Answer:
p = - 4
Step-by-step explanation:
- 0.9p + 3.2 = - 1.7p ( add 1.7 to both sides )
0.8p + 3.2 = 0 ( subtract 3.2 from both sides )
0.8p = - 3.2 ( divide both sides by 0.8 )
p = [tex]\frac{-3.2}{0.8}[/tex] = - 4
Answer: p=-4
Step-by-step explanation:
-0.9p+3.2=-1.7p
+0.9p +0.9p
3.2=-0.8p
32=-8p
p=-4
Prove 2n > n2. Decide for what integers n,the inequality is true. Use math induction to prove.
By substituting in n = 0, 1, 2... n (greater than or = to) 5 theequality is true.
1. Verify the basis.
Image for Prove 2^n > n^2. Decide for what integers n,the inequality is true. Use math induction to prove. By substituso 32 > 25.
So, P5 is true.
2. The Induction Step is where I need some help.
We can assume P_k is true for any n >= 5, which isImage for Prove 2^n > n^2. Decide for what integers n,the inequality is true. Use math induction to prove. By substitufor any k >= 5.
Need to show thatImage for Prove 2^n > n^2. Decide for what integers n,the inequality is true. Use math induction to prove. By substitu[This is where I'm stuck]
Both the second and the induction hypothesis result from the first inequality.
You established its validity for n=5. Let's now assume that it is true for some number n5. Its validity for n+1 is to be demonstrated. But
2n+1=2×2n>2×n2>(n+1)2.
The first discrepancy is a result of induction, and we are aware of the second (n−1)2≥42>2, since n≥5
We can widen this disparity (n−1)2>2 as follows:
n2−2n+1>n2−2n−1>2n2−2n−1>2n2>20n2n2+2n+1=(n+1)2,
which is the second inequality claimed in (♠)
2n+1=2n∗2>2n2=n2+n2>n2+2n+1=(n+1)2
2n+1>(n+1)2
Base case: n=5
(the problem states "n
greater than 4
choose the first matching integer, then.
25>52⟹32>25
Now, the Inductive Step:
2n+1>(n+1)2
now expanding
2∗2n>n2+2n+1
now we proved for the n+1 case
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Ch. 2 Activity - Creating and Using Frequency Distributions
N=30; Subjective Happiness Scores
Higher scores mean happier than lower scores (Min = 1; Max =
(1.2, 1.3, 1.1, 3.0, 3.5,
2.0, 3.5, 1.9, 3.8, 3.4,
1.0, 2.5, 3.0, 1.1, 1.5,
4.0, 3.2, 2.2, 2.3, 2.3,
3.0, 1.1, 3.4, 4.0, 4.0,
1.1, 2.2, 3.7, 4.0, 4.0)
Please create and interpret the following based on the above data:
• Simple frequency distribution
• Grouped frequency distribution
• Frequency Polygon
• Histogram
• What is the shape of the distribution? Please explain.
Create a bar graph using the following data: 30 students; 10 male and 20 female
The number of peaks, symmetry, tendency to skew, and homogeneity of a distribution are all indicators of its shape.
Explain about the shape of the distribution?
There are two types of data item distributions: symmetric and asymmetric. The "normal distribution" and the "skewed distribution" are two prevalent illustrations of both symmetry and asymmetry. The distribution's two halves are mirror images of one another in a symmetrical distribution.
The number of peaks, the presence of symmetry, the propensity to skew, and the homogeneity of a distribution all help to explain its shape. (Graphs with skewed distributions show a greater number of points on one side than the other.) PEAKS: Graphs frequently show maximums or peaks in a certain area.
Either a normal distribution or a normal curve. When dealing with such a distribution, the mean should be reported.
Simple Frequency Distribution:
A simple frequency distribution is a table that lists each unique score in the data set and the number of times that score appears.
Score Frequency:
1.0 3
1.1 3
1.2 1
1.3 1
1.5 1
2.0 1
2.2 2
2.3 2
2.5 1
3.0 2
3.2 1
3.4 2
3.5 2
3.7 1
3.8 1
4.0 5
Grouped Frequency Distribution:
A grouped frequency distribution is a table that groups the scores into ranges (also known as bins) and lists the number of scores that fall into each range.
Score Range Frequency
1.0-1.9 9
2.0-2.9 7
3.0-3.9 10
4.0-4.9 4
Frequency Polygon:
A frequency polygon is a graph that is created by connecting the midpoints of the top of the bars in a histogram. The x-axis represents the scores and the y-axis represents the frequency.
Histogram:
A histogram is a graph that represents the frequency distribution of a set of continuous data. It is similar to a bar graph, but the bars are adjacent to each other and there are no spaces between the bars.
Shape of the distribution:
The shape of the distribution is right-skewed, which means that the majority of the data is concentrated on the left side of the distribution and there is a long tail of data points on the right side. This is indicated by the fact that the majority of the scores are between 1 and 3, while only a few scores are at 4.0 or above.
Bar Graph:
__________
Male: |__|__|__|__|
10
____________________
Female: |__|__|__|__|__|__|
20
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Graph the piecewise function. You must graph on your own and not use a web-based program to graph. f(x)={(1/3 x-1" if " x≤0 -1/2 x+6" if " 0
Step-by-step explanation:
Here is a graph of the given piecewise function:
Graph of f(x)={(1/3 x-1" if " x≤0 -1/2 x+6" if " 0<x≤6
The graph of the given piecewise function is a straight line with two segments. The first segment, which lies between x = 0 and x = 6, has a slope of -1/2 and a y-intercept of 6. The second segment, which lies between x = 0 and x = -∞, has a slope of 1/3 and a y-intercept of -1.
quadratic factoring 9x^2-8x-20
The value of the quadratic equation is A = ( 9x + 10 ) ( x - 2 )
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
A = 9x² - 8x - 20 be equation (1)
On simplifying the equation , we get
A = 9x² - 18x + 10x - 20
On factorizing the equation , we get
A = 9x ( x - 2 ) + 10 ( x - 2 )
Taking the common factors in the equation , we get
A = ( 9x + 10 ) ( x - 2 )
So , when A = 0
( 9x + 10 ) = 0
x = -10/9
And , when ( x - 2 ) = 0
x = 2
Hence , the quadratic equation is A = ( 9x + 10 ) ( x - 2 )
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Find the area 13 mm times 26 mm times 15 mm times 32 mm
Answer:
Step-by-step explanation:
The area of square 1 is 13mm*26mm=338mm^2
The area of the second rectangle is 15mm*32mm=480mm^2
The are of both rectangles = 338mm^2+480mm^2=818mm^2
I need help I don’t know what this is and can’t get ahold of my teachers
Answer:
Below
Step-by-step explanation:
The zeroes are given as x = 0 and x = - 4
then the factorization would be ( x - 0 )( x - - 4) = x (x+4) = f(x)
consider a parallelogram with adjacent sides and . a. show that the diagonals of the parallelogram are and . b. prove that the diagonals have the same length if and only if 0. c. show that the sum of the squares of the lengths of the diagonals equals the sum of the squares of the lengths of the sides.'
The diagonals of a parallelogram are equal in length if and only if the parallelogram is a rectangle. The sum of squares of diagonals is equal to the sum of squares of sides.
We should consider a parallelogram shape that has sides named as and .
a. The corner to corner lines of the parallelogram can be marked as and . These two inclining lines cross each other at the focal point of the parallelogram, isolating each other into halves. This implies that the two inclining lines and have a similar length.
b. Assuming the inclining lines of the parallelogram have similar length, this implies that the parallelogram is really a square shape. This is on the grounds that in a square shape, every one of the sides are equivalent long. Then again, on the off chance that the parallelogram is a square shape, its inclining lines should have a similar length.
c. We can utilize the Pythagorean hypothesis to show that the amount of the squares of the lengths of the slanting lines is equivalent to the amount of the squares of the lengths of the sides. The Pythagorean hypothesis expresses that in a right triangle, the amount of the squares of the two more limited sides is equivalent to the square of the length of the longest side (the hypotenuse). On the off chance that we view at the parallelogram as two nearby right triangles, we can apply the Pythagorean hypothesis to every triangle. This gives us two conditions, and when we add these two conditions, we observe that the amount of the squares of the lengths of the inclining lines is equivalent to the amount of the squares of the lengths of the sides.
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What number has 3 ten thousands 2 more thousands than ten thousands, 3 more hundreds than thousands, 2 fewer tens than thousands, and 5 more ones than ten thousands?
the Number will be 35,838.
What is Place value?Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.
Given A number has 3 ten thousands 2 more thousands than ten thousands, 3 more hundreds than thousands, 2 fewer tens than thousands, and 5 more ones than ten thousands
Fill in a place value chart one step at a time.
3 ten thousands
ten thousands thousands hundreds tens ones
3 ? ? ? ?
2 more thousands than ten thousands(3 + 2 = 5)
ten thousands thousands hundreds tens ones
3 5 ? ? ?
3 more hundreds than thousands (= 3 + 5 = 8)
ten thousands thousands hundreds tens ones
3 5 8 ? ?
2 fewer tens than thousands(= 5-2 = 3 )
ten thousands thousands hundreds tens ones
3 5 8 3 ?
5 more ones than ten thousands (= 3 + 5 = 8)
ten thousands thousands hundreds tens ones
3 5 8 3 8
Therefore, the Number will be 35,838.
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prove there's always a real number greater than 0 for which the reciprocal of a natural number is less than it
Suppose the real number x is greater than 0. Then for any natural number n, the reciprocal of n, 1/n, is less than x if and only if n > 1/x.
Since 1/x is a positive real number, it is always less than a sufficiently large natural number, say N. Hence, 1/N < x.
Therefore, there exists a natural number for which the reciprocal is less than x.
Proof: Reciprocal of N Less Than XThe solution is based on the properties of real numbers and the notion that there is always a natural number greater than any positive real number.
For a given positive real number x, if we take a natural number n that is larger than 1/x, then the reciprocal of n, 1/n, will be less than x. This is because 1/n = n^(-1), which means the value of n^(-1) becomes smaller as n increases.
So, if we choose a sufficiently large natural number, its reciprocal will always be less than any positive real number x. This means that for any positive real number x, there is always a real number greater than 0 (1/n) for which the reciprocal of a natural number (n) is less than it (x).
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(4.8 x 10^7) + 6,500,500
[tex](4.8 \times 10^7) + 6,500,500[/tex]
[tex]48,000,000+6,500,500[/tex]
[tex]=\boxed{54,500,500}[/tex]
let a be a 32 matrix. explain why the equation axb cannot be consistent for all b in . generalize your argument to the case of an arbitrary a with more rows than columns. Why is the equation Ax=b not consistent for all b in set of real numbers R3? A.When written in reduced row echelon form, any 3 ×2 matrix will have at least one column of all zeros. Since there is not a pivot in every column, the matrix cannot be consistent.
B.When written in reduced row echelon form, any 3 ×2 matrix will have at least one row of all zeros. When solving Ax=b,that row will represent an equation with a zero on the left side and a possibly nonzero entry of b on the right side.
C.When written in reduced row echelon form, any 3 ×2 matrix will have at least one row of all zeros. When solving Ax=b, that row will represent an equation with infinitely many solutions.
D.When written in reduced row echelon form, any 3 ×2 matrix will have a pivot in every row. Because there are more rows thancolumns, this is too many pivots, and the system will be inconsistent.
"When written in reduced echelon form, any m×n matrix will have at least one row of all zeros. When solving Ax=b, that row will represent an equation with a zero on the left side and a possibly nonzero entry of b on the right side."
Now, According to the question:
"Information available from the question"
Let a be a 3 x 2 matrix. explain why the equation a x b cannot be consistent for all b in.
Since a 3x2 matrix only has 2 columns, matrix A can at most have 2 pivot columns and 2 pivot positions. This cannot fill all 3 rows w/ pivots so Ax=b can't be consistent for all b in R3. If A is an m x n matrix w/ m>n then A can have at most n pivot positions which isn't enough to fill all m rows, so Ax = b can't be consistent for all b in R3.
Hence, The correct option is (A)
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1. Select all the expressions equivalent to 54. (53)4. 0511 ☐ 516 0 548 0 54.5¹ 0 54.57 054.512 2.
An expression is equivalent to 54 if it represents the same numerical value as 54.
The following options are equivalent to 54:
53 + 1
54
54.5 - 0.5
54.57 - 0.07
54.512 - 0.512
The options that are not equivalent to 54 are:
(53)4
0511
516
054.512
Note that a number followed by a trailing zero is not equivalent to the same number without trailing zero as trailing zeroes don't change the value of the number.
A boat is heading towards a lighthouse, whose beacon-light is 111 feet above the water. From point AA, the boat’s crew measures the angle of elevation to the beacon, 6^{\circ}
∘
, before they draw closer. They measure the angle of elevation a second time from point BB at some later time to be 13^{\circ}
∘
. Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.
The distance between A and B is 575.21
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given that, A boat is heading towards a lighthouse, whose beacon-light is 111 feet above the water. From point AA, the boat’s crew measures the angle of elevation to the beacon, 6°, before they draw closer. They measure the angle of elevation a second time from point BB at some later time to be 13°
tan 6° = 111/base
base = 1056
tan 13°= 111/base-AB
base - AB = 480.79
AB = 575.21
Hence, the distance between A and B is 575.21
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A radio station asks its listeners to call in their opinion regarding the format of the morning show. What type of sampling is used? O A. Stratified O B. Simple random O C. Systematic OD. Cluster O E. Convenience Click to select your answer.
The sampling which represents the format of the morning show where a radio station asks its listeners to call and give their opinion is given by option B. Simple random sampling.
Simple random sampling represents the type of probability of the sampling.First collects the views of the participants from the population.Now researchers randomly selects the subset of the collected data.In radio station first data is collected by receiving the call of the listeners opinion about the format.Then randomly sample is selected from the whole data which represents the sample.Simple random sampling data is used to decide the format of the show.Therefore, the sampling which is used to decide the format of the show is option B . Simple random sampling.
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During practice, the players on a softball team warm up by running the bases. This graph shows the relationship between the number of hours, x, of practice the players attend and the number of minutes, y, the players spend running the bases.
How many minutes do the players spend running the bases during each hour of practice?
The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
In the context of this problem, the variables x and y are given as follows:
Variable x: number of hours.Variable y: time spent running the bases.The equation for the constant is given as follows:
k = y/x.
Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.
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IREADY MATH AREA QUESTIONS PLS HELP TTYYY!!
A circle has a diameter of 10 cm. A rectangle has a length of 10(pie)cm and a width of 5 cm.
Determine how the areas of the circle and the rectangle are related.
Use the drop-down menus to describe how the areas are related.
Area of circle: A = (pie)r²
1) The rectangle's length is equal to ______of the circle,
THIS BLANKS OPTION CHOICE:
A) the radius
B) the diameter
C) the circumference
D) half the circumference
E) twice the circumference
2) while the The rectangle's length is equal to rectangle's width is equal to _______. the circle.
THE BLANKS OPTION:
A) the radius
B) the diameter
C) the circumference
D) half the circumference
E) twice the circumference
3) So, the area of the circle is _______ of the Pick of area of the rectangle.
THE BLANK ANSWER CHOICES:
A) one fifth
B) two fifths
C) one half
D) twice
The rectangle's length is equal to the circumference of the circle, while the the rectangle's width is equal to radius of the circle. So, the area of the circle is one half of the area of the rectangle.
How to calculate the circumference of a circle?Mathematically, the circumference of a circle can be calculated by using this mathematical expression:
C = 2πr or C = πD
Where:
C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.Note: Radius = diameter/2 = 10/2 = 5 cm.
Mathematically, the area of a circle can be calculated by using this formula:
Area of a circle = πr²
Area of a circle = 25π cm².
Mathematically, the area of a rectangle can be calculated by using this formula:
Area of a rectangle = LW
Where:
W represents the width of a rectangle.L represents the length of a rectangle.Area of a rectangle = 10π × 5
Area of a rectangle = 50π cm².
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9. An _________ is any one of the possible results of an action
An outcome is any one of the possible results of an action
How to complete the statementAn outcome is a result of an action, experiment, or random process. In probability, the outcome is a single event or the result of a random experiment.
For example, when you roll a die, the outcome can be any of the numbers from 1 to 6.
In a coin flip, the outcomes are heads or tails.
The set of all possible outcomes of a random experiment is called a sample space.
An outcome can be represented by a single element of the sample space, and the collection of all possible outcomes is called the event.
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cody has a 3 piece of yarn that is 6 feet long. he needs to cut it into 7 equal pieces for a project. in feet how long will each piece be?
The length of each piece of yarn in mixed fraction form if total length is 18 feet, is 2(4/7) feet each for 7 pieces.
What is fraction?
In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.
The number of pieces of yarn Cody has = 3
Length of 1 piece of yarn = 6 feet
The number of pieces Cody needs to cut is = 7
The total length of yarn = Number of pieces of yarn × Length of 1 piece of yarn
Apply the arithmetic operation of multiplication.
Substitute the values into the equation -
The total length of yarn = 3 × 6
The total length of yarn = 18 feet
The length of each yarn piece = Total length of yarn / Number of pieces Cody needs to cut
Apply the arithmetic operation of division.
Substitute the values into the equation -
The length of each yarn piece = 18 / 7
The result is obtained in a fractional form -
The length of each yarn piece = 2(4/7)
Therefore, the length of each piece is 2(4/7) feet.
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A group of 3 friends buy a nintendo switch each. The nintendo switch is $500. The tax is 5%. How much do you have to pay for ALL of the nintendos.
Question 2 0 / 1 pts In Old English (OE), endian-endode-endod (end/ended/ended in ModE) is an example of a form of verb inflection. base
In Old English (OE), endian-endode-endod (end/ended/ended in ModE) is an example of a base form of verb inflection.
The base form of the verb "end" in Old English is "endian." This form is used as the root or base form from which other forms of the verb are derived. In this case, "endian" is inflected to "endode" to indicate a past participle form, and to "endod" to indicate a simple past form.
This is an example of a base form of verb inflection, where the base form of a verb is altered to indicate tense, aspect, or voice. This type of inflection is common in older languages like Old English, but has since declined in use in modern English, where auxiliary verbs and word order are used to convey tense and aspect.
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I suck at these can anyone help, I have more after this
Question 11(Mutiple Choice Worth 4 points)
(05.06 MC)
Dominique is selling merchandise for a school fundraiser. She is selling calendars for $8 each and coffee mugs for $10 each. She must sell at least $600 of merchandise, including at least 40 calendars, to meet her goals.
Exrepresents the number of calendars and y represents the number of mugs, which system of inequalities represents this scenario?
8x + 10y > 600 and y > 40
8x + 10y > 600 and x > 40
8x + 10y > or equal to 600 and y > or equal to 40
8x + 10y > or equal to 600 and x > or equal to 40
Answer: D
Step-by-step explanation:
since she must sell at least 40 mugs to meet her goal, y must be greater than or equal to 40
In another map 10 cm represents 5,000 m. Calculate the R.F.
Answer:
Below
Step-by-step explanation:
1cm on the map is 500 m
1 cm on the map is 50000 cm
1:50000
 Jill solves the equation: 3(x - 5) + 2x = 0
Fill in the blanks with the correct values,
3x +
+ 2x = 0
5x =
X=
Word Bank:
-15 -5 1
5 3 15 -3 15
Blank 1:
Blank 2:
Blank 3:
Problem 2.20. (The Glossary: Definitions and Theorems) State precisely the following definitions and theorems. (1) The Linearity Property for sums.
(2) The Telescoping Property for sums. (3) The Geometric Property for sums. (4) The Associativity Property for sums. (5) Σk = (6) Σk^-2 = (7) Σk^-3 =
(1) The Linearity Property for sums states that the sum of two sums is equal to the sum of the individual terms. That is, if a and b are two sums, then a + b = Σ(a + b).
(2) The Telescoping Property for sums states that the sum of a sequence of terms can be expressed as the difference between two terms. That is, if a1, a2, …, an are terms of a sequence, then Σai = a1 - an.
(3) The Geometric Property for sums states that the sum of the first n terms of a geometric sequence is equal to the product of the first term and the sum of the common ratio raised to the nth power. That is, if a is the first term and r is the common ratio, then Σa_i = ar^(n-1).
(4) The Associativity Property for sums states that changing the order of terms in a sum does not affect the result. That is, if a is a sum, then a = Σa = Σ(Σa).
(5) Σk = ∑k = the sum of the first k terms of a sequence.
(6) Σk^-2 = ∑k^-2 = the sum of the inverse of the first k terms of a sequence.
(7) Σk^-3 = ∑k^-3 = the sum of the inverse of the cube of the first k terms of a sequence.
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Please help me with the following question.
The answers are: (a) 0.2224, (b) 0.7776, (c) 0.3545, (d) 0.5785
What do you mean by probability?Probability is a branch of mathematics that deals with the likelihood or chance of an event happening. It is a number between 0 and 1 that indicates the likelihood of an event occurring, with 0 meaning that an event is impossible and 1 meaning that an event is certain to occur.
Probability is used to model and make predictions about real-world situations such as the outcome of a coin flip, the results of a survey, or the success of a marketing campaign. It is also used in many fields including statistics, finance, engineering, and sciences to make decisions based on uncertain data.
The problem requires the use of the normal approximation to the binomial distribution to estimate the probabilities. Let X be the number of flights that arrive on time out of 186 flights. Then X follows a binomial distribution with parameters n = 186 and p = 0.88.
We can use the normal approximation to estimate the probability of X taking different values. Let's denote the mean and standard deviation of X as mu and sigma respectively:
mu = np = 186 × 0.88 = 163.68
sigma = √(np(1-p)) = √(186 × 0.88 × 0.12) = 5.55
(a) P(159) = P(X = 159) can be estimated using the normal distribution using the Z-score:
Z = (159 - mu) / sigma = (159 - 163.68) / 5.55 = -0.77
P(159) ≈ P(Z < -0.77) ≈ 0.2224 (using a standard normal table)
(b) P(X ≥ 159) can be estimated using the cumulative distribution function:
Z = (159 - mu) / sigma = (159 - 163.68) / 5.55 = -0.77
P(X ≥ 159) = P(Z ≥ -0.77) = 1 - P(Z < -0.77) = 1 - 0.2224 = 0.7776
(c) P(X < 161) can be estimated using the cumulative distribution function:
Z = (161 - mu) / sigma = (161 - 163.68) / 5.55 = -0.36
P(X < 161) = P(Z < -0.36) = 0.3545 (using a standard normal table)
(d) P(161 ≤ X ≤ 174) can be estimated using the cumulative distribution function:
Z1 = (161 - mu) / sigma = (161 - 163.68) / 5.55 = -0.36
Z2 = (174 - mu) / sigma = (174 - 163.68) / 5.55 = 1.51
P(161 ≤ X ≤ 174) = P(Z1 < Z < Z2) = P(Z < 1.51) - P(Z < -0.36) = 0.9330 - 0.3545 = 0.5785
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What's 4 divided by 1
_
6
The value of 4 divided by 1/6 is 24
How to evaluete the quotientFrom the question, we have the following parameters that can be used in our computation:
4 divided by 1/6
Next, we represent the statement as an expression
So, we have the following representation
4 / (1/6)
Dividing 4 by 1/6 is the same as multiplying 4 by 6/1, which is:
4 * 6/1
Evaluate the products
So, we have the following representation
24/1
Evaluate the quotient
So, we have the following representation
= 24
The above represents the solution
So 4 divided by 1/6 equals 24.
Hence, the solution is 24
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sync
Equip Pre-Module Assessment, Grade 7, Module 4
Trish types at a constant rate. Use the double number line to complete the following sentences.
0
700
20
1,400
Trish can type
40
Trish can type 1,400 words in 10
2,100
60
minutes.
words in 50 minutes.
# of words
# of minutes
Trish can type 1400 words per minute if she writes 1400 words in 10 minutes, or 1400 per 600 seconds.
what is unitary method ?The device technique is a method for addressing issues that entails first figuring out the value of a single entity, then increasing that value to figure out the needed value. For example, 40 pens would cost 400 rupees, which in itself is equal to the cost of one pen. This procedure could follow a regular procedure. a single nation. anything has a distinct identity. Its adjoint and reciprocal are equal in terms of mathematics, algebra, linear algebra, numerical modeling, or math and science of matrices or operators.
given
To calculate the time required, divide the document's length by the word-per-minute rate.
After that, divide the number of minutes by the number of hours.
It takes four hours and ten minutes to complete 250 minutes.
1400 words in 10 minutes
10 minutes = 10 * 60 seconds
= 600 sec
Trish can type 1400 words per minute if she writes 1400 words in 10 minutes, or 1400 per 600 seconds.
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Please help me with this question.
(a) sin(2θ) = 2sin(θ)cos(θ)
(b) cos(2θ) = cos²(θ) - sin²(θ) = 2cos²(θ) - 1 = 1 - 2sin²(θ)
By using the addition and subtraction formulas, we can express 2θ in terms of θ, but we cannot reduce 2θ to θ.
Sin is what?
The sine function in trigonometry is the ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle. To determine a right triangle's unknown angle or sides, utilize the sine function.
The sine function for any right triangle with an angle, let's say ABC, will be:
Opposite/hypotenuse = Sin(θ)
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convert R1 220 to Euros if 1Euro = R17,89.
Answer:
81.3181818
Step-by-step explanation:
Also, did you put the comma in the wrong place? did you mean 1,789? if so the answer would be 8.13181818.
