Step-by-step explanation:
A has no solution.
15x - 45 = 15x + 75
-45 = 75
is false for every value of x.
in other words, when you add to the same thing different amounts, the result cannot be identical ever.
B has a solution
-45x - 45 = -75x + 75
-120x = 120
-x = 1
x = -1
C has a solution
45x - 45 = -15x + 75
60x = 120
x = 2
D has a solution
15x - 45 = 75x + 75
-120 = 60x
-2 = x
The area of a rectangular field is 1/3 sq.m. Also, the breadth of the field is 3/4m. Find the length of the field. (with steps)
The length of the field is 4/9 meters.
To find the length of the rectangular field, we'll use the formula for the area of a rectangle: length multiplied by breadth.
Area = 1/3 sq.m
Breadth = 3/4 m
Let's assume the length of the field is L meters.
The formula for the area of a rectangle is:
Area = Length × Breadth.
Substituting the given values into the formula, we get:
1/3 = L × (3/4).
To solve for L, we need to isolate it on one side of the equation.
We can do this by dividing both sides of the equation by (3/4):
(1/3) ÷ (3/4) = L.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(1/3) × (4/3) = L.
Simplifying the multiplication, we get:
4/9 = L.
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which structure has changed position in whales over a long period of time.
a. tail
b. dorsal fin
c. mouth
d. blow hole
Answer:
I THINK ITS B. THE DORSAL FIN
Step-by-step explanation:
Because all fish and different Marine animals
have it in different spots of he/she's body
Hope I helped SORRY if you get it wrong
does cos^2(2x)+sin^2(2x)=1
Yes, the identity \(cos^{2}\)(2x) + \(sin^{2}\)(2x) = 1 is true. This identity is a fundamental trigonometric identity known as the Pythagorean identity.
The Pythagorean identity states that for any angle x, the square of the cosine of x plus the square of the sine of x is always equal to 1. Mathematically, it can be written as \(cos^{2}\)(x) + \(sin^{2}\)(x) = 1.
In the given expression, \(cos^{2}\)(2x) + \(sin^{2}\)(2x), we have an angle of 2x. According to the Pythagorean identity, the sum of the squares of the cosine and sine of this angle will also equal 1. Therefore, \(cos^{2}\)(2x) + \(sin^{2}\)(2x) simplifies to 1.
This identity is fundamental in trigonometry and has numerous applications in solving trigonometric equations and identities. It demonstrates the relationship between the cosine and sine functions and their squares, highlighting their complementary nature.
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I NEED Helppp PLEASE!!!
The given expression \(3 \dfrac{6}{5}\) can be written as \(\sqrt[5]{3^6}\).
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The given value can be written as:-
\(3\dfrac{6}{5} = \sqrt[5]{3^6}\)
Therefore the given expression \(3 \dfrac{6}{5}\) can be written as \(\sqrt[5]{3^6}\).
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Which type of association between the time spent picking strawberries and the number pounds of strawberries picked best explains why it is likely that Mary picked more than 1.5 pounds of strawberries on the sixth day
To determine the type of association between the time spent picking strawberries and the number of pounds of strawberries picked, more information and data would be needed, such as the results of experiments or observations conducted over a period of time.
What is the period of time?
The period of time is the duration or interval between two events or points in time. It refers to the amount of time that elapses between the beginning and the end of a specific event, process, or phenomenon. The period of time can be measured in various units such as seconds, minutes, hours, days, weeks, months, or years, depending on the context.
It is not possible to determine the type of association between the time spent picking strawberries and the number of pounds of strawberries picked without additional information or data.
Factors such as the location, weather, and the maturity of the strawberries can all influence the relationship between time spent picking and the amount of strawberries picked.
Additionally, there may be other variables that could influence the amount of strawberries picked, such as the worker's skill level or experience.
Therefore, to determine the type of association between the time spent picking strawberries and the number of pounds of strawberries picked, more information and data would be needed, such as the results of experiments or observations conducted over a period of time.
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Focus (5, 6) and Directrix x = 1
Answer:
kitchen scaleuwueieie
Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse. tan(A) = 5/12 , b = 2
I have to find a=?
I have to find c=?
The length of side a is 10/3, and the length of the hypotenuse c is 2√(34)/3.
What are the lengths of the missing sides?To find the length of side a, we can use the tangent of angle A. The tangent of an angle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. In this case, tan(A) = 5/12, which means that the length of side a is 5/12 times the length of the adjacent side. Since we know that side b is 2, we can calculate a = \((5/12) * 2 = 10/3\).
To find the length of the hypotenuse c, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, we know that side b is 2 and side a is 10/3. Let's denote the length of c as x. Applying the Pythagorean theorem, we have \((10/3)^2 + 2^2 = x^2\). Simplifying this equation, we get \(100/9 + 4 = x^2\). Combining the terms, we have 100/9 + 36/9 = \(x^2\), which gives us \(136/9 = x^2\). Taking the square root of both sides, we have \(x = \sqrt{(136/9)} = \sqrt{(136)/} \sqrt{(9)} = \sqrt{(136)/3} = 2\sqrt{(34)/3}\).
Therefore, the lengths of the missing sides are a = 10/3 and c = \(2 \sqrt{(34)/3}\).
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16. If 3x2 = 2y = 12, what is the value of x2y
2 in.
3. The box plots below represent data collected on the length of recorded tracks from the top 100 rap and
heavy metal mu
J
2.80 3.00 3.20 3.40 3.60 3.80 4.00 4.20 4.40 4.60 4.80 5.00 5.20 5.40 5.60 5.30 6.00 620 6.40
Track length (mirates)
On average, which genre has longer tracks?
According to the information in the graph, it can be inferred that the genre with the longest tracks is Heavy Metal (option A)
What does the graph show?The graph shows the duration of some tracks of both musical genres. In the case of Heavy Metal, the line goes from 3.80 minutes to 5.20 minutes. On the other hand, in the case of Rap, the line goes from 3.20 minutes to 4.80 minutes.
On the other hand, there is a vertical line in each of the genres that represents the average length of the tracks in that genre. In the case of Metal it indicates 4.80, while in the case of Rap it indicates 4.00.
According to the above information, it can be inferred that Metal has tracks with a longer duration on average than Rap (option A).
Note: This question is incomplete because there is some information missing. Here is the complete information:
The box plots below represent data collected on the length of recorded tracks from the top 100 rap and the top 100 heavy metal music charts.
On average, which genre of music has longer tracks?
A. Heavy metal
B. Rap
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Carmen got a prepaid debit card with $30 on It. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 11 cents per yard. If after that purchase there was $28.35 left on the card, how many yards of ribbon did Carmen buy? yards X 097
The correct answer is Carmen bought 165 yards of ribbon.
To find the number of yards of ribbon Carmen bought, we need to subtract the amount spent on the ribbon from the initial amount on the prepaid debit card.
First, we need to find out how much Carmen spent on the ribbon. We know that the price of the ribbon was 11 cents per yard. Let's assume she bought x yards of ribbon. So, the total amount spent on ribbon can be calculated as:
Amount spent on ribbon = 11 cents per yard × x yards
Amount spent on ribbon = 11x cents
Now, we need to subtract this amount from the initial amount on the prepaid debit card, which was $30. We are given that after the purchase, there was $28.35 left on the card. So, we can set up an equation:
$30 - 11x cents = $28.35
Let's solve for x:
$30 - $28.35 = 11x cents
$1.65 = 11x cents
x = 15
Therefore, Carmen bought 15 yards of ribbon.
To check our answer, we can use the given conversion factor of yards to cents:
1 yard = 0.97 cents
So, the cost of 15 yards of ribbon is:
15 yards × 0.11 dollars per yard = $1.65
This matches the amount we calculated using the prepaid debit card balance.
1. The initial amount on the prepaid debit card was $30.
2. Carmen bought some bulk ribbon at a craft store for her first purchase with the card.
3. The price of the ribbon was 11 cents per yard.
4. Let's assume Carmen bought x yards of ribbon.
5. The total amount spent on ribbon can be calculated as 11x cents.
6. We need to subtract this amount from the initial amount on the prepaid debit card.
7. After the purchase, there was $28.35 left on the card.
8. We can set up an equation to solve for x: $30 - 11x cents = $28.35.
9. Solving for x, we get x = 15.
10. Therefore, Carmen bought 15 yards of ribbon.
Carmen bought 15 yards of ribbon for her first purchase with the prepaid debit card. After this purchase, there was $28.35 left on the card.
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In the accompanying diagram, if triangle OAB is rotated counterclockwise 90 deg about point O, which figure represents the image of this rotation?
(see image below)
Answer:
Answer option 2
Step-by-step explanation:
When a shape is rotated counterclockwise by 90°, each point of the shape is moved in a circular motion in the counterclockwise direction by 90° around the fixed point of rotation.
As the triangle is rotated about point O, the position of point O does not change (i.e. it is "fixed").
Line segment OA is horizontal in the original figure. When it is rotated 90° counterclockwise, it becomes vertical, where A is above O.
Line segment BA is vertical in the original figure. When it is rotated 90° counterclockwise, it becomes horizontal, where B is to the left of A.
Therefore, the figure that represents the image after the given rotation is the second answer option.
Answer:
Answer option number two.
Rearrange the equation so nnn is the independent variable. m + 1=-2(n + 6).
The equation with 'n' as the independent variable is m = -2n - 13.
To rearrange the equation so that n is the independent variable, you can start by moving all of the terms with n on one side of the equation and all of the other terms on the other side.
You can start by subtracting 1 from both sides of the equation to get
m = -2(n + 6) - 1.
Then, you can distribute the -2 on the right side of the equation to get
m = -2n - 12 - 1.
Finally, you can combine the constants on the right side of the equation to get m = -2n - 13.
Therefore, the equation with 'n' as the independent variable is m = -2n - 13.
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10 increased by twice Chrissy's height Use the variable c to represent Chrissy's height.
Answer:
2C + 10
Step-by-step explanation:
a decimal that stops is which type of number A. rational B. irrational C.None of these
the answer is A. rational
Answer:
The answer would be A:Rational
What are 3 ways to solve inequalities?
We can solve the Inequalities by Isolating the variables that are present in the given Inequality.
What are Inequalities:In mathematics, an inequality is a connection between two values or mathematical equations that results in an unequal comparison.
The signs that we use in Inequalities are less than( < ), less than or equal to ( ≤ ), greater than ( > ), greater than or equal to ( ≥ ), and not equal to (≠) sign.
Solving Inequalities:Lets us consider we have inequality 3x + 2 + x ≥ 10
We can solve the above inequality as given below
Here we will solve the inequality by Isolating the variable
Step - 1
Add x term and constant terms
=> 4x + 2 ≥ 10 [ here 3x + x = 4x ]
Step - 2
Bring out x terms at one side, and constant terms at another side by doing required operations like adding
=> 4x + 2 ≥ 10 [ here we will subtract 2 from both sides ]
=> 4x + 2 - 2 ≥ 10 - 2
=> 4x ≥ 8
Step - 3
Now isolate the variable to get the solution
=> 4x/4 ≥ 8/4 [ here divided by 4 ]
=> x ≥ 2
Therefore, the required solution is x ≥ 2
Therefore,
We can solve the Inequalities by Isolating the variables that are present in the given Inequality.
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Please help! WILL MARK BRAINLIEST
Answer:
50
Step-by-step explanation:
Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.
What is the greatest possible whole-number length of the unknown side?
2 inches
3 inches
7 inches
9 inches
Answer:
c
Step-by-step explanation:
The greatest possible whole-number length of the unknown side among the option is 9 inches.
Obtuse triangle
Obtuse triangle is a triangle that has one of it internal angle greater than 90 degrees.
Triangle inequality theorem:The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
If the sides of the triangles are x, y and z. Therefore,
x + y > z
x + z > y
y + z > x
Therefore, the greatest possible length among the option is 9.
Proof
12 + 14 > 9
12 + 9 > 14
14 + 9 > 12
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The first two steps in determining the solution set of the system of equations, y = -x2 + 4x + 12 and y=-3x + 24,
algebraically are shown in the table.
Step
Equation
Step 1 |-x2 + 4x+12 --3x+24
Step 2
x? - 7x+12-0
Which represents the solution(s) of this system of equations?
(3, 15)
(4.36)
(3, 15) and (4, 12)
(-3, 33) and (-4, 36)
Answer:
C. (3,15) and (4, 12)
Step-by-step explanation:
Given the system of linear equations
y = -x² + 4x + 12 and y=-3x + 24
Since both equations represents the variable y, we will equate both of the equations together.
Step 1: Equating both equations together we have;
-x² + 4x + 12 = -3x + 24
-x²+3x+4x+12-24 = 0
-x²+7x-12 = 0
x² -7x+12 = 0
x²-4x-3x+12 = 0
x(x-4)-3(x-4)= 0
x-3(x-4) = 0
x = 3 and 4
Step 2: substitute x = 3 and 4 into any of the equations to get the value of y. Using equation 2
when x = 3, y = -3(3)+24
y = -9+24
y = 15
when x = 4, y = -3(4)+24
y = -12+24
y = 12
The solutions yo the system of equations are (3,15) and (4, 12)
Answer:
c
Step-by-step explanation:
or (3, 15) and (4, 12)
Round 36.268 to the nearest whole number.
The answer after rounding is 36
A parabola intersects the x xx-axis at x = 3 x=3x, equals, 3 and x = 9 x=9x, equals, 9. What is the x xx-coordinate of the parabola's vertex?.
Answer:
Step-by-step explanation:
The vertex is always halfway between the zeros. Our zeros are at 3 and 9, so exactly halfway inbetween them we find the x value 6.
Given the following ANOVA table for three treatments each with six observations: df Mean square Source Treatment Error Total Sum of squares 1,122 1,074 2,196 What is the treatment mean square? Multiple Choice O 71.6 71.8 O O 561 537 a
The treatment mean square can be calculated by dividing the sum of squares for treatment by the degrees of freedom for treatment. In this case, the sum of squares for treatment is 1,122 and the degrees of freedom for treatment is 2. Therefore, the treatment mean square is 1,122/2 = 561. Therefore, the correct answer is: 561.
Based on the ANOVA table you've provided, you're interested in determining the treatment mean square. The treatment mean square (also called mean square between) is calculated by dividing the treatment sum of squares by the treatment degrees of freedom (df). Unfortunately, the ANOVA table appears to be incomplete, and I am unable to give you the specific numbers for the calculations.
However, I can guide you on how to calculate the treatment mean square. Once you have the treatment sum of squares and treatment df, simply follow this formula:
Treatment Mean Square = Treatment Sum of Squares / Treatment df
After applying this formula, you'll be able to choose the correct answer from the multiple-choice options you've mentioned: 71.6, 71.8, 561, or 537.
The treatment mean square can be calculated by dividing the sum of squares for treatment by the degrees of freedom for treatment. In this case, the sum of squares for treatment is 1,122 and the degrees of freedom for treatment is 2. Therefore, the treatment mean square is 1,122/2 = 561. Therefore, the correct answer is: 561.
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A ________ is the ratio of probabilities that two genes are linked to the probability that they are not linked, expressed as a log10.
LOD score
A LOD score is the ratio of probabilities that two genes are linked to the probability that they are not linked, expressed as a log10. This measure is commonly used in linkage analysis, a statistical method used to determine whether genes are located on the same chromosome and thus tend to be inherited together.
In linkage analysis, the LOD score is used to determine the likelihood that two genes are linked, based on the observation of familial inheritance patterns. A LOD score of 3 or higher is generally considered to be strong evidence for linkage, indicating that the likelihood of observing the observed inheritance pattern by chance is less than 1 in 1000.
The LOD score is also used to estimate the distance between two linked genes, with higher LOD scores indicating that the two genes are closer together on the chromosome. In general, the LOD score is a useful tool for identifying genetic loci that contribute to complex diseases or traits.
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asuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametricaly opposite a woman
There are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.
In this problem, we want to find the number of ways to seat 14 people in a circle such that every man is diametrically opposite a woman.
Since every man must be diametrically opposite a woman, we can pair each man with one woman. There are 5 men and 9 women, so there are 5 pairs. We need to find the number of ways to seat these 5 pairs of people in a circle.
To do this, we can first seat one pair in any position. Then, we can seat the second pair anywhere but opposite the first pair. This gives us 11 positions for the second pair. Continuing in this way, we see that there are 11 * 6 * 5 * 4 * 3 = 7920 ways to seat the 5 pairs of people in a circle.
So, there are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.
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Assuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametrically opposite a woman?
the probility of alvins mother will server rice with dinner is 0.78 the probilty that she will server carrots is with dinner is 0.30
The probability of both rice and carrots being served with dinner is 23.4%.
The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.
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Gabriel needs to order some new supplies for the restaurant where he works. The
restaurant needs at least 587 knives. There are currently 387 knives. If each set on
sale contains 20 knives, use the drop-down menu below to write an inequality
representing s, the number of sets of knives Gabriel should buy.
The minimum number of sets of knives Gabriel should buy will be 10sets.
How to calculate minimum number of knives?A chef's knife, a paring knife, and a serrated knife are the only three knives that are essential in a kitchen. Any more knives are a luxury; while they can facilitate cooking and enhance the experience, they are not required.
Given the least number of knives needed = 587 knives
Amount currently available on ground = 387knives
The remaining amount of knives needed = 587 - 387
The remaining amount of knives needed = 200 knives
If each set on sale contains 20 knives, the number of sets Isabella will need will be:
The number of sets of knives=200/20 =10
What is example of inequality equation?The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. Finding the x numbers for which the inequality holds true is what we are most interested in.
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Kohl's needed to get her computer fixed she took it to the repair store the technician at the store worked on the computer for 6 hours and charged her $59 for parts. The total was $749.
Answer:
$115
Step-by-step explanation:
The cost of the labor per hour is $115.
The total amount that the technician charged her is the sum of the cost for the total hours worked and the costs of the parts.
Total charge = cost of total hours worked + cost of parts
$749 = $59 + cost of total hours worked
Cost of total hours worked = $749 - $59
Cost of total hours worked = $690.
define a positive integer n to be a factorial tail if there is some positive integer m such that the base-ten representation of m ! ends with exactly n zeros. how many positive integers less than 1992 are not factorial tails?
The number of positive integers which are less than 1992 and not factorial tails are 396.
Positive integer are defined as the all the integers greater then zero.There are positive integers, zero, and negative integers.
Let for some positive integer with exactly n zeros be m
Number at the end of zeros of m! be f(m)
f(m) = ( m /5 ) + ( m /25 ) + ( m /125 ) + ( m /625 ) + ....
Here 'm' is multiple of 5
So ,f(m) = f( m + 1) = f( m + 2) = f( m + 3 ) = f( m + 4 )
And f(m) ≤ ( m /5 ) + ( m /25 ) + ( m /125 ) + ( m /625 ) +...
= m / 4.03
= m / 4
Value of m greater than 7964 such that f(m) = 1991
f( 7975 ) = 1991
Number of distinct positive integer 7975 / 5 = 1595 less than 1992
Number of positive integers less than 1992 and they are not factorial tails are equal to
= 1991 - 1595
= 396.
Therefore, there are 396 positive integers which are less than 1992 and are not factorial tails.
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Which value of x makes the expression equivalent to 24√47?
O A. 8
OB. 64
O C. 192
OD. 576
3√47x
Answer: A
Step-by-step explanation:
To solve for x, we can set the expression equal to 24√47 and solve for x.
24√47 = x√47
24 = x
Therefore, the value of x that makes the expression equivalent to 24√47 is x = 24, which corresponds to the answer choice A.
which of the following ratios is equivalent to 15 / 20
45:60 is equivalent to 15:20
45/15: 60/15
3:4
15/5: 20/5
3: 4
Hence 45 to 60 is equivalent to 15 to 20.
In finance, we need to do partial observations of data and estimate the data generating process (DGP) -- for example, log-normal returns. Sometimes, we can observe only the data points of a certain process, but we don't know what is the function generating the process. Consider the following graph is a plot of the f ′
(x), of a function f(x) given. What is the underlaying function ( f(x −
i)) that is the generator of the observed points in the plot f ′
(x −
i), for points x −
1=−1,x −
2=−0.9,…,x −
n=1?
The underlying function f(x - i) that generates the observed points f'(x - i) in the plot can be determined by integrating the observed points. By integrating f'(x - i), we can obtain f(x - i) up to a constant of integration.
The constant of integration can be determined by incorporating additional information or constraints related to the problem or by considering the behavior of the function at a specific point.
To find the underlying function f(x - i) that generates the observed points f'(x - i), we need to integrate the observed points.
Integration is the reverse process of differentiation, so by integrating f'(x - i), we can recover f(x - i) up to a constant of integration.
The constant of integration arises because integration does not provide a unique solution.
The constant represents an arbitrary additive term that can vary depending on the specific problem or additional constraints.
To determine the constant of integration, we may need additional information or consider specific conditions related to the problem.
It is also important to note that the accuracy of estimating the underlying function f(x - i) depends on the quality and quantity of the observed data points f'(x - i). More data points and precise measurements can lead to a better estimation of the underlying function.
Additionally, the behavior of the function at a specific point can provide valuable insights for determining the constant of integration and refining the estimation of the underlying function.
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