The united states government produced about 10.25 billion pennies one year. how is 10.25 written in scientific notation?

that same year, about 3.0×10^7 half-dollars were produced.how many more pennies were produced that year than half-dollar? explain how u know

Answers

Answer 1

Answer: 1) 10.25 x 10^9 in scientific notation is 1.025 x 10^10

2) Now you have to subtract 10.25x10^9 - 3.0x10^7

To make that you have to put both numbers with the same power of ten.

1025x10^7 - 3.0x10^7 = 1022x10^7 more pennies than half-dollars.

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A and b are vectors such thata= 2
(-3)
and
3a-2b= 8
(-17)
Find b as a column vector.

Answers

Answer:

Step-by-step explanation:

6790

90 kk

Final answer:

To find vector b, substitute the given value of a into the equation and solve for b. The vector b is (-23).

Explanation:

To find vector b, we need to solve the equation 3a - 2b = 8 (-17). Given that a = 2 (-3), we can substitute it into the equation:

3(2) - 2b = 8 (-17)
6 - 2b = 8 (-17)
-2b = 2 (-23)
b = (-2) / (-2/23)
b = -23

So, the column vector b is:
b = (-23)

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Evaluate the expression 15x + 4 for x = −1 1/2 (20 points + Brainliest for right answer)

Answers

Answer:

11/-30 Hope this helped :)

Step-by-step explanation:

15x + 4 = -1 1/2

15x = -5 1/2

x = 11/-2*1/15

x = - 11/-30

Which integer is closest to 0 on the number line?
a. –7
b. –2
c. 1
d. 3

Answers

-7 -6 -5 -4 -3 -2 -1 01 2 3 4 5 6 7

Now you can tell me wich is the closest number.

Its 1 because -7 its past negetive and 3 too so its 1

Which of the following represents the zeros of f(x) = x3 − 12x2 + 41x − 42?7, −3, 2
7, −3, −2
7, 3, 2
7, 3, −2

Answers

Given the polynomial function $f(x)=x^3-12x^2+41x-42.$

The integer zeros should be divisors of free term -42.

The divisors of -42 are:

$\pm 1, \pm 2, \pm 3, \pm 6, \pm 7, \pm 14, \pm 21, \pm 42.$

If some of these number is zero of f(x), then f takes 0 value at this point.

Check them:

$f(1)=1^3-12\cdot 1^2 + 41\cdot 1-42=1-12+41-42=-12\neq 0;$

$f(-1)=(-1)^3-12\cdot (-1)^2 + 41\cdot (-1)-42=-1-12-41-42=-96\neq 0;$

$f(2)=2^3-12\cdot 2^2 + 41\cdot 2-42=8-48+82-42=0;$

$f(-2)=(-2)^3-12\cdot (-2)^2 + 41\cdot (-2)-42=-8-48-82-42=-180\neq 0;$

$f(3)=3^3-12\cdot 3^2 + 41\cdot 3-42=27-108+123-42=0;$

$f(-3)=(-3)^3-12\cdot (-3)^2 + 41\cdot (-3)-42=-27-108-123-42=-300\neq 0;$

$f(6)=6^3-12\cdot 6^2 + 41\cdot 6-42=216-432+246-42=-12\neq 0;$

$f(-6)=(-6)^3-12\cdot (-6)^2 + 41\cdot (-6)-42=-216-432-246-42=-936\neq 0;$

$f(7)=7^3-12\cdot 7^2 + 41\cdot 7-42=343-588+287-42=0.$

Since the third degree polynomial function may have only 3 zeros, then you can end this process and state that zeros are 2, 3 and 7, because f(2)=0, f(3)=0 and f(7)=0.

Answer: correct choice is C

Answer: Zeroes are,

7, 3, 2

Step-by-step explanation:

Here, the given cubic equation,

$f(x) = x^3 - 12x^2 + 41x - 42$

Since, at x = 7,

$f(7)=(7)^3-12* 7^2+41* 7 - 42 = 343 - 12* 49 +287 - 42 = 343 - 588 + 245=0$

Thus, 7 is one of the zeroes of f(x),

⇒ x - 7 is a factor of f(x),

By the long division method ( shown below ),

We found that,

$x^3 - 12x^2 + 41x - 42=(x-7)(x^2-5x+6)$

$=(x-7)(x^2-3x-2x+6)$ ( By middle term splitting )

$=(x-7)(x(x-3)-2(x-3))$

$=(x-7)(x-3)(x-2)$

For finding the zeroes, f(x) = 0,

$(x-7)(x-3)(x-2)=0$

⇒ x -7 =0 or x-3 =0 or x-2 =0

⇒ x = 7 or 3 or 2

If A and B are complementary angles and A = (8x+20), B = (7x-5) find A

Answers

Answer:

m∠A = 60°

Step-by-step explanation:

Complementary Angles add up to 90°

Step 1: Set up equation

8x + 20 + 7x - 5 = 90

Step 2: Solve for x

15x + 15 = 90

15x = 75

x = 5

Step 3: Find m∠A

m∠A = 8x + 20

m∠A = 8(5) + 20

m∠A = 40 + 20

m∠A = 60°

A delivery driver earns $221 for 17 hours of work. Assuming he is paid by the hour, how much will he earn in 12 hours?

Answers

Answer:

156

Step-by-step explanation:

221/17=13

13*12=156

Answer:

$156

Step-by-step explanation:

221/17=x/12

221*12=17x

2652=17x

156=x

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The united states government produced about 10.25 billion pennies one year. how is 10.25 written in scientific notation? that same year, about 3.0×10^7 half-dollars were produced.how many more pennies were produced that year than half-dollar? explain how u know

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Related Questions

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Final answer:

Explanation:

Learn more about Vectors here:

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The united states government produced about 10.25 billion pennies one year. how is 10.25 written in scientific notation?

that same year, about 3.0×10^7 half-dollars were produced.how many more pennies were produced that year than half-dollar? explain how u know