find the value of x so that L is parallel to M. State the converse used.
(26x-4) (15x+29)

we have the function

f(x)=x^3-5x^2-2x+24

Remember that

If x=3 is a zero of the given function

then

(x-3) is a factor of the given function

so

Divide the given function f(x) by the factor

x^3-5x^2-2x+24 : (x-3)

x^2-2x-8

-x^3+3x^2

--------------------------

-2x^2-2x+24

2x^2-6x

----------------------

-8x+24

8x-24

------------

0

therefore

x^3-5x^2-2x+24=(x-3)( x^2-2x-8)

Solve the quadratic equation

x^2-2x-8=0

using the formula

a=1

b=-2

c=-8

substitute

The values of x are

x=4 and x=-2

therefore

x^3-5x^2-2x+24=(x-3)(x+2)(x-4)

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

Down 2 and a flip with (-1,3)(1,0)(2,3)and(1,4)

Step-by-step explanation:

hope this works

Sequence of transformations that maps quadrilateral ABCD onto quadrilateral A"B"C"D".

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation or dilation.

The translation is moving a function in a specific direction, rotation is spinning the function about a point, reflection is the mirror image of the function, and dilation is the scaling of a function.

Given,

Quadrilateral ABCD and A"B"C"D" in the graph.

Transformation of quadrilateral ABCD to A"B"C"D"

By the graph, Steps of transformation are as follows

Hence,

Reflection of ABCD over Y-axis.

Shift of factor 2 downwards.

are the steps to transform ABCD to A"B"C"D".

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Z-tests are closely related to t-tests, but t-tests are best performed when the data consists of a small sample size, i.e., less than 30. The given statement is true.

Does critical value depend on sample size?

The sample size and the crucial value that the researcher employed must be connected. The variations in critical values between the t-distribution and the normal-shaped sampling distribution, however, are minimal for sample sizes bigger than 30.

Z-tests and t-tests are closely related, but t-tests work best with small sample sizes of data, or those with fewer than 30 participants. Additionally, whereas z-tests assume that the standard deviation is known, t-tests assume that it is unknown.

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct.

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Answer:

7x² - 3x + 7

Step-by-step explanation:

Step 1: Write out expression

5x² + 3x + 4 + 2x² - 6x + 3

Step 2: Combine like terms (x²)

7x² + 3x + 4 - 6x + 3

Step 3: Combine like terms (x)

7x² - 3x + 4 + 3

Step 4: Combine like terms (constants)

7x² - 3x + 7

Answer:

\(\Large \boxed{7x^2-3x+ 7}\)

Step-by-step explanation:

\((5x^2 + 3x + 4) + (2x^2 -6x + 3)\)

Removing brackets.

\(5x^2 + 3x + 4 + 2x^2 -6x + 3\)

Grouping like terms.

\((5x^2 + 2x^2) + (3x -6x)+ (4 + 3)\)

Combining like terms.

\((7x^2) + (-3x)+ (7)\)

The coordinate of the point after transformation is: (3, -4)

The coordinate initially is given as (0, -4).

Moving one unit to the left means a deduction of 1 unit from the x coordinate to get:

(0 - 1, -4)

= (-1, -4)

Moving by 4 units to the right means an addition of 4 units to x coordinate to get:

(-1 + 4, -4)

= (3, -4)

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la surface de l'écharpe est de 1 1 56 cm² car la formule pour calculer l'air d'un carré est A= coté * coté soit coté²

donc :  Aécharpe=34²=1156

Answer:

I just did it its 1/3n - 5

Step-by-step explanation:

Part A: Kennedy's expression is incorrect because 0.07 is 7 percent, not 70.

Part B: The correct expression would be 0.7 * 20, which equals 14

Answer:

Step-by-step explanation:

2x + 10 + 4x + 20 = 180

6x + 30 = 180

6x = 150

x = 25

2(25) + 10 = 50 + 10 = 60

4(25) + 20 = 100 + 20 = 120

Answer:

A

Step-by-step explanation:

11/4 hours on the first day

21/4 hours on the second

21-11=10

10/4 hours or 2 2/4

Answer:  2 & 2/4 which is choice A

Work Shown:

1/4 = 0.25

2/4 = 0.5

3/4 = 0.75

2 & 3/4 = 2 + 3/4 = 2 + 0.75 = 2.75

5 & 1/4 = 5 + 1/4 = 5 + 0.25 = 5.25

Subtract the values:

5.25 - 2.75 = 2.5

Then convert back to a mixed number

2.5 = 2 + 0.5 = 2 + 2/4 = 2 & 2/4

Optionally you can reduce that 2/4 into 1/2, but it appears your teacher has chosen not to.

Answer:

t = - 1/8

Step-by-step explanation:

t ÷ 5/12 = - 3/10

t × 12 ÷ 5 = - 3/10

12t/5 = - 3/10

12t × 10 = -3 × 5

120t = - 15

t = - 15/120

t = - 1/8

Thus, t divided 5/12 = - 3/10 => -1/8

-TheUnknownScientist

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

A functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

In the case οf a functiοn frοm οne set tο the οther, each element οf X receives exactly οne element οf Y. The functiοn's dοmain and cοdοmain are respectively referred tο as the sets X and Y as a whοle. Functiοns were first used tο describe the idealized relatiοnship between twο varying quantities.

Here, we have

Given:

Tο find the percentage οf the full mοοn, we can write an equatiοn in the fοrm P = Acοs(Bt) + C

After 14 days, the percentage οf the mοοn is zerο

A = (max-min)/2 = 50/2 = 25

The periοd = 28 days

P = Acοs(BT = t) + c

B = 2π/periοd = 2π/28 = π/14

c = min + A = 0 + 25 = 25

We get,

P = 25cοs(π/14t) + 25,

Here, p is the percentage οf the mοοn visible cοmpared tο the previοus full mοοn.

Hence, a functiοn fοr the percentage is P = 25cοs(π/14t) + 25.

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Answer:

90 cubes.

Step-by-step explanation:

First we find volume of the cuboid.

Volume = l x b x h = 20 x 18 x 16 = 5760 cm³

Now,

Volume of a single cube = l³ = 4³ = 64

No of cubes that can be cut out from the cuboid is

= Volume of cuboid/ volume of cube

= 5760/ 64

= 90 cubes

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

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Answer:

19cm

Step-by-step explanation:

(chose one way)

1. way using commutativity

(3cm+4cm)+(10cm+2cm)=7cm+12cm=19cm

2. way just writing

3cm+4cm+10cm+2cm=19cm

Answer:

275

Step-by-step explanation:

Answer:

Tripling the price means it increased by 200% so the markup is 200% (pls give brainlest please!)

Answer: their both wrong

Step-by-step explanation:

The new coordinate (- 7, 3 ) of the image of (-3,-7) under a rotation of 90 degrees.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Let the coordinate Z is (-3, -7)

Under a clockwise rotation about the origin of  90 degrees

A coordinate ( x, y ) → ( y, - x ),

The coordinate Z is (-3, -7) and is translated using the rule

Then simply plug in the values of x and y which are x = -3 and y = -7

Thus ( -3, - 7 ) → (- 7, 3 )

This is the new coordinate for Z  (- 7, 3 )

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No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

48 degrees

Step-by-step explanation:

the angle measure doesn't scale of shrink with the dilation of circles. the angle only just extends.

Answer:3

:)e

Step-by-step explanation:

555

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

Answer:

wow that

Step-by-step explanation:

a lot

The line's equation is;

y = 550x + 40000

Following these procedures will allow you to determine a line's equation from a graph:

Choose two locations along the line. Any two spots on the line may serve as these points.

Use the following formula to determine the line's slope:

slope equals (y2 - y1)/. (x2 - x1)

The line's slope is what we have:

m = y2 - y1/x2 - x1

Therefore; 51000 - 40000/30 - 10

= 550

If y = 40000 at the origin, the equation would be;

y = 550x + 40000

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Answer:

the action or process of transmitting something, or the state of being transmitted.

The required estimate for the reduced Total Wages for the next two weeks combined would be approximately 1.95 times the amount of money being paid to all employees over the course of a week in the Current Week.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
To estimate the reduced Total Wages for the next two weeks combined, we can use the following formula:

Reduced Total Wages = Current Total Wages x (1 - Wage Reduction Percentage)

Reduced Total Wages = C × (1 - 0.025) × 2

Simplifying this expression, we get:

Reduced Total Wages = C × 0.975 × 2

Reduced Total Wages = 1.95C

Therefore, the estimate for the reduced Total Wages for the next two weeks combined would be approximately 1.95 times the amount of money being paid to all employees over the course of a week in the Current Week.

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Answer:

B

Step-by-step explanation:

Area of semicircle=(r^2×3.14)/2

=(4×3.14)÷2

=6.28

area of rectangle=3×4

12+6.28=18.28

perimeter of semicircle is =(d×3.14)/2

=4×3.14/2

6.28+3+3+4

6+10

perimeter=16.28

The area & perimeter of the figure are,

B.)  A≈18.28sq.inch & P≈16.28inch.

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

Here,

Area of semicircle=(r^2×3.14)/2

                             =(4×3.14)÷2

                             =6.28

area of rectangle=3×4=12

So, total area of the figure =12+6.28=18.28 sq. inch

Again, perimeter of semicircle is =(d×3.14)/2

                                                      =4×3.14/2

                                                      =6.28

Total perimeter of the figure =6.28+3+3+4

                                               =6.28+10

perimeter=16.28 inch

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