How many ways are there to give 12 identical cookies to three children, so that each child has at least two cookies?

Answer:

3.) b) The straight line that divides the parabola into half.

4.) b) 1/11^4

Explanation:

3. The axis of the symmetry is the straight line that divides the parabola into half.

Note down: the image below which shows a parabola (red line) and axis of symmetry (blue line).

4. Formula's: [tex]a^{-1} = \dfrac{1}{a}[/tex] , same with [tex]a^{-4 } = \dfrac{1}{a^4}[/tex]

So here: [tex]11^{-4}[/tex] is equivalent to [tex]\dfrac{1}{11^4}[/tex] which later equals to [tex]\dfrac{1}{14641}[/tex]

Answer:

vertex  =  (1/4 , -81/8)

Step-by-step explanation:

f(x) = y

f(x) = 2x²-x-10

a= 2

b= -1

c = -10

-b/2a

-(-1)/(2(2))

1/4

x = 1/4

f(x) = 2x²-x-10

y = 2x²-x-10

y = 2(1/4)²-(1/4)-10

y = 2/16-1/4-10

y = 2/16-4/16-160/16

y = -2/16-160/16

y = -162/16

y = -81/8

Using the Fundamental Counting Theorem, there are 240 ways to choose general education courses from these 4 areas.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

Considering the number of options for each course, the parameters are given as follows:

[tex]n_1 = 5, n_2 = 4, n_3 = 4, n_4 = 3[/tex].

Hence the number of ways is given by:

N = 5 x 4 x 4 x 3 = 240.

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Answer: Addition Rule

Step-by-step explanation:This is the probability that either one or both events occur. a. If two events, say A and B, are mutually exclusive - that is A and B have no outcomes

The expression that can be used to find the area of the tiled floor is 4w² + 200w

Length = 70 Meters

Width = 30 meters

Area = length × width

= 70 × 30

= 2100

Length = 70 + 2w meters

Width = 30 + 2w meters

Area = length × width

= (70+2w) (30+2w)

= 2100 + 140w + 60w + 4w²

= 4w² + 200w + 2100

Area of the tiled floor = Area of new rectangle - area of old rectangle

= (4w² + 200w + 2100) - 2100

= 4w² + 200w + 2100 - 2100

= 4w² + 200w

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The simplified function of [tex]f(x) = \frac 14(\sqrt[3]{108^x})[/tex] is [tex]f(x) = \frac {3^x}4(\sqrt[3]{4})^x[/tex]

The function is given as:

[tex]f(x) = \frac 14(\sqrt[3]{108^x})[/tex]

Expand 108

[tex]f(x) = \frac 14(\sqrt[3]{27 * 4})^x[/tex]

Take the cube root of 27

[tex]f(x) = \frac 14 * 3^x(\sqrt[3]{4})^x[/tex]

Evaluate the product

[tex]f(x) = \frac {3^x}4(\sqrt[3]{4})^x[/tex]

Hence, the simplified function of [tex]f(x) = \frac 14(\sqrt[3]{108^x})[/tex] is [tex]f(x) = \frac {3^x}4(\sqrt[3]{4})^x[/tex]

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The percent that the cost price is less than the marked price will be 40%.

Let the cost price be 100.

Since the marked price of an article is 40% above the cost price, the marked price is 140.

The percent that the cost price is less than the marked price will be:

= 140 - 100

= 40%

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B and C are the letters from the table which have like terms which is denoted as option B.

This is referred to a type of polynomial which has two terms and is the sum or difference of a monomial.

From the table we can deduce the following:

B and C have a degree of 1 which means they are like terms thereby making them the most appropriate choice.

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Answer:

option 2 is correct

Step-by-step explanation:

The student that earned a score of 21 or higher on the quiz has a cumulative frequency of 7 and the relative cumulative frequency of 14%

This refers to the pictorial representation of data that is used to show the distribution of numerical data.

From the given image, the histogram shows the quiz scores of students and the frequencies, and the relative cumulative frequency was gotten  by dividing the frequency of each interval by the total number of observations

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Answer:

0.8 hrs it take to drive 80 km at 100 km an hour

Step-by-step explanation:

Hello,

Answer:

48 min

Step-by-step explanation:

Cross product :

80 km   ⇒  x h

100 km  ⇒ 1 h

x = (1 × 80)/100 = 8/10 = 0,8 h    

                                   = 0,8 × 60 min

                                  = 48 min

Answer:

Step-by-step explanation:(-4, -1) --> (4, -1). Translating two units to the right means adding two units to the x-coordinate: (4, -1) --> (6, -1). This is our final point

The attached graph represents a histogram that has a range of 55

The range is given as:

Range = 55

The range is calculated as:

Range = Maximum - Minimum

So, we have:

Maximum - Minimum = 55

Rewrite as:

Maximum = Minimum + 55

Let the minimum be 10.

So, we have:

Maximum = 10 + 55

Evaluate

Maximum = 65

The following dataset can be used to create the histogram

Score   Frequency

10           2

15            5

45          3

65         1

This is so because it has a range of 55

See attachment for the histogram

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Answer:

72

Step-by-step explanation:

Given the initial point( x₁,y₁) and the final point( x₂,y₂ ), the midpoint of the line is ( 1, 1 ).

From the graph;

Using midpoint formula;

[tex]( \frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

We substitute in our values

[tex]( \frac{0+2}{2},\frac{4+(-2)}{2}) \\\\( \frac{2}{2},\frac{4-2)}{2}) \\\\( \frac{2}{2},\frac{2}{2}) \\\\( 1, 1 )[/tex]

Given the initial point( x₁,y₁) and the final point( x₂,y₂ ), the midpoint of the line is ( 1, 1 ).

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Answer:

[tex]5\sqrt{3}[/tex]

Step-by-step explanation:

the sides of a 30 60 90 triangle are x, 2x, and [tex]x\sqrt{3}[/tex], with [tex]x\sqrt{3}[/tex] being opposite to the 60 degree angle, and x being adjacent to the 60 degree angle. If [tex]x\sqrt{3}[/tex] = 15 (as given from the image), you can calculate x to be [tex]5\sqrt{3}[/tex].

I don't know please help me

Answer:

(c - 2d) (3a - 2b)

Step-by-step explanation:

if you need the steps just ask me in the comments and I’ll type them lol

This exercise is about Linear Functions. From the values given, we can state that:

Given that the table represents a  linear function, so the function is a straight line.

Taking two points

(-12, 17)

(-10, 19)

To determine the slope between (-12, 17) and (-10, 19), we need to use the formula:

Slope = (y2-y1)/(x2 - x1)

Recall that:

(x1, y1) = (-12, 17); and

(x2, y2) = (-10, 19)

m = 19 -17/-10 -17

m = 1

Leveraging the point-slope to create the linear equation, we have:

y-y1 = m(x-x1)

where m is the slope of the line and (x₁, y₁) is the point substituting the values m = 1 and the point (-12, 17). Hence, we have:

y-y1 = m(x-x1)

→ y-17 = 1 (x-(-12))

→ y - 17 = x +12

y = x + 12 + 17

y = x + 29 ..................................Linear Equation

Next, we substitute x = -8 into the Linear Equation

y = (-8) + 29
y = 21

Hence, the missing y = 21; and

The missing x = -8

If we substitute y = 23 into the equation, we have:

y = x + 29
23 = x + 29
x = 29 - 23

x = 6

Thus, when the value of y = 23, the missing x is = 6

Conclusively,

The value of missing x = 6

The value of missing y = 21

Full Question

Determine any data values that are missing from the table, assuming that the data represent a linear function.

X Ix ly |-12 17 -10 19 -8 23

a. Missing x:-6 Missing y:22

b. Missing x:-7 Missing y:22

c. Missing x:-7 Missing y:20

d. Missing x:-6 Missing y:21

Please select the best answer from the choices provided.

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Susan investment = $6000

John investement = $4000

Pria investment = $12000

investment proportion of Susan, John and Pria = 6:4:12= 3:2:6

Hence, Pria share in profit = (6/11)*$12000

                                            = $ 6,545.454

Answer:

Pria receives $4941.18 of the profits.

Step-by-step explanation:

• Susan invested $6,000,

• John invested $4000,

• Pria invested $7000.

The ratio of their investments Susan : John : Pria is 6000 : 4000 : 7000 ,

⇒ 6 : 4 : 7

This means that Pria should receive 7/17 th of the total profits.

∴ Pria receives = [tex]\frac{7}{17}[/tex] × $12,000

                         = $4941.18

Answer:

445788

Step-by-step explanation:

OMG too difficult man!!

Thanks to my calculator to solve this hard question

Answer:

20

Step-by-step explanation:

-3(-6+4)+2y(-6+-4)

18 - 12 - 12y - 8y

6 +-20y

Answer:

A. there is exactly one solution. the solution set is {(2, 0)}.

Step-by-step explanation:

3x + 8y = 6

3x - 8y = 6

when we add these 2 equations, we get

6x + 0 = 12

6x = 12

x = 2

now we use one of the original equations to get y :

3×2 + 8y = 6

6 + 8y = 6

8y = 0

y = 0

Answer:

Step-by-step explanation:

To achieve the goals, he needs to make 29.75 sales and 30 sales as add-on sales.

Since we have given that,

A total number of sales = 35

According to the question, his goal is to make add-on sales during 85% of sales.

So, His added sales would be 85% of sales,

A percentage calculator computes a number of values involving percentages, including the percentage difference between two given values.

85  percent of 35

[tex]=(\frac{85}{100}) \times 35\\[/tex]

=29.75

To achieve the goals, he needs to make 29.75 sales and 30 sales as add-on sales.

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The system of equation that will represent her situation is as follows:

1.39b + 2.49m = 50.73

1.29b + 2.69m = 51.63

At store A she will pay a total sum of $50.73 for bread and milk.

At store B she will pay a total sum of $51.63  for bread and milk.

Therefore, the system of equation that will represent her situation is as follows:

where

Therefore,

1.39b + 2.49m = 50.73

1.29b + 2.69m = 51.63

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The solution to the inequalities x + 8y ≤ 50, x ≤ 30, y > 2 is the darker region shown on the graph.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the number of individual songs and y represent the number of albums, hence:

x + 8y ≤ 50   (1)

x ≤ 30    (2)

y > 2   (3)

The solution to the inequalities x + 8y ≤ 50, x ≤ 30, y > 2 is the darker region shown on the graph.

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The amount of money​ you'll have at the end of 10 years is $3900.

Given that, P=$3000, R=3% and T=10 years.

The formula to find the simple interest is [tex]Interest=\frac{P \times T \times R}{100}[/tex].

Now, simple interest [tex]=\frac{3000 \times 10 \times 3}{100}=\$900[/tex].

Amount=Simple Interest+Principal

=900+3000=$3900

Therefore, the amount of money​ you'll have at the end of 10 years is $3900.

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Answer:

4.5

Step-by-step explanation:

1+2+3+4+5+6+7+8= 36

36/8= 4.5

[tex] \frac{2}{5} \: \: and \: \: \frac{3}{2} [/tex]

L.C.M. of 5 and 2 = 10

[tex] \frac{2 \times 2}{5 \times 2} = \frac{4}{10} \\ \\ \frac{3 \times 5}{2 \times 5} = \frac{15}{10} [/tex]

[tex] \frac{5}{10} , \frac{6}{10} , \frac{7}{10} , \frac{8}{10} , \frac{9}{10}, \frac{10}{10} , \frac{11}{10} , \frac{12}{10} , \frac{13}{10} , \frac{14}{10} [/tex]

The 10 rationals numbers are :

[tex] \frac{1}{2} , \frac{3}{5} , \frac{7}{10} , \frac{4}{5} , \frac{9}{10} , \frac{1}{1}, \frac{11}{10} , \frac{6}{5} , \frac{13}{10} , \frac{7}{5} .[/tex]