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astraxan [27]
2 years ago
9

Urgent

Mathematics
1 answer:
Damm [24]2 years ago
4 0

The result of our calculations about the rate and time are:

  • r=d/t
  • 200000m/hr
  • 200km/hr
  • km/hr

<h3>What is rate?</h3>

Rate can be regarded as the given object with respect to time.

falcon flies= 800,000 meters

t= 4 hours

We were given the  formula as (d = rt)

d= distance

r = rate

t = time

We can make our calculations as:

part a:

r=d/t

part b:

falcon's rate in meters per hour = 800,000 meters / 4 hours = 200000m/hr

part c:

falcon's rate in kilometers per hour=(200000m/hr *(1/1000)=200km/hr

part d:

km/hr

Learn more about rate at:

brainly.com/question/8728504

#SPJ1

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A pond has 150 fish and the population decreases by 8% each day. How many days before there are 30 fish
nlexa [21]

Answer:

19 days

Step-by-step explanation:

Given

a = 150 --- initial

r = 8\% -- rate

Required

Days when the fish gets to 30

The function is exponential and as such it follows;

y = ab^x

Where x represents the number of days and y the number of fishes

Because the fishes decreases;

b = 1 - r

So, we have:

b = 1 - 8\%

Express as decimal

b = 1 - 0.08

b = 0.92

In y = ab^x

a =150

y = 30

b = 0.92

So, we have:

30 = 150 * 0.92^x

Divide both sides by 150

0.2 = 0.92^x

Take log of both sides

log(0.2) = log(0.92^x)

Apply law of logarithm

log(0.2) = x\ log(0.92)

Make x the subject

x = \frac{log(0.2)}{log(0.92)}

x = \frac{-0.6990}{-0.0362}

x = 19.309

x \approx 19

<em>Hence, it takes approximately 19 days</em>

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2 years ago
8. A square has side length 6 inches. A parallelogram has a base of 6 inches,
wlad13 [49]

Answer:

The height is 6 inches.

Step-by-step explanation:

Area of the square = length of a side squared.

This square has area 6^2 = 36 in^2.

Area of the parallelogram =  base * height

= 6h.

As the areas are equal:

6h = 36

h = 36/6 = 6 inches.

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3 years ago
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Ann [662]
If you would like to solve the equation x^2 + 12 * x = -11, you can calculate this using the following steps:

x^2 + 12 * x = -11
<span>x^2 + 12 * x + 11 = 0
</span>(x + 1) * (x + 11) = 0
1. x = - 1
2. x = - 11

The correct result would be x = - 1, or x = - 11.
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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