A 5-course banquet has 3 options for each course.
The number of possible 5-course meals is m.
Find the value of m.

X=7.1cm

The solution is in the attached file

Remember the shortcut way for graphing quadratic equations

#1

Vertex

As a is positive parabola facing upwards

Find y for same x distance from vertex

I took 3-1=2 and 3+1=4

Now plot vertex and these two points (2,1) and (4,1) on graph then draw a parabola by freehand

#2

Convert to vertex form

Vertex at (-1,-9)

Same take two equidistant x values

Let's take -1-1=-2 and -1+1 =0

Put (-1,-9),(-2,-8),(0,-8) on graph and draw a freehand parabola

#3.

Yes it can be verified by finding the coordinate theoretically on putting them on function then can be verified through putting them on graph whether they matches or not

Answer: 346.19cm²

Step-by-step explanation:

π= 3.14

Divide 21 (the diameter) by 2 to get the radius( it 's half of the diameter). so the radius is 10.5

Area= πr²

       = 3.14x10.5x10.5

       = 346.185

So next round up the value you got to the nearest tenth, so when u round up to the nearest tenth you get 346.19

Answer:

14 inch ^2

Step-by-step explanation:

Area of a trapezium= (a+b) 2 times h

so side a= 5 inches

    side b= 9 inches

then times by 2 times the height (2)

you can rearrange the formula to this- a + b/ 2 times height.

5+9/2 times 2= 14

I hope this helps, have a lovely day.

Answer:

I got 2x^3+3x^2-4x-12

Step-by-step explanation:

I hope this helps a little bit

Answer:

6^8

Step-by-step explanation:

(6^4)(6^4)

6^8

or something like that

If f(x) and f¹(x) are inverse functions of each other then value of ƒ˜¹ (8) = 3/2.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have,

f(x) = 2x + 5

Let us consider f(x) as y

So, y= 2x + 5

Now replace x to y and y to x

x= 2y+ 5

Solving for y we get

2y = x - 5

y = (x - 5)/2

[tex]f^{-1[/tex](x) = (x - 5)/2

Now, [tex]f^{-1[/tex](8) = (8 - 5)/2

[tex]f^{-1[/tex](x) = 3/2

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He needs 20 more unit cubes to completely fill the prism

The dimension of the prism is given as;

4 by 3 by 3

The volume is calculated as:

Volume = 4 * 3 * 3

Volume = 36

He has already filled 16 units.

So, the units remaining is

Remaining = 36 - 16

Evaluate

Remaining = 20

Hence, he needs 20 more unit cubes to completely fill the prism

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Answer:

B  isosceles with sides  sqrt (61)

Step-by-step explanation:

Find the two sides' lengths via pythagorean theorem to be

 sqrt ( 5^2 + 6^2) = sqrt (61)

[tex](\frac{4m^5n^2}{m^2n})^3 = (\frac{4m^5n^2}{m^2n})(\frac{4m^5n^2}{m^2n})(\frac{4m^5n^2}{m^2n})[/tex]

---Essentially, we're taking the given expression and multiplying it by itself three times. So, we can solve the problem by multiplying fractions or simply distributing the 3 to each term. Remember, we will be multiplying the existing exponents by the 3, not adding 3.

[4^3 m^15 n^6] / [m^6 n^3]

---Now, we need to simplify the expression. Since there are 15 m's on the top, and 6 m's on the bottom, we can take 15 - 6 to now have only 9 m's on the top.

64 m^9 n^3

Answer: A

Hope this helps!

Answer:

16

Step-by-step explanation:

Answer:24

Step-by-step explanation:

(4x−101)(2x+3)

Apply the distributive property by multiplying each term of 4x−101 by each term of 2x+3.

8x²+12x−202x−303

Combine 12x and −202x.

8x²−190x−303

Hi student, let me help you out! :)

. . .  . . . . .  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the value of x in [tex]\mathrm{(4x-101)(2x+3)}[/tex].

◈ Note:

⇛ We can't find the value of x, but we can simplify this expression.

This is how we'll simplify it:

◆ Multiply 4x times 2x and 3 first:

[tex]\large\pmb{4x\times2x=8x^2}[/tex]

[tex]\large\pmb{4x\times3=12x}[/tex]

Add the terms:

[tex]\large\pmb{8x^2+12x}[/tex]

Now, do the same thing with -101 - multiply that times 2x and 3:

[tex]\large\pmb{-101\times2x=-202x}[/tex]

[tex]\large\pmb{-101\times3=-303}[/tex]

Add the terms:

[tex]\large\pmb{-202x-303}[/tex]

Put all 4 of the terms together:

[tex]\large\pmb{8x^2+12x-202x-303}[/tex]

Combine like terms (12x and -202x):

[tex]\large\pmb{8x^2-190x-303}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

Answer:

solution;

21=7x-4x

21=3x

21x/3x

Then finalay aneswer is 7x

The numbers between 10 and 50  when they are divided by 5 then the remainder is 2 is shown in the form of description method and in set-builder form is {12, 17, 22, 27, 32, 37, 42, 47}.

A set is a collection of clearly - defined unique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.

We have:

The set of numbers between 10 and 50 when they are divided by 5 then the remainder is 2

The numbers are:

12, 17, 22, 27, 32, 37, 42, 47

By description method:

1      2     3    4      5     6      7      8  

12   17   22   27    32    37   42    47  

By set builder form:

s = {12, 17, 22, 27, 32, 37, 42, 47}

Thus, the numbers between 10 and 50  when they are divided by 5 then the remainder is 2 is shown in the form of description method and in set-builder form is {12, 17, 22, 27, 32, 37, 42, 47}.

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The number of students who come to school through other modes o transportation is 1,165.

The number of students who come to school through other modes o transportation can be calculated as follows:

A = Number of girls that uses other modes o transportation = (100% - 40%) * 950 = 570

B = Number of boys that uses other modes o transportation = (100% - 30%) * (1800 - 950) = 595

C = Total number of studens that uses other modes o transportation = A + B = 570 + 595 = 1,165

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the right answer of this question is

C. unlikely

[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]

[tex] \sf \red{What \: is \: the \: distance \: between \: the \: points \: located \: at \: (5, 1) \: and \: (10, 11) ?}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]

Let, the points be A(5,1) and B(10,11) on the number line.

Here,

[tex]x_{1}[/tex] = 5. [tex]x_{2}[/tex] = 10

[tex]y_{1}[/tex] = 1. [tex]y_{2}[/tex] = 11

We,know that to find distance between two points, the formula is:

[tex] \sqrt{( {x}_{2} - {x}_{1})^{2} + ( {y}_{2} - {y}_{1} )^{2} } \\ \\ = \sqrt{(10 - 5) ^{2} + (11 - 1)^{2} } \\ \\ = \sqrt{ ({5)}^{2} + ( {10})^{2} } \\ \\ = \sqrt{25 + 100} \\ \\ = \sqrt{125} \\ \\ = 11.18[/tex]

Therefore, the distance between the two points (A) and (B) is 11.18

[tex] \boxed{ \frak \red{Hope \: it \: helps \: you}}[/tex]

Considering the definition of axis of symmetry, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

An axis of symmetry is an imaginary reference line that, when dividing any shape into two parts, its opposite points are equidistant from each other, that is, they are symmetrical.

In other words, the axis of symmetry is a vertical line that divides the parabola into two congruent halves.

The axis of symmetry is the line perpendicular to the "x" axis that contains the vertex of the function, that is, it always passes through the vertex of the parabola. So the x-coordinate of the vertex is the equation of the axis of symmetry.

That is, in a quadratic function that has the form:

f(x)= ax² + bx + c

the axis of symmetry is a vertical line and it is defined as [tex]x=\frac{-b}{2a}[/tex].

In this case, you know:

Replacing in the definition of axis of symmetry:

[tex]x=\frac{-12}{2x3}[/tex]

Solving:

[tex]x=\frac{-12}{6}[/tex]

x= -2

Finally, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

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Answer:

43 percent

Step-by-step explanation:

When you divide 43 by 100 you get .43 which is 43%

Answer:

43%

Step-by-step explanation:

Because if you divide 43  by 100 you get, .43 and so there you have it, 43% Hope you understand <3

Answer:

$4,30 that is the answer I'd my working on paper

Answer:

425.70

Step-by-step explanation:

Answer:

a. direct

Step-by-step explanation:

direct variation is y = kx and y = -2/5x is written in direct variation.

The volume of the silo = volume of the hemisphere + volume of the cylinder ≈ 4,410.8 m³.

Volume of a hemisphere = 2/3πr³

Volume of cylinder = πr²h

The volume of the silo = 2/3πr³ + πr²h

Plug in the values

The volume of the silo = 2/3π(6³) + π(6²)(35) ≈ 4,410.8 m³

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Answer:

989.6 m^3

Step-by-step explanation:

refer to images hope this helps x

Answer:

Area of Circle  = 346.5 cm².

Area of square = 272.25 cm ² .

Step-by-step explanation:

So , 2πR = 66

2 × 22 / 7 × R = 66

R comes out is 21/2 cm .

Area of Circle = 22/7 × 21/2 × 21/2 = 33×21/2

= 693 / 2 = 346.5 cm².

If bent into the shape of a square ;

4 a = 66

a = 33/2 . ( Side of a square )

Area of square = a ² = 33×33/4 = 1089/4

= 272.25 cm ² .

Answer:

15 2/3

Step-by-step explanation:

4 2/3 = 14/3

11 = 33/3

14/3 + 33/3 = 47/3

47/3 = 15 2/3

Answer:

185 anle with the postive measure and a negative measure

Answer:

The triangles are not similar.

Step-by-step explanation:

First, what's all the information we know?
We know we're trying to prove that triangle BAC is similar to triangle DEC.
We know AC=12 and EC =12 (proving 1 side equal).
We know angle BCA and angle DCE or equal.
However, we do not know any information further than this, and there is no postulate/theorem for AS. Therefore, the triangles are not similar.

Answer:

what are you talkin bout fam? you speakin gibberish rn

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

m - 8 = 16

m = 24

Answer:

24

Step-by-step explanation:

To find the value of "m", you need to plug n = 8 into the equation.

m - n = 16                             <---- Original equation

m - 8 = 16                             <----- Plug 8 in for "n"
   + 8  + 8                             <---- Isolate "m" by adding 8 to both sides

m = 24                                  <----- Final answer

Answer:

Substitution. Substitution is a good method to use when one of the variables is isolated in the equation or the coefficient of one of the variables is 1 or -1. When you isolate that variable to substitute into the other equation, you will not be introducing additional fractions into the problem.

Using the normal distribution, it is found that the probability that the association would observe 654 or less people who drink milk in the sample is of 0%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For the binomial distribution, the parameters are given as follows:

n = 800, p = 0.87.

Hence, the mean and the standard deviation of the approximation are given by:

The probability that the association would observe 654 or less people who drink milk in the sample, using continuity correction, is [tex]P(X \leq 654.5)[/tex], which is the p-value of Z when X = 654.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{654.5 - 696}{9.5121}[/tex]

Z = -4.36

Z = -4.36 has a p-value of 0.

0% probability that the association would observe 654 or less people who drink milk in the sample.

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