In a lottery the first prize is $1,000,000. Each succeeding prize is 1/2 of the preceding prize. How much money is allotted in 7 prizes?

Answers

Answer 1

Answer: Second: $500,000
Third: $250,000
Fourth: $125,000
Fifth: $62,500
Sixth:$31,250
Seventh:$15,625
If you need the total just add

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A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text?

Answers

Since there are 36 inches in a yard you multiply 12 and 36. That gives you 432 characters per yard.

Answer:

432 characters

Step-by-step explanation:

First we can convert 12 characters per inch in to characters per feet. Knowing that there are 12 inches per foot we know we have to multiply the 12 characters per inch by 12, giving us 144 characters per foot. Now we have to convert characters per foot to characters per yard. Knowing there are 3 feet per yard we know we have to multiply 144 characters per foot by 3, giving us a final answer of 432 characters per yard of text.

How do I factor 5x^2 + 28x + 32 ?

Answers

Factor:

5x^2 + 28x + 32 =======> Solution: ======> ( x + 4 ) ( 5x + 8 )

Steps: Factor

5x^2 + 28x + 32

Break the expressions into groups:

( 5x^2 + 20x ) + ( 8x + 32 )

Factor Out 5x^2 From 5x^2 + 20x ======> 5x( x + 4 )

Factor Out the 8 From 8x + 32 ========> 8 ( x + 4 )

= 5x (x + 4 ) + 8 ( x + 4 )

Factor Out Common term:

x + 4

Answer =====> Factor of; ==> 5x^2 + 28x + 32 ( x + 4 ) ( 5x + 8 )

Hope that helps!!!! : )

Hi! First, you want to work out your exponets. We have a 5x to the 2nd power (5x^2). Look at it as 5x•5x, “• means to multiply” so that will equal 25x. Next, put it back in the equation. That’ll be 25x+28x+32. Next step is to combine variables . The variables are 25x and 28x. this will equal, 53x. Put that back into the equation, which will now be 53x+32. This will be your answer since you cannot combine those two! Hope this works!

Help me please! asdjadahasddhasldassdassa

Answers

Answer: b

Step-by-step explanation:

because it is

HELP WROTH 15 points

Answers

Answer: A: $7.67. B: No. C: Because amount of change that was supposed to be given is supposed to be $2.24

Step-by-step explanation:

If I get it wrong i'm sorry

Please help me with this question! :)

Answers

i think it might be 2?

Answer:

Step-by-step explanation:

figure 1 had 6

figure 2 had 10

figure 3 had 14

so 6-4=2

Which of the following is a polynomial function in standard form with zeros at –8, –1, and 3?A) f(x) = (x + 8)(x + 1)(x – 3)
B) f(x) = x^3 – 6x^2 – 19x + 24
C) f(x) = x^3 + 6x^2 – 19x – 24
D) f(x) = (x – 8)(x – 1)(x + 3)

Answers

Answer:

Option: C is the correct answer.

The polynomial in standard form is:

C) $f(x)=x^3+6x^2-19x-24$

Step-by-step explanation:

The standard form of a equation of a polynomial is written as :

We arrange the terms from least to highest power of x.

We know that if a polynomial has roots as:

a, b and c then the equation of the polynomial is given by:

$f(x)=(x-a)(x-b)(x-c)$

Here we have: a= -8 , b= -1 and c=3

Hence, the equation of the circle is given by:

$f(x)=(x-(-8))(x-(-1))(x-3)\n\n\nf(x)=(x+8)(x+1)(x-3)$

which on expanding gives:

$(x+8)(x+1)(x-3)=(x^2+9x+8)(x-3)\n\n(x+8)(x+1)(x-3)=x^3-3x^2+9x^2-27x+8x-24\n\n(x+8)(x+1)(x-3)=x^3+6x^2-19x-24$

Hence, the standard equation of the polynomial is:

$f(x)=x^3+6x^2-19x-24$

The answer is A because zeros of polynomial functions are found by setting each factor equal to zero and solving for x. The zeros of a function will be the opposite sign of the numbers inside each factor.

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