if 5^-x=3 what does 5^3x equal?

Answers

Answer 1

5 to the -x = 3 > which means that -x equals -.68260619
Plug in -.68260619 for x: 5 raised to 3x = .03703703
If that's how you intended to solve it then that's the correct answer.

Answer 2

The answer is 1/27

[tex]5^{-x} = 3 \\ \\ \frac{1}{ 5^{x} } =3 \\ \\ 1 = 3* 5^{x} \\ \\ 5^{x} = \frac{1}{3} \\ \\ (5^{x})^{3} = (\frac{1}{3})^{3} \\ \\ 5^{x*3}= \frac{1^{3}}{3^{3}} \\ \\ 5^{3x}= \frac{1}{27} [/tex]

Related Questions

what are the translation rules in geometry?

Answers

The original object and its translation have the same shape and size, and they face in the same direction. A translationcreates a figure that is congruent with the original figure and preserves distance (length) and orientation (lettering order). A translation is a direct isometry.

Final answer:

The translation rules in geometry involve moving every point in a figure the same distance and direction. For a horizontal translation, add or subtract the same value from the x-coordinate of each point. For a vertical translation, add or subtract the same value from the y-coordinate of each point.

Explanation:

In geometry, translation is a transformation that moves every point in a figure the same distance and direction. The translation rules involve determining the new coordinates of the translated figure.

The translation rules in geometry can be summarized as:

For a horizontal translation, add or subtract the same value from the x-coordinate of each point.For a vertical translation, add or subtract the same value from the y-coordinate of each point.

For example, if you have a point with coordinates (2, 3) and you want to translate it 3 units to the right and 2 units up, you would add 3 to the x-coordinate and 2 to the y-coordinate to get the new coordinates of the translated point: (5, 5).

what is an estimation of 492.6 divided by 48

Answers

492.6/48 ~ To simply view this:

480/48 = 10
12.6/48 = 0.25 (roughly).
10.25 would roughly be your answer.

Though...
The actual answer is that:
12.6/48 = 0.2625
So... the answer: 10.2625 would be the answer.
Depending on where you have to estimate to:
10.2625
10.263
10.26
10.3

I hope that helps, have a great of your day! ^ ^
{-Ghostgate-}

Answer:

10.

Step-by-step explanation:

We are asked to find the estimation of 492.6 divided by 48.

First of all, we will round 492.6 to nearest hundreds and 48 to nearest tens.

Since tens digit of 492.6 is greater than 5, so we will round up to nearest hundred as: [tex]492.6\approx 500[/tex]

Since ones digit of 48 is greater than 5, so we will round up to nearest tens as: [tex]48\approx 50[/tex].

Now, we will find the quotient as:

[tex]\frac{500}{50}=10[/tex]

Therefore, an estimation of 492.6 divided by 48 would be 10.

Line AB is tangent to circle C, AB= 4 inches, and AD = 2 inches. Find the radius of the circle.

Answers

Let the radius of the circle be x, then by the tangent-secant theorem
4^2 = 2(x + 2)
16 = 2x + 4
2x = 16 - 4 = 12
x = 12/2 = 6

Therefore, the radius of the circle is 6 inches.

What is the square root of 59,005?

Answers

242.9 . I worked it out on a piece of paper so it might be right .

Simplify: log base 3 (1/3) ...?

Answers

The answer is 1.

[tex]log_3( \frac{1}{3} )[/tex]
_____
Since [tex]log_y(x) = \frac{log_{10}(x)}{log_{10}(y)} [/tex], then: [tex]log_3( \frac{1}{3} )= \frac{log_{10} ( \frac{1}{3}) }{log_{10}(3)} [/tex]
_____
Since [tex] \frac{1}{x} = x^{-1} [/tex], then: [tex]\frac{log_{10} ( \frac{1}{3}) }{log_{10}(3)} = \frac{log_{10}(3^{-1} )}{log_{10}(3)} [/tex]
_____
Since [tex]log x^{a} =a*logx[/tex], then: [tex]\frac{log_{10}(3^{-1} )}{log_{10}(3)}= \frac{-1*log_{10}(3)}{log_{10}(3)} [/tex]

From here: [tex]\frac{-1*log_{10}(3)}{log_{10}(3)}=-1*\frac{log_{10}(3)}{log_{10}(3)}=-1*1 = -1[/tex]

If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV, which statement about the graph of f(x) must be true?
It includes points in Quadrant I.
It includes points in Quadrant II.
It does not include points in Quadrant I.
It does not include points in Quadrant II.

Answers

Answer:

It includes points in Quadrant II.

It does not include points in Quadrant I.

Step-by-step explanation:

Given : If f(x) is an odd function and the graph of f(x) includes points in Quadrant IV.

To find : which statement about the graph of f(x) must be true.

Solution : We have given that f(x) is an odd function is lies in Quadrant IV.

Definition of an odd function: the y-value of the function at negative x is always opposite sign as the y-value of function at opposite x.

Like (x ,-y) or (x , -y)

In odd function x and y values are in opposite sign that mean odd function always lies in Quadrant II and Quadrant IV.

It does not include points in Quadrant I

Therefore, It includes points in Quadrant II.

It does not include points in Quadrant I.

Answer:

includes quad 2

Step-by-step explanation:

Which of the following is the statement of the triangle inequality theorem?
A. The sum of the measures of any two angles of a triangle is greater than the measure of the third angle.
B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
C. The longest side of a triangle is opposite the largest angle.
D. The largest angle of a triangle is between the two longest sides.

Answers

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

we know that

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

a,b,c------> the length sides of a triangle

The theorem states that three conditions must be met

case 1)

[tex] a+b > c [/tex]

case 2)

[tex] a+c > b [/tex]

case3)

[tex] c+b > a [/tex]

therefore

the answer is the option

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Express 31% as a fraction in its lowest form

Answers

31 ------ 100 that's is what I got in the lowest form x

Final answer:

To express 31% as a fraction in its lowest form, divide 31 by 100 and simplify the resulting fraction.

Explanation:

To express 31% as a fraction in its lowest form, we need to convert the percent to a decimal first. We do this by writing 31% as a fraction with a denominator of 100 and dividing the numerator by the denominator: 31/100. To reduce the fraction to its lowest form, we find the greatest common divisor (GCD) of the numerator and denominator, which is 1. Dividing both the numerator and denominator by 1, we get the fraction 31/100 in its lowest form.

Learn more about Converting Percent to Fraction#SPJ11

The Tools Plus Company is planning to produce drills. The company has rented space for its manufacturing operation at $5,000 per month. Each drill requires $61 worth of materials and $36 worth of labor.

Find the total cost if Tools Plus Company makes 460 drills. ...?

Answers

(61+36)460+5000M= 49620
(M equals operation cost per month)

Answer:

Step-by-step explanation:

69d+5,000

13 tenths plus 8 tenths plus 32 hundredths <,> =,to 2.42

Answers

13/10 as a decimal is 1.3. 8/10 as a decimal is 0.8, and 32/100 as a decimal is 0.32. If you add up 1.3, 0.8, and 0.32, you get 2.42, which, obviously, is equal to 2.42. Hope this helps!

The potential energy of an object is jointly related with the mass of the object and the height of the object. A 40-kg object is 2 meters off the ground. The potential energy of the object is 784 joules. A 10-kg object is 3 meters off the ground. What is the potential energy of the 10-kg object?

Answers

the answer is c. 294 joules

Answer:

The potential energy of the 10-kg object is 294 joules .

Step-by-step explanation:

As given

The potential energy of an object is jointly related with the mass of the object and the height of the object.

Let the potential energy of an object is denoted by P.E .

Mass of the object = m

Height of the object = h

Than

[tex]P.E \propto mh[/tex]

P.E = mgh

Where g is the accleration due to gravity .

As given

A 40-kg object is 2 meters off the ground. The potential energy of the object is 784 joules.

Put the value in the P.E = mgh

784 = g × 2 × 40

784 = 80g

[tex]g = \frac{784}{80}[/tex]

g = 9.8 joules per kg meter .

As given

A 10-kg object is 3 meters off the ground.

Put the value in P.E = mgh

P.E = 10 × 9.8 × 3

P.E = 294 joules

Therefore the potential energy of the 10-kg object is 294 joules .

what is the 10th term of this geometric sequence?
1,2,4 ,8...
A)128
B)256
C)512
D)1024

Answers

8 × 2 = 16 = 5th term
16 × 2 = 32 = 6th term
32 × 2 = 64 = 7th term
64 × 2 = 128 = 8th term
128 × 2 = 256 = 9th term
256 × 2 = 512 = 10th term
The answer is 512
Hope this helps!

If 32% of a number is 64, what is the number?

Answers

I hope this helps you

What is the solution to the system of equations?

y = 1.5x – 4

y = –x

a. (–1.6, 1.6)
b. (–1.5, 1.5)
c. (1.5, –1.5)
d. (1.6, –1.6)

Answers

I hope this helps you

y= 1.5x - 4

-x= 1.5x - 4

1.5x+x=4

2.5x=4

x=1.6

y= -1.6

Taxi ride cost $1 plus 80c more for each quarter mile travel. What was the total cost for 2-mile trip

Answers

The answer is $14.4
1.80×4

A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales. What is the salesman's commission as a percent of his total monthly sales? Enter your answer in the box. %

Answers

Answer:

Salesman's commission 4% of total monthly sales.

Step-by-step explanation:

A sneaker store salesman had $4,125 in total monthly sales last month.

He made $165 in commission from those sales.

Suppose, it is x% of the total sale.

So, x% of $4125 will be,

[tex]=4125\times \dfrac{x}{100}[/tex]

According to the question it is equal to $165, so

[tex]\Rightarrow 4125\times \dfrac{x}{100}=165[/tex]

[tex]\Rightarrow x=\dfrac{165\times 100}{4125}[/tex]

[tex]\Rightarrow x=\dfrac{16500}{4125}[/tex]

[tex]\Rightarrow x=4\%[/tex]

Therefore, salesman's commission 4% of total monthly sales.

Answer: 4%

Step-by-step explanation:

Due to the fact that the salesman had $4,125 in total monthly sales the previous month, the answer would be 4%

A conical tank has height 3 m and radius 2 m at the top. Water flows in at a rate of 0.7m^3/min. How fast is the water level rising when it is 0.8 m?

Answers

this can help you
look at the image

r / 2 = h / 3 r = 2/3h V = 1/3(pi)r^2h . Put r = 2/3h V = 1/3(pi)(4/9)h^3 = 4(pi)/27h^3 dV/dt = 4(pi)/27(3h^2)dh/dt = 4/9(pi)(h^2)dh/dt Plug in the numbers and solve for dh/dt at h = 0.8

dV/dt = 4/9(pi)(h^2)dh/dt = 1.396h^2dh/dt dV/dt = 0.7, h = 0.8 0.7 = 1.39(.8^2)dh/dt dh/dt = 0.78 meters / min

The hand on a clock shows 6:00pm what is the measure of the angle

Answers

180 degrees, the angle would be 180 degrees

For a clock to be showing 6:00, the minute hand must be straight up and the hour hand straight down. This creates a straight line, which has an angle of 180° or π radians.

Explain what the m and b variables represent in the y=mx b equation

Answers

m is the slope which is also the rate of change and x is the independent variable

Solve for x and show work. 2xln(1/x)-x=0

Answers

Add x to the 0 and it would be 2xIn(1/x)=x
Then divide 2x and it will be
In(1/x)=1/2
Then
e^1/2=1/x
1.65=1/x
x=1/1.65

A bag cost 10.50 but you get 20 percent off how much is the bag now?

Answers

Total cost of the bag will be product of bag cost and percentage off

Which is
$10.50×.2=$8.40

Read the numbers and decide what the next number should be 8,4,2,6,3,2,4.

Answers

Final answer:

The given sequence involves a two-part pattern. One part is halving the previous number and the other part alternates between 4 and 6. Considering the pattern, the next number should be 0.5.

Explanation:

The sequence 8,4,2,6,3,2,4 appears to have a pattern. It seems to be a two-part pattern that alternates. The first part, observed in the numbers 8, 2, and 2, is halving (8 divided by 2 is 4, and 2 divided by 2 is 1, and 1 by 2 is 0.5). Then, the second part, observed in 4,6,4, seems to alternate between 4 and 6. So, if the pattern continues, the next number after 4 should be 0.5 from the first part of the pattern.

Learn more about Number Sequence here:

https://brainly.com/question/35990937

#SPJ11

Final answer:

The sequence could actually be representing two series - one series is halving the number (8 to 4 to 2) and the other is multiplying each number by 2 (3 to 2 to 4 to 8). Thus, the next number could either be 1 (if we continue the halving series) or 12 (if we continue the multiplying by 2 series).

Explanation:

The number sequence provided seems to be made of two different series interwoven. One series is halving each number (8 to 4 to 2), and the other series is multiplying each number by 2 (2 to 4 to 6 to 12).

Therefore, the next number after 8, 4, 2, 6, 3, 2, 4 should be 1 (half of 2) whereas the next number in the second series after 6, 3, 2, 4 should be 12 (four times 3). So, depending on which pattern the sequence is following, the next number could be either 1 or 12.

Learn more about Number Sequence here:

https://brainly.com/question/32776026

#SPJ5

Ruby bought 15 cell phone cases for a total of $145.80. she sells them for $19.50 each, but she is only able to sell 5 of them. what is ruby's net profit or loss?

Answers

Given that Ruby bought 15 cell phone cases for a total of $145.80. This means that each cell phone case costs $9.72 each. She sells each for $19.50, but only 5 out of the 15. So the total earnings she has is $97.50. Therefore, we can say that Ruby did not earn a profit but is experiencing a loss of $48.30. Hope this answers your question.

Boris bought 22 pounds of rice for $10. How many pounds of rice did he get per dollar?

Answers

Here, for $10, rice = 22
So, for $1, it would be: 22/10 = $2.2

So, your final answer is $2.2

Hope this helps!

What is the ratio of julios 22 to jonah 8 points?

Answers

22:8
the answer is 11:4

Which undefined term is used to define a ray?

Answers

pretend this is a way <--------------------O what do u see Point and line right thats ur answer hope this helps :D

Answer:

Line

Step-by-step explanation:

Linda Frankell pays $50.00 a month for group health insurance. There is a $300 deductible. Her medical bills for the last year were $2,600.00. Linda's insurance company provided payment of 80% of the bills less the deductible.

What was the insurance company's payment? $

What was Linda's total cost (including the monthly premium)? $

Answers

Linda Frankell Pays $50.00 a month towards group health insurance, so for a year, that is for 12 months, her premiums would be

Linda's premiums for 12 months = $50 × 12 = $600

Deductible is the amount Linda Frankell will have to pay each year as a policy holder towards her medical expenses before the insurance company pays its share.

Amount Linda pays towards deductible = $300

Linda's medical bills = $2,600.00
The insurance company will pay 80% of the bills less the deductible, which means, the insurance company will pay 80% of the ($2,600.00 - $300 deductible = $2,300.00)

∴ Amount the insurance company pays = 80% of $2,300.00 = $1,840.00

Amount Linda has to pay towards the $2,300.00 = $2,300.00 - $1,840.00 = $460.00

Linda's total cost = Linda's 12 months premiums + $300 deductible + $460 = $600 + $300 + $460 = $1,360.00

Insurance company's payment = $1840.00
Linda's total cost = $1,360.00

what is 2/3x5/6x14 can you help me on this problem

Answers

you must multiply first the first two terms and then, once you have that result, you mutliply what you've got times the other number (14). Then you'll get the final result :)

Answer: 7 wholes and 63/81

Let's start with 2/3 x 5/6. 2 x 5= 10, 3 x 6= 18. New fraction is 10/18 which is simplified to 5/9. Now do 5/9 x 14/1. 14 x 5= 70. It would then be 70/9 as an improper fraction. Now make a mixed fraction which is 7 7/9

A store is having a 10% off sale. It gives an additional 20% off for an item that is above $100 after the first 10% discount.A jacket costs $124.99
if you buy the jacket, how much will you save in total?
*SHOW WORK* ...?

Answers

Final answer:

To calculate the total amount saved when buying a jacket at a store with a 10% discount and an additional 20% discount, follow these steps: find the savings from the first discount, calculate the price after the first discount, check if the price is above $100, calculate the additional discount, and add both savings together. In this case, the total amount saved is $34.9972.

Explanation:

To calculate the total amount saved, we need to use the following steps:

Find the total savings from the first 10% discount: $124.99 * 0.10 = $12.499Find the price of the jacket after the first discount: $124.99 - $12.499 = $112.491Check if the price is above $100. If it is, calculate the additional 20% discount: $112.491 * 0.20 = $22.4982Add the savings from the additional discount to the previous savings: $12.499 + $22.4982 = $34.9972

So, the total amount saved is $34.9972.

Final answer:

To find the total amount saved, apply the discounts and add the amounts together. The total amount saved is $35.00.

Explanation:

To find the total amount saved, you need to calculate the discount for each discount percentage. First, apply the 10% discount to the original price of the jacket:
10% of $124.99 = $12.499.
Next, apply the 20% discount to the price after the first discount:
20% of ($124.99 - $12.499) = 20% of $112.491 = $22.4982.

Finally, add the two discounts together to find the total amount saved:
$12.499 + $22.4982 = $34.9972.

Rounding to the nearest cent, the total amount saved is $35.00.

A punch recipe calls for cups of orange juice, cup of pineapple juice, and cups of mango juice. How many total cups of fruit juice does the recipe make?

Answers

You need to provide the number of cups for each type of juice. Unless they didn't provide it? Is the question above the exact question?

Answer:I can't answer it without measurements. Sorry

Step-by-step explanation:

Other Questions

Describe the relationship between cell biology and molecular biology If the purchase price for a house is $309,900, what is the monthly payment if you put 20% down for a 30 year loan with a fixed rate of 6%? a. $729.98 b. $912.48 c. $1,486.41 d. $1,858.01 A. Not to sure, I'm not a math expert. I could be wrong. If 72 is increased by 130 percent what is the result Is this equation a linear function? If so give the intersepts 12x+3y=6 After five years of earning interest at an annual rate of 4%, an investment has earned $1,200 in interest. Determine the amount of the initial investment. Show all work for full credit. Find two positive real numbers whose product is a maximum.The sum of the first and three times the second is 30 Which of the following statements describes one way in which the use of airpower during World War II changed warfare? A. Airpower meant less destruction and fewer deaths. B. Airpower made killing a mechanical act rather than a personal act. C. Airpower was not effective without unbreakable codes. D. Airpower did not change the way wars are fought. Which of the following did the Wilmot Proviso provide for?It extended the 3630' line to the Pacific Ocean.It allowed states north of the line to be slave.It prevented slave states in land gained from Mexico.It forced Texas to give up some of its land to pay debts. Order -2.96 2 1/9 -2 11/12 and 2.95 from least to greatest P.S 2.95 is repeating Upon finding all the values, such as amp, the period and any shifts, how would I know how to graph the actual graph, and more importantly, to scale the horizontal axis? Which of these statements expresses one of the reasons the Inca tracked the movements of the planets and the stars? A.The knowledge was central to their religion. B.The knowledge helped them perform surgeries. C.The knowledge helped them achieve military conquests. D.The knowledge aided them in architectural engineering. In two paragraphs compare and contrast free verse poems and sonnets WILL UPVOTE!Question 12 (Multiple Choice)Your family would like to develop healthier eating habits. Which of the following strategies would be the best approach to reaching that goal?A) Replace all the food in the kitchen with healthy options right awayB) Plan meals for the week while shopping at the grocery storeC) Decide each weekend what to make for dinner throughout the weekD) Avoid trying new recipes because they take longer to prepare The T-test is principally a test of How long is the arc subtended by an angle of 7/5 radians on a circle of radius 25 cm? The Federal Theatre Project is a traveling exhibition, it may be coming to your city.How is the comma used incorrectly in the sentence above? IF RIGHT I WILL GIVE YOU 99 PONITS compare and contrast the cats in "The Golden Cat" and "The Cat in the Moon." Which rights do citizens of the United states have that the Burmese people don't? Which best describes the formula for the perimeter of a square? A.Its four times the sides. B.The formula for the perimeter of a square is 4s. C.Square the sides of the square. D.4s is the perimeter of a quadrilateral. A 56-foot rope is cut into 2 pieces whose lengths are in the ratio 3:. What is the length of the longer piece in feet?