What is the solution of log (2 t 4) = log (14 minus 3 t)?.

Answers

Answer 1

The solution the equation [tex]\rm log(2t+4)=log(14-3t)[/tex] is t = 2.

What is logarithmic properties?

Considering that the logarithm function is injective then the log is removing from the both sides and solving the equation for the value of t.

Given

The equation is;

[tex]\rm log(2t+4)=log(14-3t)[/tex]

The solution of the equation is;

[tex]\rm log(2t+4)=log(14-3t)\\\\2t+4=14-3t\\\\2t+3t=14-4\\\\5t=10\\\\t=\dfrac{10}{5}\\\\t=2[/tex]

Hence, the solution the equation [tex]\rm log(2t+4)=log(14-3t)[/tex] [tex]\rm log(2t+4)=log(14-3t)[/tex] is t = 2.

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Related Questions

Solve for m please quickly

Answers

(1,2)(2,5)

Slope:-

[tex]\\ \rm\rightarrowtail m=\dfrac{5-2}{2-1}[/tex]

[tex]\\ \rm\rightarrowtail m=\dfrac{3}{1}[/tex]

[tex]\\ \rm\rightarrowtail m=3[/tex]

Write As an equation

Answers

Answer:

x + 8 = 20

Step-by-step explanation:

Using the keywords;

'more than' (addition)

'a number' which we can consider a variable

and 'equals'

Answer: 8 + x =20

Step-by-step explanation: eight more than a number means 8 more than meaning plus, a number. So this is saying that 8 more than what ever that number is, will equal 20. We say x in the equation because x can be see as “the number”.

x = “the number” = 12

This is because 8 more than 12 is 20...

So 8 more than a number = 8 + x = 20

PLEASE HELP THIS IS MY 3RD TIME ASKING THIS I WILL GIVE BRAINLIEST PLEASE I REALLY NEED HELP
Which statements describe how the British controlled their colonies? Choose four correct answers.

A:After the Boer War, the Boers ruled themselves in South Africa.
B:Wars affected the ways Britain ruled its colonies.
C:Britain granted equal rights to all Africans.
D:Britain allowed Africans to benefit from their natural resources.
E:An independent South Africa was formed.
F:Britain did not protect the rights of black Africans.

Answers

Answer: A B E F

Step-by-step explanation:

i’m pretty sure it’s right

The answer to you’re question is A B E F

After 24 years, Rama will be 5 times as old as he is now . Find his Present Age .​

Answers

Question :-

After 24 years, Rama will be 5 times as old as he is now . Find his Present Age .

Answer :-

Present Age of Rama is 6 Years .

[tex] \rule {180pt} {2pt} [/tex]

Given :-

After 20 years, Rama will be 5 times as old as he is Now .

To Find :-

Present Age of Rama = ?

Solution :-

As per the provided information in the given question, we have been given that After 20 years, Rama will be 5 times as old as he is now. And, we have been aksed to calculate Present Age of Rama.

Let :-

The Present Age of Rama be x .

Therefore :-

[tex] \longmapsto \: \: \:\sf{x \: + \: 24 \: = \: 5x} \\ [/tex]

[tex] \longmapsto \: \: \sf{24 \: = \: 5x \: - \: x} \\ [/tex]

[tex] \longmapsto \: \: \sf{24 \: = \: 4x} \\ [/tex]

[tex] \longmapsto \: \: \sf{x \: = \: \dfrac{24}{4} } \\ [/tex]

[tex] \longmapsto \: \: \textbf{ \textsf{x \: = \: 6 }} [/tex]

Hence :-

Present Age of Rama = 6 years .

[tex] \underline {\rule {180pt} {4pt}} [/tex]

Given :

After 24 years, Rama will be 5 times as old as he is now .

To Find :

Rama's Present Age .

Solution :

Let us assume the present age of Rama as x years .So, 5 times of his age will be 5x years.

Now,

According to the Question :

[tex]{ \longrightarrow {\qquad {\sf 5x = x + 24 }}}[/tex]

Subracting x from both sides we get :

[tex]{ \longrightarrow {\qquad {\sf 5x - x= x - x+ 24 }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf 4x= \cancel{x} \: \: \cancel{- x}+ 24 }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf 4x= 24 }}}[/tex]

Dividing both sides by 4 we get :

[tex]{ \longrightarrow {\qquad {\sf \dfrac{4x}{4} = \dfrac{24}{4} }}}[/tex]

[tex]{ \longrightarrow {\qquad \pmb {\bf x= 6 }}}[/tex]

Therefore,

Rama's present age is 6 years.

What is the measure of ∠ABD?

Answers

Answer: 114 degrees

Step-by-step explanation:

47/100+3/10+47/100=/100

Answers

Answer:

The total is 97/100

Step-by-step explanation:

47/100+3/100=50/100 (aka 1/2)

50/100+47/100=97/100

Answer:

47/100+3/10+47/10=97/100

¹

47

47

+3

__

97

prove that the statement is true
AC ≅DB

Answers

Answer:

Can't answer with out the picture

Step-by-step explanation:

Help me with number three

Answers

Answer:

Volume: 16.76 cm^3

Surface area: 40.67 cm^2

Step-by-step explanation:

To find volume, you use the formula V=πr^2*h/3

To find the surface area you use formula A=πr(r+√h^2+r^2)

Answer:

V = 16.76

Surface Area = 40.67

Step-by-step explanation:

V=πr2h

A=πrl+πr2

Samantha spent 40 minutes on homework. Sixty percent of that time was spent on language arts. How many minutes were spent on language arts?

A 2-column table with 10 rows titled Time Spent. Column 1 has entries 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent. Column 2 has entries 4 minutes, 4 minutes, 4 minutes, 4 minutes, 4 minutes, 4 minutes, 4 minutes, 4 minutes, 4 minutes, 4 minutes.

Answers

Answer:

24 Minutes

Find 60 percent of 40.

Percent means over 100

,so 60% = 60/100 or 0.6

Multiply that by 40 to find 60% of it:

40 * 0.6 = 24

A Samantha spent percent 24 minutes on language arts out of the 40 minutes dedicated to her homework.

To find the number of minutes Samantha spent on language arts,  to calculate 60% of the total time  spent on homework.

Samantha spent a total of 40 minutes on homework.

To find 60% of 40 minutes, multiply 40 by 0.60 (since 60% is equivalent to 0.60):

60% of 40 = 0.60 × 40 = 24 minutes

Therefore, Samantha spent 24 minutes on language arts.

Regarding the 2-column table provided, it appears to be unrelated to the problem and does not directly provide information about Samantha's homework time. It contains entries for "Time Spent" in percentages and corresponding minutes, but these percentages and minutes do not seem to relate to the given problem.

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Busy Bees Charter school is going to celebrate the end of the school year at an amusement park. Student tickets at the amusement park are $20 each, and adult tickets are $35 each. The bus of 42 people paid $1080 to enter the amusement.
​Part A
If x is the number of students and y is the number of adults, write a system of equations to represent the situation.
Cost:
20x+35y=1080

People:
x+y=42

Part B
Solve the system of equations using elimination or substitution. Show your work.
​x =

​y =

​Part C
What does the solution of the system mean in this situation?

Answers

The number of people that went to the amusement park consisted of 26 students and 16 adults.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x is the number of students and y is the number of adults. The bus of 42 people paid $1080 to enter the amusement. Hence:

x + y  = 42   (1)

Also:

20x + 35y = 1080    (2)

From equation 1 and 2:

x = 26, y = 16

The number of people that went to the amusement park consisted of 26 students and 16 adults.

Find out more on equation at: https://brainly.com/question/2972832

ive been struggling all day

Answers

Answer:

9

Step-by-step explanation:

       I hope this makes sense, whatever is underlined becomes part of our algebraic expression in the next line:

       9 is multiplied by the cube of a number.

       9 * the cube of a number.

       9 * the cube of x.

       9 *

       9

can someone pls help me with this

Answers

I want to say it’s 8.66 or 17.32 if I am wrong I am terribly sorry I haven’t been taught this since 8th grade have a great day I hope you get it right !

if (4x - 58) + x = 2, what is x??

Answers

4x+x-58=2
5x=58+2
5x=60
x=12

First, combine like terms:

4x -58 +x =2 can be rewritten as 5x - 58 =2

Next, isolate the x on one side of the equation by adding 58 to both sides:

5x = 60

Now, isolate x again by dividing by 5 on both sides of the equation:

Answer: x = 12

Find the % of change. Original price: $185 New price: $160

Answers

Answer:

-13.51

Step-by-step explanation:

work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100.,


so, -13.51

I need help quickly!

What are the points using the equation 50x+y=-100?

Answers

Answer:

Equations .

0 + 5

Step-by-step explanation:

#BrainliestBunch

22x+100=25x+70
Find the X

Answers

Answer:

X=10

Step-by-step explanation:

Step 1: Subtract 100 from both sides of the equation.

Step 2: Simplify.

Step 3: Subtract 25x from both sides of the equation.

Step 4: Simplify.

Step 5: Divide both sides of the equation by the same term.

Step 6: Simplify.

X=10 :)

Answer:

x = 10

Step-by-step explanation:

In this question we are given an equation that is 22x + 100 = 25x + 70. And we are asked to find the value of x .

Solution : -

[tex] \longmapsto \:22x + 100 = 25x + 70 [/tex]

Step 1 : Subtracting 100 from both sides :

[tex] \longmapsto \:22x + \cancel{100} - \cancel{100} = 25x + 70 - 100[/tex]

On further calculations we get :

[tex] \longmapsto \: 22x = 25x - 30[/tex]

Step 2 : Subtracting 25x from both sides :

[tex] \longmapsto \:22x - 25x = \cancel{ 25x} - \cancel{25x }- 30[/tex]

On further calculations we get :

[tex] \longmapsto \: \cancel{- }3x = \cancel{ - }30[/tex]

Step 3 : Dividing with 3 on both sides :

[tex] \longmapsto \: \frac{ \cancel{3}x}{ \cancel{3}} = \cancel{\frac{30}{3} }[/tex]

On further calculations we get :

[tex] \longmapsto \: \purple{\boxed{ \frak{x = 10}}}[/tex]

Henceforth , value of x is 10 .

Verifying : -

We're verifying our answer by substituting value of x in given equation . So ,

22x + 100 = 25x + 70

22 ( 10 ) + 100 = 25 ( 10 ) + 70

220 + 100 = 250 + 70

320 = 320

L.H.S = R.H.S

Hence, Verified.

Therefore, our value for x is correct .

#Keep Learning

A plane drops 300 feet, rises 240 feet, drops 180 feet, and rises 130 feet. What is the height of the plane now relative to its initial height?

Answers

Answer:

it is IH - 110 ft

Step-by-step explanation:

The plane height is down 110 feet from its initial height.

What is subtraction?

Subtraction is mathematic operation. Which is used to remove terms or objects in expression.

Let x be the initial height of the plane.

Then according to question;

if drop down means height in negative term and rise up means height in the positive term.

Then,

the height is

= x -300-180+240+130

= x-110

Therefore, down 110 feet is the height of the plane now relative to its initial height.

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An object traveling with an initial constant speed along the y-axis begins to decelerate 4 kilometers before reaching a reference position. Its position is given by the function
y
=

t
2
+
3
t

4
, where t is the time in seconds. Which value is equal to the average rate of change of the function over the interval
(
0
,

4
)
to
(
2
,

2
)
?

Answers

The value that is equal to the average rate of change of the function over the interval is equal is 1 m/s

The average rate of change

Given the position of the object expressed as:

y = -t^2 + 3t - 4

In order to calculate the value that is equal to the average rate of change of the function over the interval (0, -4) and (2, -2), we will determine the slope of these two coordinates as shown;

Rate of change = -2-(-4)/2-0
Rate of change = -2+4/2
Rate of change = 2/2

Rate of change = 1 m/s

Hence the value that is equal to the average rate of change of the function over the interval is equal is 1 m/s

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Autumn has a bag full of M&M's candies. There are 6 brown, 5
blue, 8 yellow, 4 red, and 2 orange candies in the bag. Determine
the probability that Autumn will randomly select a candy that is
NOT orange.

O likely
O as likely as not
O unlikely
O certain

Answers

Answer:

Highly highly likely

Step-by-step explanation:

there is really only a 2/25 chance to pull one, so there is a 23/25 chance to not pull an orange

30 POINTS!!
2/5v = 4

v = 10
True or False?

Answers

Answer:

its true

Step-by-step explanation:

[tex]\frac{2}{5} * \frac{10}{1}=\frac{20}{5}[/tex]
[tex]\frac{20}{5} = \frac{4}{1} = 4[/tex]

have a good day.

Answer:

True.

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Multiply the reciprocal of the fraction to both sides to isolate the variable, v.

The reciprocal in math is described as the quantity that is multiplied that will result in 1. In this case, you will multiply 5/2 to both sides of the equation:

[tex]\frac{2}{5}v = 4\\ \\(\frac{5}{2})\frac{2}{5}v = 4 * (\frac{5}{2})\\[/tex]

[tex]v = \frac{4 * 5}{2} = \frac{20}{2} = 10\\ v = 10[/tex] (True).

In this case, v = 10 will work to solve the given equation, and so it is true.

~

7 > −2; Subtract 7 from both sides.

Answers

[tex]7 > -2\\7 -7 > -2-7\\0 > -9[/tex]

Hope that helped!

Consider the two-way table below. A 4-column table has 3 rows. The first column has entries A, B, total. The second column is labeled C with entries 15, 9, 24. The third column is labeled D with entries 21, 25, 46. The fourth column is labeled Total with entries 36, 34, 70. Find P(B|C). P(B|C) = StartFraction 9 Over 34 EndFraction = 0. 26 P(B|C) = StartFraction 9 Over 24 EndFraction = 0. 38 P(B|C) = StartFraction 9 Over 70 EndFraction = 0. 13 P(B|C) = StartFraction 9 Over 58 EndFraction = 0. 16.

Answers

The probability is the ratio of the favorable event to the total number of events. Then the P(B|C) is 0.38. Then the correct option is B.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

According to the condition, the table will be

                      C                   D               Total

  A                 15                  21                 36

  B                  9                  25                34

Total              24                 46                70

The probability of the (BIC) will be

[tex]\rm P(B|C) = \dfrac{9}{24}\\\\\\P(B|C) = 0.375 \approx 0.38[/tex]

The P(B|C) is 0.38. Then the correct option is B.

More about the probability link is given below.

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What is the value of t?

Answers

Answer:

43

Step-by-step explanation:

Bert's cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline's cab company charges $3.00 plus an additional $2.00 per mile for a ride. At what distance, in miles, will the cost be the same for both companies?

PART A
Answer: _____

PART B
Which cab driver's charge will be less for a ride that is 10 miles in distance?
Answer choices: Bert's or Madeline's?

Please help! :D

Answers

Answer:

Step-by-step explanation:

PART A

Answer: no they will not be the same

PART B

Which cab driver's charge will be less for a ride that is 10 miles in distance?

Madeline's is cheaper

Bert's cab company costs $31 and Madeline's cab company costs $23

100 POINTS
A scientist uses data from satellite images to draw conclusions about a region. After analyzing the data collected, the scientist issues a drought warning for the region.

Which data best supports the scientist’s decision to issue the warning?

(1 point)

New camping and recreational sites are changing the region’s ecosystem.

Air quality tests indicate an increase in toxins.

Large areas of forest are being cleared for logging.

Reservoirs and lake levels continue to drop significantly.

Answers

Which data best supports the scientist’s decision to issue the warning?

D) Reservoirs and lake levels continue to drop significantly.

Answer:

slay

Step-by-step explanation:

Halpppppppp
-
-
-
-
-

Answers

Step-by-step explanation:

x = number of t- shirts

the function for the incurring costs is

c = 5x + 45

the function for the accumulating sale is

s = 20x

the break even point is when both functions deliver the same result.

20x = 5x + 45

15x = 45

x = 3

c = s = 5×3 + 45 = 20×3 = $60

they need to sell 3 t-shirts to break even.

at that point they will have incurred $60 in costs and collected the same amount in sales.

What is the slope of a line that passes through (0, 6) and (9, 6)?

Answers

Horizontal lines have a slope of zero

Answer:

slope is 0(this is just the slope)

intercep in y is (0,6)

if you write it in y=mx+b is 6(this is slope intercept)

Write your own example of a biased question. I need this ASAP. Pls

Answers

Answer:

An example would be: Do you like cats or dogs more?

Step-by-step explanation:

The example for the biased survey question is : How awesome is the product?

What is a biased survey question?

A survey question is biased if it is phrased or formatted in a way that skews people towards a certain answer.

The question : - How awesome is the product?

The Fixed: How would you rate this product?

The examples of biased survey questions listed above contains a judgment, implying that the product is “awesome,” The corrected phrasing, on the other hand, is more objective, and contains no insinuations.

Hence, the example for the biased survey question is : How awesome is the product?

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Mai received and spent money and the following ways last month. For each example write a sign number to represent the change in money from her perspective.


A. Her grandmother gave her $25 in a birthday card.


B. She earned $14 by babysitting.


C. She spent $10 on a ticket to a concert.


D. She donated three dollars to a local charity.


E. She got two dollar interest on money that was in her savings account

Answers

By knowing how to use positive numbers and negative numbers, we will see that the answers are:

A)  C = $25B) C = $14C) C = -$10D) C = -$3E) C = $2

How to represent each change?

By standard notation, if May wins money, then we represent this with a positive number.

While if she pays or has a debt, we represent the change with a negative number (because now she has less money than before).

A) She receives $25, so the change is:

C = $25

B) She earns $14, so the change is:

C = $14

C) She spends $10, so now she has $10 less than before, the change is:

C = -$10

D) She donated $3, so the change is:

C = -$3

E) She gots $2, then the change is:

C = $2.

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Which value for x makes the sentence true?

3/4x + 4 = 7

Answers

Answer:

(x) = 4

Step-by-step explanation:

 3/4 (x) + 4 = 7

 3/4 (4) + 4 = 7

0.75 (4) + 4 = 7

          3 + 4 = 7

                7 = 7

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