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natali 33 [55]
3 years ago
5

A scientist wanted to measure the constant rate of the current in a particular section of the river. She released a tracker into

the river. The tracker sent her back the following information:
After 3.5 seconds since the tracker was released into the river the tracker had traveled 5.5 meters.
After 10.9 seconds since the tracker was released into the river the tracker had traveled 16.5 meters.
What is the constant rate of the current?
Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0

Answer:

1.486m/s

Step-by-step explanation:

The rate of change is defined as the change in distance divided by the change in time

Rate = ∆distance/∆time

Distance = 16.5 and 5.5

Time = 10.9 and 3.5

When we put this into the formula above, we have:

Rate of change = 16.5 - 5.5 / 10.9 - 3.5

= 11/7.4

= 1.486m/s

The constant rate of change has been calculated to be equal to 1.486m/s

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Answer:

B

Step-by-step explanation:

Substitute the x value into the right side of the function and if the value obtained is equal to the y value of the point then it is a solution.

(0, - 4) → y = 5(0) - 4 = 0 - 4 = -4 ← True

(2, 6) → y = 5(2) - 4 = 10 - 4 = 6 ← True

(4, 20) → 5(4) - 4 = 20 - 4 = 16 ← False

(4, 16) → 5(4) - 4 = 20 - 4 = 16 ← True

(0, - 4), (2, 6), (4, 16) ← possible inputs and outputs

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Ilya [14]

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2 years ago
PROBLEM #1
lesantik [10]

Answer:

  • 500 - 25w ≥ 200

Explanation:

Translate every verbal statement into an algebraic statement,

<u>1. Keith has $500 in a savings account at the beginning of the summer.</u>

  • Initial amount: 500

<u>2.  He wants to have at least $200 in the account by the end of summer. </u>

<u />

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<u>3. He withdraws $25 a week for his cell phone bill.</u>

<u />

  • Call w the number of weeks
  • Withdrawls = 25w

<u>4. Write an inequality that represents Keith's situation.</u>

  • Create your model: Final amount = Initial amount - withdrawals ≥ 500

  • 500 - 25w ≥ 200

With that inequality you can calculate how many week will pass before his account has less than the amount he wants to have in the account by the end of summer:

  • 500 - 200 ≥ 25w
  • 300 ≥ 25w
  • 300/25 ≥ w
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That represents that he can afford spending $ 25 a week during 12 weeks to have at least $ 200 in the account.

8 0
3 years ago
In a missile-testing program, one random variable of interest is the distance between the point at which the missile lands and t
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Answer:

Step-by-step explanation:

From the given data

we observed that the missile testing program

Y1 and Y2 are variable, they are also independent

We are aware that

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and V=(Y_1^2)+(Y_2)^2 has x^2 with 2 degree of freedom

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Since we have to find the density formula

U=\sqrt{V}

We use method of transformation

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There inverse function is h^-^1(U)=U^2

We derivate the fuction above with respect to u

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F_v(u)=F_v(h-^1)(u)\frac{dh^-^1}{du} \\\\=\frac{e^-\frac{u^-^}{2} }{2} (2u)\\\\=e^-{\frac{u^2}{2} }U

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3 years ago
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