When the log (of the same base) is the outermost step on both sides of the equation, the logs ___.
1. are added
2. are divided
3. are subtracted
4. cancel out
5. are multiplied

Answers

Answer 1

Answer:

cancel out

Step-by-step explanation:


Related Questions

A fish starts at -8 m and jumps up 13 m, what is the fishes new elevation?

Answers

Answer:

the fish is now at 5 m

Step-by-step explanation:

13-8=5

the fish is at 5 meters

Solve for the value of x.

Answers

Step-by-step explanation:

9x-4+6x+4=180 ( being straight angle)

15x=180

x=180/15

x=12

I hope it help you

simplify the question​

Answers

Answer:

[tex] \frac{2}{x - 3} - \frac{12}{ {x}^{2} - 9} \\ = \frac{2}{x - 3} - \frac{12}{(x - 3)(x + 3)} \\ = \frac{2(x + 3) - 12}{( {x}^{2} - 9)} \\ = \frac{2x - 6}{( {x}^{2} - 9)} \\ = \frac{2(x - 3)}{(x - 3)(x + 3)} \\ = \frac{2}{x + 3} [/tex]

Can someone help me with this please

Answers

Answer:

where is the diagram?

Step-by-step explanation:

Zahra reads 45 words per minute. at this rate. how many minutes will it take for her to read 180 words

Answers

Answer:

4 minutes

Step-by-step explanation:

I will use ratios for this equation:

[tex]\frac{1}{45} =\frac{x}{180} \\\\45x=180\\x=4[/tex]

It will take Zahra 4 minutes to read 180 words because she reads 45 words PER minute.

Find the perimeter of triangle ABC with vertices A(–5, –2), B(–2, –2), and C(–5, 2).

Answers

Answer:

12 units

Step-by-step explanation:

the perimeter = AB+AC+BC=

3+4+5 = 12

Answer:

12 units

Step-by-step explanation:

AB = 3 units

BC = 5 units

CA = 4 units

Perimeter of triangle,

→ AB + BC + CA

→ 3 + 5 + 4

→ 12 units is the answer.

Johnny wants to buy a set of drums that cost $2000, it requires a 15% down payment. The remainder plus an additional finance charge is paid back on a monthly basis of 25 months. the monthly payment is $80. What is the finance charge.

Answers

Answer: The finance charge = $ 300

Step-by-step explanation:

Given: cost of drums = $ 2000

Down payment = 15% of 2000

= 0.15 x 2000

= $300

Total installments = (Number of months) x (Monthly charge)

= 25 x $ 80

= $ 2000

Finance charge  = Down payment + Total installments - cost of drums

= $ (300+2000-2000)

= $ 300

Hence, the finance charge = $ 300

Sasha borrows $100 at 12% simple interest, to be paid back in one year . How much does she pay back

Answers

Answer:

$289 I think

Step-by-step explanation:

$289 I think

sorry if I am wrong

(4x²y³ + 2xy² - 2y) - (-7x²y³ + 6xy² - 2y)

Answers

Answer:

Simplified it would be 11x^2y^2 - 4xy^

Answer:

11x²y³ - 4xy²

Step-by-step explanation:

is the answer if simplified.

(-1,11) reflected over the y axis
(-3,-9) reflected over the y axis
(2, -7 reflected over the y axis

Answers

Answer:

See explanation

Step-by-step explanation:

Reflecting over the y axis does not change the Y value. It multiplies the x value by -1.

So (-1,11) is (1,11)

And (-3,-9) would become (3,-9)

And (2,-7) would become (-2,-7)

A basketball tosses a ball to a teammate. The ball reaches a maximum height of 11 feet 3 seconds after it was released. If the ball is thrown from a height of 6 feet, write a quadratic equation that represents the height of the ball as a function of time

Answers

Answer:

h = - 16t² + 49.67t + 6

Step-by-step explanation:

The expression for the height of the basketball, h at time, t is given by

h - h₀ = u₀t - 1/2gt² where h₀ = initial height of ball = 6 feet, h = maximum height of ball = 11 feet, u₀ = initial vertical velocity of ball, t = time taken to reach maximum height = 3 s and g = acceleration due to gravity =9.8 m/s².

We need to find u₀ from u = u₀ -

So, h - h₀ = u₀t - 1/2gt²

h - h₀ + 1/2gt² = u₀t

u₀ = (h - h₀)/t + 1/2gt

substituting the values of the variables into the equation, we have

u₀ = (h - h₀)/t + 1/2gt

u₀ = (11 ft - 6 ft)/3s + 1/2 × 32 ft/s² × 3 s

u₀ = 5 ft/3s + 1/2 × 96 ft/s

u₀ = 1.67 ft/s + 48 ft/s

u₀ = 49.67 ft/s

Using h - h₀ = u₀t - 1/2gt² where h is the height of the basketball at time, t

h = u₀t - 1/2gt² + h₀

substituting the values of the variables into the equation, we have

h = u₀t - 1/2gt² + h₀

h = (49.67ft/s)t - 1/2(32 ft/s²)t² + 6 ft

h = 49.67t - 16t² + 6

h = - 16t² + 49.67t + 6

A backpack normally costs $25 but it is on scale for $16.25. What percentage is on discount? Please help, I have a test rn:((​

Answers

Answer: 16%

Step-by-step explanation:

$25 - $21 = $4

Percentage = 100[discount / (original price)] % = 100($4 / $25) % = 16%

What is 45 quarts= ___ cups​

Answers

Answer:

180

Step-by-step explanation: You could of looked it up I did

Darnell ran 550 yards in 3 minutes. At this rate, how many yards can he run in 6 minutes?​

Answers

Answer:

Darnell can run 1100 yards in 6 minutes

Step-by-step explanation:

There are 2 ways you can solve this

Method 1: You would have to divide 550 by 3 which you would get about 183, (the exact answer is very long so I recommend using a calculator). Then you multiply that by 6 to get 1100.

Method 2: This one would probably be easier. Since 3 x 2 is 6 then you can multiply 550 x 2 to get 1100.

I hope this helps!

Answer:

1100 yards

Step-by-step explanation:

Write it as an equation

550/3 = x/6

Cross multiply :

550 * 6 = 3x

3300 = 3x

x = 1100

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Which of these is NOT an example of flood control?

Group of answer choices

Building your house next to a river

Building a dam

Having levees in the ocean

Creating storm drains on a street




What can humans do to help stop beach erosion?
Group of answer choices

Beach restoration by pumping sand from the ocean

Stop visiting the beach

Rinse off when leaving the beach

Not allow animals to live on the beach

Answers

Answer:

For number one the answer is A and the second answer is A too.

Step-by-step explanation:

Answer: Building your house next to a river and Beach restoration by pumping sand from the ocean (While this does not prevent erosion, it can reduce storm damage to coastal development & infrastructure.)

Step-by-step explanation:

3m=5m-8/5...................................

Answers

Answer:

its m= 4/5

Step-by-step explanation:

Answer:

[tex]m = \frac{4}{5}[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

What does the m represent in the function? 2m +6

Help ​

Answers

Answer:

the variable

Step-by-step explanation:

m is the variable

Simplify √27x². I know the answer is 3x√3, but my teacher wants me to show how I solved it and i dont know how...please help.

Answers

Answer:

[tex]3\sqrt{3}x[/tex]

Step-by-step explanation:

Expand √27x² in such a way that it is the :-

Product of at either two or more perfect square numbers or,Product of two or more numbers out of which one (or more) is a perfect square number.

So ,

[tex]\sqrt{27x^2} = \sqrt{9 \times 3 \times x^2}= 3 \times \sqrt{3} \times x = 3\sqrt{3}x[/tex]

Taylor invested $2500 in an account that pays 3.7% interest compounded monthly. If Taylor does not touch the money, what will the balance of the account be after 7 years?

Answers

Answer:

hehe

Step-by-step explanation:

Please help I am confused explain your answer and brainliest

Answers

Answer:

Technically Andrew since his sum is technically "higher" than the rest of the negative numbers.

Answer:

Andrew

Step-by-step explanation:

Andrew since his sum is practically greater than the rest of the negative numbers.

Pls help.
Question above

Answers

What is this type of math called please and what year/grade if you don’t mind me asking so I can be prepared

Answer:

[tex]m = \frac{5}{2} [/tex]

Step-by-step explanation:

Here are the laws which would be used in this question:

Indices:

• [tex] \sqrt{a} = {a}^{ \frac{1}{2} } [/tex]

• [tex] \frac{1}{a} = {a}^{ - 1} [/tex]

Logarithm

• [tex] log_{a}( {x}^{n} ) = n log_{a}(x) [/tex]

[tex] log_{m}( \sqrt{2} ) + log_{m}(8) + log_{m}( \frac{1}{2} ) [/tex]

[tex] = log_{m}( {2}^{ \frac{1}{2} } ) + log_{m}( {2}^{3} ) + log_{m}( {2}^{ - 1} ) [/tex]

[tex] = \frac{1}{2} log_{m}(2) + 3 log_{m}(2) - log_{m}(2) [/tex]

[tex] = \frac{5}{2} log_{m}(2) [/tex]

please help!! choices for for the first one is $5, $15, $10, $20

Answers

Answer:

5, 240

Step-by-step explanation:

Drag the sliders.
Shape A
Shape B
Which slider creates scale copies of the shape?
Choose 1 answer:
Slider for Shape A
Slider for Shape B

Answers

I think the answer is A

if anyone could just look at my recent question pls its super easy its just simplyfing

Answers

Answer: K

Step-by-step explanation:

Ill do it

what is 6 copies of 1/8

Answers

Answer:

6/8     or  1/8       1/8        1/8         1/8             1/8             1/8    

Step-by-step explanation:

6/8 simplified is 6/2=3 8/2=4 so it is 3/4

Find the side length x

Answers

Answer:

x = 10

Step-by-step explanation:

8² + 6² = x²

64 + 36 = x

64 + 36 = 100

√100 = 10

[tex]\huge\bold{To\:find:}[/tex]

The length of the hypotenuse ''[tex]x[/tex]".

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"x"\:is\:10.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex] ( {hypotenuse})^{2} = ( {perpendicular})^{2} + ( {base})^{2} \\ ⇢ {x}^{2} = {6}^{2} + {8}^{2} \\ ⇢ {x}^{2} = 36 + 64 \\ ⇢ {x}^{2} = 100 \\ ⇢ x = \sqrt{100} \\ ⇢x = \sqrt{10 \times 10} \\ ⇢x = \sqrt{ ({10})^{2} } \\ ⇢x = 10[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:10.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex] {x}^{2} = {6}^{2} + {8}^{2} \\⇝ ({10})^{2} = 36 + 64 \\ ⇝10 \times 10 = 100 \\ ⇝100 = 100 \\ ⇝L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

PLS HELP
What is the value of x ?

A. 42

B. 43

C. 84

D. 86

Answers

The value of X would have to be A-42

Answer:

B

Step-by-step explanation:

x+x+94 = 180 (sum of angle of triangle)

2x+94 = 180

2x = 180-94

2x = 86

x = 86÷2

Therefore x = 43

Solve.
3x+4y=−15

2x−2y=−3

Answers

The solution is (-3,-3/2)
point form: (-3, -3/2)

equation form: x=-3, y=-3/2

let me know if you need the work!

if there are 24 tires, how many cars are there?

Answers

Answer:

each car have 4 tires, so 24/4=6

there are 6 cars

There are 6 car every car has 4 tires so if you devided 24/4 is 6

AABC is a right triangle. AB=____

Answers

Since ABC is a right triangle, we can use Pythagorean Theorem to solve for side AB.

Pythagorean Theorem: a^2 + b^2 = c^2

4^2 + 7^2 = c^2

16 + 49 = c^2

65 = c^2

c = 8.06

Hope this helps!! :)

Answer:

8.06

Step-by-step explanation:

Well the formula for this is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

The sides given are called the opposite and the adjacent, which, in this formula correspond to a and b. What you are trying to find is called the hypotenuse, and in this formula, c.

First you need to square a and b, like in the formula:

[tex]4^{2}[/tex] = 16

[tex]7^{2}[/tex] = 49

Now you add these together to find [tex]c^{2}[/tex]:

16 + 49 = 65

So [tex]c^{2}[/tex] is 65, and to find c you need to square root that:

[tex]\sqrt{65}[/tex] = 8.0622577...

So its approximately 8, and more accurately 8.06

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