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klio [65]
2 years ago
14

the length of a rectangle is 8 feet, and its area is less than 168 square feet. write and solve an inequality to represent the w

idth of the rectangle.​
Mathematics
1 answer:
finlep [7]2 years ago
3 0
If you were solving it as an equation the width would be 21.
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Describe how (2 cubed) (2 superscript negative 4) can be simplified.
Varvara68 [4.7K]

<u>Given</u>:

The given expression is (2^3)(2^{-4})

We need to determine how the expression can be simplified.

<u>Simplifying the expression:</u>

Let us determine how the expression can be simplified.

The expression is given by

(2^3)(2^{-4})

Applying the exponent rule that a^{b} \cdot a^{c}=a^{b+c} in the above expression, we get;

2^{3} \cdot 2^{-4}=2^{3-4}

Adding the exponents, we get;

2^{3} \cdot 2^{-4}=2^{-1}

Again, applying the exponent rule a^{-1}=\frac{1}{a}, we get;

2^{3} \cdot 2^{-4}=\frac{1}{2}

Thus, the simplified expression is \frac{1}{2}

Hence, the expression is simplified by adding the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Therefore, Option D is the correct answer.

8 0
2 years ago
Read 2 more answers
HELP!
aev [14]

As you can see, in the table of the first function, f(2) = 18, and in the table of the second function g(2) = 18. Then, for x = 2, f(x) = g(x). and x =2 is the solution of the equation.

Answer: x = 2.

6 0
2 years ago
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How much must be deposited today into the following account in order to have $35,000 in 7 years for a down payment on a​ house?
Rom4ik [11]

Answer:

The amount that must be deposited is $ 19973.87.

Step-by-step explanation:

We have a relation between future value present value as:

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

F=future value

P=present value

r=rate (as a decimal)

n=number of compounding periods per year

t=number of years

Now,

               assume rate as 8%

                                       35000= P (1+\frac{0.08}{12} )^{12*7}

                                or,   35000= P × 1.0067^{84}

                                      or, P = \frac{35000}{1.7522}

                                     or, P = $ 19973.87

So you must deposit $ 19973.87 today.

7 0
3 years ago
Is 39 a prime or composite number
Nata [24]
39 is a composite number
5 0
2 years ago
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Given b= 4 and c= -5, evaluate b2 - c2.<br> 41<br> -2<br> -9
irina [24]

Answer:

-9

Step-by-step explanation:

b² - c²

= 4² - (-5)²

= 16 - 25

= -9

4 0
2 years ago
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