Suppose a is nn and the equation ax0 has only the trivial solution. Explain why a has n pivot columns and a is row equivalent to

Answer:

x > -6

Step-by-step explanation:

Answer:

15 = 9 + j

Step-by-step explanation:

"15 is 9 more than j"

"15 is"  may be written as "15 ="

"9 more than j" may be written as "9+j"

Put these two expression together:

15 = 9 + j

Answer:

Yes they r similar

Step-by-step explanation:

They r similar in size but different numbers and they r the same kind of shape

Answer:

3.9

Step-by-step explanation:

Answer: ITS -4 TRUST MEE

Step-by-step explanation:

The required equation of a line is y = 9/5 (4x - 12)

Given-

The point from which the line passes through is (3,2)

The slope of the given line m is -4/5.

Equation of the line

The linear equation of a line can be represented by a set of points on a graph using the equation of the line.

The standard form of the line passing through the point x₁, y₁

The slope m is given by,

m = (y - y₁) / (x - x₁)

Put the values of points and slope in the above equation, we get,

-4/5 = (y - 2) / (x - 3)

-4/5(x - 3) = y -2

-4x/5 + 12/5 = y - 2

-1/5 (4x - 12) + 2 = y

y = 9/5 (4x - 12)

The linear equation of a line can be represented by a set of points on a graph using the equation of the line. The following equation depicts a line that crosses (3, 2) and has a slope of -4/5: y = 9/5 (4x - 12)

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Answer:

28 grams

Step-by-step explanation:

In  cup of oats, amount of fiber is = 4 grams

In 1 cup of oats amount of fiber is =  = 8 grams

So, in  or  cups of oats, amount of fiber is = 28 grams

Answer:

28 grams of fiber

Step-by-step explanation:

 4/0.5 = x/3.5

3.5/0.5 = 7

4 · 7 = 28

parallelogram

Step-by-step explanation:

it has 4 sides but is not a rectangle

Answer:

15, 80

Step-by-step explanation:

Angle of triangle=180 degrees

180-85=95

3x+16x=95

19x=95

x=95/19

x=5

3x=15

16x=80

Answer:

1.35 to nearest whloe ounce

∡ABD and ∡BAD = ∡55°

As we can see Δ ABD is isosceles

so,

∡ABD = ∡BAD (let us assume them to be ∡F)

Therefore

∡ABD+∡BAD+∡ADB = 180°

2∡F+∡ADB = 180°

2∡F + 70° = 180°

∡F = 55°

∡ABD = ∡BAD = 55°

Now

∡ABD + ∡CBD = 180° (Supplementary Angles)

55° + ∡CBD = 180°

∡CBD = 125°

As the sum of all the angles in a triangle is 180°

∡BDC +∡DCB +∡CBD = 180°

∡BDC + 29° +125° = 180°

Hence

∡BDC = 26°

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christy is 13 and jamie is 10

The solution of the trigonometric equation is θ = π/6 radian

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles

2cosθ = √3

Divide both sides by 2:

cosθ = (√3)/2

θ = cos⁻¹[(√3)/2]

θ = 30°

Convert 30° to radian by multiplying it with π/180. That is:

θ = 30 × π/180

θ = π/6 radian

Thus, the solution is θ = π/6 radian

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The probability that all four coins come up heads is 1/16 or approximately 0.0625.

The probability of flipping a head on a single coin is 1/2. Since each coin is flipped independently, the probability of all four coins coming up heads can be calculated by multiplying the probability of getting heads on each coin.

That is,

P(all heads) = P(heads on penny) × P(heads on nickel) × P(heads on dime) × P(heads on quarter)

Each of these probabilities is 1/2 since each coin has two possible outcomes – heads or tails – and they are equally likely to occur.

Thus,

P(all heads) = (1/2) × (1/2) × (1/2) × (1/2) = 1/16

This means that if we were to flip these four coins many times, on average we would expect to see all four coins come up heads about once in every 16 flips. It is important to note that the probability of all four coins coming up heads is independent of any previous flips – the coins do not "remember" whether they landed heads or tails on previous flips.

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Answer:

15

Step-by-step explanation:

Lets take the number of songs he download = x

So $1.29x = $20

So "x" = 20/4.29 = 15.5

So songs he can purchase = 15 songs

Answer:

I think the modes are: 20 ,18 and 19

The equation of parabola is x² = 12y and the endpoints of the latus rectum are (-6, 3) and (6, 3).

Hence the correct option is (C).

We know that for parabola, any point on parabola is equidistance from the directrix and the focus.

Given that the focus of the required parabola is = (0, 3)

The directrix is y = -3.

Let the locus of the point on parabola be (h, k).

The distance between (h, k) and (0, 3) = √((h - 0)² + (k - 3)²) = √(h² + (k - 3)²)

The distance of the point (h, k) from y = -3 is = k + 3.

According to properties,

k + 3 = √(h² + (k - 3)²)

(k + 3)² = h² + (k - 3)²

k² + 6k + 9 = h² + k² - 6k + 9

h² = 12k

Since (h, k) is an arbitrary point.

So the equation of the parabola is, x² = 12y

We know that the endpoints of the latus rectum of parabola x² = 4ay are given by (2a, a) and (-2a, a).

Here a = 3.

So the endpoints of the latus rectum are (6, 3) and (-6, 3).

Hence the correct option is (C).

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Therefore, the preceding equation, which states that Brittany will be twice as old as Steve in 9 years, is proven when Brittany is 54 years old and Steve is 18 years old.

Equations are mathematical statements with the equals (=) sign on each side and two algebraic expressions in the center.

Coefficients, variables, operators, constants, terms, and the equal to sign are just a few of the components that make up an equation. The "=" symbol and terms on both sides are always needed when writing an equation.

calculation

Let s = brittany 's age now

Let t = steve's age now

s = 3t

s + 9 = 2 (t+9)

s + 9 = 2t + 27

s = 2t + 27 - 9

s = 2t + 18

Substitute 3t for s and find t

3t = 2t + 18

3t - 2t = 18

t = 18 yrs is steve's age

then

s = 3(18)

s = 54 yrs is brittany's age

Therefore, the preceding equation, which states that Brittany will be twice as old as Steve in 9 years, is proven when Brittany is 54 years old and Steve is 18 years old.

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Answer:

Step-by-step explanation:

Givens

You have the hypotenuse: 13

You seek the adjacent side: x

You have the angle enclosing the 2: 47 degrees.

The relationship is the Cosine

Solution

Cos(47) = opposite / hypotenuse

Cos(47) = 0.6820                            From your calculator

Cos(47) = x / 13                                Multiply both sides by 13

13*cos(47) = x

x=8.866

Answer:

Years living in the U.S.

How many adults are registered to vote in the upcoming election?

Number of adults over 18

Number of minors in the household

Number of family members residing at the address

Zip code

Step-by-step explanation:

Given the following :

Select the variables which are quantitative :

Quantitative variables may be explained as those variables which are represented numerically or possess numerical attributes. The are usually expressed in numbers. Quantitative variables in the options below are those which will take Numeric inputs.

Years living in the U.S. = quantitative

How many adults are registered to vote in the upcoming election? = quantitative

Number of adults over 18. = quantitative

Number of minors in the household = quantitative

Family role of respondent = not quantitative

Number of family members residing at the address = quantitative

Ethnicity = Not quantitative

Zip code = quantitative

Answer:

Step-by-step explanation:

1. The slope is 5 passing through (-1, 4).

 y=mx+b

y=5x+b [slope is 5]

4 = 5(-1) + b  [Find b by solving for b with the given point]

b = 9

y=5x+9

2. The line passes through point (3, -4) and (-2, 2)  

Calculate slope from the "rise" over the "run."

Rise = (-4 - 2) = -6

Run = (3-(-2)) =  5

Slope - Rise/Run = -6/5 or -1.2

y = -1.2x + b

Use either given point to find b.

y = -1.2x + b  for (3,-4)

-4 = -1.2(3) + b

-4 = -3.6 + b

b = -0.4

y = -1.2x - 0.4

3. The slope is 3/4 and the y-intercept is (0,4)

y = mx + b

y = (3/4)x + b

The y-intercept is 4: b = 4

y = (3/4)x + 4

4. The x intercept -3 and the y-intercept is 6

The x-intercept can be written as (-3,0) and the y-intercept as (0,6).

Calculate the slope between these two points (Rise/Run).  Rise= (6-0), or 6,  Run= (0-(-3)), or 3.  Rise/Run (Slope) = 6/3 or 2

y = 2x + b   b = 6 (y-intercept is (0,6)

y = 2x + 6

5. Passing through the points (-1, -2) and (5, 3)​

y = mx + b

Slope:  Rise = (3-(-2)) = 5, Run = (5-(-1))= 6  Slope = Rise/Run Slope = (5/6)

y = (5/6)x + b

Calculate b:  

y = (5/6)x + b for (-1,-2)

b = y-(5/6)x

b =-2-(5/6)*(-1)

b = -2 + (5/6)

b = (-12/6) + (5/6) = -(7/6)

y = (5/6)x - (7/6)

====

For each problem, rearrange the solution to the standard form ax + by = c

1.  y=5x+9

-5x + y = 9

2.  y = -1.2x - 0.4

1.2x + y = -0.4

3.  y = (3/4)x + 4

-(3/4)x + y = 5

4.  y = 2x + 6

-2x + y = 6

5.  y = (5/6)x - (7/6)

-(5/6)x + y = -(7/6)

Answer:

let X be the value of the total students

\( \frac{65}{100} \times x = 650 \\ \\ \frac{65x}{100 } = 650 \\ if \: w \:e \: crossmultipl \\ 65x = 65000 \\ x = 65000 \div 65 \\ x = 1000\)

Answer:

hope this is correct

Answer:

108

Step-by-step explanation:

Answer:

A= 347.65 B= 43.5

Step-by-step explanation:

A : 347.65

B : 43.5

244.5

+ 1 0 1. 1 5

= 347.65

68.2

- 24.7

= 43.5

The length of the room will be  96 ft after increasing each side by 1 foot.

Let L be the length of the room and W be the width of the room.

Given , L = 2W.

Area ,  A = LW

= 2W × W

= 2W²

On increasing each side  by 1 foot,  new area is A' = (L + 1)(W + 1)

= (2W + 1)(W + 1)

= 2W² + 3W + 1

Since,  the room would contain 145 ft more if each side were increased by 1 foot, then its new area is A' = A + 145 = 2W² + 3W + 1

2W² + 145 = 2W² + 3W + 1

145 = 3W + 1

3W = 145 - 1

3W = 144

W = 144/3

W = 48 ft.

Since its length L = 2W, substituting W = 48 into the equation, we have

L = 2(48)

L = 96 ft

Therefore the length of the room will be  96 ft.

The area of a rectangle in a two-dimensional plane is the area that it occupies. A quadrilateral, a form of two-dimensional object with four sides and four vertices, is what a rectangle is. The rectangle's four angles are all right angles or exactly 90 degrees. The rectangle's opposing sides are equal and parallel to one another. It should be noted that a parallelogram also has equal and parallel opposite sides, but the angles are not exactly 90 degrees.

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Tìm giá trị của x :

Bây giờ, có hai trường hợp :

Trường hợp 1. khi nào x + 3 = 0

Trường hợp 2. khi nào x - 2 = 0

Tôi hy vọng nó đã giúp !

The probability that the sample proportion of surgeons will differ from the population proportion by more than 3% is approximately 0.0455, or 4.55% (rounded to two decimal places).

To find the probability, we need to use the concept of sampling distribution. The standard deviation of the sampling distribution is given by the formula:

σ = sqrt(p * (1-p) / n),

where p is the population proportion (0.45) and n is the sample size (662).

Substituting the values, we get:

σ = sqrt(0.45 * (1-0.45) / 662) = 0.0177 (approx.)

To find the probability that the sample proportion of surgeons will differ from the population proportion by more than 3%, we need to calculate the z-score for a difference of 3%. The z-score formula is:

z = (x - μ) / σ,

where x is the difference in proportions (0.03), μ is the mean difference (0), and σ is the standard deviation of the sampling distribution (0.0177).

Substituting the values, we get:

z = (0.03 - 0) / 0.0177 = 1.6949 (approx.)

We then need to find the area under the standard normal distribution curve to the right of this z-score. Looking up the z-score in a standard normal distribution table, we find that the area is approximately 0.0455.

Therefore, the probability that the sample proportion of surgeons will differ from the population proportion by more than 3% is approximately 0.0455, or 4.55% (rounded to two decimal places).

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