THIS IS URGENT! PLZ HELP!

The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.

Let's calculate the fraction of the plot of land that is not occupied by the flowers.

Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.

After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.

Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.

Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.

To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:

1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.

Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.

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The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.

Given that

Dimension of matrix  = 7×5

Rank of matrix = 4

The range space of A,

Which is a subspace of R, is known as R(A).

It is made up of all conceivable linear combinations of A's columns.

The dimension of R(A) =  rank of A,

Which is 4 in this case.

The null space of the transpose of A,

Which is also a subspace of R, is designated as N(AT).

All potential answers to the equation ATx = 0,

Where x is a R column vector, are included in it.

N(AT) has a dimension = nullity of A,

which in this case is 3 in this example.

The range space of the transposition of A, is designated as R(AT).

The rows of A are arranged in all conceivable linear configurations.

The rank of A = 4

Thus it equal to dimension of R(AT).

N(A) is the null space of A.

Axe = 0, where x is a column vector in R, are included in it.

The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).

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Answer: 6

Step-by-step explanation:

(-4 + 7) x (-4 - 7)

 \/ \/

 possitive 3 possitive 3

 3x3= 6

Check the picture below.

\(\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=\cos(C)\implies \cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] ~\dotfill\\\\ \cos^{-1}\left(\cfrac{10^2+4^2-7^2}{2(10)(4)}\right)=\measuredangle A \implies \cos^{-1}\left(\cfrac{ 67 }{ 80 }\right)=\measuredangle A \\\\\\ \cos^{-1}(0.8375) = \measuredangle A \implies 33.12^o \approx \measuredangle A\)

Make sure your calculator is in Degree mode.

Answer:

Eve is 46 and her son is 23

Step-by-step explanation:

let x be the son's age then Eve is 2x. the difference in their ages is 23 , so

2x - x = 23 , that is

x = 23

then

Eve = 2 × 23 = 46 years

son = 23 years

Answer:

The fourth option i.e. 'no solution' is correct.

Step-by-step explanation:

Given the system of equations

\(\begin{bmatrix}\frac{2}{3}x+y=6\\ -\frac{2}{3}x-y=2\end{bmatrix}\)

Adding both equations

\(-\frac{2}{3}x-y=2\)

\(+\)

\(\underline{\frac{2}{3}x+y=6}\)

\(0=8\)

so the system of equations becomes

\(\begin{bmatrix}\frac{2}{3}x+y=6\\ 0=8\end{bmatrix}\)

0 = 8 is FALSE!

Therefore, the system of equations has no solution.

Thus,

No Solution!

Hence, the fourth option i.e. 'no solution' is correct.

Answer:

See below

Step-by-step explanation:

As a result, the particle's velocity changes as time passes. It is -4/a³ m/s at time t = a, -4 m/s at time t = 1, -0.5 m/s at time t = 2, and -0.15 m/s at time t = 3.

A mathematical equation, such as 6 x 4 = 12 x 2, states that two numbers or values are equivalent. a meaningful noun. When several or even more components need to be taken into account simultaneously in order to comprehend or describe the entire situation, an equation is used.

The derivatives of the displacing equation with time as a parameter is the particle's velocity.

v = ds/dt = d/dt (2/t²) = -4/t³

As a result, the particle's velocity at times t = a, t = 1, t = 2, and t = 3 is as follows:

v(a) = -4/a³

v(1) = -4/1³ = -4 m/s

v(2) = -4/2³ = -0.5 m/s

v(3) = -4/3³ = -0.15 m/s

The particle's velocity consequently varies over time. It is -4/a³ m/s at time t = a, -4 m/s at time t = 1, -0.5 m/s at time t = 2, and -0.15 m/s at time t = 3. Due to the fact also that velocity is negative for any and all values of t, the particle is travelling in the reverse way (i.e., to the left).

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The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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On simplifying the geometric series, the value for common ratio is obtained as option D: r = 5/2.

What is geometric series?

A geometric series is a collection of terms in mathematics that have an unlimited number and a fixed ratio between each term. A geometric series is typically expressed as a + ar + ar² + ar³ + ..., where r is the common ratio between neighbouring terms and a is the coefficient of each term.

To find the common ratio of a geometric sequence, we need to divide any term in the sequence by the previous term.

Let's use the second and first terms of the given sequence -

r = 15/6

Simplifying the right-hand side, we get -

r = 5/2

r = 2.5

Now use the third and second terms of the given sequence -

r = (75/2) / 15

Simplifying the right-hand side, we get -

r = (75/2) × (1/15)

r = 5/2

r = 2.5

Therefore, the common ratio of the given geometric sequence is 2.5 or 5/2.

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r = 0, s = 1

The lines are neither parallel nor perpendicular

The given equations are:

2r + 6s = 6........(1)

6r + 2s = 2........(2)

Multiply equation (1) by 3

6r + 18s = 18........(3)

Subtract equation (2) from equation (3)

16s = 16

s = 16/16

s = 1

Substitute s = 1 into equation (2)

6r + 2(1) = 2

6r + 2 = 2

6r = 2 - 2

6r = 0

r = 0/6

r = 0

Make r the subject of the formula in equation (1)

2r = -6s + 6

r = -3s + 6

The slope of the line represented by equation (1) = -3

Make r the subject of the formula in equation (2)

6r = -2s + 2

r = (-2/6)s + (2/6)

r = (-1/3)s + 1/3

The slope of the line represented by equation (2) = -1/3

As seen above, the slope are not equal and are not negative inverses of each other. therefore, the lines are neither parallel nor perpendicular

Question:

Solution:

Consider the following function:

The number of times a given factor appears in the factored form of the equation of a polynomial is called multiplicity.

The zero that is associated with the factor (x-1) is x=1 and it has multiplicity 2 because the factor (x-1) occurs twice.

Now, the zero that is associated with the factor (x+3) os x= -3, and it has multiplicity 3 because the factor (x+3) occurs three times.

Now, the graph of this function is:

According to this graph, we can conclude that the graph of the function will touch, but not cross, the x-axis at an x-value of x= 1.

So that, we can conclude that the correct answers are:

The zero located at x = 1 has a multiplicity of 2.

The zero located at x=-3 has a multiplicity of 3.

The graph of the function will touch, but not cross, the x-axis

at an x-value of​ 1.

Answer:

WR ≈ 13.862

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

WR² + RT² = WT²

WR² + 12.1² = 18.4²

WR² + 146.41 = 338.56 ( subtract 146.41 from both sides )

WR² = 192.15 ( take the square root of both sides )

WR = \(\sqrt{192.15}\) ≈ 13.862 ( to the nearest thousandth )

The division of the value 8.8x10^9 and 2.2 x10^-3 in standard form is 4*10^12.

The concept that will be used here is division. One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

To simplify the values 8.8x10^9/2.2 x10^-3, the we can write as

8.8/2.2 *10^9*10^3

=4*10^12

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complete question:

simplify 8.8x109/2.2 x10-3

Answer:

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Step-by-step explanation:

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Answer:

Surface area = 804m^2

Answer:

(j/3)+5

thats the answer

We are given an equation

2(4x - 9) = 14

To solve for x

Firstly, we need to open the parenthesis

2 *4x - 2*9 = 14

8x - 18 = 14

Collect the like terms

8x = 18 + 14

8x = 32

Divide both sides by 8

8x/8 = 32 / 8

x = 32/8

x = 4

The answer is 4

Answer: The answer provided is based on the following calculation:

To make a 75% syrup, Ella should add enough water to the sugar to create a solution that is 25% sugar and 75% water.

To calculate how much water to add, you can use the formula: (desired % of sugar) / (100 - desired % of sugar) * (amount of sugar).

In this case, it would be: (0.75) / (100 - 0.75) * (0.5 lb) = 0.67 lb of water.

To calculate the total amount of syrup, you add the amount of sugar and the amount of water: 0.5 lb + 0.67 lb = 1.17 lb.

So Ella should add 0.67 lb of water to make a 75% syrup and will have a total of 1.17 lb syrup.

Step-by-step explanation:

Answer:

for the 75% syrup: 0.167lbs

For the 1.5% syrup: 32.83 lbs

Answer:

-2 1/3+ -11/6 = 4.1666666666666 repeating

Step-by-step explanation:

brainlest plz

Answer:

\( - 4 \frac{1}{6} \)

Step-by-step explanation:

To find the total change you gotta add the 2 results throughout the 2 years together so...

\( - 2 \frac{1}{3} + \frac{ - 11}{6} \)

and if we work this out we'll get

\( - 4 \frac{1}{6} \)which is the total change in the water level over the past 2 years

hope this helped- have a good day bro cya)

Answer:

They are equivalent.

Step-by-step explanation:

Step-by-step explanation:

-2x - 4 + 5y = 8

-2x + 5y = 8 + 4

-2x + 5y = 12

Hope this helps.. Good luck :)

Answer:

Step-by-step explanation:

You have ONE equation here in TWO unkowns.  You can solve for either x or y but not both.  Only if you have a system of TWO equations can you find the values of x and y that satisfy both equations.

-2x - 4 + 5y = 8 is to be solved for y:

Add 4 to both sides to combine the constant terms:

-2x + 5y = 12

To solve for y, add 2x to both sides, obtaining:

5y = 2x + 12

and then divide all three terms by 5:

y = (2/5)x + 12/5

-2x - 4 + 5y = 8 can also be solved for x if desired.

Answer:

42 Units :)

Step-by-step explanation:

Answer:

B.42 on EDGE2022

Step-by-step explanation:

Answer:

X=4

Step-by-step explanation:

distribute the 4 to the ones in the parenthesis

-4x+28=12

move the 28 over and change the sign

-4x=-16

divide by -4

x=4

The hyperbola (y + 3)²/9 − (x − 2)²/2 = 1 has a center of (2, -3)

This is a pair that is formed when planes intersect

The equation of the hyperbola is given as

(y + 3)²/9 − (x − 2)²/2 = 1

The formula of a hyperbola is represented as

(y - k)²/a² − (x − h)²/b² = 1

Where the center is (a, b) and the lengths of the axes are variables a and b

Also, we have:

The coordinates of the center of the hyperbola is

Center = (h, k)

Next, we compare the equations

(y - k)²/a² − (x − h)²/b² = 1 and (y + 3)²/9 − (x − 2)²/2 = 1

From the comparison, we have

(h, k) = (2, -3)

This means that the center is (2, -3)

Hence, the coordinates of the center are (2, -3)

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Answer:

Step-by-step explanation:

The first step in evaluating the expression is to perform the calculations inside the parentheses. This involves subtracting 3.6 from 7.4.

Step 1: Evaluate the expression inside the parentheses.

7.4 - 3.6 = 3.8

After evaluating the expression inside the parentheses, the expression becomes:

12 ÷ 3.8 + 8 - 2

Step 2: Perform the division.

12 ÷ 3.8 = 3.158

After performing the division, the expression becomes:

3.158 + 8 - 2

Step 3: Perform the addition and subtraction from left to right.

3.158 + 8 = 11.158

11.158 - 2 = 9.158

Therefore, the value of the given expression is approximately 9.158.

The first step is:

Work/explanation:

The expression is:

12 ÷ (7.4 − 3.6) + 8 − 2

Let's recall the order of operations first:

So we evaluate

\(\sf{12\div(7.4-3.6)+8-2}\)

\(\sf{12\div3.8+8-2}\)

Next, division:

\(\sf{3.158+8-2}\)

Next, addition & subtraction:

\(\sf{9.158}\)

Answer:

x = 12

Step-by-step explanation: