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3 years ago

If (5^0)^x = 1, what are the possible values of x?

Mathematics

2 answers:

mixas84 [53]3 years ago

8 0

Answer:

x can be any value

Step-by-step explanation:

(5^0)^x = 1,

5^0 =1

1^x =1

X can be any value

Flura [38]3 years ago

4 0

For this case we have the following expression:

$(5^{ 0})^{x} = 1$

By definition of power properties we have to:

$(a ^ n) ^ m = a ^{n * m}$

Then, rewriting the expression:

$5 ^ 0 = 1$

Thus, the variable "x" can take any value:

Answer:

The variable "x" can take any value

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The function f(x) = 2x 26 represents the distance a flock of birds travels in in miles. The function g(x) = x − 1 represents the

nydimaria [60]

Speed is the ratio of distance and time. When we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.

<h3>What is speed?</h3>

Speed can be defined as the rate of change in the position of an object. It is given as,

$Speed = \dfrac{Distance}{Time}$

Given to us

Distance traveled, f(x) = 2x+26

Time, g(x) = x − 1

As we know that the ratio of distance and time is equal to the speed of the object. Since the distance traveled by the flock of birds is given also, the time needed for them to travel the distance is also given.

We need to find f divided by g of 5, which is the speed of the flock,

$Speed = \dfrac{Distance}{Time} = \dfrac{f(x)}{g(x)}$

$Speed = \dfrac{f(x)}{g(x)} = \dfrac{2x +26}{x-1}$

$Speed = \dfrac{f(5)}{g(5)} = \dfrac{2(5) +26}{(5)-1}\\\\Speed = 9 \rm\ miles/ hour$

Hence, when we divide f(x) by g(x) we will get the speed of the flock that is 9 miles/hour.

Learn more about Speed:

brainly.com/question/7359669

7 0

3 years ago

Michael bought six books that cost d dollars each.Write an equation that can be used to show the total cost (c)of the books?How

yulyashka [42]

Step-by-step explanation:

Equation is 6d (6 • d)

Actual Question:

c = 6d

Let d = 7.89

c= 6 (7.89)

c = 47.34

Michael would have spent a total of $47.34.

8 0

3 years ago

Read 2 more answers

Richie and Phoebe are saving money to buy a new tv. They need at least $510 to purchase the new TV. Phoebe weeds yards and Richi

den301095 [7]

Answer:

12x +9y ≥ 510
y ≤ 2x
y ≥ 25

Step-by-step explanation:

Phoebe earns 12x for her yard weeding, and Richie earns 9y for his dog walking. They want the sum of these earnings to be at least 510, so the first constraint inequality is ...

12x +9y ≥ 510

Richie plans to walk no more than 2x dogs, since y is the number of dogs he walks, the second constraint is ...

y ≤ 2x

Richie will walk at least 25 dogs, so ...

y ≥ 25

6 0

3 years ago

Read 2 more answers

Fay has a lemonade stand. She spends £35 on ingredients. She sells each glass of lemonade for £2.10. If she sells 50 glasses of

Zarrin [17]

Answer:

£70.00

Step-by-step explanation:

You basically want to find what she spent in total, then subtract the amount she spent on ingredients.

50 glasses of lemonade at £2.10 each would be £105. (50*2.1)

Subtract the cost of ingredients, which is £35, with the total she made, £105, to get £70 (105-35)

6 0

3 years ago

Do you agree with the researchers method of predicting the population? Why or why not?

Burka [1]

Yes, I agree with the researcher's method. All the values of $a_{n}$ in the table correspond to the values of n by using their formula.

Step-by-step explanation:

Step 1:

If we substitute the values of n in the researcher's equation and we get the right values of $a_{n}$ , we can agree with the researcher's method.

The researcher's formula is $a_{n} = 1000(2)^{n-1}.$ Here $a_{n}$ is the wombat population and n is the number of years.

Step 2:

When n = 1, $a_{1} = 1000(2)^{1-1} = 1000(1) = 1,000,$

when n = 2, $a_{2} = 1000(2)^{2-1} = 1000(2) = 2,000,$

when n = 3, $a_{3} = 1000(2)^{3-1} = 1000(4) = 4,000,$

when n = 4, $a_{4} = 1000(2)^{4-1} = 1000(8) = 8,000,$

when n = 5, $a_{5} = 1000(2)^{5-1} = 1000(16) = 16,000.$

As all the values correspond to the values on the table, I agree with the researcher's method.

6 0

3 years ago