Yes, 73 is a mirror prime number.
A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. Prime numbers play an important role in number theory and have many applications in mathematics and computer science.
A "mirror prime" or "emirp" is a prime number that remains prime when its digits are reversed. For example, the number 73 is prime, but if we reverse its digits, we get 37, which is also prime, so 73 is a mirror prime.
Mirror primes are relatively rare, and finding them requires a lot of computation power. They have been studied in number theory and have been found to have some interesting properties, for example, some researchers have found that the density of mirror primes are similar to the density of regular primes.
In the case of 73, it is a prime number, and it's not a "mirror prime" because when its digits are reversed, 37 is not a prime number, it is divisible by 37.
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One leg of a right triangle is decreasing at a rate of 555 kilometers per hour and the other leg of the triangle is increasing at a rate of 141414 kilometers per hour. At a certain instant, the decreasing leg is 333 kilometers and the increasing leg is 999 kilometers.
The rate of change of the area of the right triangle at that instant is -1.5 sq km/h.
Make ABC a right triangle with a right angle to B.
BC = x on the side decreasing be
with AB = y being the rising side.
After that, AC = z = (x² + y2) (using Pythagoras theorem)
Given that dx/dt is equal to -5 km/h and dy/dt is equal to 14 km/h
When x = 3 and y = 9, respectively.
currently, the triangle's area equals xy/1/2.
A = 1/2 xy
dA/dt = 1/2 (y) (y).
dy/dt = dx/dt + x/2.
by inserting the values at x = 3 and y = 9,
(dA/dt) = 1/2 (9)(-5) + 3/2 (14) (14)
= -1.5
As a result, the right triangle's area is changing at a rate of -1.5 sq km/h at the moment when x=3 and y=9.
Your question is incomplete but most probably your full question was
One leg of a right triengle is decreasing at a tate of 5 kilometers per hour and the other leg of the triangle is increasing at a rete of 14 kilometers per hour. Ara certain anstant the decreasing leg is 3 kilometers and the increasing leg is 9 kilometers. What is the rate of change of the area of the right triangle at that instant (in square kilometers per hour)? 11 e 111 01.5 -1.5 Stuck?
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Use method of reduction of order to find a second solution y2(x) of the homogeneuos equation and a particular solution of the given nonhomogeneous equation:
y" - 4y = 2; y1 = e^-2x
Please use equation and not substitution
The homogeneous equation and a particular solution of the given nonhomogeneous equation is [tex]& y=c_1 e^{-2 x}+c_2 e^{2 x}-\frac{1}{2}[/tex].
The given nonhomogeneous equation is y" - 4y = 2
We are given [tex]$y_1=e^{-2 x}$[/tex]
Let [tex]$y_2=u y_1$[/tex]
A linear differential equation is homogeneous if it is a homogeneous linear equation in the unknown function and its derivatives.Non-homogeneous differential equations are simply differential equations that do not satisfy the conditions for homogeneous equations. In the past, we’ve learned that homogeneous equations are equations that have zero on the right-hand side of the equation.
The two most common methods when finding the particular solution of a non-homogeneous differential equation are:
The method of undetermined coefficients. The method of variation of parameters.[tex]$$\begin{aligned}& y_2=u e^{-2 x} \\& y_2^{\prime}=u^{\prime} e^{-2 x}-2 u e^{-2 x} \\& y_2^{\prime \prime}=u^{\prime \prime} e^{-2 x}-2 u^{\prime} e^{-2 x}-2 u^{\prime} e^{-2 x}+4 u e^{-2 x} \\& y_2^{\prime \prime}=u^{\prime \prime} e^{-2 x}-4 u^{\prime} e^{-2 x}+4 u e^{-2 x}\end{aligned}$$[/tex]
Substitute in [tex]$y^{\prime \prime}-4 y=0$[/tex], we get
[tex]$$\begin{aligned}& u^{\prime \prime} e^{-2 x}-4 u^{\prime} e^{-2 x}+4 u e^{-2 x}-4 u e^{-2 x}=0 \\& u^{\prime \prime} e^{-2 x}-4 u^{\prime} e^{-2 x}=0 \\& e^{-2 x}\left(u^{\prime \prime}-4 u^{\prime}\right)=0 \\& u^{\prime \prime}-4 u^{\prime}=0 \\& u^{\prime \prime}=4 u^{\prime}\end{aligned}$$[/tex]
Substitute [tex]$$u^{\prime}=v$ and $u^{\prime \prime}=v^{\prime}$[/tex], we get
[tex]$$\begin{aligned}& v^{\prime}=4 v \\& \frac{d v}{d x}=4 v \\& \frac{1}{v} d v=4 d x\end{aligned}$$[/tex]
Integrate both sides, we get
[tex]$u=\frac{1}{4} C_1 e^{4 x}+C_2$$[/tex]
put in [tex]$y_2=u y_1$[/tex]
[tex]$$y_2=\left(\frac{1}{4} C_1 e^{4 x}+C_2\right) e^{-2 x}$$[/tex]
Choose [tex]$$C_1=4$ and $C_2=0$[/tex], we get
[tex]$$y_2=e^{2 x}$$[/tex]
[tex]$$\begin{aligned}& y_c=c_1 y_1+c_2 y_2 \\& y_c=c_1 e^{-2 x}+c_2 e^{2 x}\end{aligned}$$[/tex]
Particular Solution
[tex]$$\begin{aligned}& y_y=A \\& y_y{ }^{\prime}=0 \\& y_y{ }^{\prime \prime}=0\end{aligned}$$[/tex]
Substitute in [tex]$y^{\prime \prime}-4 y=2$[/tex], we get
[tex]$$\begin{aligned}& 0-4 A=2 \\& -4 A=2 \\& A=-\frac{1}{2} \\& \therefore y_y=-\frac{1}{2}\end{aligned}$$[/tex]
General Solution
[tex]$$\begin{aligned}& y=y_6+y_y \\& y=c_1 e^{-2 x}+c_2 e^{2 x}-\frac{1}{2}\end{aligned}$$[/tex]
Therefore, the second equation is [tex]& y_{2} =c_1 e^{-2 x}+c_2 e^{2 x}-\frac{1}{2}[/tex].
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What is the quotient − 2 3 − 8 9?
The quotient of the given expression is calculated by dividing one fraction by another fraction. The result is 0.75.
When two numbers are divided, a new number called a quotient is produced. The formula to calculate this quotient is Quotient = Dividend÷Divisor. Consider the expression 40÷4. Here, 40 is the dividend, 4 is the divisor, 10 is the quotient, and 0 is the remainder.
The given expression is (-2/3)/(-8/9). This can be solved using the formula [tex]\frac{A}{B}\div\frac{C}{D}=\frac{A}{B}\times\frac{D}{C}[/tex]. Here, A is -2, B is 3, C is -8, and D is 9. Substituting these values, we get,
[tex]\begin{aligned}\frac{A}{B}\div\frac{C}{D}&=\frac{A}{B}\times\frac{D}{C}\\\frac{-2}{3}\div\frac{-8}{9}&=\frac{-2}{3}\times\frac{9}{-8}\\&=\frac{3}{4}\\&=0.75\end{aligned}[/tex]
The required answer is 0.75.
The complete question is -
What is the quotient (-2/3)/(-8/9)?
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I’ll give brainliest. Write the rule for the linear function
A bicycle wheel has a radius of 28 cm. what is the circumference of the wheel?
Answer:
176 cm
Step-by-step explanation:
You want the circumference of a wheel with a radius of 28 cm.
CircumferenceThe circumference of a circle is given by ...
C = 2πr
For r = 28 cm, this is ...
C = 2π(28 cm) = 56π cm ≈ 176 cm
The circumference of the wheel is 56π cm, about 176 cm.
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Mendel's law of segregation states that gametes only carry one allele for each gene. How much genetic information does a gamete carry, compared to a body cell?.
Gametes carry half the genetic information of an individual, one ploidy of each type, and are created through meiosis, in which a germ cell undergoes two fissions, resulting in the production of four gametes.
About Mendel's Law IMendel's Law I has another name, namely the Law of Segregation. In the Law of Segregation it states that "In the formation of gametes (sex cells) in the two genes which are partners, will be separated in two daughter cells". Mendel's Law I or the Law of Segregation applies to monohybrid crosses, aka crosses with one different trait.
Mendel's First Law also states that two alleles (gene variants) that regulate certain traits will separate in two different gametes (sex cells). Mendel's Law I includes several things, namely:
Alleles (gene variations) for inherited trait variations. For example: the colors of two different flowers, called alleles, will occupy the locus that corresponds to the homologous pair. Two alleles for a character will separate when gametes (sex cells) are produced. Example: the result of a cross containing one allele of the parent flower color (purple or white) Each character in each organism will inherit two alleles, each of which comes from the parent. Example: the result of a cross that is likely to produce 1 white allele and 1 purple allele. If there are two different alleles, one of them will be dominant, while the other will be recessive. Example: there is a marriage of purple flowers with white flowers, it will produce purple offspring.Learn more about Mendel's law https://brainly.com/question/23067535.
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What are 10 examples of a solution?
A homogeneous mixture with two or more substances is called a solution. Household remedies frequently take the form of substances that have been dissolved in water, like juice concentrate.
Define the term solution and its examples?Solutions are any mixtures of substances that have been dissolved.
A solution can be diluted by adding more solvent or by removing solutes. You can concentrate it by removing solvent or adding more solutes.
The following are some illustrations of simple fixes:.
tea or coffee.(Sugar added to solution) Sweet tea or coffee.any juice.saltwater.bleach is a solution of sodium hypochlorite in water.Dishwater is soapy water with dissolved soap.carbonated drinks (sodas have a fizz from carbon dioxide dissolved in water).powdered beverages.salt in water solutions.soda water,To know more about the solution, here
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Subtract.
(7j+8)–(4j+6)
[tex](7j+8)-(4j+6)[/tex]
Distribute negative sign:
[tex]7j+8+-1(4j)+(-1)(6)[/tex]
[tex]7j+8-4j-6[/tex]
Combine Like terms:
[tex](7j-4j)+(8-6)[/tex]
[tex]\fbox{3j + 2}[/tex]
Answer:
The Answer would be 0.6666 repeated
Step-by-step explanation:
I don't think that I have to explain the process. it would be too long to read!
100 points
solve each system by graphing
x-y=-2
and
4x-y=4
Answer:
(2, 4)------------------------
Given system:
x - y = -24x - y = 4Rewrite equations to bring to slope-intercept form:
y = x + 2 andy = 4x - 4Plot each line and find the intersection, this is the solution.
The solution is (2, 4) as per attached graph.
What are the 4 parts of a polygon?
The four parts of a polygon are: sides, vertices, diagonals, and interior angles.
What is polygon?Polygon is a closed figure in a plane made of of straight line or curved line that insert in pairs a polygon has at least three side of angle the height can be of any length and the angle can be of any measure polygon or classified according to the number of side they have such as triangle.
A polygon is a closed, two-dimensional shape with three or more straight sides. The four parts of a polygon are: sides, vertices, diagonals, and interior angles. The sides are the straight line segments that make up the shape. The vertices are the points where the sides meet. The diagonals are line segments joining any two non-adjacent vertices. The interior angles are the angles inside the polygon, which are determined by the number of sides the polygon has.
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Draw number line to show the following
0>x≥5
In a dividing competition, scores range from 0 to 10. When three judges, the number of points awarded is calculated by multiplying the sum of the scores by the degree of difficulty. Your opponent earns 40.8 points on a dive. You perform a dive with a degree of difficulty of 2.4. Two of your scores are shown. What scores from the third judge will give you more points than your opponent?
Answer:
1.5 or greater than 1.5
Step-by-step explanation:
First, we need to determine the total score of your opponent's dive:
40.8 points / 2.4 (degree of difficulty) = 17 (total score)
Now, we know that your total score needs to be greater than 17, and the scores awarded by the three judges are added together.
To calculate the scores from the third judge, we can use the following equation:
(Total score) - (score from judge 1) - (score from judge 2) = (score from judge 3)
Let's assume that you received scores of 8 and 7.5 from the first two judges.
We can plug in the values into the equation:
(Total score) - (8) - (7.5) = (score from judge 3)
We know that your total score needs to be greater than 17, so we have to find the score from the third judge, that when added to the scores 8 and 7.5, gives a total score greater than 17
17 - 8 - 7.5 = 1.5
The score from the third judge should be 1.5 or greater than 1.5 in order to give you more points than your opponent.
If the mug cost $6 last year and the price increased by 25%, how much did the mug cost this year?
Answer:
$6.36
Step-by-step explanation:
6 x 1.06 = 6.36
PLEASE HELP ME I ONLY HAVE TODAY TO COMPLETE THIS ),:
What is the radical form of each of the given expressions?
Answer:
1. 7[tex]\frac{1}{2}[/tex] = [tex]\sqrt{7}[/tex]
2. 4[tex]\frac{7}{2}[/tex] = [tex]\sqrt{4} x^{7}[/tex]
3. 7[tex]\frac{1}{4}[/tex] = [tex]\sqrt[4]{7}[/tex]
4. 4[tex]\frac{1}{7}[/tex] = [tex]\sqrt[7]{4}[/tex]
Step-by-step explanation:
A number between 55 and 101 multiple of 2, 6, and 8
Answer:72
Step-by-step explanation:
8x9=72
2x36= 72
12x6=72
help please i need answers
The expressions that have a sum or difference equal to 3/4 are:
11/12 - 1/6 3/5 + 3/202/3 + 1/12The correct options are B, C, and E
What are sums and differences?
Sum mean the addition of numbers or expression
Difference means the subtraction of numbers or expressions.
The sum or difference of the number are as given below:
a. 1/2 + 2/4 = 4/4
b. 11/12 - 1/6 = (11 - 2) / 12
11/12 - 1/6 = 9/12
9/12 = 3/4
c. 3/5 + 3/20 = (12 + 3)/20
3/5 + 3/20 = 15/20
15/20 = 3/4
d. 7/8 - 1/2 = (7 - 4)/8
(7 - 4)/8 = 3/8
e. 2/3 + 1/12 = (8 + 1)/12
(8 + 1)/12 = 9/12
9/12 = 3/4
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Maria’s height is 134 centimeters. What is her height in meters?
m
Answer:
There are 100 centimeters in 1 meter, so Maria'e height in meters would be:
1 meter and 36 centimeters, tall.
Step-by-step explanation:
Hope it helps! =D
y = 5x - 9
y = 5x + 9
Solve with substitution but i need the steps
A bag ha 16 blue, 20 red, and 24 green marble. What fraction of the marble in the bag are blue?
Repone
151 fifth
The fraction of the marble in the bag are blue is 4/15
The term fraction can be found by dividing part of a whole by the whole. Here the example if 2 students out of a total of 4 are picked, then the part is 2 and the whole is 4 while the fraction is 2 by 4.
Here we have given that a bag has 16 blue, 20 red, and 24 green marbles.
And we need to find the fraction of the marbles in the bag are blue
While looking into the given question, we have identified that the number of blue marbles is 16.
And the total number of marbles is calculated by adding the number of each marbles, then we get,
=> 16 + 20 + 24 = 60.
Here we know the the resulting fraction is obtained by the number of blue marbles out of the total marbles is,
Then it can be written as
=> 16/60
When we simplify this one then we get,
=> 4/15
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One angle of a triangle measures 70°. The other two angles are in a ratio of 4:7. What are the measures of those two angles?
The measure of the other two angles are 88 degrees and 22 degrees.
Let's call the two unknown angles x and y. Since the sum of all angles in a triangle is 180 degrees, we have:
x + y + 70 = 180
We also know that the ratio of the two angles is 4:7. We can set up a proportion to express this relationship:
x/y = 4/7
We can cross-multiply to get:
7x = 4y
We can substitute this equation into the first equation to eliminate one of the variables.
7x + y + 70 = 180
Now we have:
7x + y = 110
We can use the second equation to eliminate x:
7(4y/7) + y = 110
4y + y = 110
5y = 110
y = 22
Now that we know one of the angles is 22 we can substitute it back in the first equation
x+22+70 = 180
x = 88
Therefore, the measures of the other two angles are 88 and 22 degrees
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At a hockey game, a vender sold a combined total of 220 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
The number of sodas sold was three times the number of hot dogs sold, so if we set up an equation, it would be 3x + x = 220, where x is the number of hot dogs sold. To solve this equation, we can subtract x from both sides, leaving us with 2x = 220. Then, we can divide both sides by 2, leaving us with x = 110. This means that 110 hot dogs were sold and 3x = 330 sodas were sold.
I Need help asap, This is due in less than an hour!!
Can you please copy and paste it here?
-
I cannot read it clearly.
Use the scatter plot to answer the question.
Ten athletes ran two races of the same length. The scatter plot shows their times. Select all statements that are true.
LOADING... Click the icon to view the scatter plot.
Question content area bottom
Part 1
Select all that apply.
A.
Eight of the times for the second race were less than 15 seconds.
B.
Nine of the times for the first race were at least 14 seconds.
C.
There were three athletes who had the same time in both races.
D.
There were two athletes whose times in the two races differed by exactly 1 second.
E.
There were four athletes who were faster in the second race than in the first.
The correct statement regarding the scatter plot is given as follows:
C. There were three athletes who had the same time in both races.
What is the scatter plot?The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:
(Input, Output).
The input and output variables for this problem are given as follows:
Input variable: time for the first race.Output variable: time for the second race.The points are given as follows:
(15, 15), (16, 15), (17, 15), (19, 15), (16, 16), (17, 16), (18, 16), (19, 16), (18, 18), (17, 19)
For example, the point (16, 15) means that the person took 16 seconds for the first race and 15 seconds for the second race.
Hence statement C is correct, as the points (15,15), (16, 16) and (18,18) means that there were three athletes who had the same time in both races.
Missing InformationThe scatter plot is given by the image presented at the end of the answer.
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Function or not a function?
which of these 3 diagrams are correct
The ratio of red to blue counters is 3: 5. The ratio of blue to yellow counters is
3: 8. What is the ratio of red to yellow counters?
Answer: 3 : 8
Step-by-step explanation:
red to blue is 3 : 5
blue to yellow is 3 : 8
red to yellow is 3 : 8
Food Lion sells 5- 15 ounce cans of beans for $4.00 aldi sells 4- 15 ounce cans for $4.00. How much does one can sell from each store
Food lion sells one can at $0.8 and Aldi sells one can at $1.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Food Lion sells 5- 15 ounce cans of beans for $4.00.
Aldi sells 4- 15 ounce cans for $4.00.
So, Food lion sell one can
= 4/5
= $0.8
and, Aldi sells one can at
= 4/4
= $1
Hence, Food lion sell at $0.8 and Aldi sells for $1.
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Select all the correct answers. Janine needs to calculate the value of log, 81. Which expressions could she input into her calculator to find this value? a. In 81/12b. log 81/log 12 c. log 81/In 12d. log 12/log 81
Options A and B are the correct answers.
The exponent or power to which a base must be raised to yield a given number is called a logarithm.
x is the logarithm of n to the base b if bx = n, in which case one writes
x = logb n.
“The logarithm of a positive real number a with respect to base b, and a positive real number not equal to 1^[nb 1], is the exponent by which b must be raised to yield a”.
b^y=a ⇔logba=y
“a” and “b” are two positive real numbersy is a real number“a” is called an argument, which is inside the log“b” is called the base, which is at the bottom of the log.To calculate the value of log₁₂81 we use the formula of
log ab=logb/loga=ln b/ln a
log₁₂81=log₁₀81/log₁₀12
=log81/log12
Also, log e81=loge81/loge12
=ln81/ln12
So, choose log81/log12 and ln81/ln12
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Answer:
see photo, they change out answer order to look close. :-)
Step-by-step explanation:
Plato/Edmentum
Determine a series of transformations that would map Figure D onto Figure E.
The series of transformations that would map figure D onto figure E is a
reflection over Y = -X.
What is a reflection?There are two ways of reflection.
Along x-axis:
(x, y) – (x, -y)
Along y-axis:
(x, y) - (-x, y)
We have,
The coordinates of Figure D are:
(4, 1), (1, 9), (5, 9), (7, 4), (6, 4).
The coordinates of Figure E are:
(-1, -4), (-9, -1), (-9, -5), (-4, -7), (-4, -6)
We see that,
The coordinates transformation:
(4, 1) → (-1, -4)
(1, 9) → (-9, -1)
(5, 9) → (-9, -5)
(7, 4) → (-4, -7)
(6, 4) → (-4, -6)
This is a reflection over Y = -X.
The reflection over Y = -X is (x, y) → (-y, -x).
Thus,
The transformations that would map figure D onto figure E are a
reflection over Y = -X.
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(A) 12n + 14m + 4 B) 2 (7n +3m + 7) c 3 (m + 4n+20) D) 14m + 12m + 4 CHECK ANSWER X 101 Use the expression 10m + 3 (n + 8) + 4 (m - 5) + 9n to find its simplified form Which expression is written correctly in standard form? Be sure to clear the parenthesis first and then combine like terms.
Answer:
"A) 12n + 14m + 4" would be the standard form.
Step-by-step explanation:
the expression written correctly in standard form would be "A) 12n + 14m + 4"
10m + 3(n + 8) + 4(m - 5) + 9n you need to first clear the parenthesis by applying distributive property:
10m + 3(n + 8) + 4(m - 5) + 9n = 10m + 3n + 24 + 4m - 20 + 9n
After that you combine like terms
= 10m + 4m + 3n + 9n + 24 - 20 = 14m + 12n + 4
"A) 12n + 14m + 4" would be the standard form.