Angela is following this recipe to make biscuits.
Angela uses 1.1 litres of syrup.
How much sugar is needed in kg?

Recipe: Makes 14 biscuits
110 g margarine
100 g sugar
275 ml syrup
200 g oats
50 g sultanas

Answer:

f^-1(v)=v/x-3/x

Step-by-step explanation:

The inverse of the function f(x) = [tex]\sqrt[3]{x-1} + 4[/tex] Is f⁻¹(x) =  (x - 4)³ + 1.

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

f(x) = [tex]\sqrt[3]{x-1} + 4[/tex]

y =  [tex]\sqrt[3]{x-1} + 4[/tex]

Calculate the inverse of the function as shown below,

Replace x with y,

x = [tex]\sqrt[3]{y-1} + 4[/tex]

x - 4 = [tex]\sqrt[3]{y- 1}[/tex]

Cube both sides,

(x - 4)³ = y - 1

y = (x - 4)³ + 1

Thus, f⁻¹(x) =  (x - 4)³ + 1

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Answer:

A) m=n^2+6n+16

Step-by-step explanation:

sqrt(m-7)=n+3

m-7=(n+3)^2

m-7=(n+3)(n+3)

m-7=n^2+3n+3n+9

m-7=n^2+6n+9

m=n^2+6n+9+7

m=n^2+6n+16

Answer:

I know that

Step-by-step explanation:

the point is (0,2) and the slope is 1/2

Answer:

yes u picked C thats the correct answer

Step-by-step explanation:

Answer:

y^6 z^12

Step-by-step explanation:

When the bases are the same that means that the powers on the inside can be multiplied by whatever is outside.

Hope this helps :)

Answer:

Step-by-step explanation:

Miles per hour is a speed and we usually just hear the number of how fast a car or a rocket or meteor is going. We look at our speedometer in the car and see how fast we're driving, 35mph or 73mph

But it is literally a formula. Miles on top and hours on the bottom, like a fraction. If the numbers you're given are in miles and in hours, your can just fill in the numbers and simplify.

Your numbers are also fractions, so it looks a little scary, but no worries, you can simplify it.

You have 1/2 on top and 1/16 on the bottom. A fraction bar is just a division sign, we're going to divide 1/2 ÷ 1/16 We do this by using the rule:

Keep Change Flip

1/2 Keep

___ Change

1/16 Flip

Keep the 1/2

Change ÷ to *

Flip the 1/16

So it becomes 1/2* 16/1

1/2 * 16 is 8

8 miles per hour is your answer.

If fractions are too terrifying, you could just change 1/2 to .5 and

change 1/16 to .0625

.5 ÷ .0625= 8

Answer: 8mph

Answer:

30%

Step-by-step explanation:

[tex]\frac{1020}{3400} =\frac{30}{100}[/tex]

Answer:

30%

Step-by-step explanation:

given

Total:3400

satisfied people:1020

we know that,

percent of satisfied:3400/1020x100%

=30%

Answer:

9log_b(u)+4log_b(v)

should be like that. let me know if iam wrong

Answer:

Sum of arithmetic series is [tex]2077[/tex]

Step-by-step explanation:

We have [tex]n[/tex]th term of arithmetic sequence

[tex]a+(n-1)d[/tex]

Here

[tex]a+(n-1)d=127\\\\7+(31-1)d=127\\\\d=\frac{120}{30} \\\\=4[/tex]

Sum of arithmetic sequence [tex]=\frac{n}{2} (2a+(n-1)d)[/tex]

[tex]=\frac{31}{2} (2\times7+(31-1)4)\\\\=\frac{31}{2} (14+120)\\\\=31\times67\\\\=2077[/tex]

Answer:

The sum of arithmetic series is 2077.

Step-by-step explanation:

Solution :

Here we have provided that :

We need to find :

Here's the required formula to find the sum of arithmetic series :

[tex]\longrightarrow{\pmb{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]

Substituting all the given values in the formula to find the sum of arithmetic series :

[tex]{\longrightarrow{\sf S = \dfrac{n}{2} \Big(a_1 + a_n \Big)}}[/tex]

[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(7 + 127 \Big)}}[/tex]

[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \Big(134 \Big)}}[/tex]

[tex]{\longrightarrow{\sf S = \dfrac{31}{2} \times 134 }}[/tex]

[tex]{\longrightarrow{\sf S = \dfrac{31}{\cancel{2}} \times \cancel{134 }}}[/tex]

[tex]{\longrightarrow{\sf S = 31 \times 67}}[/tex]

[tex]{\longrightarrow{\sf S = 2077}}[/tex]

[tex]\star \: {\underline{\boxed{\sf{\red{S = 2077}}}}}[/tex]

Hence, the sum of arithmetic series is 2077.

[tex]\rule{300}{1.5}[/tex]

Answer:

27 π

Step-by-step explanation:

Notice that the shape is 3/4 of a circle with radius 6. So we need to find 3/4 of the area of a circle with radius 6. The area of a circle with radius 6 is [tex]\pi r^2 = \pi \cdot 6^2 = 36\pi[/tex].

3/4 of this is [tex]\frac{3}{4} \cdot 36\pi = \boxed{27\pi.}[/tex]

Answer:

19.5  = CD

Step-by-step explanation:

The square of the tangent = the the whole secant times the outside part of the secant.

EG²= (ED)(EC)

13² = (26)(EC)

169 = 26EC

169/26 = EC

 6.5 + EC

Now  ED = EC + CD

         26 = 6.5 + CD

        26 - 6.5 = CD

           19.5  = CD

D. it is d because I said so >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    >:(    

Step-by-step explanation:

the bottom left is the right option.

just by saying "the temperature increases ..." the 2 options on the right are wrong. the line has to go up, not down.

the first graph (top left) increases too strongly, way more than just 4ft per hour.

Answer:

8.8

Step-by-step explanation:

as X1=X2

we use | Y2-Y1 |

=| 4.1 -(-4.7) |

=| 8.8 |

=8.8

Answer:B

Step-by-step explanation:

This is because -3 is going to multiple numbers, which cannot happen in a function.

Step-by-step explanation:

60 cookies with 4 cups

that means 60 per 4 = 60/4 = 15

and that means that he can make 15 cookies with 1 cup.

that is clear : from 60/4 we immediately know 15/1.

and now, as we know how many cookies can be made with 1 cup, it is easy to say how many cookies can be made with 3 cups. right, 3 times a much.

so, yes, we multiply 15 by 3 and get 45 cookies as answer.

Answer: 17/2

Step-by-step explanation: 2/3 of 12 3/8 = 8.25

8.25 as a fraction= 17/2.

Answer:

17 divided by two

Step-by-step explanation:

Answer:

its most likely CORRECT!

just have confidence that your answers are correct :)

Answer:

yes

Step-by-step explanation:

Answer:

These techniques for elimination are preferred for 3rd order systems and higher.  They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b.  Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method.  As the system of equations increases, the "condition" of a matrix becomes extremely important.  Some of this may sound completely alien to you.  Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n')  become larger than 2.

Step-by-step explanation:

Just to add a bit more information, "Elimination" Can have a variety of other interpretations.  Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.'  Do not worry if you have not heard of these terms.  They are used in Linear Algebra when referring to "Elimination techniques"

Gaussian Elimination

Gauss-Jordan Elimination

LU-Decomposition

QR-Decomposition

These techniques for elimination are preferred for 3rd order systems and higher.  They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b.  Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method.  As the system of equations increases, the "condition" of a matrix becomes extremely important.  Some of this may sound completely alien to you.  Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n')  become larger than 2.

Substitution is the preferred method for 2 equations in 2 unknowns.  The constants are unimportant other than having a non-zero determinant.  It is always easy to find multiplicative factors using LCMs of one variable or the other to allow substitution into the other equation:

Example:

4X + 5Y = 9

5X -  4Y = 1

Notice that 20 is a LCM of either the X or Y variable.  So multiply the first by 4 and the second by 5 and then adding the two (Y's will drop out allowing for substitution)

4(4X + 5Y = 9)

5(5X -  4Y = 1)  

Multiplying to produce the LCM factors:

16X + 20Y = 36

25X -  20Y = 5

Adding the equations

41X = 41

X = 1

Substitution into either equation yields

Y = 1

Elimination techniques are preferred for Rank-n>3

Answer:

I like the view

Answer:

wait what? hmmm hmmmmmm

Answer:

Out off 100

Step-by-step explanation:

10 don't have dutch heritage.

20 don't have German heritage.

25 don't have English heritage.

100 - 55

At minimum, 45 people have all three heritages.

Answer:

i do not know

Step-by-step explanation:

Answer:

is it $120?

Step-by-step explanation:

Answer:

1,988$

Step-by-step explanation:

4x7=28x71

Answer:

The slope is 30 and it represents the distance the car can travel per gallon of gas used

Step-by-step explanation:

We just need to look at the x=1 and find the y in order to find the slope and here we see that when x=1, then the y=30 so, therefore, the slope is 30

It represents the number of miles the car can drive per gallons of gas used as we can see that we are comparing the gas used with the distance traveled, so therefore it is comparing the distance the car can travel based on the gas used.

Answer:

it's A (the first answer)

the second one is also A the height of the plant.

it's completely dependent on the starting size and the number of days.

Answer:

2d+20

Step-by-step explanation:

since he is 20 pounds greater than denny you would just add 2d and 20 im pretty sure

or ig you want to write out the whole thing it would be y=2d+20

Hope This Helps!!

Answer:

[tex]2d + 20[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

y represents the total amount he spent in x amount of rides+ the $10 fee.

Step-by-step explanation:

At x=0, y=10 because he needs to pay $10 to enter, and he haven't rode on anything yet.

x=1, y=12

x=2, y=14

x=3, y=16

... and so on.

Answer:

15 batteries

Step-by-step explanation:

a. We have

5 batteries = 3 days

5 batteries/3 days = 1

5 batteries/3 days

we need to convert this to 9 days, so

x amount of batteries = 9 days

x batteries / 9 days = 1

5 batteries / 3 days = x batteries / 9 days

b.

5 batteries / 3 days = x batteries / 9 days

multiply both sides by 9 days to get rid of the denominators as well as the days variable

5 batteries * 9 days / 3 days = x batteries

5 batteries * 3 = x batteries

15 batteries = x batteries

x = 15

The proportion for the given situation is 3 : 5 :: 9 : x and 15 batteries required for 9 days trip.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let x be number of batteries required for 9 days trip.

a) So, the proportion is

3 : 5 :: 9 : x

b) Solve for x, that is

3x=45

⇒ x=15

Therefore, the number of batteries required for 9 days trip is 15.

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Answer:

[tex]7+32-42\div 2 = 39 - 21 = 18[/tex]

Step-by-step explanation: