Answer:

Step-by-step explanation:
-The locust population grows by a factor and can therefore be modeled by an exponential function of the form:

Where:
is the population after t days.
is the initial population given as 7600
is the rate of growth
is time in days
-Given that the growth is by a factor of 5( equivalent to 500%), the r value will be 5
-The population increases by a factor of 5 every 22 days. therefore at any time instance, t will be divided by 22 to get the effective time for calculations.
Hence, the exponential growth function will be expressed as:

Answer:
The area of larger table is 24 square feet.
Step-by-step explanation:
Given are the length and width of small table

The area of a rectangular table is calculated by multiplying the length and width. It is also given that the length and width of the larger table is double the length and width of small table
So the length and width of larger table will be:

The area of larger table will be:

Hence,
The area of larger table is 24 square feet.
If you want to solve it the answer is 13...
If you want multiple ways to write that here are some:
3x4+2-1
3x4+1
12+2-1
12+1
Etcetera
The length of the shadow is 14.2 m
Right angle triangle:
Right angle triangle has one of its sides as 90 degrees.
The height of the building is the opposite side of the triangle.
The distance from the top of the building to the tip of the shadow is 35 m is the hypotenuse side.
The length of the shadow is the adjacent side of the triangle.
Therefore,
c² = a² + b²
b² = 35² - 32²
b² = 1225 - 1024
b² = 201
b = √201
b = 14.17
b = 14.2 m
Hence the length of the shadow is 14.2 m.
learn more about right triangle here:
brainly.com/question/4278699
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Answer:
Step 1
Use the distributive property to multiply 22 by x-5x−5.
|2x-10|+11=17∣2x−10∣+11=17
Hint
Expand using distributive property.
Step 2
Subtract 1111 from both sides.
|2x-10|=17-11∣2x−10∣=17−11
Step 3
Subtract 1111 from 1717 to get 66.
|2x-10|=6∣2x−10∣=6
Hint
Subtract one term from another.
Step 4
Use the definition of absolute value.
2x-10=62x−10=6 2x-10=-62x−10=−6
Step 5
Add 1010 to both sides of the equation.
2x=162x=16 2x=42x=4
Step 6
Divide both sides by 22.
x=8x=8 x=2x=2
Solution
x=2x=2
x=8x=8
Step-by-step explanation:
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