Find the circumference of the circle. Round your answer to the nearest hundredth. Use 3.14 or 227 for π.


There's a picture of a circle with the radius of 21 cm

Picture of the circle:

Answer:

$66.57

Step-by-step explanation:

Cost of one DVD = $19.99

Cost of 3 DVDs = $19.99*3 =$59.97

Rate of GST = 5%

Amount of GST

= 5%* $59.97

= 0.05*59.97

= $2.9985

Rate of PST = 6%

Amount of PST

= 6%* $59.97

= 0.06*59.97

= $3.5982

Total cost of DVDs

= $59.97 + $2.9985 + $3.5982

= $66.5667

= $66.57

Answer: 53.33

Step-by-step explanation:

60 + 9x =540

540-60 = 480

480 = 9x

53.33 = x

Step-by-step explanation:

2x-8<12

+8<+8

2x<20

[tex] \frac{2x}{2} \frac{20}{2} [/tex]

x<10

Answer:

the margin of error is 0.029

Step-by-step explanation:

The computation of the margin of error is as follows;

Point estimate = sample proportion

[tex]= \hat p[/tex] = x ÷  n = 672 ÷ 1019 = 0.659

Now

= 1 - [tex]\hat p[/tex]

= 1 - 0.659

= 0.341

[tex]Z\alpha/2[/tex] = Z_0.025 = 1.96

Now

a) Margin of error = E is

[tex]= Z\alpha / 2 \times \frac{((\hat p \times (1 - \hat p ))}{(\sqrt / n)} \\\\= 1.96 (\sqrt \frac{ (0.659 \times 0.341)}{(1019)} \\\\= 0.029[/tex]

Hence, the margin of error is 0.029

Answer: Se pueden hacer 196,830,000 placas distintas.

Step-by-step explanation:

Cada placa va a tener 3 letras y 4 números.

Lo primero que tenemos que hacer es contar el numero de opciones que tenemos para cada selección, donde las selecciones van a ser.

Primera letra, segunda letra, tercera letra, primer numero, etcétera.

Entonces.

Para la primera letra tenemos 27 opciones.

Para la segunda letra también tenemos 27 opciones.

Para la tercera letra también tenemos 27 opciones.

Para el primer numero tenemos 10 opciones (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)

para el segundo numero también hay 10 opciones.

Para el tercer numero también hay 10 opciones.

Para el cuarto numero también hay 10 opciones.

El numero total de posibles combinaciones va a ser igual al producto de todos los números de opciones, en este caso es:

C = 27*27*27*10*10*10*10 = 27^3*10^4 = 196,830,000

Se pueden hacer 196,830,000 placas distintas.

Answer:

Reactants: aluminum and copper chloride.

Products: copper and aluminum chloride.

Step-by-step explanation:

Let's consider the following equation.

aluminum + copper chloride ⇒ copper + aluminum chloride

Using chemical symbols, this would be:

2 Al + 3 CuCl₂ ⇒ 3 Cu + 2 AlCl₃

The substances to the left of the arrow are the reactants: aluminum and copper chloride.

The substances to the right of the arrow are the products: copper and aluminum chloride.

A box and whiskers chart divides the data set into 4 equal parts called quartiles. (second option)

A box and whiskers chart is used to study the distribution and level of a set of scores. The values are distributed into 4 groups. Each group has a value of 25%

The whiskers represent the minimum and the maximum values. On the box, the first line to the left represents the lower quartile. 25% of the score represents the lower quartile. The next line on the box represents the median. 50% of the score represents the median. The third line on the box represents the upper quartile. 75% of the scores represents the upper quartile.

To learn more about box plots,. please check: https://brainly.com/question/27215146

#SPJ1

Answer:

she makes 22 cookies batches

Step-by-step explanation:

22*3=7 2/3

7 2/3 / 3 = 22

Answer:

Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.

Step-by-step explanation:

In order to add or subtract two fractions, a common denominator is found and then the denominators of both fractions are made equal to the common denominator.

The given fractions are:

[tex]\frac{2}{9}\ and\ \frac{1}{5}[/tex]

The common denominator is the number which is the multiple off denominators of both fractions involved.

Antonio made his first error in first step. Instead of finding a common multiple denominator, he add the denominator of both fractions which is wrong.

The correct method is:

[tex]\frac{2}{9} + \frac{1}{5}\\= \frac{2*5}{9*5} + \frac{1*9}{5*9}\\=\frac{10}{45}+\frac{9}{45}\\=\frac{19}{45}[/tex]

Hence,

Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.

Answer:

it will be increased to 6 tablespoons more so it will be 9 tablespoons in total

Step-by-step explanation:

12 divided by 4 is 3

so 3 x 3 is 9

9 tbsp i total of brown sugar

The average rate of change of f(x) on -3 ≤ x ≤ 3 is given to be

(f (3) - f (-3)) / (3 - (-3)) = -2.5

If f (-3) = 14, then

(f (3) - 14) / (3 + 3) = -2.5

(f (3) - 14) / 6 = -2.5

f (3) - 14 = -15

f (3) = -1

Answer:

3. the answer is A3

Step-by-step explanation:

you do 3x-1 and you get 3

Answer:

3. B

4. J

5. C

Answer:

around 4725

Step-by-step explanation:

Answer:

157.5 hours

Step-by-step explanation:

If Craig continued to work 21 hours for 7.5 months he would work a total of 157.5 hours.

Why?

Because if you multiply 21 seven times you get a total of 147 hours, but we still have the .5 of the month so take 21 and divide it by 2 which gives us 10.5 hours.

When you have both you outcomes ready you add 147 and 10.5 hours

Which gives us 147+10.5=157.5 hours.

Good luck :)

Answer:

c

Step-by-step explanation:

im 95% sure

Answer:

x is greater than it equal to 22

Step-by-step explanation:

Have a nice day! xoxo Arael :)

Answer:

(5 , 11)

Step-by-step explanation:

[tex]Equation\ 1\\\\\y=3x-4\\\\Equation\ 2\\\\\y=\frac{2}{5}x+9[/tex]

There are three ways to solve the systems of linear equations

1) Elimination method - where we add/subtract the equations to eliminate the variable

2) Substitution method - where we substitute one variable in the form of another variable

3) Graphing method - where we sketch the graphs of both the equations and if they intersect that point would be the solution and if they don't there is no solution

We use the second method the Substitution method which is the easiest in my opinion.

Here we got two equations so lets just substitute equation 1 with equation 2 meaning insert equation 1 into equation 2 like here:

[tex]3x-4=\frac{2}{5}x+9[/tex]

as you can see here we eliminated the variable y by substituting y in terms of x.

Now we just solve the equation algebraically

[tex]3x-4=\frac{2}{5}x+9\\3x-\frac{2}{5}x=9+4\\\frac{15x-2x}{5} =13\\\\\frac{13x}{5}=13\\\\13x=65\\x=65/13\\x=5\\[/tex]

The value of x is 5 now to find the value of y we insert the value of x in any two equations lets insert the value of x into equation 1

[tex]y=3x-4\\y=3(5)-4\\y=15-4\\y=11[/tex]

so the solution of the system of linear equations is (5 , 11)

Answer:

B. a = y - k/(x-h)²

Step-by-step explanation:

Given the expression y = a (x-h)² + k

First make  a the subject of the formula

Subtract k from both sides

y = a (x-h)² + k

y- k = a (x-h)² + k - k

y - k = a (x-h)²

Divide through by (x-h)²

y - k/(x-h)²  = a

a = y - k/(x-h)²

Hence option B is correct

Answer:

a=y-k/(x-h)^2

Answer:

20

Step-by-step explanation:

hope this helps. i am in algebra two so you can trust my answer. happy holidays stay safe

Answer:

20 Hope this helps!

Answer:

B. -3,4

Step-by-step explanation:

1. Choice D

2. Choice C

3. Choice B

4. Choice B

5. Choice C

Answer:

which class wuestion??

Answer:

the answer would be twenty

Step-by-step explanation:

20x2=40 +9=49

49=49

Step-by-step explanation:

Give the first 8 terms of the sequence. a1= -1, a2=2, a[n]=a[n-2](3-a[n-1])

Given

first term a1 = -2

second term a2 = 2

We are to get the first 8 terms. Given the sequence

a[n]=a[n-2](3-a[n-1])

a[3]=a[3-2](3-a[3-1])

a[3]=a[1](3-a[2])

a[3]=-2(3-2)

a3 = -2

a[n]=a[n-2](3-a[n-1])

a[4]=a[4-2](3-a[4-1])

a[4]=a[2](3-a[3])

a[4]=2(3+2)

a4= 10

a[5]=a[n-2](3-a[n-1])

a[5]=a[5-2](3-a[5-1])

a[5]=a[3](3-a[4])

a[5]=-3(3-10)

a5 = -3(-7)

a5 = 21

a[6]=a[n-2](3-a[n-1])

a[6]=a[6-2](3-a[6-1])

a[6]=a[4](3-a[5])

a[6]= 10(3-21)

a6 = 10(-18)

a6 = -180

a[n]=a[n-2](3-a[n-1])

a[7]=a[7-2](3-a[7-1])

a[7]=a[5](3-a[6])

a[7]= 21(3+180)

a7 = 21(183)

a7 = 3,843

a[8]=a[n-2](3-a[n-1])

a[8]=a[8-2](3-a[8-1])

a[8]=a[6](3-a[7])

a[8]=-180(3-3843)

a8 = -180(-3840)

a8 = 691,200

Answer:

H) Slope -1/4 and y-intercept -1.5

Step-by-step explanation:

The slope of the line is determined by the formula :

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\[/tex]

We can use any two points on the line lets use the ones that are shown, (-6 , 0) and (2 , -2).

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-2-0}{2-(-6)} \\\\m=\frac{-2}{8}\\\\m=-\frac{1}{4} \\[/tex]

and the y-intercept is shown in the graph where the line crosses the y-axis

In this case the line crosses the y-axis between -1 and -2 which is -1.5

so the value of slope is -1/4 and the value of y-intercept is -1.5 .So third option is our answer.

the images go in order to the graph

Answer:

A = 28.26

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Equation:   A = πr²

Given:   π = 3.14, r = 3

Step 2: Evaluate

The expression that shows the change in the amount of money Belle's dad has is (x - 25) and this can be determined by forming the linear equation in one variable.

Given :

Belle's dad lends her $10. Then Belle borrows another $15 from him.

The following steps can be used to determine the expression that shows the change in the amount of money Belle's dad has:

Step 1 - Let the total amount of money Belle's dad have be 'x'.

Step 2 - Then it is given that Belle's dad lends her $10. So the expression becomes:

= x - 10b

Step 3 - Now, it is also given that Belle borrows another $15 from her dad. So, the above expression becomes:

= x - 10 - 15

Step 4 - Simplify the above expression.

= x - 25

So, the expression that shows the change in the amount of money Belle's dad has is (x - 25).

For more information, refer to the link given below:

https://brainly.com/question/13101306