Write a rule for the translation of ABC to A’B’C’

Answer:

110

Step-by-step explanation:

90 + 10

Answer:

25%

Step-by-step explanation:

8am -2pm = 6 hours 6/24= .025

.025 x100 =25%

a. Assuming no additional restrictions, there are  800 possible three-digit area codes.

b. Considering ERCs, there are  80 ERCs.

c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\)  possible seven-digit phone numbers.

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.

a. For three-digit area codes, the first digit cannot be 0 or 1.

Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)

b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).

Since the second digit must be the same as the third digit, there is only 1 possibility.

Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)

c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.

There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).

Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.

For the area code (part a), there are 800 possibilities.

For the seven digits after the area code (part c), there are 8,000,000 possibilities.

Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.

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Answer:

b. 19

Step-by-step explanation:

by similarity between two triangles BFG~BAC

This series diverges by the limit test (some books may call it the nth term test).

Recall the limit test is the idea if the sequence doesn't converge to 0, then the series diverges.

In this case, the sequence converges to n/(7n) = 1/7 since all we are about are the leading terms when n gets very large.

After some very large n value, we're effectively adding on 1/7 or very close to it, each time. The infinite sum does not approach a fixed value. It keeps growing forever.

Total number of rabbits produced in 9 years will be 45.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a rabbit can produce 5 new rabbits per year

Total number of rabbits produced in 9 years will be -

n = 5y = 5 x 9 = 45 new rabbits

Therefore, total number of rabbits produced in 9 years will be 45.

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Answer:

25%

Step-by-step explanation:

16 x 100 ÷ 64.

you simply take the minutes that he exercised and thereafter divide it by the recommended exercise that was prescribed by his coach.

Answer:

6 h + 2 y + 4 is your answer

Step-by-step explanation:

Hope this helps! :)

Answer:

6h+2y+4

Step-by-step explanation:

so all you do is just subtract common factors so for 10h you just do 10h -4h and get 6h and do that for the rest

The area of a square inscribed in a circle is 25, then the area of the circle is 25π/2 or approximately 39.27 square units.

To solve this problem, we can use the relationship between the area of a square inscribed in a circle and the area of the circle itself.

When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let's assume that the side length of the square is 's' and the radius of the circle is 'r'.

We are given that the area of the square is 25, so we can find the side length of the square:

Area of square = \(s^2 = 25\)

Taking the square root of both sides, we get:

s = √25 = 5

Since the diagonal of the square is equal to the diameter of the circle, we can find the diameter of the circle:

Diagonal = Diameter = s√2 = 5√2

The radius of the circle is half the diameter, so:

Radius = 5√2 / 2 = (5√2)/2

Now, we can calculate the area of the circle using the formula:

Area of circle = \(\pi r^2\)

Substituting the value of the radius, we get:

Area of circle = π((5√2)/\(2)^2\) = π(25/2) = 25π/2

Therefore, the area of the circle is 25π/2 or approximately 39.27 square units.

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Answer:

2 OUTFITS

Step-by-step explanation:

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

Answer:

I Think the answer is B I'm sorry if I'm wrong

Based on the definition of the midpoint of a line segment, the length of UV is determined as: 16 units.

The midpoint of a segment is defined as the point on a line segment where the line segment is bisected into two equal smaller segments. The length of the smaller segments formed will be equal to each other.

Given that V is the midpoint of segment UW, it means that V divides segment UW into two equal smaller segments, UV and VW.

UV = 2x

VW = x + 8

Therefore:

UV = VW

Substitute

2x = x + 8

2x - x = x + 8 - x [subtraction property of equality]

x = 8

Find the length of UV:

UV = 2x

Plug in the value of x

UV = 2(8)

UV = 16 units.

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Answer:

8

Step-by-step explanation:

(20+16−8) ÷ (12−10) − 3(2)

(36-8) ÷ 2- 6

28 ÷ 2- 6

14- 6

8 is the answer.

Answer

B

explanation

3480ones = 3480x1=3480

\(\huge \bf༆ Answer ༄\)

Let's use Unitary method ~

Therefore, the Answer is 210 kg

Answer:

210

Step-by-step explanation:

1sack=35kg

6sacks=

if you cross multiply to get 6 sacks

6×35/1 =210/1 =210kg

Answer: 14%

Step-by-step explanation:

Let's assume that there are 100 books in total.

So there are 60 fiction books and 40 nonfiction books.

10% of 60 is 6.

20% of 40 is 8.

So there are 14 books out of 100 that are worn.

This is 14%

explantation

Step-by-step explanation:

it's -5y-4--(x+3)

The inverse of the function is f⁻¹ ( x ) = √(5x + 4) - 3

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

5y + 4 = ( x + 3 )²

On simplifying , we get

5y + 4 = (x + 3)²

5y = (x + 3)² - 4

Divide by 5 on both sides , we get

y = [(x + 3)² - 4]/5

Now , the inverse of the function is f⁻¹ ( x )

On interchanging x and y in the equation , we get

x = [(y + 3)² - 4]/5

On solving for y , we get

5x = (y + 3)² - 4

5x + 4 = (y + 3)²

√(5x + 4) = y + 3

Subtracting 3 on both sides , we get

y = √(5x + 4) - 3

f⁻¹ ( x ) = √(5x + 4) - 3

Hence , the inverse is f⁻¹ ( x ) = √(5x + 4) - 3

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Answer:

Step-by-step explanation:

You want to identify the given shapes as a regular or irregular polygon, or neither.

A regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.

Polygon E is a regular polygon.

A polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.

Any simple polygon that is not a regular polygon is an irregular polygon.

Polygons A, B, D are irregular polygons.

A circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.

<95141404393>

we have the function

Remember that the denominator cannot be equal to zero

The domain of the given function is all real numbers except for x=-2

that means

there is a vertical asymptote ay

x=-2

Find out the horizontal asymptote

the degree of the numerator is the same that the degree of the denominator

therefore

Find out the quotient between the leading coefficient of the numerator and the leading coefficient of the denominator

1/1=1

the equation of the horizontal asymptote is

y=1

see the attached figure to better understand the problem

P(A and B) is equal to 6.

To find P(A and B), we can use the formula:

P(A and B) = P(A) + P(B) - P(A U B)

Given the information:

P(A U B) = 32 (the probability of either event A or event B occurring)

Universal set contains 52 elements (total number of possible outcomes)

P(A intersection B) = 6 (the probability of both event A and event B occurring)

P(A) = 12 (the probability of event A occurring)

P(B) = 26 (the probability of event B occurring)

We can substitute the known values into the formula:

P(A and B) = P(A) + P(B) - P(A U B)

P(A and B) = 12 + 26 - 32

Simplifying the expression:

P(A and B) = 38 - 32

P(A and B) = 6

Therefore, P(A and B) is equal to 6.

The result indicates that the probability of both event A and event B occurring simultaneously is 6 out of the total number of possible outcomes in the universal set. It means that out of the 52 elements in the universal set, 6 of them satisfy the conditions of both A and B.

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Answer:

  49 = 7²

Step-by-step explanation:

A logarithm is an exponent. The base of the logarithm is the base of the exponent. The base to that exponent is the argument of the log function.

__

The logarithm (exponent) is 2. The base is 7. The argument of the log function is 49. In exponential form, this is written ...

  7² = 49

Answer:25.3

Step-by-step explanation:

Because your adding 25 to 0 and leaving the decimal point and taking away 0 from 30

Answer:

"18", "54", and "108"

Step-by-step explanation:

A straight line has an angle of 180 degrees. It can be seen as "half a circle", which has an angle of... 360 degrees, and since it's half, it's just 180 degrees.

Now we're also given the angles that compose the straight line (x, 3x, and 6x), and by adding these angles together, we should get the angle of the straight line. So that means that: \(x+3x+6x=180\)

Now from here we can just combine them all into one term:

\(10x=180\)

Now divide both sides by 10:

\(x=18\)

Our angles are equal to "x", "3x", "6x", and to calculate their value, we just plug in "18" as x giving us: "18", "3(18)", "6(18)" which simplifies to the angles: "18", "54", "108"

Answer:

420

Step-by-step explanation:

Subtract the numbers

789 - 371

Sum:

418

Remember, we did not necessarily round up or down, but to the ten that is nearest to 418.

First, 418 rounded to the nearest ten is

420

When rounding to the nearest ten, like we did with 418 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Answer:

2.35714285714

Step-by-step explanation:

Thank you!

Answer:

2 times

Step-by-step explanation:

You can subtract to find it. 33 - 14 = 19. 19 - 14 = 4. That is 2 times. If you subtract again, it won't work.

Answer:

$8 in 1 week mmmmmmmmmmmmnnnn

Answer:

$8

Step-by-step explanation:

If you save 32 dollars in 4 weeks, you want to divide it by 4 to get amount of dollars per week. 32 dollars/ 4 weeks = 8 dollars/ 1 week. If you have a question that asks how much will you save in, for example 9 weeks, just multiply 8 by 9, and get 72 dollars saved in 9 weeks.