What is the solution to this equation?
log + log 3 =
log(+1)
OA I=
OB.
I=
OC
I=
D. = 1
312
NIT
13

What Is The Solution To This Equation?log + Log 3 =log(+1)OA I=OB.I=OCI=D. = 1312NIT13

Answers

Answer 1

Answer:

[tex]\textsf{B.} \quad x=\dfrac{1}{2}[/tex]

Step-by-step explanation:

Log laws

[tex]\textsf{Product law}: \quad \log_ax + \log_ay=\log_axy[/tex]

[tex]\textsf{Equality law}: \quad \textsf{if }\: \log_ax=\log_ay\:\textsf{ then }\:x=y[/tex]

Therefore:

[tex]\large \begin{aligned}\log_6 x+ \log_6 3 & =\log_6 (x+1)\\\log_6 (3x) & =\log_6 (x+1)\\3x & =x+1\\2x & =1\\x & =\dfrac{1}{2}\end{aligned}[/tex]


Related Questions

What is the area of the painting shown ?

Answers

Area = length x width

Length = x + 6 + x + 2 = 2x + 8

Width = x + 4 + x = 2x + 4


area = 2x + 8 * 2x + 4

multiply each term by each term


Area = 4x^2 + 24x + 32

Answer: I think this is correct but i'm not sure! the answer should be 48 im not sure though

Step-by-step explanation:

6 x 2 = 12 x 4 = 48

I am thinking of a number. I multiply it by 8 and subtract 56.
I get the same answer if I multiply by 5 and subtract 8
What is my number?

Answers

Answer:

16

Step-by-step explanation:

[tex]8x-56=5x-8\\\\3x-56=-8\\\\3x=48\\\\x=16[/tex]

So, the number is 16

Find the gradient of the line segment between the points (-5,-2) and (4,3).
Give your answer in its simplest form.

Answers

Answer:

5/9

Step-by-step explanation:

Solution

The gradient of the line ment when two segment given (X1, Y1) and (X2, Y1) is points

m =

[tex] \frac{y2 - y1}{x2 - x1 } [/tex]

Here two points given, (-5,-2) and (4,3)

gradient (m):

[tex] \frac{3 - ( - 2)}{4 - ( - 5)} [/tex]

Which set of real numbers contains 23 and .45?

rational numbers

integers

natural numbers

whole numbers

Answers

Answer:

Option A, rational numbers

Step-by-step explanation:

Step 1:  Determine which option is correct

Option B and D are automatically ruled out because only one of them is a whole number and the other one is a decimal.  Option C doesn't work also because natural numbers are all the whole numbers that are greater than 1.  The only option that makes sense is option A which includes whole numbers and decimals.

Answer:  Option A, rational numbers

if a card is drawn at random from a deck of 52 cards, and then a fair coin is flipped, what are the total number of possible outcomes?

Answers

There are 104 outcomes

Considering that you are only drawing one card, the total outcome would remain at 52. However, because the coin has two sides, we must multiply 52 by 2 to get 104

Given the following absolute value equation, what would the coordinates of the vertex be?
​ y= -3 |x-5| +2
A (−5,2)(-5,2)(−5,2)
B (−3,−5)(-3,-5)(−3,−5)
C 5,2)(5,2)(5,2)
D (2,−5)(2,-5)(2,−5)

Answers

Answer:

  C.  (5,2)

Step-by-step explanation:

For parent function f(x) with vertex at (0, 0), translating it horizontally by "h" and vertically by "k" makes it look like

  f(x -h) +k

and the vertex moves to (h, k).

__

Here, the parent function |x| has its vertex at (0, 0). Writing it as ...

  -3|x -5| +2

moves its vertex to (h, k) = (5, 2).

_____

Additional comment

The factor -3 serves to reflect the graph over the x-axis and expand it vertically by a factor of 3. It has no effect on the translation of the vertex.

Which describes the association between the number of DVDs sold and the number of DVDs rented?​

Answers

The integer representing the change in the number of DVDs sold is -10000.

What is a change in number?

Given, The number of DVDs shipped to an online retailer was 10,000 less than the previous year.  

We have to Use an integer to describe the change in the number of DVDs sold.

Now, let the number of DVDs shipped to an online retailer in the previous year be x.

Then, according to the given information, DVDs shipped to the online retailer this year will become x – 10000

So, now, the change in the number of DVDs sold = DVDs sold this year – DVDs sold last year

= x – 10000 – x

= 0 – 10000

= - 10000

Hence, the integer representing the change in the number of DVDs sold is -10000.

To know more about Selling follow

https://brainly.com/question/1153322

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what’s the geometric mean between 40 and 30????

Answers

Hi Student!

In the question we are given two numbers and told to find the geometric mean of them.  A normal mean would be just taking the average by multiplying them against each other and dividing by two.  However, for geometric mean we multiply them against each other but put them inside of a square root.

[tex]mean = \sqrt{a*b}[/tex]

[tex]mean = \sqrt{40*30}[/tex]

[tex]mean = \sqrt{1200}[/tex]

[tex]mean = \sqrt{20^2*3}[/tex]

[tex]mean = 20\sqrt{3}[/tex]

Therefore, our geometric mean is [tex]34.64[/tex] or [tex]20\sqrt{3}[/tex].

The diameter of the circle is 5 inches, the circumference is 15.70 inches, and the area is 19.625 square inches.

Use the formula for area and solve for the value of pi for the circle.

Answers

Answer:

it is approximately 19.63.

Step-by-step explanation:

Area= pi r^2

Two Truths and a Lie: Remember, the function has a maximum and an axis of symmetry at x = 2. Two of the following functions could represent this scenario while one cannot. Determine which two could represent the scenario and which one cannot. Explain how you know and show all necessary work to support your reasoning. a) f(x) = −x 2 + 4x + 2 b) g(x) = −(x + 2) 2 − 5 c) h(x) = −2(x − 1)(x − 3)

Answers

The functions f(x) and h(x) have an axis of symmetry of x = 2 and a maximum

How to determine the function?

The functions are given as:

f(x) = -x² + 4x + 2g(x) = -(x + 2)² - 5h(x) = -2(x − 1)(x − 3)

A quadratic function can be represented as:

y = ax² + bx + c

y = a(x - h)² + k

In both cases, when a < 0; the function has a maximum.

This means that all three functions have a maximum.

Next, we determine the axis of symmetry:

In y = ax² + bx + c, the axis of symmetry is x = -b/2aIn y = a(x - h)² + k, the axis of symmetry is x = h

Using the above forms, we have:

f(x) = -x² + 4x + 2

Axis of symmetry, x = -4/(2 * -1)

x = 2

g(x) = -(x + 2)² - 5

Axis of symmetry, x = -2

h(x) = -2(x − 1)(x − 3)

Expand

h(x) = -2x² - 8x + 8

Axis of symmetry, x = -8/(2 * -2)

x = 2

This means that f(x) and h(x) have an axis of symmetry of x = 2

Hence, the functions f(x) and h(x) have an axis of symmetry of x = 2 and a maximum

Read more about quadratic functions at:

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Use the following data set to answer questions 9-16:
11, 18, 8, 15, 24, 14 9.
Identify the median. Round to the nearest tenth.​

Answers

Answer:

The answer is 14

Step-by-step explanation:

Put the numbers in order from least to greatest

9,8,11,14,15,18,24

Then you find the number in the middle and in this case that number would be 14

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

Convert the improper fraction to a mixed number 17/3​

Answers

Answer:

5 and 2/3

Step-by-step explanation:

17/3 = 17 - 3 = 14

1

14 - 3 = 11

2

11 - 3 = 8

3

8 - 3 = 5

4

5 - 3 = 2

5

So it’s 5 2/3

Can Someone please help me with my math

Answers

Answer: option 2 which is 1.825*10^-7

Step-by-step explanation:

The volume of a sphere with radius r
is given by the formula V=4/3 π r^3.
Find the volume of a sphere with radius 8 cm is

Answers

Answer:

2143.57 cm³

[tex] \: [/tex]

Step-by-step explanation:

In the question, it is given that a sphere has a radius of cm and we have to find the volume of the sphere.

To Find the volume of the cone, we must know this formula :

[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\[/tex]

Now, we will substitute the values in the formula :

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(8)}^{3}}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 512}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 1067.68}}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 1067.68 }{3} \: }}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{6430.72 }{3} \: }}}}}} \\ \\[/tex]

[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 2143.57}}}}}} \\ \\[/tex]

Therefore,

The volume of the sphere is 2143.57 cm³

what is the area of a heptagon with an apothem of 15.5 and side length of 15

Answers

Answer:

813.75

Step-by-step explanation:

area of a regular polygon = side length × # of sides × apothem × 1/2

here side length = 15 , # of sides = 7 ( a heptagon has 7 sides ) and apothem = 15.5

so area = 15 × 7 × 15.5 × 1/2

==> multiply 15 by 7 by 15.5

area = 1627.5 × 1/2

==> divide 1627.5 by 2

area = 813.75

m = − 1 6 , (6, −3) y =
5
6
x + 3

Answers

Answer:

6

Step-by-step explanation:

that is because 6 is x and y is -3

can someone do this for me please?! Just the answer pls

Answers

Answer:

1 is d

the square root of 36 = 6 which is the only equation with 36

2 is d

Using the identity sin? O + cos? O = 1, find the value of tan O, to the nearest
hundredth, if sin 0 = 0.27 and 0 < 0 < 7

Answers

Answer:

3.7

Step-by-step explanation:

Given

sin²θ + cos²θ = 1sinθ = 0.27

Solving for cosθ

cos²θ = 1 - sin²θcos²θ = 1 - (0.27)²cos²θ = 0.0729

Finding tanθ

tanθ = sinθ / cosθtanθ = 0.27 / 0.0729tanθ = 3.7

Verifying it lies in the range

θ = tan⁻¹ (3.7)θ = 74.88° Range is : 0 < θ < π/2 [or 0 < θ < 90°]It lies in the range [Verified]

Need help with my Study Island math. Wh I can help?

Answers

Step-by-step explanation:

scientific notation is

a.b × 10^c

with a being <> 0.

0.0002 cm = 2.0×10^-4 cm (the "2" moves 4 positions to the right for the actual number).

so, this is between 1.0×10^-4 cm and 1.0×10^-3 cm.

0.02 cm = 2.0×10^-2 cm (the "2" only need to move 2 positions to the right for the actual number).

so, this is between 1.0×10-2 cm and 1.0×10^-1 cm.

200 cm = 2.0×10² cm (now the "2" needs to move 2 positions to the left for the actual number).

so, this is between 1.0×10² cm and 1.0×10³ cm.

20,000 cm = 2.0×10⁴ cm (the "2" has to move 4 positions to the left for the actual number).

so, this is between 1.0×10⁴ cm and 1.0×10⁵ cm.

PLEASE HELP!!!

Which of the following is the Best Buy?

1 L for $1.68
0.5 L for $1.29
2 L for $3.40
3 L for $5.07

Answers

Answer:

it's 1 L

Step-by-step explanation:

it's pretty easy just do some multiplication

The answer to your question is is 1. L for 1.68

write down all the prime numbers

Answers

Prime numbers 1-100 are- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

Answer:

The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

Step-by-step explanation:

also it goes on and on so i dont think you meant but i hope this helps if it dosnt m very sorry

If cost of 15 eggs is Rs. 75, then find out the cost of 4 dozens eggs.
a.₹ 185
b.₹ 150
c.₹ 300
d.₹ 240

Answers

Answer:

The answer is d 240. You will first find how much 1 egg costs then times 12 times 4 equal to 48 times how much 1 egg Costs equal to 240

what equations will give me this

Answers

Answer:

2[tex]n[/tex] = [tex]\alpha n[/tex] and [tex]n + n[/tex] = [tex]\alpha n[/tex]

Step-by-step explanation:

2). Barb bought 5 Great America tickets for
$150. If she bought 7 tickets, how much
would that cost?

Answers

Answer:

210

Step-by-step explanation:

divide 150 by 5 to get individual cost, multiply by 7 to get total cost

radical 54 simplified

Answers

3 sqrt (6) should be correct

What is the perimeter of a triangle whose sides are 3.8 cm. 4.7 cm and 5.6 cm!​

Answers

Answer:

Step-by-step explanation:

Easy, add up all the numbers. 3.8+4.7+5.6  which is 14.1!
Finding the area is the same thing, x*x, but dividing it all by two, (x*y)/2

Answer:

14.1 cm

Step-by-step explanation:

Perimeter : sum of the sides

3.8 + 4.7 + 5.68.5 + 5.6 14.1 cm

y=
\,\,x^2+4x-4
x
2
+4x−4
y=
y=
\,\,x-6
x−6

Answers

This is a bit are to read so I'm unable to solve

3M+4/3=28/3-M.find the m

Answers

Answer:

M = 2

Step-by-step explanation:

3M+4/3 = 28/3 -M

3M+M +4/3-28/3 = 0

4M -8 = 0

4M = 8 ( divide 4 in both sides)

M=8/4

M=2

What theorem can be used to prove that the two triangles are similar? A) SSS Similarity Theorem B) SAS Similarity Theorem C) SSA Similarity Theorem

Answers

Answer:

C) SSA Similarity Theorem

Step-by-step explanation:

The SAS Similarity Theorem asserts that if two sides of one triangle are proportionate to two sides of another triangle, and both triangles' included angles are congruent, the two triangles are similar.

HELP ASAP PLEASE, this is the last question i promise T^T
WILL MARK BRAINLIEST AND GIVE POINTS

find the perimeter of a circular sector if the diameter of its circle equals 10cm and its arc length = 10cm. equals = ......... cm.

a) 10
b) 20
c) 30
d) 40

an explanation for future reference would be greatly appreciated, thank youuu <33
​​

Answers

Answer:

A= 10

Step-by-step explanation:

[10 + 2/360˚(10)]

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