The greatest integer funtion, shown below, is defined to be the greatest ______ less than or equal to x.

f(x)={{x}}

Answer:

95°

Step-by-step explanation:

y° = 180° - (55° + 30°)

y° = 180° - 85°

y ° = 95°

y = 95

x = y ( vertical angles)

x = 95°

Answer:

See explanation

Step-by-step explanation:

Total number of letters = n! = 10

Permutation for 10 letters = n!

                                          = 10!

                                          = 10*9*8*7*6*5*4*3*2*1

                                          = 3628800

From n letters:

Number of A = 2

Number of C = 2

Number of  L = 2

A₁, A₂, C₁, C₂, L₁, L₂, O, R, T, U

Out of 3628800 permutations the word calculator can be spelled as:

C₁ A₁ L₁ C₂ U L₂ A₂ T O R

C₂ A₂ L₂ C₁ U L₁ A₁ T O R

and so on

So total number of different permutations are  

(permutation of number of letters) / permutation of (number of As * number of Cs * number of Ls)

  =  10! / (2! 2! 2 !)  

  = 10*9*8*7*6*5*4*3*2*1 / (2*1) (2*1) (2*1)

  = 3628800 / 2 * 2 * 2

  =  3628800 / 8

  =   453600

Hence probability that a randomly selected permutation of the letters A, A, C, C, L, L, O, R, T, U would spell "calculator" is:

 1 / total number of different permutations  

= 1 / 10! / (2! 2! 2 !)  

= 1/453600

= 0.000002

Answer:

Hey there!

[tex]\sqrt{5}= 2.24\\\sqrt{32}= 5.66\\\sqrt{70}=8.37[/tex]

Let me know if this helps :)

Answer:

9999

Step-by-step explanation:

Given

(100 + 1)(100 - 1) ← these are the factors of a difference of squares.

a² - b² = (a + b)(a - b) , thus

(100 + 1)(100 - 1)

= 100² - 1

= 10000 - 1

= 9999

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Create 2 equations with the repeating part after the decimal point. Then by subtracting the repeating part is eliminated

let x = 0.1111.... → (1) ← multiply both sides by 10

10x = 1.1111.... → (2)

Subtract (1) from (2) eliminating the repeater, that is

9x = 1 ( divide both sides by 9 )

x = [tex]\frac{1}{9}[/tex]

That is

0.111111... = [tex]\frac{1}{9}[/tex]

Answer:

Hey there!

Using the vertical line test. In a function, one x value only has at most one y value.

Let me know if this helps :)

Answer:

-8

Step-by-step explanation:

isolate the 3a by subtracting 15 from 9 which gives you -24 then divided 3a by -24 which gives you -8

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = - 8}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{3a + 15 = - 9}[/tex]

Move 15 to right hand side and change its sign

⇒[tex] \sf{3x = - 9 - 15}[/tex]

Calculate

⇒[tex] \sf{3x = - 24}[/tex]

Divide both sides by 3

⇒[tex] \sf{ \frac{3x}{3} = \frac{ - 24}{3} }[/tex]

Calculate

⇒[tex] \sf{x = - 8}[/tex]

Hope I helped!

Best regards! :D

divide the temperature by the number of hours

36/12

answer: 3 degrees

Answer:

Well if a story is 14-16 feet tall, then it would be about 50 floors.

Step-by-step explanation:

Each story is 14-16 feet, and if you meet in the middle (15 feet) just divide 750 by 15, you get 50.

Step-by-step explanation:

Hey there!!

Given,

[tex] \frac{3}{z} = \frac{2}{5} [/tex]

Cross multiply.

15 = 2z

Therefore, z= 15/2

Hope it helps..

Answer:

z = 7.5

Step-by-step explanation:

3/z = 2/5

then:

3*5 = 2z

15 = 2z

15/2 = z

z = 7.5

Check:

3/7.5 = 2/5

Answer: when x = 7, y = 16

Step-by-step explanation: Here, we know that y varies inversely as x.

When we have two sets of inversely related coordinates, x₁ and y₁,

and x₂ and y₂, we can use the product rule, shown below,

to find the missing value.

Here, we know that y = 14 when x = 8 so

one set of coordinates will be 8 and 14.

We want to know the value of y when x = 7.

So our other coordinates will be 7 and y.

So we have (8)(14) = (7)(y).

Simplifying, (8)(14) is equal to 112 and (7)(y) is equal to 7y.

So we have 112 = 7y.

Now we simply solve for y by dividing both sides of the equation by 7.

The 7's on the right side cancel out and

on the left, 112 divided by 7 is equal to 16.

So we have 16 = y.

So when x is equal to 7, y is equal to 16.

Answer:

384 possible combinations are available.

Step-by-step explanation:

Types of sandwiches = 3

Types of bread = 2

Available toppings = 6

Choices for each topping = 2

Total combinations available = 3.2.2.2.2.2.2.2

                                             = 3(128)

                                               = 384

Answer:

She bakes 160 cookies in all.

Step-by-step explanation:

We are given that Alyssa bakes cookies for the bake sale. 35% of the cookies are chocolate chip and 56 of the cookies are chocolate chip.

Let the total number of cookies baked by Alyssa be 'x'.

Number of chocolate chip = 56

So, according to the question;

35% of total cookies = 56

35% of x = 56

[tex]\frac{35}{100} \times x = 56[/tex]

[tex]x=\frac{56\times 100}{35}[/tex]

[tex]x= 8 \times 20[/tex] = 160 cookies

Hence, Alyssa bakes 160 cookies for the bake sale.

Answer:

south

Step-by-step explanation:

telling what way it is north south east

Answer:

40x2+133x+2248

Step-by-step explanation:

20(2x2+82+7x)−(7x+4−612)

Distribute the Negative Sign:

=20(2x2+82+7x)+−1(7x+4−612)

=20(2x2+82+7x)+−1(7x)+(−1)(4)+(−1)(−612)

=20(2x2+82+7x)+−7x+−4+612

Distribute:

=(20)(2x2)+(20)(82)+(20)(7x)+−7x+−4+612

=40x2+1640+140x+−7x+−4+612

Combine Like Terms:

=40x2+1640+140x+−7x+−4+612

=(40x2)+(140x+−7x)+(1640+−4+612)

=40x2+133x+2248

Answer:

179 yds traveled in total.

Step-by-step explanation:

If the ball was 126 yd north of the ninth hole then it would be 126 yd to the hole.

Then you would have to go another 53 yd south to get to the ball.

So if you add the two together then it would be 179 yds traveled.

Here's the whole thing +extras that are after

a.

f = total cab fare

m = distance travelled

f = 2 + 0.50m

b.

7.50 = 2 + 0.50m

c.

7.50 = 2 + 0.50m

7.50 - 2 = 0.50m

5.50 = 0.50m

5.50/0.50 = m

m = 11

Sara traveled 11 miles.

d.

f = 2 + 0.50m

f = 2 + 0.50 x 10

f = 2 + 5

f = 7

When the cab fare is over $7.00 on the holidays, $1 is discounted off the fare.

e.  

Yes, Lupe traveled more than 10 miles. (refer to calculations used in c.)

Answer:

1.2 or 6/5

Step-by-step explanation:

2/3 = .6

.6 * 2 = 1.2

1.2 = 6/5

The unit rate of gallons per hour for 2/3 of a gallon per 1/2 hour will be 4/3.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

2/3 of a gallon per 1/2 hour.

In 1 hour = 2 ×  in 1/2 hour

Gallons per hour = 2 × 2/3 = 4/3

Hence "The unit rate of gallons per hour for 2/3 of a gallon per 1/2 hour will be 4/3".

To learn more about the rate of change here,

brainly.com/question/12786410

#SPJ2

AnswerStep-by-step explanation:

To find out the errors made in the data plot, let's determine what the five-number summary of the data set that should be displayed by the box plot should be.

First, order the data set given:

1, 6, 26, 27, 30, 31, 33, 34, 59

The five-number summary are:

1. Min value = 1

2. Max value = 59

3. Median = 30

1, 6, 26, 27, (30),31, 33, 34, 59

4. Q1 = (26+6) ÷ 2 = 16

1, [6, 26], 27, (30), 31, 33, 34, 59

5. Q3 = (33+34) ÷ 2 = 33.5

1, 6, 26, 27, (30), 31, [33, 34], 59

The errors in the box and whisker plot are:

1. The min value was displayed as 0 instead of 1.

2. The first quartile (Q1) was displayed as 10 instead of 16

3. The third Quartile (Q3) was displayed as 35 instead of 33.5

4. The max value was displayed as 60 instead of 59.

x=31​,y=−61​

Put the equations in standard form and then use matrices to solve the system of equations.

5x+4y=1,3x−6y=2

Write the equations in matrix form.

(53​4−6​)(xy​)=(12​)

Left multiply the equation by the inverse matrix of (53​4−6​).

inverse((53​4−6​))(53​4−6​)(xy​)=inverse((53​4−6​))(12​)

The product of a matrix and its inverse is the identity matrix.

(10​01​)(xy​)=inverse((53​4−6​))(12​)

Multiply the matrices on the left hand side of the equal sign.

(xy​)=inverse((53​4−6​))(12​)

For the 2×2 matrix (ac​bd​), the inverse matrix is (ad−bcd​ad−bc−c​​ad−bc−b​ad−bca​​), so the matrix equation can be rewritten as a matrix multiplication problem.

(xy​)=(5(−6)−4×3−6​−5(−6)−4×33​​−5(−6)−4×34​5(−6)−4×35​​)(12​)

Do the arithmetic.

(xy​)=(71​141​​212​−425​​)(12​)

Multiply the matrices.

(xy​)=(71​+212​×2141​−425​×2​)

Do the arithmetic.

(xy​)=(31​−61​​)

Extract the matrix elements x and y.

x=31​,y=−61​

Answer:

First equation: x= 1 y= -1

Second equation:  x = 2/3 y = 1/-3

Step-by-step explanation:

Answer:

11.74

Step-by-step explanation:

I hope this helps you

Answer:

$9.99

Step-by-step explanation:

The goal is to get d all by itself. To do that first subtract 5.22 on both sides. Then you have 3d=29.97. Then you need to get rid of the 3. Divide the 3 on both sides to get d=9.99. D represent a dozen, so one dozen bagels equals $9.99.

Answer:(6,-2)

Step-by-step explanation:

M is the midpoint of AB then ,

M = [tex]\frac{A+B}{2}[/tex]

[tex]5=\frac{x+4}{2}[/tex]     ,     [tex]-2=\frac{y-2}{2}[/tex]

[tex]10=x+4[/tex]  ,      [tex]-4=y-2[/tex]

[tex]x=6[/tex]          ,      [tex]y= -2[/tex]

so, B= (6,-2)

The required endpoint is given as (6, 4 ).

Given that,
To determine the coordinates of the missing endpoint if M is the midpoint of AB. A(4, -8) and M(5,-2).

The midpoint is that point the line whose distance from both the ends of the line is equal.

Here,
We have given two coordinates one of the endpoints of AB and the other is midpoint M i.e. A(4, -8) and M(5,-2).
Definition of midpoint says,
x = [x₁ +  x₂] / 2 ; y = [y₁ + y₂] / 2
x₁ = 4, x = 5 , y₁ = -8, y = -2
now,
5 = [4 + x₂] / 2 ; -2 = [-8 + y₂] / 2
x₂ = 10 - 4 ; y₂ = -4 + 8
x₂ = 6 : y₂ = 4

Thus, the required endpoint is given as (6, 4 ).

Learn more about midpoints here: https://brainly.com/question/28224145
#SPJ2

Answer:

i  got  11.8 and what do  u mean by the 2, do u mean the 2 strokes, that means that  they  are equal

Step-by-step explanation:

Answer:

6 + 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Since the triangle is isosceles then the 2 marked sides are congruent.

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Thus perimeter (P) is the sum of the 3 sides

P = [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{5}[/tex]

  = 2[tex]\sqrt{20}[/tex] + 6 + [tex]\sqrt{5}[/tex]

  = 2([tex]\sqrt{4(5)}[/tex] ) + 6 + [tex]\sqrt{5}[/tex]

  = 2 ( [tex]\sqrt{4}[/tex] ×  [tex]\sqrt{5}[/tex] ) + 6 + [tex]\sqrt{5}[/tex]

  = 2(2[tex]\sqrt{5}[/tex] ) + 6 + [tex]\sqrt{5}[/tex]

  = 4[tex]\sqrt{5}[/tex] + 6 + [tex]\sqrt{5}[/tex]

  = 6 + 5[tex]\sqrt{5}[/tex]

Answer: -48x³y^4 (the option at the bottom left)

Step-by-step explanation:

 -6x²y × 8y³x

=-48x³y^4 ⇔ multiplication in exponents with same base works as addition

Hope this helps!! :)

Please let me know if you have any question

Answer:

[tex] \boxed{ \boxed{ \sf {Marked \: price \: = Rs \: 1500}}}[/tex]

[tex] \boxed{ \bold{ \boxed{ \sf{Selling \: price = \: Rs \: 1230}}}}[/tex]

Step-by-step explanation:

Let Cost price ( C.P ) be x

Finding the Marked price and selling price

Marked price = [tex] \sf{x + 20\% \: of \: x}[/tex]

⇒[tex] \sf{x + \frac{20}{100} \times x}[/tex]

⇒[tex] \sf{ \frac{x \times 100 + 20x}{100} }[/tex]

⇒[tex] \sf{ \frac{120x}{100} }[/tex] ⇒ ( i )

Selling price = [tex] \sf{marked \: price \: - 18\% \: of \: marked \: price}[/tex]

⇒[tex] \sf{ \frac{120x}{100} - \frac{18}{100} \times \frac{120x}{100} }[/tex]

⇒[tex] \sf{ \frac{120x}{100} - \frac{54x}{250} }[/tex]

⇒[tex] \sf{ \frac{120x \times 5 - 54x \times 2}{500} }[/tex]

⇒[tex] \sf{ \frac{600x - 108x}{500} }[/tex]

⇒[tex] \sf{ \frac{492x}{500} }[/tex] ⇒ ( ii )

Finding the value of x ( Cost price )

[tex] \sf{loss = cost \: price - selling \: price}[/tex]

⇒[tex] \sf{20 = x - \frac{492x}{500} }[/tex]

⇒[tex] \sf{20 = \frac{x \times 500 - 492x}{500} }[/tex]

⇒[tex] \sf{20 = \frac{8x}{500} }[/tex]

⇒[tex] \sf{8x = 10000}[/tex]

⇒[tex] \sf{x = \frac{10000}{8} }[/tex]

⇒[tex] \sf{x = \: Rs \: 1250}[/tex]

Value of x ( cost price ) = Rs 1250

Now, Replacing the value of x in ( i ) in order to find the value of marked price

[tex] \sf{marked \: price = \frac{120x}{100} }[/tex]

⇒[tex] \sf{ \frac{120 \times 1250}{100} }[/tex]

⇒[tex] \sf{ \: Rs \: 1500}[/tex]

Replacing value of x in ( ii ) in order to find the value of selling price

[tex] \sf{selling \: price = \frac{492 \: x}{500} }[/tex]

⇒[tex] \sf{ \frac{615000}{500} }[/tex]

⇒[tex] \sf{ \: Rs \: 1230}[/tex]

Thus , Marked price of the fan = Rs 1500

Selling price of the fan = Rs 1230

Hope I helped!

Best regards!!

Answer:

The answer is D. 7/11 it's just simple addition.

Answer:

rational

Step-by-step explanation:

Answer:

The fraction 3/10 is a rational number. All fractions are rational numbers.