Which of the rectangles below have an area of 18 cm²?
5 cm
C
3 cm
A
6 cm
4 cm
↑
2 cm
B
9 cm
9 cm
D
◄2 cm

Answer:

(4)

Step-by-step explanation:

you times the thing by the thing and then go boom because 3 x 4 - 2 = 10 ez ez gg

Answer:

Why do you need a step by step

Step-by-step explanation:

This simple proportion equation will result to 592

In mathematics, a proportion is a statement that two ratios or fractions are equal. It expresses the relationship between two quantities or sets of quantities that are proportional or have a constant ratio to each other.

For example, the statement "2/3 = 4/6" is a proportion, which means that the ratio of 2 to 3 is the same as the ratio of 4 to 6. This proportion can be simplified by dividing both sides by 2, giving "1/3 = 2/3", which means that one-third is equal to two-thirds.

Proportions are commonly used in various fields such as finance, science, and engineering to solve problems related to scaling, measurement, and comparison.

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Answer:

Your answer would be

X^2-7

Step-by-step explanation:

Hope it helps .

Good luck .

Answer:

Step-by-step explanation:

Answer:

-75°

Step-by-step explanation:

-30°+-30°+-15°

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Answer:

4x^2 - 10x + 1 units

Step-by-step explanation:

(3x - 1) + (x + 2) + (3x^2 - 11x) + (x^2 - 3x)

Adding like terms:

3x^2 + x^2         = 4x^2

-11x - 3x + 3x + x    = -10x

-1 + 2            = 1

Summing it up; the perimeter is
4x^2 - 10x + 1 units

Answer:

The Cubic Polynomial given here is

x³ - x² - x -3 =0

Rational root theorem :

Consider any polynomial

\(→ Ax^n +A_{1}x^{n-1}+A_{2}x^{n-2}+.................+A_{n}=0Axn+A1xn−1+A2xn−2+.................+An=0\)

So, the factors of this polynomial is those number which divides An/A which are ±1, An/A.

Applying the same method the number which divides (-3) are,-3,+3,-1,+1. So By rational root theorem all the factors of this cubic polynomial is 3,±1,±3 .

Answer:

-3, -1 , 1, 3

Step-by-step explanation:

Constant factors: 1, -1, 3, -3

Coefficient factors: 1, -1

Answer:

T = 250 + 15g

Step-by-step explanation:

T = total fees

250 = base price

15g = $15 cost per game

Answer:

Length of side = 14.7 cm

Perimeter = 58.7 cm

Step-by-step explanation:

Find the root of 215 to find the side length.

It is about 14.7 cm.

Then, multiply the length of the side by 4 to find the perimeter.

For the first part, the number of license plates is: 65,780,800 and for the second part, the number of license plates with 3 consecutive digits is: 16,524,288.

If there are no restrictions on where the digits and letters are placed, the number of 8-place license plates consisting of 5 letters and 3 digits with no repetitions allowed can be found using the permutation formula:

nPr = n! / (n-r)!

where n is the number of available characters (26 letters and 10 digits) and r is the number of characters needed for the license plate (8).

Therefore, the number of license plates is:

(26 P 5) x (10 P 3) = (26!/21!) x (10!/7!) = 65,780,800

If the 3 digits must be consecutive, there are 8 possible positions for the block of digits (either the first 3, second 3, or last 3). Once the position of the block is chosen, the number of license plates can be found by counting the number of ways to arrange the letters and the block of digits. The number of ways to arrange the letters is 26 P 5, and the number of ways to arrange the block of digits is 10 (since there are only 10 possible sets of consecutive digits).

Therefore, the number of license plates with 3 consecutive digits is:

8 x (26 P 5) x 10 = 16,524,288

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The complete question goes thus:

If there are no restrictions on where the digits and letters are placed, how many 8

-place license plates consisting of 5

letters and 3

digits are possible if no repetitions of letters or digits are allowed? What if the 3

digits must be consecutive?

Answer:

Sorry for the late notice but I

Answer:

6x-1

Step-by-step explanation:

I dont know  how to explain but it is correct

Answer:

6x – 1

Step-by-step explanation:

Answer:

Its 0

Step-by-step explanation:

Hope this helps!

Answer:

6 hours

Step-by-step explanation:

25% = 0.25

24 times 0.25 =  6 hours

So, you spend 6 hours a day sleeping.

Each side of the playground is 10\(\sqrt{2}\) m.

We know that in a square,

                               d = \(\sqrt{2}\) a

            where, d = diagonal of the square

                         a = side of the square

Now, according to the question the walkway forms a diagonal and is 20 meters long.

  So, d = 20 m

        a = ?

          d = \(\sqrt{2}\) a

        20 =   \(\sqrt{2}\) a

          a  =  20/ \(\sqrt{2}\)

              =  \(\frac{10\sqrt{2}*\sqrt{2} }{\sqrt{2}}\)

              = \(10\sqrt{2}\)

Hence, the side of the playground is \(10\sqrt{2}\) meters long.

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Answer: -1.56i^ +1.07j^

Step-by-step explanation:Vector C = -1.56i^ +1.07j^

This question requires that we use the properties of the scalar product of two vectors to find the required x and y component.

The dot product of two perpendicular vectors is equal to and the product of two vectors that are not parallel is equal to a nonzero value.

These are the properties that have been used in solving this problem alongside solving the simultaneous questions generator.

Explanation:

The full solution can be found in the attachment below.

Thank you for reading and I hope this post is helpful to you.

Answer:

\(2x^5+3x^2+3\) is a trinomial having with:

Step-by-step explanation:

Considering the trinomial

\(2x^5+3x^2+3\)

It is clear that '5' is the highest power of the 'x' variable. so, the polynomial has a degree of 5.

'3' is the constant term. The reason is that any term with no variable is called a 'constant' term. So, '3' is the constant term.

Therefore, \(2x^5+3x^2+3\) is a trinomial having with:

The  y --> ∞ (larger value) or y --> -∞ (smaller value) as x approaches 7 from the positive side.

When a rational function has a vertical asymptote at x = 7, it means that the function approaches either positive infinity (∞) or negative infinity (-∞) as x gets closer and closer to 7 from the positive side.

To determine whether the function approaches a larger or smaller value, we need to consider the behavior of the function on either side of the asymptote.

As x approaches 7 from the positive side (x --> 7+), if the function values increase without bound (go towards positive infinity), then y --> ∞ (larger value). On the other hand, if the function values decrease without bound (go towards negative infinity), then y --> -∞ (smaller value).

Therefore, as x approaches 7 from the positive side, the function y = r(x) either goes towards positive infinity (larger value) or negative infinity (smaller value).

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z does not necessarily lie between x and y on the number line.

In order to determine if z lies between x and y on the number line, we need to compare the distances between these points.

Statement 1: xyz < 0

This statement does not provide any direct information about the relative positions of x, y, and z on the number line. It only indicates that the product of x, y, and z is negative. However, this does not give us any information about the specific values or their positions on the number line.

Statement 2: xy < 0

This statement tells us that the product of x and y is negative. This means that x and y have opposite signs, indicating that they lie on opposite sides of zero on the number line. However, this statement still does not give us any information about the position of z relative to x and y.

Therefore, neither statement alone is sufficient to determine whether z lies between x and y on the number line.

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Answer:

Step-by-step explanation:

y - 21 = 1/7(x + 7)

y - 21 = 1/7x  + 1

y = 1/7x + 22

The equation of the line that passes through the points (-7, 21) and is parallel to the line y= 1/7x - 56 is 7y - x = 154

The standard equation of a line in point-slope form is expressed as:

\(y-y_0=m(x-x_0)\)

m is the slope of the line

(x0, y0) is any point on the line

Given the equation y = 1/7 x - 56 parallel to this line, the slope of the line m = 1/7

Substitute the slope and the point into the formula to have:

\(y-21=\frac{1}{7} (x+7)\\7(y-21) = x+7\\7y - 147 = x+ 7\\7y-x = 154\)

Hence the equation of the line that passes through the points (-7, 21) and is parallel to the line y= 1/7x - 56 is 7y - x = 154

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As the standard deviation for Sample Values and Population are different. The sample Standard Deviation is 5.196

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

Formula for standard deviation calculation is:

\(\sigma = \sqrt {\sum \frac {(X - \mu) ^ {2}}{N}}\) (Population Standard Deviation)

\(s = \sqrt {\sum \frac {(X - \bar x) ^ {2}}{n-1}}\) (Sample Standard Deviation)

\(\bar x= 19.1\)

\(\sum {(X - \bar x) ^ {2}} = 162\)

\(n-1 = 6\)

\(s = \sqrt {\sum \frac {(X - \bar x) ^ {2}}{n-1}} = \sqrt {\frac {162}{6}}\)

\(s= \sqrt 27\)

\(s= 5.196\)

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The initial amount injected is 25 milligrams and the amount injected after 8 hours is 1.02 milligrams.

Given that the number of milligram D(h) of a drug in a patient's bloodstream h hours after the drug is injected is modeled as the function given by

D(h)  = 25 \(e^{-0.4h}\).

To calculate the initial amount injected using evaluating h = 0 in the modeled function D(h)  = 25 \(e^{-0.4h}\).

That implies, D(8)  = 25 \(e^{-0.4*0}\).

D(0) = 25 \(e^{0}\).

D(0) = 25 × 1 = 25 .

Therefore, the initial amount injected is 25 milligrams.

To calculate the amount injected after 8 hours using evaluating h = 8 in the modeled function D(h)  = 25 \(e^{-0.4h}\).

That implies, D(8)  = 25 \(e^{-0.4*8}\).

D(8) = 25 \(e^{-3.2}\).

By using scientific calculator find \(e^{-3.2}\)  and substitute the value \(e^{-3.2} = 0.040762203\) in the above equation gives,

D(8) = 25 × 0.040762203 = 1.01905 .

By rounding off to the nearest hundredth gives,

D(8) = 1.02.

Therefore, the amount injected after 8 hours is 1.02 milligrams.

Hence, the initial amount injected is 25 milligrams and the amount injected after 8 hours is 1.02 milligrams.

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Answer:

7.85 x 10^-4

Step-by-step explanation:

the first value must be between 1 and 9, inclusive

in this case it would be 7.85

we had to move the decimal point 4 places to the left to make 7.85

when you move the decimal to the left then the exponent is a negative

After solving the word problem,  the change in the number of shares of stock he owns, is x-96.

In the given question we have to find  the change in the number of shares of stock he owns.

As given that Eric owns shares of a certain stock. If he sells off 8 shares each month for a year.

Let Eric owns x shares of a certain stock.

If he sells off 8 shares each months for a year.

So as we know that in a year have 12 months.

In 1 month = 8 shares sells

12 months = 12×8 shares sells

12 months = 96 shares sells

So in a year Eric sells 96 shares and he have total x shares.

So the remaining shares are x-96.

Hence, the change in the number of shares of stock he owns, is x-96.

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Answer:

1375

Step-by-step explanation:

The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

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Answer:

The Philadelphia Eagles won 6 games out of 8.

Step-by-step explanation:

Since, they won 75% of 8 games, we can simply turn the percentage into a decimal by moving the decimal place over twice, to get 0.75. The term "of" means multiplication. So, we can set up this equation:

0.75 x 8 = 6 games won.

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