Find the general solution to the homogeneous system of DE: -11 x' = Ax where A = [-26 41 Hint: Write your answer x(t) in the form of eat [cos(ht) + sin(bt)].

Answer:

The answer is x= -4/3

Step-by-step explanation:

3(x-4)=12x

=3x-12=12x

=3x-3x-12=12x-3x

-12=9x

To find x divide both sides by 9.

-12÷9=9x÷9

-4/3=x

Answer:

The value of x is 70

Step-by-step explanation:

Here, we want to find the value of x

To do this, we are going to use one of the circle tangent relationships

we have this as;

24 = (118-x)/2

2(24) = 118-x

48 = 118-x

x = 118-48

x = 70

Developing strategies for remembering facts is essential for children before they engage in drill and practice activities to develop fluency. By establishing these strategies, children can effectively learn, retain, and recall information, ultimately enhancing their performance during practice sessions.

Yes, it is important for children to develop strategies for remembering facts before engaging in drills and practice to develop fluency. By doing so, children can enhance their ability to recall information more quickly and accurately, making it easier for them to perform well on tests and assignments. Strategies such as visualizing, chunking, and using mnemonic devices can help children remember information more effectively. Once these strategies are established, drill and practice can then be used to further reinforce their understanding and speed up their recall time. This approach can ultimately lead to improved academic performance and a stronger foundation for learning.

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the answer is 432 because 24 times 18 is 432

Your welcome ;)

Answer:

Step-by-step explanation:

it's the base * height , where height = 24 cm for this question & base =18 cm

24*18 = 432 \(cm^{2}\)

Therefore, the given equation is true and we have successfully proved that the first side is equal to the second side.

Given, A + (AB) = A + B

First we take LHS, then expand using distributive property:

A + (AB) = A + B

=> A + AB = A + B

=> AB = B

Subtracting B from both the sides we get:

AB - B = 0

=> B (A - 1) = 0

So, either B = 0 or (A - 1) = 0.

If B = 0, then both sides are equal as 0 equals 0.

If (A - 1) = 0, then A = 1.

Substituting A = 1, the given equation is rewritten as:(1 + B) = 1 + B => 1 + B = 1 + B

Thus, both sides are equal.

Hence, we can say that the first side is equal to the second side.

Proof: A + (AB) = A + B(1 + B) = 1 + B [As we have proved it in above steps]

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The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2.

b = 1, ≥

From the diagram, the solution to the inequality is x ≥ 1 and x ≤ -3

Hence:

|x + b| ≥ 2

x + b ≥ 2 or -(x + b) ≥ 2

x ≥ 2 - b or x ≤ -2 - b

2 - b = 1 and -2 - b = -3

b = 1

Hence |x + 1| ≥ 2

The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2. b = 1, ≥

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Answer:

6 kg/m

Step-by-step explanation:

mass m = 3x^2.

rho ρ= dm/dx =6x

ρ(1) =6 Kg/m

linear density is the derivative of mass (m)  with respect to position(x)

that is how fast is the mass changing at that position.

Answer:

Step-by-step explanation:

The key for this assignment is look at the units and values given. What is the desired units/value? You could also use d = r*t assuming a constant rate.

1.) If you look at the units for distance and time, and you know you want m/s for speed, then you can see division would be solution.

d = rt

40 = r(10)

r = 40/10

2.) d = rt

425 = (50)t

t = 8.5s

3.) d = rt

d = (35.25)(4)

d = 141km

4.) Add the distances together by using the equation twice for the way there and back.

216 = (48)t

t = 4.5

216 = (54)t

t = 4

4.5 + 4 = 8.5 hours

5.) Do the same thing from problem number four

210 = r(3.5)

r = 60m/h

130 = r(2.5)

r = 52mi/h

Average means the sum of the values divided by 2

0.5(60+52) = 56mi/h

Answer:

i think it's 100+y²

Step-by-step explanation:

look at the picture

a. Rounding to the nearest whole number, the estimated population of deer in 2020 is approximately 2,885.

b. Based on the calculations, there will be around 2,885 deer in 2020 and around 3,063 deer in 2011.

a. To find the number of deer in 2020, we need to calculate the population after 6 years, considering a 2% annual decrease.

First, let's calculate the population for each year from 2014 to 2020.

We'll use the formula:

Population = Initial Population \(\times\) (1 - Rate of Decrease/100)^Number of Years

For 2014, the initial population is given as 3,256.

We subtract 2% (0.02) from 1 to get the rate of decrease.

Population_2014 \(= 3,256 \times (1 - 0.02)^0 = 3,256\)

For 2020, we want to find the population after 6 years:

Population_2020 \(= 3,256 \times (1 - 0.02)^6 \approx 3,256 \times 0.98^6 \approx 3,256 \times 0.8853 \approx2,885.09.\)

Rounding to the nearest whole number, the estimated population of deer in 2020 is approximately 2,885.

b. To find the number of deer in 2011, we need to calculate the population 3 years prior to 2014.

Population_2011 \(= 3,256 \times (1 - 0.02)^3 \approx 3,256 \times 0.98^3 \approx 3,256 \times 0.941192 \approx 3,062.56\)

Rounding to the nearest whole number, the estimated population of deer in 2011 is approximately 3,063.

Therefore, based on the calculations, there will be around 2,885 deer in 2020 and around 3,063 deer in 2011.

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Answer:

3

y=mx+b

b is the intercept

Answer:

if you look up the last sentence, there is a website with the exact answer

Step-by-step explanation:

BRAINLIEST please? sorry caps lol

We would need a minimum of 8 customer service representatives to achieve an average waiting time of 2 minutes.

To determine the minimum number of customer service representatives needed to achieve an average waiting time of 2 minutes, we can use the M/M/1 queuing model formula:

where L is the average number of customers waiting in the queue, λ is the arrival rate (calls per minute), and W is the average time a customer spends waiting in the queue.

First, we need to convert the arrival rate from every 7 minutes to arrivals per minute:

Next, we need to find the service rate, which is the reciprocal of the service time:

The utilization factor (ρ) is calculated as the ratio of arrival rate to service rate:

Using Little's Law, we can calculate the average number of customers in the system:

This negative value implies that the system is unstable and would result in an infinite queue. Therefore, we need to increase the number of customer service representatives to reduce the average waiting time.

Assuming we want to achieve an average waiting time of 2 minutes, we can rearrange the formula to solve for the minimum number of customer service representatives (n):

n = (ρ² + ρ) / (2 * (1 - ρ) * (1 - 2 * ρ * \(e^{(-p/2)}\)))

n ≈ 7.89

Therefore, we would need a minimum of 8 customer service representatives to achieve an average waiting time of 2 minutes.

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Answer:

No!

Step-by-step explanation:

An integer is a a whole negetive number. A few examples are 4, -4, or even 4/4.

Answer:

1047

Step-by-step explanation:

a_n = a_1 + (n - 1)d

a_19 = 243

a_11 = 147

243 = a_1 + (19 - 1)d

147 = a_1 + (11 - 1)d

243 = a_1 + 18d

147 = a_1 + 10d

a_1 = 243 - 18d

a_1 = 147 - 10d

243 - 18d = 147 - 10d

-8d = -96

d = 12

a_1 = 147 - 10d

a_1 = 147 - 10(12)

a_1 = 27

The first term is 27. The common difference is 12.

a_86 = a_1 + (n - 1)d

a_86 = 27 + 85(12)

a_86 = 1047

Answer:

the answer is C

Step-by-step explanation:

Answer:

The answer is

y = −5/2x − 10

Step-by-step explanation:

Hope this helps. :)

Pls mark me brainliest.

Answer:

The transformation is 5 units left and 4 units down

It is described as the rule:

or

There are 10 possible digits (0-9) that can be used for each of the nine digits in a Social Security number. Therefore, the total number of possible Social Security numbers is 10^9, which is 1 billion.

A Social Security number consists of nine digits. Since each digit can be any of the numbers 0 through 9, there are 10 possible choices for each digit. To find the total number of possible Social Security numbers, you would multiply the number of choices for each digit together: 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10, which equals 1,000,000,000 (one billion) possible Social Security numbers.

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Answer:

a = 21%

b = 260%

c = 25%

Step-by-step explanation:

I just answered that question

Answer:

The value of 0 is 0 - If you want to round its 37.1

Step-by-step explanation:

The value of 0=0

0\(\neq\)any other # besides zero

if you are wanting to round, you can round to the tenths place and say that 37.06 rounds up to 37.1

Answer:

Answered by Oreo! :)

Step-by-step explanation:

These are the place values of the number 37.0691

3 = tens place

7 = ones place

DECIMAL

0 = tenths place

6 = hundredths place

9 = thousandths place

1 = ten-thousandths place

That is the place value.

At the top u can see that the place value for zero is the tenths place!

Hope this helps! Sorry if anything goes wrong, I’m new to brainly & I can’t wait to learn!

Since u asked for the zero so 0 would equal to zero.

Answer:

The coordinates of the vertices are;

(200, 200), (300, 200), (300, 0), (0, 500)

Step-by-step explanation:

The vertices are the corners of a polygon. It is the point where an angle is formed by the intersection of two lines

The feasible region is the solution space of the points of the variables that meet the specification of the problem set by means of a constant or the definition of inequalities or equations

From the graph of the function of inequalities, we have that the four vertices are the four points where the lines bounding the area of the feasible region of the inequalities meet

The coordinates of the vertices are (200, 200), (300, 200), (300, 0), (0, 500).

Answer:

Answer D (.22)

Step-by-step explanation:

If Brainly would stop deleting my answer, your answer is D (.22).

There are 50 seventh-grade students who can she predict riding the bus to school.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The unitary method is a method by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that first-period class, 10 out of 32 students ride the bus to school. There are 160 students in seventh grade.

Therefore, we have;

160/32=5

10 x 5 =50

Thus, the answer is 50

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The value of x is 3.

Given that,

If  \(5 + 20 \times 2^{2-3x}\),

And Baseline = \(10 \times 2^{-2x}+5\)

We have to find,

The value of x?

According to the question,

To determine the value of x in the equation following all the steps given below.

Equation; \(\rm 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5\)

                   \(\rm5- 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5-5\\\\\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}\)

                    \(\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}\\\\\dfrac{ 20 \times 2^{2-3x} }{10}= \dfrac{10 \times 2^{-2x}}{10}\\\\\rm 2 \times 2^{2-3x} = 2^{-2x}\)

                   \(\rm 2 \times 2^{2-3x} = 2^{-2x}\\\\2^1 \times 2^{2-3x} = 2^{-2x}\\\\2^{2-3x+1} = 2^{-2x}\\\\\)

                    \(\rm 2-3x+1 = -2x\\\\-3x+2x = -1-2\\\\-x = -3\\\\x=3\)

Hence, The required value of x is 3.

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Step-by-step explanation:

exactly, the angles on opposite sides of the crossing point have to be equal.

for the same reason also the angles on the top and on the bottom of the crossing point are equal to each other.

just think about it - this has to be. otherwise you would have to bend the lines after the crossing point, which makes them no longer the same lines.