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ANTONII [103]
1 year ago
5

Pls help due in 10 minutes!!!

Mathematics
2 answers:
Luden [163]1 year ago
8 0

Answer:

\sf 500,000,000,000=5 \times 10^{11}

\sf 0.00000000005=5 \times 10^{-11}

Step-by-step explanation:

<u>Scientific notation</u>

\large\boxed{a \times 10^n}  

where:

  • 1\leq a < 10
  • n is any positive or negative <u>whole number</u>.

To convert a number into scientific notation, <u>move</u> the decimal point to the <u>left or right</u> until there is <u>one digit</u> to the left of the decimal point.

The number of times you have moved the decimal point is n.

  • If the decimal point has moved to the <u>left</u>, n is positive.
  • If the decimal point has moved to the <u>right</u>, n is negative.

To convert 500,000,000,000 into scientific notation, move the decimal point <u>11 places to left</u>, so a = 5.  As we have moved the decimal point 11 places to the left, the exponent "n" is 11 and is <u>positive</u>.

\implies \sf 500,000,000,000=5 \times 10^{11}

To convert 0.00000000005 into scientific notation, move the decimal point <u>11 places to the right</u>, so a = 5.  As we have moved the decimal point 11 places to the right , the exponent "n" is 11 and is <u>negative</u>.

\implies \sf 0.00000000005=5 \times 10^{-11}

Learn more about scientific notation here:

brainly.com/question/28235385

AnnZ [28]1 year ago
5 0

Answer:

top 5 times 10 to the 1`

bottom 5 times 10 to the -11

Step-by-step explanation:

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Step-by-step explanation:

Cost of membership = $20

Price of a game per month = $5

So, the linear equation to compute the total cost for a member can be computed by:

C(x) = 5x + 20

where x is the number of games per month

On the other hand, non-members can get one more game per month for $7 which means they get 2 games for $7. The price for a single game is $7/2 = $3.5 a month.

The linear equation to compute the total cost for a non-member is:

C(x) = 3.5x

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The following system of equations can be used to decide whether to become a member or not, by substituting the number of games in place of x and finding out the total cost.

C(x) = 5x + 20 (for members)

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18. A soccer ball is kicked upward from a height of 1.5 feet with an initial vertical velocity of 35 feet per second. Its
NemiM [27]

Answer:

Part a) -16t^{2}+35t+1.5=0

Part b)

a=-16\\b=35\\c=1.5

Part c) The soccer ball will take 2.23 seconds to reach the ground

Step-by-step explanation:

we have

h(t)=-16t^{2}+35t+1.5

where

t  is the time the ball has been in the air, in seconds

h(t) is the height, in feet, of the  soccer ball

Part a) Write an equation that could be used to determine the time the ball traveled before it hit the ground

we know that

When the ball hit the ground, the value of h(t) is equal to zero

so

For h(t)=0

-16t^{2}+35t+1.5=0

This equation can be used to determine the time the ball traveled before it hit the ground

Part b) Determine the values of a, b, and c

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^{2}+35t+1.5=0

so

a=-16\\b=35\\c=1.5

Part c)  How long will it take for the soccer ball to reach the ground after it was kicked?

Solve the quadratic equation by the formula

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

we have

a=-16\\b=35\\c=1.5

substitute the values

x=\frac{-35(+/-)\sqrt{35^{2}-4(-16)(1.5)}} {2(-16)}

x=\frac{-35(+/-)\sqrt{1,321}} {-32}

x_1=\frac{-35(+)\sqrt{1,321}} {-32}=-0.04  ---> cannot be a solution (is negative)

x_2=\frac{-35(-)\sqrt{1,321}} {-32}=2.23

therefore

The soccer ball will take 2.23 seconds to reach the ground

4 0
3 years ago
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