7(6)^×=39How do I solve for x?

Answers

Answer 1

Given:

\(7(6)^x=39\)

Required:

We need to find the value of x.

Explanation:

Divide both sides of the equation by 7.

\(\frac{7(6)^x}{7}=\frac{39}{7}\)\((6)^x=\frac{39}{7}\)

Take a natural log on both sides of the equation.

\(In(6)^x=In(\frac{39}{7})\)\(Use\text{ }In(a)^n=nIn(a).\)\(xIn(6)=In(\frac{39}{7})\)\(Divide\text{ both sides of the equation by }In(6).\)\(\frac{xIn(6)}{In(6)}=\frac{In(39\/7)}{In(6)}\)\(x=\frac{In(39\/7)}{In(6)}\)\(x=0.9587\)\(x=0.96\)

Final answer:

\(x=0.9587\)\(x=0.96\)


Related Questions

GIVING ALOT OF POINTS AND I GIVE BRAINLIEST

The access ramp to a parking lot has a rise of 15 feet and a run of 57 feet. To the nearest degree, find the angle between the ramp and the run

Answers

draw a diagram
the diagram is a right triangle
use the tangent function
tan=opposite/adjacent
call the angle "θ"
tanθ=15/57
tanθ=0.2631579
use the arctan function on your calculator
tan-1θ=0.2631579
θ=14.74356312º or 14º 44' 36.827"

HELP PLEASE

5/8 x 4/7

A. 32/35

B. 3/5

C. 20/56

D. 5/14

Answers

Answer:

C.

Step-by-step explanation:

Answer the given problem.
Process the data in excel and present the results.
A researcher is interested in knowing how well he can predict blood pressure from sodium intake.
1. Formulate the regression equation for the data.
2. What would be a likely blood pressure reading for a patient with a sodium intake of 6.0? Of 8.5?
PatientsSodiumBP16.515127.317036.616547.517257.618766.716176.716987.819297185107.4190116.2145126.7143​

Answers

A regression model is used to show the relationship between variables on a scatter plot

The regression equation is: \(\^y = 28.2\^x- 27.9\)The likely blood pressure for a patient with sodium intake of 6.0 and 8.5 are 141.3 and 211.8, respectively

How to formulate the regression equation

Using the Microsoft Office Excel, we have the following calculation summary

Sum of X = 84Sum of Y = 2030Mean X = 7Mean Y = 169.1667Sum of squares (SSX) = 2.82Sum of products (SP) = 79.4

So, the regression equation is:

\(\^y = 28.2\^x- 27.9\)

Blood pressure for a sodium intake of 6.0 and 8.5

This means that x = 6.0 and x = 8.5

When x = 6.0, we have:

\(\^y = 28.2 * 6.0- 27.9\)

\(\^y = 141.3\)

When x = 8.5, we have:

\(\^y = 28.2 * 8.5- 27.9\)

\(\^y = 211.8\)

Hence, the likely blood pressure for a patient with sodium intake of 6.0 and 8.5 are 141.3 and 211.8, respectively

Read more about regression at:

https://brainly.com/question/17844286

After 5 hours of flight, how much farther would the fastest bird have traveled than the slowest bird?

After 5 hours of flight, how much farther would the fastest bird have traveled than the slowest bird?

Answers

Answer: The crow would have traveled 40 miles per hour faster than the seagull after 5 hours of flight

Step-by-step explanation: (crow) 24 times 5 is 120 (seagull) 16 times 5 is 80, so it’s 120 - 80 which is 40

Write y = 5(x - 8)^2 + 4 in standard form

Answers

Answer:

\(y=5x^2-80x+324\)

Step-by-step explanation:

This problem refers to triangle ABC. If B = 150°, C = 20°, and c = 21 inches, find b. (Round your answer to the nearest whole number.)
b = ? in

Answers

Answer:

Step-by-step explanation:

To solve for b, we can use the law of sines, which states that in any triangle ABC:

a/sin(A) = b/sin(B) = c/sin(C)

Here, we are given B = 150°, C = 20°, and c = 21 inches. We can solve for the remaining angle A by using the fact that the angles of a triangle add up to 180°:

A + B + C = 180°

A = 180° - B - C

A = 180° - 150° - 20°

A = 10°

Now we can use the law of sines to solve for b:

a/sin(A) = b/sin(B)

a = c * sin(A)/sin(C) = 21 * sin(10°)/sin(20°)

b = a * sin(B)/sin(A) = 21 * sin(10°)/sin(20°) * sin(150°)/sin(10°)

b = 21 * sin(150°)/sin(20°)

Using a calculator, we get:

b ≈ 41 inches (rounded to the nearest whole number)

Therefore, the length of side b is approximately 41 inches.

5. The highest temperature ever recorded, which was in California, was measured at an elevation of -179 feet. The lowest temperature ever recorded in California was at an elevation of 5,575 feet. What was the difference in the elevations?​

Answers

5754 ft. 5575 + 179 = 5754 Fr

How much should I leave for a tip?​

How much should I leave for a tip?

Answers

I would say your should leave 10% of your bill as a tip

Answer:

$8.40 tip and $56 bill = $64.40 (including tip)

Step-by-step explanation:

15% of 56 is 56*0.15 = 8.4 tip

Factor the expression.
6x2 + 5x + 1
___________________
A.) (3x – 1)(2x + 1)
B.) (3x – 1)(2x – 1)
C.) (3x + 1)(2x + 1)
D.) (3x + 1)(2x – 1)

Answers

Answer:

The correct answer is C.) (3x+1) (2x+1)

Step-by-step explanation:

A principal wants to find out how many hours per week the students in the school spend
on exercise. Which sample is likely to be most representative of the student population?

A principal wants to find out how many hours per week the students in the school spendon exercise. Which

Answers

I think B (Every fifth student from each grade)

A only talks about female students, C talks about students on a sports team which would be biased since the students on the sports team probably get more exercise, and d would be ok but not the best since some last names are more common and others you would get only a very small sample size.

The length of a rectangle is shown below:

If the area of the rectangle to be drawn is 12 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (1 point)

A. C(−3, −2), D(1, −2)
B. C(−3, −1), D(1, −1)
C. C(−3, −4), D(1, −4)
D. C(−3, −5), D(1, −5)

The length of a rectangle is shown below:If the area of the rectangle to be drawn is 12 square units,

Answers

Answer:

A - C(-3, -2), D(1, -2)

Step-by-step explanation:

A coin is flipped 8 times. Find the probability of the event:

exactly 6 heads

Answers

Answer:

P(E)=56256=732.  Step-by-step explanation:

Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row

which inequality statement below is true?
7.745966… > √59
7.745966… < √59

Answers

The inequality statement 7.745966… < √59 is true.

The symbol √59 represents the square root of 59, which is approximately 7.681146. The value 7.745966… is a decimal representation of the square root of 59 that has been rounded to three decimal places. Because 7.681146 is less than 7.745966, the inequality statement 7.745966… < √59 is true.

Among the following which is the best
example for unlike terms?
O8x, 9t
O 9x-2x
О 3р. 5р
All of the choices

Answers

Answer 8x, 9t

The variable X and T are different and cannot be combined.

Hope this helps :)

Find the midpoint of the line segment joining points A and B.
A(2,- 7); B(2,3)

Answers

Answer: (2, -2)

Step-by-step explanation:

\(\left(\frac{2+2}{2}, \frac{3-7}{2} \right)=(2,-2)\)

Find the midpoint of the line segment joining points A and B.A(2,- 7); B(2,3)
The midpoint would be (2,-2).
Find the midpoint of the line segment joining points A and B.A(2,- 7); B(2,3)

Calcular los 3/5 de los 2/3 de las 3/4 de 560

Answers

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

How to solve fractions?

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

Find out more on fractions here: https://brainly.com/question/78672

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Simplify.
21. (2x^4- 6x^3 + x^2 - 3x - 3) / (x - 3)

Answers

Answer:

https://www.tiger-algebra.com/drill/2x~4-6x~3-x~2_3x/

Solve the quadratic equation 8x2 + 6x = 5 using the quadratic formula.
Question 19 options:

A)

x = –5∕4, x = 1∕2

B)

x = –5∕4, x = –1∕2

C)

x = –1∕2, x = 5∕4

D)

x = 1∕2, x = 5∕4

Answers

Answer: A

Step-by-step explanation:

\(8x^2 +6x=5\\\\8x^2 +6x-5=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(8)(-5)}}{2(8)}\\\\x=\frac{-6 \pm 14}{16}\\\\x=-\frac{5}{4}, \frac{1}{2}\)

Solve the quadratic equation 8x2 + 6x = 5 using the quadratic formula.Question 19 options:A) x = 54,

show your work please so I can understand it better

show your work please so I can understand it better

Answers

Answer:

b/7=-5

b=-5×7

b=-35

Step-by-step explanation:

2.c/8-(-9)=18

c/8+9=18

c/8=18-9

c/8=9

c=9×8

c=72

b/7 = -5

multiply both sides by seven

b= 7(-5)

multiply 7 times negative 5

b= -35

—————————-

c/8 - (-9) = 18

c/8 + 9 = 18

subtract both sides by 9

c/8 =18 - 9
c/8 = 9

multiply both sides by 8

c = 8(9)

c = 72




hope this helped :)

Let y represent any number in this sequence.1, 5, 25, 125,Which of these can be used to determine the next number in this sequence?5yy/5y+4

Answers

we have

\(undefined\)

angle of is a right angle. the sides of are the diameters of semicircles as shown. the area of the semicircle on equals , and the arc of the semicircle on has length . what is the radius of the semicircle on ?

Answers

The radius of the semicircle having an arc of length equal to 8.5 \(\pi\) in a right-angle triangle ABC is equal to 7.5 cm.

Given:

Angle ABC of triangle ABC is a right angle. The sides of ABC are the diameters of semicircles.

The area of the semicircle on AB equals 8\(\pi\).

Area of a semicircle = \(\pi r^2/2\)

Therefore:

\(\pi r^2/2\) =  8\(\pi\)

\(r^2 = 16\)

\(r = 4\)

Next, the arc of the semicircle on AC has a length of 8.5\(\pi\).

Length of the arc of a semicircle = \(\pi r\)

\(\pi r\) = 8.5\(\pi\)

\(r = 8.5\)

Using Pythagoras theorem

\(8.5^{2} = 4^{2} + x^{2}\)

\(x^{2} = 8.5^2 - 4^2\\\)

\(x^{2} = 56.25\)

\(x = \sqrt{56.25}\)

\(x = 7.5\)

The radius of the semicircle of BC = 7.5 Units.

Refer to this complete question for this:

Angle ABC of triangle ABC is a Right angle. The sides of ABC are the diameters of semicircles as shown. The area of the semicircle on AB equals 8pi and the arc of the semicircle on AC has a length of 8.5pi. What is the radius of the semicircle of BC?

To learn more about the Pythagoras theorem visit: https://brainly.com/question/343682

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angle of is a right angle. the sides of are the diameters of semicircles as shown. the area of the semicircle

If user 6583 answers 29 questions for 215 b points how many points are there average

Answers

Answer:

7.4137931034

Step-by-step explanation:

Average per question = total points/total questions = 215/29 = 7.4138...

Answer:

the answer is 7.413793103

Step-by-step explanation:

here, the average is calculated by total points / no. of questions.

= 215/29

= 7.413793103...is answer.

hope it's what you are searching for..

55
At a restaurant, the bill comes to $65. If you decide to leave a 11% tip, how much is the tip?
$
Give dollars and cents (like 1.23)

Answers

Answer:

Step-by-step explanation:

To find the tip, we first need to calculate 11% of the bill amount, which is:

0.11 x $65 = $7.15

Therefore, the tip is $7.15.

Answer:

$7.15

Step-by-step explanation:

Syep by step picture attached

55At a restaurant, the bill comes to $65. If you decide to leave a 11% tip, how much is the tip?$Give

which set of expo pens has a cheaper price the set of 8 which cost in total 11.57$ or the set of 4 which is 4.49

Answers

Answer:

the 4.49 ones.

Step-by-step explanation:

11.57 divided by 8 would result in each pen costing 1.44$ per pen. Meanwhile, dividing 4.49 by 4 would result in each pen costing 1.12$.

Answer: The second deal is cheaper

=========================================================

Explanation:

We're looking for the unit cost, which is the cost for one item (in this case, it's the cost of one pen). To get the unit cost, divide the total cost over the number of pens.

For the first deal, we have a unit cost of 11.57/8 = 1.44625 which rounds to 1.45 dollars.

The unit cost for the second deal is 4.49/4 = 1.1225 which rounds to 1.12 dollars. The second deal is the cheaper option due to 1.12 being smaller than 1.45

What is F(-x)?
F(x)=x^3+1

Answers

Answer:

F(-x) = 0

Step-by-step explanation:

What is F(-x)?

F(-x) = F(-1)

F(x) = x³ + 1                              F(-1)

F(-1) = -1³ + 1

F(-1) = -1 + 1

F(-1) = 0

So, F(-x) = 0

Answer:

f(-1) = 0

Step-by-step explanation:

Evaluating a function for f(-x) is the same as evaluating it for f(-1).

So we plug in -1 instead.

f(-1) = x³ + 1  

      = (-1)³ + 1 (here we cube -1)

      = -1 + 1     (here we subtract)

      = 0           (and, this is the answer)

\(\therefore\) The answer is f(-1) = 0

Please answer it. Thank you

Please answer it. Thank you

Answers

Answer:

\(5x + 1 + 90 + 7x - 7 \\ 12x + 84 \\ 12x = - 84 \\ x = 7\)

513.4497 rounded to the hundredths place

Answers

Answer:

513.45

Step-by-step explanation:

use intelligence

The answer is 513.45

which equation matches the table

which equation matches the table

Answers

Answer:

( B ) definitely .. try each choice and you will see .

Answer:

b

Step-by-step explanation:

helo please show work ​

helo please show work

Answers

Answer:

Step-by-step explanation:

Solution:

We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).

The GCF of 305 and 60 is 5.

Divide both terms by 5.

305 ÷ 5 = 61

60 ÷ 5 = 12

Therefore:

305 : 60 = 61 : 12

What integer is having 3 dollats

Answers

Answer:

Why is 3 an integer?

They are the numbers you usually count and they will continue on into infinity. Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4

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