Use a second order difference scheme while adhering to the finite difference procedure we discussed in lecture, the rewritten initial value is cos(t)+C.
What is a difference equation?The k initial differences of a sequence or a function are involved in a difference equation of order k, just as the k first derivatives of a function are related in a differential equation of order k.
The two aforementioned relationships enable the transformation of a recurrence relation of order k into a difference equation of order k and, in the other direction, a difference equation of order k into a recurrence relation of order k. Every transformation is the inverse of every other transformation, and the sequences that satisfy the recurrence relation are the exact ones that provide the solution to the difference equation.
Calculations:
syms y(t) z(t)
eqns = [diff(y,t)==z, diff(z,t)==-y];
[ySol(t),zSol(t)] = dsolve(eqns)
ySol(t) = C
cos(t)+C
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Solve the Equation (completing the square)
15 = x^2- 14x
Answer: x = -1, 15
Step-by-step explanation:
15 = x²- 14x
⇒ x²- 14x-15 = 0
⇒ x²- 15x+x-15 = 0
⇒ x (x-15) + (x-15) = 0
⇒ (x-15) (x+1) = 0
Now,
x= -1, 15
dis me after 1 min in school
Answer:
What's the question?
Step-by-step explanation:
Rewrite the following expression.
The following expression i.e.[tex]x^{\frac{10}{3} }[/tex] is rewritten as [tex](x^{3} )\sqrt[3]{x}[/tex]
Expression:
An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)
You can think of expression as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a whole sentence.
⇒ [tex]x^{\frac{10}{3} }[/tex] { given a exponential expression }
⇒ [tex]x^{\frac{9+1}{3} }[/tex] { spliting the power into parts }
⇒[tex]x^{3+\frac{1}{3} }[/tex]
⇒ [tex]x^{3}[/tex]×[tex]\sqrt[3]{x}[/tex] { spliting the terms by using properties of exponent }
⇒ [tex](x^{3} )\sqrt[3]{x}[/tex]
Hence, [tex](x^{3} )\sqrt[3]{x}[/tex] is rewritten form of the given expression i.e.[tex]x^{\frac{10}{3} }[/tex]
Therefore,The following expression i.e.[tex]x^{\frac{10}{3} }[/tex] is rewritten as [tex](x^{3} )\sqrt[3]{x}[/tex]
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10-8(2x-7)
please help!!!!!!!!
Pls help me I know absolutely nothing abt geometry
Answer:
choice 2,5,6
Step-by-step explanation:
Answer:
i took it like 2 years ago. i think its MNP, N, 1, and PNM?
A printing company needs to ship 70,000 team calendars to the city's basketball team. The printing company can fit 7,000 calendars in each box. How many boxes will the printing company need to use?
10 boxes will be required by the printing company
It is a method in which one finds the value of a unit from the value of a number of units and the value of a number of units from the value of a unit.In the unit method, we always count the value of a unit or quantity first, and then we calculate the value of more or less quantities. This is why this method is called the unary method.
The mathematical unit method is also used to find the ratio between two quantities.
Company can fit 7000 calendars in 1 box
7000 calendars = 1 box
1 calendar = 1/7000
70000 calendar = 1/7000 * 70000
= 10 boxes
10 boxes will be required by the printing company
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where u get the 230,000 number
Answer: 23 x 10,000
Step-by-step explanation:
23 multiplying with 10,000
you will get 230,000
Answer:
23 * 10000 or 23 * [tex]10^{4}[/tex]
Step-by-step explanation:
23 * 10000 or 23 * [tex]10^{4}[/tex]
The difference of two rational numbers is an irrational number
The correct answer is false.
A rational number also includes the sum of two rational numbers.
An integer is the result of two integers.An integer is what separates two other integers.The following is the formula for subtracting two rational numbers:a/b-c/d=ad-bc/bd
Since a/b and c/d are integers, and we know that a, b, c, and d are all rational numbers. Since ad and bc are both integers under our rule, it follows that ad - bc is also an integer. As a result, our rule states that ad, bc, and bd are all integers. As a result, we know that ad - bc and bd are integers and that the difference between two rational numbers is a number of the type a/b-c/d=ad-bc/bd is the precise definition of a rational number, where ad - bc and bd are integers. Thus, we may conclude that a rational number is the difference between two rational numbers.
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Points A, B, and C are collinear. Point B is between A and C. Find the value of x. AC = 19 AB = 4x + 3 BC = 3x + 2
The value of x = 2.
Three points of collinear are A, B, and C. Here point B is between A and C.
The properties of collinear point are,
a>The slope of AB is equal to the slope of BC,
b>Line AB + BC = AC
c>The area is equal to 0.
As the three points are collinear, and from the second property we have
AB + BC= AC
Where, AB = 4x + 3
BC = 3x + 2
So we have,
(4x + 3) + (3x + 2) =19
7x + 5=19
7x = 14
x=2
Therefore we get the value of x =2.
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consider the set of numbers $\{1, 10, 10^2, 10^3, \dots, 10^{10}\}$. the ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer?
The ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer.
What is ratio?
A ratio in mathematics describes how many times one number is contained in another. For instance, the ratio of oranges to lemons in a dish of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of oranges to the total amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7).
The quantities in a ratio can be of any kind, such as counts of people or things, measures of lengths, weights, or times, etc. Both numbers must be positive in the majority of situations.
Explanation:
The requested ratio is[tex]\[\dfrac{10^{10}}{10^9 + 10^8 + \ldots + 10 + 1}.\][/tex]
Using the formula for a geometric series, we have[tex]\[10^9 + 10^8 + \ldots + 10 + 1 = \dfrac{10^{10} - 1}{10 - 1} = \dfrac{10^{10} - 1}{9},\][/tex]
which is very close to [tex]$\dfrac{10^{10}}{9},$[/tex] so the ratio is very close to 9.
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Find cos tan csc sec and cot please.
Answer:
Hi, here are the remaining values in order.
-9/41-40/941/40-41/9-9/40gabriela is building a brick wall. each row of bricks is 6.5\,\text{cm}6.5cm6, point, 5, start text, c, m, end text tall except that the top row is 1\,\text{cm}1cm1, start text, c, m, end text shorter because it has no mortar. she wants the wall to be 259\,\text{cm}259cm259, start text, c, m, end text tall.
The equation is 6.5 (r-1) + 5.5 = 259 or 6.5 r - 1 = 259.
In this case, r stands for the overall number of rows.
The answer indicates that each row is 6.5 cm tall.
What is an equation?A formula known as an equation uses the equals sign (=) to express how two expressions are equal. The word "equation" and its cognates in other languages may have slightly different meanings. For instance, in French, an equation is defined as having one or more variables, while in English, any well-formed formula consisting of two expressions related with an equals sign is an equation. The task of solving an equation with variables entails figuring out which values of the variables cause the equality to hold true. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Identity equations and conditional equations are the two types of equations.
The height of the top row is 6.5 - 1 = 5.5 cm.
Except for this row, there are total rows of = (r-1)
So, 6.5 is the total length of these rows (r-1)
The overall length of the wall is therefore equal to the sum of the (r-1) row and the top row.
However, once more in line with the inquiry,
Exactly 259 centimeters must be on the wall.
⇒ 259 = 6.5(r-1) + 5.5
⇒ 6.5(r-1) + 5.5 = 259
⇒ 6.5 r - 6.5 + 5.5 = 259
⇒ 6.5 r - 1 = 259
Which is the required equation for finding the number of rows (r).
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A rectangular sandbox is 3 feet by 4 feet. The depth of the box is 8 inches, but the depth of the sand is 3/4 of the depth of the box. Find each measure to the nearest tenth.
a. the surface area of the sandbox assuming there is no lid
The surface area of the sandbox assuming there is no lid is 21.3 feet
Calculating surface areaFrom the question, we are to determine the surface area of the sandbox
From the given information,
The dimension of the box is 3 feet by 4 feet
Thus,
Length = 4 feet
Width = 3 feet
and
The depth of the box is 8 inches
That is,
Height = 8 inches = 8/12 feet
Height = 2/3 feet
Now,
Using the formula for the surface area of a box
Surface area = (2lw + 2lh + 2wh)
If there is no lid,
The surface area becomes
Surface area = (lw + 2lh + 2wh)
Thus,
Surface area = (4×3 + 2×4×2/3 + 2×3×2/3)
Surface area = (12 + 16/3 + 4)
Surface area = (12 + 5.3 + 4)
Surface area = 21.3 feet
Hence, the surface area of the sandbox assuming there is no lid is 21.3 feet
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Use the Law of Syllogism to draw a valid conclusion from each set of statements, if possible. If no valid conclusion can be drawn, write no valid conclusion and explain your reasoning.If the measure of an angle is between 90-180 , then it is obtuse,
If an angle is obtuse, then it is not acute.
Given that statements 1 and 2 are true statements, the conclusion agrees with the laws of syllogism.
What is syllogism?In syllogism, we have a pattern of reasoning in which the flow is that the premise must lead to the conclusion. This implies that reasoning must be logically sound and unbiased.
Now let us look at the statements that we have here;
Statement 1 - .If the measure of an angle is between 90-180 , then it is obtuse
Statement 2 - If an angle is obtuse, then it is not acute.
We know that these are true syllogisms because mathematically, we define the obtuse angle as an angle that is greater than 90 degrees but less than 180 degrees.
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A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $500 and the daily rate for each partner is $1000. The law firm assigned a total of 8 lawyers to the case and was able to charge the client $6500 per day for these lawyers' services. Determine the number of associates assigned to the case and the number of partners assigned to the case.
Using a system of equations, it is found that there were 3 associates and 5 partners assigned to the case.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given as follows:
Variable x: number of associates.Variable y: number of partners.The firm assigned a total of 8 lawyers to the case, hence:
x + y = 8
x = 8 - y.
The firm was able to charge the client $6500 per day for these lawyers' services, hence, considering the costs:
500x + 1000y = 6500.
Since x = 8 - y, we have that:
500(8 - y) + 1000y = 6500.
500y = 2500
y = 5.
x = 8 - 5 = 3.
The firm assigned 3 associates and 5 partners to the case.
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How many terms are in the expression a²-ab+8b+b²-1
Answer:
5
Step-by-step explanation:
we just have to see the units to determine the terms
the terms are, a², ab, b, b², 1 has no terms, but imagine it as [tex]x^{0}[/tex]
Mark me brainliest if it helped
otel is a full-service pet salon and boarding kennel. paws and claws has an interactive website where customers can directly book a grooming appointment, obedience class, or overnight accommodations for their dog or cat. paws and claws has several unexpected services, such as a 600-square foot swimming pool, complete with slide and dog-friendly graduated steps to help them exit the pool. customers can also
Answer: option c
Step-by-step explanation:
hope this helps
directions: Find the distance between each pair of points
(-4, 6) and (3, -7)
According to the solving the distance between two points is:
= 14.77
What is an example of a distance formula?In coordinate geometry, the distance formula is used to calculate the actual distance between two points. The formula for calculating the distance between two locations (x1,y1) (x 1, y 1) and (x2,y2) (x 2, y 2) is D=(x2x1)2+(y2y1)2 D = (x 2 x 1) 2 + (y 2 y 1) 2.
What is the name of the distance between two points?The length of a line segment seems to be the distance between two locations. Congruent segments are those with the same length. By drawing a line with a ruler, we may compute the approximate distance between two points.
According to the given data:Given points: (-4, 6) and (3, -7)
X₁ = -4
Y₁ = 6
X₂ = 3
Y₂ = -7
We know that the distance between two points:
distance = √((x₂ - x₁)²+(y₂ - y₁)²)
= √((3 - (-4))²+((-7) - 6)²)
= √((3 + 4)²+(-13)²)
= √((7)²+(-13)²)
= √((49)+(169))
= √(218)
= 14.77
According to the solving the distance between two points is:
= 14.77
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What is the meaning of relative to in math like, what is the location of the dolphin relative to the surface of the water?
Answer:
bhe ganyan din
akin
Step-by-step explanation:
please help us
Complete the proof.
Given: 8 - 3x / 4=32
Prove: x=-40
Proof:
The proof of the given algebra equation is; x = -40
How to solve algebra problems?
We are given the algebra equation as;
(8 - 3x)/4 = 32
Using multiplication property of equality, multiply both sides by 4to get;
8 - 3x = 128
Using subtraction property of equality, subtract 8 from both sides to get;
-3x = 120
Using division property of equality, divide both sides by -3 to get;
x = -40
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Help me with this vertical angle
Answer:
Step-by-step explanation:
6x - 32 = 4x + 16
2x - 32 = 16
2x = 48
x = 24
6(24) - 32 = 144 - 32 = 112
4(24) + 16 = 96 + 16 = 112
Why do all sequences represent functions?
Basically, a sequence is a function whose domain is set of natural numbers and co-domain is set of real numbers.
Function:
A function relates each element of a set with exactly one element of another set (possibly the same set)
Real numbers:
Real numbers can be defined as the union of both rational and irrational numbers. They can be both positive or negative and are denoted by the symbol “R”.
Domain
Domain is the set of all possible inputs of a function.
Co - Domain:
Co - domain is the set of its possible outcomes or results.
Unlike a set, the same elements can appear multiple times at different positions in a sequence, and unlike a set, the order does matter. Formally, a sequence can be defined as a function from natural numbers (the positions of elements in the sequence) to the elements at each position.
That's why, every sequence must be the function itself.
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If ST 13 and RT = 46, find RS. Use the number line below.
R
RS=
(Type an integer or a decimal.)
Answer:
RS = 33
Step-by-step explanation:
from the number line
RT = RS + ST ( substitute values )
46 = RS + 13 ( subtract 13 from both sides )
33 = RS
Answer:
RS = 33
Step-by-step explanation:
Given that,
→ ST = 13
→ RT = 46
Then the value of RS will be,
→ RS + ST = RT
→ RS + 13 = 46
→ RS = 46 - 13
→ [ RS = 33 ]
Hence, the value is 33.
A piggy bank is full of dimes and quarters. The total
value of the coins is $14.05. If there are a total of 100 coins,
how many of each does she have?
Dimes
Ay Quart
Mixture
1x *+9=312905
She has 27 quarters and 73 dimes.
Write a system of equations.
Let x be the number of quarters, and y be the number of dimes.
x+y=100
0.25x+0.10y=14.05
Solve by substitution:y=100−x
∴0.25x + 0.10(100 - x) = 14.05
0.25x+10−0.10x=14.05
0.15x+10=14.05
0.15x=4.05
x=27
Solve for y now:
y+27=100
y=100−27
y=73
Hence, She has 27 quarters and 73 dimes.
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The meanings of the word equation and its cognates in various languages can vary slightly. For instance, in French, an equation is defined as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.
Finding the values of the variables that cause the equality to hold true is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that fulfill the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations.
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Roman Derleth
Write Single Inequality from Context
Sep 21, 7:53:35 PM
?
Jonathan and his children went into a restaurant and will buy hamburgers and tacos.
Each hamburger costs $5 and each taco costs $2.50. Jonathan has a total of $60 to
spend on hamburgers and tacos. Write an inequality that would represent the
possible values for the number of hamburgers purchased, h, and the number of tacos
purchased, t.
Answer:
Submit Answer
The inequalities that represent the problem is 5h + 2.50t ≤ 60
How to find the inequality that represent the problem?Each hamburger costs $5 and each taco costs $2.50.
He has a total of $60 to spend on hamburgers and tacos.
The inequalities that would be used to represent the possible values for the number of hamburgers purchased, h, and the number of tacos purchased, t is as follows:
Therefore,
h = number of hamburgers purchased
t = the number of tacos purchased
Hence,
5h + 2.50t ≤ 60
Therefore, the inequalities that represent the problem is 5h + 2.50t ≤ 60
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-18-7(-10+8)+12
explain please
Answer:
8.
Step-by-step explanation:
Using Order of operations PEMDAS.
Arithmetic operations are done in the following order:
Parentheses, Exponents, Multiply, Divide, Add, Subtract.
So, we have:
-18 - 7(-10 + 8) + 12
= -18 - 7 * -2 + 12
= -18 + 14 + 12
= -4 + 12
= 8.
What is an expression for the sale price of a bracelet that has been discounted 35% from its
sticker price? Evaluate the expression for a sticker price of $60. Use the variable s for the sale
price and p for the sticker price.
The expression which represents the sales price of the bracelet in terms of the sticker price is; s = 0.65p and the evaluation for a sticker price of $60 is; $39.
Which expression represents the sales price of the bracelet in terms of the sticker price?It follows from the task content that the bracelet has been discounted 35% from its sticker price.
Hence, the sales price of the bracelet is therefore; (100 - 35)% of sticker price, p.
Therefore, we have;
s = (65/100) × p
s = 0.65p.
Ultimately, the evaluation for a sticker price of $60 is; s = 0.65(60).
s = $39.
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A rectangle that is 2 cm by 3 cm has been scaled by a factor of 5. What are the dimensions of the new rectangle? A.7 cm by 8 cm B.10 cm by 15 cm C.25 cm by 35 cm D.12 cm by 15 cm
Dimensions of new rectangle after getting scaled by factor of 5 are 10cm by 15cm. Option (B) is correct.
What is scale factor?
In two similar geometric figures the ratio of their corresponding side is scale factor let the old dimension be x and scale factor be a then new dimension will be a*x
If a>1 then their will be enlargement in the geometric figures
Given that rectangle that is 2 cm by 3 cm has been scaled by a factor of 5
It means scale factor be 5
New dimensions of given rectangle will be found by multiplying by 5
New length and breadth are 2*5=10
3*5=15
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please help quickly!!
Answer:
G(x)=-9 when x=5
Step-by-step explanation:
Replace X with 5
3x -x^2+1 becomes 3*5-5^2+1
Then solve
15-25+1=-9
In sale time at a certain clothing store, all shoes are on sale for $8 less than 50% of the original price. Write a function g that finds 50% of x by first rewriting 50% as a fraction or a decimal.
well, we can say that the function will be y = (50% of "x") - 8.
wait a minute! what's the 50% of "x" anyway?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{50\% of x}}{\left( \cfrac{50}{100} \right)x}\implies 0.5x~\hfill {\LARGE \begin{array}{llll} g=0.5x - 8 \end{array}}[/tex]