Select the correct answer.
What is the solution to this system of equations?
x + y = 10
2x - z = 9
y - 3z = -5

Answer:

4. it would take greater than 31.25 hrs for tims price to be better.

Step-by-step explanation:

Answer: The answer is 626

Step-by-step explanation:

Substitute 11 for x, you get 626.

The speed of the moving body that is being referred to here is 80 kilometer per hour.

The given problem is a straightforward one based on the idea of the universal law of motion. According to the universal law of motion, any uniformly traveling body's distance traveled is determined by the product of its speed and the time elapsed. Distance is calculated as speed * time. Therefore the body is going at a speed of 80 kilometers per hour, according to the same relation as above, assuming that it is moving at a constant speed.

                                \(Distance = speed * time\)

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An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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An expression is defined as a set of numbers, variables, and mathematical operations. The zeroes of the b(x) will be (5/4) and (-5/4).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The solution for the expression b(x) can be written as,

b(x)=16x²-25

b(x)= (4x)² - 5²

b(x)=(4x-5)(4x+5)

The zeroes of the b(x) will be (5/4) and (-5/4).

Hence, The zeroes of the b(x) will be (5/4) and (-5/4).

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Answer:

bsuxnd6djsj hsujehe I am going to have 3gysuue yusbe I will get the 2ybhsie usibeh I will h eyeh and the kids g. b73 yv 6e7ueh hehe gud b y I b 6hhe I am going to have to get a few things that are not on the schedule for me and I 2.

Answer:

It would be 125 spread in each square yard.

Step-by-step explanation:

Answer:

D) 16

Step-by-step explanation:

Find out the what is the constant of proportionality .

To prove

As given

A recipe says to use 3 cups of flour to make 48 cookies.

the number of cookies made, y, to the number of cups of flour used,x .

Then

y = kx

Where k is the constant of proportionality.

48/3k

k=16

Answer:

my answer is A

Step-by-step explanation:

if you work out the equation where you know that at the x intercept y=0 you will find A to be true

The length of the other diagonal of the rhombus is 24 units.

A rhombus is a parallelogram with four equal sides. Since the sides of the rhombus are 12 units long, all the sides are equal in length. One of the angles of the rhombus measures 60 degrees.

In a rhombus, the diagonals bisect each other at right angles, dividing the rhombus into four congruent right-angled triangles. The angle between the two diagonals is 60 degrees, which means that each right-angled triangle in the rhombus has a 30-degree angle.

To find the length of the other diagonal, we can use trigonometry. In a right-angled triangle with a 30-degree angle, the ratio of the length of the side opposite the angle to the length of the hypotenuse is 1/2. In this case, the side opposite the 30-degree angle is half the length of the diagonal we are trying to find.

Let's denote the length of the other diagonal as "d". Using trigonometry, we can set up the following equation:

sin(30 degrees) = (d/2) / 12

Simplifying the equation, we have:

1/2 = (d/2) / 12

Cross-multiplying, we get:

d/2 = 12 * 1/2

d/2 = 6

Multiplying both sides by 2, we find:

d = 12

Therefore, the length of the other diagonal of the rhombus is 24 units.

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Answer:

x=4.5

Step-by-step explanation:

MAB=MBC

AB=BC

3x+2=5x-7

7+2=5x-3x

9=2x

x=9/2

x=4.5

hope it helps..

have a great day!!

Answer:

x = 4.5

Step-by-step explanation:

here's your solution

=> AB = BC. ( both arc are equal )

=> 3x + 2 = 5x - 7

=> 3x - 5x = - 7 - 2

=> - 2x = - 9

=> x = 9/2

=> x = 4.5

hope it helps

The expression is expanded and simplified to 7y - 4

Note that algebraic expressions are described as mathematical expressions that are composed of coefficients, factors, constants, variables and terms.

They are also made up of some mathematical operations. These operations are;

From the information given, we have that;

5(y - 2) + 2(y - 3)

expand the bracket, we have;

5y - 10 + 2y - 6

collect the like terms

5y + 2y - 10 + 6

add the values

7y - 4

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Answer:

h = \(\frac{2A}{b}\)

Step-by-step explanation:

A = \(\frac{1}{2}\) bh ( multiply both sides by 2 to clear the fraction )

2A = bh ( isolate h by dividing both sides by b )

\(\frac{2A}{b}\) = h

Answer:

the answer-is 2

Step-by-step explanation:

-1-3x=-7

+1.      +1

-3x/-3=-6/-3

x=2

The solution to the initial value problem 1y"+3y'+2y=0 with y(0)=1 and y'(0)=-5 is:

\(y = -3e^{(-1t)} + 4e^{(-2t)}\)

We can solve the initial value problem 1y"+3y'+2y=0 with y(0)=1 and y'(0)=-5, using the Characteristic equation and Laplace transform.

1. Characteristic equation method: For the differential equation 1"+3y+2y=0, we can write the characteristic equation by replacing y with the exponential function, i.e.,

\(y=e^{(rt),\) where r is a constant value and can be found by replacing y with its exponential function, we get:

\(1"+3(e^{(rt)}) + 2(e^{(rt)}) = 0\)

Applying the derivative operator, we get:

\(r^{2}(e^{(rt)}) + 3r(e^{(rt)}) + 2(e^{(rt)}) = 0\)

Factorizing the above equation, we get:

(r+1)(r+2) = 0

Thus, we get two roots, r₁ = -1 and r₂ = -2.

The solution to the differential equation is then:

\(y = c_1 \ e^{(-1t)} + c_2 \ e^{(-2t)}\)

By applying the initial conditions, we get:

1 = c₁ + c₂ ----(1) and

-5 = -c₁ - 2c₂ ----- (2)

Solving the above equation, we get:

c₁ = -3 and c₂ = 4

Hence, the solution to the differential equation is:

\(y = -3e^{(-1t)} + 4e^{(-2t)}\)

2. Laplace transformation method: Taking Laplace transformation of the given differential equation, we get:

L{s''(t)}+ 3L{s(t)}+ 2L{s(t)}=0⇒ L{(s''(t)} + 5L{s(t)} = 0

We know that the Laplace transform of y(0)=1 is L{y(0)} = 1/s  and L{y'(0)} = -5/s². By solving the above equation using Laplace transformation, we get:

L{s(t)} = Y(s) = C₁/(s+1) + C₂/(s+2)

Applying the initial conditions, we get:

C₁ + C₂ = 1and C₁/(s+1) + C₂/(s+2) + 5/s² = -1

By solving the above equation, we get:C₁ = -3 and C₂ = 4

Thus, the solution to the differential equation is:

\(y(t) = L^{-1}{Y(s)}= -3e^{(-t)} + 4e^{(-2t)\)

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Complete Question:

Problem 16 (5 points): Consider the following initial value problem:

y'' + 3y' + 2y = 0,

y(0) = 1,

y'(0) = -5.

List more than one methods that you learned in class to solve the above initial value problem. Discuss the steps involved in each method and explain how they can be applied to find the solution of the given initial value problem.

Answer:

76.7 %

Step-by-step explanation:

Quantity of sports drink = 30 ounce

She drink 7 ounces

We need to find the percentage of ounces Kaitlyn has left of her sports drink.

Left drink = 30 - 7

= 23 ounce

Required percentage,

\(\%=\dfrac{23}{30}\times 100\\\\=76.7\%\)

So, Kaitlyn has left 76.7 % of her sports drink.

Sameer needs to sell the mixed apples at ₹111.22 per kg to make a profit of 30%.

Let's first calculate the cost price of the mixed apples:

Cost price of 20 kg apples bought at ₹80/kg = 20 x 80 = ₹1600

Cost price of 25 kg apples bought at ₹90/kg = 25 x 90 = ₹2250

Total cost price of mixed apples = ₹1600 + ₹2250 = ₹3850

To make a profit of 30%, Sameer needs to sell the mixed apples at a selling price that is 30% more than the cost price:

Selling price = Cost price + Profit

Profit = 30% of Cost price = 0.3 x ₹3850 = ₹1155

Selling price = ₹3850 + ₹1155 = ₹5005

To find the selling price per kg, we need to divide the total selling price by the total weight of the mixed apples:

Total weight of mixed apples = 20 kg + 25 kg = 45 kg

Selling price per kg = Total selling price / Total weight of mixed apples

Selling price per kg = ₹5005 / 45 kg = ₹111.22 per kg (approx.)

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The expression 45m - 6p - v12 is equivalent to 15m - 2p - 8v, which means that both expressions have the same value for all possible values of m, p, and v, where the expression is defined.

To see why these expressions are equivalent, we can simplify both of them by combining like terms. For the first expression, we have:

45m - 6p - v12

= 15(3m) - 2(3p) - 4v(3)

= 15m - 2p - 12v

For the second expression, we already have it in simplified form:

15m - 2p - 8v

Now we can see that both expressions are the same, with only the coefficient of v being different. However, since the question states that the expressions are equivalent for all values of m, p, and v where the expression is defined, it follows that the difference in coefficients of v does not affect the equivalence of the expressions.

In summary, the expressions 45m - 6p - v12 and 15m - 2p - 8v are equivalent, and this can be shown by simplifying both expressions and observing that they are identical apart from a difference in the coefficient of v, which does not affect their equivalence.

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Answer:

-3x-5 x-4 I this work good luck

Answer:

-(3x-5) (x-4)

Step-by-step explanation:

-3x^2+17x-20

Factor -1 out of -3x^2

-(3x^2)+17x-20

Factor -1 out of 17x

-(3x^2)-(-17x)-20

Rewrite -20 as -1(20)

-(3x^2)-(-17x)-1(20)

Factor -1 out of -(3x^2)-(-17x)

-(3x^2-17x)-1(20)

Factor -1 out of -(3x^2-17x)-1(20)

-(3x^2-17x+20)

Factor.

-((3x-5)(x-4))

Final Anwser:

-(3x-5) (x-4)

The mathematicians credited with developing the mathematical models that predict population growth in each of two competing species are Rosenzweig and MacArthur(OPTION A).

These two scientists developed a theory known as the "competitive exclusion principle," which states that two species competing for the same resources cannot coexist indefinitely. Instead, one species will eventually outcompete and displace the other species.
Rosenzweig and MacArthur's model is based on the Lotka-Volterra equations, which are a set of differential equations that describe the dynamics of predator-prey relationships. They extended this model to include two competing species and developed the concept of the "ecological niche" – the specific set of environmental conditions under which a species can survive and reproduce.
Their model predicts that the two species will reach a stable equilibrium, where their populations remain relatively constant over time. However, the exact outcome of the competition depends on several factors, including the initial population sizes of the two species, the relative strengths of their ecological niches, and the availability of resources.
Overall, Rosenzweig and MacArthur's mathematical model has been influential in the field of ecology, providing a framework for understanding how competing species interact and how ecosystems evolve over time.

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Answer:

x =10

Step-by-step explanation:

In a parallelogram, opposite sides are congruent

QT = RS

2x - 10 = x

Add 10 to both sides

2x = x + 10

subtract 'x' from both sides

2x -x = 10

x = 10

The statement is true. A network's physical topology refers to the arrangement of devices and cables that determine how signals travel electronically.

The physical topology of a network describes the physical arrangement of devices, cables, and other components that make up the network infrastructure. It defines how these elements are connected and how signals flow between them. The physical topology is concerned with the actual layout and structure of the network.

There are different types of physical topologies, including bus, star, ring, mesh, and hybrid topologies. In a bus topology, devices are connected to a central cable, and signals travel along the cable to reach their destination. In a star topology, devices are connected to a central hub or switch, and signals are transmitted from the source device to the hub/switch, which then distributes the signal to the destination device. A ring topology connects devices in a circular manner, where signals travel in one direction around the ring.

The physical topology determines factors such as signal propagation, fault tolerance, scalability, and network performance. It plays a crucial role in determining how efficiently and effectively signals travel electronically within a network. Therefore, the statement that a network's physical topology describes how signals travel electronically is true.

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Answer:

Choice C

According to the graph, f(2) = 2

The probability that a class of 50 has an average midterm mark that is less than 75 is value=0

Average is the mathematics mean, and is calculated by means of adding a group of numbers and then dividing with the aid of the count of these numbers. for instance, the average of 2, three, three, five, 7, and 10 is 30 divided with the aid of 6, that is five.

The common is described as the implied value that is identical to the ratio of the sum of the number of a given set of values to the whole wide variety of values gift within the set.

There are three primary sorts of common: imply, median, and mode. each of those techniques works slightly differently and frequency effects in barely specific regular values. The suggestion is the maximum normally used average. To get the suggested fee, you add up all of the values and divide this total by using the number of values.

The probability that a class of 50 has an average midterm mark that is less than 75

n = 50

P(<75)=P(Z<75)

P(Z<75−786√50)

P(Z<−3.5355)

We will look for the value in the StandardNormal able. We will get the value=0

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Answer:

91in in feet 7.5ft

Step-by-step explanation:

Answer:

there should be 14, 45 pound boxes

Step-by-step explanation:

1000-190= 810

810/45=14 boxes

The r-value ranges from -1 to +1, with -1 indicating a strong negative correlation. Therefore, the r-value closest to -1 represents the strongest negative correlation.

An r-value represents the strength and direction of a correlation between two variables. The strongest negative correlation occurs when the r-value is -1. In this case, as one variable increases, the other variable decreases consistently, showing a perfect negative linear relationship between the two variables.

The ability of a material to resist the flow of heat through it is gauged by the R-value , which is used in materials research and building construction. It measures the energy efficiency of insulation materials including fibreglass, foam board, and cellulose and is commonly represented in square metres kelvin per watt (m2K/W) units.

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Answer:

i think it might be the first or third one

Step-by-step explanation:

The value of x is 0.47

Here, we have:

Then, by the trigonometric formula:

Hence, the value of x by the trigonometric formula is 0.47

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