What equation is equivalent to 9^x - 3 = 729?

Answers

Answer 1

Answer: 9^(x-3) = 9^3

Step-by-step explanation:

Realizing that 729 = 9^3, we can rewrite the equation ...

9^(x -3) = 729

as ...

9^(x -3) = 9^3 . . . . . . matches the second selection

__

Recognizing that 9 = 3^2, a couple of other equivalent forms can be made.

(3^2)^(x -3) = (3^2)^3

3^(2x-6) = 3^6

or, taking the square root, ...

3^(x -3) = 3^3

None of these forms match any answer choices.

_____

The solution will be found by matching exponents:

x -3 = 3

x = 6


Related Questions

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. Hint: the sample proportion ( p hat) is x/n. n=195, x= 162; 95% confidence

Answers

Answer:

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. 16)n = 182, x = 135; 95 percent

✓ 16)n = 182, x = 135; 95 percent sample proportion: p-hat = 135/182 = 0.74 E = 1.96*sqrt[0.74*0.26/182] = 0.0637 95% CI: 0.74-0.0637 < p < …

I'LL GIVE BRAINLIST TO THE FIRST ANSWER

Answers

Answer:

4

Step-by-step explanation:

2/5*100 = 40

40/10 =4

Answer:

4

Step-by-step explanation:

2/5 of a century is 40 years. 40 years is 4 decades

____________________

Answers

Answer:

the equation for that line would be y=0

Step-by-step explanation:

The slope is 0 so if one were to plug in 0 as a slope to y=mx+b you would get y=0x which can be simplified to y=0. Hope this helped. :)

If ∠X and ∠Z are complementary, and the measure of ∠Z is 45°, what is the measure of ∠X?

Answers

Answer:

The measure of ∠X is 45°.

Step-by-step explanation:

Complementary angles are two angles that have a sum of 90°.

I subtracted 45 from 90 (90-45) and got 45°.

Help on this math question. 25 points.

Answers

Answer:

the third one

Step-by-step explanation:

X=180-(67+52) this is the correct answer

Find 0% of 200:

Find 100% of 200:

Find 50% of 200:

Find 25% of 200:

Find 75% of 200:

Answers

Answer:

0

200

100

50

150

Step-by-step explanation:

0% of 200 = 0

100% of 200

= ( 100 / 100 ) x 200

= 1 x 200

= 200

50% of 200

= ( 100% of 200 ) / 2

= 200 / 2

= 100

25% of 200

= ( 50% of 200 ) / 2

= 100 / 2

= 50

75% of 200

= ( 75 / 100 ) x 200

= ( 75 x 200 ) / 100

= 75 x 2

= 150

What is the solution to 9 x 9?

Answers

Answer:

81

Step-by-step explanation:

dude, it's one of the fast facts

Answer:

81

Step-by-step explanation:

We can round one of the 9's to ten then multiply it

9*10=90

then subtract the 9 that we added

90-9=81

I need to know what one to pick I will send an image to go with it ​

Answers

Answer: um do you need help because I don’t see the question or the picture you are talking about..

Step-by-step explanation:

Silvergrove middle school spent $60 to purchase 4 work books. How many these workbooks can they buy for $90? Solve using unit rates.

Answers

They can buy 6 workbooks with $90. To find the unit rate we simply divide the cost ($60) by the number of books (4). That gives us $15, the cost of 1 workbook. So now to find out how many workbooks can be purchased with $90, we divide 90 by 15. That’s how I got 6 workbooks. Hope this helps.

Find the area of each figure. Round to the nearest tenth if necessary

Answers

Answer:

c. 143.8 m³

Step-by-step explanation:

The figure can be decomposed into a semicircle and a trapezoid

Area = area of semicircle + area of trapezoid

= ½(πr²) + ½(a + b)h

Where,

r = ½(9) = 4.5 m

a = 9 m

b = 23 m

h = 7 m

Area of the figure = ½(π*4.5²) + ½(9 + 23)7

Area of the figure = 31.81 + 112

= 143.8 m³

Is Urgent ......The satisfaction that consumers get from their purchases is known as what?
A. Materialism
B. Marginalism
C. Subjectivity
D. Utility

Answers


“Subjectivity” is the answer i believe .

Answer: D

Step-by-step explanation:

Fits the definition

Find 110.9% of 133. Round to the nearest hundredth.

Answers

Answer:

147.50

Step-by-step explanation:

It is easy to set up the equation as a “butterfly”

x/133 = 110.9/100

cross multiply:

133(110.9)=100x

14749.7=100x ————-divide by 100 to get x alone

147.497 which would round to 147.50

Answer:

147.50

Step-by-step explanation:

BIG BRAIN AND MENTAL MATH

5.
3. The Manhattan Island Cruise Company sold 57
tickets for its Circle-the-Island Cruise. Each adult had
to pay $22 for the cruise and each child had to pay
$10. The company's total receipts were $774. How
many children went on the cruise?

Answers

Answer:

40 children went on the cruise.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of adults on the cruise

y is the number of children on the cruise.

57 tickets were sold:

This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]

Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.

This means that:

[tex]22x + 10y = 774[/tex]

Since [tex]x = 57 - y[/tex]

[tex]22(57 - y) + 10y = 774[/tex]

[tex]1254 - 22y + 10y = 774[/tex]

[tex]12y = 480[/tex]

[tex]y = \frac{480}{12}[/tex]

[tex]y = 40[/tex]

40 children went on the cruise.

Anyone know the answer?

Answers

Answer:

12.4

Step-by-step explanation:

Find the exponential function that contains the points (0,5) and (2,20)

Answers

Do it open the link takes all your information have a good one

A circular patio has a radius of 4 yards. The patio is expanded so that the
radius increases by 2 yards. By how many square yards does the area of the
patio increase?

Answers

Answer:

20pi or 62.83

Step-by-step explanation:

when r=4

pi r^2

16pi

when r=6

pi r^2

36pi

36pi-16pi=20pi or 62.83

Using 3.14 for , what is the volume of the cylinder?
O A. 21.771 cubic meters
O B. 32.656 cubic meters
O C. 65.312 cubic meters
O D. 169.811 cubic meters

Answers

65.313 will be the answer

If y = 4x, x = 2z, and z = 3a, what is the value of y - x in terms of a?
A) -20a
B) -18a
C) 6a
D) 18a
E) 20a
With steps please

Answers

Answer:

D) 18a

Step-by-step explanation:

y - x

= 4x - x (plug y = 4x)

= 3x

= 3(2z) (plug x = 2z)

= 6z

= 6(3a) (plug z = 3a)

= 18a




Bobby filled a bucket with 5/6 gallon of water and 1/12 gallon of juice. What
is the total amount of liquid Bobby put in the bucket?
+
А. 1/3
B.5/6
C.3/4
D.11/12

Answers

Hi,

To add two fraction, they must have  the same denominator.

So  5/6  =  10/12

Now :   10/12 + 1/12 = 11/12

Answer:

D is the correct option

hope it helps you

please mark me as brainlist

What is the volume of this container?

Answers

Answer:6000 cm3

Step-by-step explanation:You do 20x10x15=3000. Then you do 3000x2= 6000. So your answer will be 6000cm3

A plane flies against the wind 288 miles from Los Angeles to San Jose and then returns home with the same wind. The wind speed is 60 mph. If the total flying time was 2 hours, what is the speed of the plane?

Answers

Answer:

The speed of the airplane is 300 miles per hour.

Step-by-step explanation:

Let consider that plane travels at constant speed, which is the sum of the velocity of the plane in still air (velocity of the plane relative to wind) and the velocity of the wind. Hence, the total time spent by the plane is described by following kinematic formula:

[tex]t = s\cdot \left(\frac{1}{v_{P}-v_{W}}+\frac{1}{v_{P}+v_{W}} \right)[/tex] (1)

Where:

[tex]t[/tex] - Total time, in hours.

[tex]s[/tex] - Distance between Los Angeles and San Jose, in miles.

[tex]v_{P}[/tex] - Velocity of the plane in still air, in miles per hour.

[tex]v_{W}[/tex] - Velocity of the wind, in miles per hour.

Then, we proceed to simplify the formula and clear the speed of the plane in still air:

[tex]\frac{t}{s} = \frac{2\cdot v_{P}}{v_{P}^{2}-v_{W}^{2}}[/tex]

[tex]\left(\frac{t}{s}\right)\cdot (v_{P}^{2}-v_{W}^{2}) = 2\cdot v_{P}[/tex]

[tex]\left(\frac{t}{s} \right)\cdot v_{P}^{2} - 2\cdot v_{P}- \left(\frac{t}{s} \right)\cdot v_{W}^{2} = 0[/tex]

Which is a Second Order Polynomial, whose roots can be found analytically by Quadratic Formula. If we know that [tex]t = 2\,h[/tex], [tex]s = 288\,mi[/tex] and [tex]v_{W} = 60\,\frac{mi}{h}[/tex], then we have the following polynomial:

[tex]\frac{1}{144}\cdot v_{P}^{2}-2\cdot v_{P} -25 = 0[/tex]

The two roots associated with this polynomial are, respectively:

[tex]v_{P,1} = 300\,\frac{mi}{h}[/tex], [tex]v_{P,2} = -12\,\frac{mi}{h}[/tex]

Since speed is the magnitude of velocity, then solution must be positive. First root satisfies all these conditions.

In a nutshell, the speed of the airplane is 300 miles per hour.

Remy has 4 monster trucks, 3 fire trucks, 1 ambulance, and 2 taxis he will randomly choose one from his toy box
What is the probability that remy will choose a taxi?


A 1/10 b 1/5 c 2/4 D 1/3

Answers

Answer:

Your answer should be A forgive me if i am wrong.

Step-by-step explanation:

It should be B because there are two taxis out of the 10 toys...

Here are summary statistics for randomly selected weights of newborn​ girls: n=250​, x_=32.9 ​hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a ​95% confidence level. Are these results very different from the confidence interval 31.9 hg < μ < 34.5 hg with only 19 sample​ values, x_ = 33.2​hg, and s = 2.9 ​hg?

Answers

Answer:

Step-by-step explanation:

Here are summary statistics for randomly selected weights of newborn​ girls: n=250​, x_=32.9 ​hg, s=6.9 hg. Construct a confidence interval estimate of the mean. Use a ​95% confidence level.

The confidence interval of mean

=32.9 ± 1.96 × 6.9/250

Confidence Interval = 32.9 ± 0.5382

find the length of x


help please i need it asap

Answers

Step-by-step explanation:

[tex] \frac{6}{4.5} = \frac{4}{x} \\x \times 6 = 4 \times 4.5 \\ x = \frac{4 \times 4.5}{6} \\ x = \frac{18}{6} \\ x = 3[/tex]

#CMIIW

What is probability that matt will select one of the letters in the word jump

Answers

Answer:

1 outta of 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 out of 4

there are four letters and the probability he will chose one is one out of the four letters.

help again . ill give you 15 points.

Answers

Most students are 67 and 68 inches tall

How do you know if a number is rational irrational or not real number

Answers

Answer:

A rational number can expressed as a whole number, integer, square root, fraction, and more as long as it's not imaginary. However, the number has to be clean like 1/2=0.5, 1/3=0.333, -1, 200. If it is a number that goes on forever and is not repeated like 1.22222, then it's an irrational number like pie-3.14159..., 5/0, 2.201845. If you have an imaginary number- 6i, then this would be considered as non real numbers like x+2, red, wind, and y/7.

Step-by-step explanation:

I hope this helped you!

An earlier study determined that 60% of women older than age 50 have annual mammograms. To see if this proportion is still valid, we send surveys to 1000 women older than age 50. Of the 100 who respond, 70 say they have annual mammograms. What is the (estimated) current proportion of women older than age 50 who say they get annual mammograms

Answers

Answer:

The % of women above 50 having mammograms as devised from the survey is 70%.

Step-by-step explanation:

Given

60% of women older than age 50 have annual mammograms

Out of 1000 surveyed women of  age greater than 50, 100 women responded and out of these 100, 70 confirmed that they have annual mammograms

The % of women above 50 having mammograms as devised from the survey is 70%.

A local city collects 8% sales tax. If the
total purchase was $216.00, then how
much was collected for sales tax?

Answers

Answer:

156.00

Step-by-step explanation:take away 8% sales tax away from it

Help pls help I need help

Answers

Answer:

bro no one can see that

Step-by-step explanation:

Answer:

8ounces

Step-by-step explanation:

pounds* 16= ounces

therefore 1/2pounds *16=8ounces

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