What fraction of an hour is 45 minutes?
Give your answer in its simplest form.
Answer:
3/4
Step-by-step explanation:
1 hour is 60 minutes
45 minutes
---------------------
60 minutes
Divide top and bottom by 15
3
----
4
derivative of 1/(1+e^-x)
Answer:
hope this helps.
Step-by-step explanation:
Find all of the quadratic residues of each of the following integers. a)3, b)5, c) 13, d) 19.
The quadratic residues for the given integers are as follows: a) For the integer 3, the quadratic residues are 0 and 1.
b) For the integer 5, the quadratic residues are 0 and 1.
c) For the integer 13, the quadratic residues are 0, 1, 3, 4, 9, and 10.
d) For the integer 19, the quadratic residues are 0, 1, 4, 5, 6, 7, 9, 11, 16, and 17.
In number theory, a quadratic residue of an integer n is an integer x such that there exists an integer y satisfying x^2 ≡ y (mod n), where "≡" denotes congruence.
To find the quadratic residues of a given integer, we can calculate the square of each integer between 0 and n-1 (inclusive) and check if the result is congruent to a residue modulo n.
For example, let's consider the integer 13. We calculate the squares of integers from 0 to 12:
0^2 ≡ 0 (mod 13)
1^2 ≡ 1 (mod 13)
2^2 ≡ 4 (mod 13)
3^2 ≡ 9 (mod 13)
4^2 ≡ 3 (mod 13)
5^2 ≡ 12 (mod 13)
6^2 ≡ 10 (mod 13)
7^2 ≡ 10 (mod 13)
8^2 ≡ 12 (mod 13)
9^2 ≡ 3 (mod 13)
10^2 ≡ 9 (mod 13)
11^2 ≡ 4 (mod 13)
12^2 ≡ 1 (mod 13)
From these calculations, we can see that the quadratic residues of 13 are 0, 1, 3, 4, 9, and 10.
Similarly, we can apply this process to the other given integers (3, 5, and 19) to determine their quadratic residues.
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-9 is greater than
a. -10
b. -7
c. -6
d. -9
e. 0
please help me
what is 4 radians converted to degrees? if necessary, round your answer to the nearest degree. 13° 45° 229° 720°
4 radians is equal to 299 degree after rounding it to the nearest degree.
Here we have to convert 4 radians into degree.
To convert radians to degrees,
We can use the formula:
degrees = radians x 180 /π
Where π is approximately 3.14.
So, if we substitute 4 radians into the formula, we get:
degrees = 4 x 180 / 3.14
degrees = 229.29
To round this to the nearest degree,
We look at the decimal part:
0.29 is less than 0.50, so we round down.
Therefore, the answer is 229 degrees.
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How many different possible outcomes are there when jillana spins the spinner below and then flips the coin? a spinner with 6 equal sections labeled 1 through 6. a penny. 2 6 8 12
Answer:
12
Step-by-step explanation:
6 X 2
the 6 sides of the spinner and the two faces of the coin
Answer: 36
Step-by-step explanation:
I just took the test on Edge :)
What must be added to
2x² - 3 xy + 5yz to get x² - xy + y²
Answer:
-x² + y² + 2xy - 5yzStep-by-step explanation:
"A" must be added to first expression to get the second one:
A + 2x² - 3 xy + 5yz = x² - xy + y²A = ?------------------------
A = x² - xy + y² - (2x² - 3 xy + 5yz) =x² - xy + y² - 2x² + 3 xy - 5yz=-x² + y² + 2xy - 5yzHelp w this pls it would save me
Pleasereeee
Answer:
0.6 over 0.6. Or just 1.
Step-by-step explanation:
Im horrible at these :( 2(x - 3) + 1 = 3x + 4
Step-by-step explanation:
is it helpful if helpful follow me
If f(x) = 25 - x^2 and g(x) = x + 5 what is (f/g)(x)? write your answer in simplest form. When f(x) = 25 - x^2 and g(x) = x + 5, (f/g)(x)= __
In order to divide a couple of functions, we simply divide their equations:
if f(x) = 25 - x²
and g(x) = x + 5
then
\(\begin{gathered} \frac{f}{g}(x)=\frac{f(x)}{g(x)} \\ \downarrow \\ \frac{f}{g}(x)=\frac{25-x^2}{x+5} \end{gathered}\)Simplifying the expressionIn order to simplify the fraction we just factor the numerator:
25 - x² = (5 + x) (5 - x)
then
\(\frac{f}{g}(x)=\frac{(5+x)(5-x)}{x+5}\)Since
5 + x = x + 5
we can cancel this factor from the denominator:
then,
\(\frac{f}{g}(x)=5-x\)Answer: (f/g)(x) = 5 - x
Find the value of k k for which the constant function x ( t ) = k x(t)=k is a solution of the differential equation 8 t 3 d x/d t + 4 x+7 = 0 8t3dxdt 4x 7=0 .
The value of k for which the constant function x(t) = k is a solution of the differential equation 8t^3(dx/dt) + 4x + 7 = 0 can be determined by substituting function into the equation and solving for k. k is equal to -7/4
When x(t) = k, the derivative dx/dt is zero since k is a constant. Plugging these values into the differential equation, we have 8t^3(0) + 4k + 7 = 0.Simplifying the equation, we find that 4k + 7 = 0. Solving for k, we subtract 7 from both sides and divide by 4, yielding k = -7/4.
Therefore, the value of k for which the constant function x(t) = k is a solution of the given differential equation is k = -7/4.The derivative dx/dt is zero since k is a constant. Plugging these values into differential equation, we have 8t^3(0) + 4k + 7 = 0 This means that when k is equal to -7/4, the constant function satisfies the differential equation.
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A box, in the shape of a rectangular prism, has a length of 3 1 2 inches, a width of 4 inches, and a height of 10 inches. What is the volume of the box?
Answer:
If u mean 312 inches then the answer is 12480in^3
Step-by-step explanation:
To solve volume do LxWxH which is Length times width time height.
Simplify and write in exponential forms
The algebraic expression (2³)(2⁵2⁰x⁵/3²x³y⁴) can be simplified to give 2⁸x²/3²y⁴, which makes the last option correct.
Simplifying Algebraic expressionSimplification of an algebraic expressions is the process of writing an expression in the most efficient and compact way, that is in their simplest form, without changing the value of the original expression.
Simplifying the algebraic expression we have;
(2³)(2⁵2⁰x⁵/3²x³y⁴) = (2³ × 2⁵ × 2⁰ × x⁵)/(3² × x³ × y⁴)
(2³)(2⁵2⁰x⁵/3²x³y⁴) = (2³ × 2⁵ × 1 × x⁵)/(3² × x³ × y⁴)
2⁰ = 1 and x⁵/x³ = x², so;
(2³)(2⁵2⁰x⁵/3²x³y⁴) = (2⁸ × x²)/(3³ × y⁴)
(2³)(2⁵2⁰x⁵/3²x³y⁴) = 2⁸x²/3²y⁴
Therefore, the algebraic expression (2³)(2⁵2⁰x⁵/3²x³y⁴) can be simplified to give 2⁸x²/3²y⁴
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If CD=9 and DE= 15. AB = 20, what is the length of AD?
Answer:
12
Step-by-step explanation:
Please answer asap!!!!!!!!!!!!!
Answer:
the last one
Step-by-step explanation:
Both are used then the sencond is used as well
The sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg}. After identifying the sample space for a couple having four children, find the probability of getting four girls and no boys.
Identify the sample space for a couple having four children.
(Use a comma to separate answers as needed. )
A 0.25 = 25% probability of having three females and one guy is discovered using probability & sample space ideas (in any order ).
The set containing all potential outcomes is known as the sample space.
The proportion of intended results in the sample space multiplied by the total of possibilities is the probability estimated from the sample space.
The sample space for 4 kids is provided by:
B - B - B - B
B - B - B - G
B - B - G - B
B - B - G - G
B - G - B - B
B - G - B - G
B - G - G - B
B - G - G - G
G - B - B - B
G - B - B - G
G - B - G - B
G - B - G - G
G - G - B - B
G - G - B - G
G - G - G - B
G - G - G - G
There are 16 possibilities.
There are 3 girls and 1 guy in the four groups, which are B-G-G-G, G-B-G-G, G-G-B-G, & G-G-G-B.
In other words, the likelihood of having three girls & one male is 25% when p = D T = 4 16 = 0.25 0.25 (in any order).
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Help me please I don’t understand it
Answer:
Your answer is 1120.
Hope that this is helpful. Vote and likhe it
which of the brics has one of the youngest populations in the world, with an average age of 28.1 years?
India has one of the youngest populations in the world, and this demographic dividend has the potential to drive the country's economic growth in the coming years.
The BRICS (Brazil, Russia, India, China, and South Africa) are a group of five major emerging economies that are expected to play a significant role in the world economy in the coming years. Among these countries, India is known to have one of the youngest populations in the world, with an average age of 28.1 years.
India has a population of approximately 1.3 billion people, and it is projected to become the world's most populous country by 2027. The country has a large youth population, with about 50% of its population below the age of 25 and around 65% below the age of 35. This young population has the potential to be a significant asset for the country's economic growth, provided that adequate employment opportunities are created.
The youth in India are increasingly educated and tech-savvy, and they are playing a vital role in the country's growth story. India has a growing middle class, and this group of young, educated, and skilled individuals is driving the country's consumption story. The government of India has also launched several initiatives to harness the potential of the youth, such as Skill India, Make in India, and Digital India, to name a few.
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consider the first six terms
in the sequence -11,-4, 3, 10, 17,24
Answer:
Next term is 31
Step-by-step explanation:
The numbers keep going up by 7.
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find the peridicular slope to (2,-5);6x-4y=20
Answer:
That's it
First, find 2 points by replacing x with a number to find y. After, locate the point in the graph then draw the slope.
In the given figure ABCD, prove that
angleBCD= angleBAD+ angle ABC+angle ADC.
[Hint: Join A and C then extended AC to the point E]
We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.
To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:
Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.
Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.
Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).
Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.
Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).
Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.
Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.
Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.
Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.
Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.
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Given: Quadrilateral \(\displaystyle\sf ABCD\)
To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)
Proof:
1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).
2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).
3. In triangle \(\displaystyle\sf ACD\):
- \(\displaystyle\sf \angle ACD = \angle BAD + \angle ADC\) (Angles of a triangle add up to \(\displaystyle\sf 180^\circ\)).4. In triangle \(\displaystyle\sf BCE\):
- \(\displaystyle\sf \angle BCE = \angle BAD + \angle ABC\) (Angles of a triangle add up to \(\displaystyle\sf 180^\circ\)).5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):
- \(\displaystyle\sf \angle BCE = \angle BCD\).6. Combining the equations from steps 3 and 4:
- \(\displaystyle\sf \angle BCD = \angle ACD = \angle BAD + \angle ADC\). - \(\displaystyle\sf \angle BCD = \angle BCE = \angle BAD + \angle ABC + \angle ADC\).Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
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In the diagram, line m is parallel to line n.
What is the measure, in degrees, of angle ABC?
Answer:
m∠ABC = 55°
Step-by-step explanation:
m∠BAC = 50° because ∡BAC ≅ ∡DCA
since there are 180° in ΔABC the m∠ABC = 180-(75+50) which equals 55°
Corey scored 85, 89, 87, 92, and 98 on his math tests. What is the mean of Corey’s test scores
Answer:
85+89+87+92+98
451/5
90.2
The mean of Corey’s test scores is 90.2
What is Arithmetic Mean?The simplest method to determine the average for the given collection of integers is to use the arithmetic mean or mean. It is divided into two categories: weighted arithmetic mean and plain arithmetic mean.
The ratio of the total number of observations divided by the sum of all the given observations is known as the arithmetic mean.
We have,
Corey scored 85, 89, 87, 92, and 98 on his math tests.
So, arithmetic Mean
= (Sum of scores)/ Total number of score
= (85 + 89 + 87 + 92+ 98)/5
= 90.2
Thus, the Mean is 90.2
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Consider the following lottery: P=(1,p 1
;2,p 2
;3,p 3
) (a) Jack is an expected utility maximizer and his utility function is u(1)=1,u(2)=2,u(3)=3. In the probability (Marchak-Machina) triangle with p 1
on the horizontal and p 3
on the vertical axis, sketch a indifference curve for Jack. What is the slope of this curve? (b) Alice is an expected utility maximizer and her utility function is u(1)=1,u(2)=4,u(3)=6. Does Alice prefer receiving 2 for sure or a 50:50 gamble between 1 and 3 ? (c) In the same probability triangle sketch an indifference curve for Alice. What is the slope of this curve? (d) Bob is also an expected utility maximizer and his utility function is u(1)=9,u(2)=12,u(3)=18. Does Bob prefer receiving 2 for sure or a 50:50 gamble between 1 and 3 ? (e) In the same probability triangle sketch an indifference curve for Bob. What is the slope of this curve? (f) Infer a general principle from your findings in (a)-(e) above. Instead of the numbers for consequences and utilities, use general symbols x 1
for the monetary reward amounts, and u(x 1
),u(x 2
),u(x 3
) for their utilities. Find the equations for the curves of constant expected value and of constant expected utility. Find a condition involving the x=(x 1
,x 2
,x 3
) and the u under which the latter curves are steeper. Express this condition in a way that tells you something about this person's attitude toward risk.
(a) For Jack, with the utility function u(1) = 1, u(2) = 2, and u(3) = 3, the indifference curve represents combinations of probabilities (p1, p3) that yield the same utility level for Jack. Since Jack's utility increases with the outcome value, the indifference curve will be upward sloping.
To sketch the indifference curve for Jack, we connect the points (p1, p3) that yield the same utility level. The specific shape of the indifference curve depends on the utility function and the values of p1 and p3. However, since the utility values increase linearly, the indifference curve will be a straight line. The slope of this indifference curve can be calculated as the change in p3 divided by the change in p1. Since the utility function is linear, the slope will be constant. The slope of the indifference curve is given by (change in p3)/(change in p1) = (u(3) - u(1))/(u(2) - u(1)) = (3 - 1)/(2 - 1) = 2.
(b) For Alice, with the utility function u(1) = 1, u(2) = 4, and u(3) = 6, we can compare the expected utilities to determine her preference.
The expected utility of receiving 2 for sure is u(2) = 4.
The expected utility of a 50:50 gamble between 1 and 3 is (1/2)u(1) + (1/2)u(3) = (1/2)(1) + (1/2)(6) = 3.5.
Since the expected utility of receiving 2 for sure (4) is greater than the expected utility of the 50:50 gamble (3.5), Alice prefers receiving 2 for sure.
(c) To sketch the indifference curve for Alice, we connect the points (p1, p3) that yield the same utility level according to her utility function u(1) = 1, u(2) = 4, and u(3) = 6. Similar to Jack, the indifference curve will be upward sloping since Alice's utility increases with the outcome value.
The slope of this indifference curve can be calculated as (u(3) - u(1))/(u(2) - u(1)) = (6 - 1)/(4 - 1) = 5/3.
(d) For Bob, with the utility function u(1) = 9, u(2) = 12, and u(3) = 18, we can compare the expected utilities.
The expected utility of receiving 2 for sure is u(2) = 12.
The expected utility of a 50:50 gamble between 1 and 3 is (1/2)u(1) + (1/2)u(3) = (1/2)(9) + (1/2)(18) = 13.5.
Since the expected utility of the 50:50 gamble (13.5) is greater than the expected utility of receiving 2 for sure (12), Bob prefers the 50:50 gamble.
(e) To sketch the indifference curve for Bob, we connect the points (p1, p3) that yield the same utility level according to his utility function u(1) = 9, u(2) = 12, and u(3) = 18. Similar to Jack and Alice, the indifference curve will be upward sloping.
The slope of this indifference curve can be calculated as (u(3) - u
(1))/(u(2) - u(1)) = (18 - 9)/(12 - 9) = 3.
(f) The findings in parts (a) to (e) demonstrate that individuals' attitudes toward risk differ based on their utility functions. The slope of the indifference curve represents the marginal rate of substitution between the probabilities of different outcomes. Steeper indifference curves indicate a higher marginal rate of substitution and imply a higher aversion to risk.
In general, for a person with a utility function u(x1), u(x2), u(x3) and outcome values x=(x1, x2, x3), the equation for the curve of constant expected value is:
x1p1 + x2p2 + x3p3 = E
where E is the expected value.
The equation for the curve of constant expected utility is:
\(u(x1)p1 + u(x2)p2 + u(x3)p3 = U\)
where U is the constant expected utility level.
The condition for the indifference curve to be steeper, indicating higher risk aversion, is:
u''(x) > 0
This condition implies that the second derivative of the utility function with respect to the outcome values is positive, indicating diminishing marginal utility and higher risk aversion.
Please note that the equations and conditions provided are based on general principles and can be applied to utility functions and outcomes in various decision-making scenarios.
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Find the distance between the points given below. Round your answer to the nearest tenth.
A (0,6) and B (-3,-1)
Answer:
7.6
Step-by-step explanation:
We want to find the distance between (0,6) and (-3,-1)
We can find the distance between any two points using the distance formula
Distance between two points =
\( \sqrt{(x2 - x1)^{2} +(y2 - y1) {}^{2} } \)
Where the values of x and y are derived from the the two points. (x1,y1) and (x2,y2)
Here the two points are (0,6) and (-3,-1)
So we have (x1,y1) = (0,6) so x1 = 0 and y1 = 6
And we have (x2,y2) = (-3,1) so x2 = -3 and y2 = -1
Now we plug in the values of x and y into the formula and evaluate to get the distance.
Again recall distance = √(x2-x1)²+(y2-y1)²
==> plug in x2 = -3 , x1 = 0, y2 = -1 and y1 = 6
Distance = √(-3-0)²+(-1-6)
==> evaluate operations inside of parenthesis
Distance = √(-3)²+(-7)²
==> evaluate all exponents
Distance = √9+49
==> and 9 and 49
Distance = √58 = 7.6 (rounded)
Which is a correct solution for the following system of Inequalities
HELPP DUE IN 30MIN
Answer:
I think the answer is A
1,2
HELP ASAP WILL MARK BRAINLIEST UTS DUE IN 5!!!
Find the slope of the line.
O -2/5
O 2/5
O 5/2
O None of the above
Answer: 2/5
Step-by-step explanation:
HELP PLEASE! I NEED TO SUBMIT SOONN!!
I WILL GIVE ALOT OF BRAINLIST
2. For what value of x will the
rectangle at the right be a
square?
Answer:
x=1
Step-by-step explanation:
x+2=2x+1
x=1
sides of a square must be equal
Tria had one each of five different-shaped number solids having 4, 6, 8, 12, and 20 sides. She rolled two at a time and found probabilities for the sum of the numbers that came up. She recorded the probabilities in the first column of the table. When it came time to fill in the second column, she had forgotten which number solids she had used. Figure out which number solids she must have used and explain your thinking. The first one has been done.
She found out that the probability of 4 is lesser than 5, which combinations did she use?
Answer:The probability of a 3 is 2/80 or 1/40
The probability of a 4 is less than the probability of a 5
Step-by-step explanation:
If a polynomial function f(x) has roots –9 and 7 – i, what must be a factor of f(x)?
Answer:
The correct answer is x - (7 + i).