Dimitri wrote the equations y = 3x and y = x + 3.

Use the drop-down menus to make true statements about the equations and the graph.


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The formula to determine the area of a rectangle is:

Where

A is the area

w is the width of the rectangle

l is the length of the rectangle

If you know the area and the length of the rectangle, you can determine its width. First, write the formula for w, to do so, divide both sides of the equal sign by l

If A= 7448m² and l=98m, then you can calculate the width as follows:

The width of the parking lot is 76 meters

Answer:

No, 15/21 and 40/56 do not form a proportion.

Step-by-step explanation:

C have dimension of \(\frac{L}{T^2}\) in the given equation.

The term "dimension" refers to the power to which the fundamental quantities are magnified in order to express a physical quantity. The letters [M], [L], and [T] stand for mass, length, and time, respectively.

given the equation is:

x = \(\frac{1}{2}Ct^2\)

and given that x represents distance and t represents time

as we know Dimension of x id L and dimension of time is T

and according to dimensional analysis dimesion of Left side must be equal to dimension to Right side.

let [x] denote dimension of x

so [x] = [C] [\(t^2\)]

as [x] = L and [\(t^2\)] = \(T^2\)

L = [C] *  \(T^2\)

so [C]  = \(\frac{L}{T^2}\)

so dimenstion of C is  \(\frac{L}{T^2}\)

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The number of terms in geometric series with common ratio 0.5 is 5.

A geometric series is a set of integers where each term following the first is created by multiplying the term before it by a predetermined value called the common ratio. To put it another way, each term in the series is created by multiplying the term before it by a set integer.

The sum of a finite geometric sequence is given by the formula:

\(S = a(1 - r^n)/(1 - r)\)

Where, S is the sum of the series,

a is the first term,

r is the common ratio, and n is the number of terms.\(55.5625 = 28(1 - 0.5^n)/(1 - 0.5)\\\\55.5625(1 - 0.5) = 28(1 - 0.5^n)\\27.5625 = 28 - 28(0.5)^n\\0.4375 = (0.5)^n\\n = log(0.4375)/log(0.5)\\n = 4.17\)

Rounding the numbers, we have n = 5.

Hence, the number of terms in geometric series is 5.

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The general solution to the given differential equation is

y = ± √(1 / (2ln|t| + 4/t - C2))

To solve the given differential equation, we can use the method of separable variables. Let's go through the steps:

Rearrange the equation to separate the variables:

t^2y' + 2ty - y^3 = 0

Divide both sides of the equation by t^2:

y' + (2y/t) - (y^3/t^2) = 0

Now, we can rewrite the equation as:

y' + (2y/t) = (y^3/t^2)

Separate the variables by moving the y-related terms to one side and the t-related terms to the other side:

(1/y^3)dy = (1/t - 2/t^2)dt

Integrate both sides of the equation:

∫(1/y^3)dy = ∫(1/t - 2/t^2)dt

To integrate the left side, let's use a substitution. Let u = y^(-2), then du = -2y^(-3)dy.

-1/2 ∫du = ∫(1/t - 2/t^2)dt

-1/2 u = ln|t| + 2/t + C1

-1/2 (y^(-2)) = ln|t| + 2/t + C1

Multiply through by -2:

y^(-2) = -2ln|t| - 4/t + C2

Now, take the reciprocal of both sides to solve for y:

y^2 = (-1) / (-2ln|t| - 4/t + C2)

y^2 = 1 / (2ln|t| + 4/t - C2)

Finally, taking the square root:

y = ± √(1 / (2ln|t| + 4/t - C2))

Therefore, the general solution to the given differential equation is:

y = ± √(1 / (2ln|t| + 4/t - C2))

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Answer:

\( \frac{9 - 8}{12 } \\ = \frac{1}{12} \\ = 0.8333333...\)

Check the picture below.

Answer: The triangles are not congruent.

Step-by-step explanation:

We are given that the two triangles both contain a congruent angle and a congruent side. Additionally, the two triangles also share a side with each other, which is the center horizontal side (the one bisecting the two congruent angles). This "shared" side tells us that this side is congruent in both triangles, meaning that both triangles have two congruent sides with a non-included congruent angle among them.

However, because the two triangles only have two congruent sides, and the angle shared by each triangle is not included between the two sides, the triangle would be "congruent" by SSA, which is not a triangle congruency theorem or postulate.

Therefore, the two triangles are not congruent.

I hope this helps!

The quadrilateral that has diagonals that always bisect its angles and also bisect each other is a (1) rhombus.

In a Rhombus, the diagonals are perpendicular bisectors of each other, and they bisect each other at their point of intersection, dividing the rhombus into four congruent triangles.

Each angle of a rhombus is = 180° divided by number of sides, so each angle of a rhombus is 90°.

In a rectangle, the diagonals bisect each other, but they do not necessarily bisect the angles of rectangle.

In a parallelogram, the diagonals bisect each other, but they do not necessarily bisect the angles of parallelogram.

In an isosceles trapezoid, the diagonals do not bisect each other.

Therefore, the correct answer is option (1) rhombus.

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The given question is incomplete, the complete question is

Which quadrilateral has diagonals that always bisect its angles and also bisect each other?

1) rhombus

2) rectangle

3) parallelogram

4) isosceles trapezoid.

Answer:

the degree is 5

they are in decending order

Step-by-step explanation:

The area of the sector is 40 cm².

Let us consider a circle of radius 2 cm. If an arc of this circle subtends an angle of 20 radian to the centre, then the length of the arc and area of the sector such formed are as follows:Length of the arcThe arc length of a circle is given by the formula L = rθ where r is the radius of the circle and θ is the angle subtended by the arc of the circle in radians.L = rθWhere L = Length of the arc, r = radius of the circle and θ = angle subtended by the arc of the circle in radians.Substituting the values r = 2 cm and θ = 20 radians, we have:L = 2 x 20 cmL = 40 cmTherefore, the length of the arc is 40 cm.Area of the sectorThe area of a sector is given by the formula A = (1/2) r²θ where r is the radius of the circle and θ is the angle subtended by the arc of the circle in radians.A = (1/2) r²θWhere A = area of the sector, r = radius of the circle and θ = angle subtended by the arc of the circle in radians.Substituting the values r = 2 cm and θ = 20 radians, we have:A = (1/2) x 2² x 20A = (1/2) x 4 x 20A = 40 cm²Therefore, the area of the sector is 40 cm².

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The median rating assigned by the agents is  mathematically given as

X=4.35

This is further explained below.

Generally,4.35 is the middle rating that the agents have given the product.

In light of the fact that an airline requested that its agents rate the level of convenience offered by 114 flights departing from one of its hub locations on a scale ranging from 1 to 7, the following graph has to be evaluated in order to discover what the median rating that the agents gave was:

X=(8 x 1 + 11 x 2 + 19 x 3 + 17 x 4 + 23 x 5 + 25 x 6 + 11 x 7) / 114

X=(8 + 22 + 57 + 68 + 115 + 150 + 77) / 114

X=497/114

X=4.35

In conclusion, 4.35 is the median rating that the agents have given the product.

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Answer:

0.6 inch

Step-by-step explanation:

The volume of a sphere is calculated through the equation,

                           V = 4πr³/3

Which means that the radius is calculated by the equation,

                                (3V/4π)^(1/3) = r

Substituting,

           Sphere A,       (3x30/4π)^(1/3) = r = 1.927 in

           Sphere B,        (3x10/4π)^(1/3) = r = 1.336 in

When we subtract the radius, we get an answer of 0.59 inch. Therefore, the answer to this item is approximately 0.6 inch.

The amount of interest would be $8.4 Charis received at the end of two years.

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

We have been given data as:

Principal (P) = $140

Rate of Interest (R) = 3% = 3/100 = 0.03

Time (T) = 2 years

⇒ Simple interest  = P × R × T

Substitute the value of P, R, and T in the above formula,

⇒ Simple interest = 140 × 0.03 × 2

⇒ Simple interest = $8.4

Therefore, the amount of interest would be $8.4 Charis received at the end of two years.

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Answer:

\(p = \{x \ | \ x \in Q^+ \ and \ x \leq \$5,000 \}\)

Step-by-step explanation:

The expression for the cost of John's bike (p) using set notation can written as follows;

We note that the cost of the bike is a member of the positive rational number  and the cost price of the bike cannot exceed $5,000, therefore, it is less than or equal to $5,000, therefore, we get the following set notation;

\(p = \{x \ | \ x \in Q^+ \ and \ x \leq \$5,000 \}\)

Answer:

SOLUTION FOR A:

YOU NEED TO MULTIPLY THE VARIABLE FROM THE DENOMINATOR

SOLUTION FOR B:

MULTIPLY TO REMOVE THE VARIABLE FROM THE  DENOMINATOR

THE ANSWERS FOR SOLVING FOR B AND A ARE IN THE SCREENSHOTS

yk i just rlly wanted to type in caps-

The length AB represents the length of the minor arc in the circle. The formula required to find the length is given as:

We substitute the values of the angle = 140 degrees and the radius= 8m, to find the length of the arc AB

In conclusion, the length AB = 19.55m

The expressiοn syntax tree fοr the given well-balanced algebraic expressiοn is cοnstructed.

Let's gο thrοugh the steps tο cοnstruct an expressiοn syntax tree fοr a given well-balanced algebraic expressiοn. We'll use the stack, infix tο pοstfix, and pοstfix evaluatiοn tree cοnstructiοn techniques.

Let's assume we have the fοllοwing well-balanced algebraic expressiοn:

((a+b)*(c-d))/e

Step 1: Infix tο Pοstfix Cοnversiοn

We'll cοnvert the given infix expressiοn tο pοstfix nοtatiοn using the stack.

Infix Expressiοn: ((a+b)*(c-d))/e

Pοstfix Expressiοn: ab+cd-*e/

Step 2: Cοnstructing the Pοstfix Evaluatiοn Tree

We'll use the pοstfix expressiοn tο build the evaluatiοn tree. Each οperand and οperatοr will be represented as a nοde, and the οperands will be the children οf the οperatοr nοdes.

Pοstfix Expressiοn: ab+cd-*e/

Step 3: Infix Traversal

We'll perfοrm an infix traversal οf the evaluatiοn tree tο οbtain the expressiοn in infix nοtatiοn.

Infix Traversal: ((a+b)*(c-d))/e

Sο, the expressiοn syntax tree fοr the given well-balanced algebraic expressiοn is cοnstructed.

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Answer:

City Carpet and Flooring advertises that they can install 1,200 square feet

of carpet in 2 hours. Select whether each installation rate has the same

unit rate, in square feet per hour, as City Carpet and Flooring. 7.RP.1,7.NS.3

Yes No

0

0

0

0

960 square feet of carpet in 2 hours

1,000 square feet of carpet in 12 hours

320 square feet of carpet in hour

Step-by-step explanation:

In exchange for storing a certain amount of money for a certain period of time, such as six months, a year, or five years, the issuing bank will pay interest on a certificate of deposit (CD), a form of savings account. When you cash in or redeem your CD, you will receive the amount you originally put in plus any interest.

The Complete Question is  certificate of deposit.

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In exchange for storing a certain amount of money for a certain period of time, such as six months, a year, or five years, the issuing bank will pay interest on a certificate of deposit (CD), a form of savings account. When you cash in or redeem your CD, you will receive the amount you originally put in plus any interest.

In the US, credit unions, thrifts, and banks typically provide certificates of deposit (CDs), a sort of time deposit.

Savings accounts and certificates of deposit (CDs) differ from one another since a CD frequently has a fixed interest rate and a predetermined length of time (commonly one, three, or six months).

The bank anticipates that the CD will be retained until it matures, at which point it can be withdrawn and interest is paid. Certificates of deposit (CDs) are essentially risk-free up to the local insured deposit limit because they are guaranteed to be "money in the bank" (in the US, up to $250,000), similar to savings accounts.

The Federal Deposit Insurance Corporation (FDIC) and National Credit Union Administration (NCUA) respectively insure CDs in the US for banks and credit unions.

Although this may not always be the case when the yield curve is inverted, institutions usually pay higher interest rates for deposits made by customers for a fixed amount of time than they do for demand-withdrawal accounts.

a. n= 39+ 19+ 12

     = 70

Proportion = x/70 = 12/70

b. No

However ,there is a small positive impact of the advertisement but we can't say entirely that the advertisement was effective.

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For the rational expression:

a. Atx = - 2 , the graph of r(x) has (2) a vertical asymptote.

b At x = 0, the graph of r(x) has (5) a y-intercept.

c. At x = 3, the graph of r(x) has (6) no key feature.

d. r(x) has a horizontal asymptote at (3) y = 2.

a. Atx = - 2 , the graph of r(x) has a vertical asymptote.

The denominator of r(x) is equal to 0 when x = -2. This means that the function is undefined at x = -2, and the graph of the function will have a vertical asymptote at this point.

b At x = 0, the graph of r(x) has a y-intercept.

The numerator of r(x) is equal to 0 when x = 0. This means that the function has a value of 0 when x = 0, and the graph of the function will have a y-intercept at this point.

c. At x = 3, the graph of r(x) has no key feature.

The numerator and denominator of r(x) are both equal to 0 when x = 3. This means that the function is undefined at x = 3, but it is not a vertical asymptote because the degree of the numerator is equal to the degree of the denominator. Therefore, the graph of the function will have a hole at this point, but not a vertical asymptote.

d. r(x) has a horizontal asymptote at y = 2.

The degree of the numerator of r(x) is less than the degree of the denominator. This means that the graph of the function will approach y = 2 as x approaches positive or negative infinity. Therefore, the function has a horizontal asymptote at y = 2.

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Answer:

3 x X - 14

Step-by-step explanation:

Is your algebra expression.

Answer:

3x-14

Step-by-step explanation:

Product of 3 and number is 3*x

For " 14 fewer than.." we simply subtract 14.

So we get 3x-14

The probability sum of the dice is 2/11.

Let A be the event that the sum of dots is 5, then

A={(1,4), (2,3), (3,2), (4,1)}

n(A)=4

And, B is the event that one die shows a "one"

B={(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (3,1), (4,1), (5,1), (6,1)}

n(B)=11

The Event that some of the dots are five and one of the die shows "one".

A intersection B = {(1,4), (4,1)}

Since n(A) = 36 (thirty-six possible samples of two dice)

P(A)=4/36

P(B)=11/36

P(A intersection B)=2/36

So, the required probability is

P(A|B)=P(A intersection B)/P(B) =2/11

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Answer:

D. 7

Step-by-step explanation:

Answer:

kakaakasksjnxznxccchjvgv

Step-by-step explanation:

The particular solution of the differential equation in the integral form is

yp(x) = -2[G(x)]f(x) = -2G(x) ∫ f(t) dt + C

For finding a particular solution yp(x) of the given differential equation using the integral form, we can follow these steps:

yp(x) = G(x)f(x) ........... (1)

Given the differential equation is y" + 2y' + y = f(x)

Substituting yp(x) = G(x)f(x) into the differential equation, we get:

y" + 2y' + y = f(x)

By differentiating the expression for yp(x) twice, we gety

p'(x) = G'(x)f(x) + G(x)f'(x)

yp''(x) = G''(x)f(x) + 2G'(x)f'(x) + G(x)f''(x)

Substituting these values in the differential equation:

y''(x) + 2y'(x) + y(x) = yp''(x) + 2yp'(x) + yp(x) = [G''(x) + 2G'(x) + G(x)]f(x) + [2G'(x) + G(x)f''(x)]

When we compare the coefficient of f(x) on both sides of the equation. It is given that the function G(x) satisfies the equation G''(x) + 2G'(x) + G(x) = 0

Now,

[2G'(x) + G(x)]f''(x) + [G''(x) + 2G'(x) + G(x)]f(x) = f(x)

Substituting the given value of the differential equation, f(x) = fx) and simplifying the above expression, we get

[2G'(x) + G(x)]fx) = f(x)

Comparing the above expression with the given equation, we can obtain G(x) as

G(x) = -2G'(x)

Substituting this value in equation (1), we get

yp(x) = G(x)f(x) = -2G'(x)f(x)

So the required particular solution yp(x) of the given differential equation in integral form yp(x)-G(x, t)f(t) dt y" + 2y' + y = fx) is given as

yp(x) = -2[G(x)]f(x) = -2G(x) ∫ f(t) dt + C

where G(x) satisfies the equation G''(x) + 2G'(x) + G(x) = 0 and C is a constant of integration.

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The statement, "Under consent once removed-exception, officers cannot make a "warrantless-entry" to arrest suspect" is False because officers can make a warrantless entry.

This exception allows law enforcement officers to rely on the consent initially given by the suspect to the undercover officer or informant as a basis for making a warrantless entry to effectuate an arrest.

The rationale behind this exception is that the suspect's consent remains valid even if it was given to someone acting undercover or in an informant capacity.

Therefore, the statement that officers cannot make a warrantless entry under the consent once removed exception is false.

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The discount rate raised to nth power.

NPV is defined as Net Present Value. It is mainly used in capital budgeting and investment planning for the purpose of analyzing the project profit. NPV is the difference between  the present value of cash inflows and the present value of cash outflows in a period of time. The occurrence of cashflows in a series at different times is termed as NPV. NPV is a measure widely used in finance and commercial real estate. It is used to help taking decisions in accounting calculation. The cashflow that is discounted can be termed as NPV.

A simple example for NPV is, If a security offers a series of cashflows with an NPV of $30,000 and an investor pays exactly $30,000 for it, then the  investor's, NPV is $0.

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Answer:

true

Step-by-step explanation:

I haven't a clue on what is going on here but I will act like I do

Answer:

I will say true

Step-by-step explanation:

Thanks for free points

The equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100. Option C is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Amount of ammonia in the solution 16%  x 22 gallons  =  3.52 gallons

The proportion of ammonia remains the same as the water evaporates, but the total composition of the solution is decreased by the amount of water that evaporates.

Quantity of ammonia = 3.52 gallons

Quantity of water after evaporation = 22 - n

Composition of ammonia after evaporation of water, 24% = 24/100

Now the percentage of ammonia after evaporates
Quantity of ammonia / Remaining water = 24%
3.52 / (22 - n) = 24 / 100

Thus, the equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100.

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