On solving the provided question, we can say that the permutation will bw , N = (4!)(5!)(3!)(3!)= 103,680
what is permutation?The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of.
we can put 3 math books and 5 English books on a shelf if all the math books must stay together and all the English books must also stay together will be , N = (4!)(5!)(3!)(3!)= 103,680
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when x equal 8 to the x^6-64x^4+x^2-7x-51
The expression (x - 8) is not the factor of the polynomial x⁶ - 64x⁴ + x² - 7x - 51.
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given below.
⇒ x⁶ - 64x⁴ + x² - 7x - 51
If the value of the polynomial is zero at x = 8. Then (x - 8) will be the factor of the polynomial.
At x = 8, the value of the polynomial is given as,
⇒ (8)⁶ - 64(8)⁴ + (8)² - 7(8) - 51
⇒ 262,144 - 262,141 + 64 - 56 - 51
⇒ - 43
The expression (x - 8) is not the factor of the polynomial x⁶ - 64x⁴ + x² - 7x - 51.
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what is the equation of a line that is parallel to 4x+3y=12 AND passes through the point (3,4) ?
Answer:
Step-by-step explanation:
Given Line equation is 4x+3y=12 and point (3,4)
Given condition two line are parallel
Parallel means two straight lines having same slope.
From the above condition we can use "point-slope" equation.
[tex]y-y_{1} =m(x-x_{1} )[/tex]
From the given line equation we can find slope easily.
We can rewrite the line equation as [tex]y=-\frac{4}{3} x+4[/tex]
We can compare the above equation as y=mx+b
slope [tex]m=-\frac{4}{3}[/tex] and point [tex](x_{1} ,y_{1} )[/tex]=(3,4) submit in slope-point equation.
Becareful while submit point in the slope point equation.
Note:(Many students do mistakes while submitting point.
[tex]y-4=-\frac{4}{3}(x-3)[/tex]
solve and get the answer
Equation of line is 4x+3y=24
How do you find the horizontal asymptote and Y intercept?
The process of finding the horizontal asymptote and y intercept is explained below.
In order to find the steps, we must know that what is meant by asymptote and intercept.
The process of finding the asymptote is defined as the horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator.
If the degree of numerator is less than degree of denominator then horizontal asymptote at y = 0
Where as if the degree of numerator is greater than degree of denominator by one then there is no horizontal asymptote
Finally if the degree of numerator is equal to degree of denominator then the horizontal asymptote at ratio of leading coefficients.
As per the definition of intercept we have identified that the point that will intersect at the y axis is referred as the y intercept.
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Can you help me with this
find the missing angle
Answer:
Step-by-step explanation:
180-120=60
60+50=110
180-110=70
the missing angle is 70 degrees
How do you write log2 in exponential form?
To change logarithmic form to exponential form, spot the logarithmic equation's base and move the base to another side to the equal sign. Moving the base will make the current number or variable into the exponent.
Do not move something but the base: the other numbers or value will not change sides, and the word "log" will be release.
Log Rules:
1. the first rule is logb(mn) = logb(m) + logb(n)
2. the second rule is logb(m/n) = logb(m) – logb(n)
3. the third rule is: log b (mn) = n · logb(m)
1. Multiplication can be turned outside the log into addition and vice versa can be turned.
2. Division can be spin outside the log into a subtraction, and vice versa.
3. An exponent can be proceeded as a multiplier outward on all within a log, and vice versa.
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I want the answer please
The prove of given limit lim θ → 0 ( sin θ / θ ) = 1 is shown in below.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
⇒ lim θ → 0 ( sin θ / θ ) = 1
Here, The form of given limit is 0/0, so we can apply the L - Hospital Rule.
⇒ lim θ → 0 ( sin θ / θ ) = 1
Take LHS;
⇒ lim θ → 0 ( d/dθ (sin θ)/ dθ/dθ )
⇒ lim θ → 0 ( cos θ / 1 )
⇒ ( cos 0 )
⇒ 1
⇒ RHS
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Dennis made an extra 245. 00 do for selling furniture was 7% of the total value of the furniture he sold. What was the total value of the furniture Dennise sold?
The total value of the furniture that was sold by Dennis is 3,500 dollars.
What is the percentage?
The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Dennis made an extra $245.00 for selling furniture.
Let the cost of the furniture be x.
Let the total value of the furniture be x + 245.
The extra $245.00 was 7% of the total value of the furniture he sold.
0.07(x + 245) = 245
x+ 245 = 3500
x = 3255
Then the total value of the furniture is (3,255 + 245 =) $3,500.
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The moon orbits earth at 384400km. The distance from earth to the sun is 149600000km. The diamiter of the sun is 1391000km. What would the diamiter of earth have to be to appear the same size as the sun from the moon if the celestial objects are in the order shown here : Sun, earth, moon.
Answer:
The diameter of Earth that would appear the same size as the Sun from the Moon is approximately 54304839.858 kilometers
Step-by-step explanation:
To find the diameter of Earth that would appear the same size as the Sun from the Moon, we need to know the distance from the Moon to the Sun and the distance from the Moon to Earth.
Since the distance from the Moon to the Sun is much greater than the distance from the Moon to Earth, the angle subtended by the Sun at the Moon will be much smaller than the angle subtended by Earth at the Moon.
Therefore, the size of Earth as seen from the Moon will be much larger than the size of the Sun as seen from the Moon.
To find the ratio of the size of Earth to the size of the Sun as seen from the Moon, we can use the formula:
size ratio = (distance to Earth / distance to Sun) x (Sun's diameter / Earth's diameter)
Substituting in the given values, we get:
size ratio = (384400km / 149600000km) x (1391000km / Earth's diameter)
Simplifying, we get:
size ratio = 0.00257 x (1391000km / Earth's diameter)
To find the diameter of Earth that would appear the same size as the Sun from the Moon, we need to solve for Earth's diameter. Dividing both sides of the equation by 0.00257, we get:
Earth's diameter = (1391000km / 0.00257) = 54304839.858km
Therefore, the diameter of Earth that would appear the same size as the Sun from the Moon is approximately 54304839.858 kilometers.
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A submarine must descend at an average rate of at least 12 feet per minute for 5 minutes. The table shows how many feet the submarine descends
in the first 4 minutes. How many feet must the submarine descend in the fifth minute?
Answer:
Submarine must descend by 12 feet in the fifth minute.Average of the data:Average of a data set is calculated by dividing the sum of terms by the number of the terms of the set.From the table given in picture,Let the distance descended by submarine in 5th minute = x feetAverage distance descended by the submarine = = = feet per minuteStatement given in the question → "Submarine must descend at an average rate of at least 10 feet per minute"So the inequality for the statement will be,38 + x ≥ 50x ≥ 50 - 38x ≥ 12 Therefore, submarine must descend 12 feet in the 5th minute.
Step-by-step explanation:
The clock in Sri's car, which is not accurate, gains time at a constant rate. One day as he begins shopping he notes that his car clock and his watch (which is accurate) both say 12:00 noon. When he is done shopping, his watch says 12:30 and his car clock says 12:35. Later that day, Sri loses his watch. He looks at his car clock and it says 7:00. What is the actual time
The actual time is 6:30.
Since Sri's car clock is not accurate, it is gaining time at a constant rate. By knowing that at 12:00 noon the car clock and the watch were in sync, we can estimate that the car clock is gaining 5 minutes per hour.
Therefore, when Sri looks at his car clock at 7:00 and his watch is missing, we can calculate that the actual time is 6:30. This is done by subtracting the 5-minute difference in time between the car clock and the watch at 12:30 (12:35 car clock, 12:30 watch) from the 7:00 car clock. The result is 6:30.
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TOLL ROAD Mr. Espinoza randomly chooses one of five toll booths when
entering a toll road when driving to work. What is the probability he will
select the middle toll booth on Monday and Tuesday?
Answer: Assuming that the selection of the toll booth is a random and independent event, the probability that Mr. Espinoza chooses the middle toll booth on Monday is 1/5 (or 20%), since there are five total toll booths and the middle booth is one of those options. Similarly, the probability that he chooses the middle booth on Tuesday is also 1/5 (or 20%).
To find the probability that he chooses the middle booth on Monday and Tuesday, we can multiply the probabilities of each event.
Probability of selecting middle booth on Monday AND selecting middle booth on Tuesday = (1/5) * (1/5) = 1/25 = 0.04 or 4%
So, Mr. Espinoza will select the middle toll booth on Monday and Tuesday with a probability of 4%. This means that the chance that both events will happen is low and quite rare, but not impossible.
Step-by-step explanation:
How do you solve this
The measure of angle TQW from the given figure is 25°.
What are perpendicular lines?A perpendicular is a straight line that makes an angle of 90° with another line. 90° is also called a right angle and is marked by a little square between two perpendicular lines as shown in the figure. Here, the two lines intersect at a right angle, and hence, are said to be perpendicular to each other.
Given that, QT⊥PQR at Q, QW⊥QS at Q, and m∠SQP=25°.
From the given figure, m∠SQP+m∠SQT=90° -------(I)
m∠TQW+m∠SQT=90° -------(II)
Here, equation (I)=(II), we get
m∠SQP+m∠SQT=m∠TQW+m∠SQT
m∠SQP=m∠TQW
25°=m∠TQW
Therefore, the measure of angle TQW from the given figure is 25°.
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sofia and her brother combined to read a total of 40 books over the summer sofia read four times as many books as her brother how many books did each person read
The number of books that Sofia read is 32 books and the brother read 8 books.
How to calculate the number of books read?An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
From the information, Sofia and her brother combined to read a total of 40 books over the summer sofia read four times as many books as her brother how many books did each person read
Let the number of books read by the brother = x
Number of books read by Sofia = 4x
Therefore, x + 4x = 40
5x = 40.
Divide
x = 40 / 5
x = 8
The brother read 8 books
Sofia read = 4x
= 4 × 8
= 32 books.
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Gianna has $760 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $356.46.
She buys 2 bicycle reflectors for $10.01 each and a pair of bike gloves for $20.72.
She plans to spend some or all of the money she has left to buy new biking outfits for $45.35 each.
Write and solve an inequality which can be used to determine
o
o, the number of outfits Gianna can purchase while staying within her budget.
Answer:
Gianna has $760 to spend and she has already spent $356.46 on a new bicycle, $10.01 on 2 bicycle reflectors, and $20.72 on a pair of bike gloves.
The total amount spent on these items is $356.46 + $10.01 + $20.72 = $387.19.
Gianna has $760 - $387.19 = $<<760-387.19=372.81>>372.81 left to spend on biking outfits.
She wants to buy biking outfits that cost $45.35 each.
We can write an inequality to represent the number of outfits Gianna can purchase while staying within her budget as follows:
45.35o <= 372.81
This inequality can be solved by dividing both sides by 45.35:
o <= 8.24
Therefore, Gianna can purchase 8 biking outfits while staying within her budget.
Step-by-step explanation:
What is the length of leg y of the right triangle?
Answer:
4
Step-by-step explanation:
Is the interval 0 1 Infinite?
Therefore, the interval (0, 1) must be countless and infinite. Since the interval (0, 1) is as large as R, R is also infinite.
Interval:
In mathematics, a (real) interval is a set of real numbers containing all real numbers between any two numbers in the set. For example, the set of numbers x such that 0 ≤ x ≤ 1 is an interval containing (0, 1), and all numbers in between. Other examples of intervals are the set of numbers with 0 < x < 1, the set of all real numbers, the set of non-negative real numbers, the set of positive real numbers, the empty set, and any Singleton (a set of one element).
Real intervals play an important role in integral theory. This is because real intervals are the simplest set whose "length" (or "scale" or "magnitude") is easy to define. The notion of measure can be extended to more complex sets of real numbers, leading to the Boral measure and finally the Lebesgue measure.
Intervals are central to interval arithmetic, a general numerical technique that automatically provides guaranteed bounds for any mathematical expression, even in the presence of uncertainties, mathematical approximations, and arithmetic rounding.
Open Interval:
Open intervals do not include endpoints and are indicated by parentheses. For example, (0, 1) means greater than 0 and less than 1. This is (0, 1) = {x | 0 This interval can also be expressed as ]0, 1[ . Please refer to the following.
Closed Interval:
A closed interval is an interval that contains all boundary points and is indicated by square brackets. For example, [0, 1] means greater than or equal to 0 and less than or equal to 1.
Half- Open Interval:
A half-open interval contains only one of its endpoints and is represented by a combination of open and closed interval notation. Example: (0, 1) means greater than 0 and less than or equal to 1, [0, 1) means greater than or equal to 0 and less than 1.
Complete Question:
II. Identify the following terms described in each item. Quantitative & Quaeritated. It can be separated into different categories that are distinguished by some nonnumeric characteristics. 2. It consists of numbers representing counts or measurements. Quantitative Quantitative 3. The result from either a finite number of possible values or countable number of possible values as 0, or 1, or 2, and so on 4. The result from infinitely many possible values that can be associated with points on a continuous scale in such a way that there are no gaps or interruptions 5. It is characterized by data that consist of names, labels, or categories only. 6. It involves data that may be arranged in some order, but differences between data values either cannot be determined or are meaningless. 7. It involves meaningful amounts of differences between data. It has no true zero point or absolute zero. 8. It contains all the properties of the interval level but has true zero point or absolute zero. 9. It is a complete collection of all elements to be studied. 10. It is a branch of Mathematics that deals with the collection, organization presentation, analysis, and interpretation of data.
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What is the solution to the equation 1 h 5 2 h 5?
h = 7 is the solution to the equation 1/ (h - 5) + 2/ (h + 5) = 16 / (h² - 25)
What is an equation?The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.
Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.
The equation given that,
1/ (h - 5) + 2/ (h + 5) = 16 / (h² - 25)
The least common multiple of the denominators is:
h² - 25 = (h - 5) (h + 5)
We multiply through with the LCM to obtain:
= [(h - 5) × (h + 5)] × [1 / (h - 5)] + [(h - 5) × (h + 5)] × [2 / (h - 5)]
= 16 / (h² - 25) × [(h - 5) × (h + 5)]
We cancel out common factors to obtain:
= 1 (h + 5) + 2 (h - 5)
= 16
We expand the brackets to obtain
= h + 5 +2h - 10
We group like terms to get:
h + 2h = 16 - 5 + 10
This simplifies to:
3h = 21
We now divide through by 3 to obtain:
h = 7
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2. A square playground has a side which measures 40 metres. What is its area?
The area of a square playground which has a side measures 40metres would be 100[tex]m^2[/tex].
How to calculate area?step1
Perimeter of square = 40m
We have given that perimeter of square is 40m. To find its area, we have to calculate its side first.
Perimeter of square = 4× side
Substituting values in formula
Area of square = 4 × side
=> 40 = 4 × side
=> side = 40÷4
=> side = 10m
Side of square is 10m.
step 2
Calculating area of square :
We found that side of square is 10m. To find it area, required formula is:
Area of square = (side)²
To find area, substitute values in formula :-
Substituting values in formula :-
Area of square = (side)²
=> Area of square = (10)²
=> Area of square = 10 × 10
=> Area of square = 100m
so if the perimeter of square is 40m then the area is 100m.
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DeAndre is 18 miles into a 54-mile backpacking trip in the wilderness.
DeAndre can hike 12 miles per day. How many more days does DeAnd
need to finish?
DeAndre needs
more days.
20 PTS-what Theorem can be used to prove these triangles are congruent
Answer: AAS
Step-by-step explanation:
AAS, because the side congruence isn't between the angles as it should be in order for it to be ASA.
Work out the equation of the line shown below.
Give your answer in the form y = mx + c, where m and c are
integers or fractions in their simplest forms.
to get the equation of any straight line, we simply need two points off of it, let's use those from the picture below.
[tex](\stackrel{x_1}{-10}~,~\stackrel{y_1}{-100})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{140}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{140}-\stackrel{y1}{(-100)}}}{\underset{\textit{\large run}} {\underset{x_2}{30}-\underset{x_1}{(-10)}}} \implies \cfrac{140 +100}{30 +10} \implies \cfrac{ 240 }{ 40 } \implies 6[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-100)}=\stackrel{m}{ 6}(x-\stackrel{x_1}{(-10)}) \\\\\\ y +100 = 6 ( x +10)\implies y+100=6x+60\implies {\Large \begin{array}{llll} y=6x-40 \end{array}}[/tex]
If 85% of the workers in a factory factory are male and the number of female is 36. find the total number of workers in a factory
The total number of workers in the factory is = 240.
It is given that,
Male = 85%
Female = 36
If we assume that the total workers account for 100%, then we know that Female workers account for 15% of the workforce (as 100-85= 15).
Now,
=> 15% = 36
If, 1% = 36/15
then, 100% = 36/15*100
= 12*20
= 240.
Therefore, the answer is 240.
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A bag of
.5 red marbles
.6 blue marbles
.3 green marbles
.4 black marbles
.2 yellow marbles
A marble will be drawn from the bag and replaced 100 times how many green and black marbles will be drawn?
The number of green and black marbles will be 15 and 20 black marbles respectively.
How to illustrate the probability?Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.
We have the following information:
5 red marbles
6 blue marbles
3 green marbles
4 black marbles
2 yellow marbles
Total marble = 20 marbles
The number of green marbles:
= 3/20 × 100
= 15
The black marbles will be:
= 4/20 × 100
= 20
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1. A taxi charges a flat rate of $1.75 plus an additional $0.65 per mile. If Eli has at most $10 to spend on the cab ride, how far could he travel?
17 miles
12 miles
23 miles
9 miles
2. Which inequality matches the statement below?
Three-fourths times x added to two times x is more than eleven
3/4x + 2 > 11
2x + 3/4x > 11
3/4(x+2) > 11
3/4 + x + 2 + x > 11
Eli could travel 12 miles and 3/4x+2x>11 inequality matches the statement Three-fourths times x added to two times x is more than eleven
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that a taxi charges a flat rate of $1.75 and an additional $0.65 per mile.
Eli has at most $10 to spend on the cab ride
We need to find how far could he travel
1.75+0.65x≤10
Subtract 1.75 on both sides
0.65x≤10-1.75
0.65x≤8.25
x≤8.25/0.65
x≤12.6
So he could travel 12 miles.
Three-fourths times x added to two times x is more than eleven
3/4x+2x>11
Hence, Eli could travel 12 miles and 3/4x+2x>11 inequality matches the statement Three-fourths times x added to two times x is more than eleven
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a new health drink has 150% of the recommended daily allowance. there is a certain vitamin this vitamin is 40 mg. How many milligrams of the vitamin are in a drink?
The numbers of milligrams of the vitamin that are in a drink is 60 milligrams.
What is the vitamin about?The recommended daily allowance (RDA) for the vitamin is 40 mg. A new health drink has 150% of the RDA.
To find out how many milligrams of the vitamin are in a drink, you can use the following formula:
(RDA) x (percentage/100) = milligrams in a drink
So,
(40mg) x (150/100)
= 60mg
Therefore, there are 60 milligrams of the vitamin in a drink.
Note that the RDA of vitamins can vary depending on age, gender, and other factors, so always consult a doctor or nutritionist before starting to consume any new supplement.
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How do you find the area of a isosceles triangle without the height?
Since an isosceles triangle has two equal sides, it has two equal angles and two equal heights. Therefore, if you know the length of two sides, you can use the formula A = (1/2)bh to calculate the area, where b is the length of the base and h is the length of the two equal heights.
An isosceles triangle is a triangle with two equal sides and two equal angles. Since the two equal sides also have two equal heights, we can use the formula A = (1/2)bh to calculate the area of the triangle without the height. The formula A = (1/2)bh requires the length of the base (b) and the length of the equal heights (h). Therefore, if you know the length of two sides, you can use the formula to calculate the area of the isosceles triangle without the height.
1. Determine the length of two sides of the triangle.
2. Calculate the area of the triangle using the formula A = (1/2)bh, where b is the length of the base and h is the length of the two equal heights.
3. Plug the known values into the formula and solve for the area.
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which equation represents a line perpendicular to the given line x-4y=7
The equation of the line perpendicular to x - 4y = 7 can be written as:
y = 4*x + b
Where b could be any real number.
Which equation represents a line perpendicular to x - 4y = 7?Two lines are perpendicular if the product between the slopes of the lines is equal to -1.
Where a general line in the slope-intercept form is written as:
y =a*x +b
And the given line is:
x - 4y = 7
Writing this in the slope-intercept form we will get:
-4y = -x - 7
y = (-1/4)*x + 7/4
So the slope is -1/4, then the slope of our line must be such that:
a*(-1/4) = -1
a = -4*-1 = 4
a =4
So the line perpendicular to the given one is:
y = 4*x + b
Where b can be any real number.
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In deer, the gene $N$ is for normal coloring and the gene $a$ is for no coloring, or albino. Any gene combination with an $N$ results in normal coloring. The Punnett square shows the possible gene combinations of an offspring and the resulting colors from parents that both have the gene combination $Na$.
a. What percent of the possible gene combinations result in albino coloring?
$\%$
b. Show how you could use a polynomial to model the possible gene combinations of the offspring.
The gene combinations could be modeled by the polynomial
Using Punnett square we know that 25%of the possible gene combinations result in albino coloring.
What is Punnett square?The genotypes of a specific cross or breeding experiment are predicted using the Punnett square, a square diagram.
It bears Reginald C. Punnett's name, who developed the method in 1905.
Biologists use the figure to calculate the likelihood that a child will have a specific genotype.
So, there is only one gene combination that could result in albinism.
4 different gene pairings are possible.
The proportion of gene combinations that might result in albinism.
Coloring is, therefore:
Percentage = 1/4 * 100 = 25%
Therefore, using Punnett square we know that 25%of the possible gene combinations result in albino coloring.
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Correct question:
Genetics In deer, the gene N is for normal coloring and the gene a is for albino. Any gene combination with an N results in normal coloring. The Punnett square shows the possible gene combinations of an offspring and the resulting colors when both parents have the gene combination Na.
What percent of the possible gene combinations result in albino coloring?
To arrive at his appointment on time, Mr. Jones needs to drive from his home at the average speed of 60 mph. But traffic is heavy, so Mr. Jones drives 15 mph slower than planned and arrives at the appointment 20 minutes late. How many miles from his home is the appointment
On solving the provided question, we can say that by equation 60 miles from his home is the appointment
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
for d and t
60 = d/t
45 = d / t + 0.33
60t = d
45( t + 0.33) = d
60t = 45t + 15
t = 1 hour
d = 60 X 1 miles = 60 mile
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