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1 year ago

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[Brainliest Answer] A ball's position, in meters, as it travels every second is represented by the position function s(t)=4.9t^2

+450.
What is the velocity of the ball after 5 seconds?
Include units in your answer.

1 answer:

Vikentia [17]1 year ago

7 0

Should be right
$2200$

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Every day, Jorge buys a lottery ticket. Each ticket has a probability of of winning a prize. After six days, what is the probabi

Romashka [77]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Every day, Jorge buys a lottery ticket. Each ticket has a 0.16 probability of winning a prize. After six days, what is the probability that Jorge has won at least one prize? Round your answer to four decimal places.

Answer:

The probability that Jorge has won at least one prize after six days is

P(at least 1 win) = 0.6487

Step-by-step explanation:

Every day, Jorge buys a lottery ticket which has a 0.16 chance of winning a prize.

We want to find out the probability that Jorge has won at least one prize after six days.

P(at least 1 win) = 1 - P(not winning for 6 days)

We know that the probability of winning is 0.16 then the probability of not winning is

P(not winning) = 1 - 0.16 = 0.84

For 6 days,

P(not winning for 6 days) = 0.84×0.84×0.84×0.84×0.84×0.84

P(not winning for 6 days) = 0.84⁶

P(not winning for 6 days) = 0.3513

Finally,

P(at least 1 win) = 1 - P(not winning for 6 days)

P(at least 1 win) = 1 - 0.3513

P(at least 1 win) = 0.6487

6 0

2 years ago

On January 4, janelle ruskinoff deposited $2192.06 in a savings account that pays 5.5 percent interest compounded daily. How muc

Andru [333]

Answer:

$7.94

Step-by-step explanation:

We have been given that on January 4, Janelle Ruskinoff deposited $2192.06 in a savings account that pays 5.5 percent interest compounded daily. We are asked to find the amount of interest earned in 24 days.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nt}$ , where,

A = Final amount after t years,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = time in years.

24 days in years would be $\frac{24}{365}$ .

$r=\frac{5.5}{100}=0.055$

Upon substituting our given values in above formula, we will get:

$A=2192.06(1+\frac{0.055}{365})^{365\times\frac{24}{365}}$

$A=2192.06(1+0.0001506849315068)^{24}$

$A=2192.06(1.0001506849315068)^{24}$

$A=2192.06(1.0036227121284570884)$

$A=2200.001202348$

To find amount of interest earned, we will subtract principal amount from final amount as:

$I=A-P$

$I=2200.001202348-2192.06$

$I=7.941202348$

$I\approx 7.94$

Therefore, her money will earn approximately $7.94 in 24 days.

5 0

2 years ago

If x = (10 − 3i) and y = (3 − 10i), then xy = -109i and x/y =

Yuliya22 [10]

Xy = -109i
We could find the value of i by substitute the algebraic form of x and y to the equation above

xy = -109i
(10 - 3i)(3 - 10i) = -109i
(10)(3) -3i(3) + 10(-10i) - 3i(-10i) = -109i
30 - 9i - 100i -30i² = -109i

multiply both side by -1
-30 + 9i + 100i + 30i² = 109i
30i² + 9i + 100i - 109i - 30 = 0
30i² - 30 = 0
30i² = 30
i² = 1
i = -1 or i = 1

Then find the value of x and y if i = -1
If i = -1, therefore
x = 10 - 3(-1)
x = 10 + 3
x = 13

y = (3 - 10i)
y = 3 - 10(-1)
y = 3 + 10
y = 13

x/y = 13/13 = 1

Then find the value of x and y if i = 1
x = 10 - 3(1)
x = 10 - 3
x = 7

y = (3 - 10i)
y = 3 - 10(1)
y = 3 - 10
y = -7

x/y = 7/-7 = -1

The value of x/y is either 1 or -1

7 0

1 year ago

Read 2 more answers

Given: x ∥ y and w is a transversal Prove: ∠3 ≅ ∠6 Parallel lines x and y are cut by transversal w. On line x where it intersect

SOVA2 [1]

Answer:

The missing reason in the proof is transitive property

Step-by-step explanation:

<u>Statement </u> <u>Reason </u>

1. x ∥ y w is a transversal 1. given

2. ∠2 ≅ ∠3 2. def. of vert. ∠s

3. ∠2 ≅ ∠6 3. def. of corr. ∠s

4. ∠3 ≅ ∠6 4. ??????????

From the statements 2 and 3

The previous proved statement to make use of the transitive property reason or proof

∴ 4. ∠3 ≅ ∠6 4. transitive property

Note: the transitive property states that: If a = b and b = c, then a = c.

6 0

1 year ago

Read 2 more answers

An element with mass 430 grams decays by 27.4% per minute. How much of the element is remaining after 19 minutes, to the nearest

nadya68 [22]

The equation for exponential decay is $y=a*b^x$ , where <em>a</em> is the initial amount, <em>b</em> = 1 + <em>r</em> (the growth rate as a decimal number) and <em>x</em> is the number of time periods (in this case, minutes). Substituting the information we have:
$y=430(1+-0.274)^1^9
\\=430(1-0.274)^1^9
\\=430(0.726)^1^9=0.98$ . To the nearest tenth of a gram, this would be 1.0 grams.

7 0

1 year ago