How can you use Recipes B and D to create recipe E?
Fill in the blank.
1.) ____ the corresponding quantities of Recipe B 2.)____ Recipe D to create Recipe E.
Options for 1.)
- Add
- Subtract
- Multiply
- Divide
Options for 2.)
- and
- from
- times
- by
Answers
2.) and
If you look at the chart you can see when you add B and D it equals E, therefore your answer is add.
Related Questions
please help
How are transformations related to congruence?
Answers
Answer:
Congruence transformations
transformations that are performed on an object that can create a congruent object
Divide. Look for patterns in your answers.
c. (x⁴ - 1) / (x-1) .
Answers
The result of the division is x³ + x² + x + 1, and there is no remainder.
To divide (x⁴ - 1) by (x - 1), we can use long division:
x³ + x² + x + 1
_____________________
x - 1 | x⁴ + 0x³ + 0x² + 0x - 1
-(x⁴ - x³)
____________
x³ + 0x²
-(x³ - x²)
____________
x² + 0x
-(x² - x)
____________
x - 1
-(x - 1)
__________
0
The result of the division is x³ + x² + x + 1, and there is no remainder.
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There are 12 Year 13 pupils in a football club, out of a total of 35 pupils.
Write this proportion as a percentage.
Give your answer correct to 1 decimal place when appropriate.
Answers
Answer:
Step-by-step explanation:
The proportion of Year 13 pupils in the football club is 12/35. To convert this to a percentage, we need to multiply it by 100.
12/35 * 100 = 34.285714285714285 (approximately 34.3% when rounded to 1 decimal place)
Answer:
\( \frac{13}{35} \times \frac{100}{100} = 37.14\%\)
The table displays the amount of time and minute Jordan rode his bike for 5 days how many total did Jordan ride his bike in the five days
Answers
So Jordan rode his bike for a total time of approximately 6.067 hours over the five days.
The total amount of theoretical time that is open for production is known as whole Time. It serves as the foundation for the overall equipment effectiveness (OEE) availability calculation. the length of time: The time interval between the start and end of an action is its duration. We can quickly determine the duration of any action when the beginning and ending times are provided.
To find the total time Jordan rode his bike in minutes, we can add up the times for each day:
45 + 109 + 51 + 121 + 38 = 364
Jordan rode his bike for a total of 364 minutes in the five days.
To convert this to hours, we can divide by 60:
364 ÷ 60 = 6.067
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Correct Question:
The table displays the amount of time, in minutes, Jordan rode his bike for five days. How many total hours did Jordan ride his bike in the five days?
Day Time (minutes)
1 45
2 109
3 51
4 121
5 38
\(\sqrt{99} + \sqrt{44}\) in the form A\(\sqrt{B}\)
Answers
Answer:
answer 5sqrt(11)
Step-by-step explanation:
99 = 3 * 3 * 11
44 = 2 * 2 * 11
For every pair of equal prime factors under a square root sign, one can be take out and the other discarded.
sqrt(99) + sqrt(44)
sqrt(3 * 3 * 11) + sqrt(2 * 2 * 11)
Take a 3 out of sqrt (99) and a 2 out of square root(44)
3sqrt(11) + 2sqrt(11)
5 sqrt(11)
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.
Answers
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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how many 3 digit positive numbers have their hundreds, tens, and units digits in strictly ascending order
Answers
There are seven 3 digit positive numbers that have their hundreds, tens, and units digits in strictly ascending order
Since the hundreds, tens, and units digits are in strictly ascending order.
Let the digit in hundreds place be n, since its is strictly ascending order, the digit in the tens place is n + 1 and the digit in the units place is n + 2.
So, the digits are n, n + 1, n + 2.
The positive 3 digit numbersSo, starting with n = 1, we find the number of 3 digit positive integers in ascending order.
So, when n = 1,n, n + 1, n + 2.
1, 1 + 1, 1 + 2.
1, 2, 3
So, the first number is 123
So, when n = 2,n, n + 1, n + 2.
2, 2 + 1, 2 + 2.
2, 3, 4
So, the second number is 234
So, when n = 3,n, n + 1, n + 2.
3, 3 + 1, 3 + 2.
3, 4, 5
So, the third number is 345
So, when n = 4,n, n + 1, n + 2.
4, 4 + 1, 4 + 2.
4, 5, 6
So, the fourth number is 456
So, when n = 5,n, n + 1, n + 2.
5, 5 + 1, 5 + 2.
5, 6, 7
So, the fifth number is 567
So, when n = 6,n, n + 1, n + 2.
6, 6 + 1, 6 + 2.
6, 7, 8
So, the sixth number is 678
When n = 7,n, n + 1, n + 2.
7, 7 + 1, 7 + 2.
7, 8, 9
So, the seventh number is 789
When n = 8,n, n + 1, n + 2.
8, 8 + 1, 8 + 2.
8, 9, 10
Since we cannot have 10 in the last digit, we ignore this number.
The 3 digit positive numbersSo, the numbers are 123, 234, 345, 456, 567, 678, and 789
So, there are seven 3 digit positive numbers that have their hundreds, tens, and units digits in strictly ascending order
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What is the formula for calculating the total Revenue?
Answers
The formula for calculating total revenue (TR) is, TR = Price x Quantity
The total revenue is the product of the price per unit of a product or service and the total quantity of that product or service sold.
The formula for calculating total revenue (TR) is:
TR = Price x Quantity
This formula is used to calculate the total amount of money earned by a company or individual through the sale of goods or services.
It is important to note that total revenue does not take into account any expenses or costs associated with producing or selling the product. To determine the profitability of a business, total revenue must be compared to the total cost of production, including fixed costs and variable costs, as well as any other expenses related to running the business.
Therefore, the total revenue = Price × Quantity
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Find the third order maclaurin polynomial. Use it to estimate the value of sqrt1.3
Answers
You can use the well-known binomial series,
\(\displaystyle (1+x)^\alpha = \sum_{k=0}^\infty \binom \alpha k x^k\)
where
\(\dbinom \alpha k = \dfrac{\alpha(\alpha-1)(\alpha-2)\cdots(\alpha-(k-1))}{k!} \text{ and } \dbinom \alpha0 = 1\)
Let \(\alpha=\frac12\) and replace \(x\) with \(3x\); then the series expansion is
\(\displaystyle (1+3x)^{1/2} = \sum_{k=0}^\infty \binom{\frac12}k (3x)^k\)
and the first 4 terms in the expansion are
\(\sqrt{1+3x} \approx 1 + \dfrac{\frac12}{1!}(3x) + \dfrac{\frac12\cdot\left(-\frac12\right)}{2!}(3x)^2 + \dfrac{\frac12\cdot\left(-\frac12\right)\cdot\left(-\frac32\right)}{3!}(3x)^3\)
which simplify to
\(\sqrt{1+3x} \approx \boxed{1 + \dfrac32 x - \dfrac98 x^2 + \dfrac{27}{16} x^3}\)
You can also use the standard Maclaurin coefficient derivation by differentiating \(f\) a few times.
\(f(x) = (1+3x)^{1/2} \implies f(0) = 1\)
\(f'(x) = \dfrac32 (1+3x)^{-1/2} \implies f'(0) = \dfrac32\)
\(f''(x) = -\dfrac94 (1+3x)^{-3/2} \implies f''(0) = -\dfrac94\)
\(f'''(x) = \dfrac{81}8 (1+3x)^{-5/2} \implies f'''(0) = \dfrac{81}8\)
Then the 3rd order Maclaurin polynomial is the same as before,
\(\sqrt{1+3x} \approx f(0) + \dfrac{f'(0)}{1!} x + \dfrac{f''(0)}{2!} x^2 + \dfrac{f'''(0)}{3!} x^3 = 1 + \dfrac32 x - \dfrac98 x^2 + \dfrac{27}{16} x^3\)
Now,
\(\sqrt{1.3} = \sqrt{1+3x} \bigg|_{x=\frac1{10}} \\\\ ~~~~~~~~ \approx 1 + \dfrac32 \left(\dfrac1{10}\right) - \dfrac98 \left(\dfrac1{10}\right)^2 + \dfrac{27}{16} \left(\dfrac1{10}\right)^3 \\\\ ~~~~~~~~ = \dfrac{18,247}{16,000} \approx \boxed{1.14044}\)
Compare to the actual value which is closer to 1.14018.
\(\sqrt{1+3x}=1+\frac{3}{2} x-\frac{9}{8} x^{2} + \frac{81}{8}x^{3}\) is the maclaurin polynomial and estimate value of \(\sqrt{1.3}\) is 1.14. This can be obtained by using the formula to find the maclaurin polynomial.
Find the third order maclaurin polynomial:Given the polynomial,
\(f(x)=\sqrt{1+3x}=(1+3x)^{\frac{1}{2} }\)
The formula to find the maclaurin polynomial,
\(f(0)+\frac{f'(0)}{1!}x+\frac{f''(0)}{2!}x^{2} + \frac{f'''(0)}{3!}x^{3}\)
Next we have to find f'(x), f''(x) and f'''(x),
\(f'(x) = \frac{3}{2}(1+3x)^{-\frac{1}{2} }\) \(f''(x) =-\frac{9}{4}(1+3x)^{-\frac{3}{2} }\)\(f'''(x) = \frac{81}{8}(1+3x)^{-\frac{5}{2} }\)By putting x = 0 , we get,
\(f(0)=(1+3(0))^{\frac{1}{2} }=1\) \(f'(0) = \frac{3}{2}(1+3(0))^{-\frac{1}{2} }=\frac{3}{2}\)\(f''(0) =-\frac{9}{4}(1+3(0))^{-\frac{3}{2} }=-\frac{9}{4}\)\(f'''(0) = \frac{81}{8}(1+3(0))^{-\frac{5}{2} }=\frac{81}{8}\)Therefore the maclaurin polynomial by using the formula will be,
\(\sqrt{1+3x}=f(0)+\frac{f'(0)}{1!}x+\frac{f''(0)}{2!}x^{2} + \frac{f'''(0)}{3!}x^{3}\)
\(\sqrt{1+3x}=1+\frac{3}{2} x-\frac{9}{8} x^{2} + \frac{81}{8}x^{3}\)
To find the value of \(\sqrt{1.3}\) we can use the maclaurin polynomial,
\(\sqrt{1.3}\) is \(\sqrt{1+3x}\) with x = 1/10,
\(\sqrt{1+3(1/10)}=1+\frac{3}{2} (1/10)-\frac{9}{8} (1/10)^{2} + \frac{81}{8}(1/10)^{3}\)
\(\sqrt{1+3(1/10)}=\frac{18247}{16000} = 1.14\)
Hence \(\sqrt{1+3x}=1+\frac{3}{2} x-\frac{9}{8} x^{2} + \frac{81}{8}x^{3}\) is the maclaurin polynomial and estimate value of \(\sqrt{1.3}\) is 1.14.
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Which quantity is proportional to
15/3?
Answers
Answer:
5/1 (below for more possible answers)
Step-by-step explanation:
Proportional is a corresponding in size,
15/3 is equal to 5 (5/1) 15 divided by 3
also possible answers...
10/2
20/4
25/5
30/6
35/7
40/8
45/9
50/5
55/11
60/12
65/13
70/14
75/15
which all these equal 5
The greatest common factor between 15 and 3 is 3, so 15/3 = 5 — 3/3 = 1. So 15/3 = 5/1
suppose we have a continuous random variable over -2 < x < 5. what is p(x = 1)?
Answers
We have a continuous random variable over -2 < x < 5 so p(x = 1) = 0 because the probability at any given point for any continuous random variable is always 0.
Probability is a measure of the likelihood of a particular event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to happen.
Probability at any given position is always zero for any continuous random variable. This is because the probability of a single value occurring for a continuous random variable is always 0 because the range of values for the random variable is infinite and therefore the probability of a single value occurring is 0.
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helpppp helpppp helppppp helppppp
Answers
Answer:
Do you know the cylinder volume formula?Answer is: V=Pi*r^2*h Let me explain what that means. So the Pi is a constant number equal to 3.14..... and continue and this doesn't effect the volume while radius and height are the ones who do that.The volume is more effected by the radius because if both of them are a same number the radius would be greater than the height.
If r= 2 and h=2 than V=Pi*2^2*2 V=3.14*4*2
Step-by-step explanation:
Let me solve the problem!
a) r=3 h=10 than V=Pi*3^2*10 V=Pi*9*10 V=90Pi
When we increase the raduis by 1
b)r=4 h=10
V=Pi*4^2*10 so V=Pi*16*10 so V=160Pi
c)r=3 h=11
V=Pi*3^2*11 so V=Pi*9*11 so V=99Pi
It meas that when the radius is increased by 1inc the volume is greater than when you increase the height by 1.
Thank!
The following contingency table describes pet ownership of dogs and cats.
No Dog Golden Doodle Corgi Husky
Cat 0.3 0.1 0.05 0.03
No Cat 0.12 0.06 0.23 0.11
Find the probability of owning a cat.
Find the probability of owning any of the three types of dogs.
Find the probability of owning a cat and any dog.
Find the probability of someone owning a cat given that they own any dog.
Find the probability of someone owning any dog given that they own a cat.
Answers
Answer:
Probability of owning a cat:
P(Cat) = 0.3 + 0.1 + 0.05 + 0.03 = 0.48
Probability of owning any of the three types of dogs:
P(Dog) = 0.3 + 0.1 + 0.05 + 0.12 + 0.06 + 0.23 + 0.11 = 0.88
Probability of owning a cat and any dog:
P(Cat and Dog) = 0.3 + 0.1 + 0.05 + 0.03 + 0.12 + 0.06 + 0.23 = 0.89
Probability of someone owning a cat given that they own any dog:
P(Cat | Dog) = P(Cat and Dog)/P(Dog) = 0.89/0.88 = 1.011
Note: The probability should be less than 1, so there may be an error in the table or calculation.
Probability of someone owning any dog given that they own a cat:
P(Dog | Cat) = P(Cat and Dog)/P(Cat) = 0.89/0.48 = 1.854
Note: The probability should be less than 1, so there may be an error in the table or calculation.
The main height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?
Answers
Complete Question
The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?
Answer:
Center Z score = 4.5
The score is unusual
Step-by-step explanation:
The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?
The formula for z score is:
z = (x-μ)/σ, where
x is the raw score = 6.9feet
μ is the population mean = 6feet
σ is the population standard deviation = 0.2 feet
Hence:
Z = 6.9 - 6/0.2
Z = 0.9/0.2
Z = 4.5
Yes this score is unusual
HURRY I NEED HELP
I JUST NEED TO KNOW HOW TO DO THIS PLEASE
ILL GIVE 5 STARS AND STUFF PLS
Answers
Answer:
On the left, it would be + 1 for each blank, and on the right it would also be +1 for each blank.
Step-by-step explanation:
They are asking for the intervals between each number.
Hope this helps!
The cost of two pants and four shirts is $55.85. If a pant costs $7.25 more than a shirt, find the cost of a pant and a shirt. Estimate to the nearest whole number.
Cost of a shirt is $6 and cost of a pant is $13
Cost of a shirt is $7 and cost of a pant is $14
Cost of a shirt is $8 and cost of a pant is $14
Cost of a shirt is $7 and cost of a pant is $13
Answers
Answer:
B
Step-by-step explanation:
55.85 divided by 7.25 is 7. something sooooo if pants cost 7 dolars more thats 14
The cost of a shirt is $7 and the cost of a pant is $14.
The answer is option B.
What is an example of a word problem?
Word problems normally include mathematical modeling questions, where records and information approximately a positive machine is given and a student is needed to expand a model. For example, Jane had $5.00, then spent $2.00. How much does she have now?
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1. Three apples, a, and two peaches, p, sell for $1.25.
Five apples and 1 peach sell for $1.50. What is the
cost of one apple?
Answers
Answer:
$0.25
Step-by-step explanation:
You can use systems of equations to solve this.
3a+2p = 1.25
5a+p = 1.5
Multiply the second equation by 2.
3a+2p = 1.25
10a+2p = 3
Subtract the bottom from the top
-7a= -1.75
Divide by -7
a= 0.25
Each apple is $0.25 (in this case, the peach also costs $0.25)
dylan used a styrofoam cone to make a floral arrangement. the cone had a radius of 4.5 inches and a height of 6 inches. what is the volume of this cone? (round your answer to the nearest tenth.)
Answers
The volume of this cone is approximately 127.2 cubic inches
Hi! To calculate the volume of the Styrofoam cone used by Dylan to make a floral arrangement, we can use the formula for the volume of a cone: V = (1/3)πr²h. The cone had a radius of 4.5 inches and a height of 6 inches.
Substituting these values into the formula, we have:
V = (1/3)π(4.5)²(6)
V ≈ 127.2 cubic inches (rounded to the nearest tenth).
So, the volume of this cone is approximately 127.2 cubic inches.
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How do I determine whether a graph is a function?
Answers
Here's a more detailed explanation: To determine if a graph is a function, you can use the vertical line test. The vertical line test states that if you can draw a vertical line that intersects the graph in more than one place, then the graph is not a function.
Determining whether a graph represents a function is an important concept in mathematics, especially in algebra and calculus. A function is a set of ordered pairs where each input is associated with exactly one output.
So, if you take a ruler or a straight edge and place it vertically on the graph, and it intersects the graph in two or more points, then the graph is not a function. This is because if two points in the graph have the same x-value, they must have different y-values, since functions can only have one output for each input.
On the other hand, if you place a vertical line anywhere on the graph and it intersects the graph in only one point, then the graph is a function.
It's also important to remember that a function must also pass the horizontal line test, which means that no horizontal line can intersect the graph in more than one place.
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rearrange to make x the subject
Answers
The value of x given the equation 2x - 5y = p is x = (p + 5y) / 2.
What does it mean when something is made the subject?Making x the subject of an equation or formula entails rearranging the equation or formula so that the x variable is equal to the other variables.
The necessary steps include:
Isolate the variableRearrange the equation so each term containing x is on the same side of the =.Factorization may be needed if there are multiple terms containing x.Perform an operation to ensure only a single x variable is left as the subject2x - 5y = p
2x = p + 5y
Divide through by 2
x = (p + 5y) / 2
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Complete question
rearrange to make x the subject in 2x - 5y = p
Alice,barbra, and carol are sisters. alice is 3 years younger then barbara is 5 years younger then carol. together the sisters are 68 years old. how old is barbara?
Answers
The age of Barbra is 22 years.
What is method of substitution?The algebraic method for solving simultaneous linear equations is the substitution method. A quantity of one variable through one expression is replaced in the second equation, as the name implies.
Now, according to the question.
Let 'a' be the age of Alice.
Let 'b' be the age of Barbra
Let 'c' be the age of Carol.
The sum of age of all three sisters is 68 years.
Thus, a + b + c = 68
Now, as Alice is three years younger than Barbra.
a = b - 3
and, Barbra is 5 years younger than Carol.
b = c - 5
c = b + 5
By substitution of values of a and c in total age.
(b - 3) + b + (b + 5) = 68
3b - 3 + 5 = 68
On solving the expression.
b = 22
Therefore, the age of Barbra is 22 years.
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Expand the following :
X( 2x-5)
2x (3x+4)
6x(x-2y)
Answers
The expressions are expanded to give;
1. 2x² - 5x
2. 6x² + 8x
3. 6x² - 12xy
What are algebraic expressions?Algebraic expressions are defined as expressions consisting of variables, coefficients, constants, terms and factors.
These expressions are also known to consist of mathematical operations, which includes;
BracketParenthesesAdditionSubtractionMultiplicationDivision, etcFrom the information given, we have that;
a. x (2x - 5)
expand the bracket
2x² - 5x
b. 2x (3x+4)
expand the bracket
6x² + 8x
c. 6x(x-2y)
expand the bracket
6x² - 12xy
Hence, the expressions are 2x² - 5x, 6x² + 8x and 6x² - 12xy
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Answer:
1) 2x² - 5x
2) 6x² + 8x
3) 6x² - 12xy
Step-by-step explanation:
1) x ( 2x - 5 )
To expand the above, multiply both terms inside the brackets by x.
2x² - 5x
2) 2x ( 3x + 4 )
To expand the above, multiply both terms inside the brackets by 2x.
6x² + 8x
3) 6x ( x - 2y )
To expand the above, multiply both terms inside the brackets by 6x.
6x² - 12xy
I need help with these, this will be split up in parts. I know this is asking for a lot and I'm sorry
Answers
1.
Collinear : Points on the same line
Non-collinear: Points not on same line
Line: All points between any two points extending in opposite directions.
Space: Where things exist
Coplaner: Points and lines on the same plane
Geometry: Earth measure
Plane: A flat surface
Non-coplaner: Points and lines not on the same plane
2. EF
3. EGD
4. AD
5. G
A product of permutation matrices is again a permutation matrix. The inverse of a permutation matrix is again a permutation matrix.True or False
Answers
True
A square matrix called a permutation matrix is one in which every row and column has exactly one element equal to 1 and every other element is equal to 0. A matrix's rows or columns can be permuted by using permutation matrices.
The resultant matrix will also include exactly one 1 in each row and column and all other elements will be 0. This is because two permutation matrices are multiplied together. This is thus because a permutation matrix created by multiplying two other matrices represents the composition of the permutations represented by the individual matrices.
Similarly, By switching the rows and columns in a permutation matrix, it is possible to create the inverse of that matrix. For example, to get the inverse of a permutation matrix P, swap its rows and columns so that the 1s now occupy the locations where the row and column indices were original. Because each row and column still contain exactly one element that is equal to 1 and all other elements are equal to 0, this matrix is also a permutation matrix.
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Please help!! 50 POINTS!! Explain how you got each answer:
1. What is the growth rate for a country that has a total population of 11,000,000 with 320,000 births and 650,000 deaths?
2. What is the growth rate for a country that has 60,000 births and 50,000 deaths per year along with 20,000 people who immigrate in and 10,000 people who emigrate out? The total population is 20,000,000.
3. Belgium has a growth rate of 0.1% In how many years will it double its population?
4. Libya is doubling its population every 19 years. What is the growth rate?
Answers
Answer:
To find the growth rate for a country with a population of 11,000,000, 320,000 births, and 650,000 deaths, you need to first calculate the natural increase in the population by subtracting the number of deaths from the number of births: 320,000 - 650,000 = -330,000. This means that there are 330,000 more deaths than births in this country.
To calculate the growth rate, you need to divide the natural increase by the total population and multiply by 100 to express the result as a percentage. In this case, the growth rate would be: (-330,000 / 11,000,000) * 100 = -3.0%. This means that the population is decreasing at a rate of 3.0% per year.
To find the growth rate for a country with 60,000 births, 50,000 deaths, 20,000 immigrants, and 10,000 emigrants, you need to first calculate the natural increase in the population by subtracting the number of deaths from the number of births: 60,000 - 50,000 = 10,000. Then, you need to add the number of immigrants to this number to get the total increase in the population: 10,000 + 20,000 = 30,000. Finally, you need to subtract the number of emigrants from this number to get the net increase in the population: 30,000 - 10,000 = 20,000.
To calculate the growth rate, you need to divide the net increase in the population by the total population and multiply by 100 to express the result as a percentage. In this case, the growth rate would be: (20,000 / 20,000,000) * 100 = 0.1%. This means that the population is increasing at a rate of 0.1% per year.
Belgium has a growth rate of 0.1%, which means that its population is increasing by 0.1% per year. To find out how many years it will take for the population to double, you need to divide the growth rate into the number 100. Since 100 / 0.1 = 1000, it will take 1000 years for Belgium's population to double if it continues to grow at a rate of 0.1% per year.
Libya is doubling its population every 19 years, which means that its population is increasing by 100% every 19 years. To find the growth rate, you need to divide the population increase (100%) by the number of years it takes for the population to double (19 years) and multiply by 100 to express the result as a percentage. In this case, the growth rate would be: (100 / 19) * 100 = 5.26%. This means that Libya's population is increasing at a rate of 5.26% per year.
Step-by-step explanation:
Given the system of equations below. Use the Inverse of the matrix method to solve. x+2y+3z=11
2x+4y+5z=21
3x+5y+6z=27
Answers
The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.
The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.
Here, we will solve this system of equations using inverse of the matrix method as follows:
We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].
The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33] where,
d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,
d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,
d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,
d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,
d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,
d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,
d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,
d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,
d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.
We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]
Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]
Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.
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discuss the difference between a conjecture, hypothesis and a theory. why is the distinction important?
Answers
A conjecture and a hypothesis are preliminary ideas that require further investigation, while a theory is a well-established framework that has withstood rigorous testing and scrutiny.
A conjecture is a statement that is believed to be true based on limited evidence or intuition, but has not yet been proven. It is essentially an educated guess, and requires further testing and analysis to be confirmed or refuted.
A hypothesis is a tentative explanation for a phenomenon or observation that is based on limited evidence or prior knowledge. It is often formulated as a testable prediction that can be supported or disproven through further investigation.
A theory, on the other hand, is a well-substantiated explanation of a natural phenomenon that is supported by a large body of empirical evidence and has been rigorously tested and confirmed through multiple lines of inquiry.
It is a broad and comprehensive framework that can explain a wide range of phenomena and is widely accepted within the scientific community.
The distinction between these terms is important because it reflects the level of evidence and confidence in the statement being made. It is important to use the appropriate term depending on the level of evidence and confidence in the statement being made.
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Find the y-intercept of the following equation. Simplify your answer.
y = 4x +
2
5
y-intercept
=
Submit
Answers
Answer:
(0 , 25)
Step-by-step explanation:
y = 4x + 25 is our equation.
The formula used is y = mx + b where:
m = slope
x = independent variable
b = constant/y - intercept
Based on that knowledge we can tell that 25 is our y intercept.
48 divided by what equals eight
Answers
Answer:
6
Step-by-step explanation:
6 is the answer because 6 times 8 equals 48, so if you divide 48 by 8 then the quotient would equal 6.
The number 48 should be divided by 6 to equal eight is 48 ÷ 6 = 8
To find what number 48 should be divided by to equal eight, we can set up the division equation and solve for the unknown value.
Let's represent the unknown number by 'x':
48 ÷ x = 8
Now, to find the value of 'x,' we can isolate it by performing the inverse operation of division, which is multiplication. We can multiply both sides of the equation by 'x':
x * (48 ÷ x) = x * 8
On the left side, 'x' cancels out with the 'x' in the denominator, leaving us with:
48 = 8x
Next, we can solve for 'x' by dividing both sides by 8:
48 ÷ 8 = 8x ÷ 8
6 = x
Therefore, the number 48 should be divided by 6 to equal eight:
48 ÷ 6 = 8
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Consider each equation and solution. Which solution is not correct?
A. W/2 - 13 = -5;w = 16
B. -2x/5 = 4; x = -10
C. 12 - 2y = 8; y = -2
D. 30 = 5z + 10; z = 4
Answers
12-2y = 8
12-12-2y = 8-12
-2y = -4 (Divide by -2)
y = 2
Not -2