d. A bag of fertiliser is made up of nutrients: nitrogen, phosphorus and potassium in the ratio 3:1:2. If the bag of fertiliser contains 14 kg of phosphorus, calculate how much nitrogen it contains. [3]​

Answer:

Step-by-step explanation:

[tex]-3x^2-7x-9=F(x)[/tex]

[tex]F(-5)=-75+40-9=-49[/tex]

[tex]F(2)=-12-14-9=-35[/tex]

[tex]f(-5)+f(2)=-49-35=-84[/tex]

Answer:

Area=length×width

11.4×11.4=129.96

so the area is 129.96

Hope this helps!

length= 11.4 in

the area of the given figure.

[tex]a = l \times l \: or \: l {}^{2} [/tex]

[tex]a = {11.4}^{2} [/tex]

[tex]a = 129.96 \: {in}^{2} [/tex]

therefore, the area of the square is 129.96 square inches.

Answer:

They are equal

Make them into mixed numbers

10/4 = 2 2/4 you can put this into its simplest form so 2 1/2

5/2 = 2 1/2

Answer:

3/8

Step-by-step explanation:

There was 4/8 (or 1/2) of the pepperoni pizza left, and there was 7/8 of the sausage pizza left. To find out how much more sausage pizza was left than pepperoni pizza, you have to subtract the amount of pepperoni pizza remaining from the amount of sausage pizza remaining.

sausage pizza left - pepperoni pizza left = how much more sausage pizza than pepperoni pizza is left

Now, let's fill in the numbers.

7/8 - 4/8 = ?

7/8 - 4/8 = 3/8

Therefore, there was 3/8 more sausage pizza than pepperoni pizza left.

I hope this helps! Have a lovely day!! :)

Answer:

3/8

Step-by-step explanation:

So there is 7/8 sausage left and 4/8 pep left. The difference between the two is three slices (7/8 - 4/8) which is 3/8th of the whole pizza. This means that 3/8 represents the amount of pizza sausage has that pepperoni doesnt

Answer:

Step-by-step explanation:

Each of the transformations can be written in terms of what they do to the coordinates:

  (x, y) ⇒ (-y, x) . . . . . . rotation 90° CCW

  (x, y) ⇒ (x -7, y-8) . . . . translation 7 left and 8 down

__

Together, these transformations result in the composite transformation ...

  (x, y) ⇒ (-y -7, x -8)

The end values of the original points are then ...

  M(1, -2) ⇒ M"(-(-2) -7, 1 -8) = M"(-5, -7)

  N(5, -2) ⇒ N"(-(-2) -7, 5 -8) = N"(-5, -3)

  O(5, -7) ⇒ O"(-(-7)-7, 5 -8) = O"(0, -3)

_____

Additional comment

You can get an idea of what the 90° rotation looks like by printing the figure and turning it 1/4 turn counterclockwise. The points will have the same relative locations with respect to the axes. Effectively, you are relabeling the x-axis to y, and the -y axis to x. (That is what the 90° CCW transformation formula is telling you.)

Alternatively, you can turn your head sideways when you look at the computer screen.

In the attachment, the black arrow represents the translation vector, 7 left and 8 down.

Answer:

0.0108

Step-by-step explanation:

3.6 multiplied by 0.003

1. First you write down the numbers one on top of the other

0.003

x   3.6

-----------

2. Multiply 6 by all the numbers in 0.003

0.003

x   3.6

-----------

  0018

3. Multiply 3 by all the numbers in 0.003. But because "3" is followed by a number you leave a blank or a zero in the ones place

0.003

x   3.6

---------------

     0018

+ 00090

---------------

4. Add the numbers you got

0.003

x   3.6

---------------

     0018

+ 00090

---------------

   00108

5. Count the number of decimal points or numbers after the decimal point in both numbers and add them

3.6 = one decimal place

0.003= three decimal places

Three plus one = four

6. Count the total number of decimal places

0010.8 = one decimal place

001.08 = two decimal places

00.108 = three decimal places

0.0108 = four decimal places

Answer:

60 degrees and 119 degrees

if the smaller angle is x, then

x + 2x - 3 = 180

3x -3 + 3 = 180 + 3

3x/3 = 183/3

x=61

2(61) - 3 = 119

Answer:

heya! ^^

given that ,

25 workers together complete a certain piece of work in 48 days.

here , we've to find the number of days in which 20 workers can complete the same work ~

_____________________________

so let's start ~

★ 25 workers complete the work in = 48 days

★ 1 worker will complete the work in = 25 × 48 days

now ,

29 workers will complete the work in =[tex] \frac{\cancel{25} \times 48} {\cancel{20}} \: \: days \\ \\ \dashrightarrow \: \frac{5 \times \cancel{48}}{\cancel{4}} \\ \\ \dashrightarrow \: 5 \times 12 \\ \\ \dashrightarrow \: 60 \: days[/tex]

hope helpful :D

Answer:

60 days

Step-by-step explanation:

Thing to Remember

Solving

Answer:

x=3

Step-by-step explanation:

3x+1+15

/2

= 12.5

Answer:

Answer is √2+11/2

And you can use calculator to get even more accurate answer though...

Step-by-step explanation:

this is what i get i hope this will hepl you ♡

Answer:

1 glass - 189 mm

thn 36 - 189 x 36

6804mm - 0.6 littre is holded by 36 glass

Answer:

Length can be 14 - 10 inches

Width can be 10 - 14 inches

Answer:

it is very high because

Step-by-step explanation:

5-2+3 so maybe it a subtraction problem hope this works

The inverse of the matrix [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex] is represented by the matrix [tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex].

A matrix A has an inverse matrix if and only if its determinant is different than 0. Given that we have a matrix formed by 2 rows and 2 columns, we can obtain the following inverse matrix by using the following formula:

[tex]\vec A ^{-1} = \frac{1}{\det (\vec A)} \cdot adj (\vec A)[/tex]   (1)

Where [tex]adj (\vec A)[/tex] is the adjoint of the matrix, which is the transposed of the cofactor matrix.

If we know that [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex], then the inverse of the matrix is determined below:

[tex]\det (\vec A) = -2[/tex]

[tex]adj (\vec A) = \left[\begin{array}{cc}4&-2\\-3&1\end{array}\right][/tex]

[tex]\vec A^{-1} = -\frac{1}{2}\cdot \left[\begin{array}{cc}4&-2\\-3&1\end{array}\right][/tex]

[tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex]

The inverse of the matrix [tex]\vec A = \left[\begin{array}{cc}1&2\\3&4\end{array}\right][/tex] is represented by the matrix [tex]\vec A^{-1} = \left[\begin{array}{cc}-2&1\\\frac{3}{2} &-\frac{1}{2} \end{array}\right][/tex]. [tex]\blacksquare[/tex]

To learn more on matrices, we kindly invite to check this verified question: https://brainly.com/question/11367104

Answer: A sequence is a type of function. Remember, a function is any formula that can be expressed in "f(x) = x" format, but a sequence only contains integers at or greater than zero.

Hope this helps! Have a good day! :)

Answer:

Im 98% sure its the first one

Step-by-step explanation:

Answer:

188 m²

Step-by-step explanation:

The formula to find the surface area of a rectangular prism/cuboid: [tex]A = 2(lw + lh + wh)[/tex], where [tex]l[/tex] is the length, [tex]w[/tex] is the width and [tex]h[/tex] is the height.

1) Plug the values into the formula.

[tex]A = 2((7(6)) + ((7)(4)) + ((4)(6)))[/tex]

2) Solve it.

[tex]A = 2(42 + 28 + 24)\\A = 2(94)[/tex]

A = 188 m²

Step-by-step explanation:

[tex] \tan(31) = \frac{x}{33} \\ x = 33 \tan(31) \\ x = 19.82840042791 \\ x = 19.83[/tex]

Answer:

x = 19.8

Step-by-step explanation:

You want to use tangent, since you are trying to find the opposite side and know the adjacent side to the angle.

tan = opposite/adjacent

31tan = x/33

Multiply both sides by 33

33(31tan) = (33) x/33

33(31tan) = x

Find the tan of 31° using a scientific calculator.

tan 31° is about 0.6

Solve for x

33(0.6) = x

x = 19.83

rounded to the the nearest tenth

x = 19.8

Answer:

61.4-67.6 - 68.37% likely to fall within this range.

58.3-70.7 - 95.45% likely to fall within this range.

55.2-73.8 - 99.73% likely to fall within this range.

Step-by-step explanation:

I think the answer is 30km^2

1/2 ×4 × 15 = 30

Step-by-step explanation:

Answer: its d

Step-by-step explanation:

[tex]~~~~~~x + 42^{\circ} + 97^{\circ} =180^{\circ}\\ \\\implies x = 180^{\circ} - 42^{\circ} - 97^{\circ}\\\\\implies x = 41^{\circ}[/tex]

Step-by-step explanation:

or , x + 97° + 42° = 180° ( the sum of interior

angle of triangle is 180° )

or , x + 139° = 180°

or , x = 180° - 139°

x = 41°

Answer:

y = 3/2x - 9

Step-by-step explanation:

Finding equation of line m

Equation of line n

Answer:

[tex]\textsf{Equation of line n}:\quad y=\dfrac32x-9[/tex]

Step-by-step explanation:

Equation of line m

If two lines are perpendicular to each other, the product of their slopes will be -1.

The slope of the line [tex]y=-\dfrac23x+6[/tex] is [tex]-\dfrac23[/tex]

Therefore, the slope of the line m is:

[tex]\implies m \times -\dfrac23=-1[/tex]

[tex]\implies m=\dfrac32[/tex]

If line m passes through point (-2, -1), then the equation of line m is:

[tex]\implies y-(-1)=\dfrac32(x-(-2))[/tex]

[tex]\implies y+1=\dfrac32(x+2)[/tex]

[tex]\implies y=\dfrac32x+2[/tex]

Equation of line n

If line n is parallel to line m, then they will have the same slope.

Therefore, slope of line n is [tex]\frac32[/tex]

If line n passes through point (4, -3), then the equation of line n is:

[tex]\implies y-(-3)=\dfrac32(x-4)[/tex]

[tex]\implies y+3=\dfrac32x-6[/tex]

[tex]\implies y=\dfrac32x-9[/tex]

Answer:

M=33/8

Step-by-step explanation:

Answer:

M+4 7/8 =9

Step-by-step explanation:

Answer:

C. (5 , 6)

Step-by-step explanation:

a dilation of center O(0,0) and 3 as a scale factor :

Transform point (x , y) to point (3x , 3y)

Then it transforms R(1 , 2) to R’(3 , 6)

Now ,we translate R’(3 , 6) by the translation (x , y) ——-> (x+2 , y)

So , R’(3 , 6) ————> R’’(3+2 , 6)

Answer:

[tex](i+2)^4[/tex]

Step-by-step explanation:

assuming the equation is [tex](\sqrt{2+i})^8[/tex] this simplifies to [tex](i+2)^4[/tex] where i =[tex]\sqrt{-1}[/tex]

Step-by-step explanation:

[tex]( \sqrt{2 + i} ) {}^{8} = (2 + i) {}^{ \frac{1}{2} \times8 } [/tex]

[tex](2 + i) {}^{4} [/tex]

Split this up

[tex](2 + i) {}^{2} \times (2 + i) {}^{2} [/tex]

Use the Perfect Square Trinomial

[tex](a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

[tex](2 { }^{2} + 2(2)i + {i}^{2} )(2 {}^{2} + 2(2)i + {i}^{2} [/tex]

[tex] {i}^{2} = - 1[/tex]

so

[tex](3 + 4i)(3 + 4i)[/tex]

[tex]9 + 24i - 16[/tex]

[tex] - 7 + 24i[/tex]