Assume g and h are whole numbers, and g < h. Which expression has the least
value?
Answers
Answer:
\( \frac{ {g}^{4} {h}^{2} }{ g{h}^{6} } = \frac{ {g}^{3} }{ {h}^{4} } \)
because other values are 1, and this one is less, because g<h
Related Questions
create a graphic organizer under the topic of differential equations. the graphic organizer will show important relationships among the subtopics you learned about in this unit. you will submit this as a portfolio item at the end of this lesson. all the following key terms, along with a description of each topic, should be included in your graphic organizer. differential equation initial value problem general solution exact differential equation slope field indefinite integrals substitution methods for integration separable differential equations select the link to review the graphic organizer portfolio rubric to understand how you will be graded.
Answers
Here is a possible graphic organizer on the topic of differential equations.The following descriptions correspond to each subtopic included in the graphic organizer.
Differential Equation: an equation that involves an unknown function and its derivatives or differentials.Initial Value Problem: a type of differential equation that requires the solution to satisfy a given condition at a specific point.General Solution: a solution that contains arbitrary constants and includes all possible solutions of a differential equation.Exact Differential Equation.
a differential equation that can be solved by using an integrating factor that makes the left-hand side of the equation exact.
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Calculate the slope between the points (2,0) and (6, 7)
Answers
Answer:
slope = 1.75
Step-by-step explanation:
slope = Y2-Y1/X2-X1
= 7/4
= 1.75
please help asap!!
Which of the following choices will evaluate -(x^2), when x = -3?
a. 9
b. -9
c. -6
d. None of these choices are correct.
Answers
Answer:
d
Step-by-step explanation:
Tyler is making a bowl of punch for a party. The recipe that he is using requires 1 cup of sprite and 3
cups of red kool-aid.
Write the ratio of sprite to kool-aid, in 3 different ways.
Answers
Answer:
1:3 or 1/4 and 3/4
2:6
3:9
Step-by-step explanation:
Help me fast please I’m stuck
Answers
Answer
QR=22.22%
PQ=44.44%
RS=33.33%
Not RS= 77.78%
Explanation
Probability is about determining how much of a part takes up the whole. In this case, the whole is 18, because this is the total length.
For QR, the length of the segment is 4, so we can say 4/18 because the segment is 4 parts of the 18 total length.
To determine percent, we divide and multiply by 100%
4/18=0.2222*100%=22.22%
Similarly, PQ is 8 parts of the whole 18, so
8/18=0.4444*100%=44.44%
And RS is:
6/18=0.3333*100%= 33.33%
We can verify that we are correct by adding all these percentages together, knowing that they should equal 100%. Here, we add them and get 99.99%, which verifies we are correct. There is an error of .01% because we have been rounding.
Finally, the parts that are not RS are QR and PQ, so we must add QR and PQ to determine how many parts they are of the 18 whole.
QR+PQ= 14/18=0.7778*100%= 77.78%
Marco needs to buy some cat food. At the nearest store, 6 bags of cat food cost $28.50. How much would Marco spend on 5 bags of cat food?
Plz I need the answer
Answers
Answer:
$23.75
Step-by-step explanation:
divide $28.50 by 6 to find the price for 1 bag which is $4.75 then multiply $4.75 by 5 and that equals $23.75
Answer:
If I did the math correctly, the answer would be $23.75.
Have a good day! :D
Step-by-step explanation:
28.50 ÷ 6 = $4.75
So, 1 bag would cost $4.75.
4.75 x 5 = $23.75
Again answer this for real
Answers
Answer: 20/300 = 1/15
Hope this helps...
Have a great day.
What rational number in fraction form is equivalent to 0.15 ?
Answers
Answer:
0.15 as a fraction is 3/20
Step-by-step explanation:
after paying $9 for the pie Sally has $99 left how much money did she have before buying the pie
Answers
Sally pays $9 for a pie and has $99 left. Then, the money before buying the pie is represented by the sum of $9+$99
\(\begin{gathered} \text{money before the pie=\$9+\$99} \\ \text{money before the pie}=\text{\$}108 \end{gathered}\)Therefore, she had $108 before buying the pie.
what is the perimeter of a sector of a circle of radius 6cm with a sector angle of 35°?
Answers
Sector perimeter equals 2 radius plus arc length. The formula for calculating arc length is: arc length = l = (/360) 2 r. As a result, the sector's perimeter is equal to 2 Radius plus ((/360) 2r).
What does a sector's and a segment's perimeter mean?The perimeter of a form is its entire outer circumference. Using what we know about determining the length of an arc, we can get the perimeter of a sector. The intersection of two radii and an arc creates a sector. We must sum these values in order to determine the perimeter. Arc length plus two is the perimeter.
How do you calculate a circle's sector area?Sector area is easily calculated by multiplying the central angle by the radius squared and dividing by two: Sector Area is equal to r2 / 2.
When the sector angle = 360° , curved length of the arc = 2πR
Hence when the central angle = 80 degree, the curved length = (80/360x(2πR)
= 1.3963 R = 1.3963 * 6 = 8.3776 cm.
Hence the perimeter = R + R + 8.3776 = 20.3776 cm
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The perimeter of a rectangle is 36 cm and the length is twice the width. What are
the dimensions of this rectangle?
Width? _____ cm
Length? ____ cm
Answers
Answer:
Width __6___ cm
Length __12__ cm
Step-by-step explanation:
hello :
x : the width and y : Length P : the perimeter
P=2(x+y ) but : P=36cm and : y = 2x
36 = 2(x+2x)
36 = 2(3x)
6x =36 so : x=6 cm and y = 2×6=12cm
Step-by-step explanation:
If breadth is b,then length will be 2b,so
Perimeter=36
2(2b+b)=36
3b=18
b=6,so,l=2×6=12
So,length is 12 and breadth is 6,
Hope it helps…
A drug tester claims that a drug cures a rare skin disease
73% of the time. The claim is checked by testing the drug on 100 patients. If at least 71 patients are cured the claim will be accepted.
find the probability that the claim will be rejected assuming that the manufacturer's claim is true. use the normal distribution to approximate the binomial disribution if possible.
The probability is ______ (round to four decimal places)
Answers
the probability that the claim will be rejected assuming the manufacturer's claim is true is approximately 0.2489.
To find the probability that the claim will be rejected assuming the manufacturer's claim is true, we need to calculate the probability of having 70 or fewer patients cured out of 100.
First, we need to determine the mean (μ) and standard deviation (σ) of the binomial distribution.
For a binomial distribution, the mean (μ) is given by μ = n * p, where n is the number of trials (100 patients) and p is the probability of success (0.73).
μ = 100 * 0.73 = 73
The standard deviation (σ) of a binomial distribution is given by σ = sqrt(n * p * (1 - p)).
σ = sqrt(100 * 0.73 * (1 - 0.73)) = sqrt(100 * 0.73 * 0.27) = sqrt(19.71) ≈ 4.44
Next, we will use the normal distribution to approximate the binomial distribution. Since the sample size is large (n = 100) and both np (100 * 0.73 = 73) and n(1 - p) (100 * 0.27 = 27) are greater than 5, the normal approximation is valid.
We want to find the probability of having 70 or fewer patients cured, which is equivalent to finding the cumulative probability up to 70 using the normal distribution.
Using the z-score formula:
z = (x - μ) / σ
For x = 70:
z = (70 - 73) / 4.44 ≈ -0.6767
Now, we can use a standard normal distribution table or a calculator to find the cumulative probability up to z = -0.6767.
The cumulative probability P(X ≤ 70) is approximately 0.2489.
Therefore, the probability that the claim will be rejected assuming the manufacturer's claim is true is approximately 0.2489.
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Yo pls help me out, the question is on the picture.
ill mark brainliest if its correct. NO LINKS!
Answers
The diameter of a hydrogen atom is about 1.05 cross times 10 to the power of negative 10 end exponentmeters. a protein molecule has an overall length of 3000 times (or 3 cross times 10 cubed times) the diameter of a hydrogen atom. what is the length of the protein molecule, in meters, if it were written in scientific notation?
Answers
The length of the protein molecule, in meters, is 208 × 10⁻⁹m.
What is an atom?An atom is a matter particle that defines a chemical element uniquely. An atom is made up of a central nucleus and one or more negatively charged electrons. The nucleus is positively charged and contains one or more protons and neutrons, which are relatively heavy particles.To find the length of the protein molecule:
Diameter of hydrogen atom = 104 × 10⁻¹⁰m
We are given that A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom.
Length of protein molecule = 2000 × Diameter of the hydrogen atomLength of protein molecule = 2 × 10⁺³ × 1.04 × 10⁻¹⁰Length of protein molecule = 2 × 1.04 × 10⁻¹⁰⁺³Length of protein molecule = 2 × 1.04 × 10⁻⁷Length of protein molecule = 2.08 × 10⁻⁷Length of protein molecule = 208 × 10⁻⁷⁻²Length of protein molecule = 208 × 10⁻⁹mTherefore, the length of the protein molecule, in meters, is 208 × 10⁻⁹m.
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The correct question is given below:
The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?
What does find the mean of these numbers mean?.
Answers
The mean of the numbers means that it is average of the given numbers.
According to the question,
We have the following information:
Mean of the numbers
We know that the mean of a given data set means that we add all the numbers in data set and divide the obtained result by the total numbers.
For example, we have a following data set:
2,5 and 8
Total numbers in the set = 3
Now, the mean of these numbers will be:
Mean = (2+5+8)/3
Mean = 15/3
Mean of the numbers = 5
So, in other words, it can be expressed as the average of the numbers.
Hence, the mean of the numbers means that it is average of the given numbers.
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1) Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. (If an answer does not exist, enter DNE.)
f(x, y) = 5x^2 + 5y^2; xy = 1
2) Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)
f(x, y, z) = x + 2y; x + y + z = 6, y^2 + z^2 = 4
Answers
The maximum and minimum values for given function f(x, y) = 5x² + 5y² subject to xy = 1 are both 10. The extreme values of f(x, y, z) = x + 2y; x + y + z = 6, y² + z² = 4 subject to both constraints are 7 and -4.
We can use Lagrange multipliers to find the maximum and minimum values of f(x, y) subject to the constraint xy = 1.
First, we set up the Lagrange function
L(x, y, λ) = 5x² + 5y² + λ(xy - 1)
Then, we take partial derivatives of L with respect to x, y, and λ and set them equal to 0
∂L/∂x = 10x + λy = 0
∂L/∂y = 10y + λx = 0
∂L/∂λ = xy - 1 = 0
Solving these equations simultaneously, we get
x = ±√2, y = ±√2, λ = ±5/2√2
We also need to check the boundary points where xy = 1, which are (1, 1) and (-1, -1). We evaluate f at these points and compare them to the values we get from the Lagrange multipliers.
f(√2, √2) = 10, f(-√2, -√2) = 10
f(1, 1) = 10, f(-1, -1) = 10
So the maximum and minimum values of f(x, y) subject to xy = 1 are both 10.
We can use Lagrange multipliers to find the extreme values of f(x, y, z) subject to both constraints.
First, we set up the Lagrange function
L(x, y, z, λ, μ) = x + 2y + λ(x + y + z - 6) + μ(y² + z² - 4)
Then, we take partial derivatives of L with respect to x, y, z, λ, and μ and set them equal to 0
∂L/∂x = 1 + λ = 0
∂L/∂y = 2 + λ + 2μy = 0
∂L/∂z = λ + 2μz = 0
∂L/∂λ = x + y + z - 6 = 0
∂L/∂μ = y² + z² - 4 = 0
Solving these equations simultaneously, we get
x = -1, y = 2, z = 3, λ = -1, μ = -1/2
x = 3, y = -2, z = -1, λ = -1, μ = -1/2
We also need to check the boundary points where either x + y + z = 6 or y² + z² = 4. These points are (0, 2, 2), (0, -2, -2), (4, 1, 1), and (4, -1, -1). We evaluate f at these points and compare them to the values we get from the Lagrange multipliers.
f(-1, 2, 3) = 7, f(3, -2, -1) = -1
f(0, 2, 2) = 4, f(0, -2, -2) = -4
f(4, 1, 1) = 6, f(4, -1, -1) = 2
So the maximum value of f subject to both constraints is 7, which occurs at (-1, 2, 3), and the minimum value of f subject to both constraints is -4, which occurs at (0, -2, -2).
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Suppose we randomly select a coffee drinker. Let C be the event that the coffee drinker uses cream and S be the event that the coffee drinker uses sugar. What is the probability that a randomly selected coffee drinker does not use sugar or cream
Answers
The probability that a randomly selected coffee drinker does not use sugar or cream is \(1 - p^2.\)
To find the probability that a randomly selected coffee drinker does not use sugar or cream, we need to find the probability of the complement of the event (C or S).
That is, we need to find the probability of the coffee drinker not using cream and not using sugar.
We can use the formula P(not C and not S) = P(not C) * P(not S|not C),
where P(not C) is the probability of not using cream and P(not S|not C) is the conditional probability of not using sugar given that the coffee drinker does not use cream.
Since we do not have any information about the probabilities of using cream and sugar, we cannot find the exact probabilities.
However, we can assume that the probabilities are equal and use the complement rule, which states that P(not C or not S) = 1 - P(C and S).
Since we do not have any information about the joint probability of using cream and sugar, we can assume that the events C and S are independent. Therefore, P(C and S) = P(C) * P(S).
Assuming that P(C) = P(S) = p, we have P(not C or not S) = 1 - P(C and S) \(= 1 - p^2\)
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A farmer decides to start selling his goats at a constant rate per month. After seven months, he has 280 goats left. After eleven months, he has 224 goats left.
Answers
If the farmer plotted a straight line graph of how many goats he had left over time, the slope of the line would be -14.
To find the slope of the line representing the number of goats the farmer has over time, we need to use the formula:
slope = (y2 - y1) / (x2 - x1)Where y2 and y1 are the number of goats the farmer has at the end of two different months, and x2 and x1 are the number of months that have passed since he started selling the goats.
In this case:
y2 = 224 (goats left after 11 months)y1 = 280 (goats left after 7 months)x2 = 11 (months)x1 = 7 (months)So the slope of the line is:
slope = (224 - 280) / (11 - 7)slope = -56 / 4 slope = -14The slope of the line is -14, which means that the number of goats the farmer has decreases by 14 goats per month.
It's important to note that when the value of the slope is negative, it means that the line is going down; this means that the farmer is selling goats at a constant rate.
This question is incomplete and should be written as:
A farmer decides to start selling his goats at a constant rate per month. After seven months, he has 280 goats left. After eleven months, he has 224 goats left. If the farmer made a straight line graph representing how many goats he had left over time, what would be the slope of the line?Learn more about linear equation here: brainly.com/question/14323743
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Find the common ratio for this geometric sequence.
0.25, 1.25, 6.25, 31.25, ...
A.
0.20
B.
1
C.
–5
D.
5
Answers
Answer:
D) 5
====================
Given GP: 0.25, 1.25, 6.25, 31.25, ...To findThe common ratio of this GPSolutionThe common ratio is the constant factor between consecutive terms, that is:
r = 31.25/6.25 = 6.25/1.25 = 1.25/0.25 = 5Correct choice is D.
Can someone give me some help??
Answers
Answer:
OPtion B)
Step-by-step explanation:
Answer: Choice C)
y < (-1/5)x + 1
The boundary line is y = (-1/5)x+1 as it goes through the points shown. The boundary line is dashed or dotted, meaning that points on this boundary line are not in the solution set. So we will not have an "or equal to" as part of the inequality sign. More specifically, the inequality sign is "less than" because we shade below the boundary line. So that's how we end up with y < (-1/5)x+1.
11) Use a linear approximation (or differentials) to estimate the given number. (2.001)^5
Answers
Therefore, using the linear approximation, we estimate that (2.001)⁵ ≈ 32.016.
We can use the linear approximation to estimate the given number by using the following formula:
f(x + Δx) ≈ f(x) + f'(x)Δx
where Δx is a small change in x, f'(x) is the derivative of the function f(x), and f(x + Δx) is the approximate value of the function for x + Δx.
In this case, we can let f(x) = x⁵, x = 2, and Δx = 0.001. Then,
f'(x) = 5x⁴
So,
f(2.001) ≈ f(2) + f'(2)Δx
f(2.001) ≈ 2⁵ + 5(2⁴)(0.001)
f(2.001) ≈ 32.016
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what to do for 20 points if not wrong
Answers
Answer:
B can make tons more
Step-by-step explanation:
1/9 123456789 (+9)
multiples of 11 11 22 33 44 55 66 77 88 99 (+9)
9+9=18
A=18
B=
213
438
SO MANY MORE
B=more
A random number generator is used to create a list of 300 single-digit numbers. Of those 300 numbers, 146 are odd
and 154 are even. The number 8 was generated 22 times.
What is the experimental probability of an even number other than 8 being generated? Write your answer as a
decimal to the nearest hundredths place.
O 0.23
O 0.35
O 0.44
O 0.52
Answers
…………………….
The experimental probability of an even number other than 8 being generated is, 0.44
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
Total number of numbers = 300
Number of even numbers = 154
Number of eight = 22
Hence, Number of even numbers other than 8 is,
154 - 22 = 132
Thus, Probability is,
= [number of even numbers other than eight] / [total number of numbers]
= 132/300
= 0.44
Thus, The experimental probability of an even number other than 8 being generated is, 0.44
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Geometry end of year review escape room: room A
Answers
I need help. I need it by January 27.
Answers
Answer:
4. 11 = c
5. t = 26
7. y = 6
8. a = 8.7
9. 7.8 = w
(sorry I can just help with this ones)
Answer:
4. 11=c
5.t=26
7.y=6
8.a=8.7
9.7.8=w
10.d=1/2
11.m=7/9
12.b=6/5
Step-by-step explanation:
y-intercept 2x-5y=35
Answers
Answer:
y=2/5x-7
Step-by-step explanation:
2x−5y=35
Step 1: Add -2x to both sides.
2x−5y+−2x=35+−2x
−5y=−2x+35
Step 2: Divide both sides by -5.
-5y/5=-2x+35/-5
y=2/5x-7
yo factor x6 - 2x4 + x2 - 2.
( x2 + 2)( x4 - 1)
x4 ( x2 - 2)
( x4 + 1)( x2 - 2)
Answers
Answer:
(x4+1)(x2-2)
Step-by-step explanation:
x6-2x4+x2-2
separate them into two different expressions
(x6-2x4)+(x2-2)
factor out the common factor for each expression. For (x6-2x4), it would be x4, and for (x2-2), it would just be 1
x4(x2-2)+1(x2-2)
since there both expressions have the same factor, you can do a reverse of the distribution property and factor it like
(x4+1)(x2-2)
Answer:
(x4+1)(x2-2)
Step-by-step explanation:
Find the measure of one exterior angle for the following regular polygon
Answers
Given the graph below, locate the points of the reflection over the x-axis.
Answers
Answer:
Answer:
A: (1,3)
A': (1,-3)
---
B: (5,1)
B': (5,-1)
---
C: (-2,2)
C': (-2,-2)
---
D: (-5,4)
D': (-5,-4)
The reflection of the given points over the x-axis is:
(-5, -4), (-2, -2), (1, -3), (5, -1)
What is Coordinate Geometry?By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related.
As per the given data:
We are given a graph, and we have to find the reflection of the points in the graph over the y-axis.
From the graph given, the points are as as follows:
Let's assume the points as A, B, C and D
A = (-5, 4)
B = (-2, 2)
C = (1, 3)
D = (5, 1)
The reflection over the x-axis are as follows:
A' = (-5, -4)
B' = (-2, -2)
C' = (1, -3)
D' = (5, -1)
Hence, the reflection of the given points over the x-axis is:
(-5, -4), (-2, -2), (1, -3), (5, -1)
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The area of a rectangle is 48 square feet with a length of 8 feet. Solve the equation 8W=48 to find the width of the rectangle.
A. W= 40 feet
B. W= 16 feet
C. W= 8 feet
D. W = 6 feet
Answers
Answer:
b=w+8cm because it is longer.
Therefore A= w(w+8)=48
Answer: w(w+8)=48.
Step-by-step explanation: