Let F(x)=f(f(x)) and G(x)=(F(x))2. You also know that f(8)=2,f(2)=2,f′(2)=6,f′(8)=8 Find F′(8)=___ and G′(8)=___
Answers
To find F'(8), we need to differentiate the function F(x) = f(f(x)) using the chain rule. Let's denote f(x) as y for simplicity. So we have F(x) = f(f(x)) = f(y).
Using the chain rule, we can express F'(x) as F'(x) = f'(y) * f'(x).
Given that f(8) = 2 and f'(8) = 8, we substitute y = 2 into the expression:
F'(8) = f'(2) * f'(8).
Given that f(2) = 2 and f'(2) = 6, we substitute these values into the expression:
F'(8) = 6 * 8 = 48.
Therefore, F'(8) = 48.
To find G'(8), we differentiate the function G(x) =\((F(x))^2\) using the chain rule.
Let's denote F(x) as z for simplicity. So we have G(x) = \((z)^2\).
Using the chain rule, we can express G'(x) as \(G'(x) = 2zF'(x)\).
Substituting F(x) = f(f(x)) and F'(x) = f'(f(x)) * f'(x) into the expression, we have:
\(G'(x) = 2f(f(x))f'(f(x))f'(x)\).
Given that f(8) = 2 and f'(8) = 8, we substitute these values into the expression:
\(G'(8) = 2f(f(8))f'(f(8))f'(8)\).
Since f(8) = 2 and f'(8) = 8, we have:
\(G'(8) = 2f(2)f'(2)8\).
Substituting f(2) = 2 and f'(2) = 6 into the expression, we get:
\(G'(8) &= 2 \cdot 2 \cdot 6 \cdot 8 \\\\&= \boxed{192}\)
Therefore, G'(8) = 192.
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Related Questions
The National Council of Teachers of Mathematics states that all five math standards are important in the early childhood years. However, they state that an emphasis needs to be placed on which of the following standards?
Answers
The emphasis is on the Counting and Cardinality standard in the early childhood years according to the National Council of Teachers of Mathematics.
The National Council of Teachers of Mathematics emphasizes the following standards in the early childhood years:
- Counting and Cardinality
- Operations and Algebraic Thinking
- Number and Operations in Base Ten
- Measurement and Data
- Geometry
The National Council of Teachers of Mathematics recognizes that all five math standards are important in the early childhood years. However, they place a particular emphasis on the standards related to counting and cardinality. This includes developing skills in counting, understanding numbers, and recognizing numerical relationships.
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a particular fruit's weights are normally distributed, with a mean of 494 grams and a standard deviation of 8 grams. if you pick 17 fruits at random, what is the probability that their mean weight will be between 489 grams and 500 grams? (round answer to four decimal places)
Answers
The probability that the mean weight of the 17 fruits will be between 489 grams and 500 grams is approximately 0.0322 - 0.0322 = 0.0000 (rounded to four decimal places).
The probability that the mean weight of 17 randomly picked fruits falls between 489 grams and 500 grams can be calculated using the Central Limit Theorem.
The mean weight of the 17 fruits will follow a normal distribution with a mean equal to the population mean (494 grams) and a standard deviation equal to the population standard deviation divided by the square root of the sample size (√17).
First, we calculate the z-scores for the lower and upper bounds:
Lower z-score:
z_lower = (489 - 494) / (8 / √17)
Upper z-score:
z_upper = (500 - 494) / (8 / √17)
Then, we use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores. The probability that the mean weight falls between 489 grams and 500 grams is equal to the difference between these two probabilities.
Let's calculate the probabilities:
z_lower = (489 - 494) / (8 / √17) ≈ -1.8409
z_upper = (500 - 494) / (8 / √17) ≈ 1.8409
Using a standard normal distribution table or a calculator, we find that the probability corresponding to z_lower is approximately 0.0322 and the probability corresponding to z_upper is also approximately 0.0322.
The problem presents a normal distribution of fruit weights, with a given mean of 494 grams and a standard deviation of 8 grams. When we randomly select a sample of 17 fruits, the mean weight of this sample will also follow a normal distribution. According to the Central Limit Theorem, as the sample size increases, the distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.
In this case, since the range is relatively narrow and the sample size is moderate, the probability of the mean weight falling between 489 grams and 500 grams is quite low, approximately 0.0000.
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What is the area of the square?
32 square units
64 square units
24 square units
16 square units
Answers
Answer:
64 square units
Step-by-step explanation:
All you have to do is multiply 8 by 8 to get 64.
The table shows the number of boys and girls that have black, blonde, or red hair color. what is the probability that a student is a girl blonde hair(round to the nearest hundredth)
Answers
The probability that a student is a girl with blonde hair is 0.32 (rounded to the nearest hundredth).
To calculate the probability, we need to determine the number of girls with blonde hair and divide it by the total number of students. Let's assume the table is as follows:
Hair Color | Boys | Girls
-------------------------
Black | 30 | 40
Blonde | 20 | 25
Red | 15 | 20
From the table, we can see that there are 25 girls with blonde hair. To find the total number of students, we sum up the counts of boys and girls for each hair color. In this case, the total number of students is 30 + 40 + 20 + 25 + 15 + 20 = 150.
Now, we divide the number of girls with blonde hair (25) by the total number of students (150): 25 / 150 = 0.1667.
Rounded to the nearest hundredth, the probability that a student is a girl with blonde hair is 0.17.
Based on the given data, the probability that a student is a girl with blonde hair is approximately 0.17. This means that out of all the students, around 17% are girls with blonde hair.
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what's the answer ?
Answers
so how am i suppose to get the answer
Angel and Jayden were at track practice. The track is 2/5 kilometers around.
Angel ran 1 lap in 2 minutes,
Jayden ran 3 laps in 5 minutes.
a) How many minutes does it take Angel to run
one Kilometer?
b) How many minutes does it take Jayden to run
one Kilometer?
will give brainlist!!
Answers
B.) 4 minutes
consists of $1$'s separated by blocks of $2$'s with $n$ $2$'s in the $n^{\rm{th}}$ block. what is the sum of the first $1234$ terms of this sequence?
Answers
Therefore, the sum of the first 1234 terms of this sequence is 1234.
To find the sum of the first 1234 terms of the sequence consisting of 1's separated by blocks of 2's with n 2's in the nth block, we need to determine the number of blocks and the number of 1's in each block.
Let's examine the pattern of the sequence:
Block 1: 2's
= 1's
= 1 (1 2)
Block 2: 2's
= 2's
= 22 (1 22 1)
Block 3: 2's
= 3's
= 222 (1 222 1)
Block 4: 2's
= 4's
= 2222 (1 2222 1)
...
We observe that the number of 2's in each block is equal to the number of the block itself. So, in the nth block, there are n 2's.
Now, let's calculate the number of blocks required to reach the 1234th term:
To find the number of blocks, we need to determine the maximum block number before the 1234th term. We can calculate this by finding the sum of the series 1 + 2 + 3 + ... + n until the sum is greater than or equal to 1234.
The formula for the sum of the series 1 + 2 + 3 + ... + n is given by: S = (n/2)(n+1).
Let's solve this equation:
(n/2)(n+1) = 1234
\(n^2 + n - 2468 = 0\)
Using the quadratic formula:
n = (-1 + √(1 + 4*2468)) / 2
n ≈ 61.76
Since n must be a whole number, we take the ceiling of n, which gives us 62.
Therefore, there are 62 blocks in the sequence.
Next, let's calculate the number of 1's in each block:
In the nth block, there are n 2's. Since each 2 is separated by a 1, there are n + 1 terms in each block.
So, the number of 1's in each block is (n + 1) - n = 1.
Since there is always one 1 between two consecutive blocks, the total number of 1's in the sequence is equal to the number of blocks, which is 62.
Finally, let's calculate the sum of the first 1234 terms:
Each block has n + 1 terms, which gives us (n + 1) + (n + 1) + ... + (n + 1) (62 times).
Sum of (n + 1) repeated 62 times = 62(n + 1)
= 62 * 2
= 124.
In addition to the blocks, we have 1234 - 62 = 1172 remaining terms, which are all 1's.
So, the sum of the first 1234 terms is 62 + 1172 = 1234.
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An electrician needs 4/5 of a roll of electrical wire to wire each room in a house. How many rooms can he wire with 3 1/5 rolls of wire?
Answers
Answer:
4 rooms
Step-by-step explanation:
\(\displaystyle \frac{3\frac{1}{5}\text{ total rolls}}{\frac{4}{5} \text{ rolls per room}}=\frac{\frac{16}{5}}{\frac{4}{5}}=\frac{16}{4}=4\text{ rooms}\)
Answer:
4
Step-by-step explanation:
find all of the eigenvalues of the matrix a over the complex numbers complex function. give bases for each of the corresponding eigenspaces. a = 31 −13. λ1 = (?)has eigenspace span ( ? ) (λ-value with smaller imaginary part)
λ2 =(?) has eigenspace span ( ? ) (λ-value with larger imaginary part)
Answers
The eigenvalues of matrix a are λ1 = 17 + 3i and λ2 = 17 - 3i, and the corresponding eigenspaces are spanned by the bases {(13/14-3i), 1} and {(13/14+3i), 1}, respectively.
What are complex numbers?
Complex numbers are numbers that consist of a real part and an imaginary part. They are represented in the form a+bi, where a and b are real numbers, and i is the imaginary unit, defined as the square root of -1.
To find the eigenvalues of matrix a, we need to solve the characteristic equation det(a-λI) = 0, where I is the identity matrix and det is the determinant.
a = 31 -13
-1 3
The characteristic equation is:
det(a-λI) =
|31-λ -13|
|-1 3-λ| = 0
Expanding the determinant, we get:
(31-λ)(3-λ) - (-13)(-1) = 0
(31-λ)(3-λ) + 13 = 0
λ^2 - 34λ + 190 = 0
Using the quadratic formula, we get:
λ1 = 17 + 3i
λ2 = 17 - 3i
To find the eigenvectors corresponding to each eigenvalue, we need to solve the system of equations (a-λI)x = 0, where x is the eigenvector.
For λ1 = 17 + 3i:
(a-λ1I)x =
|31-(17+3i) -13|
|-1 3-(17+3i)|x = 0
Simplifying, we get:
|14-3i -13| |x1| |0|
|-1 -14-3i| * |x2| = 0
From the first row, we get:
(14-3i)x1 - 13x2 = 0
x1 = (13/14-3i)x2
Substituting into the second row, we get:
-x2 - (14+3i)(13/14-3i)x2 = 0
x2 = -(14+3i)(13/14-3i)x2
Thus, a basis for the eigenspace corresponding to λ1 is:
{(13/14-3i), 1}
For λ2 = 17 - 3i:
(a-λ2I)x =
|31-(17-3i) -13|
|-1 3-(17-3i)|x = 0
Simplifying, we get:
|14+3i -13| |x1| |0|
|-1 -14+3i| * |x2| = 0
Following the same steps as for λ1, we obtain a basis for the eigenspace corresponding to λ2:
{(13/14+3i), 1}
Therefore, the eigenvalues of matrix a are λ1 = 17 + 3i and λ2 = 17 - 3i, and the corresponding eigenspaces are spanned by the bases {(13/14-3i), 1} and {(13/14+3i), 1}, respectively.
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Find the value of z.
Answers
2z = 15
z = 7.5
Solve equation: x^3 = 150
Answers
The chart below shows the approxinate distance from the Sun ti Earth, Mars, and Jupiter.
The speed of light is approximately 1.86 x 10^5 miles per second.
• The time it takes for a beam of light to travel from the Sun to the Earth is found by dividing the distance between the Sun and Earth by the speed of light. Find the amount of time it takes gir a beam if light fron the Sun to reach Earth. Show all work and express your answer in minutes.
• Explain or show how to use the numbers in scientific notation to calculate the difference in the distance from Jupiter to the Sun and the distance from Mars to the Sun. Then find the differences and express your answers in scientific notation.
• Explain ir show how to find the number if miles light will travel in 1/2 minute.
Answers
The amount of time it takes to reach the beam of sum from sun to earth is 200 seconds approximately
What is division?
Division is one of the basic arithmetic operation in which we find a number such the product of the number with the denominator is equal to the numerator.
We are given that the distant of earth from sun is 9.3 ×10^7
And the speed of light is 1.86×10^5
We divide the distance by the speed to get the value of time
\(\frac{9.3}{1.86}\)×\(\frac{10^7}{10^5}\)
On simplifying we get
200 seconds
Hence, The approximate time require to reach the beam of sun from sun to earth is 200 seconds
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Andrea attends the county fair the fair charges for admission and for each ride
A. Use the pattern in the table to find the cost for Andrea to ride 5 rides or 8 rides. Then write an equation for the pattern
Answers
The cost of admission to the fair (A) $18 (B) 2.50x +18 (C) Coefficient of x-term represents the cost for each ride ticket and constant term represents the cost of admission to the fair.
How to find the cost of admission?Note that the county fair charges $2.50 per ticket for the rides and Henry bought 15 tickets for the rides.
So, the total cost of the 15 tickets will be: (2.5* 15)r = $37.50
He spent total $55.50 on ride tickets and fair admission.
So, the cost of admission to the fair will be:
(B) If x represents the number of ride tickets and represents the total cost, then the cost for number of ride tickets is 2.50x +18
So, the linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission will be:
(C) In the above linear equation, coefficient of x-term is 2.50, which represents the cost for each ride ticket.
And the constant term is 18, which represents the cost of admission to the fair.
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complete question
The county fair charges $2.50 per ticket for the rides. Henry bought 15 tickets for the rides and spent a total of $55.50 at the fair. Henry spent his money only on ride tickets and far admission. The price of the fair admission is the same for everyone. Use x to represent the number of tide tickets and y to represent the total cost.
(A) Find the cost of admission to the fair. Explain how you found the cost of admission.
(B) Write a linear equation that can be used to determine the cost for anyone who pays for ride tickets and fair admission.
(C) Explain what the coefficient on x and the constant of your linear equation represent.
Which of the numbers listed below are solutions to the equation? Check all
that apply.
x=0
A.
B. 1
C. -2
D. O
E. 2
F. None of these
Answers
Can someone help me with these!!! Due today :( my math teacher keeps assigning all these hard assignments
Answers
shows you how to do it step by step
Answer:
Finally I'm done. lolol
Step-by-step explanation:
Please I can't take all the pictures at one time so please follow me. I'll post the answers as questions so you can get access to them.
Hope this helps. Please mark as brainliest.
I'll post them as questions so you can open my platform and press on my questions to get your answers. If there is any mistake, kindly draw my attention.
Thanks.
A tangent line drawn to the graph of y=4x/1+x^3 at the point (1,2) forms a right triangle with the coordinate axes. The area of the triangle is: either 3.0, 3.5, 4.0, 4.5, 5.0. Show your work.
Answers
The area of the triangle is 4.5 square unit.
We have, y= 4x/ (1 + x³)
Now, differentiating the above equation wrt to x we get
y' = 4(1 + x³)- 4x . 3x² / (1+ x³)²
y'= -8x³ + 4/ (1+x³)²
When x = 1 then y' = -4/4 = -1
so, y -2 = -1 (x-1)
y= -x+ 3
Here the x intercept is (3, 0) and y intercept is (0, 3).
so, Area of Triangle is
= 1/2 x 3 x 3
= 9/2
= 4.5 square unit
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graph the equations shown beloe
Answers
Can I get brainlyest please!
Hello!
-----------------------------------------------------------------------------------------------------------------
I can't attach a photo here, so I will try to explain.
y=-2
The equation of any line looks like so:
y=mx+b
Here, we have only:
y=b
That doesn't mean that the slope vanished; the line still has a slope, but it equals 0.
So we have y=0x+b.
Now, b is the y-intercept (where the graph touches the y-axis).
So the graph touches the graph at (0, -2)
Now, what does 0 slope mean?
It means that the line is horizontal.
Hope it helps you!
~SparklingFlower (:
Please give me the crown; I will be glad! (;
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How would you use the Distributive Property to write an equivalent expression, with no spaces, for x(3x+2)?
Answers
Answer:
\(x(3x + 2) = 3x^2 + 2x\)
Step-by-step explanation:
Given
\(x(3x + 2)\)
Required
Apply distributive property
\(x(3x + 2)\)
Distribute
\(x(3x + 2) = x * 3x + x * 2\)
\(x(3x + 2) = 3x^2 + 2x\)
Elsie is a project manager
in 2016 she earned £2100
in 2017 she was awarded a 3% increase on her monthly salary
given that in 2017 worked 42 hours a week for 45 weeks.
week out her average pay-per-hour of the year
Answers
The average pay-per-hour of the year for Elise will be 13.73 pounds.
How to calculate the average pay?From the information, in 2016 she earned £2100 and in 2017 she was awarded a 3% increase on her monthly salary.
Therefore, the new salary will be:
= 2100 + 3%(2100)
= 2100 + 63
= 2163
Now she worked for 42 hours per week for 45 weeks. This will be:
= 42 × 45
= 1890 hours
Therefore, the total earnings for the year will be:
= 2163 × 12 months
= 25956
The average pay-per-hour of the year will be:
= Total amount / Number of hours
= £25956 / 1890
= £13.73
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How much greater is 8.9 x 10^8 than 1.6 x 10^6
Answers
Answer:
\(8.884\) × \(10^8\)
or 888400000
Step-by-step explanation:
1) Work out the numbers
The first thing you need to do is work out the numbers to find out the difference!
\(8.9\) × \(10^8\) = \(8.9\) × \(100000000\) = \(890000000\)\(1.6\) × \(10^6\) = \(1.6\) × \(1000000\) = \(1600000\)2) Find the differences between the numbers
890000000 - 1600000 = 888400000
3) Put your final answer in standard form
To put a number in standard form you must...
Put a decimal point after the 1st significant figureCount how many numbers are after itWrite it in standard formTo put it in the question we are given...
8.88400000There are 8 numbers after the 1st significant figure\(8.884\) × \(10^8\)Hope this helps, have a great day!
How much greater is \(8.9*10^8\) than \(1.6*10^6\)? Express your answer using either standard notation or scientific notation.
\(8.9*10^8 - 1.6*10^6\)
\(890,000,000-1,600,000\) Convert to standard notation
\(888,400,000\) Standard Notation
\(8.884*10^8\) Scientific Notation
Consider a hypothesis test of difference of means for two independent populations x1 and x2.(a) What does the null hypothesis say about the relationship between the two population means?H0 says that the population means are different.H0 says that the population standard deviations are equal. H0 says that the population means are equal.H0 says that the population standard deviations are different.
Answers
H0 says that the population means are equal.
In the context of a hypothesis test for the difference of means between two independent populations (x1 and x2), the null hypothesis (H0) states the following about the relationship between the two population means:
H0 says that the population means are equal.
In other words, the null hypothesis assumes that there is no significant difference between the means of the two populations. The alternative hypothesis would then state that the population means are different. Remember that hypothesis testing is a process to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.
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According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
ORX)-(3x? -x-5)(2x-5
1 x) = (3x* +2x)"
o 9x)= (4x2-7)
OM) - Bx - 4y - 1) (3,2-4
Answers
===========================================================
Explanation:
For each expression in the parenthesis of choice A, focus only on the leading terms. Those would be the terms to the very left. The leading terms 3x^2 and 2x^6 multiply to 6x^8. This is the leading term of the final expansion and it's of degree 8. Any degree 8 polynomial will have 8 roots according to the fundamental theorem of algebra. Some of those roots may be complex numbers, or they may be purely real numbers.
Choice B can be ruled out because the leading term 3x^4 is raised to the 4th power to get (3x^4)^4 = 81x^16 as the leading term of the final expansion. This polynomial has 16 roots, but we want 8 roots instead.
Choice C is a similar story to choice B. In this case, we have (4x^2)^3 = 64x^6 as the leading term when you expand everything out. This 6th degree polynomial has 6 roots.
And finally, choice D can be ruled out as well. We follow the same steps as choice A. The leading terms from each parenthesis group multiply to 6x^8*3x^2 = 18x^10 showing we have 10 roots (due to the 10th degree polynomial).
PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer: D 12
Step-by-step explanation:
If the point G(–4, 6) was moved horizontally 4 units to the left, which of the following is the correct mapping to define the translation? (x, y) Right-arrow (x, y 4) (x, y) Right-arrow(x 4, y) (x, y) Right-arrow (x, y – 4) (x, y) Right-arrow (x – 4, y).
Answers
The correct mapping to define the translation of point G(-4, 6) moving 4 units to the left is (x, y) → (x - 4, y).
To move the point G(-4, 6) horizontally 4 units to the left, we need to subtract 4 from the x-coordinate. In the given options, the mapping (x, y) → (x - 4, y) correctly represents this translation.
Let's apply this mapping to the coordinates of point G:
x-coordinate: -4 - 4 = -8
y-coordinate: 6 remains unchanged
Therefore, the new coordinates of the point G after the translation are (-8, 6).
In general, when we want to move a point horizontally to the left, we subtract the desired distance from the x-coordinate. The option (x, y) → (x - 4, y) correctly reflects this horizontal translation by subtracting 4 from the x-coordinate, while leaving the y-coordinate unchanged.
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Q4. Which system of inequalities describes the graph?
Answers
Answer:
Step-by-step explanation:
Models of inventory systems frequently consider the relationships among a beginning inventory,
a production quantity, a demand or sales, and an ending inventory. For a given
production period j, let
sj-1 = ending inventory from the previous period (beginning inventory for period j)
xj = production quantity in period j
dj = demand in period j
sj = ending inventory for period j
a. Write the mathematical relationship or model that shows ending inventory as a function
of beginning inventory, production, and demand.
b. What constraint should be added if production capacity for period j is given by Cj?
c. What constraint should be added if inventory requirements for period j mandate an
ending inventory of at least Ij?
Answers
a. This equation states that the ending inventory for period j (sj) is equal to the beginning inventory from the previous period (sj-1) plus the production quantity in period j (xj), minus the demand in period j (dj).
b. This constraint ensures that the production quantity in period j (xj) does not exceed the production capacity for that period (Cj).
c. This constraint ensures that the ending inventory for period j (sj) is greater than or equal to the required inventory level for that period (Ij).
a. The mathematical relationship or model that shows ending inventory as a function of beginning inventory, production, and demand can be represented as:
sj = sj-1 + xj - dj
This equation states that the ending inventory for period j (sj) is equal to the beginning inventory from the previous period (sj-1) plus the production quantity in period j (xj), minus the demand in period j (dj).
b. If the production capacity for period j is given by Cj, the constraint that should be added is:
xj ≤ Cj
This constraint ensures that the production quantity in period j (xj) does not exceed the production capacity for that period (Cj).
c. If inventory requirements for period j mandate an ending inventory of at least Ij, the constraint that should be added is:
sj ≥ Ij
This constraint ensures that the ending inventory for period j (sj) is greater than or equal to the required inventory level for that period (Ij).
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Write the equation of a line that is parallel with a y = -2/3 x + 2 and goes
through the point (-3,0).
Answers
Answer:
y = -2/3x - 2
Step-by-step explanation:
Parallel lines have the same slope so slope = -2/3
Given (-3,0)
Slope-intercept: y = mx + b
0 = -2/3(-3) + b
0 = 2 + b
b = -2
then y = -2/3x - 2
true or false: most driving is done in lane position 3, or the right side of the driving lane, so that the driver stays as far from the median as possible.
Answers
Most driving is done in lane position 3, or the right side of the driving lane, so that the driver stays as far from the median as possible.The statement is true
What lane position is used most for driving?The first position, which is in the center of the lane, will be employed in the majority of driving circumstances. When there are obstructions in your path or field of vision, you can move to positions 2 and 3 to the left and right, respectively, without leaving your current lane of movement. Similar to lane position 2, you should maintain lane position 3 between three and six inches from the right dividing line. If there was a hazard in the left portion of the lane, you would move to the third position in the lane. getting ready to turn right.To learn more about lane position refer to:
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. Maria spent 1\9of the money her grandparents gave her on an adventure book. She also spent 1/3 of the money on a bag of candy.
What fraction of the payment has Maria spent?
Answers
Answer:
\(\frac{4}{9}\)
Step-by-step explanation:
The fraction of the money that Maria spent on an adventure book = \(\frac{1}{9}\)
The fraction of the money that Maria spent on a bag of candy = \(\frac{1}{3}\)
Now we have to find the total fraction of the money that Maria spent.
For that we have to add those 2 fractions together.
Let us solve now.
\(\frac{ 1}{9} +\frac{1}{3}\)
\(\frac{ 1}{9} +\frac{1*3}{3*3}\)
\(\frac{1}{9} +\frac{3}{9}\)
\(\frac{4}{9}\)
There fore, the fraction of the payment has Maria spent is \(\frac{4}{9}\)
Hope this helps you :-)
A rectangular tank measures 60cm by 50cm by 40cm. Water flows into the tank at a rate of 8 litres per minute. At this rate, how long will it take to fill the tank?
Answers
Answer:
15 minutes
Step-by-step explanation:
60 x 50 x 40 = 120000
120000 cubic cm = 120 litres
120/8 m= 15
Ans : 15 min.