Please answer this ASAP
Solve for x.
5x−3=13−3x

A: x=-2
B: x= -5
C: x=2
D: x=5

Answer:

m = -6

Step-by-step explanation:

3m = 2(m - 3)​

Distribute

3m = 2m - 6

Subtract 2m from each side

3m -2m = 2m-2m -6

m = -6

Answer:

\(\boxed{\red{m = - 6}}\)

Step-by-step explanation:

\(3m = 2(m - 3) \\ 3m = 2m - 6 \\ 3m - 2m = - 6 \\ m = - 6\)

Answer:

u = -1/5

Step-by-step explanation:

name me brainliest please.

Answer:

9900

Step-by-step explanation:

i hope my ans helps u

Answer: If you meant roman numeral it is - IX CM

The value of the products are;

1. 2.5

2. 6

3. 2.5

4. 10

5.12

6. 5 1/3

7. 2/3

8. 12

We need to know that the value of the product is the number that is determined when two or more numbers are multiplied together.

From the information given, we have that;

1. 5/10 × 5

Multiply the values

25/10

2.5

2. 3/5 × 10

Multiply the values

6

3. 5/6 × 3

Multiply the values

5/2

2.5

4. 5/6 × 12

Multiply the values

10

5. 3/5 × 20

Multiply the values

12

6. 2/3 × 8

Multiply the values

16/3

5 1/3

7. 2/9 × 3

2/3

8. 4/7 × 21

12

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We assume that x is an eigenvector of A corresponding to an eigenvalue α of A. So, Ax = αx.Let's apply B to x:

Bx = (I - 2A + A²)x = Ix - 2Ax + A²x = x - 2αx + A(αx) = (1 - 2α + α²)x.

a.) We assume that x is an eigenvector of A corresponding to an eigenvalue α of A. So, Ax = αx.Let's apply B to x:

Bx = (I - 2A + A²)x = Ix - 2Ax + A²x = x - 2αx + A(αx) = (1 - 2α + α²)x.

So, we have: Bx = µx, where µ = (1 - 2α + α²). Therefore, x is an eigenvector of B belonging to an eigenvalue µ of B. The relations between α and µ are as follows: µ = (1 - 2α + α²) = (α - 1)².

b.) We need to show that if α = 1 is an eigenvalue of A, then the matrix B will be singular, or in other words, det(B) = 0.So, we have:B = I - 2A + A². Substituting α = 1, we have:

B = I - 2A + A² = I - 2I + I = 0. (since A is n x n and I is the n x n identity matrix).

Therefore, det(B) = 0 which means B is singular.

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Some examples of cardiovascular in physical fitness activities are:

Jogging, cycling, swimming, aerobics, rowing, stair climbing, hiking, cross-country skiing, and sport-related games.

Cardiovascular fitness is a positive health component of staying fit that is brought about by routine physical activity.

We have,

Cardiovascular fitness tells about our health and the potential for health outcomes.

Some examples of cardiovascular in physical fitness activities are:

- Walking

- Jogging

- Running

- Cycling

- Swimming

- Aerobics

- Rowing

- Stair climbing

- Hiking

- Cross-country skiing

- Sports

Thus,

The examples are mentioned above.

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⇒ Is 4x + 7y divisible by 2?⇔ This question simply is asking you if there is a possibility that you can take out the highest common factor of 2 in the expression 4x+7y.

⇒ We cannot take out the highest common factor of 2 in this expression since there is the term 7y that has the coefficient 7 which is NOT divisible by 2. the expression 4x+7y

cannot be written in the form a(b+c)

⇒∴ 4x + 7y is not divisible by 2

If you want me to clarify more in this question please say so as soon possible so that I can make time for you.

Answer:

Bellow

Step-by-step explanation:

Let's solve your equation step-by-step.

4+5x−7=10+3x−2x

Step 1: Simplify both sides of the equation.

4+5x−7=10+3x−2x

4+5x+−7=10+3x+−2x

(5x)+(4+−7)=(3x+−2x)+(10)(Combine Like Terms)

5x+−3=x+10

5x−3=x+10

Step 2: Subtract x from both sides.

5x−3−x=x+10−x

4x−3=10

Step 3: Add 3 to both sides.

4x−3+3=10+3

4x=13

Step 4: Divide both sides by 4.

4x/4 = 13/4

x = 13/4

Answer:

x = 13/4

The final number remaining in this sequence is the number 2.

We start with the first 300 natural numbers written in ascending order. We remove the numbers at odd places, which means we remove all the numbers at positions 1, 3, 5, and so on.

After the first removal, we are left with the numbers at even positions: 2, 4, 6, and so on.

Now, we repeat the process and remove the numbers at odd positions again. We remove numbers at positions 1, 3, 5, and so on from the remaining sequence.

After the second removal, we are left with the numbers at even positions again: 4, 8, 12, and so on.

We can observe that in each removal, the sequence reduces to half its size, and we are left with the numbers at even positions.

Continuing this process, we will eventually reach a point where we have only one number left.

Since we start with 300 numbers, after the first removal, we have 150 numbers. After the second removal, we have 75 numbers. After the third removal, we have 38 numbers. After the fourth removal, we have 19 numbers. After the fifth removal, we have 10 numbers. After the sixth removal, we have 5 numbers. After the seventh removal, we have 3 numbers. After the eighth removal, we have 2 numbers. Finally, after the ninth and last removal, we are left with a single number.

Therefore, the final number remaining in this sequence is the number 2.

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Answer:B

Step-by-step explanation: Reducing 2x-2+3x results in 5x-2 because 2x+3x is 5x

Answer:

B)

Step-by-step explanation:

The answer is option B)

2x - 2 + 3x = 5x - 2

The distributive property when rewritten would be : [-18]a + [-17]b

According to the distributive property, it is mandatory to multiply each of the two numbers by the factor before adding them together when a factor is multiplied by the sum or addition of two terms. A (B+ C) = AB + AC is one way to represent this property symbolically.

Sometimes referred to as the distributive law of multiplication and division, the distributive property has two parts.

When we solve out [-18]a + [17]b, we would get the first part of the question which is

-(18a - 17b)

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Answer:

6

Step-by-step explanation:

2 x -3 = -6

-6 + 12 = -6 + -6 + 6

-6 + 12 = 6

Answer:

The y-intercept should be -3 since it is 4x-3 so no your friend is not right

Step-by-step explanation:

Answer:

165.50

Step-by-step explanation:

yeah

Answer: 165.50

Step-by-step explanation: i had the same one and got it right

Answer:

Step-by-step explanation:

You need to give us the choices. However, I will try and give you the answer.

The highest common factor is 8

8(x^2 - 3)     This is the answer I think the question expects.

8(x - √3 )(x + √3)  this is also possible

Answer:

\(6(7-3y)+6(y+1) = - 12y + 48\)

Step-by-step explanation:

Given

\(6(7-3y)+6(y+1)\)

Required

Determine the equivalent expression

We have:

\(6(7-3y)+6(y+1)\)

Open brackets

\(6(7-3y)+6(y+1) = 6 * 7 - 6 * 3y + 6 * y + 6 * 1\)

\(6(7-3y)+6(y+1) = 42 - 18y + 6y + 6\)

Collect like terms

\(6(7-3y)+6(y+1) = - 18y + 6y + 6 + 42\)

\(6(7-3y)+6(y+1) = - 12y + 48\)

In an analysis of variance, you reject the null hypothesis when the F ratio is:
b. much larger than 1.

Here's a step-by-step explanation:
1. The null hypothesis states that there are no significant differences among the groups being compared.
2. Variance is the measure of how much the individual data points in a dataset vary from the mean.
3. The F ratio is the ratio of two variances, specifically, the variance between group means and the variance within groups.
4. When the F ratio is much larger than 1, it indicates that the variance between group means is much larger than the variance within groups.
5. This suggests that there is a significant difference among the group means, leading to the rejection of the null hypothesis.

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The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point

To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.

Taking the partial derivative with respect to x, we have:

∂f/∂x = 24x^2 + 6y = 0.

Taking the partial derivative with respect to y, we have:

∂f/∂y = 2y + 6x = 0.

Solving these two equations simultaneously, we get:

24x^2 + 6y = 0,

2y + 6x = 0.

From the second equation, we can solve for y in terms of x:

Y = -3x.

Substituting this into the first equation:

24x^2 + 6(-3x) = 0,

24x^2 – 18x = 0,

6x(4x – 3) = 0.

Therefore, we have two possibilities for x:

1. x = 0,

2. 4x – 3 = 0, which gives x = ¾.

Substituting these values back into y = -3x, we get the corresponding y-values:

1. x = 0 ⇒ y = 0,

2. x = ¾ ⇒ y = -9/4.

Hence, the critical points of the function are (0, 0) and (3/4, -9/4).

To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.

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With 95.5% confidence that the true difference between the means of the two populations falls within the interval (-19.052, -11.148)

To find the confidence interval for the difference of the means, we can use the formula:

\(Confidence Interval = (X1 - X2) ±\frac{ta}{2} , df \sqrt{\frac{(s1)^{2} }{n1} + \frac{(s2)^{2} }{n2}  }\)

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, n1 and n2 are the sample sizes, and tα/2,df is the t-score from the t-distribution table with (n1 + n2 - 2) degrees of freedom and a confidence level of 95.5%.

Plugging in the given values, we get:

\(Confidence Interval =  (57.5 - 72.6) ± t0.022,81 \sqrt{\frac{(5.8)^{2} }{43} + \frac{(11)^{2} }{40} }\)
\(Confidence Interval = -15.1 ± 2.539  (1.553)\)
Confidence Interval = -15.1 ± 3.952
Confidence Interval = (-19.052, -11.148)

Therefore, we can say with 95.5% confidence that the true difference between the means of the two populations falls within the interval (-19.052, -11.148).

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Answer:

You should expect her to be wrong 32 times.

Step-by-step explanation:

For each forecast that she makes, there are only two possible outcomes. Either she is correct, or she is not. The probability of she being correct on a forecast is independent of other forecasts. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

\(E(X) = np\)

0.8 chance of being correct.

So 1 - 0.8 = 0.2 change of being wrong, which means that \(p = 0.2\)

160 forecasts:

This means that \(n = 160\)

How many of these times would you expect she is wrong?

\(E(X) = np = 160*0.2 = 32\)

You should expect her to be wrong 32 times.

Answer:

2cis(20°)

Step-by-step explanation:

we are given that

\( \displaystyle \rm z = 10cis ({30}^{ \circ} )\)

\( \displaystyle \rm w = 5cis ({10}^{ \circ} )\)

We want to find z/w . To do so, divide 10cis(30°) by w = 5cis(10°) which yields:

\( \displaystyle \rm \frac{ z}{w} = \frac{10cis ({30}^{ \circ} )}{5cis( {10}^{ \circ} )}\)

recall that,

\( \displaystyle \rm \frac{ r_{1} cis ({ { \theta}_{1}} )}{ r_{2}cis( { \theta}_{2})} = \frac{ r_{1} }{ r_{2} } cis({ \theta}_{1} - { \theta}_{2})\)

consider,

Therefore, utilizing the formula yields:

\( \displaystyle \rm \frac{ z}{w} = \frac{10cis ({30}^{ \circ} )}{5cis( {10}^{ \circ} )} \\ \implies \rm\frac{ z}{w} = \dfrac{10}{5} cis( {30}^{ \circ} - {10}^{ \circ} ) \\ \implies \rm \dfrac{z}{w} = \boxed{ \rm2cis( {20}^{ \circ} )}\)

and we're done!

NB: cis(x) is also known as cos(x)+i×sin(x)

Answer:

a) -5/4

Step-by-step explanation:

Slope is fundamentally rise/run; The points on the line are relative to each other by decreasing/increasing the y-value of +/-5 and decreasing/increasing the x-value by +/-4

The function is decreasing so the slope has to be negative.

The only possible answer choice is -5/4 or a.

The line integral of (x+2y) dx + x² dy over the curve C is -11/3.

We can evaluate the line integral by parameterizing the curve C and integrating over the parameteric interval. Let's parameterize C as follows:

For the first line segment from (0, 0) to (2, 1), we can use the parameterization:

x = 2t

y = t

where t ranges from 0 to 1, For the second line segment from (2, 1) to (3, 0), we can use the parameterization: x = 2 + 1 y = 1 - t

where t ranges from 0 to 1.

Substituting these parameterizations into the integrand, we get:

(x+2y) dx + x² dy = (2t + 2t) dt + (4t²) dt + ((2+t)²) (-dt)

= 2(2t + t²) - (2+t)² dt

= -t² - 2t - 4 dt

Integrating this over the parameter interval [0,1] for each line segment and summing the results, we get: integral C (x+2y) dx+x² dy = ∫[0,1] (-t² - 2t - 4) dt + ∫[0,1] (-t² - 2t - 4) dt

= (-1/3)t³ - t² - 4t |[0,1] + (-1/3)t³ - t² - 4t |[0,1]

= -11/3

Therefore, the line integral of (x+2y) dx + x² dy over the curve C is -11/3.

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The equation for the plane through P0(8,1,−4) perpendicular to the following line is x + 4y + 5z - 8 = 0

The slope of the perpendicular line should be a/b, and if one line is perpendicular to this line, the product of slopes should be -1. The equation of a line perpendicular to a given line ax + by + c = 0 is bx - ay + = 0, where is a constant.

The given parameters are

x=8−t​, y=1−2t​, z=3t​,

P0(- 9, 6, - 5).

Direction vector of line is < -1, 4, 5>,

This vector is normal vector for unknown plane.

So, equation of plane: -1(x - (-9)) + 4(y - 6) + 5(z - (-5)) = 0; - x - 9 + 4y - 24 + 5z + 25 = 0;

In conclusion the equation is given as  -x + 4y + 5z - 8 = 0

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Answer:

slope is -2/5

y-intercept is 4

Answer:

See Below

Step-by-step explanation:

Ok, so slope intercept form is:

y = mx +b

Where m = slope and b = your y-intercept

lets line them up

   y = mx + b

y =-2/5 x + 4

Notice that the m and b are lined up each corresponding #.

Therefore,

m = -2/5

B = 4

Slope = -2/5

y - intercept = 4

The maximum area to enclose a rectangular pasture with one side of the pasture up against a river is equal to 500,000 square feet.

As given in the question,

Let 'x' represents the length of the rectangular pasture

And 'y' represents the width of the rectangular pasture

Condition:

One side of the pasture is up against a river

Perimeter of the rectangular pasture with one side up against river

= x + 2y

⇒ 2000 = x + 2y

⇒x= 2000 - 2y

Area of the rectangular pasture

=( 2000 - 2y )( y )

= - 2 ( y² - 1000y)

= -2( y² - 1000y + 250000 - 250000 )

= -2 (y - 500 )² + 500, 000

Maximum area is at y = 500

Maximum area is 500,000

Therefore, the maximum area of the given rectangular pasture is 500,000 square pasture.

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