What value of x satisfies this equation?

10(1.5)^3x = 80

Round your answer to the nearest hundredth.

The value of x is ___

Answers

Answer 1

Answer:

1.71

Step-by-step explanation:

got it right on my test

Answer 2

The required value of x for the given equation is about 1.71.

Equation:

Important information:

The given equation is [tex]10(1.5)^{3x}=80[/tex].

Divide both sides by 10.

[tex](1.5)^{3x}=\dfrac{80}{10}[/tex]

[tex](1.5)^{3x}=8[/tex]

Taking log on both sides, we get

[tex]\log (1.5)^{3x}=\log 2^3[/tex]

[tex]3x\log (1.5)=3\log 2[/tex]

Divide both sides by 3log(1.5).

[tex]x=\dfrac{3\log 2}{3\log 1.5}[/tex]

[tex]x=\dfrac{\log 2}{\log 1.5}[/tex]

[tex]x\approx 1.71[/tex]

Therefore, the required value of x for the given equation is about 1.71.

Find out more about 'Equation' here:

https://brainly.com/question/11162571


Related Questions

I need help please. .

Answers

Answer:

i think c

Step-by-step explanation:

What is the quotient?
6)12
A 2
B. 3
C. 4
D. 5

Answers

Answer:

A.2 po

Step-by-step explanation:

himdi po ako sure sa answer ko

I believe the answer is A

(AUB) nc
[2]
A union b intersection c’

Answers

See the attached image.

We start this problem by finding the union of [tex]A[/tex] and [tex]B[/tex]. This is highlighted in green in the attachment.

Next, we find the intersection of that area and [tex]C[/tex] (highlighted in yellow). This means we need to find the area where both [tex]A\cup B[/tex] and [tex]C[/tex] are highlighted. This intersection is highlighted in pink and is the final answer.

(Apologies for the image quality.)

Look at the triangle below.



Which of the following statements is not true?


a+b=y

180−(a+b)=y

x+y=180

180−x=a+

Answers

x+y=180 a+b=y

180−(a+b)=y

All of the following ordered pairs satisfy the function rule y=-3x+2 except
(1, -1)
(4,-10)
(-2,8)
(-3, 12)

Answers

Answer:

The ordered pair (-3, 12) DOES NOT satisfy the equation.

Step-by-step explanation:

Given the function

[tex]y=-3x+2[/tex]

Let us substitute all the values to check which points satisfy the function.

FOR (1, -1)

y = -3x+2

substitute x = 1, y = -1

-1 = -3(1) + 2

-1 = -3+2

-1 = -1

TRUE!

Thus, the ordered pair (1, -1) satisfies the equation.

FOR (4, -10)

y = -3x+2

substitute x = 4, y = -10

-10 = -3(4) + 2

-10 = -12+2

-10 = -10

TRUE!

Thus, the ordered pair (4, -10) satisfies the equation.

FOR (-2, 8)

y = -3x+2

substitute x = -2, y = 8

8 = -3(-2) + 2

8 = 6 + 2

8 = 8

TRUE!

Thus, the ordered pair (-2, 8) satisfies the equation.

FOR (-3, 12)

y = -3x+2

substitute x = -3, y = 12

12 = -3(-3) + 2

12 = 9+2

12 = 11

L.H.S ≠ R.H.S

FALSE!

Thus, the ordered pair (-3, 12) DOES NOT satisfy the equation.

Therefore, the ordered pair (-3, 12) DOES NOT satisfy the equation.

Identify if it is Additive or Multiplicative.Also make the equation that matches.

Answers

Answer:

additive

Step-by-step explanation:

X +9 = Y

Hope this helps!

Braniliest?

A room 24'-0" x 22'-6" requires ____ square feet of ceiling tile and ____ square yards of carpet. (1 square yard = 9 square feet; 3' x 3' = 9')

Answers

Answer:

540 ft² ; 60 yd²

Step-by-step explanation:

1 square yard = 9 ft²

Dimension of room:

24ft 0in by 22ft 6in

1 in = 1/12 ft

6in = (1/12) * 6 ft = 0.5 feet

Hence, Dimension of room in feet ;

24ft by 22.5 ft ;

Square feet of ceiling tiles; (24 * 22.5)ft² = 540ft²

Square yards of carpet needed :

1 yd² = 9 ft²

Let yd² of carpet needed = x

1 yd² = 9 ft²

x yd² = 540 ft²

Cross multiply ;

9x = 540

x = 540 / 9

x = 60

Hence, 60yd² of carpet is needed

a rectangular box has 6 flat faces and ? straight edges

A.4
b.6
c.8
d.10
e.12

Answers

Answer:

12 straight edges

Answer: 12

Step-by-step explanation:

Help please on this question

Answers

Answer: I think that if it is not 214 than you should just guess and see if that is the correct answer

Step-by-step explanation:

If charlie runs to the store 3 miles away in 32 minutes, what is his speed?

Answers

Answer:

5.63

Step-by-step explanation:

i took the test

Answer:

5.63 miles per hour

0.0948 miles per minute

10:40 pace per mile

Which of the following graphs represents a relation that is not a function

Answers

It’s the second graph :)

Please answer this for 100 points. Also click on the picture to full screen it.

Answers

Answer:

C

Step-by-step explanation:

Hope this helps have a great day. :))))

I NEED HELP WITH THIS PROBLEM

Answers

Answer:

3 1/2, 3

Step-by-step explanation:

Good luck!

Answer:

(3.5,-3)

hope that helpeddd :)

X + 10y - 4y + 4x

:combine like terms:​

Answers

Answer: X+10ty explanation: I don’t have one it just makes sense

what is --
% of $85 = $17

Answers

Answer:

78

Step-by-step explanation:

Answer

78

Step-by-step explanation:

is lebron james black

Answers

Of course Lebron is black, lol.

Answer:

yes he is a african american

Step-by-step explanation:

For the given pair of equations, give the slopes of the lines, and then determine whether the two lines are parallel, perpendicular, or neither.
10x – 3y = 3
3x + 10y = 30
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope of 10x - 3y = 3 is
(Type an integer or a simplified fraction.)
O B. The slope of 10x - 3y = 3 is undefined.

Answers

Answer:

the lines are perpendicular to each other

Step-by-step explanation:

The standard form of equation of a line is y = mx+c

m is the slope of the line

c is the intercept

Given the equations

10x – 3y = 3

3x + 10y = 30

Get the individual slopes

For 10x – 3y = 3

Rewrite in standard form

-3y = -10x + 3

y = 10/3 x - 3/3

y = 10/3 x  - 1

Slope of the line is 10/3

For the equation 3x + 10y = 30

10y = -3x+30

y = -3/10 x + 3

Slope of the line is -3/10

Take the product of the slopes

10/3 * -3/10 = -1

Since the product of their slopes is -1, hence the lines are perpendicular to each other

The physical plant at the main campus of a large state university receives daily requests to replace florescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 37 and a standard deviation of 8. Using the empirical (68-95-99.7) rule, what is the approximate percentage of light bulb replacement requests numbering between 37 and 61

Answers

Answer:

49.85% of light bulb replacement requests numbering between 37 and 61

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 37, Standard deviation = 8

Using the empirical (68-95-99.7) rule, what is the approximate percentage of light bulb replacement requests numbering between 37 and 61

37 is the mean

61 = 37 + 3*8, so 61 is three standard deviations above the mean

The normal distribution is symmetric, which means that 50% of the measures are above the mean and 50% are below.

By the Empirical Rule, of the 50% of the measures that are above the mean, 99.7% will be between the mean of 37 and three standard deviations above the mean, which is 61. So, this percentage is:

0.5*0.997 = 0.4985 = 49.85%

Which sentence is true about an equiangular triangle
A. Only 2 angles have the same measure.
B. Only 2 sides are the same length.
C. Each angles has a different measure.
D. All sides are different lengths.
E. All angles have the same measure.

Answers

Answer:

E

Step-by-step explanation:

it has equi which means equal then it has angle. Equal angle triangle

Answer:

E

Step-by-step explanation:

its equal triangle hope this helped good luck

PLEASE HELP FIND THE MEDIAN OF THESE NUMBERS:

55, 42, 78, 99, 69, 83, 74, 83, 97

Answers

median:78
mode:83
mean:75.6
q1:62
q3:90

jim had 20 to spend at the video rental he has a late fee of 4.00 and it will cost him 2.99 to rent each movie not including tax, which inequality can jim write to solve for the most number of movies, m, he can rent

Answers

Answer:

2.99m-4 (less than or equal to symbol after) 20

Step-by-step explanation:

This would come out too 5 movies because 20-4= 16 16-2.99=5.3 but it is impossible to buy 5.3 movies so you would round it down to 5

What is the slope of (-2,5) and (-2, -6)
a m=undintified
b m= 0
c m= 11 over 4
d m= negative 11 over 4

Answers

Answer:

B

Step-by-step explanation:

Apply slope intercept form, y2-y1 / x2 - x1. -6 is y2, -2 is x2, 5 is y1, and -2 is x1.

-6 - 5 / - 2 - (-2)

-11 / -2 + 2

-11 / 0

0

The slope is 0. B is your answer. I hope this helps you!

10,000 times 100,00 help please

Answers

Answer:1,000,000

Step-by-step explanation:THERE U GO :)

5% as a decimal and a fraction

Answers

Answer:

5%=0.05=1/20

Step-by-step explanation:

Can someone help me pls

Answers

The answer for this is C

1 foot =12 inches therefore 3 feet = what

Answers

Answer:

36 inches

Step-by-step explanation:

Just multipy 3 by 12.

A family of three goes to a salon. Each person gets a haircut and highlights. The cost of each haircut is $15, and the cost per person for highlights is x dollars. Write and simplify an expression that represents the total cost for the family at the salon

Answers

Answer:

45+3.x

Step-by-step explanation:

Each person gets a haircut --> 3.15= 45

Yahir Garcia Solis
Gerald read
7
of a book. Mary read of the same book.
How much more of the book did Gerald read?

Answers

Georgia made many contributions to the war effort during World War I.

For each Georgia contribution, indicate the industry or group of people who made it. ( 1 answer will be used two times)

Trained Recruits

provided canned goods, uniforms, and bandages

planted victory gardens

Georgia farmers

volunteered for military duty

Georgia military facilities

grew cotton for clothing

CHOICES:

Georgia Farmers

Georgia Military facilities

Georgia Factories

Georgia Citizens

PLEASSS HELP!!!!!!! I REALLY NEED HELP!!

Answers

Answer:

[tex] \underline{ \boxed{x = 11} } \\ \underline{ \boxed{ABE = 55}}[/tex]

Step-by-step explanation:

[tex]if \: the \: question \: is \to \\ \overline{AZ} \: \perp \: \overline{CD}, \: m \angle{ABE} = 5x, \\ and \\ \: m \angle{EBD } = 3x + 2\\ but \: m \angle{EBD } + m \angle{ABE} = 90 \\ hence \to \\ (3x + 2) + (5x) = 90 \\ 8x + 2 = 90 \\ 8x = 90 - 2 \\ 8x = 88 \\ x = \frac{88}{8} \\ \boxed{ x = 11} \\ \\ if \: x = 11, \: then \to \\ m \angle{ABE} = \: 5x = 5(11) \\ \boxed{m\angle{ABE} =55}[/tex]

The question is on the jpg link.

Answers

Answer:

A. y=-4/3x

Step-by-step explanation:

The line that passes through those points has a slope of -4/3

Slope intercept form is y=mx+b

whereas m is the slope and b is where the line intercepts the y-axis.

the line intercepts the y-axis at the origin.

Substitute the slope into the equation

y=-4/3x+0

y=-4/3x

Hope this helps. Have a nice day you amazing bean child.

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