The point 4 units along the curve (in the direction of increasing t) from P exists as t = ln |L/2 + 1|.
What is meant by arc length of the function?When a particle's position in space is represented as a function of time by a vector-valued function, the arc-length function calculates the particle's travel distance as a function of time.
The length of an arc is the separation of two locations along a segment of a curve. Curve rectification is the process of measuring an irregular arc segment's length by simulating the section as a network of connected line segments. A rectifiable curve can be broken down into a finite number of segments.
(a) Let the given function be r(t) = [tex]e^t[/tex] sin t i + √2 [tex]e^t[/tex] k
To find the arc length of the function, we have:
[tex]& \mathrm{r}^{\prime}(\mathrm{t})=\mathrm{e}^t \\[/tex]
[tex]& \mathrm{r}^{\prime}(t)=(\cos t+\sin t) e^t+(\cos t-\sin t) e^t+\sqrt{2} e^t \\[/tex]
[tex]& \left|r^{\prime}(t)\right|=\sqrt{\left[(\cos t+\sin t) e^t\right]^2+\left[(\cos t-\sin t) e^t\right]^2+\left(\sqrt{2} e^t\right)^2}[/tex]
simplifying the above equation, we get
[tex]& =\sqrt{\left(4 e^{(2 t)}\right)} \\[/tex]
[tex]& =2 \mathrm{e}^t[/tex]
(b) We have the arc length function, L to be the integral from 0 to t, so:
[tex]$& L=\int_0^t 2 e^v \\[/tex]
simplifying the above equation, we get
[tex]& L=2 e^t-2 e^0 \\[/tex]
[tex]& =2 e^t-2 \\[/tex]
[tex]& L=2\left(e^t-1\right) \\[/tex]
simplifying the above equation, we get
[tex]$& L / 2=e^t-1 \\[/tex]
[tex]& L / 2+1=e^t[/tex]
[tex]e^t[/tex] = L / 2+1
t = ln |L/2 + 1|
The complete question is:
A. Find the arc length function for the curve measured from the point P in the direction of increasing t and then reparametrize the curve with respect to arc length starting from P.
b. Find the point 4 units along the curve (in the direction of increasing t) from P.
r(t) = et sin t i + √2 et k, P(0, l ,√2)
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1. (xa – 1)3(xa – 4)-2
Answer:
3x2a2-15xa+10
Step-by-step explanation:
there are 6 students in the class. one of them is to be selected as the best student and another student is to be selected as a runner-up. how many different ways can this be done?
If there are 6 students and one is selected for best student and another is selected for runner up, then 15 different ways that we can arrange the students
Total number of students in the class = 6 students
Number of students for best student = 1 student
Number of students for runner up = 1 students
Total number of students needed = 2
Here we have to use the combination
6[tex]C_2[/tex] = 6! / 2!(6 - 2)!
= 6! / 2! × 4!
Split the terms and cancel it
= 6 × 5 / 2 × 1
Multiply the terms
= 30 / 2
Divide the numbers
= 15 combinations
Therefore, there are 15 combinations
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Triangle ABC is dilated. The image is A'B'C'
Find the value of x.
Answer:
x = 2
Step-by-step explanation:
6 : 4 = 3 : x
x = 4 * 3 / 6
x = 4/2
x = 2
The value of x in the given figure is 2
What is dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.
Given that, Triangle ABC is dilated into A'B'C'
We know that dilated triangles are similar
Hence, their corresponding sides are in equal ratio,
BC : B'C' = AC : A'C'
6 : 4 = 3 : x
x = 4 × 3 / 6
x = 4/2
x = 2
Hence, The value of x in the given figure is 2
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Original TV cost: $700
Current TV cost: $500
Find the percent of decrease
round to the nearest whole percent
Answer: 29%
Step-by-step explanation:
To find the percent of decrease, you need to first calculate the difference between the original cost and the current cost of the TV. You can do this by subtracting the current cost from the original cost: $700 - $500 = $200.
Next, divide the difference by the original cost and multiply by 100% to express the result as a percentage: ($200 / $700) * 100% = 28.57%.
Rounding this result to the nearest whole percent, we get that the percent of decrease is 29%.
Rounded to the nearest whole percent, the answer is 29%.
Ahmad thinks of a number, n. He adds 4 then multiplies the result by 3. Which of these expressions is correct expression for Ahmad's number?
The expression when Ahmad thinks of a number, n. He adds 4 then multiplies the result by 3 is 3(n + 4).
How to calculate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
In this scenario, Ahmad thinks of a number, n. He adds 4 then multiplies the result by 3.
This will be:
= (n + 4) × 3
= 3(n + 4).
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Lixin can type 2400 words in 3 hours. Find how many words can he write in 40 minutes.
Answer:
533
Step-by-step explanation:
3 hours = 180 minutes
2400 : 180 = x : 40
x = 2400 * 40 / 180
x = 2400 * 4 / 18
x = 2400 * 2 /9
x = 800 * 2 / 3
x = 1600/3
x = 533.333333
x = 533
How do you convert 0.23 (3 repeating) as a fraction?
[tex] \frac{7}{30} [/tex]
The solution is attached to the answer.
Hope understands
Ben reads 6 pages of a book in 8 minutes, 9 pages in 12 minutes, and 30 pages in 40 minutes.
If m represents the number of minutes and p represents the number of pages, which equation represents the number of pages Ben reads per minute?
The equation that represents the number of pages Ben can read per minute is p = (3/4)m.
What is Direct Proportion:
The two quantities are said to be in a directly proportionate relation when the connection between them is such that if we increase one, the other will also increase, and if we reduce one, the other quantity will also drop.
If x and y are in direct proportion then
=> x ∝ y
=> x = ky [ where k is constant ]
Here we have,
Ben reads 6 pages in 8 minutes
9 pages can be read in 12 minutes
30 pages can be read in 40 minutes
And the number of minutes = m
Number of pages = p
If observe the given data,
When the number of pages increases, the number of minutes are also increasing, So here we can conclude that the number of minutes is directly proportional to the number of pages
=> p ∝ m
=> p = km --- (1)
[ where k is constant ]
From the given data,
At p = 6 pages, m = 8 minutes
=> 6 = k(8)
=> k = 6/8 = 3/4
From (1)
=> p = (3/4)m
Therefore,
The equation that represents the number of pages Ben can read per minute is p = (3/4)m
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suppose the interval [-4,4]is divided into n=4 equal subintervals. what are the right endpoints, left endpoints, and midpoints of these intervals?
For the subintervals -
right endpoints: [2,4]left endpoints: [-4,-2]midpoints: [-2,0] and [0,2]Explain the term subintervals?Either of numerous smaller intervals through which a larger interval is divided. A division of an interval into subintervals is called a partition; the subintervals are the subintervals that make up the partition, in a sense. The width of a widest subinterval, not the partition's sidest subinterval, serves as the partition's norm.For the stated intervals;
interval [-4,4]
Total interval length;
= 4 - (-4)
= 4 + 4
= 8
Divide the interval in n=4 equal subintervals.
8/ 4 =2
First subinterval; [-4,-2]
Second subinterval; [-2,0]
Third subinterval; [0,2]
Fourth subinterval; [2,4]
Thus,
right endpoints: [2,4]
left endpoints: [-4,-2]
midpoints: [-2,0] and [0,2]
Thus, the subintervals of the given interval [-4,4] is obtained.
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which equation is equivalent to 32x−4y 1=0?
y = 3/8x + 1/4 is equation of linear equation .
What in mathematics is a linear equation?
An algebraic equation of the form y=mx+b is referred to as a linear equation. with m the slope and b the y-intercept as the single constant and a first-order (linear) term.
The aforementioned is occasionally referred to as a "linear equation of two variables," where y and x are the variables.
There are three main types of linear equations: point-slope form, standard form, and slope-intercept form.
3/2x -4y+1=0
-4y = -3/2x - 1
y = 3/8x + 1/4
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The complete question is -
Which equation is equivalent to 3/2x -4y+1=0
Please help,100 points will give the brainiest.
Given the equation, 3x2 + 4x – 2 = 0, calculate the discriminant and determine the number and nature of the solutions.
1.d = 40; 2 irrational
2.d = 40; 2 rational
3.d = −8; 2 complet
Answer:
first option
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
then the nature of the roots can be found using the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 , then the 2 roots are real and irrational
• If b² - 4ac > 0, and a perfect square, then 2 roots are real and rational
• If b² - 4ac = 0 , then 2 roots are real and equal
• If b² - 4ac < 0 , then 2 roots are not real
3x² + 4x - 2 = 0 ← is in standard form
with a = 3, b = 4 and c = - 2 , then
b² - 4ac = 4² - (4 × 3 × - 2) = 16 - (- 24) = 16 + 24 = 40
since b² - 4ac > 0 , then 2 real and irrational roots
Answer:
2. d = 40; 2 rational
Step-by-step explanation:
The discriminant (d) of a quadratic equation [tex]ax^2 + bx + c = 0[/tex] is:
[tex]\boxed{\mathrm{d =} \ b^2 - 4ac}[/tex].
If:
• d > 0, then there are two real solutions
• d = 0, then there is a repeated real solution
• d < 0, then there is no real solution.
In this question, we are given the quadratic equation [tex]3x^2 + 4x - 2 = 0[/tex]. Therefore, the discriminant of the equation is:
b² - 4ac = (4)² - 4(3)(-2)
= 16 - (-24)
= 40
Since the discriminant, 40, is greater than zero, the quadratic equation has 2 rational solutions.
if sin (2x) = a and 0 < x < pi/2 then sin x is equal to which of the following and why?
a) a
b) a/2
c) 2a
d) a cos x
e) a sex x
explain pleaseee
The solution to the equation are x=a
How to determine the value of sin (2x) = a ?The given equation is sin (2x) = a and 0 < x < pi/2
Sin(2x) = sin x, 0≤x≤2п ........................... (eq. 1)
Using the trigonometrical formula,
sin(2x) = sin xcosx
Let us subtract the formula from equation 1
2sinxcosx = sinx
Therefore, 2sinxcosx-sinx = 0
Let us remove common terms to get
sinx(2cox-1)=0
Now, sinx=0
x= 0, [tex]\pi[/tex], [tex]2\pi[/tex]
Also, 2cos x =1
This means that cos x = 1/2
By implication, x=cos⁻¹(1/2)
That is to say that x= [tex]\frac{\pi }{3} , \frac{5\pi }{3}[/tex]
In conclusion, the value of [tex]\pi[/tex] is a as a single integer
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if the population of the small town is currently 7,900 people, how many years will it take for the population to reach 4,300 people?
Answer: 12 years
Step-by-step explanation:
We know that the population decrease rate is 4% each year
So take 7900 times 0.04% = decrease 316 people each year
Then take 7900 - 4300 = 3600 people need to get there
Then take 3600 divided by 316 = 12 years
three free throws are awarded if the player is fouled while shooting for a three-point goal and they miss their shot. suppose steph curry is fouled while shooting a three-point goal and misses his shot. the probability of steph curry making a free throw is 90%. what is the probability that he makes the first and second free throw, but misses the third free throw? please type your solution (as a decimal) in the text entry box provided.
The probability that Steph Curry makes the first 2 free throws and misses the last throw is 81/1000
Let A be the event that Steph Curry makes the free throw.
Let B be the event that Stech Curry does not make the free throw.
According to the problem,
P(A) = 90%
= 9/10
Since B is the complement of A,
P(B) = 1 - P(A)
= 1/10
Hee, Steph Curry gets 3 free throws. Hence, the probability that he makes the first 2 throws while he misses the third one is
P(A) X P(A) X P(B)
= 9/10 X 9/10 X 1/10
= 81/1000
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what is an equation of a horizontal line that passes through the point (9, 3)?
y=3 is the equation of a horizontal line that passes through the point (9, 3)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
If a line passes through a point (x₁, y₁) and has a slope of m, then the
equation of the line is given by (y-y₁) = m(x-x₁).
Because the question states the line is horizontal, the slope is zero, or m=0.
Plugging the information into the slope equation gives:
(y-(3)) = 0(x-(9)).
y-3= 0
y= 3.
Hence, y=3 is the equation of a horizontal line that passes through the point (9, 3).
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use the completed punnett square in part b to answer the questions below about the f2 generation. drag the probabilities on the left to the blanks on the right to answer the questions. terms can be used once, more than once, or not at all. view available hint(s)for part c resethelp 964964 2323 27642764 63646364 1414 164164 916916 1 0 3434 1212 1313 1. what is the probability that an f2 seed chosen at random will be yellow? blanktarget 1 of 4 2. what is the probablity that an f2 seed chosen at random from among the yellow seeds will breed true when selfed? blanktarget 2 of 4 3. what is the probability that three f2 seeds chosen at random will include at least one yellow seed? blanktarget 3 of 4 4. what is the probability that three f2 seeds chosen at random will include one green seed and two yellow seeds? blanktarget 4 of 4
1) The probability of F2 seed chosen at random will be yellow is the same as asking about the probability of forming a yellow seed in that generation. The answer is 3/4 (75%) because 1/4 = 25% GG is homozygous dominant and the rest 2/4 = 50% Gg are heterozygous.
2) In the F2 generation there are two genotypes that will breed true, which is homozygotic genotypes: GG and gg. But of these two, only one of them is yellow. The answer is 1/3 because from all the yellow seeds that resulted (GG, Gg and gG) only one has the genotype for true breeding.
3) The probability of taking out three seeds in which a least one is yellow can be calculated by subtracting the only probability that doesn't fit the criterion, which is taking out a green seed 3 times: = 1/64.
Then subtract that to 1 = 63/64
4) there are three possible groupings in which the green is taken once and the yellow seeds taken twice. The first possibility (follow the example) is the green being the first to come out, another possibility is being the second and the last possibility is being taken in the third time.
For example, Green yellow yellow- probability :
= 9/64
This is one possibily, but since there are 3, multiply it by 3 and you obtain the final answer:27/64.
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a closed rectangular box with volume 6 cubic feet is made from two different types of cardboard. the top and bottom are made with a heavy-duty cardboard that costs 30 cents per square foot. the sides are made from a light-weight cardboard that costs 5 cents per square foot. find the dimensions of the box that yield the lowest cost.
As per area of rectangle, the dimensions of the box that yield the lowest cost is (1,1,6)
Area of rectangle:
The standard formula for area of rectangle is calculated as,
A = length x breadth
Given,
A closed rectangular box with volume 6 cubic feet is made from two different types of cardboard. the top and bottom are made with a heavy-duty cardboard that costs 30 cents per square foot. The sides are made from a light-weight cardboard that costs 5 cents per square foot.
Here find the dimensions of the box that yield the lowest cost.
Here let's consider the dimensions of the rectangular box be length l, breadth is b, and height is h.
Now, from the given information, the total cost can be derived as,
=> C=2lb×48+(2bh+2lh)×8
=> C=96lb+16bh+16lh
=> C=16(6lb+bh+lh) -----------------→(1)
Then the given volume is, V = lbh = 6 ---------------→(2) cubic feet.
Then the equation 2,
=> lbh = 6h = 6/lb
And then we have to substitute the value of h in equation 1, we get
=> C(l,b,h)=16(6lb+6/l+6/b)
Now we need to minimize the resulting function of two variables.
Therefore, we need to partially derivative the above function with respect to l,b. And set these equal to zero.
And the for l=0,b is undefined. So we can eliminate l=0.
Here we have to substitute l=1,b=112⇒1 in equation 2, we get
=> lbh=6(1)(1)h=6h=6h=6
Therefore, the critical point is, (1,1,6)
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Thank you to whoever answers!!
Answer: whats up
hello
Step-by-step explanation:
Please help asap
The number of people attending Convention A can be modeled by
f(x) = 1200 • 0.95^x, where x is the number of years that the convention has been
occurring. The number of people attending Convention B was 2200 in year 1 and 2100 in year 2. Which convention’s attendance is decreasing at a greater rate? Explain your reasoning.
For the given conditions convention B attendance is decreasing at a greater rate.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that, the number of people attending convention A can be modeled by the function as,
f(x) = 1200 • 0.95ˣ
where x is the number of years that the convention has been occurring.
The number of people attending convention A in year 1,
f(x) = 1200 × 0.95¹
f(x) = 1140
The number of people attending convention A in year 2,
f(x) = 1200 × 0.95²
f(x) = 1083
The number of people decreasing in the Convention A,
=1140 - 1083
=57
If the number of people attending Convention B was 2200 in year 1 and 2100 in year 2. The number of people decreasing in the Convention B,
=2200-2100
=100
Thus, for the given conditions convention B attendance is decreasing at a greater rate.
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Construct a truth table for the following expression: (A + B) · A
the truth table of expression (A+B).A is T ,T ,F,F . A truth table has one column for each input variable (such as P and Q) and a final column that lists all potential outcomes.
what is Truth table ?Truth tables are mathematical tables that are used in logic, specifically in relation to Boolean algebra, Boolean functions, and propositional calculus. They contain the functional values of logical expressions on each of their functional arguments, or more specifically, for each combination of values that their logical variables can take.
given
( A+B) . A
A B (A + B) (A+B).A
T T T T
T F T T
F T T F
F F F F
So , the truth table of expression (A+B).A is T ,T ,F,F .
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How many times smaller is 1.9 × 103 than 4.085 × 105?
0.46
2.15
46
215
1.9 × 10³ is 2.15 times more than 4.085 × 10⁵
Calculating how many times a number is smaller than another:To find how many times a number can be smaller than another number we need to divide the large number by the smaller number.
Example: how many times 5 is smaller than 25
=> 25/5 = 5 [ Since 5(5) = 25 ]
Here we have
1.9 × 10³ and 4.085 × 10⁵
Let the number 1.9 × 10³ is x times smaller than 4.085 × 10⁵
Then 1.9 × 10³ (x) must be equal to 4.085 × 10⁵
=> 1.9 × 103 (x) = 4.085 × 105
=> x = [tex]\frac{4.085 \times 105 }{1.9\times 103 }[/tex]
=> x = [tex]\frac{428.925 }{195.7 }[/tex]
=> x = 2.1917475 ≅ 2.15
Therefore,
1.9 × 10³ is 2.15 times smaller than 4.085 × 10⁵
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Complete the series 1,1,4,12,__
Hi how are you call 112 you will get nice
Three friends are buying food for and end-of-school party. Adrian spends $16 for 2 pounds is sliced turkey. The turkey costs $_____ per pound.
Answer:
$8 per pound
Step-by-step explanation:
16/2 = 8
Answer: $8
Step-by-step explanation:
16 divided by 2 = $8 per pound
Which graph shows a decreasing function in interval (1), an increasing function in interval (2), a constant function in interval (3), and a decreasing function in interval (4)?
The graph that shows the function with the determined behavior is the last graph, circled on the image given at the end of the answer.
How to determine the behavior of the function?The graph of a function is classified as either increasing, decreasing or constant, as follows:
Increasing: as x increases the function increases, that is, the graph moves up.Decreasing: as x increases the function decreases, that is, the graph moves down.Constant: as x increases the function remains constant, that is, the graph stays at the same position.Hence the fourth graph on the image given at the end of the answer is the one with the desired behavior on each interval.
Missing InformationThe graphs are given by the image shown at the end of the answer.
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Shannon says that the lines y=-3x-4,y=-(1)/(3)x+6,y=-4x-5, and y=(1)/(4)x-5 could represent the sides of a rectangle. Explain Shannon's error.
The disadvantage is that the coefficients of x in the four equations can only take two values, so if one of every values is m, the alternative will be -1/m.
What is the equation?
A relationship between two terms on either side of an equal sign is depicted by a straightforward equation.
Simple equations also pursue one or a mixture of the four arithmetic computations of addition, simple arithmetic, multiplication, and division.
There are three basic forms of the system of equations: point-slope form, standard form, and slope-intercept form.
So, Shannon's error:
In a rectangle, the neighboring sides are perpendicular to one other, whereas parallel runs between the opposing sides.
The slope of line segments is equal, and the slope, of a perpendicular line to some other line with a slope, m, is -1/m , thus the slopes of the axis of symmetry should be equal, which gives:
The equation should consist of two sets of linear equations with equal slopes: B. Pair y = -x + 6 and y = -x - 5
Therefore, the slopes of the other two lines are -1/-1 = 1 and the equations of the other two lines are y = x - 4 and y = x - 5 respectively.
Therefore, the disadvantage is that the coefficients of x in the four equations can only take two values, so if one of every values is m, the alternative will be -1/m.
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Microsoft Excel Assessment Which chart type can display two different data series as different series types within the same chart? 60% 50% 4096 30% 20% 11 10% 0% France Austria Spain Germany Portugal Forested area (%) Agricultural land (%) bubble chart
An Excel Combo Chart can display two different data series as different series type. A single Excel chart with two Y-axis that allows users to compare data is known as a combo chart.
How do you arrange data in a combo chart?
Step 1: Arrange the data in the worksheet's columns and rows.
Step 2: Choose the information.
Step 3: Click the Combo chart icon on the Ribbon under the Charts group on the INSERT tab.
Step 4: Click each icon with your mouse.
step 5 Double-click the chart type that suits your data.
What is a combo chart?A combo chart combines two column charts, two line graphs, or a column chart and a line graph into one visual representation.
An Excel Combo Chart can display two different data series as different series type. A single Excel chart with two Y-axis that allows users to compare data is known as a combo chart.
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Data Plan A charges a $52 monthly fee for 3GB and then charges $3 for each additional GB. Data Plan B charges a $65 monthly fee for 5GB and then charges an additional $1.75 for each additional GB. At which point is Plan A a better deal than Plan B?
Answer:
Plan A is a better deal than Plan B when you use more than 10.4 GB of data in a month. For any usage lower than that, Plan B would be the cheaper option.
Step-by-step explanation:
To determine at which point Plan A is a better deal than Plan B, we need to compare the total cost of each plan for a given amount of data usage.
The total cost of Plan A for 3GB of data is $52 per month. For every additional GB of data, the cost is $3, so if we use x GB of data beyond the included 3GB, the total cost of Plan A would be $52 + $3x.
The total cost of Plan B for 5GB of data is $65 per month. For every additional GB of data, the cost is $1.75, so if we use x GB of data beyond the included 5GB, the total cost of Plan B would be $65 + $1.75x.
To determine at which point the total cost of Plan A is less than the total cost of Plan B, we can set the two equations equal to each other and solve for x:
$52 + $3x = $65 + $1.75x
$1.25x = $13
x = $13 / $1.25
x = 10.4
Therefore, Plan A is a better deal than Plan B when you use more than 10.4 GB of data in a month. For any usage lower than that, Plan B would be the cheaper option.
5. Which of the following is a correct statement, where r(t) = (0, 1,t)? e) 2 (a) [r(t) dt=<0,t,5 (b) / r(t) dt=(0,t,-5〉+c. (c) | r(t) dt =〈0.t.-5) + c. (d) / r(t) dt = (0,t,,) + (c,c, c). (e) None of the other choices. 2
∫[tex]r(t)dt=[/tex][tex](0,t,\frac{t^2}{2} )+c[/tex] is accurate in its statement.
A definite integral whose limits are functions of the differential variable can be differentiated using Newton Leibniz Theorem's formula. Differentiation under the integral sign is another name for this. When limits are functions of the differential variable, the Newton Leibniz Theorem makes it simple to handle problems involving the differentiation of a definite integral.
Suppose that F(x) is a function whose derivative is f(x). Consequently, abf(x) dx = F(b) - F (a).
The Newton Leibniz Theorem can be used to determine the derivative of a definite integral when the limits of a definite integral are functions of t and the integrands are functions of x or vice versa.
As a result, statement C is the appropriate response.
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A 100g packet of coffee costs £8.10
A 25g packet of the same coffee costs £2.05
Which packet is better value for money?
Show how you decide.
How many 250g packets of biscuits can be made from 2kg of biscuits
Answer: 250 grams/packet = 8 packets.
Step-by-step explanation:
To find the number of 250g packets of biscuits that can be made from 2kg of biscuits, we need to first convert the weight of the biscuits to the same unit of measurement. Since 1 kilogram is equal to 1000 grams, 2kg of biscuits is equal to 2000 grams. Therefore, the number of 250g packets of biscuits that can be made from 2kg of biscuits is 2000 grams / 250 grams/packet = 8 packets.
Step-by-step explanation:
1 kg = 1000 g
as k stands for "kilo" meaning 1000.
250 g fit therefore 4 times into 1 kg.
and then 2×4 = 8 times into 2×1 = 2 kg.
so, there can be 8 250 g packets made from 2 kg.
