In a​ lottery, the top cash prize was ​$657 ​million, going to three lucky winners. Players pick five different numbers from 1 to 53 and one number from 1 to 43.
A player wins a minimum award of $200 by correctly matching four numbers drawn from the white balls​ (1 through 53​) and matching the number on the gold ball​ (1 through 43​). What is the probability of winning the minimum​ award?

Answer:

90 cents

Step-by-step explanation:

you divide 1.80 by 2 and get .9 which is equal to 90 cents

Answer:

$0.90

Step-by-step explanation:

literally just divide by 2

[tex]\dfrac{6x-24}{16-x^2}\\\\=\dfrac{6(x-4)}{4^2 -x^2}\\\\=\dfrac{6(x-4)}{(4+x)(4-x)}\\\\=-\dfrac{6(x-4)}{(x+4)(x-4)}\\\\=-\dfrac{6}{x+4}[/tex]

Answer:

Formula for the area of a circle;

Where 'π' represents pi(3.14 or 22/7), and 'r' represents the radius which is being squared.

Plug in the radius into this formula:-

A = π[tex]r^{2}[/tex]

A = 3.14(4^2)

A = 3.14(16)

A = 50.24 centimetres is the area for this circle.

Answer:

A) 5/12

B) 5/12

C) 0/12

D) 11/12

-------------

Q4.

A) 3/15

B) 4/15

C) 12/15

D) 8/15

-----------------

Q5.

A) 2/6 or 1/3

B) 4/6 or 2/3

C)

D)

Step-by-step explanation:

Answer:

AB=4

Step-by-step explanation:

[tex]\frac{10+x}{2}[/tex][tex]=7[/tex]

Multiply both sides by 2.

10+x=14

x=14-10

x=4

Answer: 9 sides

Step-by-step explanation:

      If this is a perfect polygon then the answer is 9 sides. A perfect polygon is a polygon where all the sides and angles are congruent to each other.

180°(n-2) = 1,260°

n - 2 = 7

n = 9

Step-by-step explanation:

Let the amount of wheat is x and amount of corn is y.

The total amount of pasta is

Amount of protein in same pasta is

or

The graphical solution is attached

It is easy to solve the system by substitution

Then the value of y is

As we see x > y, so Leila is right

The above problem is solved using Multiple Representations.  Multiple representations are used to achieve a deeper comprehension of concepts related to the same operation.

We can arrive at whether the statement is true or false by solving for the value of Y using the graphical method. Where Y is the amount of wheat and X is the amount of corn.

Our function is given as follows:
X + Y= 57. ..........1

Recall that the total amount of pasta is 57 grams

Recall as well that the total amount of protein in the pasta is given as:

0.05x + 0.1y= 4grams.......2

By inputting equations 1 and 2 into the Desmos Graph, we have x to be equal to = 34, and y = 23. (please see the attached image).

Recall that Leila's assertion was that there is more corn in the Pasta. Since x is the amount of corn, then Leila's assertion is True that: x>y.

The algebraic solution is arrived at using substitution.

Rewriting equation (1), we have

y = 57 - x .......................(3)

Let us substitute y into equation (2) above. That gives us:

0.05x + 0.1(57 - x) = 4.........................(4)

Expanding the brackets, we obtain

0.05x + 5.7 - 0.1x = 4

Collecting like terms, we can rewrite the quation as:

0.1x - 0.05x = 5.7 - 4

0.05x = 1.7

Rewriting the equation such that it is subject to x, we have

x = 1.7/0.05

x = 34

If from the above, x = 34, inputting that into equation (3) above, we have

y = 57 - 34; Therefore,

y = 23

Learn more about Multiple Representation at:
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The height of the toy is an illustration of the height function

The given parameters are:

The function of the height is calculated as:

h(t) = -16t² + Vot + H

This gives

h(t) = -16t² + 200t + 50

Hence, the velocity function is h(t) = -16t² + 200t + 50

In (a), we have:

h(t) = -16t² + 200t + 50

Differentiate

h'(t) = -32t + 200

Set to 0

-32t + 200 = 0

Subtract 200 from both sides

-32t = -200

Divide both sides by -32

t = 6.25

Substitute 6.25 for t in h(t)

h(6.25) = -16 *6.25² + 200 * 6.25 + 50

h(6.25) = 675

Hence, the time to reach the maximum height is 6.25 seconds and the maximum height is 675 feet

This is represented as

h(t) >300

So, we have:

-16t² + 200t + 50 > 300

Subtract 300 from both sides

-16t² + 200t - 250 > 0

Using a graphical calculator, we have:

t = 11.09s and t = 1.41 s

Hence, the rocket will be at a height more than 300 at 11.09s and 1.41 s

This means that

h(t) = 0

So, we have:

-16t² + 200t + 50 = 0

Using a graphical calculator, we have:

t = 12.75

Hence, the rocket will hit the ground at 12.75s

Read more about height function at:

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The area of the square pyramid building is the amount of space on it

The maximum base length of the building is 67.42 cm

The given parameters are:

Base = b

Slant height (l) = 5b

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * b * 5b

Evaluate the product

L = 10b^2

The total surface area is calculated using:

T = L + b^2

So, we have:

T = 10b^2 + b^2

Evaluate the sum

T = 11b^2

The maximum surface area is 50,000 square feet

So, we have:

11b^2 = 50000

Divide both sides by 11

b^2 = 50000/11

Take the square root of both sides

b = 67.42

Hence, the maximum base length of the building is 67.42 cm

Read more about square pyramids at:

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Answer: 71 feet

Step-by-step explanation:

Let's assume that the side length of the base of the square pyramid is x. Then, the slant height of the pyramid would be 5x, as given in the problem.

The lateral surface area of a square pyramid can be calculated using the formula:

Lateral surface area = (perimeter of base) × (slant height) / 2

The perimeter of the square base is 4x. So, the lateral surface area of the square pyramid can be written as:

Lateral surface area = 4x × (5x) / 2 = 10x^2

We are told that the construction material used for the outside of the building is between 20,000 square feet and 50,000 square feet. So, we can set up the following inequality:

20,000 ≤ 10x^2 ≤ 50,000

Dividing both sides by 10, we get:

2000 ≤ x^2 ≤ 5000

Taking the square root of both sides, we get:

44.7 ≤ x ≤ 70.7

Since we are looking for the maximum possible value of x, we can round 70.7 up to the nearest foot, which is 71 feet.

Therefore, the maximum possible side length of the base of the building is 71 feet.

Answer:

16

Step-by-step explanation:

Hope this helps

Step-by-step explanation:

[tex] \frac{1}{3x} + \frac{7}{ {x}^{2} } + \frac{x + 2}{x} [/tex]

[tex] \frac{x}{ {3x}^{2} } + \frac{21}{3 {x}^{2} } + \frac{3 {x}^{2} + 6x}{3 {x}^{2} } [/tex]

[tex] \frac{ {3x}^{2} + 7x + 21 }{ {3x}^{2} } [/tex]

Choice D

Answer:

true because there are going to be many heights already

Step-by-step explanation:

i it's true

this is because already there will be

so many heights

Answer:

above 84°/. of the vehicles have a gas mileage greater then 24 mpg

Answer:

11

Step-by-step explanation:

h - f = 7 - (-4) = 7 + 4 = 11

Answer:

15

Step-by-step explanation:

hope this helps

Answer:

that's a computer I'm sorry di ko po Alam

Step-by-step explanation:

ty sa points

Answer:

scale factor = 6

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, shape B to shape A

base of shape A = 1 , base of shape B = 6 , then

scale factor = [tex]\frac{6}{1}[/tex] = 6

After finding the ratio of their corresponding sides of triangles the scale factor we get is 6.

The difference in scale between an original item's scale and a new object that is its representation but is larger or smaller is known as a scale factor.

From figure

For small triangle:

base = 1 units

For large triangle:

base = 6 units

Now the scale factor = ratio of adjacent sides

Scale factor = (Base of large triangle)/(Base of small triangle)

Scale factor = 6/1

Scale factor = 6

Hence,

The scale factor is 6.

To learn more about the triangle visit;

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#SPJ4

Answer:

[tex]0.83[/tex]

Step-by-step explanation:

[tex]6.64 \div 8[/tex]

[tex]0.83[/tex]

Answer:

The answer should be C.)0.83, hope this helps.

Answer:

1) f(-6) = 8

2) f(3) = -2

3) f(x) = -5 when x = 4

The required recursive function will  be expressed as an = 3000 + 500n

Given the following parameters

First year salary = $30,000

If it increases by $500 each year, let the number of years be "n", then the increment after "n" years is 500n

The required recursive function will  be expressed as an = 3000 + 500n

Learn more on recursive function here: https://brainly.com/question/489759

Answer:

1/4

Step-by-step explanation:

on flipping a coin, we either get a heads or a tails and both the events are equally likely. So the probablity of getting a tails is 1/2.

Now

On rolling a die, we can get 6 possible outcomes(1,2,3,4,5,6)

But the favourable outcomes (an even number) are only 3. So the probablity of getting an even number is 3/6=1/2

In case. we have 2 events that need to occur together, we simply need to multiply their individual probablities to get the probablity of getting both the events together

So our required answer is

Step-by-step explanation:

please mark as brainliest please

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -4      y_1= -14  

     m= 3 (parallel means same slope)

an equation in the point-slope form is : y +14 =3(x+4)

Answer

$15080

Step-by-step explanation:

ok so i havent done these in a while but basically.

First, we need to find out what the 6% is.

[tex]\frac{5}{100} \times \frac{11600}{1}[/tex]

5/100 because it's PERCENT, and well we need to put the 11600 out of 1.

Wich gives us

$580. THen, we multiply that by 6, (6 years). Which gives us

$3480. Now, we add that to the $11600. WHich gives us

$15,080.

Hope this helps!

Answer:

SEQUENCE represents linear tasks sequentially performed one after the other.

WHILE a loop with a condition at its beginning.

REPEAT-UNTIL a loop with a condition at the bottom.

FOR another way of looping.

IF-THEN-ELSE a conditional statement changing the flow of the algorithm.

CASE the generalization form of IF-THEN-ELSE

Step-by-step explanation:

Always capitalize the initial word (often one of the main 6 constructs).

Have only one statement per line.

Indent to show hierarchy, improve readability, and show nested constructs.

Always end multiline sections using any of the END keywords (ENDIF, ENDWHILE, etc.).

Keep your statements programming language independent.

Use the naming domain of the problem, not that of the implementation. E.g., “Append the last name to the first name” instead of “name = first+ last.”

Keep it simple, concise, and readable.

Answer:

22x + 155

Step-by-step explanation:

9(x-3)+ 13(x+14)    use distributive law

9x - 27   + 13x + `182    gather 'like' terms

(9x+13x)  + ( -27+ 182)  simplify

22x + 155