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nevsk [136]
3 years ago
7

Does the function model exponential growth or decay? f(t)=1/4⋅4^t

Mathematics
1 answer:
yarga [219]3 years ago
6 0

Answer:

This is an exponential decay

Because the base of the exponent is 1/4.4 which is less than 1

Step-by-step explanation:

What is exponential growth?

when the base of our exponential is bigger than 1, which means those numbers get bigger.

What is exponential decay?

when the base of our exponential is in between 1 and 0 and those numbers get smaller.

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A plot of land has been surveyed for a new housing development with borders AB, BC, DC, and DA. The plot of land is a right trap
sdas [7]

Answer:

m∠ABC = 119° and DC = 105 feet

Step-by-step explanation:

For better understanding of the solution see the attached figure of the trapezium ABCD :

m∠BCD = 61°

By using the property, Sum of interior opposite angles in a trapezium is supplementary ⇒ m∠BCD + m∠ABC = 180°

⇒ m∠ABC = 180° - 61°

⇒ m∠ABC = 119°

Now, to find length of DC,

Draw a perpendicular BE on CD ⇒ CD = DE + EC

AB = DE

⇒ DE = 80 feet

In ΔBEC, By using Pythagoras theorem

EC² = BC² - BE²

⇒ EC² = 65² - 60²

⇒ EC = 25 feet

Hence, DC = 80 + 25

                   = 105 feet

3 0
3 years ago
Read 2 more answers
Ayita made 5 1/2 cups of trail mix. She want to divide the trail mix into 3/4 cup servings.How many servings will she have?
lara [203]

Answer:

7

Step-by-step explanation:


3 0
3 years ago
A system of linear equations with fewer equations than unknowns is sometimes called an underdetermined system. Can such a system
elena55 [62]

Answer:

No, it cannot have a unique solution. Because there are more variables than​ equations, there must be at least one free variable. If the linear system is consistent and there is at least one free​ variable, the solution set contains infinitely many solutions. If the linear system is​ inconsistent, there is no solution.

Step-by-step explanation:

the questionnaire options are incomplete, however the given option is correct

We mark this option as correct because in a linear system of equations there can be more than one solution, since the components of the equations, that is, the variables are multiple, leaving free variables which generates more alternative solutions, however when there is no consistency there will be no solution

3 0
3 years ago
Break a part the array to show 8×6=(4×6)+(4×6)
Maksim231197 [3]
8×6= 48
4×6=24, 24+24=48

or

(4×6)+(4×6)=2×4×6=8×6
6 0
3 years ago
Xavier writes a ratio out of 18 as the decimal 0.22222222.
Digiron [165]

Answer: 4/18

Step-by-step explanation:

8 0
2 years ago
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