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3 years ago

The number 10^55 is how many times the number 2 × 10^11 ?

Mathematics

1 answer:

Nikolay [14]3 years ago

6 0

Answer:

5 × 10^43

Step-by-step explanation:

we know that

To find out how many times the number 10^55 is greater than the number 2 × 10^11, divide the number 10^55 by the number 2 × 10^11

Remember that

To divide two numbers in scientific notation, divide their coefficients and subtract their exponents

$\frac{10^{55}}{2*10^{11}}=(\frac{1}{2})(\frac{10^{55}}{10^{11}})=0.5*10^{(55-11)}=0.5*10^{44}$

we have that

$0.5=5*10^{-1}$

substitute

$(5*10^{-1})(10^{44})=5*10^{(44-1)}=5*10^{43}$

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A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the

ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

$\displaystyle h = 29.4t - 4.9 {t}^{2}$

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

$\displaystyle \rm t= \frac{ - b}{ 2a}$

$\displaystyle H_{\text{max}}=f(t)$

notice that, our given function is not in standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

let's make it so

$\displaystyle h = - 4.9 {t}^{2} + 29.4t$

therefore we got

our a is -4.9 and b is 29.4

so substitute:

$\displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9}$

remove parentheses and change its sign:

$\displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9}$

simplify multiplication:

$\displaystyle\rm t= \frac{ -29.4}{ - 9.8}$

simplify division:

$\displaystyle \: t = 3$

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2$

simplify square:

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9$

simplify mutilation:

$\displaystyle H_{\text{max}}=88.2-44.1$

simplify substraction:

$\displaystyle H_{\text{max}}=44.1$

hence,

the maximum height of the baseball is 44.1 metres

4 0

3 years ago

Read 2 more answers

Leeza is making labels in the shape of parallelograms Each label has an area of 18 square centimeters and a base of 6 centimeter

stich3 [128]

I think it's 3

It should be 3 because if you have a base of 6 then your height must be 3 to get 18.

5 0

3 years ago

Read 2 more answers

Don is paid $4.75 on each class ring sold. How much will he earn if he sells 90 class rings?

Mice21 [21]

He will earn $427.50 because $4.27 times 90 equals $427.50

8 0

3 years ago

Solve each problem using proportions. Show work.

irina [24]

You put 15 over 65 is equal to 50 over x, then you multiply diagonally so 15x = 3250 then you divide both sides by 15 to get 216.67 which means 50 pencils equals 2.17 dollars

8 0

3 years ago

2. What is the variable in the expression: 13x3 +7 (Select one answer) 7 3 13

sdas [7]

I think it would be 3

3 0

2 years ago