automatically balances itself to maintain the AVL property. After inserting all the values, the resulting AVL tree would have nodes for each value.
Among these values, the alpha node is identified as the node with the value 49. The alpha node is a special node in the AVL tree that may require additional balancing operations to maintain the balance factor. In this case, the value 49 is identified as the alpha node in the constructed AVL tree.
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Identify the circumference of a circle with a diameter of 34 feet. Use 3.14 for π.
Circumference= diameter × 3.14
C= 34 feet× 3.14= 106.76 feet
Suppose a function y is defined implicitly in terms of the variable x. Find each of the following derivatives with respect to x. Enter your answers in terms of x,y, and dy/dx.
For example: if d/dx(3x+5y^2)=3+10y^4⋅dy/dx
(a) d/dx(6x+3y) =_____
(b) d/dx(5y^4+2x^3) =______
(c) d/dx(x^5y^4)= ______
(a) d/dx(6x+3y) = 6 + 3(dy/dx)
(b) d/dx(5y^4+2x^3) = 6x^2 + 20y^3(dy/dx)
(c) d/dx(x^5y^4) = 5x^4y^4(dy/dx) + 4x^5y^3
In each case, we can apply the chain rule of differentiation to find the derivative with respect to x. The chain rule states that if y is defined implicitly in terms of x, then the derivative of y with respect to x can be found by multiplying the derivative of y with respect to x by the derivative of x with respect to x (which is 1). This is represented as dy/dx.
In part (a), the derivative of 6x with respect to x is simply 6, as the derivative of a constant multiplied by x is the constant itself. For the term 3y, we apply the chain rule and multiply the derivative of y with respect to x (dy/dx) by 3. Therefore, the derivative of 6x+3y with respect to x is 6 + 3(dy/dx).
In part (b), the derivative of 5y^4 with respect to x is 0, as y^4 does not involve x. For the term 2x^3, the derivative with respect to x is 6x^2. Applying the chain rule to the term 2x^3, we multiply the derivative 6x^2 by the derivative of y with respect to x (dy/dx) for the term involving y. Therefore, the derivative of 5y^4+2x^3 with respect to x is 6x^2 + 20y^3(dy/dx).
In part (c), we have a product of two variables x^5 and y^4. Applying the product rule, the derivative of x^5y^4 with respect to x is given by 5x^4y^4(dy/dx) + 4x^5y^3. The first term results from differentiating x^5 with respect to x and multiplying it by y^4, and then multiplying it by dy/dx. The second term arises from differentiating y^4 with respect to x and multiplying it by x^5.
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PLEASE HELP ME ASAP THANK U!!
What is the distance from the pet store to the drug store to the nearest tenth?
Group of answer choices
65
8.1
8
Answer: The answer is 8.06.
Step-by-step explanation:
First, write the Pythagorean Theorem. c^2 = a^2 + b^2
Next, determine the values of (a,b,c) for the Pythagorean Theorem.
find the distance traveled in 15 seconds by an object traveling at a constant velocity of 20 feet per second
The distance covered by the object is 300 feet's.
We have - object traveling at a constant velocity of 20 feet per second.
We have to calculate the distance traveled in 15 seconds by the object.
What is the formula to calculate the distance covered by the object ?The distance covered by the object can be calculated using the formula -
d = v x t
Where -
v - it is the velocity of object
t - time taken by object
According to question -
v = 20 feet/sec
t = 15 seconds
Hence, the distance covered will be -
d = 20 x 15 = 300 feet's
Hence, the distance covered by the object is 300 feet's.
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In regression analysis, an outlier is an observation whose
a. residual is much larger than the rest of the residual values b. mean is zero c. residual is zero d. mean is larger than the standard deviation
a. residual is much larger than the rest of the residual values.
In regression analysis, an outlier refers to an observation that significantly deviates from the expected pattern or trend of the data. Specifically, it is an observation whose residual (the difference between the observed value and the predicted value) is much larger than the residuals of the other observations.
Outliers can have a considerable impact on the regression model, affecting the estimated coefficients and overall model fit. It is important to identify and assess outliers to determine if they are influential or if they should be treated or removed to ensure the reliability and validity of the regression analysis.
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Marcus is buying taco shells for a party. There will be 13 adults and 17 children
attending the party. He plans to make 3 tacos for each adult and 1 taco for each child.
There are 8 taco shells in each package. How many packages of taco shells will Marcus
need to buy in order to have enough tacos for the people attending the party?
A 7, because (13 x 3 + 17) + 8 = 7
B 28, because (13 x 17 + 3) = 8 = 28
C 80, because (13 + 17) x 8 = 3 = 80
D 15, because (13 + 17 x 4) + 8 = 15
Answer:
Tacos for adults: 13*3
Tacos for children: 17*1
Total: 39+17
=56
And in each package there will be 8 tacos
So, 56/8 = 7 = No. of tacos needed.
So the corrrect answer is A 7, because (13 x 3 + 17) + 8 = 7
If I work for $7.25 an hour and work for 35 day how much money do I make
Answer:
1776.25
Step-by-step explanation:
35x7=245. 245x7.25=1776.25
Answer:
35 x 24 = 840, 840 hours
840 x 7.25 = $6090 for 35 days
Step-by-step explanation:
Match the description of the concept with the correct symbol or term. Indicates a statistically significant result Choose the correct answer below:
μ ° C. Type I error O E. Type Il error OF. p-value< α
The concept with the correct symbol or term is p-value< α. Option F
How to determine the correct symbolThe p-value could be a degree of the quality of prove against the invalid theory. When the p-value is less than the foreordained importance level α (as a rule set at 0.05), it shows a measurably noteworthy result.
This implies that the observed data is impossible to have happened by chance alone in the event that the invalid theory is genuine.
However, rejecting the null hypothesis in favor of the alternative hypothesis is appropriate.
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Janice’s family grows tomato plants on a rectangular plot of land. The total area of the garden is ⅜ square meters, and the length of the rectangle representing this piece of land is ½ meters. What is the width of the garden?
Answer:
The correct answer is 3/4 meters.
Step-by-step explanation:
-We know that the area is 3/8 square meters
-And that the length is 1/2 meters
We need to find out what the width is.. But how?
Remember that, length x width is the key to finding the Area.
L x W = A
If we divide the Area by Length, we can find the missing width to this equation.
3/8 divided by 1/2
= 3/4
What is the factor of x³ 3x² 9x 5?
(x+1) & (x-5) are the factors of given equation.
The given Equation is,
x3- \(3x^{3}\) - 9
Substitute - Substitute means to put something in the place of another and in mathematics substitution means putting numbers in the place of letters. It is used to calculate the value of an expression.Here, If we substitute x =5, in the given equation, then we find
(5)3 - 3(5)3 - 9*5 -5 = 0
x-5 is factor of given equation to find another factor dividing given equation by x-5
we will get =(x2+2x+1) after dividing the equation by x - 5
Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)
=(x+2)2 (x-5)
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Pedro has $1500 in his savings account. He plans to
withdraw $75 each week. Maria has a savings account
with $1200. She plans to withdraw $50 each week. In
how many weeks will the accounts be equal?
Answer:
about 4 weeks
Step-by-step explanation
pedro: y = 1500 - 75x
Maria: y = 1200 - 50x
put y's equal to each other
1500-75x=1200-50x
-1200 -1200
300-75x=50x
+75x +75x
300 = 125x
/125 /125
x=3.78787878788
so about 4 weeks
Justin packed two suitcases for his trip and compared the weights of the items he packed in each of the suitcases. A number line goes from 0 to 36. Suitcase 1's whiskers range from 4 to 30, and the box ranges from 8 to 12. A line divides the box at 9. Suitcase 2's whiskers range from 2 to 20, and the box ranges from 5 to 18. A line divides the box at 7. Which statement is true about the box plots? The data for suitcase 1 have an outlier, but the data for suitcase 2 does not. The data for suitcase 2 have a greater median than the data for suitcase 1. The data for suitcase 1 has a greater interquartile range than the data for suitcase 2. The data for suitcase 2 has a greater range than the data for suitcase 1.
Answer:
The correct option is;
The data for suitcase 1 have an outlier but the data for suitcase 2 does not
Step-by-step explanation:
Range of a box plot
Interquartile range (IQR) for bot suitcases we have
Here we have for suitcase 1
IQR = Q₃ - Q₁ = 12 - 8 = 4
For suitcase 2
IQR = Q₃ - Q₁ = 18 - 5 = 13
Lower outlier = Q₁ - 1.5×IQR
Higher outlier = Q₃ + 1.5×IQR
For suitcase 1 we have;
Lower outlier = 8 - 1.5×4 = 2 (No lower outlier)
Higher outlier = 12 + 1.5×4 = 18
Hence, whereby the whiskers range from 4 to 30, suitcase 1 has a higher outlier
For suitcase 2 we have;
Lower outlier = 5 - 1.5×13 = -14.5 (No lower outlier)
Higher outlier = 18 + 1.5×13 = 37.5
Hence, whereby the whiskers range from 2 to 20, suitcase 2 has no outlier.
Therefore, the correct option is the data for suitcase 1 have an outlier but the data for suitcase 2 does not.
Answer:A
Step-by-step explanation:
took the test
how to find 90th percentile with mean and standard deviation
Answer:mean = 50
standard deviation = 10 (example answer)
Step-by-step explanation:
To find the 90th percentile using the mean and standard deviation, you can use the concept of the standard score (also known as the z-score). The z-score measures the number of standard deviations an individual data point is from the mean.
Here are the steps to find the 90th percentile:
Determine the z-score corresponding to the desired percentile. In this case, since you want the 90th percentile, the z-score will correspond to that percentile. You can find the z-score using a standard normal distribution table or a statistical calculator. For the 90th percentile, the z-score is approximately 1.28.
Use the formula for the z-score: z = (x - mean) / standard deviation. Rearrange the formula to solve for the desired value, x: x = (z * standard deviation) + mean.
Substitute the z-score and the given mean and standard deviation into the formula to find the value at the 90th percentile.
For example, let's say the mean is 50 and the standard deviation is 10. To find the value at the 90th percentile:
z = 1.28 (z-score for the 90th percentile)
mean = 50
standard deviation = 10
x = (1.28 * 10) + 50
x = 12.8 + 50
x = 62.8
Therefore, the value at the 90th percentile, given the mean of 50 and standard deviation of 10, is approximately 62.8.
and no boxes were removed, all the boxes in the warehouse were arranged in stacks of 14 boxes each, with no boxes left over. How many boxes were in the warehouse before the 60 additional boxes arrived
Answer:
360 boxes
Step-by-step explanation:
The number of boxes in the warehouse before 60 boxes were added is;
n = 12k .... equation 1
where k is the constant of the number of stacks and n is the number of boxes.
The number of boxes after the 60 boxes were added is;
n + 60 = 14k ... equation 2
substitute the value of n in equation 2 for equation 1:
12k + 60 = 14k
60 = 14k - 12k
60 = 2k
k = 60 / 2 = 30
The number of boxes in the warehouse before 60 boxes was added is;
n = 12 * 30 = 360
Simplify the following polynomial expression. (3x^(2)-x-7)-(5x^(2)-4x-2)+(x+3)(x+2) The polynomial simplifies to an expression that is ________ ________ a with a degree of ________.
To simplify the given polynomial expression, we can start by combining like terms.
First, let's simplify the first part of the expression: (3x^2 - x - 7) - (5x^2 - 4x - 2).
Combining like terms, we have: (3x^2 - 5x^2) + (-x + 4x) + (-7 - 2).
This simplifies to: -2x^2 + 3x - 9.
Next, let's simplify the second part of the expression: (x + 3)(x + 2).
Using the distributive property, we expand this expression: x(x + 2) + 3(x + 2).
Multiplying, we get: x^2 + 2x + 3x + 6.
Combining like terms, this simplifies to: x^2 + 5x + 6.
Now, we can combine the simplified parts of the expression:
(-2x^2 + 3x - 9) + (x^2 + 5x + 6).
Combining like terms, we get: -x^2 + 8x - 3.
Therefore, the simplified polynomial expression is: -x^2 + 8x - 3.
The degree of the polynomial is determined by the highest power of x in the expression. In this case, the highest power is 2 (x^2), so the degree of the polynomial is 2.
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The following are the ages (years) of 5 people in a room:
14,16,16,13,23
A person enters the room.
The mean age of the 6 people is now 21.
What is the age of the person who entered the room?
Answer:
44
Step-by-step explanation:
mean = (13+15+12+16+14+X)/6 = 19
70+X=19×6
X=114-70=44
18) 2(NH4)3PO4
# of
molecules:
# of
elements:
Name of element:
# of atoms:
Total # of atoms:
The #2 is a
(coefficient or subscript)
Answer:
3(14+4)+28+64 = 54+92 = 146 gm/mol
Step-by-step explanation:
Name of elements : 1) Nitrogen
2) hydrogen
3) phosphorus
4) oxygen
can someone help me please this is due tomorrow
Answer:
Step-by-step explanation:
Find fog, gf, and g * g. f(x) = 2x, g(x) = x² (a) fog (C) 9 9
The value of the expression is a. g(x) = x² b. fog(x) = 2x². c. g * g(x) = x^4.
To find the compositions of the functions:
Given:
f(x) = 2x
g(x) = x²
a) fog:
To find fog, we substitute g(x) into f(x):
fog(x) = f(g(x))
= f(x²)
= 2(x²)
= 2x²
Therefore, fog(x) = 2x².
c) g * g:
To find g * g, we substitute g(x) into itself:
g * g(x) = g(g(x))
= g(x²)
= (x²)²
= x^4
Therefore, g * g(x) = x^4.
Please note that gf was not specified in the question. If you provide the specific composition you want to find, I can assist you further.
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What value of x makes the expression -8x+32 equal to 0?
A.32
B.4
C.-4
D.-8
Which table shows exponential decay? A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 4, 2. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 128, 8, 4. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 12, 9, 7. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 3, 1.
Answer:
The first table; the first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 4, 2.
Step-by-step explanation:
Exponential decay means that the graph or table is exponentially decreasing. Meaning, if you went from point 4 to 1, you would see an exponential increase. Other tables show other forms of functions, such as quadratic, or linear. To find out which rate it is decaying by, ask yourself, at 0, what is the y output? You can then divide the output of 0 by 1, and so on. If it is decaying at a consistent rate, then you know it is exponential. If you do not need to divide, but know it is decaying at a rate of two, it is linear. If it does not divide the first time smoothly, it is quadratic. It could also be a number of things.
I hope this helps you. We studied this quite a while ago, and I do not remember the equation at the tip of my tongue, and I do not want to give you wrong information. Have a great rest of your day!
Answer:
the 1s options
1 16
2 8
3 4
4 2
Step-by-step explanation:
An initial investment is $4140. It grows at a rate of 7% a year. Interest is compounded daily. What is the value after 8 years? Round your answer to the nearest penny.
The value of the investment after 8 years is $4,826.55.
What is the value of the investment?When an investment grows at a rate compounded daily, it means that both the amount that was invested and the interest that has already been earned increases in value each day of the year.
The formula that can be used to determine the future value of an investment is:
FV = P (1 + r)^nm
Where:
FV = Future value P = Present value R = interest rate = 7/365 = 0.01918%m = number of compoundingN = number of years4140 x (1 + 0.001918)^(8 x 365)
4140 x (1.001918)^2920 = $4,826.55
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Can someone help me with this?
Answer:
\( {x}^{2} - 7x = 4\)
\( {x}^{2} - 7x - 4 = 0\)
a = 1, b = -7, c = -4
Find the value of x.
11
12
12
х
x = [?]
Answer:
i believe x=11
Step-by-step explanation:
if the top is 11 then the bottom is 11
the answer x is eleven(11)