2 Liam bought too much fencing and had 26 feet of it left over. He and his brother


decided to make a rectangle-shaped garden patch for their little sister. They wanted


to use all the extra fencing to outline her garden patch. What could be the dimen-


sions of the patch they make for their sister? (Use only whole numbers of feet. )


Show all your work. ​

Answer:

ready-steady paint

Step-by-step explanation:

if he needs 12 tins, and purchased from paint -O  mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30

from ready steady, he can buy 4 for £11. he needs 12.

so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.

33 X 0.85 = £28.05.

so he his better purchasing from ready steady paint

Step-by-step explanation:

To compare the distances of 2 miles, 4,800 feet, and 4,400 yards, we need to convert all the distances to the same unit. Let's choose feet as the common unit.

1 mile = 5,280 feet (by definition)

2 miles = 10,560 feet (since 2 miles x 5,280 feet/mile = 10,560 feet)

1 yard = 3 feet (by definition)

4,400 yards = 4,400 x 3 feet/yard = 13,200 feet

Now that we have all distances in feet, we can order them from least to greatest:

2 miles = 10,560 feet

4,400 yards = 13,200 feet

4,800 feet = 4,800 feet

Therefore, the order from least to greatest is: 4,800 feet, 2 miles, 4,400 yards.

Note that it is always important to keep track of the units when comparing or combining quantities.

Answer:

64

Step-by-step explanation:

Answer:

2b+6-4b+24=

-2b+30

Step-by-step explanation:

7×50×5 = 1750 minutes

1750minutes/60minutes = 29.161 hours

The set of equations that can be used to find the number of miles Javier would need to drive to make the costs equal is,

y = $130 + $0.10x,

And y = $130 + $0.10x.

Given that,

Javier is comparing the costs of two cars.

Car A costs $130 per month for insurance and $0.10 per mile to run.

Car B costs $108 per month for insurance and $0.15 per mile to run.

He defines x as the number of miles driven each month and y as the total cost to run the car.

We have to find,

Which set of equations can be used to find the number of miles Javier would need to drive to make the costs equal?

According to the question,

He defines x as the number of miles driven each month and y as the total cost to run the car.

Car A costs $130 per month for insurance and $0.10 per mile to run.

Then,

The total cost of car A = Number of miles of car A  + Insurance of car A

y = $130 + $0.10x

And

Car B costs $108 per month for insurance and $0.15 per mile to run.

Then,

The total cost of car A = Number of miles of car B + Insurance of car B

y = $108 + $0.15y

Hence, The set of equations that can be used to find the number of miles Javier would need to drive to make the costs equal is, y = $130 + $0.10x and y = $130 + $0.10x.

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Answer:

It would be "B"

Step-by-step explanation:

I don't even see where the guy above me addresses the answer. At least I can give you a straight forward answer.

Have a Jocular Day

(a) we substitute the expression for f(x) into f(√x-7):(f∘g)(x) = 1/(√x-7) - 6 . (b) the domain of (f∘g)(x) is all real numbers except x = 49. In interval notation, the domain is (-∞, 49) ∪ (49, +∞)

(a) The composition (f∘g)(x) refers to plugging the expression for g(x) into f(x).

To find (f∘g)(x), we substitute g(x) into f(x):

(f∘g)(x) = f(g(x)) = f(√x-7)

Now, we substitute the expression for f(x) into f(√x-7):

(f∘g)(x) = 1/(√x-7) - 6

(b) To determine the domain of (f∘g)(x), we need to consider the restrictions imposed by both f(x) and g(x).

The domain of g(x) is the set of values that make the square root function (√x) defined. Since the square root function is defined for non-negative real numbers, we need x-7 to be greater than or equal to zero:

x-7 ≥ 0

x ≥ 7

Therefore, the domain of g(x) is x ≥ 7.

For the composition (f∘g)(x) to be defined, the value inside the parentheses of f(x) must be nonzero. Thus, we need √x-7 to be nonzero:

√x-7 ≠ 0

√x ≠ 7

x ≠ 49

Therefore, the domain of (f∘g)(x) is all real numbers except x = 49. In interval notation, the domain is (-∞, 49) ∪ (49, +∞).

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The shaded region in the given curve represents the probability of a specific range of numbers in a normally distributed data set with a mean of 45 and a standard deviation of 7.

In a normal distribution, the area under the curve represents the probability of observing a particular range of values. To determine the probability associated with the shaded region, we need more specific information about the range.

The shaded region can represent different ranges of numbers depending on its position and size on the curve. Without further details or specifications, it is not possible to determine the exact range of numbers represented by the shaded region. It could correspond to a single standard deviation, multiple standard deviations, or a specific percentile interval, among other possibilities.

To calculate the probability for a specific range, we would need to calculate the cumulative probability using the mean, standard deviation, and the desired range. This can be done using statistical tables or software that can calculate the cumulative distribution function for a normal distribution.

In summary, the shaded region represents the probability of a range of numbers in the given curve, but the specific range cannot be determined without additional information or clarification.

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equation of an ellipse with the center ( 2, -4 ), and with a vertical major axis of length 14, and a minor axis of length 6 is \(\frac{(x-2)^{2} }{49 } +\frac{(y+4)^{2} }{9 } = 1\)

The standard form for an ellipse with a vertical major axis

\(\frac{(x-h)^{2} }{a^{2} } +\frac{(y-k)^{2} }{b^{2} } = 1\)

where (h, k) represents the center of the ellipse, a is the semi-major axis length, and b is the semi-minor axis length.

Center: (2, -4)

Vertical major axis length: 14

Minor axis length: 6

The center of the ellipse is (h, k) = (2, -4).

The semi-major axis length a is half of the major axis length,

a = 14 / 2

a = 7.

The semi-minor axis length b is half of the minor axis length,

b = 6 / 2

b = 3.

Putting these values into the standard form equation, we get

\(\frac{(x-2)^{2} }{7^{2} } +\frac{(y+4)^{2} }{3^{2} } = 1\)

Simplifying the equation gives the final equation of the ellipse

\(\frac{(x-2)^{2} }{49 } +\frac{(y+4)^{2} }{9 } = 1\)

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Answer:

option 3rd is the correct one

The probability of getting at least one head in two flips of a coin is 3/4 or 0.75, which means that there is a 75% chance of getting at least one head in two flips of a coin.

To find the probability of at least one head in two flips of a coin, we can use the complement rule. The complement of the event "at least one head" is "no heads."

The probability of getting no heads in two flips of a coin is (1/2) x (1/2) = 1/4.

Therefore, the probability of getting at least one head in two flips of a coin is:

1 - (probability of no heads) = 1 - 1/4 = 3/4

The probability of getting at least one head in two flips of a coin is 3/4 or 0.75, which means that there is a 75% chance of getting at least one head in two flips of a coin.

In other words, if you flip a coin twice, the probability of getting at least one head is relatively high, and you are more likely to get at least one head than to get no heads at all.

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Answer:

364 days

Step-by-step explanation:

Magic bean will take 364 days to grow 14.56 m tall.

A conversion factor exists as a ratio that expresses how many of one unit stand equal to another unit. For example, there exist 12 in. in 1 ft, 1609 m in 1 mi, 100 cm in 1 m, 60 s in 1 min, and so on.

Unit conversion exists as a multi-step procedure that involves multiplication or division by a numerical factor, choosing the accurate number of significant digits, and rounding.

First we need to convert the height in m into cm.

14.56 m=14.56*100=1456 cm

If it grows 4 cm in one day then:

It will take 1456/4=364 days (a year) to grow completely.

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There are 3,315,312 possible passwords containing exactly 5 letters with no repetition. To find out how many passwords are possible with exactly 5 letters, without repeating any letters, you need to consider the total number of letters available and the different combinations that can be formed.

There are 26 letters in the English alphabet. Since each letter can only be used once in a password, you can think of this problem as choosing 5 different letters from the pool of 26. This is a permutation problem.

For the first letter, you have 26 options. After selecting the first letter, you have 25 options left for the second letter. This continues for all 5 letters in the password. To find the total number of possible passwords, multiply the number of options for each letter:

26 options (1st letter) * 25 options (2nd letter) * 24 options (3rd letter) * 23 options (4th letter) * 22 options (5th letter)

26 * 25 * 24 * 23 * 22 = 3,315,312

So there are 3,315,312 possible passwords containing exactly 5 letters with no repetition.

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The simplest form of a fraction is when the numerator (top number) and denominator (bottom number) have no common factors.

A fraction is a mathematical expression that represents a part of a whole, where a numerator is divided by a denominator. To simplify a fraction, we must divide both the numerator and the denominator by the same number until we cannot divide any further. To simplify a fraction, you must divide both the numerator and denominator by their greatest common factor (GCF).

For example, let's simplify the fraction 24/36. The GCF of 24 and 36 is 12. So, dividing both numbers by 12 will give us the simplified fraction 2/3.

24 ÷ 12 = 2

36 ÷ 12 = 3

Therefore, the simplified fraction of 24/36 is 2/3.

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Answer:

48/2

Step-by-step explanation:

you can just multiply it by the denominator to make any number an improper fraction

When the null space of matrix a is n-dimensional, the dimension of the column space of a is (n-r), where r is the rank of the matrix.

A matrix is a rectangular array of numbers arranged in rows and columns. The number of rows and columns in a matrix is referred to as the matrix's dimensions. A matrix with n rows and m columns is referred to as an n x m matrix or an "n by m" matrix.

A null space or a kernel of a matrix A is a set of vectors that satisfies the homogeneous equation Ax = 0. It is represented by a set of linearly independent vectors.

The column space of a matrix is the set of all linear combinations of its columns. It is the space spanned by the columns of the matrix.

The rank of a matrix is the number of linearly independent rows or columns in the matrix. It is equal to the number of nonzero rows or columns in the row-echelon form of the matrix.

The rank of a matrix can be computed using elementary row operations.To summarize, the dimension of the column space of a matrix a is (n-r),

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Considering the factors of time and cost, strategic alliances generally emerge as the quickest and cheapest way to develop a global strategy. (option c)

Strategic alliances involve partnerships or collaborations between companies from different countries, with the goal of leveraging each other's strengths to achieve mutual benefits.

By sharing resources, knowledge, and networks, companies can expand their global presence more efficiently and cost-effectively. Strategic alliances can enable faster market entry and access to new markets by leveraging the partner's existing infrastructure, distribution channels, and customer base.

Moreover, pooling resources can help reduce costs and risks associated with global expansion.

Therefore, strategic alliances can be a relatively quicker and cheaper way to develop a global strategy, as they provide an opportunity to tap into existing capabilities and market presence of the alliance partner.

Hence the correct option is (c).

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Job hopping can provide both advantages and challenges for employers and employees. Employers benefit from fresh perspectives and adaptability but face higher recruitment costs and decreased loyalty. Employees can develop their skills and expand their networks but may experience a lack of job security and face negative perceptions in the job market.

The advantages and challenges of job hopping from the employers and employees perspective are as follows,

For employers,
Advantages include,
1. Fresh perspectives: Hiring employees with diverse experiences can bring new ideas and innovative thinking to the company.
2. Adaptability: Job hoppers tend to be adaptable, as they have been exposed to various work environments and have learned to quickly adjust to new situations.
Challenges include,
1. Recruitment costs: Frequent job hoppers may increase recruitment and onboarding costs, as the company needs to invest time and resources in finding and training new employees.
2. Decreased loyalty: Employees who change jobs often may be less loyal and committed to the company, as they may always be looking for new opportunities.

For employees,
Advantages include,
1. Skill development: Job hopping allows employees to gain diverse experiences and develop a broad range of skills, making them more marketable in the job market.
2. Networking opportunities: By working in different companies, job hoppers can expand their professional networks, which may open up future opportunities.
Challenges include,
1. Lack of job security: Constantly changing jobs may create a sense of instability and uncertainty for employees, as they may not have long-term job security.
2. Negative perception: Some employers may view frequent job changes as a sign of unreliability or lack of commitment, making it more difficult for job hoppers to secure new positions.

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Answer:

$7.6 ;

No, you will not be able to buy 3 more CDs

$9.5

$28.5

Step-by-step explanation:

Given that :

Cost of 4 CDs = $30.40

Cost per CD is equal

Sale price = 80% of original price

Price p per CD:

Cost of 4 CDs / number of CDs

$30.40 / 4

= $7.6

2)

No, you will not be able to buy 3 more CDs

If x = original price

80% of x = 7.6

0.8x = 7.6

x = 7.6 / 0.8

x = $9.5

$9.5 * 3 =$28. 5

Hence, $25 can't buy 3 CDs the next day (28.5 > $25)

Answer:

(x - 8)² + (y - 15)² = 9

Step-by-step explanation:

Assuming you want the equation.

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (8, 15 ) and r = 3 , then

(x - 8)² + (y - 15)² = 9

Answer: It would be 144 inches

Step-by-step explanation:

Answer:

144 inches long

Step-by-step explanation:

there are 36 inches in one yard, so you eliminate any answers that are under 36 inches. Then you multiple 36inches times 4 yards to find your answer. 36 x 4 = I44

-3 is less than 2

< is the symbol

Answer:

the volume of a cylinder = V=Ah =pirsqh

=pie × r sq × h

= 3.14×4 ×4×9 = 452.16 so thats eliminated?

Volume of a cone = V= 1÷3pirsqh

= 1/3×3.14×4×4×9 = 150.72

volume of cylinder = 2×pi×r×h+2×pi× r×r

=241.645

not sure choose the ones you think a closest?

honestly i need help aswell

The director may consider collecting more data or conducting a different type of hypothesis test to further investigate the research question.

The human resources director is analyzing the average ages of employees at two different plants (A and B) to determine if there is a significant difference between them. In this scenario, the director obtained a z-value of 1.88 from the statistical analysis.
The z-value, or standard score, indicates how many standard deviations the observed difference in average ages is from the expected difference (which would be zero if there is no actual difference).

To find the p-value, we use the z-value to look up the area under the standard normal distribution curve.
A p-value is the probability of observing a test statistic as extreme or more extreme than the one obtained, assuming the null hypothesis is true.

In this case, the null hypothesis would be that there is no difference in the average ages of employees at the two plants.
With a z-value of 1.88, the p-value will be the area under the curve to the right of 1.88 (for a two-tailed test, since we are looking for a difference in either direction).

Using a z-table or a calculator, we find that the area to the right of 1.88 is approximately 0.0301.

If the p-value is less than α, it indicates that the observed difference in average ages is statistically significant, and the director can conclude that there is a difference in the average ages of employees at the two plants.

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a) Four-digit strings with 10⁴ characters are available.

b) A string that finishes in an odd number has 10 options for the first three digits and 5 options for the last digit.

c) The fourth digit has nine alternatives.

Given,

We have to find the number of strings of four decimal digits for the following conditions;

a) Do not use the same numeral more than once.

There are 10⁴ strings with four decimal digits.

We have 10 options for the first digit, 9 options for the second digit, 8 options for the third digit, and 7 options for the fourth digit when creating a string with 4 different digits. We deduce from the product rule that there are 10 9 8 7 = 5040 four decimal digits with no duplicate digits.

b) End with an odd digit

There are 10 choices (ranging from 0 to 1, 2,..., 9) for the first three digits of a string that ends in an odd number, and 5 possibilities (ranging from 1, 3, 5, 7,.., 9) for the last digit. According to the product rule, there are 5000 strings that terminate in an even number, or 10 × 10 × 10 × 5.

c) Have exactly three digits that are 8

There is one non-8 digit in the 4-decimal string, which includes exactly 3 digits that are 8. Therefore, there are 9 options for the fourth digit (ranging from 0 through 1, 2, 3, 4, 5, 6, and 9). The non-digit may appear in the string at positions 1, 2, 3, or 4. The sum rule leads us to the conclusion that there are 36 four decimal digits with exactly three 8s, which equals 9 + 9 + 9 + 9 = 36.

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Question is incomplete. Completed question is given below;

How many strings of four decimal digits

a) Do not contain the same digit twice

b) End with an odd digit?

c) Have exactly three digits that are 8