Find the solution to the linear system of differential equations { 146 +24y 12x + 20y satisfying the initial conditions X(0) = 3 and Y(0) = 3. x(t)=__ y(t)=__

Answer:

TU = 22

Step-by-step explanation:

\(3x -17 =x+3+18\\3x-17=x+21\\3x=x+21+17\\3x=x+38\\3x-x=38\\2x=38\\x=\frac{38}{2}\\ x=19\\\)

TU=x+3

TU=19+3

TU=22

Answer:

Step-by-step explanation:

We can start by using the fact that TV = TU + UV. Substituting the given values, we have:

TV = TU + UV

(3x - 17) = (x + 3) + 18

Simplifying and solving for x:

3x - 17 = x + 21

2x = 38

x = 19

Now that we have the value of x, we can find TU using the given equation:

TU = x + 3

TU = 19 + 3

TU = 22

Therefore, TU = 22 units.

Answer:

3.6 miles in 90 mins

Step-by-step explanation:

REMEMBER PROPORTIONS

SO IN THIS CASE THIS IS HOW YOU WRITE IT:

\(\frac{2 miles = 50 mins}{x=90 mins}\)

So this means in 50 minutes he covered 2 miles and in 90 minutes she covered x miles.

To find x cross multiply :

2 miles * 90 = 180 and x * 50 = 50x

That means 180 = 50x

Divide both sides by 50:

\(\frac{180}{50}\)=\(\frac{50x }{50}\)

3.6 = x

180 divided by 50 is 3.6 and 50x divided by 50 is x.

THUS HE TRAVELLED 3.6 MILES IN 90 MINUTES.

HOPE IT REALLY HELPED

HAVE A GOOD NIGHT/DAY

In order to find the measure of angle CEF, we need to use the property of angles formed by a transversal cutting two parallel lines.

Therefore, we will use the alternate interior angles property to find the measure of angle CEF.

Angles CDE and CEF are alternate interior angles formed by transversal CE that cuts the parallel lines AB and FD. This means that angle CDE and angle CEF are congruent angles.

Hence, we can say that:angle CDE = angle CEF = x degrees (let's say)Angle CEF and angle EFB are linear pairs, which means that they are adjacent angles and add up to 180 degrees.

This implies that:angle CEF + angle EFB = 180°Substituting angle CEF in the above equation, we get:x + 74° = 180°Solving for x: x = 180° - 74° = 106°Therefore, angle CEF is 106°.

Angle CDE is also 106° as we saw above. Angles CDE and CDB are adjacent angles and add up to 180 degrees.

Therefore:angle CDE + angle CDB = 180°Substituting the values of angle CDE and angle CDB in the above equation, we get:106° + angle CDB = 180°Solving for angle CDB:angle CDB = 180° - 106° = 74°Therefore, angle CDB is 74°. Hence, the measures of the angles CEF, CDE, and CDB are 106°, 106°, and 74°, respectively.

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Answer: X= 3/4

Simplified: 1/3

Answer:

12 dollars

Step-by-step explanation:

Answer: A. 24 Quarts

Step-by-step explanation:  6*4=24

Answer:

Iam not sure but i think its -14.45$

Step-by-step explanation:

45.55-20-20-20

After withdraw the amount he have - $14.45 in his account.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

The balance in Jake's checking account is $45.55.

Here, he wrote three checks for $20.00 each.

Hence, Total amount to withdraw is,

⇒ $20.00 x 3

⇒ $60.00

Hence, Left money in his account = $45.55 - $60.00

                                                     = - $14.45

Thus, After withdraw the amount he have - $14.45 in his account.

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Answer:

D,xy=-12

Step-by-step explanation:

y=x²+x-2

x+y=1

or x+x²+x-2=1

x²+2x-3=0

x²+3x-x-3=0

x(x+3)-1(x+3)=0

(x+3)(x-1)=0

either x=-3

or x=1

when x=-3

x+y=1

-3+y=1

y=1+3=4

one solution is (-3,4)

xy=-3×4=-12

if x=1

1+y=1

y=0

second solution is (1,0)

xy=1×0=0

Answer:

32 − 8

Step-by-step explanation:

1. Rearrange terms

− 4 (2 − 8)

− 4 (− 8 + 2)

2. Distribute

− 4 (− 8 + 2)

32x - 8

The questions which are correct as required to be identified in the task content among the answer choices are; Choices B; 5x³ (6x⁴) = 30x⁷ and D; 5y⁴ (2y⁵) = 10y⁹.

It follows from the task content that the questions which are correct are to be identified.

On this note, it follows that each expression should be evaluated by using the laws of indices, particularly the product of same bases.

Therefore; we have;

a) 3b³ (-2b*⁴) = -6b⁷

b) 5x³ (6x⁴) = 30x⁷

c) 4c⁴ (3c²) = 12c⁶

d) 5y⁴ (2y⁵) = 10y⁹

Ultimately, questions which are correct as required to be identified in the task content among the answer choices are; Choices B; 5x³ (6x⁴) = 30x⁷ and D; 5y⁴ (2y⁵) = 10y⁹.

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Answer:

       5/6 or 4/6

Step-by-step explanation:

6-2=

4/6 -with out two

5/6 -including two

On the number line ranging from negative 1 fourth to positive 3 fourths, labeled in increments of 1 fourth, three points are labeled: A, B, and C.

Points A and B are positioned between 0 fourths and 1 fourth, while point C falls between 1 fourth and 2 fourths.

The corresponding labels for each point are as follows: Point A corresponds to the number negative 1 fourth, Point B corresponds to the number zero, and Point C corresponds to the number positive 1 fourth.

To match the points on the number line with their respective labels, we examine their positions relative to the increments of 1 fourth on the number line.

Since point A is between 0 fourths and 1 fourth, it is positioned to the left of zero. Therefore, the corresponding number for Point A is negative 1 fourth.

Point B is between 0 fourths and 1 fourth, suggesting it is positioned directly on zero. Thus, the number for Point B is zero.

Point C is positioned between 1 fourth and 2 fourths, which implies it is located to the right of zero. Hence, the corresponding number for Point C is positive 1 fourth.

Therefore, the correct matching of points A, B, and C with their respective numbers on the number line is as follows: Point A corresponds to negative 1 fourth, Point B corresponds to zero, and Point C corresponds to positive 1 fourth.

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The statement "some integers are also rational numbers, but not all integers are rational numbers" is true regarding the number sets.

To understand the relationship between integers and rational numbers, it's important to understand the definitions of each set:

Integers: Integers are whole numbers (both positive and negative) and zero, without any fractional or decimal parts.

Rational numbers: Rational numbers are numbers that can be expressed as a fraction (ratio) of two integers, where the denominator is not zero.

Based on these definitions, we can conclude that:

All integers are rational numbers because they can be expressed as a fraction with a denominator of 1. For example, 3 can be written as 3/1, -5 can be written as -5/1, and 0 can be written as 0/1.

However, not all rational numbers are integers. Rational numbers include fractions, decimals that terminate, and decimals that repeat. These numbers may have a numerator and denominator that are not equal to 1. For example, 1/2, -3/4, and 0.25 are rational numbers, but they are not integers.

The statement "some integers are also rational numbers, but not all integers are rational numbers" is true. While all integers are rational numbers, not all rational numbers are integers.

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Answer:

36 inches would be 3 feet

Step-by-step explanation:

I hope it's right have a great day :)

Answer:

13. 150 degrees

14. 55 degrees

15. 63 degrees

16. 325 degrees

Step-by-step explanation:

Answer:

f(-9) = -64

Step-by-step explanation:

Substitute -9 for x:

f(-9) = - (-9)^2 - 4(-9) - 19

= -81 + 36 - 19

= -64

Answer:

The formula for the circumference of a circle is C = 2πr, where r is the radius and π is approximately 3.14.

In this case, the radius is 1 foot, so:

C = 2πr

C = 2(3.14)(1)

C = 6.28

Therefore, the circumference of the circle is approximately 6.28 feet.

Answer:

22

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since more people = faster and less time, I would say 288 minutes.

Answer:

  (a)  $810.45

Step-by-step explanation:

You want the value of an investment of $300 earning 5% interest compounded quarterly for 20 years.

The compound interest formula tells you the value is ...

  A = P(1 +r/n)^(nt)

where P = 300, r = 0.05, n = 4, t = 20.

Using the given parameters in the given equation, you find the account value to be ...

  A = $300(1 +0.05/4)^(4·20) ≈ $810.45

__

Additional comment

The "rule of 72" tells you the account value will approximately double in a number of years equal to 72 divided by the interest rate percentage: 72/5 = 14.4 years. After 20 years, it will be worth more than that doubled amount, $600. This only leaves one reasonable answer choice.

<95141404393>

Call KE as a, KI as b

To calculate the perimeter of a kite, we use the formula : 2(a+b)

The perimeter is 42cm, hence a + b = 42/2 = 21 cm

Now, we can write the ratio between a and b as 2:1 (because KE is twice as long)

So, we can calculate KI by taking the sum and divide by the total ratio parts

21 : (2 + 1 ) = 7

Recheck : KI = 7 -> KE = 14

Perimeter = (7+14) x 2 = 42, and 14 is indeed 2 x 7.

Answer:

C

Step-by-step explanation:

When an equality has a ≤, or ≥ sign (greater than/less than or equal to), the line will be solid. When an equality has a <, or > sign(greater than/less than), the lines will be dotted. As we can see, both of the inequalities given have <, or >, meaning they must both have dotted lines. Since one of the lines in D is solid, the correct answer is C.

Answer:

c is right answer, you can download desmo to solve the graph questions easily

The mean (or estimate) of the proportion of high school seniors intending to attend the state university is 0.83, with a standard deviation of 0.070 and a standard error of 0.012.

The mean (or estimate) of the proportion of high school seniors intending to attend the state university is 0.83.

To calculate the standard deviation, we need to use the formula:

standard deviation = √[p(1-p)/n]

where p is the proportion of "yes" answers (0.83) and n is the sample size (36).

So,

standard deviation = √[(0.83)(1-0.83)/36] = 0.070

To calculate the standard error of the mean, we use the formula:

standard error = standard deviation / √n

where n is the sample size (36).

So,

standard error = 0.070 / √36 = 0.012

Therefore, the mean (or estimate) of the proportion of high school seniors intending to attend the state university is 0.83, with a standard deviation of 0.070 and a standard error of 0.012.

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Answer:

480 bagels

Step-by-step explanation:

We can use a ratio to solve

200 bagels          x bagels

------------------ = --------------

10 hours          24 hours

200 * 24 = 10x

Divide each side by 10

200 * 24/10 = 10x/10

480 =x

Answer:

480

Step-by-step explanation:

Using the binomial distribution, it is found that:

3.1 There is a 0.5033 = 50.33% probability that he makes at most one sale.

3.2 There is a 0.8322 = 83.22% probability that he makes at least one sale.

3.3. There is a 0.4404 = 44.04% probability that he makes two or three sales.

3.4. There is a 0.0011 = 0.11% probability that he makes six sales.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Item 1:

The probability that he makes at most one sale is:

\(P(X \leq 1) = P(X = 0) + P(X = 1)\)

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{8,0}.(0.2)^{0}.(0.8)^{8} = 0.1678\)

\(P(X = 1) = C_{8,1}.(0.2)^{1}.(0.8)^{7} = 0.3355\)

Then:

\(P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1678 + 0.3355 = 0.5033\)

There is a 0.5033 = 50.33% probability that he makes at most one sale.

Item 2:

The probability that he makes at least one sale is:

P(X > 1) = 1 - P(X = 0) = 1 - 0.1678 = 0.8322.

There is a 0.8322 = 83.22% probability that he makes at least one sale.

Item 3:

The probability that he makes two or three sales is given by:

\(P(2 \leq X \leq 3) = P(X = 2) + P(X = 3)\)

In which:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{8,2}.(0.2)^{2}.(0.8)^{6} = 0.2936\)

\(P(X = 3) = C_{8,1}.(0.2)^{3}.(0.8)^{5} = 0.1468\)

Then:

\(P(2 \leq X \leq 3) = P(X = 2) + P(X = 3) = 0.2936 + 0.1468 = 0.4404\)

There is a 0.4404 = 44.04% probability that he makes two or three sales.

Item 4:

The probability that he makes six sales is P(X = 6), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 6) = C_{8,6}.(0.2)^{6}.(0.8)^{2} = 0.0011\)

There is a 0.0011 = 0.11% probability that he makes six sales.

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Answer:

$111.83

Step-by-step explanation:

2 pairs would be original price (35) and 2 would be half off (17.5)

35 + 35 + 17.5 + 17.5= $105

sales tax = 6.5 %

$105 * 6.5 % = 6. 825

$105 + 6.825= 111.825

round up since you cant have 825 cents

$111.83

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\(join \: bunny \: squad\)

\(join \: bunny \: squad\)

btw,, the formula you insert is incorrect:)

Answer:

haysst pa brainliest po

salamat sa ponts

Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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