What is the value of x

Answer:

11\frac{1}{3}

or

11 1/3

Answer:

Step-by-step explanation:

The image of triangle ABC with coordinates A'(-2, -3) , B' (1, -7) and C' (-4,-5) is shown in attached graph.

What is Translation?

Vertically translation in a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated h units vertically by moving each point on the graph h units vertically.

Given that;

Coordinates of a triangle ABC are;

A (4 , 4 ) , B (7 , 0) and C (2 , 2)

The rule of translation is,

(x, y) → (x - 6, y - 7)

Now, Apply the rule of translation in coordinates of triangle ABC,

A (4 , 4 ) = (4 - 6, 4 - 7) = (-2, -3)

Hence, A' = (-2, -3)

B (7 , 0) = (7 - 6, 0 - 7) = (1, -7)

Hence, B' = (1, -7)

C (2, 2) = (2 - 6, 2 - 7) = ( -4, -5)

Hence, C' = (-4, -5)

Thus, The coordinates of image A'B'C' are;

A'(-2, -3) , B' (1, -7) and C' (-4,-5)

So, The image of triangle ABC with coordinates A'(-2, -3) , B' (1, -7) and C' (-4,-5) is shown in attached graph.

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Answer:

no

Step-by-step explanation:

Proportional must go through (0,0)

0 = 2(0) +7

0 = 7

This is not true so this is not proportional

Any non-empty subset of Rⁿ, where any linear combination of vectors in S is again a vector in S, is a subspace of Rⁿ.

Given that S is a non-empty subset of Rⁿ such that any linear combination of vectors in S is again a vector in S. Therefore, to prove that S is a subspace of Rⁿ, we have to show that S satisfies three conditions. These conditions are as follows;

The condition for being a subspace of Rⁿ

Firstly, a subspace must be closed under addition. In other words, if x and y are any two vectors in S, then their sum x + y must be in S.

Secondly, a subspace must be closed under scalar multiplication. In other words, if x is any vector in S and c is any scalar, then cx must be in S.

Finally, a subspace must contain the zero vector, denoted by 0.S is a subspace of Rⁿ

From the conditions mentioned above, we can show that S is indeed a subspace of Rⁿ, since S satisfies all the required conditions.

Therefore, we can say that any non-empty subset of Rⁿ, where any linear combination of vectors in S is again a vector in S, is a subspace of Rⁿ.

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Answer:

1.8

Step-by-step explanation:

  1st step

 To find the mean absolute deviation of the data, start by finding the mean of the data set.

  2nd step

 Find the sum of the data values, and divide the sum by the number of data values.

   3rd step

Find the absolute value of the difference between each data value and the mean: |data value – mean|.

   4th step

Find the sum of the absolute values of the differences.

   5th step

Divide the sum of the absolute values of the differences by the number of data values.

The expected number of data science majors who are not seated next to another data science major is 91/19.

(a) Students A and B are among the 20 students in the row. The probability that a student sit between A and B is the same as the probability that he/she sits to A's left. (This is the mean of the number of students sitting between A and B. So, consider A fixed at one end and B at the other end, then calculate the expected number of students between them, which is the expected mean number of students to A's left.)Since the permutation is random, the expected number of students to A's left is 9. Thus, the expected number of students between A and B is 9.Explanation:

(b) The 20 students in the row include 7 Data Science majors.T he probability that a given data science major will not be seated next to another data science major is (13/19).The expected number of such data science majors is 7(13/19) = 91/19.  

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Answer:

f(50) = 31928.24 thousands

Therefore, it means that the US population in year 1850 is 31928.24 thousands

Step-by-step explanation:

Given the function;

f(x)=165.6x^1.345

Where;

f(x) is in thousand and

x is the number of year after 1800

To determine f(50), we will substitute x = 50 into the function of f(x);

f(50)=165.6(50)^1.345

f(50) = 31928.24 thousands

Since f(50) is the US population in year 1800+50 = 1850

Therefore, the US population in year 1850 is 31928.24 thousands

Answer: 8200 miles

Step-by-step explanation:

Based on the question, since she wants to go for five round trips, her first round trip is fixed at 3400 and she will have 4 more additional trips. This can them be calculated as:

= 3400 + 1200x

x = additional trips = 4

We then put the value of x into the equation

= 3400 + 1200x

= 3400 + 1200(4)

= 3400 + 4800

= 8200

She'll have 8200 mile after 5 round trips

Answer:

its 4√2i i think

Step-by-step explanation:

Answer:

Answer:B

Step-by-step explanation:

Answer:

75 CALAORIES IN 1 SERVING

Step-by-step explanation:

Answer:

X>2

Step-by-step explanation:

Subtract

1

1 from both sides. Simplify

5

−

1

5−1 to

4

4. Divide both sides by

2

2. Simplify

4

2

2

4

​

to

2

You can use cymath

Answer:

x > 2

Interval notation: \(\left(2,\:\infty \:\right)\)

Step-by-step explanation:

Starting inequality: \(2x+1>5\)

Subtract 1 from both sides: \(2x>4\)

Divide by 2 on both sides: \(x>2\)

Answer:

$47.41

Step-by-step explanation:

7.75% as a decimal would be 0.0775.

multiply:

0.0775(44)=3.41

add that $44.

$44+$3.41=$47.41

The MMPI-2 test is used for the assessment of psychopathology and personality of patients.

It includes 567 true-false questions, resulting in 10 clinical scales, among which one is the anxiety subscale.

A score of 30 or less is usually considered very low.

The questions are answered by the patient, usually in a clinical or research setting.

A one-sample t-test is conducted in the problem, whereby a sample of 18 participants in a yoga group is tested for anxiety scores.

The following are the parameters of the one-sample t-test:Groups:

18 participants

Null hypothesis: The anxiety scores of Felipe's yoga group are statistically equal to 30." value: 30

Type of test: One-tailed test

Alternative hypothesis: The anxiety scores of Felipe's yoga group are greater than 30.

Degrees of freedom: n - 1 = 17T-observed value: (35.2 - 30) / (10.4 / sqrt(18)) = 2.41T-critical value: 1.734

Reject or retain null hypothesis: Since the t-observed value (2.41) is greater than the t-critical value (1.734), Felipe should reject the null hypothesis, which implies that his yoga group's scores are greater than 30.P-value: 0.014Cohen’s d value: (35.2 - 30) / 10.4 = 0.5

If the " value were reduced to 0.01, Felipe would still reject the null hypothesis, since the p-value (0.014) is lower than the alpha level (0.01).

For the sample mean: 35.2CI for 42%: 35.2 ± 0.58CI for 79%: 35.2 ± 1.16CI for 95%: 35.2 ± 2.13

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The statement "If a system of n linear equations in n unknowns has infinitely many solutions, then the rank of the matrix of coefficients is n − 1" is False.

In a system of linear equations, the rank of the matrix of coefficients can be determined by performing row operations to bring the matrix to row-echelon form or reduced row-echelon form. The number of non-zero rows in the row-echelon form or reduced row-echelon form corresponds to the rank of the matrix.

If a system has infinitely many solutions, it means that there are fewer equations than unknowns or there is a linear dependency among the equations. In such cases, the rank of the matrix of coefficients will be less than n, contradicting the statement that the rank is n − 1.

Therefore, the statement "If a system of n linear equations in n unknowns has infinitely many solutions, then the rank of the matrix of coefficients is n − 1" is False.

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The  particular solution of the differential equation that satisfies the initial condition  \(\frac{du}{dv} = uvsin v^{2} u(0)= e^{4}\)  is  \(u(v)=sin v^{2} + e^{4}-\frac{1}{2}\)

To find the particular solution of the differential equation that satisfies the initial condition                                                              

 \(\frac{du}{dv} = uv sin v^{2} u(0) = e^{4}\)

we must follow the steps below: Initial Equation \(\frac{du}{dv} = uv sin\)

v²Separating variables gives us: \(u du = v sinv^{2} dv\)

a) Integrating both sides, we have:

\(\int\limits {u} \, du = \int\limits {v sin v^{2} } \, dv(\frac{u^{2} }{2} )\)

\(= \frac{-1}{2} cos v^{2} +C1 u^{2}\)

\(= -cosv^{2} + C2\)

b) Differentiate both sides to get:

\(2u \frac{du}{dv} = 2v^{2} cosv^{2}\)

c) We replace du/dv in the equation above with the equation given in the initial condition to obtain:                                                      

  = \(2u (uv) sinv^{2}\)

= \(2v^{2} cosv²u\)

= \(2v cosv^{2} dv + C3\)

d) Integrating both sides gives:

\(\int\limits {u} \, dv = \int\limits {2v cos v^{2} } \, dv + \frac{C3}{2v} (v)\)

\(= sinv^{2} + C4 + \frac{C3}{2}\)

e) We substitute the initial condition to obtain the value of

\(C4.e^{2}= sin 0^{2}+ C4+ \frac{C3}{2C4}\)

\(= e^{4} - \frac{1}{2}\)

The particular solution is obtained by replacing the value of C4 and is as follows: \(u(v) = sin v^{2} + e^{2} - \frac{1}{2}\)

Answer: \(u(v) = sin v^{2} + e^{2} - \frac{1}{2}\)

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The satellite is approximately 9,200 miles from the Earth's surface.

To find the approximate distance the satellite is from the Earth's surface, we can subtract the Earth's radius from the distance between the satellite and the horizon. The distance from the satellite to the horizon is the sum of the Earth's radius and the distance from the satellite to the Earth's surface.

Given that the satellite is 13,200 miles from the horizon and the Earth's radius is about 4,000 miles, we subtract the Earth's radius from the distance to the horizon:

13,200 miles - 4,000 miles = 9,200 miles.

Therefore, the approximate distance of the satellite from the Earth's surface is around 9,200 miles.

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Answer:

99<x<315

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

edg. 2021

The value of the friction force on the sofa will be 288 N.

The force which opposes the motion of the body is known as friction force.

Ralph wants to move a 60.0 kg sofa.

He applies a force of 480 N.

Under these conditions, the sofa initially moves with an acceleration of 3.20 m/s².

Then the value of the friction force on the sofa will be

We know

ΣF = ma

We have

m = 60 kg

a = 3.2 m/s²

Then the value of friction force will be

480 – f = 60 × 3.2

480 – f = 192

          f = 480 – 192

          f = 288 N

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Answer:

288

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of rectangle:

Area of square:

Answer:

The length of the square is 12 inches.

Step-by-step explanation:

Area of square = Area of rectangle

Area of rectangle = Length × Breadth

⇒ 18 × 8

⇒ 144 in²

★ Area of square = Side × Side

⇒ 144 = Side²

⇒ Side = √144

⇒ Side = 12 inches

Therefore, the length of the square is 12 inches.

By linear search, We discovered that element 9 is the seventh in the sequence, meaning that number 9 appears on the list in the sequence 1, 3, 4, 5, 6, 8, 9, 11.

A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.

Given,

Sequence = 1, 3, 4, 5, 6, 8, 9, 11

By linear search,

The first element is compared to 9 first. If the element's value is less than nine, we compare the subsequent element with nine, and so on.

Step 1: 9 is not the same as 1.

Step 2: 9 is not the same as 3.

Step 3: 9 is not the same as 4

Step 4: 9 is not the same as 5

Step 5: 9 is not the same as 6

Step 6: 8 and 9 are not the same.

Step 7: 9 equals 9.

We discovered that element 9 is the seventh in the sequence, meaning that number 9 appears on the list.

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Step-by-step explanation:

Break even occurs when the two equations are equal

400 + 220 x   = 20x^2 + 160

20x^2 -220 x   - 240 = 0      Use quadratic fromula ( or graphing or factoring) to find  x  = 12 hours

Substitute \(x=e^t\). By the chain rule,

\(\dfrac{dy}{dx} = \dfrac{dy}{dt}\cdot\dfrac{dt}{dx}\)

Now \(t=\ln(x)\implies\frac{dt}{dx}=\frac1x\), so

\(\dfrac{dy}{dx} = \dfrac1x \dfrac{dy}{dt} \\\\ ~~~~~~~~ \iff \dfrac{dy}{dt} = x\dfrac{dy}{dx}\)

Differentiate both sides again to recover the second and third derivatives.

\(\dfrac{d^2y}{dx^2} = -\dfrac1{x^2}\dfrac{dy}{dt} + \dfrac1x \dfrac{d\frac{dy}{dt}}{dx} \\\\ ~~~~~~~~ = -\dfrac1{x^2}\dfrac{dy}{dt} + \dfrac1x \left(\dfrac{d\frac{dy}{dt}}{dt}\cdot\dfrac{dt}{dx}\right) \\\\ ~~~~~~~~ = -\dfrac1{x^2} \dfrac{dy}{dt} + \dfrac1{x^2}\dfrac{d^2y}{dt^2} \\\\ ~~~~~~~~ \iff \dfrac{d^2y}{dt^2} - \dfrac{dy}{dt} = x^2 \dfrac{d^2y}{dx^2}\)

\(\dfrac{d^3y}{dx^3} = \dfrac2{x^3}\dfrac{dy}{dt} - \dfrac1{x^2}\dfrac{d\frac{dy}{dt}}{dx} - \dfrac2{x^3} \dfrac{d^2y}{dt^2} + \dfrac1{x^2}\dfrac{d\frac{d^2y}{dt^2}}{dx} \\\\ ~~~~~~~~ = \dfrac2{x^3} \dfrac{dy}{dt} - \dfrac1{x^2}\left(\dfrac{d\frac{dy}{dt}}{dt}\cdot\dfrac{dt}{dx}\right) - \dfrac2{x^3} \dfrac{d^2y}{dt^2} + \dfrac1{x^2}\left(\dfrac{d\frac{d^2y}{dt^2}}{dt}\cdot\dfrac{dt}{dx}\right) \\\\ ~~~~~~~~ = \dfrac2{x^3} \dfrac{dy}{dt} - \dfrac1{x^3} \dfrac{d^2y}{dt^2} - \dfrac2{x^3} \dfrac{d^2y}{dt^2} + \dfrac1{x^3}\dfrac{d^3y}{dt^3} \\\\ ~~~~~~~~ \iff \dfrac{d^3y}{dt^2} - 3 \dfrac{d^2y}{dt^2} + 2 \dfrac{dy}{dt} = x^3 \dfrac{d^3y}{dx^3}\)

The ODE then transforms to a linear one,

\(3\left(\dfrac{d^3y}{dt^2} - 3 \dfrac{d^2y}{dt^2} + 2 \dfrac{dy}{dt}\right) + 28\left(\dfrac{d^2y}{dt^2} - \dfrac{dy}{dt}\right) + 55\dfrac{dy}{dt} + 9 y = 0\)

or using Lagrange's prime notation,

\(3(y''' - 3y'' + 2y') + 28(y'' - y') + 55y' + 9y = 0\)

\(3y''' + 19y'' + 33y' + 9y = 0\)

The characteristic equation is

\(3r^3 + 19r^2 + 33r + 9r = (r + 3)^2 \left(r + \dfrac13\right) = 0\)

with roots at \(r=-3\) and \(r=-\frac13\), so the general solution is

\(y(t) = C_1 e^{-1/3\,t} + C_2 e^{-3t} + C_3 t e^{-3t}\)

Back in terms of \(x\), we get

\(\boxed{y(x) = C_1 x^{-1/3} + C_2 x^{-3} + C_3 x^{-3}\ln(x)}\)

Answer

The answer is 12 for sure

Step-by-step explanation:

i just solved it like any other equation

1 i added 3/4 on both sides

2 then i added 5 on both sides

3 after you equation should look like 1 1/4x = 15

4 then i divided and it should be x = 12

pls mark brainliest

The value of x is "12".

\(\to \frac{1}{2}x-5=10-\frac{3}{4}x \\\\\to \frac{1}{2}x+ \frac{3}{4}x=10+5 \\\\\to \frac{2+3}{4}x=15 \\\\\to \frac{5}{4}x=15 \\\\\to x=15 \times \frac{4}{5}\\\\\to x=3 \times 4\\\\\to x=12\)

Therefore, the final value of x is "12".

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The rectangular coordinates are approximately (5.80, 3.91) when rounded to two decimal places.

To convert from polar to rectangular coordinates, we use the following formulas:

x = r * cos(θ)

y = r * sin(θ)

Given the polar coordinates (7, 34), where r = 7 and θ = 34 degrees, we can substitute these values into the formulas to find the rectangular coordinates:

x = 7 * cos(34°)

y = 7 * sin(34°)

Using a calculator, we can evaluate rectangular coordinates these expressions:

x ≈ 7 * 0.829 = 5.80

y ≈ 7 * 0.559 = 3.91

Therefore, the rectangular coordinates are approximately (5.80, 3.91) when rounded to two decimal places.

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Answer:

C

Step-by-step explanation:

  x = 7 cos (2pi/3)            y =  7 sin (2pi/3)

  x = -7/2                          y = 7 sqrt(3) /2

Answer:

1 3/5

Step-by-step explanation:

8/5 has 1 whole; 5/5. If you subtract 5 from 8 you would get 3.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

1. 9x² + 3x - 4 = 0

Step 02:

Discriminant:

D = b² - 4ac

9x² + 3x - 4 = 0

a = 9

b = 3

c = - 4

D = (3)² - 4(9)(-4) = 9 + 144 = 153

The answer is:

D = 153

Answer:

Reduce by cancelling common factors.

The simplified expression of this problem is -2/3

\(-\frac{2}{3}(-0.6)\)

Answer:

-2/3

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The opposite of -5 is 5. You find this opposite by switching the negative sign to a positive sign.

Answer:

5

Step-by-step explanation:

Just take away the sign or add the sign from the number to get a integer. There you go it's just that easy️‍ enjoy good day