10. In the illustration, triangle D'E'F is formed by
adding 6 units to the y-coordinate of each
vertex of triangle DEF. The best term for
describing triangle D'E'F' is
D שן
A a rotation of ADEF.
B a reflection of ADEF.
C similar to ADEF
D congruent to ADEF.
Please helpppppppp

A dilation is defined as a non-rigid transformation that multiplies the distances between every point in a polygon or even a function graph, called the center of dilation, by a constant factor called the scale factor.

The scale factor for this problem is given as follows:

k = 3.

Hence the side lengths on the dilated image will be three times the side lengths on the original image.

A similar problem, also about dilation, is given at brainly.com/question/3457976

#SPJ1

The inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

Inverse of a function can be calculated by following the steps mentioned below -

According to the question, the equation given is as follows

y = f(x) = 2x + 5

y = 2x + 5

Replace 'y' with 'x', we get -

x = 2y + 5

Now, solve for y -

2y = x - 5

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

Replace 'y' with f⁻¹(x) -

f⁻¹(x) = (x/2) - (5/2)

Hence, the inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

To solve more questions on inverse of function, visit the link below-

brainly.com/question/28229665

#SPJ1

Answer:

You didn't write the expression.

Step-by-step explanation: You did not write the expression.

Answer:

21

Step-by-step explanation:

9-(-12) = 9+12 = 21 ( product of two minus signs is plus)

Answer:

11

Step-by-step explanation:

Okay so this used to confuse me when I was younger but It's actually pretty simple, just imagine the subtraction sign, the parentheses, and the negative sign in front of the two turns into a plus sign. It's basically addition with more steps so instead of seeing this - ( - you can see this +. I hope this helps.

The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

Learn more about Proposition here:

https://brainly.com/question/30695879

#SPJ1

Answer: 30%

Step-by-step explanation: 21/70 = 21 divide 70 = 0.3 = 30%

Answer:

1:1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

 Two sides of a triangles sum must be larger than the third side.

Answer:

Line A B and Line C G are parallel.

Line C G and Line R S are perpendicular.

Line segment C G  lies in plane X.

Step-by-step explanation:

On my moma my answer 100%

The following statements are true:

Line AB and line CG are parallel.

Line CG and line RS are perpendicular.

Line segment CG lies in plane X.

When the two lines lie in the same plane then they are said to be parallel lines.

Given information:

Planes X and Y intersect at a right angle.

Lies in plane X and do not intersect.

A) Line AB and Line CG are parallel: As both lines, AB and CG lie in plane X. Thus both are parallel and options A is the correct option.

B) Line AB and Line RS are parallel: As the line, AB lies in the plane X and the line RS lies in the plane Y. Thus both are perpendicular and not parallel. Option B is the incorrect option.

C)Line CG and Line RS are perpendiculars: As the line CG lies in the plane x and the line RS lies in the plane Y. Thus both are perpendicular. Option C is the correct option.

D) Line AB and Line RS must intersect: line RS passes from the middle of the plane Y and line AB passes from the left of the plane X centre. Thus they do not intersect each other. Option D is the incorrect option.

E) Line segment CG lies in plane X: As shown in the diagram, line CG lies in plane X. Thus option E is the correct option.

F) Line segment RS lies in plane X: As shown in the diagram, and the line lies RS in plane Y. Thus option F is the incorrect option.

Hence, the following statements  are true:

Line AB and line CG are parallel.

Line CG and line RS are perpendicular.

Line segment CG lies in plane X.

Learn more about the parallel line here:

brainly.com/question/16742265

#SPJ2

Answer:

7((x-2)(3x+4))

Step-by-step explanation:

Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product.  You get 7((x-2)(3x+4))

Answer:3

9-6=3

6-4=2

So,

4-3=1

Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

Answer:

A: P(t)=29100e^(.05t)

B: ≈43412

Step-by-step explanation:

A: The formula A=Pe^(rt) can be used. Initial value of 29100, e is the exponential constant, the rate is 5% which can be seen as 5/100, and t=time

B: Use the equation you created and substitute 8 for t since the years of difference between 2008-2000 is 8 years

29100e^(.05(8)) ≈ 43412.0987014

Rounded to the nearest fox is ≈43412

Answer:

1) y = 4/3x - 1/3

2) slope = 5

Step-by-step explanation:

Point (4,5)

y= 4/3x - 6

Slope = 4/3

y-intercept: 5 - (4/3)(4) = -1/3

y = 4/3x - 1/3

y - 4 = 5(x-1)

y-4 = 5x -5

y = 5x -5 +4

y = 5x -1

Slope = 5

Answer:

Persia should measure the length of each flower that she used in creating this flower arrangement and add up all the values to get the total height (i.e., the combined height) of the eight flowers used. Make sure to keep the units consistent all throughout the calculation to avoid any errors. For example, if centimetres are used to measure height of one flower, use centimetres all throughout and not switch to using inches at any point.

Hope that answers the question, have a great day!

Answer:

61 1/2

Step-by-step explanation:

math is ez

The solution is A = 4000

The equation after rounding up numbers is A = 10 x 400 = 4000

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Non-zero digits are always significant

Zeros between non-zero digits are always significant

Leading zeros are never significant

Trailing zeros are only significant if the number contains a decimal point

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first number be = p

The value of p = 13

Let the second number be = q

The value of q = 378

Rounding the number p to 1 significant figure , p = 10

Rounding the number q to 1 significant number q = 400

So , the equation is A = p x q

Substituting the values in the equation , we get

A = 10 x 400

The value of A = 4000

Hence , The equation after rounding up numbers is A = 10 x 400 = 4000

To learn more about rounding up of numbers click :

https://brainly.com/question/4896544

#SPJ1

The anwers is

A) 18r

B)(2r)9

Answer:

16 quizzes

Step-by-step explanation:

8 quizzes = 2 weeks

2 x 2 = 4, therefore we would do 8 x 2 to get the total number of quizzes after 4 weeks, giving us 16.

Answer:

16

Step-by-step explanation:

If Darnel took a total of 8 quizzes over the past 2 weeks. We can assume that he takes 4 quizzes in one week but that doesn't matter. If he attended 4 weeks of school he would have taken 16 quizzes because in 2 week he takes 8 quizzes, so 8+8=16. Each 8 represents 2 weeks.

Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%

The formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time

Process time = 23 days

Inspection time = 13 days

Value added time = 23 + 13 = 36days

The production cycle time = Move time + process time + queue time + inspection time + wait time

= 22 + 12 + 23 + 13 + 17 days

= 87 days

So, the manufacturing efficiency time = 36/87 * 100

= 41.4%

Learn more about manufacturing efficiency here:

https://brainly.com/question/29645032

#SPJ1

Answer:

  7(5 +2)

Step-by-step explanation:

From our knowledge of times tables, we know that ...

  35 = 5·7

  14 = 2·7

so the greatest common factor of 35 and 14 is 7. Factoring that out, we have ...

  35 +14 = 7(5 +2)

By subtracting and adding mixed numbers, we can see that at the end she has (5 + 7/8) tubes of paint.

We know that initially Allie had (4 + 3/4) tubes of purple paint, and she sed (2+ 1/4) tubes.

So at this point we need to take the difference between the two mixed numbers, we will get:

(4 + 3/4) - (2 + 1/4) = (4 - 2) + (3/4 - 1/4)

(4 - 2) + (3/4 - 1/4) = 2 + 2/4

2 + 2/4  = 2 + 1/2

Then she founds (3 + 3/8) more. Now we need to add that:

2 + 1/2 + (3 + 3/8) = (2 + 3) + (1/2 + 3/8)

(2 + 3) + (1/2 + 3/8) = 5 + (4/8 + 3/8)

5 + (4/8 + 3/8) = 5 + 7/8

She has 5 + 7/8 tubes of purple paint.

Learn more about mixed numbers:

https://brainly.com/question/21610929

#SPJ1

Answer:

Step-by-step explanation:

As per diagram we have:

As per 30° right triangle property:

Area of triangle:

The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.

Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.

Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.

Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $30,000*120% = $36,000.

Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.

-Direct labor cost as allocation base:

The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $20,000*120% = $24,000.

Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Direct labor hours as allocation base:

The actual direct labor hours used in job 201 is 400 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.

Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.

-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.

The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.

The applied overhead cost for job 201 is $24*240 hours = $5,760.

Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.

For more such questions on cost visit:

https://brainly.com/question/31479672

#SPJ8

The absolute value of the Rational number -474/513 is 474/513.

To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:

-8/9 = (-8/9) * (57/57) = -456/513

-2/57 = (-2/57) * (9/9) = -18/513

Now, you can add the fractions:

-456/513 + (-18/513) = (-456 - 18)/513 = -474/513

To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:

| -474/513 | = 474/513

Therefore, the absolute value of the rational number -474/513 is 474/513.

For more questions on Rational .

https://brainly.com/question/30339525

#SPJ8

Answer:13+4(n-1)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

using the power of elemination,looking at the first equation,we singled out the top 2, now looking at the 2nd equation, we see the y intercept is 2 meaning it has to be graph c