A rectangular room is 4.6 meters wide by 5.4 meters long. What is its perimeter?

We were able to express the given vectors as linear combinations of the columns of matrix a, which means that they are in the span of the columns of a. 2 4 3 2 1 3 5 can be written as 2a1 + 2a2 + 0a3.

To determine whether a given vector is in the span of columns of a matrix, we need to check whether that vector can be expressed as a linear combination of the columns of the matrix.

Let's assume that matrix a has the following columns:

a = [ 1 2 3

2 4 3

3 6 5

4 8 7 ]

For the first vector, 2 4 1 2 3 3 5, we can write it as a linear combination of the columns of a as follows:

2 4 1 2 3 3 5 = 2a1 + 2a2 - 2a3

Therefore, the first vector is in the span of the columns of a.

For the second vector, 2 4 3 2 1 3 5, we can write it as a linear combination of the columns of a as follows:

2 4 3 2 1 3 5 = 2a1 + 2a2 + 0a3

Therefore, the second vector is also in the span of the columns of a.

In both cases, we were able to express the given vectors as linear combinations of the columns of matrix a, which means that they are in the span of columns of a.

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The difference between the best and worst credit score interest rates would be = 6.24%

An interest rate is defined as the particular amount of money an individual receives for a period of time due to an investment made.

The difference between the best and the worst credit score interest rates would be to substrate the best score from the worst score.

The best interest rate score = 3.65

The worst interest rate score = 9.89

Therefore the difference = 9.89 - 3.65 = 6.24 %

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The probability distribution of X is given as P(x) = 1/4m, 2/4m, 3/4m, and 4/4m for values of x = 1, 2, 3, and 4 respectively.

To find m, we can use the fact that the sum of all probabilities in a distribution must equal 1.

So, we can set up the equation:

1/4m + 2/4m + 3/4m + 4/4m = 1

Simplifying the equation gives us:

10/4m = 1

Multiplying both sides of the equation by 4m gives us:

10 = 4m

Finally, we can solve for m by dividing both sides of the equation by 4:

m = 10/4

m = 2.5

As a decimal rounded to one decimal place, m = 2.5.

So, the probability distribution of X is P(x) = 1/10, 2/10, 3/10, and 4/10 for values of x = 1, 2, 3, and 4 respectively.

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Dawn will raise amount  $108 for her school.

Dawn is raising money for her school in a jog-a-thon. She will get three dollars for every lap she completes. To calculate how much money she will raise for her school, we need to know how many laps Dawn completed. If it takes 36 laps to jog a mile, and Dawn jogged a total of 3 miles, then Dawn completed 108 laps. To calculate how much money Dawn raised for her school, we multiply the number of laps (108) by the amount she earns for each lap (3 dollars). This means that Dawn raised amount $108 for her school.

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Answer:

576

Step-by-step explanation:

48 {[2 x (1 + 3)] + 4}​

48 ((2x4)+4)

48(8+4)

48 x 12

= 576

Answer:

128

Step-by-step explanation:

you do 16 x 16 (256) and then divide it by 2

Answer:

-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2

Step-by-step explanation:

-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2

Answer:(3,-1)

Step-by-step explanation:

Answer:

\(k\le \:-18\)

Step-by-step explanation:

First, you add 66 to both sides so then the equation you are trying to solve will be: \(k-66+66\le \:-84+66\)

Finally, you simplify and get: \(k\le \:-18\)

Hope this helped!

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

Answer: 11/2

Step-by-step explanation:

to rewrite as mixed number you multiply the whole number by the denominator and add that to the numerator and get 55/10, then simplify it to 11/2 easy. also for decimal its jus 5.5

The other form to write 2 5/10 is 52/10.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

We have mixed fraction as 2 5/10.

Now, to write the mixed fraction into normal we must follow:

Numerator = Divisor x Quotient+ Remainder

Here, Divisor= 10, Quotient = 2 and Remainder= 5

So, the Normal Fraction is

= ( 10 x 5 +2)/ 10

= 52/10

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Answer:

Step-by-step explanation:

P=2K

50K+75P=1200, using P from above makes this equation become

50K+75(2K)=1200

50K+150K=1200

200K=1200

K=6, since P=2K

P=2(6)=12

So 12 puppies and 6 kittens were adopted.

Answer:

Simplify the expression.

13 x − 6

hope this helps

Answer:

2 eggs

Step-by-step explanation:

Mean is average, so add all the numbers together then divide by how many numbers there are.

3 + 3 + 2+ 3 + 1 + 2 + 1 + 1 = 16

16 ÷ 8 = 2

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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Answer:

402

Step-by-step explanation:

The standard formula for the nth term of an arithmetic sequence is:

t + (n - 1)d

where t is the first term and d is the common difference. We can substitute to create a system of equations to solve for the first term and common difference:

22 = t + (5 - 1)d

62 = t + (15 - 1)d

22 = t + 4d

62 = t + 14d

We can use elimination to cancel out t:

62 = t + 14d

-( 22 = t + 4d )

40 = 10d

d = 4

Now, we can substitute the common difference to find the first term:

22 = t + 4*4

22 = t + 16

t = 6

Lastly, we can substitute values in the first equation to find the 100th term:

a100 = t + (n - 1)d

a100 = 6 + (100 - 1)(4)

a100 = 6 + (99)(4)

a100 = 6 + 396

a100 = 402

Answer:

D

Step-by-step explanation:

plug in the x values each time and solve for f(x) which is also known as the y value.

f(x)=y

Answer:

D?

Step-by-step explanation:

Answer: r=C2π=22·π≈0.31831

Hope this helps!

The measure of the smaller interior angle is x = 36 degrees, and the measure of the larger interior angle is 4x = 144 degrees.

Let's assume that the measure of one interior angle of the parallelogram is x. Then, according to the problem statement, the measure of another angle would be 4x (since it is 0.25 times the measure of the first angle).

Now, we know that opposite angles in a parallelogram are congruent (they have the same measure), so the other two interior angles of the parallelogram would also have measures x and 4x.

The sum of the measures of the interior angles of a parallelogram is always equal to 360 degrees, so we can write:

x + 4x + x + 4x = 360

Simplifying this equation, we get:

10x = 360

Dividing both sides by 10, we obtain:

x = 36

Therefore, the measure of the smaller interior angle is x = 36 degrees, and the measure of the larger interior angle is 4x = 144 degrees.

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Answer:

Ошйжй Щ отдйдй шубу Ц дцдць о о

Step-by-step explanation:

Answer: x∈(-∞,-2√6-2)U(2√6-2,+∞)

Step-by-step explanation:

\(\displaystyle\\y=\frac{1}{4} (x+2)^2-6\\y > 0\\Hence,\\\frac{1}{4}(x+2)^2-6 > 0 \\\\\frac{1}{4}(x+2)^2-6+6 > 0+6\\\\\frac{1}{4}(x+2)^2 > 6\\\)

Multiply both parts of the equation by 4:

\((x+2)^2 > 24\)

Extract the square root of both parts of the inequality:

\(|x+2| > \sqrt{24} \\|x+2| > \sqrt{4*6} \\|x+2| > 2\sqrt{6}\)

Expand the modulus - we get a set of inequalities:

\(\displaystyle\\\left [{{x+2 > 2\sqrt{6}\ \ \ \ (1) } \atop {-(x+2) > 2\sqrt{6} \ \ \ (2)}} \right.\\\)

Multiply both parts of inequality (2) by -1 and reverse the sign of the inequality:

\(\displaystyle\\\left [ {{x+2-2 > 2\sqrt{6}-2 } \atop {x+2 < -2\sqrt{6} }} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x+2-2 < -2\sqrt{6} -2}} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x < -2\sqrt{6}-2 }} \right.\)

Thus,

\(x\in(-\infty,-2\sqrt{6}-2)U(2\sqrt{6} -2,+\infty)\)

Answer:

There is nothing here

Step-by-step explanation:

Answer:

Step-by-step explanation:

a , b & c

Obelus is an alternative name for the mathematical symbol known as the division sign.

The obelus symbol (÷) is commonly used to represent division in mathematics. It consists of a horizontal line with a dot above and below it. The obelus is often used in arithmetic operations to indicate the quotient of two numbers or the division of a quantity into equal parts. For example, the expression 10 ÷ 2 can be read as "10 divided by 2" or "the quotient of 10 and 2." The obelus symbol is widely recognized and understood as a symbol for division in mathematical contexts.

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Answer:

148.79 - 54.78 + 308.92 - 10 = 392.93

Step-by-step explanation:

Writing a check means taking away money, depositing a check adds money.

In this problem, we are given a function g(x) and asked to evaluate limits and determine its continuity at certain points. We need to find the limits lim g(x) as x approaches 2 and lim g(x) as x approaches 1, and then use the definition of continuity to determine if g(x) is continuous at x = 1 and x = 2.

(a) To find the limits, we substitute the given values of x into the function g(x) and evaluate the resulting expression.

(i) lim g(x) as x approaches 2: We substitute x = 2 into the expression and evaluate it.

(ii) lim g(x) as x approaches 1: We substitute x = 1 into the expression and evaluate it.

(b) To show that g is continuous at x = 1, we need to verify that the limit of g(x) as x approaches 1 exists and is equal to g(1). We evaluate lim g(x) as x approaches 1 and compare it to g(1). If the two values are equal, we can conclude that g is continuous at x = 1.

(c) To determine if g is continuous at x = 2, we follow the same process as in (b). We evaluate lim g(x) as x approaches 2 and compare it to g(2). If the two values are equal, g is continuous at x = 2; otherwise, it is not continuous.

By evaluating the limits and comparing them to the function values at the respective points, we can determine the continuity of g(x) at x = 1 and x = 2.

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Answer:

i may be wrong but i thinks its A

Step-by-step explanation:

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Answer:

12:32

Step-by-step explanation:

there are twelve triangles n-32 total shapes