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uranmaximum [27]
3 years ago
11

A Gentoo penguin can swim at a rate of 17 miles per hour. How many miles can a penguin swim in four hours. Use the expression rt

, where r represents rate and t represents time
Mathematics
2 answers:
marin [14]3 years ago
7 0
R*t =
17 mile per hr x 4 hours =68
blsea [12.9K]3 years ago
3 0

Answer:

The penguin traveled 68 miles.

Step-by-step explanation:

Given data

  • Rate of swimming (r): 17 miles per hour = 17 mi/h
  • Time of swimming (t): 4 hours = 4 h

We can find the distance (d) that the penguin traveled using the following expression.

d = r × t =  17 mi/h × 4 h = 68 mi ≈ 7 × 10 mi

The penguin traveled 68 miles.

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Each of the 25 balls in a certain box is either red, blue, or white and has a number from 1 to 10 painted on it. If one ball is
dem82 [27]

Answer:

Probability ball: white - P(W)P(W);

Probability ball: even - P(E)P(E);

Probability ball: white and even - P(W&E).

Probability ball picked being white or even: P(WorE)=P(W)+P(E)-P(W&E).

(1) The probability that the ball will both be white and have an even number painted on it is 0 --> P(W&E)=0 (no white ball with even number) --> P(WorE)=P(W)+P(E)−0P(WorE)=P(W)+P(E)−0. Not sufficient

(2) The probability that the ball will be white minus the probability that the ball will have an even number painted on it is 0.2 --> P(W)−P(E)=0.2P(W)−P(E)=0.2, multiple values are possible for P(W)P(W) and P(E)P(E) (0.6 and 0.4 OR 0.4 and 0.2). Can not determine P(WorE)P(WorE).

(1)+(2) P(W&E)=0 and P(W)−P(E)=0.2P(W)−P(E)=0.2 --> P(WorE)=2P(E)+0.2P(WorE)=2P(E)+0.2 --> multiple answers are possible, for instance: if P(E)=0.4P(E)=0.4 (10 even balls) then P(WorE)=1P(WorE)=1 BUT if P(E)=0.2P(E)=0.2 (5 even balls) then P(WorE)=0.6P(WorE)=0.6. Not sufficient.

Answer: E.

6 0
3 years ago
You are riding a roller coaster when a shoe falls off your foot. The function y=180−16t2 represents the height y (in feet) of th
Troyanec [42]
3

When you plug in 36 for y, you get 3
3 0
3 years ago
Which graph represents the function f(x)=−3x−2?
LenaWriter [7]

Answer:

Top left

Step-by-step explanation:

We can plug in the y intercept to find which graph has the correct one.

x = 0 is y intercept

Thus

f(0) = -3^0-2 \\f(0) = -1-2\\f(0)=-3

At this point we known the y intercept is -3 so both graph in the left is considerable.

Notice that the base is the negative, thus the graph would goes down. Therefore the top left would be correct.

4 0
4 years ago
at the start of 2014 lucys house was worth 200000. the value of the house is increased by 5% every year. work out the value of h
Galina-37 [17]

Answer:

231525

Step-by-step explanation:

2014 = 200,000

Start of 2015

200,000 x 1.05 = 210,000


Start of 2016

210 x 1.05 = 220,500


Start of 2017

220,000 x 1.05 = 231,525

8 0
3 years ago
I need help with this problem
Vitek1552 [10]

Answer:

X=13

Step-by-step explanation:

So if ΔABC ≅ ΔDEC, then that means that ∠B is ≅ ∠E. Therefore you would write the equation 3x=6x-39 and solve for X to get 13.

7 0
3 years ago
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