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2 years ago

What expression is equivalent to 2^-3/2^-5?

Mathematics

1 answer:

mr_godi [17]2 years ago

6 0

2^2 , or 4
since the exponents have the same base, we can subtract the exponent of the numerator by the exponent in the denominator.

So 2^-3 - 2^-5 = 2^(-3-(-5)) = 2^2

The new exponent is 2 because -3-(-5) is equal to 2.

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A car rental agency rents cars for $26.20 per day plus $0.35 per mile driven. Your travel budget is $200. Write an inequality th

laila [671]

For this case we have to:

x: Represents the number of miles that can be traveled in a day

We have that the cost of daily car rental is given by the following expression:

$26.20 + 0.35x$

If the person has a budget of $200 then we have to:

$26.20+0.35x\leq200\\0.35x\leq200-26.20\\0.35x\leq173.8\\x\leq\frac{173.8}{0.35}\\x\leq496.57$

Thus, you can travel 496 miles in one day.

Answer:

$26.20 + 0.35x \leq200$

6 0

2 years ago

Ifr=9 and t= 11, what is the value of 2rt?<br> 50<br> O 101<br> 100<br> O 198

olasank [31]

Answer:

198

Step-by-step explanation:

2(9)(11)

Since you know that r = 9 and t = 11, you can substitute the variables to numbers. Then you just multiply to get 198. Hope this helps :)

4 0

2 years ago

Read 2 more answers

I need help with this (Image Attached)

NemiM [27]

Answer:

55,98,27

Step-by-step explanation:

To solve for the angles we must first find y with this equation

3y+5+2y-7=153

We can simplify this

5y-2=153

153+2=155

155/5=31

y=31

We now know y and can plug it into the angles

<A=2y-7

2(31)-7

62-7

<A=55

<B=3y+5

3(31)+5

93+5

<B=98

Now time for the last angle

Since angle BCA and DCB are next to each other they add up to 180

153+x=180

180-153=27

x=27

<BCA=27

4 0

2 years ago

8. Is the following statement true or false? Justify your conclusion. If a and b are nonnegative real numbers and a + b =0, then

atroni [7]

Answer:

If $a + b = 0$ then $a = 0$ and $b =0$

a | b | a + b (answer)

0 | 0 | 0

0 | 1 | 1

0 | 2 | 2

1 | 0 | 1

2 | 0 | 2

1 | 1 | 2

2 | 1 | 3

Step-by-step explanation:

Considering the following conditions for the real numbers:

$a\geq 0\\b\geq 0$

Following the rules of these in-equations, it is possible to deduce:

$a + b \geq 0$

Then, if the proposed statement is:

$a + b = 0$

The conditions above shall comply the requirements established, but first, analyzing the statement:

If $a \geq 0$ and $b \geq 0$ then $a + b \geq a$ , $a + b \geq b$ and $a + b \geq 0$ .

If $a = 0$ and b a non negative real number, then $a + b \geq b$ , but because to $a = 0$ , then $a + b = b$ . Due to the commutative property of sums, the same behavior will be presented if $b = 0$ and a a non negative real number.

According to that, if $a + b = 0$ , then $a = 0$ and $b = 0$ .

7 0

2 years ago

The perimeter of a rectangle is 46in and the diagonal is 17 in

dmitriy555 [2]

Answer + explaination

p=2*(L+l)=46

L+l=46:2

L+l=23

(L+l)^2=529

(L^2+l^2)+2l*L=529

D= V L^2+l^2= 17

L^2+l^2=289

so 289+2l*L=529

2l*L=529-289=240

l*L=240:2

A=120

4 0

2 years ago

What expression is equivalent to 2^-3/2^-5?​

What expression is equivalent to 2^-3/2^-5?