How come the π/6 is equal to 1/2 and radical 3 over 2?

Answer:

There are 210 different ways that 4 cards can be drawn.

There are 252 different ways that 5 cards can be drawn.

There are 120 different ways that 7 cards can be drawn.

Step-by-step explanation:

Use the combination formula

10C4 =210

10C5 = 252

10C7 = 120

The exponential function f(x) can represent growth or decay

The value of f(14) is 226.07

The given parameters are:

f(-2) = 25 and f(7) = 85

An exponential function is represented as:

f(x) = ab^x

So, we have:

ab^-2 = 25

Also, we have:

ab^7 = 85

Divide both equations.

This gives

b^9 = 3.4

Take the 9th root of both sides

b = 1.15

Recall that:

ab^7 = 85

This gives

a* 1.15^7 = 85

Solve for a

a = 31.95

So, the exponential function is:

f(x) = 31.95 * 1.15^x

Substitute 14 for x

f(14) = 31.95 * 1.15^14

f(14) = 226.07

Hence, the value of f(14) is 226.07

Read more about exponential functions at:

https://brainly.com/question/11464095

Answer:

p(chocolate chip) = 2/7

p(oatmeal) = 7/27

Step-by-step explanation:

probability = favorable outcomes/total outcomes

First, add up all the cookies in the bag.

8 + 6 + 7 + 7 = 28

Next find the probability of selecting a chocolate chip cookie. Since there are 8 chocolate chip cookies and 28 cookies in the bag, create a fraction.

p(chocolate chip) = 8/28

reduce by 4

p(chocolate chip) = 2/7

Now that the cookie was eaten that will reduce the number of chocolate chip cookies to 7 and the overall number of cookies to 27.

There are 7 oatmeal cookies and 27 total cookies, so create the fraction.

p(oatmeal) = 7/27

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[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$32000\\ r=rate\to 6.25\%\to \frac{6.25}{100}\dotfill &0.0625\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases} \\\\\\ A=32000\left(1+\frac{0.0625}{1}\right)^{1\cdot 6}\implies A=32000(1.0625)^6\implies A\approx 46038.78[/tex]

Step-by-step explanation:

2X - 20 =86 ( Alternate angles are equal)

2X = 86 - 20

2X = 66

X = 33

Answer:

Step-by-step explanation:

The graph of the function g(x) is a quadratic equation

The possible equation of the function f(x) is f(x) = 2(x - 3)^2 + 3

From the question, we have:

g(x) = x^2 --- the equation of the graph

The function f(x) is in the first quadrant.

This means that the function g(x) is shifted right and up.

This is represented as:

f(x) = (x - h)^2 + k

When stretched, the function becomes

f(x) = a(x - h)^2 + k

Where:

a > 0

From the list of given options;

The equation that has the form f(x) = a(x - h)^2 + k is

f(x) = 2(x - 3)^2 + 3

Hence, the possible equation of the function f(x) is f(x) = 2(x - 3)^2 + 3

Read more about function transformation at:

https://brainly.com/question/17586310

Step-by-step explanation:

line equation

y = ax + b

a is the slope, b is the y-intercept.

a slope perpendicular to another slope flips x and y upside down and flips the sign.

so, the slope perpendicular to 2/7 is -7/2.

so, our desires line function looks like

y = -7/2 × x + b

to get b we use the given point (and it's x and y coordinates = values).

-8 = -7/2 × 8 + b = -7×4 + b = -28 + b

b = 20

so, the full line equation is

y = -7/2 × x + 20

Answer:

42 degrees

Step-by-step explanation:

Complimentary angles are two angles whose total is equal to 90 degrees. Since we already know that Angle N measures at 48 degrees, all we have to do is subtract that from 90 degrees to find the measure of Angle I.

90 - 48 = 42

So, the measure of Angle I is 42 degrees! It's pretty easy finding complementary angles once you know how to. I hope this helps! Have a lovely day!! :)

(p.s. I do teaching textbooks too)

Answer:

Step-by-step explanation:

Complementary angles add up to 90°

∠I + ∠N = 90

∠I  + 48 = 90

    ∠I = 90 - 48

∠I = 42°

Answer:

9

Step-by-step explanation:

He would need to by 9 boxes. There might be some left over pencils.

Answer:

The first one. Top left.

Step-by-step explanation:

The top right one makes a triangular prism.

I don't even know if the bottom right is even a thing.

The bottom left is a cube.

Answer: Top left.

Step-by-step explanation: The net of a rectangular prism doesn't have any triangles, so that eliminates the two nets that have triangles.  The net with only squares is the net of a cube, so that isn't right either.  The net above the net of a cube is the correct answer, because it includes rectangles and looks exactly like the net of the rectangular prism.

Let me know if this is right! :)

Answer:

7x - 3, x being the number

Step-by-step explanation:

number = x

7x - 3

Answer:

Three less than 7 times a number is 39.

Step-by-step explanation:

Answers:

Angle T = 79 degrees

Angle V = 14 degrees

=========================================================

Work Shown:

T + V = 93

(2x+85) + (5x+29) = 93

7x+114 = 93

7x = 93-114

7x = -21

x = -21/7

x = -3

This x value is used to find each angle mentioned.

As a check, T+V = 79+14 = 93 which confirms our answers.

Answer:

An alternate interior angle, c, 180 degrees

Step-by-step explanation:

did it

The total cost of producing Q units of a given product is given by TC = 500+ 4Q2-12Q. Compute Marginal cost and average cost

Step-by-step explanation:

Using the permutation formula, it is found that it's number as a ratio of factorials is given by:

[tex]N = \frac{9!}{4!}[/tex]

The order in which the letters are chosen is important, hence the permutation formula is used to solve this question.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, five letters will be chosen from a set of nine, hence:

[tex]N = P_{(9,5)} = \frac{9!}{(9-5)!} = \frac{9!}{4!}[/tex]

More can be learned about the permutation formula at https://brainly.com/question/25925367

Answer:

10 large bags and 11 small bags because 10*9=90 and 156-90=66 and 6*11=66 so 90+66=156

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

EZ

Answer:

Mary has $1120

Step-by-step explanation:

money mary has at first : x

money jane has at first : y

Mary brought twice as much money as Jane : x=2y

Mary had spent $800 and Jane had spent $240, they had equal amount of money left : x-800=y-240

=> [tex]\left \{ {{x=2y} \atop {x-800=y-240}} \right.[/tex]

=> x=1120

y=560

Answer:

Step-by-step explanation:

Let the amount mary and jane had be 2x and x respectively.

Let the equal amount be y:

[tex]mary \: (y = 2x - 800) \\ jane \: (y = x - 240)[/tex]

Using the simultaneous equation method, multiply the first equation by the coefficient of x(1) of the second equation and the second equation by the coefficient of x(2) of the first equation:

[tex]y = 2x - 800 \\ 2y = 2x - 480[/tex]

Subtract the second equation from the first equation:

[tex] - y = - 320 \\ y = 320[/tex]

$320 was their equal amount.

Substitute 320 for y in any equation:

[tex]y = x - 240 \\ 320 = x - 240 \\ x = 320 + 240 \\ x = 560 \\ \\ 2x = 1120[/tex]

Therefore, Jane had $560 at first and Mary had $1120 at first.

Answer:

£29.75.

Step-by-step explanation:

15% = 0.15 as a decimal fraction.

Sale price = 35 - 0.15*35

= £29.75.

Answer:

$600,000

Step-by-step explanation:

GIven;

Alex had $750,000 he lost 80%

To Find;

How many dollars did he lose ​

Solve;

$750,000 * 80% = 600,000

Hence, Alex lost $600,000.

~Learn with Lenvy~

Answer:75,000

Step-by-step explanation:he has 750,000 but he loses 80% so he has 75,000 about.

Answer:

You are looking for 1/2 OF 2/3

In word problems such as this OF

means to multiply.

(1/2)(2/3) = 2/6 = 1/3

Step-by-step explanation:

Answer:

The area would be 600.25 because 49 x 12 1/4 will equal the answer 600.25.

Answer:

     D.  34 in

Step-by-step explanation:

You are given the formula for the diagonal in terms of the edge lengths of the cuboid. To find the diagonal, use the given numbers in the given formula.

  Diagonal = √((24 in)² +(18 in)² +(16 in)²) = √(576 +324 +256) in = √1156 in

  Diagonal = 34 in

Answer:

68.75 Percent

Step-by-step explanation:

11/16 =0.6875

0.6875 into percent is 68.75

Answer:

A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column.

Answer:

14) B. 9

15) C. (7 x 3)cm

Step-by-step explanation:

14) The area of of parallelogram ABCD is 63 and the altitude is 7

divide 63 by 7 = 9

15) The length of OC is twice the length of EO so CE = 1(7) + 2(7) = 3(7)

Answer:

14. B

15. C

Step-by-step explanation:

Question 14

Area of a parallelogram = base × altitude

Given:

Substituting the given values into the formula and solve for AB:

⇒ Area = base × altitude

⇒ 63 = AB × 7

[tex]\sf \implies AB=\dfrac{63}{7}[/tex]

⇒ AB = 9cm

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Question 15

Median:  the line segment from the vertex to the midpoint of the opposite side.

Median Theorem:  the medians of a triangle intersect at a point called the centroid.  The centroid is two-thirds of the distance from the vertices to the midpoint of the opposite sides.

Therefore,

[tex]\sf CO=\dfrac23CE \implies EO=\dfrac13CE[/tex]

Given:

Substituting the given values into the formula and solve for CE:

[tex]\sf \implies EO=\dfrac13CE[/tex]

[tex]\sf \implies 7=\dfrac13CE[/tex]

⇒ CE = (7 x 3) cm

Answer:

405g of flour, 3 teaspoons baking powder, 6 tablespoons sugar, 390ml of milk and 3 eggs and 6 tablespoons of oil

Step-by-step explanation:

She wants to triple the recipe, so she must multiply each amount of each ingredient by three:

135 × 3 = 405

1 × 3 = 3

2 × 3 = 6

130 × 3 = 390

1 × 3 = 3

2 × 3 = 6