y''+y'+y =7x y(0)=0 y'(0)=2 by laplace transformer
Can i solve this equation by laplace????? ​

Answer:

14.72

Step-by-step explanation:

Answer:

14.7

Step-by-step explanation:

we can use the law of sines to find x.

sin46°/x=sin20°/7

x sin20° = 7(sin46°)

x=7(sin46°)/sin20°

x≈14.72246211

rounded to the nearest tenth:

x≈14.7

The p-value of 4.91541E-15 (or 4.91541 x 10^-15) is considerably beneath the conventional significance level of 0.05 employed in statistical hypothesis testing.

In hypothesis testing, the p-value symbolizes the probability of detecting the test statistic (or an even larger value) under the null hypothesis. A p-value of 0.05 or below often appears statistically relevant, suggesting powerful evidence contrary to the null hypothesis.

Therefore, a p-value of 4.91541E-15 being far less than 0.05 implies very compelling evidence against the null hypothesis.

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The range of the distance from A to C is greater than 3.3 feet and less than 29.1 feet.

The given parameters are

AB = 16.2 feet

BC = 12.9 feet

To determine the range of the third length, we use the triangle inequality theorem

Using this theorem, we have the following inequalities

AB + BC > AC

AB + AC > BC

BC + AC > AB

So, we have

16.2 + 12.9 > AC

16.2 + AC > 12.9

12.9 + AC > 16.2

Solve for AC in the above inequalities

29.1 > AC

AC > -3.3

AC > 3.3

Remove the negative value

29.1 > AC

AC > 3.3

Rewrite as

AC > 29.1

AC > 3.3

This means that the values of AC are between 3.3 and 29.1 feet

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Answer:

17

Step-by-step explanation:

Using the base angles theorem, \(x+4=4x+1 \implies x=1\).

So, the perimeter is \(4(1)+1+1+4+7=17\).

Answer:

\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)

Answer:

28mpg

Step-by-step explanation:

eric uses 7 gallons

drive=196 miles

196miles ÷ 7 gallons = 28mpg

eric can drive 28 miles using 1 gallon of gas

The image of triangle DEF after the dilation with a scale factor of -1/2  is given at the end of the answer.

Transformations in the graph of a function involve operations in the vertices of the image, such as addition, subtraction, division or multiplication.

The transformation used in this problem is a dilation, in which the coordinates of the vertices of the original figure are multiplied by the scale factor.

For this problem, the vertices of the triangle are given as follows:

D(3,6), E(3,2) and F(5,4).

The dilation has a scale factor of -0.5 = -1/2, hence the coordinates of the image are given as follows:

The dilated triangle is given by the graph at the end of this answer.

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______________________________________

The probability of answering a single problem correctly by randomly guessing is 1/4, since there are 4 answer choices and only one correct answer. Since the student randomly guessed the answer to both problems, the probability of answering both problems correctly is:

(1/4) x (1/4) = 1/16

Therefore, the probability that the student answered both problems correctly is 1/16.

Answer:

Can you add more context?

Step-by-step explanation:

Answer:

  77 cm²

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = 1/2bh

where b is the base length, and h is the altitude perpendicular to the base.

__

Here, you are shown b=22 cm and h=7 cm. The area is ...

A = 1/2(22 cm)(7 cm) = 77 cm²

Answer: C

Step-by-step explanation:

By the difference of squares, \(x^{4}-9=(x^{2}+3)(x^{2}-3)\)

The pairs of complementary angles are:

1) 36° and 54°

4) 23° and 67°

5) 5° and 85°

Two angles A and B are complementary if the sum of the measures is equal to 90°.

For the given options, the 3 correct ones are:

1) 36° and 54°

The sum gives:

36° + 54° = 90°

So these are complementary.

4) 23° + 67° = 90°

These are also complementary.

5) 5° + 85° = 90°

These are also complementary.

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The proof that Line GH ≅ Line EH is given as follows:

Given that
∠A ≅ ∠B;

⇒ AC ≅ BC (sides opposite to equal angles)

⇒ AD + DC ≅ BF + FC (sum of congruent line segments)

⇒ Since Line AG ≅ Line EB; (Given) and

DC ≅ FC; (Given)

thus,  Line GH ≅ Line EH.

A mathematical proof is inferential reasoning for a mathematical assertion that demonstrates that the provided assumptions logically ensure the conclusion.

Other previously established claims, such as theorems, may be included in the argument; nonetheless, any proof may, in theory, be formed using just some fundamental or original hypotheses known as axioms, along with the recognized rules of inference.

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Answer:

The circle's circumference is approximately 106.81 centimeters.

Explanation:

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

So, for a circle with a radius of 17 centimeters, its circumference can be found by:

C = 2πr

C = 2 x 3.14 x 17

C ≈ 106.81 cm

Therefore, the circumference of the circle is approximately 106.81 centimeters.

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Step-by-step explanation:

Set up an equation with variables representing both juices.

Let's say "m" is mango juice, and "p" is peach juice.

5m + 3p = 40

I'm not sure what your question is asking, but if you were to graph the value (or plug in one value and solve for the other), you can figure out what combination will always be able to make 40 cups of fruit punch.

Answer:

The value of the test statistic is t=1.12.

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the mean amount of time required to reach a customer service representative significantly differs between the two hotels.

Then, the null and alternative hypothesis are:

\(H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0\)

The sample 1, of size n1=20 has a mean of 2.65 and a standard deviation of √2.952=1.72.

The sample 2, of size n2=20 has a mean of 2.01 and a standard deviation of √2.952=1.89.

The difference between sample means is Md=0.64.

\(M_d=M_1-M_2=2.65-2.01=0.64\)

The estimated standard error of the difference between means is computed using the formula:

\(s_{M_d}=\sqrt{\dfrac{\sigma_1^2+\sigma_2^2}{n}}=\sqrt{\dfrac{1.72^2+1.89^2}{20}}\\\\\\s_{M_d}=\sqrt{\dfrac{6.531}{20}}=\sqrt{0.327}=0.571\)

Then, we can calculate the t-statistic as:

\(t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.64-0}{0.571}=\dfrac{0.64}{0.571}=1.12\)

The test statistics (t-statistic) value will be:

"1.12".

According to the question,

The null and alternative hypothesis will be:

\(H_0\) : μ₁ - μ₂ = 0

\(H_a\) : μ₁ - μ₂ \(\neq\) 0

Mean = 2.65 and 1.01

Observations = n₁ = n₂ = 20

Now,

The difference between sample mean.

→ \(M_d\) = M₁ - M₂

        = 2.65 - 2.01

        = 0.64

The estimated standard error will be:

→ \(s_M_d\) = \(\sqrt{\frac{\sigma_1^2 + \sigma_2^2}{n} }\)

By substituting the values,

         = \(\sqrt{\frac{(1.72)^2 + (1.89)^2}{20} }\)

         = \(\sqrt{\frac{6.531}{20} }\)

         = \(\sqrt{0.327}\)

         = 0.571

hence,

The test statistic (t) be:

= \(\frac{M_d(\mu_1 -\mu_2)}{s_M_d}\)

= \(\frac{0.64-0}{0.571}\)

= \(\frac{0.64-0}{0.571}\)

= 1.12

Thus the above approach is right.

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To find the zeros of the quadratic equation y=5(2x−1)(x+3), we need to set y equal to zero and solve for x. Thus,

5(2x - 1)(x + 3) = 0

This equation is zero when any of the factors is zero. Therefore, the zeros are:

2x - 1 = 0, which gives x = 1/2

x + 3 = 0, which gives x = -3

Therefore, the correct answers are:

x is equal to 1 third (incorrect)

x is equal to 2 (incorrect)

x is equal to 3 (incorrect)

x is equal to 5 (incorrect)

x is equal to negative 3 (correct)

x is equal to negative 1 half (incorrect)

x=12 (incorrect)

So, the correct answers are x = -3 and x = 1/2.

Answer:

Angle sum Theorem says that the sum of the measures of the interior angles of a triangle is 180 degrees. ... This creates alternate interior angles that are congruent. Sum of two interior angles equals the opposite exterior angle...33 + 87 = yy = 120°

Step-by-step explanation:

Answer:

21/10

Step-by-step explanation:

Answer:

It is 1/2

Step-by-step explanation:

Please mark me brainiest and like and rate 5 stars ;)

Answer:

Perimeter of figure = 36.3

Step-by-step explanation:

We'll begin by calculating the perimeter of the rectangle. This can be obtained as follow:

Length (L) = 9

Width (W = 4

Perimeter of rectangle (Pᵣ) =?

Pᵣ = 2(L + W)

Pᵣ = 2(9 + 4)

Pᵣ = 2(13)

Pᵣ = 26

Next, we shall determine the perimeter of semi circle. This can be obtained as follow:

Diameter (d) = 4

Pi (π) = 3.14

Perimeter of semi circle (Pₛ) =?

Pₛ = ½(πd) + d

Pₛ = ½(3.14 × 4) + 4

Pₛ = ½(12.56) + 4

Pₛ = 6.28 + 4

Pₛ = 10.28

Finally, we shall determine the perimeter of the figure. This can be obtained as follow:

Perimeter of rectangle (Pᵣ) = 26

Perimeter of semi circle (Pₛ) = 10.28

Perimeter of figure =?

Perimeter of figure = Pᵣ + Pₛ

Perimeter of figure = 26 + 10.28

Perimeter of figure = 36.28 ≈ 36.3

Answer:

7 + p

Step-by-step explanation:

Solve:

7 - 3p + 4p

Simplify using like terms

Wrote problem using addition

7 + ( -3p + 4p)

7 + 1p or 7 + p

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer and Step-by-step explanation:

The simplified expression is:

7 + p

because we subtract 3p from 4p.

#teamtrees #PAW (Plant And Water)

Answer:

false...

to be quadratic you need an "x^2" in the

function

(0,1)  might be 0^2 + 1

but then 1^2 + 1 = 2 than would be (1,2)  NOT (1,3)

Step-by-step explanation:

The most likely reason that Sora lists the activities of customers going through self-checkout is to prove the claim that self-checkout is eliminating jobs.

By observing and documenting the activities of customers using self-checkout, Sora may be gathering evidence to support the argument that self-checkout systems are replacing the need for human cashiers and leading to job loss in the retail industry.

By highlighting the tasks that customers can now perform independently, Sora may be emphasizing the efficiency and convenience of self-checkout systems, which can potentially lead to the reduction of cashier positions.

It's important to note that without more context, we cannot definitively determine Sora's exact intentions or motivations. However, based on the given options and the mention of activities related to self-checkout, the claim that self-checkout is eliminating jobs appears to be the most plausible reason for listing the activities of customers going through self-checkout.

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Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

To calculate the perimeter and area of the square, we can use the formulas:

Perimeter = 4 * side length

Area = side length * side length

Substituting the given side length of 4√5mm into the formulas, we have:

Perimeter = 4 * 4√5mm = 16√5mm

Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²

Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².

Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

I took the test on plato.

Answer:

Sure, just post them

Step-by-step explanation: