if 9 to the power of x = 27, what is x.
Method as well plz!

Answers

Answer 1

Answer: $9^x=27\n\n(3^2)^x=3^3\n\n3^(2\cdot x)=3^3\n\n3^(2x)=3^3\iff 2x=3\ \ \ /:2\Rightarrow x=1.5$

Answer 2

Answer: You can use logarithms:

Log9(27) which will give you the value of x

X= 1.5

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a restaurant manager gives a survey to all of his customers asking them to rate the quality of the service they received. he then keeps track of how many customers return to the restaurant during the next six months. last year, the results showed that of the customers who reported high quality service, 90% returned for additional meals. what conclusion can be drawn from this study. answer choices: only some customers who rate their service as high quality return for additional meals. most customers who rate their service as high quality return for additional meals. high quality services cause customers to return for additional meals. customers who will return for additional meals report a high quality of service.

Answers

I am going with : most customers who rate their service as high quality return for additional meals. Because 90% who rated it as high quality returned for additional meals.....only 10% did not. And lets say u had 100 customers that rated high quality.....90 returned and 10 did not...so that is most customers.

Answer:

Most customers who rate their service as high quality return for additional meals.

Step-by-step explanation:

Only some customers who rate their service as high quality return for additional meals. - its not this because it says only SOME and 90% is not some it is MOST but not all.

High quality services cause customers to return for additional meals - just because the restaurant has high quality service that doesn't mean that this causes them to come back for an additional meal.

Customers who will return for additional meals report a high quality of service. - its not this because it just doesn't make sense.

If the weights of 1,000 adult men in a county are plotted on a histogram, which curve is most likely to fit the histogram?

Answers

The correct answer for the question that is being presented above is this one: "C. a bell-shaped curve, better known as a normal distribution." If the weights of 1,000 adult men in a county are plotted on a histogram, the curve will most probably be a bell-shaped curve, better known as a normal distribution.

Here are the following choices:
A. a U-shaped curve, better known as a normal distribution
B. a star-shaped curve, better known as a normal distribution
C. a bell-shaped curve, better known as a normal distribution
D. a bell-shaped curve, known as an exponential distribution

Answer: C) a bell-shaped curve, better known as a normal distribution

Step-by-step explanation:plato only

Find the domain and range of the relation. A. domain: {-3, -1.5, 1.5, 3}; range: {4, 3, 1.5} B. domain: {-3, -1.5, 0, 1.5, 3}; range: {4, 3, 1.5} C. domain: {4, 3, 1.5}; range: {-3, -1.5, 1.5, 3} D. domain: {4, 3, 1.5}; range: {-3, -1.5, 0, 1.5, 3}

Answers

the domain is the x values and the range is the y values

domain : { - 3, -1.5,0,1.5,3 }
range : { 4, 3, 1.5 }

A sheet of cardboard measures 9 feet by 6 feet. Gina makes the entire sheet of cardboard into a closed box that is a perfect cube. What is the surface area of the box?

Answers

I'd call this a trick question ... at least one that's trying hard to distract you.

It makes no difference what shape Gina decided to construct with her cardboard.
Whether it was a cube, a sphere, a pyramid, or a crumpled up ball of cardboard.
As long as she used "... the entire sheet of cardboard ...", the surface area stays
the same as it was when it was just a flat sheet.

(9-feet x 6-feet) = 54 square feet

You have $1.55 worth of dimes and nickels in a jar. There are 23 coins in the jar. How many dimes do you have? How many nickels do you have

Answers

If the jar has $1.55 worth of dimes and nickels in a jar. There are 23 coins in the jar then there are 8 dimes and 15 nickels in the jar.

The total value of dimes and nickels in the jar is $1.55.

There are 23 coins in the jar.

d + n = 23 ...(1)

The total value of dimes and nickels is $1.55

0.10d + 0.05n = 1.55 ..(2)

Now, we need to solve this system of equations to find the values of "d" and "n."

We can use substitution or elimination method to solve it. Let's use the substitution method:

From Equation 1, we can rewrite it as: d = 23 - n

Now, substitute this value of "d" in Equation 2:

0.10(23 - n) + 0.05n = 1.55

2.30 - 0.10n + 0.05n = 1.55

Combine like terms:

-0.05n = 1.55 - 2.30

-0.05n = -0.75

Now, divide by -0.05:

n = -0.75 / -0.05

n = 15

Now that we have the value of "n" (nickels), we can find the value of "d" (dimes) from Equation 1:

d = 23 - n

d = 23 - 15

d = 8

Hence, there are 8 dimes and 15 nickels in the jar.

To learn more on Equation:

brainly.com/question/10413253

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i believe the answer is 35 dimes and 65 nickels (sorry if i’m wrong lol)

Calculate the average velocity or a race car when an object travels on track and passes the 300m mark at 10 seconds and the 1100m mark at 24.5 seconds. rounded to the nearest whole number.