Given this equation what is the value of x at the indicated point?

Based on the various meals offered by the catering service, the ways that the order can be done is 6,930 ways..

This can be found as:

= (11! / (9!2!)) x (7! / (5!2!)) x (4! / (2!2!)

= 55 x 21 x 6

= 6,930 ways

In conclusion, the order can be made in 6,930 ways.

Find out more on permutations at https://brainly.com/question/1216161.

#SPJ1

Answer:

Twelve people are left handed

Answer:

2.5%

Step-by-step explanation:

After 10.4 ounces, the number of adults goes down drastically. The rest of the options are 47.5%, 95% and 97.5%, which are not the answers. Hence, the answer is 2.5%.

Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current amount.

To learn more about logarithmic evaluation refer to:

https://brainly.com/question/29168400

#SPJ1

the expression cos(x − y) − cos(x + y) simplifies to 2sin(x)sin(y).

what is  expression ?

In mathematics, an expression is a combination of mathematical symbols (such as numbers, variables, and operators) that represents a mathematical object or relationship.

In the given question,

We can use the trigonometric identity cos(a - b) = cos(a)cos(b) + sin(a)sin(b) to simplify cos(x - y), and cos(a + b) = cos(a)cos(b) - sin(a)sin(b) to simplify cos(x + y).

cos(x - y) = cos(x)cos(y) + sin(x)sin(y)

cos(x + y) = cos(x)cos(y) - sin(x)sin(y)

Therefore,

cos(x - y) - cos(x + y) = (cos(x)cos(y) + sin(x)sin(y)) - (cos(x)cos(y) - sin(x)sin(y))

= cos(x)cos(y) + sin(x)sin(y) - cos(x)cos(y) + sin(x)sin(y)

= 2sin(x)sin(y)

So, the expression cos(x − y) − cos(x + y) simplifies to 2sin(x)sin(y).

To know more about expression, visit:

https://brainly.com/question/14083225

#SPJ1

simplify the expressions  cos(x − y) − cos(x + y) ?

Answer: 56554

Step-by-step explanation:

The surface area of the square pyramid is: 451 cm²

The lateral surface area of the square pyramid = 330 cm²

Surface area = a² + 2al, where a is the base edge and l is the slant height.

Lateral Surface Area =  2al.

Given the following:

Surface area = a² + 2al = 11² + 2(11)(15)

Surface area = 451 cm²

Lateral Surface Area =  2al = 2(11)(15)

Lateral Surface Area = 330 cm²

Learn more about square pyramid on:

https://brainly.com/question/3688277

The lateral and surface area of a square base pyramid with side length of 11 cm and slant height of 15 cm are 330 cm² and 451 cm².

surface area = A + 1 / 2 ps

where

Therefore,

surface area = 11² + 1 / 2 × (11 × 4) × 15

surface area = 121 + 1 / 2 × 44 × 15

surface area = 121 + 330

surface area = 451 cm²

lateral area = 1 / 2 ps

lateral area = 1 / 2 × 44 × 15

lateral area = 330 cm²

learn more on lateral and surface area here; https://brainly.com/question/23857644

The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

Hey there! I'm happy to help!

First let's combine all of the terms with a.

2a+2a=4a

Now the ones with b.

3b-b=2b

And the ones with c.

-4c+2c=-2c

So, our simplified expression is 4a+2b-2c.

Have a wonderful day! :D

Answer:

\(x=8, y=3\)

Step-by-step explanation:

Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.

Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:

\(y=11-x----(1)\)

Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:

\(y+5=x----(2)\)

Substitute (1) into (2):

\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)

Substitute (3) into (1):

\(y=11-8=3\)

Answer:

a.) 1/2

b.) 1/8

c.) 5/8

d.) 1/2

Step-by-step explanation:

for A it is asking for probability of 1 and is 1/2 of the circle

for B it is asking for  probability of 3 and it is 1/2 of and 1/4 of the circle so 1/8

for C it is asking for probability of the odd numbers and there is tow odd numbers 1 and 3 the probability of 1 is 1/2 and the probability of 3 is 1/8 adding them up will give you 5/8

for d it asks for the probability of at least 2 so therefor 2, 3, and 4 and they are 1/8 + 1/8 + for 1/4 = 1/2

Answer:

Carla has been running 7 miles each day for 13 days.

Step-by-step explanation:

Carla ran 3 miles on her first day, 5 miles on her second day and then 7 miles each day onward.

Let the number of days she ran 7 miles each day = x

Total distance run by Carla = 3 + 5 + 7(x)

                                             = 8 + 7x

If her log book shows that she has run total distance = 99 miles

Equation representing her total run will be,

8 + 7x = 99

7x = 99 - 8

7x = 91

x = \(\frac{91}{7}\)

x = 13 days

Therefore, Carla has been running 7 miles each day for 13 days.

Answer:

The two multiples are 42 and 48

6 times 7 is 42

and 6 times 8 is 48

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

Learn more about Future Value here:

https://brainly.com/question/14860893

#SPJ1

The inequality used to determine the maximum number of days Miguel can afford to rent while staying within his budget is 202.5 + 36.39x ≤ 480.

What is an inequality?

An inequality is a comparison between two or more mathematical expressions. It can be of the form ≤, ≥, < or >.

We are given per day charges as $36.39 and the charges per mile as $0.90.

Also, it is given that in total 225 miles have been driven.

So, the charges of 225 miles are:

⇒225 x 0.90

⇒$202.5

It is given that he can spend maximum $480.

So, for the maximum number of x days, we get the inequality as

202.5 + 36.39x ≤ 480

Hence, the inequality used to determine the maximum number of days Miguel can afford to rent while staying within his budget is

202.5 + 36.39x ≤ 480.

Learn more about inequality from the given link

brainly.com/question/26158293

#SPJ1

Answer:

  (2.5, -2)

Step-by-step explanation:

The solution to the system of equations is the point where the lines on the graph cross. You can read those coordinates as ...

  (2.5, -2)

Answer:

29 3/4

Step-by-step explanation:

Answer:

18n + 9

Step-by-step explanation:

Distribute 9 into the expression.

9*2n = 18n

9*1 = 9

18n + 9

Answer:

the annual growth rate is 15.47 %

Step-by-step explanation:

Given the data in the question;

Internet users grew from 25.8 million to 70.6 million,

from the year 2009 to the year 2016.

Using geometric mean, Annual growth rate = ?

To determine the average growth rate of a time series using geometric mean, we use the following formula;

\(r_{geo\) = [ \((\) Xₙ / X₀ \()^{\frac{1}{n}\) ] - 1

where Xₙ is the data value of the last year { 70.6 million }

X₀ is the data value for the first year { 25.8 million }

n is the sample size or the time difference, ( 2016 - 2009 = 7 )

so we substitute;

\(r_{geo\) =  [ \((\) 70.6 / 25.8  \()^{\frac{1}{7}\) ] - 1

\(r_{geo\) = [ \((\) 2.736434  \()^{\frac{1}{7}\) ] - 1

\(r_{geo\) = [ 1.15466 ] - 1

\(r_{geo\) = 0.15466

\(r_{geo\) = ( 0.15466 × 100 )%

\(r_{geo\) = 15.47 %

Therefore, the annual growth rate is 15.47 %

Answer:

It should be 42.4

Answer:

4x25/100=1

Step-by-step explanation:

How I came up with it

4÷100=25

25÷25=1

Julie will only get a 1% discount

Hope it helps

Answer: 65.1 (mg)

Step-by-step explanation:

\(y=190*e^{-a*t}\\\\Calculate\ a:\\\\t=33,y=95(mg)\\\\190*e^{-a*33}=95\\\\e^{-a*33}=0.5\\\\-a*33=ln(0.5)\\\\a=\dfrac{ln(\dfrac{1}{2}) }{-33} \\\\a=0,02100... \approx{0.021}\\\\If\ t=51\ h, y=190*e^{-0.02100*51}=65.09167...\approx{65.1}\)

Answer:

x=-1

Step-by-step explanation:

absolute value

Answer:

200.96 units

Step-by-step explanation:

Use the formula for the volume of a cone \(V=\pi r^{2} \frac{h}{3}\)

Plug in the values (\(\pi\)=3.14) and multiply them all out

Answer:

≈ 201

Step-by-step explanation:

V= πr²h/3

V= 3.14*4²*12/3= 200.96 ≈ 201

The perimeter of the triangle having vertices (0,1),(3,6), and (4,1) will be 10.83 units.

Any two-dimensional figure's perimeter is determined by the space surrounding it. By summing the lengths of the sides, we can determine the perimeter of any closed shape.

Any polygon's perimeter is equal to the sum of its side lengths. Considering a triangle

The sum of the three sides equals the perimeter.

Units are always a part of the ultimate response. The final solution should be given in centimeters if the triangle's sides are in that unit.

Because the y values between U and V differ, the distance is equal to the x value difference.

Because the x values of V and W differ, the distance equals the difference between their y values.

The hypotenuse of a right triangle, or U to W, equals sqr (sum of squares on the other two sides)

Perimeter = sum of the 3 sides

\(= \sqrt{34} + \sqrt{26}+ \sqrt{16}= 5.83 + 5.1 + 4 = 10.83\:units\)

As the value of 34 is 5.83 squared,  26 is 5.1 squared,  16 is about 4 squared.

To know more about the perimeter of triangle:

https://brainly.com/question/17394545

#SPJ4

The total distances add up to the triangle's perimeter is 10.00

The triangle's perimeter may be calculated by summing the distances between its three vertices. Use the distance formula to calculate the separation between the points:

d = √((x2 - x1)2 + (y2 - y1)2)

The distances between the points are as a result for the triangle with vertices (0,1), (3,6), and (4,1)

Utilizing the distance formula, determine the separation between (0,1) and (3,6):

d = √((x2 - x1) 2 + (y2 - y1) 2) = √((3-0) 2 + (6-1) 2) = √(32 + 52) = √45

Utilizing the distance formula, determine the separation between (3,6) and (4,1):

d = √((x2 - x1) 2 + (y2 - y1) 2) = √((4-3) 2 + (1-6) 2) = √(12 + 52) = √25

Utilizing the distance formula, determine the separation between (4,1) and (0,1):

d = √((x2 - x1) 2 + (y2 - y1)2) = √((0-4) 2 + (1-1) 2) = √(42 + 02) = √16

The triangle's perimeter is calculated by adding the three distances together:

Perimeter = √45 + √25 + √16 = 10.00.

Hence, the perimeter of the triangle is 10.00, rounded to the closest hundredth.

To learn more about perimeter visit:

https://brainly.com/question/345835

#SPJ4

Answer:4.8

Step-by-step explanation:

30/3 x 1.6

INTREST-300000

Step-by-step explanation:

36000000

Answer: g(x) = (1/3)*(-x)^2 + 3.

Step-by-step explanation:

Let's define all the transformations in a general way,

A vertical contraction/dilation of a scale factor a is written as:

g(x) = a*f(x)

where if a > 1, it is a dilation.

if  0 < a < 1, it is a contraction.

A reflection in the y-axis changes the value of the x-component and leaves the y-component invariable, then this transformation is written as:

g(x) = f(-x).

A translation of A units up (A positive) is written as:

g(x) = f(x) + A.

Then for this case we have:

A dilation with scale factor 1/3.

g(x) = (1/3)*f(x)

A reflection over the y-axis.

g(x) = (1/3)*f(-x)

A translation of 3 units up.

g(x) = (1/3)*f(-x) + 3

(in that order, remember that the order in which you applly the transformations matters)

Then g(x) = (1/3)*f(-x) + 3

and f(x) = x^2, so we can replace that in the equation for g(x)

g(x) = (1/3)*(-x)^2 + 3.

Transformation involves changing the position of a function.

The rule for g is: \(\mathbf{g(x) = \frac 13(x - 3)^2}\)

The parent function is given as:

\(\mathbf{f(x) = x^2}\)

The rule of vertical shrink by a factor of 1/3 is:

\(\mathbf{(x,y) \to (x,\frac 13y)}\)

So, we have:

\(\mathbf{f'(x) = \frac 13x^2}\)

The rule of reflection across the y-axis is:

\(\mathbf{(x,y) \to (-x,y)}\)

So, we have:

\(\mathbf{f''(x) = \frac 13(-x)^2}\)

\(\mathbf{f''(x) = \frac 13x^2}\)

The rule of translation 3 units right is:

\(\mathbf{(x,y) \to (x - 3,y)}\)

So, we have:

\(\mathbf{g(x) = \frac 13(x - 3)^2}\)

Hence, the rule for g is: \(\mathbf{g(x) = \frac 13(x - 3)^2}\)

Read more about transformations at:

https://brainly.com/question/11709244