Is it possible to split a jackpot of $2,783,000 equally among 9 winners? Explain your answer.​

Answer:

1. Set A

2.  [tex]\textsf{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\left(a+b\right)\left(a-b\right)=a^2-b^2[/tex]

3.

[tex](x+7)(x-7)[/tex]

[tex]\implies a=x\:\textsf{and}\:b=7[/tex]

[tex]\implies x^2-7^2=x^2-49[/tex]

[tex](x-9)(x+9)=(x+9)(x-9)[/tex]

[tex]\implies a=x\:\textsf{and}\:b=9[/tex]

[tex]\implies x^2-9^2=x^2-81[/tex]

[tex](4x-3)(4x+3)=(4x+3)(4x-3)[/tex]

[tex]\implies a=4x\:\textsf{and}\:b=3[/tex]

[tex]\implies (4x)^2-3^2=16x^2-9[/tex]

4.

[tex](2x+5)(2x-5)[/tex]

[tex]\implies a=2x\:\textsf{and}\:b=5[/tex]

[tex]\implies (2x)^2-5^2=4x^2-25[/tex]

5. [tex](x-6)(x-6)[/tex]

Cannot use Difference of Two Squares Formula to expand this expression.  To expand this expression, you would need to use the FOIL method: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

[tex]\implies (x-6)(x-6)=x^2-6x-6x+(-6)^2=x^2-12x+36[/tex]

Answer:

1.Set A

2.Aplyyanses of shortcut based

[tex] \beta \sin( \sec( \cos(e \alpha \% log_{14 |kkjja| }(?) ) ) ) bcaue \: f \: thd \: \: aakdx[/tex]

Step-by-step explanation:

thire9

Answer:

[tex]y=-3[/tex] as any point on this line has a y-coordinate of -3

Answer:

12 ten inch pieces

Step-by-step explanation:

you do 120 divided by 10 to get an answer of 12

hope this helped =)

The volume of a cuboid is the product of its length, width, and height. The total volume with Selina is 360 in³.

The volume of a cuboid is the product of its length, width, and height. It is represented as,

[tex]\rm \text{Volume of Cuboid} = (Length \times Width \times Height)\ unit^3[/tex]

The volume of each of the boxes with a width of 6 in, a height of 3 in, and a length of 4 in, can be written as,

[tex]\rm \text{Volume of a single Box} = 6\ in \times 3\ in \times 4\ in = 72\ in^3[/tex]

Now, the total number of boxes Selina has is 5, therefore, the total volume with Selina can be written as,

[tex]\rm \text{Total\ Volume} = \text{Volume of a single box} \times 5 = 72\ in^3 \times 5 = 360\ in^3[/tex]

Hence, the total volume with Selina is 360 in³.

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Answer:

a diverge

b512000

c1000(2^30-1)

d

Step-by-step explanation:

t10=ar^9

=1000*2^9

s30=a(r^n-1)/r-1

=1000(2^30-1)/2-1

The geometric series given as 1000, 500, 250, 125,... is seen to be; Convergent.

A series is said to be divergent if it doesn't converge at any finite point. However, a series is said to be convergent if it converges at a finite point.

In this question, we see the series progressively reducing by one quarter of the previous number. Thus, it means that the sequence will converge close to zero and as such we can say taht the sequence is convergent.

Formula for sum of geometric series is;

Sₙ = a(1 - rⁿ)/(1 - r)

Thus;

S₁₀ = 1000(1 - 0.5¹⁰)/(1 - 0.5)

S₁₀ = 1998.05

Sum of first 30 terms is;

S₃₀ = 1000(1 - 0.5³⁰)/(1 - 0.5)

S₃₀ = 2000

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Answer:

There is a picture below of the number line with the numbers, plotted.

Step-by-step explanation:

For the 2 3/8, you would simply go to 2 and count 3 to the right becuase there are 8 points for each whole number to the next. It's pretty hard to explain sorry. For 1 3/4, you would make the denominator 8, so multiply it by 2. When we do this, we multiply both the numerator and denominator. What is done to one must be done to the other. 3*2 to get 6. 4*2 to get 8. So, 3/4 becomes 6/8. Now, we can go to 1, and count 6 points to the right to get to 1 3/4.

Answer:

1.5 cups

Step-by-step explanation:

5 - 3.5 = 1.5

Answer:

The length of A is 2. The height of A is 1.5. The Length of B is 5. The height of B is 15. The length of C is 6. The height of C is 6.

Step-by-step explanation:

Dimensions of A

Length: 4 multiplied by 1/2 is 2

Height: 3 multiplied by 1/2 is 1.5

Dimensions of B

Length: 2 multiplied by 2.5 is 5

Height: 6 multiplied by 2.5 is 15

Dimensions of C

Length: 2 multiplied by 3 is 6

Height: 2 multiplied by 3 is 6

Final answers are bolded

Answer:

four spaces to the left, and 6 spaces up.

Answer:

25.2minute

Step-by-step explanation:

75ft^2=45 minutes

1 ft^2=45/75

and, 7ft*6ft=42ft^2

42ft^2=45*42/75

=25.2minutes

Hope you like the solution. I am not sure of the answer. Mark me as brainlist.

Answer:

Step-by-step explanation:

Answer:

14.9%

When finding the unknown percentage, divide. For this case, separate 7 and 47 from the fraction and convert 7 to 7,000

[tex]0.47~/~7,000\\~~~~~~=14,893\\[/tex]

In percentage, 14,893 rounds to 14,900, which can be interpreted as 14.9%

Step-by-step explanation:

Given :-

To find :-

Solution :-

Volume of Cylinder = πr²h

3.14 × 2² × 6.5 cubic inches

Volume = 81.64 cubic inches

Answer:

81.64

Step-by-step explanation:

Volume

Given

Solving

There is likely an association between the categorical variables because the relative frequencies are not similar in value.  

Frequency describes the number of waves that pass a fixed place in a given amount of time.

A conditional relative frequency table is generated by a column from a set of data. The conditional relative frequencies of the two categorical variables are then compared.

If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data.

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Answer:

There is likely an association between the categorical variables because the relative frequencies are not similar in value.  

Step-by-step explanation:

Answer:

(x + 5)(x + 12) = 0

What are the solutions?

x = -12 or -5

Step-by-step explanation:

Hope it helps! :D

Answer:

(x + 5)(x + 12) = 0

and

x = -12 or -5

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

[tex]\dfrac{12}{20} =\dfrac{3 \times 4}{4 \times 5}= \dfrac 35\neq \dfrac 45[/tex]

The measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,

Though the real measurement is still the same the units and numerical values have been changed.

As it is given, the pool's volume or the amount of water in the pool is equal to 2.3×10⁴ units.

We know that an average swimming pool has a volume of water that is in gallons, therefore, the unit of water that will be filled in the swimming pool will be equal to 2.3×10⁴ gallons.

Hence, the measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.

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Answer:1200/d

Step-by-step explanation:

Using the arrangements formula, it is found that there is a 0.0286 = 2.86% probability that all the girls are ahead of all the boys.

The number of possible arrangements of n elements is the factorial of n, that is:

[tex]A_n = n![/tex].

The total number of outcomes is the arrangement of 7 elements, hence:

T = 7! = 5040.

The desired number of outcomes is all girls(3!), then all boys(4!), hence:

D = 3! x 4! = 6 x 24 = 144.

Hence, the probability is:

p = D/T = 144/5040 = 0.0286.

There is a 0.0286 = 2.86% probability that all the girls are ahead of all the boys.

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Answer:

[tex]\Longrightarrow: \text{The slope is 0.}[/tex]

Step-by-step explanation:

The slope formula is used to determine the slope of the line.

Slope formula:

[tex]\Longrightarrow:\sf{\dfrac{Y_2-Y_1}{X_2-X_1} }[/tex]

y2=8

y1=4

x2=(-4)

x1=(-4)

Rewrite the problem down.

[tex]\sf{\dfrac{8-4}{-4-(-4)}=\dfrac{4}{0}=\boxed{\sf{0} }[/tex]

I hope this helps! Let me know if you have any questions.

Undefined

[tex]\sf \bold{ slope \ formula : \ \dfrac{y_2-y_1}{x_2-x_1} }[/tex]

insert the following coordinates

[tex]\hookrightarrow \sf \dfrac{8-4}{-4-(-4)}[/tex]

[tex]\hookrightarrow \sf \dfrac{4}{-4+4}[/tex]

[tex]\hookrightarrow \sf \dfrac{4}{0}[/tex]

Hence, following the rule [ (a/0) is undefined ]      The slope is undefined.

Answer:

B

Step-by-step explanation:

you need to distribute the 2

this leads to (2*5)- (2*3x)

=10-6x !

Answer:

A

Step-by-step explanation:

First divide S by 4pi. Then take the square root to solve for r.

Answer:

Card 7: 59.66 Card 8: 25.12

Step-by-step explanation:

Answer:

180⁰

Step-by-step explanation:

Since the angle of straight line is 180⁰

Answer:

A and B = 180 degrees

Step-by-step explanation:

this is because a circle is 360 and a line wich would be cutting the line in half is 180. so the two andles must add up to 180 degrees.

Answer:

y = 66

Step-by-step explanation:

"11 is a quotient of a numer y and 6" can be re-written as:
y/6 = 11

To solve, multiply both sides by 6.

y = 66.

Answer:

107% if you want to be sure check

Answer: 9/10-8/10=1/10

Step-by-step explanation: The answer is 1/110