solve this equation, and show work. worth 40 points.

Solve This Equation, And Show Work. Worth 40 Points.

Answers

Answer 1

Answer:

[tex]r=-3/5=-0.6[/tex]

Step-by-step explanation:

We have the equation:

[tex]6^{-3r}=6^{2r+3}[/tex]

Since their bases are the same, the exponents must be equivalent. So:

[tex]-3r=2r+3[/tex]

Solve for r, subtract 2r from both sides:

[tex]-5r=3[/tex]

Divide both sides by -5:

[tex]r=-3/5=-0.6[/tex]

So, the value of r is -3/5.

And we're done!


Related Questions

Kendra is participating in a fundraiser walk-a-thon she walks 4 miles in 60 minutes how many minutes will it take to walk 7 miles

Answers

Answer:

105 min

Step-by-step explanation:

60 minutes ÷ 4 miles= 15 minutes per mile

15min per mile x 7 miles = 105 minutes

Casey did a science experiment to find out which brand of popcorn popped the most kernels. The first brand had 123 kernels pop. The second brand had 108 kernels pop. To the nearest ten, about how many kernels popped in all?

Answers

Answer:

230

Step-by-step explanation:

The answer is 230 because if you add 123 and 108 together you get 231 but since we are rounding to the nearest 10 it would be 230 because 231 is closer to 230 than it is to 240.

7g:1kg to its simplest form​

Answers

Answer:

7kg:1kg=7:1 itself

Because 7 and 1 has one '1' as a common factor, so they can't be simplified

cara is making a beaded necklace for a gift. she wants to spend more than $25 because she doesn´t want to seem like a cheap friend but no more than $60 because she isn´t that good of a friend either.the bead store charges $3 for large beads and $2 for small beads.if she buys 5 large beads, how many small beads can she buy to stay within her budget.

Answers

Answer:

5 small beads!

Step-by-step explanation:

Hey there!

If large beads are $3 each, and she buys 5 of them, our equation is $3 x 5 which equals $15. So Cara will spend $15 buying large beads.

Cara has $10 left now, because $25 - $15 = $10. Since each small bead is $2, we divide $10 (the total amount of money she has) by $2 (the cost of each bead). This will tell us how many she can buy! So $10 ÷ $2 is 5. Cara can buy 5 small beads!

I hope this helped you! Rating my answer and giving it a Thanks would sure help me out!

Have a wonderful day!

Is thirty six and nine thousandths greater or less than 4 tens

Answers

Greater

36+9,000 > 40

What is the perimeter of the shape below, given a = 8.16, b = 234, C = 461,0 =
2.56, e = 8.00, f = 2.51, g = 9.81

Answers

Answer: It’s unfinded

Step-by-step explanation:

The product of -9 and a number, increased by 15 is -7. Find the number.

Answers

Answer: the answer is -23 i think

Step-by-step explanation:

Classwork
1. A plane flew at a constant speed between Denver and Chicago. It took the
plane 1.5 hours to fly 915 miles. Complete the table.
Time in Hours (x)
Distance in Miles (y)
Constant (3)
1
1.5
915
2
2.5
Hint - Find the constant of proportionality first (y/x=k).

Answers

Answer:

Time in hours (x) ==> distance in miles (y)

1 ==> 610

2 ==> 1,220

2.5 ==> 1,525

Note: constant of proportionality is same all through = 610

Step-by-step explanation:

Constant of proportionality = [tex] \frac{y}{x} = \frac{915}{1.5} = 610 [/tex]

To get the y-values (miles) for each given x-value (hours), multiply each x-value by the constant of proportionality, 610. Constant of proportionality is same all through.

Thus,

Time in hours (x) ==> distance in miles (y)

1 ==> 1*610 = 610

2 ==> 2*610 = 1,220

2.5 ==> 2.5*610 = 1,525

I need help with this can anyone give me the answer

Answers

Translation (-1, -3), option B

g(n)=n+1 f(n)-n^2-n find g(f(8))

Answers

Step-by-step explanation:

[tex]g(f(8)) =( n ^{2} - n )+ 1 = 8 ^{2} - 8 + 1 = 64 + 9 = 73[/tex]

What is the equation of the line graphed below?

Answers

show the lined graph

The race course is 3/4 of a mile long. How many feet long is the race course?

Answers

Answer:

3960 feet

Step-by-step explanation:

Answer:

3,960 feet long

Step-by-step explanation:

1 mile = 5,280 feet

5,280 feet ÷ 4 (because the denominator is 4) = 1,320 feet

1,320 x 3 (the numerator is 3) = 3,960 feet

3/4 of a mile = 3,960 feet

48% = 48 Over 100 = A Over 25. What is A?

Answers

The answer is 192 over 25, the bottom is 4 times smaller than 100 so you have to multiply the top number by 4

9514 1404 393

Answer:

  A = 12

Step-by-step explanation:

  [tex]48\%=\dfrac{48}{100}=\dfrac{4\cdot12}{4\cdot25}=\boxed{\dfrac{12}{25}}[/tex]

Comparing this to A/25, we see that A = 12.

Solve the equation
3m=2(4+t) for t

Answers

3m=2(4+t)
3m= 8+2t
3m-8=2t
(divide everything by 2)
3/2m-4=t

t=3/2m-4

WILL GIVE BRAINLIST SO PLZ HELP

At midnight, the temperature was . At noon, the temperature was . Which expression represents the increase in temperature?

A. - 8 - 23
B. | - 8 | - 23
C. - 8 - | 23 |
D. | - 8 - 23 |

Answers

Hello!

D Would be your answer! Because At Midnight, the temperature was -8*f. At noon, 23*F, so

|-8-23| |-3||= 31  There you go! May I have Brainliest?

Subtract.
3.5 – (-6.5)


how can i show my work ?

Answers

The answer above is correct my dude

Use the geometric probability distribution to solve the following problem. On the leeward side of the island of Oahu, in a small village, about 74% of the residents are of Hawaiian ancestry. Let n = 1, 2, 3, … represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village. (a) Write out a formula for the probability distribution of the random variable n. (Enter a mathematical expression.) P(n) = p(1 - p)n-1 (b) Compute the probabilities that n = 1, n = 2, and n = 3. (For each answer, enter a number. Round your answers to three decimal places.) P(1) = 0.740 P(2) = 0.192 P(3) = 0.050 (c) Compute the probability that n ≥ 4. Hint: P(n ≥ 4) = 1 − P(n = 1) − P(n = 2) − P(n = 3). (Enter a number. Round your answer to three decimal places.) 0.018 (d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry? Hint: Use μ for the geometric distribution and round. (Enter a number. Round your answer to the nearest whole number.) residents

Answers

Answer:

(a) [tex]\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1} ; \text{ n} = 1, 2, 3,....[/tex]

(b) P(1) = 0.740, P(2) = 0.192, and P(3) = 0.050.

(c) The probability that n ≥ 4 is 0.018.

(d) The expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry is 3.

Step-by-step explanation:

We are given that on the leeward side of the island of Oahu, in a small village, about 74% of the residents are of Hawaiian ancestry.

Let n = 1, 2, 3, … represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.

(a) We can observe that the above situation can be represented through the geometric distribution because the geometric distribution states that we will keep on going with the trials until we achieve our first success,

Here also, n represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.

So, the probability distribution of the geometric distribution is given by;

[tex]\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1} ; \text{ n} = 1, 2, 3,....[/tex]

where, p = probability that the residents are of Hawaiian ancestry = 74%

(b) The probabilities that n = 1, n = 2, and n = 3 is given by;

[tex]\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1}[/tex]

P(1) = [tex]\text{0.74} \times \text{(1 - 0.74)}^{1-1}[/tex] = 0.74

P(2) = [tex]\text{0.74} \times \text{(1 - 0.74)}^{2-1}[/tex] = 0.192

P(3) = [tex]\text{0.74} \times \text{(1 - 0.74)}^{3-1}[/tex] = 0.050

(c) The probability that n ≥ 4 is given by = P(n ≥ 4)

     P(n ≥ 4) = 1 - P(n = 1) - P(n = 2) - P(n = 3)

                   = 1 - 0.74 - 0.192 - 0.050

                   = 0.018

(d) The expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry is given by = E(n)

We know that the mean of the geometric distribution is given by;

           Mean = [tex]\dfrac{p}{1-p}[/tex] = [tex]\dfrac{0.74}{1-0.74}[/tex]

                     = [tex]\dfrac{0.74}{0.26}[/tex] = 2.85 or 3 (approx).

Container R holds a solution that is 20% alcohol and Container S holds a solution that is 60% alcohol. How many liters of solution from each container should be used to create 2 liters of solution that is 50% alcohol?
*make two equations*

Answers

Answer:

The number of liters for container R = x = 0.5 liters

The number of liters for container S = y = 1.5 liters.

Step-by-step explanation:

Let the number of liters of container R = x

Let the number of liters of container S = y

We are told in the question : that

Container R holds a solution that is 20% alcohol

= 20% × x = 0.20x

Container S holds a solution that is 60% alcohol.

= 60% × y = 0.60y

How many liters of solution from each container should be used to create 2 liters of solution that is 50% alcohol?

Hence;

x + y = 2 ....... Equation 1

x = 2 - y

0.20x + 0.60y = 2 × 50%

0.20x + 0.60y = 1........ Equation 2

Substitute

2-y for x in Equation 3

0.20(2 - y) + 0.60y = 1

0.40 - 0.20y + 0.60y = 1

Collect like terms

0.40y = 1 - 0.40

0.40y = 0.60

y = 0.60/0.40

y = 1.5 liters

Note that :

x = 2 - y

x = 2 - 1.5

x = 0.5 liters

Therefore,

the number of liters for container R = x = 0.5 liters

the number of liters for container S = y = 1.5 liters.

geometry, please help

Answers

Answer:

I believe that number 7 is true.

Step-by-step explanation:

8. Is not a vertical angle because 3 and 3 do not look the same. The line is clearly gone on one side.

9. Is also wrong because both angles do not make a 90 degree angle.

10. Is wrong because both angles make a 90 degree angle when it should make a be 180 degrees.

( I'm learning this subject right now so it might be wrong. Tell me if I go this right.)

PLEASE HELP WILL MARK BRAINLEIST!

Answers

Answer:

-3.25

Step-by-step explanation:

What’s the range? 10 points ! !

Answers

Answer:

[-7,2]

Step-by-step explanation:

the range is all the possible y-values, and the highest point of the graph is at (-3,2) while the lowest is at (0,-7). when looking at the y-coordinates, we realize that the range is [-7,2] (brackets because those points are included).

Which expression has the same value as9
- (-3)?
A 9 + 3
C9+(-3)
B-9+(-3)
D 9-(-3)

Answers

B because it rounds

PLEASE HELP IM BEGGING YOU!!
FIND THE VALUE OF X

Answers

x = 18.8 bc that’s the only thing that makes sense and us lazy people don’t need to work things out

Answer:

12

Step-by-step explanation:

if 8+15 is about the length of the circle, the length is about 23

so 23 - 10 = 13 and the closest number to 13 is 12 so 12 is the answer

What is the answer to x-41.5=13.5

Answers

Answer: 55

Step-by-step explanation:

just add 41.5 on 13.5 and that is x

Answer: X=55

Step-by-step explanation:

First, you want to move the constant, -41.5, to the right-hand side and change the sign. You now have an equation of x=13.5+41.5.

You are now going to add 13.5 and 41.5, getting 55, which is your answer. Hope this helps!

On Friday, the temperature changes -30 each hour. If the temperature changed for 7 hours, what is the total temperature change?
Please hurry and answer!

Answers

A -120 difference will be seen in the temperature within a 7 hour period

Equation

-30 x 7

Multiplying two of different signs ( - + ,  + - ) will always be negative.

Multiplying two of the same sign ( - - , + + ) will always be positive.

Someone please help. If you don’t want to answer all that’s fine

Answers

Answer:

1. ) Plane ABC

2.) Segment AD

3.) Segment DE

4.) Segment AC

I'm sorry I don't know how to complete the 2nd half, but I hope these help. :)

Can someone please help me!!

Find the common ratio of the geometric sequence –4, 32, —256, ...

Answers

Answer: -8

Step-by-step explanation:

R= a2/a1

32/-4 divide by 4 to simplify so its -8

-4*-8= 32

32*-8 = -256

1/6 times 3/5 in simplist form

Answers

Answer:

0.1

Step-by-step explanation:

how can I solve this equation

49x^2 - 14x + 1 <= 0​

Answers

x= 1/7 or x= 7^-1

(adding for limit)

Step-by-step explanation:

(7x)^2 - 2×7x×1 +1^2 =0

(7x-1)^2 =0

7x-1=0

7x=1

x= 1\7

Question
The endpoints of a side of rectangle ABCD in the coordinate plane are at A(1,4) and
B(4,1). Find the equation of the line that contains the given segment.
The line segment is AB.
The equation Is y -

Answers

slope= (y2-y1)/(x2-x1)
slope=(1-4)/(4-1)
slope=(-3)/(3)
slope=-1
Slope is also named m

Now you use the point slope form to find the whole equation.

y-y1=slope(x-x1)
y-1=-1(x-4)
y-1=-1x+4
y=-1x+5

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Susans high school offers classes in which she can take a test and gain college credit. A movie ticket costs $9.A concert ticket costs $45. Which equation can be used to find how many times as much the concert ticket costs than a movie ticket? (100 POINTS) Write the particular equation of this transformed cosine graph. (Hint: Try to find the best point to center the sinusoidal axis.) What is the distance from - 12 to -5 on a number line Suppose you deposit $275.00 in your savings account on December 31. Your bank pays 3 percent annual interest on savings accounts. If you do not deposit any more money into the account, what would be the balance on December 31 of the following year? PLEASE I NEED HELP I NEED THIS LIKE RN BSKWNXJAJSImage below 30) Choose all the factors that led to the weakening of the Roman army.A)civil warB)new weaponstrained soldiersD) system of taxationE) experienced soldiers plz, help me with this QUICKLY PLZ :( Which of the following was a major simplishment of Antonio Margit de seslet?A) He worked with French explorers to understand the AmericansB) He founded the most successful spanish mission in TexasC) He built a permanent settlement by the Rio ContaD) He necompanied the fire families of stres to TexasCLASSE 10. An atom that has 13 protons and 13 electrons is a neutral aluminum (Al) atom. An atom that has 13 protons and 10 electrons is a- f F= {mango, apple, banana, orange) Discussion Question 1-9 (LO. 4) The Adams Independent School District wants to sell a parcel of unimproved land that it does not need. Its three best offers are as follows: Organization/Company Offer Proposed Use The State's Department of Public Safety (DPS) $2.3 million New state highway patrol barracks The Second Baptist Church $2.2 million Start a church school Baker Motors $2.1 million Open a car dealership If you are the financial adviser for the school district, which offer would be probably be preferable from a long-term financial standpoint? would probably be preferable since it would be subject to ad valorem taxes. The changes of the Industrial Age, including those leading to the Agricultural Revolution, still affect people's lives. Choose a modern song or a television show that idealizes rural life or compares rural life to urban life. How does this song or television show describe city life and the countryside? Cite evidence from the performance to support your answer. Font Sizes What is an equation of the line that passes through the point (5, 4) and is parallel tothe line 6x 5y = 15? On whose traditions did the Romans base their poetry threatning military action withoutactually going to war y = 7x^3 - 4x^2 + 3x - 12 find the domain step plz 2x^2+6x+3=0Solve for quadratic formula The Earth's population has increased by more than ________ people in the last 100 years A truck makes a trip of 14 hours, what was the speed if it traveled 2438 km?