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Trava [24]
2 years ago
11

Write an expression involving exponents to represent the shaded area in square inches of the diagram than use that expression to

calculate the shaded area in squares inches of the diagram
Mathematics
1 answer:
Mazyrski [523]2 years ago
6 0

The expression involving exponents to represent the shaded area in square inches of the diagram is: 6²- (3² + 2²). The shaded area in squares inches of the diagram is: 23 square inches.

<h3>Expression involving exponents and shaded area</h3>

The expression is:

6²- (3² + 2²)

The shaded area:

Shaded area=6²- (3² + 2²)

Shaded area=36-(9+4)

Shaded area=36-13

Shaded area=23 square inches

Therefore the expression involving exponents to represent the shaded area in square inches of the diagram is: 6²- (3² + 2²). The shaded area in squares inches of the diagram is: 23 square inches.

Learn more about Expression involving exponents and shaded area here:brainly.com/question/12529223

brainly.com/question/12560437

#SPJ1

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Biologists tagged 139 fish in a lake on January 1, On February 1, they returned and collected a random sample
Bogdan [553]

Answer:

417 fish

Step-by-step explanation:

139/(10/30)=139*3=417

4 0
3 years ago
Prove that an = 4^n + 2(-1)^nis the solution to
olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute a_n=4^n+2(-1)^n in the equation a_n=3a_{n-1}+4a_{n-2} the equality is true.

Let's substitute first in the right hand side:

3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})

Now we use the distributive laws. Also, note that (-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n} (this also works when the power is n-2).

=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}

=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}

=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n

then the sequence solves the recurrence relation.

4 0
3 years ago
The coordinate plane shows the floor plan for a swimming pool. What is the area of the pool’s border? A. 50 square meters B. 65
kondaur [170]

////////

__________

its D

__________

///////////

7 0
3 years ago
Read 2 more answers
Fiona’s school has three hallways that make up three sides of a triangular building design. In the morning, Fiona walks 90 yards
lilavasa [31]

Answer:

"between 30 yards and 150 yards"

Step-by-step explanation:

Let one side of a triangle be x and another side be y. To find the possible lengths of the third side, it is given by:

<u><em>Possible length of 3rd side would be between "x - y" and "x + y"</em></u>

<u><em /></u>

Here, given x = 90 and y = 60, so the possible length of 3rd side would be:

90 - 60 = 30,

90 + 60 = 150

Hence, in between 30 and 150

6 0
3 years ago
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A. Suppose you have just inherited a sum of money. Let’s say you choose to invest the money. How much did you inherit? Choose an
leva [86]

Amount =$48003.20

Step-by-step explanation:

Here apply the compound interest formula;

A=P(1+\frac{r}{n} )^{nt}

where;

P=Principal amount invested = $37500

r=rate of interest as a decimal, 2.5% =0.025

n=number of compounding per year=1

t=time period the amount in invested=10

In our case, the amount after investing will be;

A=37,500(1+0.025)^{10} \\\\A=37,500(1.025)^{10} \\\\A=48003.20

Interest earned after the period= $48003.20-$37500 =$10503.20

Learn More

Compound Interest formula application: brainly.com/question/7014337

Keywords: inherit, sum, money, interest

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3 0
4 years ago
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