At a restaurant, 8 plates are accidentally broken each day for a week (7 days). What number represents the change in the number of plates the restaurant has?

Answer:

22000 easy but this simple hope it helps

Step-by-step explanation:

[tex]\text{Given that,}\\\\[/tex]

[tex]~~~~~~~\cos \theta = \dfrac 89\\\\\\\implies 2\cos^2 \left(\dfrac{\theta}2 \right) -1 = \dfrac 89~~~~~~;\left[1+ \cos 2\theta = 2\cos^2 \theta \right]\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)= \dfrac 89 +1\\\\\\\implies 2 \cos^2 \left(\dfrac{\theta}2 \right)=\dfrac{17}9\\\\\\\implies \cos^2 \left(\dfrac{\theta}2 \right) = \dfrac{17}{18}\\\\\\\implies \cos \left(\dfrac{\theta}2 \right)=\sqrt{\dfrac{17}{18}}~~~~~~~~~~~;\left[\text{Positive value of} ~\cos \left(\dfrac{\theta}2\right) \right][/tex]

[tex]\implies \cos \left(\dfrac{\theta} 2 \right) =\dfrac{\sqrt{17}}{\sqrt{9 \times 2}}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17}}{3\sqrt 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{17} \cdot \sqrt 2}{3\cdot 2}\\\\\\\implies \cos \left(\dfrac{\theta} 2 \right)=\dfrac{\sqrt{34}}{6 }[/tex]

Answer:

I believe D is the correct answer

Answer:

-0.5774

Step-by-step explanation:

Tan 150 degrees is the value of tangent trigonometric function for an angle equal to 150 degrees. The value of tan 150° is -1/√3 or -0.5774 (approx).

Since the surface area of this cylinder is [tex]432\pi \;yd^2[/tex], its diameter is equal to 12 yards.

Mathematically, the surface area (SA) of a cylinder is given by this formula:

[tex]S.A = 2\pi rh + 2\pi r^2[/tex]

Where:

Given the following data:

Substituting the given parameters into the formula, we have;

[tex]432\pi = 2\pi r(5r) + 2\pi r^2\\\\432\pi = 2\pi 5r^2 + 2\pi r^2\\\\216=5r^2+r^2\\\\216=6r^2\\\\r^2=36\\\\r=\sqrt{36}[/tex]

r = 6 yards.

For the diameter:

Diamter = 2 x radius

Diamter = 2 x 6

Diameter = 12 yards.

Read more on surface area here: brainly.com/question/21367171

Answer:

Alex has £44

Pierre has £66

Step-by-step explanation:

P = A + 20

P+ 22 = 2A

solve for A

plug in p

(A + 20) + 22 = 2A

A + 44 = 2A

subtract A from both sides

44 = A

solve for P

plug A in

P = 44 +22

P = 66

Pls give brainlyist

Answer: 96 cups

Step-by-step explanation: A gallon  holds 128 ounces there were 6 gallons used to make the punch. 128x6= 768 ounces

A cup holds 8 ounces so you would do 768/8 and that would give you 96 cups

As no graph is shown some basic information of parabola can be helpful

And a coordinate is given check it whether it is equal to second part of options

We get

Last two are radar now

As a must be negative option D has such similarities.

Answer:

[tex]\sf y = -0.006x^2 + 0.35x + 6\quad and\quad y = 0.2x[/tex]

Step-by-step explanation:

As the archer shoots the arrow up, the trajectory of the arrow can be modeled as a parabola that opens downwards.  Therefore, this is a quadratic equation with a negative leading coefficient.

From inspection of the answer options, the path of the arrow is :

[tex]y=-0.006x^2+0.35x+6[/tex]

This means the options for the line equation are [tex]y=-x[/tex] and [tex]y=0.2x[/tex]

We are told that the point of intersection of the line and the parabola is at (46.5, 9.3).  As both the x-value and y-value are positive, the equation of the line must be [tex]y=0.2x[/tex]

To confirm, substitute [tex]x=46.5[/tex] into the equation:

[tex]\implies y=0.2(46.5)=9.3[/tex]

Answer:

10 ft

Step-by-step explanation:

Given:

Plug in the values given:

Cancel π from both sides and simplify:

Answer:

The height of the cone if the radius is 6ft is,

⇒ h = 3.18 feet

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

An orange cone has a exact volume of 120π ft³.

And, The radius = 6 feet

Now, We know that;

Volume of cone = πr²h/ 3

Hence, We get;

⇒ 120 = 3.14 × 6² × h / 3

⇒ 120 = 3.14 × 12h

⇒ 120 = 37.68h

⇒ h = 3.18 feet

Thus, The height of the cone if the radius is 6ft is,

⇒ h = 3.18 feet

Learn more about the multiplication visit:

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Answer:

 A)  1

Step-by-step explanation:

We want to find G such that ...

 (G-F)/(D-G) = 8/5

 5(G-F) = 8(D-G)

 5G -5F = 8D-8G . . . . eliminate parentheses

 13G = 8D +5F . . . . . . add 5F +8G to both sides

 G = (8D +5F)/13 . . . . divide by the coefficient of G

 G = (8(-4) +5(9))/13 = (-32 +45)/13 = 13/13

 G = 1 . . . . . . matches choice A

Answer:

A

Step-by-step explanation:

EDGE 22

Answer:

8x-3y-24

Step-by-step explanation:

[tex] \frac{3}{4} y = 2x - 6 \\ \\ \\ 3y = 4(2x - 6) \\ \\ 3y = 8x - 24 \\ \\ 8x - 3y - 24 = 0 \\ \\ \\ is \: the \: required \: equation[/tex]

Here is your Answer:

3/4

Answer:

400,000

Numbers given:

After rounding them to nearest hundredth thousand:

Difference:

Answer:

220 cm^3

Step-by-step explanation:

volume = 1/2(10.5)(6)(7)

volume = 220.5 cm^3

Answer:

73+78+85+84+37+115 because you will add all point scored by the last 6games =471

Answer:

The function y =f (x) is graphed below. Plot a line segment connecting the points on f where x = -9 and x = -3. Use the line segment to determine the average rate of change of the function f (x) on the interval -9 <x <-3?

Step-by-step explanation:

I am not sure where or what you are talking about?

Answer:

46 and 47.

Step-by-step explanation:

Let the 1st number be x,

Now,

or, x + x = 92

or, 2x = 92

or, x = 46

Again,

Let the 2nd number be x + 1

And,

x + 1 = 46 + 1 = 47.

Step-by-step explanation:

REFER TO THE ATTACHMENT!!

can we friends

Answer:

14,880: So yes, it will be greater than 12400.

Step-by-step explanation:

Because you can simplify the fraction from 1 1/5 to 6/5, and 6/5 is equal to 1.2, simply multiply 12400 by 1.2, which would get you 14800. In other words, if it was multiplying by a number less than 1.2, then it would be less than 12400.

Hope this helps!

Answer:

8 cm

Step-by-step explanation:

Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.

Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)

(√32)² + (√32)² = c²

(note: the square and the square root cancel out)

32 + 32 = 64

c² = 64 ∴ c = √64 which is 8

Hope this helps!

Answer:

The length of the diagonal is 8 cm.

Step-by-step explanation:

The side length of the square is √32 cms.

The diagonal divide the square into 2 congruent right triangles.

We use Pythagoras Theorem here:

d^2 = (√32)^2 +  (√32)^2

d^2 = 32 + 32 = 64

d = √64 = 8.

Let's see

[tex]\\ \rm\Rrightarrow {\displaystyle{\sum^{275}_{k=1}}}(-5k+12)[/tex]

[tex]\\ \rm\Rrightarrow (-5(1)+12)+(-5(2)+12)\dots (-5(275)+12)[/tex]

[tex]\\ \rm\Rrightarrow 7+5+3+2+1+\dots -1363[/tex]

So

Sum:-

[tex]\\ \rm\Rrightarrow S_n=\dfrac{n}{2}[a+l][/tex]

[tex]\\ \rm\Rrightarrow \dfrac{275}{2}(7-1363)[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{275}{2}(-1356)[/tex]

[tex]\\ \rm\Rrightarrow 275(-678)[/tex]

[tex]\\ \rm\Rrightarrow -186450[/tex]

Answer:

-186,450

Step-by-step explanation:

Sum of arithmetic series formula

[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

where:

[tex]\displaystyle \sum\limits_{k=1}^{275} (-5k+12)[/tex]

To find the first term, substitute [tex]k = 1[/tex] into [tex](-5k+12)[/tex]

[tex]a_1=-5(1)+12=7[/tex]

To find the common difference, find [tex]a_2[/tex] then subtract [tex]a_1[/tex] from [tex]a_2[/tex]:

[tex]a_2=-5(2)+12=2[/tex]

[tex]\begin{aligned}d & =a_2-a_1\\ & =2-7\\ & =-5\end{aligned}[/tex]

Given:

[tex]\begin{aligned}S_{275} & = \dfrac{275}{2}[2(7)+(275-1)(-5)]\\& = \dfrac{275}{2}[14-1370]\\& = \dfrac{275}{2}[-1356]\\& = -186450\end{aligned}[/tex]

Answer:

Mean (Average): 21.44444

Median (Middle): 22

Mode (Most Common): 29

Step-by-step explanation:

Step-by-step explanation:

6x3 (3 is because it's half of 6) =18 to find the area of I triangle, I now divide it by 2. 18÷2=9. there are 8 separate triangles so 9x8=72. now the square. 6x6=36. now add 72 + 36=108 in.

Answer:

hope this helps

Step-by-step explanation:

1) x =3 - S

2) x = 1 - O

3) x = 5 - L

4) x =. I don't understand this one. its 1/2 * 21? = V?

5) x = 10 - E

Answer:

LA = 720 , SA = 780

Step-by-step explanation:

find the missing length of the triangle using Pythagoras then use this value (8) to find the surface area of the sides and the triangle.Add up the values.

Answer:

Step-by-step explanation:

To find the lateral surface area of triangular prism, first we need to know the three sides of the triangle. Here, one side is missing and we have to find that using Pythagorean theorem. Let the unknow side of the triangle be 'c'

Pythagorean theorem,

15² + c² = 17²

225 + c² = 289

         c² = 289 - 225

         c² = 64 = 8*8

c = 8 in

a = 17 in & b = 15 in & h = 18 in

[tex]\boxed { \text{Lateral surface area = (a + b + c)*h }}[/tex]

                                = ( 17 + 15  + 8 ) * 18

                                = 40 * 18

                                = 720 in²

[tex]\boxed { \text{total surface area = LSA + 2* area of base triangles}}[/tex]

[tex]\text{ area of base triangles = 2* $ \dfrac{1}{2}*base*height $}[/tex]

                                  = base * height

                                  = 8 * 15

                                   = 120 in²

Total surface area = 720 + 120

                                = 840 in²

Step-by-step explanation:

given ponts,

(3,0)=(x1,y1)

(-6,-3)=(x2,y2)

we know,

Eqn of any line joining two points be,

(y-y1)={(y2-y1)/(x2-x1)}*(x-x1)

y-0={(-3-0)/(-6-3)}*(x-3)

y=(1/3)*(x-3)

y=(x-3)/3

3y=x-3

0=x-3y-3

x-3y-3=0

Therefore it is required eqn

Answer:

490

Step-by-step explanation:

d(x)=700-7(30)

7x 30=210

700-210=490

therefore,

r(x)=490

Answer:

the answer is 24 since 24 x 5 = 120

Step-by-step explanation:

Hope this helps you!

Answer:

See below ↓↓

Step-by-step explanation:

a₁ refers to the first term of the sequence.

That is clearly : a₁ = 6

The formula for the nth term is :

Therefore, the nth term is :