What is the minimum percentage of gasoline stations that had prices between $3.37 and $3.61

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Answer 1

Answer:
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If ST = 3, TU = 1, and SU= 9, what is ST?

Answers

Answer:

ST = 3

Step-by-step explanation:

it tells you that ST is 3

PLEASE HELP!!!!!! Which expressions are equivalent to 1/81 ? Check all that apply.8^ -1

9^ -2

9^ 8/9^4

9^8/9^10

9^ -6 · 9^3

9^5 · 9^ -7

Answers

Answer:

$9^(-2)\n\n(9^(8))/(9^(10))\n\n9^(5)*9^(-7)$

Step-by-step explanation:

Let's evaluate the answers.

Think of numbers with negative exponents as numbers on the wrong side of the fraction. So if you have a negative exponent, you put it at the bottom of the fraction or up and then you remove the negative sign.

So let's take the first answer:

$9^(-2) \:is\:actually\:equal\:to\: (1)/(9^(2))\n\n(1)/(9^(2)) = (1)/(81)}$

Now the next one, according to the law of exponents, when dividing we subtract the exponents. (But this only applies if the coefficients are the same!)

$(m^(x))/(m^(y)) = m^(x-y)$

Applying this rule to the second answer:

$(9^(8))/(9^(10)) = 9^(8-10) = 9^(-2)=(1)/(9^(2)) = (1)/(81)$

The third one:

$9^5*9^(-7) = (9^5)/(9^(7)) = 9^(5-7) = 9^(-2) = (1)/(9^2) = (1)/(81)$

If you apply the same rules to the rest of the choices, you wil find that they are not equivalent to 1/81.

The expressions that are equivalent to 1/81 are $9^(-2)$ , $(9^8)/(9^(10))$ , and $9^5 \cdot 9^(-7)$ .

To determine which expressions are equivalent to 1/81, we can simplify each expression and check if it equals 1/81.

$8^(-1)$ : This expression is equivalent to 1/8, not 1/81. Therefore, it is not equivalent. $9^(-2)$ : This expression is equivalent to 1/9², which simplifies to 1/81. Therefore, it is equivalent to 1/81. $(9^8)/(9^4)$ : This expression simplifies to $9^((8-4)) = 9^4$ , which is not equal to 1/81. Therefore, it is not equivalent. $(9^8)/(9^(10))$ : This expression simplifies to $9^((8-10)) = 9^(-2)$ , which is equivalent to 1/9². Therefore, it is equivalent to 1/81. $9^((-6)) \cdot 9^3$ : This expression simplifies to $(1)/(9^6) \cdot 9^3 = 1/729$ . Therefore, it is not equivalent. $9^5 \cdot 9^((-7))$ : This expression simplifies to $9^((5-7)) = 9^((-2))$ , which is equivalent to 1/9². Therefore, it is equivalent to 1/81.

Thus, the expressions that are equivalent to 1/81 are $9^(-2)$ , $(9^8)/(9^(10))$ , and $9^5 \cdot 9^(-7)$ .

Learn more about the expression here :

brainly.com/question/21751419

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Evaluate 16/2x8+3^2 A:7 B:10 C:70 D:73

Answers

If you would like to solve 16/2*8 + 3^2, you can do this using the following steps:

16/2*8 + 3^2 = 8*8 + 9 = 64 + 9 = 73

The correct result would be D: 73.

Answer:

It is 73

Step-by-step explanation:

Hope this helped

In triangle ABC, angle A measures 33 degrees and angle C measures 122 degrees. What is the measure of angle B?

Answers

Answer:

∠ B = 25°

Step-by-step explanation:

the sum of the three angles in a triangle = 180° , that is

∠ A + ∠ B +∠ C = 180° ( substitute values for A and C )

33° + ∠ B + 122° = 180° , that is

155° + ∠ B = 180° ( subtract 155° from both sides )

155° - 155° + ∠ B = 180° - 155° , that is

∠ B = 25°

Divided 2/7 divided by 1/3

Answers

Theansweris6/7........

Answer:

$(6)/(7)$

Step-by-step explanation:

cross multiply

2 x 3 = 6

7 x 1 = 7

The diagonals of parallelogram ABCD intersect at point E. Which of the following statements is not necessarily true?a. BD bisect AC
b. AB=CD
c. BAD=BCD
d. AC=BD