The perimeter of the second park will be 320 feet. The correct option is C.
What is the perimeter?The perimeter is defined as the sum of all the sides of the object. For a rectangular park, the perimeter will be the sum of all the sides of the rectangular park.
Given that a park has two rectangular, fenced playgrounds. The first playground has a perimeter of 160 feet.
The perimeter of the first park:-
160 = 2 ( L + W )
L + W = 80
The perimeter of the second park,
P = 2 ( 2L + 2W )
P = 4 ( L + W )
P = 4 x 80
P = 320 feet
Therefore, the perimeter will be 320 feet.
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Based on the information marked in the diagram
Answer:
I believe the answer is A. true
Answer:
True
Step-by-step explanation:
From the following information prepare balance sheet.
Current ratio
2.5
Liquid ratio
1.5
Fixed assets/proprietaryfunds
0.75
Working capital
₹ 60,000
Reserves & surplus
₹ 40,000
Bank overdraft
₹10,000 There is no long term loan or fictitious assets
The balance account is prepared in accordance with the provided statement, and both the liabilities and assets total 2800000.
What does a balance sheet serve?A balance sheet provides you with a quick overview of ones company's financial standing at any particular moment. A balance sheet, along with a revenue statement as well as a cash-flow statement, can aid business leaders in assessing the financial health of their organisation.
Computation of Current assets and Current Liabilities
Current Ratio (CR) = Current Assets (CA)/ Current Liabilities (CL) = 2.5
So, CA= 2.5 CL
Current Assets (C.A) - Current Liabilities (C.L) now equals Rs. 60000 as working capital.
Therefore, CA - CL = 60000 0
2.5 CL-CL = 600000
1.5 CL = 600000
CL = 600000/1.5
C.L = Rs.40000 0
C.A. now equals 2.5 x 400000, or Rs. 1000,000.
Computation of stock
Liquid ratio = Liquid assets/Current liabilities
Or, 1.5 = (Current Assets - Stock )/400000
Or, 1.5 = (10,00, 000 - Stock)/4,00,000
1.5 *400000 = 1000000-Stock
600000 = 1000000- Stock
Therefore, stock = 100000-600000 = 400000
Computation of Proprietary fund; Fixed assets; Capital and Sundry payables (creditors)
Proprietors Fund divided by Permanent Assets equals Proprietors Fund.
Permanent assets therefore equal 0.75 proprietary fund, and
Net working capital = 0.25 Proprietary fund
Therefore Proprietary fund = 600000/0.25
Proprietary fund = 24,00,0000 and Fixed assets = 0.75 proprietary fund
= 0.75 of 24,00,000
Therefore, Fixed Assets = 18,00,000
Equity Capital = Proprietary fund - Reserves & Surplus
Therefore, Equity Capital = 2400000-400000
Equity Capital = 20,00,000
Variable payables (creditors) = (Current liabilities - Bank overdraft)
= (400000 - 100000) = 300000
Sundry payables = 300000
Net Current Assets = (Current Assets - Stock) = 1000000-400000 = 600000
Balance Sheet
Liabilities Amt in INR Assets Amt in INR
Equity Capital 2000000 Fixed Assets 1800000
Reserves & surplus 400000 Stock 400000
Bank Overdraft 100000 Net Current Assets 600000
Sundry Payable 300000
________________________________________________________
2800000 2800000
________________________________________________________
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Samuel is trying to decide between two laser printers, one manufactured by
Hewlett-Packard, the other by Brother. Both have similar features and warranties, so price is the determining factor. The Hewlett-Packard costs $200, and printing costs are approximately $0.03 per page. The Brother costs $240, and printing costs are approximately $0.01 per page. How many
pages need to be printed for the cost of the two printers to be the same? Show work.
Answer: Let's call the number of pages printed "x". After printing x pages, the total cost for the Hewlett-Packard printer will be:
$200 + $0.03 * x
And the total cost for the Brother printer will be:
$240 + $0.01 * x
We want to find the number of pages "x" such that the cost of the two printers is the same, i.e., when:
$200 + $0.03 * x = $240 + $0.01 * x
We can isolate x by subtracting $240 from both sides and subtracting $0.01 * x from both sides:
$200 - $240 + $0.03 * x - $0.01 * x = 0
$-40 + $0.02 * x = 0
$0.02 * x = 40
x = 2000
So, the number of pages that need to be printed for the cost of the two printers to be the same is 2000 pages.
Step-by-step explanation:
4. Please complete the following math problem & show your work.
You are responsible for making sure that the club has a sufficient inventory of light bulbs. You need to have 20 light bulbs of each
size in storage. You need to check all of the storage closets to get a count. In the first storage closet, you find five boxes of 36" bulbs
with two in each box and four boxes of 24" bulbs with four in each box. In the second storage closet, you have three boxes of 36°
bulbs with four in each box. In addition, you know you need to replace four 36 bulbs. How many do you need to order in order to
keep twenty of each size in stock?
You need to order 2 36" bulbs and 4 24" bulbs in order to keep twenty of each size in stock.
What is the stock?The stock is a type of security that represents ownership in a company. It is a financial asset that can be traded, and the price of the stock is determined by the supply and demand of the market. When a company issues stock, the stockholders gain a share of the company’s ownership.
36" bulbs:
First storage closet: 5 boxes with 2 in each box = 10
Second storage closet: 3 boxes with 4 in each box = 12
Total = 10 + 12 = 22
Need to order = 20 - 22 = 2
24" bulbs:
First storage closet: 4 boxes with 4 in each box = 16
Total = 16
Need to order = 20 - 16 = 4
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I have to find
A)
B)
Please and thank you if you do :)
a. (f + g) (0) = 0
b. (f/g) (3) = 2/3
This can be solved by function method.
What is functions?Function is a mathematical phrase, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable). A function is described as a relationship between a group of inputs and one output each. In simple terms, a function is a connection between inputs, with each input corresponding to exactly one output. Every function has its own domain and codomain, as well as a range. f(x), where x is the input, is a common way to refer to a function.
(a) (f + g) (0) = .........
g(0) = 0, f(0) = 0
(f + g) (0) = f(0) + g(0)
(f + g) (0) = 0 + 0
(f + g) (0) = 0
(b)
(f/g) (3) = ............
f(3) = 2, g(1/3) = 1
(f/g) (3) = f(3) × g(1/3)
(f/g) (3) = 2 × (1/3)
(f/g) (3) = 2/3
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A manager is assessing the correlation between the number of employees in a plant and the number of products produced monthly. The table shows the data:
Number of employees
(x) 0 10 20 30 40 50 60 70 80
Number of products
(y) 120 200 280 360 440 520 600 680 760
Part A: Is there any correlation between the number of employees in the plant and the number of products produced monthly? Justify your answer. (4 points)
Part B: Write a function that best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate? (3 points)
Answer:
Part A: Yes, there is a correlation between the number of employees in the plant and the number of products produced monthly. This is because as the number of employees increases, the number of products produced also increases in a linear fashion.
Part B: The function that best fits this data is y = 8x + 120, where x is the number of employees and y is the number of products.
Part C: The slope of this plot indicates that for every additional employee, there is an increase of 8 products produced monthly. The y-intercept of this plot is 120, which is the number of products that would be produced if there were no employees.
Alexa opens a retirement account and is starting with $100. He plan to add $25 each month to the account ? What’s is the equation and how much money will Alexa have after 6 months and after 12 months ?
Answer:
The equation to calculate the balance in the account after "x" months would be: y = 100 + 25x
And after 6 months, Alexa would have $250 in his retirement account, and after 12 months, he would have $400 in his account.
Step-by-step explanation:
Let's call the balance in Alexa's retirement account after "x" months "y".
The equation to calculate the balance in the account after "x" months would be:
y = 100 + 25x
After 6 months, Alexa would have added 6 * $25 = $150 to the original balance of $100, so the balance would be:
y = 100 + 25 * 6 = 100 + 150 = $250
After 12 months, Alexa would have added 12 * $25 = $300 to the original balance of $100, so the balance would be:
y = 100 + 25 * 12 = 100 + 300 = $400
So, after 6 months, Alexa would have $250 in his retirement account, and after 12 months, he would have $400 in his account.
The business manager of an agricultural company reviews information on trends in the cattle industry to support financial decisions for the coming year.
In what year did cattle prices remain relatively stable, total expenses increase slightly, and cattle income increase significantly?
2011
2012
2013
2014
In 2011 cattle prices remain relatively stable, total expenses increase slightly, and cattle income increase significantly. Therefore, option A is the correct answer.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
In the graph we can see in 2011 total expenses increase slightly, and cattle income increase significantly.
Therefore, option A is the correct answer.
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Solve the inequality for x. 3x + 9 < 3
Responses
A x < 2
B x < −2
C x < 1
D x < −1
a < 0 what dose that mean
a is smaller than 0.
on the natural numbers scale on the left side of value 0 are negative numbers.
Answer:
anything under 0 such as -1 -2 -3 -4 and anything below so you write any number below 0
The volume of a right cone is 2325
�
π units
3
3
. If its radius measures 15 units, find its height.
The height of the right cone will be 9.86 units.
What is the volume of a cone?The area a cone takes up in a three-dimensional plane is known as its volume. A cone's base is circular, so it is made of a radius and a diameter.
Given that the volume of the cone is 2325 cubic units and the radius of the cone is 15 units.
The height of the cone will be calculated as:-
Volume = 2325
(1/3)πr²h = 2325
( 1/3 ) x π x 15)² x h = 2325
h = ( 2325 x 3 ) / ( 15 x 15 x π )
h = 9.86 units
Therefore, the height of the right cone will be 9.86 units.
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Simplify fully:
Please help!!
Answer:
-8/-4
Step-by-step explanation:
-8/-4
The x cancel each other
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{3x^2 - 8x - 3}{2x^2 - 6x}}[/tex]
[tex]\large\text{We cannot do too much to this equation because we do not have any}\\\\\large\text{like terms. So we will solve it this way to make it easier to get to the}\\\\\large\text{answer.}[/tex]
[tex]\mathsf{= \dfrac{(3x + 1)(x - 3)}{2x(x - 3)}}[/tex]
[tex]\mathsf{= \dfrac{3x + 1 \ * \ x - 3}{2x \ * \ x - 3}}[/tex]
[tex]\large\text{Simplify it}[/tex]
[tex]\mathsf{= \dfrac{3x + 1}{2x}}[/tex]
[tex]\huge\text{Therefore your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{\dfrac{3x + 1}{2x}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
I need hep on this question pls help and Explain.
I attached it.
Answer:
Yes
Step-by-step explanation:
no. of squares able to fit length=800/40=20
no. of squares able to fit breadth= 120/40=3
total no. of squares able to fit entire rectangle=20×3=60
cost of squares=60×4.50=270
Yes, he has enough money to buy all the paving stones.
Trayvon enters a competition to guess how many balls are in a barrel. Trayvon’s guess is 63 balls. The actual number of balls is 60 . What is the percent error of Trayvon’s guess?
Travon's guess was off by?
what was his percent error
Answer:
1.8
3 percent of 60 is 1.8
What are the domain and the range of this relation?
Water (gallons)
500
400
300
200
100
0
10 20 30 40 50 60 70 80 90 100
Time (minutes)
X
For the given relation, the domain is [0,70] and the range is [0,500].
What is meant by relation?
In mathematics, a relation describes the connection between two distinct sets of data. If more than two non-empty sets are taken into consideration, the relationship between them will be determined if there is a connection between their items. The relationship between two or more sets of values is called a relation.
Assume that there are two sets of ordered pairs, x and y. If set x and set y are related, then the values of set x are referred to as the domain while the values of set y are referred to as the range.
W can also determine domain and range from graphs.
Also, note that the given graph is continuous so the domain and range values all all values in an interval.
The domain represents all the input values which are on the x-axis.
From the given graph, we can see that the domain values are in the interval [0,70].
The range represents all output values which are on the y-axis.
From the graph, the range values are in the interval [0,500].
Therefore for the given relation, the domain is [0,70] and the range is [0,500].
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100 POINTS HELP IM ALMOST DONE If a business uses a monthly accounting period, how often would it prepare a post closing trial balance?
A. yearly
B. weekly
C. monthly
D. daily
Answer:
C. Monthly
Step-by-step explanation:
If a business uses a monthly accounting period, it would prepare a post-closing trial balance once a month, at the end of the accounting period. Therefore, the correct answer is option C, monthly.
A post-closing trial balance is a list of all the accounts and their balances after adjusting entries have been made and closing entries have been posted to the general ledger. It is used to verify that the debits and credits are equal and that all temporary accounts have been closed out. The post-closing trial balance is prepared after the closing entries have been made at the end of the accounting period. For a business that uses a monthly accounting period, this would typically be done once a month, at the end of each month.
Use the graph, and find the function by observing the graph.
The image of the function f(x) is equal to g(x) = - (1 / 2) · f(x). (Correct choice: C)
How to determine the definition of the image of a function
In this problem we find a graphic representation of a function f(x) and its image g(x) on Cartesian plane. Let f(x) a representation of the original function and g(x) is the image of the former by means of rigid transformations.
First, write the original function:
f(x)
Second, use a reflection about the x-axis:
f(x) → - f(x)
Third, apply a dilation on previous step:
- f(x) → - (1 / 2) · f(x)
Fourth, write the resulting expression:
g(x) = - (1 / 2) · f(x)
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use unit rates to determine the better buy and provide the unit price for your answer round your answer to the nearest hundredth if necessary
$17.52 for 20 packs of gum
$26.09 for 30 packs of gum
On solving the provided question, we cans ay that By unitary method 1 packs of gum = 17.52 /20 = $0.876 and = 26.09/30 = $0.866
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
We have,
$17.52 for 20 packs of gum
$26.09 for 30 packs of gum
By unitary method
$17.52 for = 20 packs of gum
1 packs of gum = 17.52 /20 = $0.876
$26.09 for 30 packs of gum
1 pack = 26.09/30 = $0.866
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WORTH 24 PTS ANSWER FAST
The medium size gets the most ice cream per dollar.
What is simplification?To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.
Given three types of soft-serve ice cream,
A; small,
ice cream for $1.96 = 3 ounces
ice cream for $1 = 3/1.96 = 1.53 ounce per dollar
B; medium,
1 ounce of icecream cost = $0.64
ice cream for $1 = 1/0.64
ice cream for $1 = 1.5625 ounce per dollar
C: Large
ice cream for $6.85 = 10 ounces
ice cream for $1 = 10/6.85 = 1.459 ounce per dollar
Hence medium size gets the most ice cream per dollar.
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Find the equation of a line described as follows, and express your answer in point-slope form, slope-intercept form, and standard form.
Find the equation of the line perpendicular to the line y = 1/5x-2 that passes through the point (-3,1).
The equation of a line perpendicular to line y = 1/5x-2 in slope-intercept form that contains point (-3, 1) is y = -5x - 14.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.From the information provided, an equation of the first line WX is given by;
y = x/5 - 2
Therefore, slope (m) = 1/5
In Mathematics, a condition that must be met for two lines to be perpendicular is given by:
m₁ × m₂ = -1
1/5 × m₂ = -1
m₂ = -5.
At point (-3, 1), an equation of the line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 1 = -5(x - (-3))
y - 1 = -5(x + 3)
y = -5x - 15 + 1
y = -5x - 14
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LA and L B are vertical angles. If m/ A = (« + 15)° and m/B = (5x - 17)°, then find the measure of ZB.
Answer:
∠ B = 23°
Step-by-step explanation:
vertical angles are congruent , then
∠ B = ∠ A , that is
5x - 17 = x + 15 ( subtract x from both sides )
4x - 17 = 15 ( add 17 to both sides )
4x = 32 ( divide both sides by 4 )
x = 8
Then
∠ B = 5x - 17 = 5(8) - 17 = 40 - 17 = 23°
Use the law of sines to find the value of y. Round to the nearest tenth.Law of sines: StartFraction sine (uppercase A) Over a End Fraction = StartFraction sine (uppercase B) Over b End Fraction = StartFraction sine (uppercase C) Over c End Fraction1.4 units1.6 units2.5 units2.6 units
Using the law of Sine, the value of y becomes 1.6 units.
Correct option: B
What is Sine rule?Rule of Sines The sine law, sine formula, sine rule, or law of sines is an equation in trigonometry that connects the lengths of any triangle's sides to the sines of its angles. The ratio of a triangle's sides and angles may be calculated using the sine rule.
The formula: a/sinA = b/sinB = c/sinC
It may be used to describe the sine rule. Here, the triangle's angles are A, B, and C, while its sides' lengths are denoted by the letters a, b, and c.
The sine rule:
a/Sin A = b/Sin B = c / Sin C = 2R
Given, a = 2 and b = y
∠A = 75° and ∠B = 50°
by sine rule:
⇒ 2/ Sin 75° = y/ Sin 50°
⇒ 2 × Sin 50° = y × Sin 75°
⇒ y = 1.586 ≈ 1.6 units
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Which function describes this graph?
-61
-5
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
O A. y = (x+5)(x-3)
OB. y-(x-2)(x - 5)
OC. y = x² +5x+12
OD. y=x+7x+10
5
The monthly payment M of a mortgage P for n years with a fixed annual interest rate r can be calculated by the formula. M = p r/12 (1 + r/12)^12n/(1 + r/12)^12 n-1 Determine the monthly payment of a 30-year $450,000 mortgage with interest rate of 4.2% (r = 0.042). Define the variables P, r, and n and then use them in the formula to calculate M. The number of permutations nP_r of taking r objects out of n objects out repetition is given by: nP_r = n!/(n - r)! a) Determine how many six-letter passwords can be formed from letters in the English alphabet if a letter can only be used once. b)How many pass-words can be formed if the digits 0, 1, 2, ..., 9 can be
The monthly payment of a 30-year amount $450,000 mortgage with an interest rate of 4.2% is $2,071.09.
P = 450000
r = 0.042
n = 30
M = 450000 * 0.042/12 * (1 + 0.042/12)^360 / (1 + 0.042/12)^360-1
M = $2,071.09
a) There are 26 letters in the English alphabet so the number of six-letter passwords that can be formed from letters in the English alphabet if a letter can only be used once is 26P_6 = 26!/(26 - 6)! = 26!/(20!) = 300,750,000
b) There are 10 digits (0,1,2,3,4,5,6,7,8,9) so the number of passwords that can be formed if the digits 0, 1, 2, ..., 9 can be used is 10P_6 = 10!/(10 - 6)! = 10!/(4!) = 5040.
The monthly payment of a 30-year amount $450,000 mortgage with an interest rate of 4.2% is $2,071.09. There are 300,750,000 six-letter passwords that can be formed from letters in the English alphabet if a letter can only be used once, and there are 5040 pass-words that can be formed if the digits 0, 1, 2, ..., 9 can be used.
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The side lengths of AABC are 27, 9x, and 63. The side lengths of ADEF are
18, 36, and 7x. Is it possible that the triangles are similar? If so, find the value
of x that makes the triangles similar.
Yes, it's possible that the triangles are similar. With value of x is 6. Therefore, the side length Triangle ABC are 27,54 and 63. While Triangle DEF are 18,36 and 42.
Triangle congruenceA flat shape that has 3 angles is what we usually call a triangle. If there are 2 similar triangles, and an equation is made that will be able to express the ratio of the sides, then we will get a ratio of similar triangles. In simple terms, congruence is two shapes that have the same angles and side lengths. Congruence also has a special notation, namely ≈. To find this, a certain formula will be needed.
Based on the question above, we could find value of x:
with comparison
27/18= 9x/36
27 × 36 = 9x × 18
972=162x
x= 6
X is 6 so we can multiply the length that contain x with the value 6.
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What is t? Step by Step.
convert to slope-intercept form:
2x+5y=0
Answer:
y=-2/5x
Step-by-step explanation:
The slope-intercept form of a linear function is y = mx +b, where m is the slope and b is the y-intercept.
Currently, 2x + 5y = 0 is in standard form and we can convert it to slope intercept form by simply isolating y (put the equation in terms of y):
[tex](2x+5y=0)-2x\\(5y=-2x)/5\\y=-2/5x[/tex]
(Acceptance Sampling.) The following two acceptance rules are being con- sidered for determining whether to take the delivery of a large shipment of components: Rule 1. A random sample of ten components is checked, and the shipment is accepted only if none of them is defective. Rule 2. A random sample of twenty components is checked, and the ship- ment is accepted only if not more than one of them is defective. Which of these acceptance rules has the smaller probability of accepting a shipment containing 20% defectives?
we can see that Rule 2 has a higher probability of accepting a shipment containing 20% defectives. Therefore, Rule 2 has a smaller probability of accepting a shipment containing 20% defectives.
How to find Probability of acceptance?To compare the probabilities of acceptance of a shipment containing 20% defectives for the two rules, we can calculate the probabilities for both rules and compare the results.
Ac coding to data:For Rule 1, the probability of accepting a shipment containing 20% defectives is given by the probability of having 0 defectives in a sample of 10 components. This can be calculated as
P(Accept | 20% defectives) = (0.8)¹⁰
= 0.107374
For Rule 2, the probability of accepting a shipment containing 20% defectives is given by the probability of having 0 or 1 defectives in a sample of 20 components. This can be calculated as:
P(Accept | 20% defectives) = (0.8)²⁰ + ²⁰C₁ * (0.8)¹⁹ * (0.2)
= 0.276
Comparing the two probabilities, we can see that Rule 2 has a higher probability of accepting a shipment containing 20% defectives. Therefore, Rule 2 has a smaller probability of accepting a shipment containing 20% defectives.
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For what value(s) of h is b in the plane spanned by a1 and a2?a1 = [1, 4, -2] a2 = [-2, -3, 7] b = [4, 1, h]
For b to be in the plane spanned by a1 and a2, h= -17 .
What is plane?
In two dimensions, a plane can continue on forever. The lack of breadth. A plane is an example of coordinate geometry. A point's location in a plane is determined by its coordinates.
A plane is a two-dimensional, flat surface that never ends in mathematics. A plane is a two-dimensional equivalent of a three-dimensional equivalent that contains three spatial dimensions, a line, and a point. Planes can resemble subspaces in some higher-dimensional situations, as if the room's walls had been substantially stretched. These walls have their own existence, exactly as in the context of Euclidean geometry.
A flat surface in three dimensions can be represented using the plane equation. There are several approaches for determining the equation for a given function.. The equation for the plane can be expressed in either cartesian form or vector form.
Hence, the general form of the equation is A(x−x1)+B(y−y1)+C(z−z1)=0
Now,
y is a linear combination of a1 and a2 if it is in the plane, For the plane spanned by a1 and a2,
y = a a1 + b a2, a and b are constants here
[4,1,h] = a[1,4,-2] + b[-2,-3,7]
[4,1,h] = [a - 2b,4a -3b,-2a+ 7b] Vectors are equal if their components are equal by the rules of vector addition and multiplication.
4 = a - 2b
1 = 4a - 3b
h = -2a + 7b
solve for a and b from the two equations for h:
a = -2
b = -3
h = -17
We see that -2[1,4,-2] - 3[-2,-3,7] = [4,1,-17].
Hence,
For b to be in the plane spanned by a1 and a2, h= -17 .
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Samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup. The result is 120 grams of 15% sugar syrup. How many grams of 25% sugar syrup did Samantha use?
Answer:
120-x
Step-by-step explanation:
For me in class there were 6 parts to this problem and this problem is the same in my class so I will add all the answers
So for how many grams of 25% syrup it will be 120-x because the some amount + x = 120 grams of 15% syrup
so 120-x = the some amount of syrup.
This will be the answer for the problem you were asking for
If you have 6 parts keep scrolling since I will supply some more answers
Next part: How much pure sugar is in the 25% syrup?
For the amount of pure sugar there is in the 25% syrup
that will equal 0.25(120-x) = 30-0.25x
Next: How much sugar is in 120 grams of 15% sugar syrup?
10% of 120 is 12
5% = 12/2 = 6
12+6 = 18
Now the earlier stuff from the problem will come in handy
use the previous answers to write an equation
0.25(120-x)+0.10x=18
= 30-0.25x+0.10x=18
30 -0.15x=18
Now the final part to solve the equation and find the 10% solution and the 25% solution
-0.15x=18-30 = -12
-0.15x=-12
x= -12/-0.15
x=80
the problems not done yet though
we need to find the 25% solution
25% solution = 120-x and x = 80
120-80 = 40
The 10% solution is 80 grams and the 25% solution is 40 grams