Find the value of each variable

Answer:

it can be A or B it doesn't matter because 25-5>10 and 20-5>10

Answer:

Move all terms not containing a to the right side of the inequality.
Inequality Form:
X> 15
Interval Notation:
(15

Step-by-step explanation:

Answer: x = -1

Step-by-step explanation:

simplify 2(x + 7) 2 / 3 = 8 to 4x + 28 = 24 and then solve it from there

no entendí bien puedes explicar mejor la pregunta si la entendí pero el contenido si

It is verified that the given vectors x₁ and x₂ are solutions of the given system. Using Wronskian it is shown that they are linearly independent. Then, \(W(t)=7e^{-3t}\). The general solution of the given system is written as \(x(t)=\left[\begin{array}{c}3c_1e^{2t}+c_2e^{-5t}\\2c_1e^{2t}+3c_2e^{-5t}\end{array}\right]\).

Wronskian analysis helps to determine whether a solution is linearly dependent or independent.

Given the system is \(x'=\left[\begin{array}{ccc}4&-3\\6&-7\end{array}\right]x\).

Let's differentiate x₁ concerning t, and we get,

\(\begin{aligned}x_1'&=\left[\begin{array}{c}\frac{d}{dt}(3e^{2t})&\\\frac{d}{dt}(2e^{2t})&\end{array}\right] \\&=\left[\begin{array}{c}6e^{2t}&\\4e^{2t}&\end{array}\right] \end{aligned}\)

Now,

\(\begin{aligned}\left[\begin{array}{ccc}4&-3\\6&-7\end{array}\right]x_1&=\left[\begin{array}{ccc}4&-3\\6&-7\end{array}\right]\left[\begin{array}{c}3e^{2t}\\2e^{2t}\end{array}\right]\\&=\left[\begin{array}{c}12e^{2t}-6e^{2t}\\18e^{2t}-14e^{2t}\end{array}\right]\\&=\left[\begin{array}{c}6e^{2t}\\4e^{2t}\end{array}\right]\\&=x_1'\end{aligned}\)

From this, we can write,

\(x_1'=\left[\begin{array}{cc}4&-3\\6&-7\end{array}\right]x_1\)

Therefore, we conclude that x₁ is a solution to the given system.

Let's differentiate x₂ concerning t, and we get,

\(\begin{aligned}x_2'&=\left[\begin{array}{c}\frac{d}{dt}(e^{-5t})&\\\frac{d}{dt}(3e^{-5t})&\end{array}\right] \\&=\left[\begin{array}{c}-5e^{-5t}&\\-15e^{-5t}&\end{array}\right] \end{aligned}\)

Now,

\(\begin{aligned}\left[\begin{array}{ccc}4&-3\\6&-7\end{array}\right]x_2&=\left[\begin{array}{ccc}4&-3\\6&-7\end{array}\right]\left[\begin{array}{c}e^{-5t}\\3e^{-5t}\end{array}\right]\\&=\left[\begin{array}{c}4e^{-5t}-9e^{-5t}\\6e^{-5t}-21e^{-5t}\end{array}\right]\\&=\left[\begin{array}{c}-5e^{-5t}\\-15e^{-5t}\end{array}\right]\\&=x_2'\end{aligned}\)

From this, we can write,

\(x_2'=\left[\begin{array}{cc}4&-3\\6&-7\end{array}\right]x_2\)

Therefore, we conclude that x₂ is also a solution to the given system.

Now, find the Wronskian of x₁ and x₂, we get,

\(\begin{aligned}W(t)&=\text{det}[x_1\;x_2]\\&=\text{det}\left[\begin{array}{cc}3e^{2t}&e^{-5t}\\2e^{2t}&3e^{-5t}\end{array}\right] \\&=(3e^{2t}\times3e^{-5t})-(e^{-5t}\times2e^{2t})\\&=9e^{2t-5t}-2e^{2t-5t}\\&=9e^{-3t}-2e^{-3t}\\&=7e^{-3t}\\&\neq0\end{aligned}\)

From this, we can conclude that x₁ and x₂ are independent.

Finally, we write the general solution of the system as follows,

\(\begin{aligned}x(t)&=c_1x_1+c_2x_2\\&=c_1 \left[\begin{array}{c}3e^{2t}\\2e^{2t}\end{array}\right] +c_2\left[\begin{array}{c}e^{-5t}\\3e^{-5t}\end{array}\right] \\&=\left[\begin{array}{c}3c_1e^{2t}\\2c_1e^{2t}\end{array}\right] +\left[\begin{array}{c}c_2e^{-5t}\\3c_2e^{-5t}\end{array}\right]\\&=\left[\begin{array}{c}3c_1e^{2t}+c_2e^{-5t}\\2c_1e^{2t}+3c_2e^{-5t}\end{array}\right] \end{aligned}\)

The complete question is -

First, verify that the given vectors are solutions of the given system. Then use the Wronskian to show that they are linearly independent. Finally, write the general solution of the system.

\(x'=\left[\begin{array}{ccc}4&-3\\6&-7\end{array}\right]x;\; x_1=\left[\begin{array}{ccc}3e^{2t}\\2e^{2t}\end{array}\right], \;x_2=\left[\begin{array}{cc}e^{-5t}\\3e^{-5t}\end{array}\right]\)

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The given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

Equation is a mathematical expression that consists of variables, symbols, and numbers, and shows the relationship between different quantities. An equation can involve one or more unknowns, and can be represented as an equality or as an inequality. Solving an equation requires understanding the relationship between the different elements in the equation, and manipulating the equation to isolate the unknowns. Common types of equations include linear equations, quadratic equations, and polynomial equations.

From this diagram, we can conclude that $\angle ABC$ is an isosceles triangle. This is because the angles opposite equal sides of a triangle must be equal. Since $\angle BAC=24^\circ$, $\angle ABC$ must be $24^\circ$. Furthermore, the sides $AB$ and $AC$ are equal, so $ABC$ is an isosceles triangle.

This conclusion can be verified by using the Pythagorean Theorem. If $AB=AC$, then it follows that $BC = \sqrt{AB^2 + AC^2} = \sqrt{2AB^2}$. Since $AB=3$, it follows that $BC=\sqrt{2*3^2}=6$. Therefore, the triangle $ABC$ is a right triangle with legs of length 3 and hypotenuse of length 6. Since $\angle BAC = 24^\circ$, it follows that $\angle ABC = 24^\circ$, verifying that the triangle is isosceles.

In conclusion, the given diagram implies that the triangle $ABC$ is an isosceles triangle with angles of $24^\circ$. This can be verified by computing the length of the hypotenuse and using the Pythagorean Theorem.

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Answer:

78

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

move the constant to the right

calculated it

divide both sides then you get the answer

Answer:

The y intercept is (0,-22)

Step-by-step explanation:

The y intercept is the value when x =0

Y=5x-22

y = 5*0 -22

y = -22

The y intercept is (0,-22)

The two solutions are (0, 1) and (-4, 0)

From the question, we have the following parameters that can be used in our computation:

Graph of a linear relationship

From the graph of the linear relationship, we have the following points on the line

(0, 1) and (-4, 0)

Hence, the solutions are (0, 1) and (-4, 0)

On the graph, we can see that as x increases, the y value increases

This means that the graph is an increasing graph

In (a), we have

(0, 1) and (-4, 0)

These points represent the intercepts

So, we have

x-intercept= -4

y-intercept = 1

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (0, 1) and (-4, 0)

Substitute the known values in the above equation

So, we have the following equation

Slope = (0 - 1)/(-4 - 0)

Evaluate

Slope = 0.25

Hence, the slope of the line is 0.25

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Answer:

M, B, A, T, K are the points of the statement: x<y

Step-by-step explanation:

oh dis is easy peasy lemony squeezy yes big bran time now onto the question :D

So the X has to be smaller than the Y. right?

ok, let's go with point M first shall we?

Coordinates are: 0, 6

is X smaller than Y? yes. yes indeed it is...

----------------------------------------------------------

Point N:

Coordinates are: 3, 3

Is X smaller than Y? no. No they are not.

------------------------------------------------------------

Then you continue doing this for the rest of the points. Remember: Negatives are a bit tricky! -3 may not be smaller than -6 :)

Answer:

a,i,o,r,t

Step-by-step explanation:

Answer:

will it will be D because That the y - intercept

We can use the concept of Line Intercept form . She should count up 2 and right 1 . So the correct option is D.

When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula. We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable. Set x = 0 and then solve for y to find the y-intercept.

  y=mx+b is the slope intercept formula

The given equation is y=2x-7.

By comparing to slope intercept formula y=mx+b,

   m=2 and b=-7.  

   So the slope of the given equation is 2 and y-intercept is (0,-7).

we know that,

             m=rise/run

             so rise=2 and run=1 that means Sam needs to count up 2 and right 1 to graph the equation using the given slope.

We can use the concept of Line Intercept form . She should count up 2 and right 1 . So the correct option is D.

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Answer:

0.098-0.607-0.78-4.003-5.6

Step-by-step explanation:

The numbers in orders that starting with the smallest should be considered as the 0.098-0.607-0.78-4.003-5.6.

Since the list of the number should be like

0.78

0.607

5.6

0.098

4.003

So here we sequence the numbers from the smallest to the largest

So it should be like 0.098-0.607-0.78-4.003-5.6.

Hence, The numbers in orders that starting with the smallest should be considered as the 0.098-0.607-0.78-4.003-5.6.

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Answer:

c = 0.63(s)

Step-by-step explanation:

brainliest please<3

Using Altitude/leg Theorem. The solution for x are:

No.3: x = 12 units

No. 4: x = 8√3 units

What is Altitude/Leg Theorem?

Leg-acute is referred to in the LA theorem. It says that if the leg and acute angle of one right triangle match the leg and acute angle of another right triangle, the triangles are congruent.

No. 3

Using the altitude theorem:

x = √(16*9)

x = 12 units

The Leg Rule states that the length of each leg of a right triangle can be found by taking the square root of the product of the hypotenuse and the adjacent segment on that leg.

In mathematical notation, if we have a right triangle with legs a and b, and hypotenuse c, then we have:

a² = bc or a = √(bc) and

b² = ac or b = √(ac)

No. 4

hypotenuse = 12 + 4 = 16

x = √(16 * 12)

x = 8√3 units

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Answer: 81 + 49 + 1000

Step-by-step explanation:

Answer: 2,198,000

Step-by-step explanation:

(81 + 49)^3 + 1000

2,197,000 + 1000

2198,000

BRAINLEST PLPSS

Answer: rectangular prism, triangular prism, 6

Step-by-step explanation:

The area of base of the triangular prism can be calculated by the half of the product of the height of the triangular base of prism and base of prism.

The area of base of the rectangular prism can be calculated by the product of the length of the rectangular base of prism and the breadth of prism.

The area of the bottom section of the second floor = 2( area of the front part of the wall + area of the side of the wall)

= 2( 20*h + 25*h)

=90h

The front and back of top section of second floor = 2* area of the front wall=2*(1/2*20*(h+4))=20h+80

Total area of the second floor=total area of the window+total area to be painted

⇒Total area of the second floor= 728 + (2* area of the window)

⇒Total area of the second floor= 728 + (2*3*2)

⇒area of front and back of top section of second floor + The area of the bottom section of second floor = 728+12

⇒area of front and back of top section of second floor + The area of the bottom section of second floor = 740

⇒(20h+80)+90h=740

⇒110h+80=740

⇒110h=740-80

⇒110h=660

⇒h=660/110

⇒h=6 feet

Therefore the value of h is 6 feet.

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Answer:

D

Step-by-step explanation:

A relation is a function is each input maps onto no more than one output.

Answer:

hi

Step-by-step explanation:

Find an answer to your question The volume of the box is 448 ft'. Find its length and width. 4 ft X-6 X The box has a length of ft and a width of ft.

hope this helps

Answer:

$90

Step-by-step explanation:

Given data

Given data

Loss= $13.5

Percentage of the loss= 15%

Let the full loss be x

Hence we can find the value of x as

15/100*x= 13.5

0.15x= 13.5

divide both sides by x

x= 13.5/0.15

x= $90

Hence the loss in full is $90

Answer: 100

Step-by-step explanation:

Calculate it and 85.7272727273 is closer to 100 so its 100

Answer:

\(5x+11\)

Step-by-step explanation:

Step 1: Distribute

\(3x+6+2x+5\)

Step 2: Add like terms

\(5x+11\) < your answer

It should be noted that the arc measure of minor arc AC is 174 degrees. The angle is a one hundred and seventy four degree angle.

In order to find the arc measure of minor arc AC, we need to calculate the sum of the central angles APB and BPC.

Given that angle APB is 70 degrees and angle BPC is 104 degrees, we can calculate the arc measure as follows:

Arc measure of minor arc AC = (Central angle APB + Central angle BPC) degrees

Arc measure of minor arc AC:

= (70 degrees + 104 degrees)

Arc measure of minor arc AC

= 174 degrees

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Answer:

p = 18

Step-by-step explanation:

Let's solve your equation step-by-step.

−2(8p+2)−3(2−7p)=2(4+2p)

Step 1: Simplify both sides of the equation.

−2(8p+2)−3(2−7p)=2(4+2p)

(−2)(8p)+(−2)(2)+(−3)(2)+(−3)(−7p)=(2)(4)+(2)(2p)(Distribute)

−16p+−4+−6+21p=8+4p

(−16p+21p)+(−4+−6)=4p+8(Combine Like Terms)

5p+−10=4p+8

5p−10=4p+8

Step 2: Subtract 4p from both sides.

5p−10−4p=4p+8−4p

p−10=8

Step 3: Add 10 to both sides.

p−10+10=8+10

p=18

Therefore, the final answer is 18, I hope this helps :D

Answer:

p=18

Step-by-step explanation:

See image below:)

Answer:

a b d

Step-by-step explanation:

c and e is dividing by 0 you can not divide by zero but the others will equal 0

Answer:

20°

Step-by-step explanation:

Step 1:

x + 40° = 3x       Vertical ∠'s

Step 2:

40° = 2x      Subtract x on both sides

Step 3:

x = 40° ÷ 2     Divide

Answer:

x = 20°

Hope This Helps :)

The discount rate that should be applied to a new project's cash flows is the Weighted Average Cost of Capital (WACC). To calculate WACC, you need to first calculate the cost of debt. This is done by taking the face value of the bonds ($1000) multiplied by the coupon rate (8%) multiplied by (1 - the tax rate (26%)), which equals 5.92%. The cost of debt is then calculated by taking the market value of the debt (6,380 x $1,000 x 99.1%) and dividing this by the total market value of the debt plus the market value of the equity (6,380 x $1,000 x 99.1% + 76,650 x $50 + 14,250 x $80), which equals 5.22%.

Next, you need to calculate the cost of equity using the Capital Asset Pricing Model (CAPM). This is done by taking the risk-free rate (3.21%) plus the market risk premium (9.79%) multiplied by the firm's beta (1.47), which equals 17.18%.

The WACC is then calculated by taking the cost of equity multiplied by the proportion of equity (76,650 x $50 + 14,250 x $80 divided by the total market value of the debt plus the market value of the equity) plus the cost of debt multiplied by the proportion of debt (6,380 x $1,000

Answer:

\(P(x = 0) = 0.061\)

Step-by-step explanation:

Given

\(Average = 2.8\)

Required

Determine the probability that no car will arrive.

Since it is a Poisson distribution, the required probability is:

\(P(x) = \frac{e^{-m}m^x}{x!}\)

Where

\(m = average = 2.8\)

In this case;

\(x = 0\)

So:

\(P(x) = \frac{e^{-m}m^x}{x!}\)

\(P(x = 0) = \frac{e^{-2.8}2.8^0}{0!}\)

\(P(x = 0) = \frac{e^{-2.8}*1}{1}\)

\(P(x = 0) = e^{-2.8}\)

\(P(x = 0) = 0.06081006262\)

\(P(x = 0) = 0.061\) --- Approximated

Velocity is not constant over time and can be influenced by a variety of factors. Changes in velocity can have implications for the relationship between changes in the money supply and the price level, highlighting the complexity of monetary dynamics in an economy.

According to the quantity equation (MV = PQ), changes in the money supply (M) will lead directly to changes in the price level (P) if velocity (V) and real GDP (Q) remain constant. However, velocity is not necessarily constant over time and can be influenced by various factors.

Velocity represents the rate at which money circulates in the economy, indicating how quickly money is used to facilitate transactions. It is influenced by factors such as changes in consumer and business behavior, technological advancements, financial innovation, and shifts in confidence and trust in the economy.

Changes in velocity can occur due to several reasons. For example:

Changes in Transaction Patterns: Shifts in consumer preferences or business practices can alter the frequency and speed of transactions, affecting how money circulates and influencing velocity.

Financial Innovation: Advancements in payment systems, such as the rise of electronic transactions, online banking, or mobile payments, can potentially impact the velocity of money by facilitating faster and more efficient transactions.

Confidence and Economic Stability: Changes in economic conditions, inflation expectations, or financial stability can influence people's willingness to hold money, affecting velocity.

Monetary and Fiscal Policies: Changes in monetary policy, such as interest rate adjustments or changes in the money supply, can indirectly affect velocity by influencing borrowing and spending behavior.

While changes in velocity can occur independently of changes in the money supply, they can also be related. For instance, if the money supply increases without a corresponding increase in the demand for money (velocity decreases), it can put upward pressure on prices. On the other hand, if velocity increases due to changes in transaction patterns or increased economic activity, it can offset the impact of changes in the money supply on prices.

Overall, velocity is not constant over time and can be influenced by a variety of factors. Changes in velocity can have implications for the relationship between changes in the money supply and the price level, highlighting the complexity of monetary dynamics in an economy.

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