Which of the following is equivalent to the expression below?
log_6^36+log_6^216

Answers

Answer 1

Step-by-step explanation:

log_6^36+log_6^216

= log_6^ (36 × 216)

= log_6^ (6² × 6³)

= log_6^ (6^5)

= 5


Related Questions

A boy is twice as old as his sister who is x years old now. In 2 years, the boy will be

Answers

Answer and Step-by-step explanation:

2x + 2 is the answer.

If the boy is twice as old, and the sister's age is represented by x, then we multiply 2 to x to represent the boy's age.

Then we add 2 when 2 years pass by.

#teamtrees #PAW (Plant And Water)

Help please, my 2nd time asking this question.

Answers

(1 / 4) + (1 / 2)

= (1 / 4) + {(1 × 2) / (2 × 2)}

= (1 / 4) + (2 / 4)

= 1 + (2 / 4)

= 3 / 4

(1 / 2) + (3 / 8)

= {(1 × 4) / (2 × 4)} + 3 / 2

= (4 / 8) + (3 / 8)

= (4 + 3) / 8

= 7/8

Answer:

#3 is [tex]\frac{3}{4}[/tex]    #4 is [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

you must find a common denominator in both problems.

For #3 the common denominator is 4 so you would multiply [tex]\frac{1}{2}[/tex] by [tex]\frac{2}{2}[/tex] to get [tex]\frac{2}{4}[/tex] then add the numerators together to get 3 and the denominator stays 4.

[tex]\frac{1}{4} + \frac{2}{4} = \frac{3}{4}[/tex]

For #4 the common denominator is 8 so you would multiply [tex]\frac{1}{2}[/tex] by [tex]\frac{4}{4}[/tex] to get [tex]\frac{4}{8}[/tex]

then add the numerators together to get 7 and denominator stays 8.

[tex]\frac{4}{8} + \frac{3}{8} = \frac{7}{8}[/tex]

Need answer fasttt
Find the volume of a pyramid with a square base, where the side length of the base is
11.5 in and the height of the pyramid is 6.7 in. Round your answer to the nearest
tenth of a cubic inch.

Answers

Answer:

295.4 [tex]in^3[/tex]

Step-by-step explanation:

[tex]V=\frac{1}{3}(b)^2(h)\\\\ =\frac{1}{3} (11.5)^2(6.7)\\\\=\frac{1}{3}(135.25)(6.7)\\\\[/tex]

= 295.358

≈ 295.4

what is the degree of polynomial x^2y^2+y^3+4?

Answers

Answer:

The degree of the polynomial ≈ 4

Step-by-step explanation:

The degree of a polynomial, is given by the highest value of the sum of the exponents (powers) of the of the variables (monomials) that are present in the polynomial expression

The given polynomial expression is x²·y² + y³ + 4

The sum of the exponents; 2 + 2 = 4, and 3

The sum of exponents 4 > 3

Therefore, the degree of the polynomial = 4.

What would be your first step in solving for x in this problem. Please EXPLAIN in words?

Answers

Answer:

Step-by-step explanation: distribute the 1.5 and the 2

Answer:

hey you need to multiple the number behind the parentheses by the number into the parentheses, like 1.5×2x

the you put Xs on the left side of the = and the numbers on the right side

then you do the sentence and at the end you got the amount for x :)

In which number does the digit 9 have a value that is ten times greater than the value of the digit 9 in the number 593,104? 95,378 529,092 691,525 922,198

Answers

Answer: (d)

Step-by-step explanation:

Given

The digit 9 in the number 593,104 is at the ten-thousandths place and the value which is 10 times its value must be at lakh place.

Matching with highest place values in the option

(a) Ten-thousand place

(b) Thousand place

(c) Ten-thousand place

(d) lakh Place

Therefore, (d) is the correct option.

HELP ME PLEASE!
What is the probability that the card drawn is a face card or a club?

Answers

Answer:

52

52

is the correct answer the probability that card drawn is a faace card

Answer:

the probability of a drawing club is 13/52.

The probability of drawing a face card is 12/52.

Step-by-step explanation:

hope it's helpful

How many moles are in 30.0g of N2

Answers

Answer:1.0709

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

To be very accurate 1.1

A.)90
B.)80
C.)56
D.)24

Answers

Answer:

your answer is C

Help With the answer Please
??????

Answers

Answer:

not sure

Step-by-step explanation:

Answer:

b) FIGURE A AND FIGURE B

Step-by-step explanation:

figure c has

all the sides equal so its not a rectangle

What expression would be easier to simplify if you use the associative property to change the grouping?

A.[(-0.2)+(-0.6)]+1.7
B.(2+5/2)+(-1/2)
C.(60+40)+(-27)
D.6+[4/9+(-2/9)]

Answers

Answer:

B

Step-by-step explanation:

2+5/2 is hard to add since first you have to make 2 into a fraction with the denominator 2. If you use the associative property, you can just easily combine -1/2 and 5/2 without any converting into fractions

I really need help❤️

Answers

Answer:

about (-3,1.5)

Step-by-step explanation:

Hope this helps!

What is the surface area of the cylinder if the height is 11in and the radius is 4in?

Answers

Answer:

Around 376.99

Step-by-step explanation:

the formula is 2πrh+2πr²

so if we plug in everything we get 2π(4)(11)+2π(4)²

When we simplify that, we would get 376.99

The area of a rectangle is (x^3 - 5x^2 + 3x - 15), and the width of the rectangle is (X2 + 3). If area = length x width, what
is the length of the rectangle?

Answers

Given:

Area of a rectangle = [tex]x^3-5x^2+3x-15[/tex]

Width of rectangle = [tex]x^2+3[/tex]

To find:

The length of the rectangle.

Solution:

The area of a rectangle is:

[tex]A=l\times w[/tex]

Where, l is length and w is the width.

It is can be written as:

[tex]\dfrac{A}{w}=l[/tex]

[tex]l=\dfrac{A}{w}[/tex]

Putting [tex]A=x^3-5x^2+3x-15[/tex] and [tex]w=x^2+3[/tex], we get

[tex]l=\dfrac{x^3-5x^2+3x-15}{x^2+3}[/tex]

[tex]l=\dfrac{x^2(x-5)+3(x-5)}{x^2+3}[/tex]

[tex]l=\dfrac{(x^2+3)(x-5)}{x^2+3}[/tex]

[tex]l=x-5[/tex]

Therefore, the length of the rectangle is [tex]x-5[/tex].

If any one could please help

Answers

Answer:

I believe it’s the 3rd option but I’m not completely confident

Step-by-step explanation:

who am I kidding I’m never confident lol

The answer is 3 I believe

Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.

Answers

Answer:

See explanation for matching pairs

Step-by-step explanation:

Equations

(1)

[tex]x - y = 25[/tex]

[tex]2x + 3y = 180[/tex]  

(2)

[tex]2x - 3y = -5[/tex]

[tex]11x + y = 550[/tex]  

(3)

[tex]x - y = 19[/tex]

[tex]-12x + y = 168[/tex]

Solutions

[tex](-17,-36)[/tex]

[tex](47, 33)[/tex]

[tex](51, 26)[/tex]

Required

Match equations with solutions

(1) [tex]x - y = 25[/tex] and [tex]2x + 3y = 180[/tex]

Make x the subject in: [tex]x - y = 25[/tex]

[tex]x = 25 + y[/tex]

Substitute [tex]x = 25 + y[/tex] in [tex]2x + 3y = 180[/tex]

[tex]2(25 + y) + 3y = 180[/tex]

[tex]50 + 2y + 3y = 180[/tex]

[tex]50 + 5y = 180[/tex]

Collect like terms

[tex]5y = 180-50[/tex]

[tex]5y = 130[/tex]

Solve for y

[tex]y =26[/tex]

Recall that: [tex]x = 25 + y[/tex]

[tex]x = 25 + 26[/tex]

[tex]x = 51[/tex]

So:

[tex](x,y) = (51,26)[/tex]

(2)  [tex]2x - 3y = -5[/tex] and [tex]11x + y = 550[/tex]

Make y the subject in [tex]11x + y = 550[/tex]

[tex]y = 550 - 11x[/tex]

Substitute [tex]y = 550 - 11x[/tex] in [tex]2x - 3y = -5[/tex]

[tex]2x - 3(550 - 11x) = -5[/tex]

[tex]2x - 1650 + 33x = -5[/tex]

Collect like terms

[tex]2x + 33x = -5+1650[/tex]

[tex]35x = 1645[/tex]

Solve for x

[tex]x = 47[/tex]

Solve for y in [tex]y = 550 - 11x[/tex]

[tex]y = 550 - 11 * 47[/tex]

[tex]y = 550 - 517[/tex]

[tex]y = 33[/tex]

So:

[tex](x,y) = (47,33)[/tex]

(3)

[tex]x - y = 19[/tex]  and [tex]-12x + y = 168[/tex]

Make y the subject in [tex]-12x + y = 168[/tex]

[tex]y = 168 + 12x[/tex]

Substitute [tex]y = 168 + 12x[/tex] in [tex]x - y = 19[/tex]

[tex]x - 168 - 12x = 19[/tex]

Collect like terms

[tex]x -12x = 168 + 19[/tex]

[tex]-11x = 187[/tex]

Solve for x

[tex]x = -17[/tex]

Solve for y in [tex]y = 168 + 12x[/tex]

[tex]y =168-12 *17[/tex]

[tex]y =-36[/tex]

So:

[tex](x,y) = (-17,-36)[/tex]

please help ty !!! :)​

Answers

Answer: $9,240

Step-by-step explanation:

If the car was sold at 40% off,

That is 40/100=0.4

selling price=$6600

So, 40% of $6600= 0.4*$6600=$2640

this means that the seller deducted this amount from his cost price to sell it to you.

Therefore,original price he bought will be a sum of both,that is

the amount he sold to you + the amount he deducted =$6600+$2640=$9,240.

Therefore the original price is $9,240

hope it’s correct !

Answer:

Answer :-

(40/100) × X = 6600

X = (6600×100)/40

X = 16500$

Hope it helped :)

Please help kitty(
<3

Answers

Answer:

A. increasing curve

Step-by-step explanation:

exponential equations always have a curve, so you know it has to be the one about a curve.

What is the y-intercept of 4(0.6)^x

Answers

Answer:

4

Step-by-step explanation:

The y-intercept is where x = 0

y = 4(0.6)^0

y = 4(1)

y = 4

There were 8 fewer boys than girls in Mr. Taylor’s Algebra class. If he had 40 pupils, how many were girls?

Answers

Answer:

There are 24 girls in the class.

Step-by-step explanation:

Write out the problem like this:

40 = (g-8)+(g)

40 is the total amount of students. (g) is the unknown number of girls in the class, and (g-8) is the amount of boys since there are 8 fewer boys than girls.

First, eliminate the parentheses.

40 = g - 8 + g

Next, combine like terms. Both g's are positive, to we get 2g

40 = g - 8 + g

40 = 2g - 8

Then, add 8 to both sides of the equation, because the 8 that was already present is negative and needs to be canceled out.

40 + 8 = 2g - 8 + 8

48 = 2g

Lastly, divide both sides by 2, so that the (g) is by itself.

40/2 = 24, 2g/2 = g

g=24

This can be tested as the correct answer by subtracting 8 from 24 to count the boys...

24 - 8 = 16

...and adding the two amounts together to get the total amount of students.

24 + 16 = 40

There are 24 girls in the class.

Expand and simplify (x - 2)(x - 1)

Answers

Answer:

x^2 -3x+2

Step-by-step explanation:

(x - 2)(x - 1)

FOIL

first: x*x = x^2

outer: -1*x = -x

inner: -2*x =-2x

Last: -2*-1 =2

Add together

x^2 -x-2x+2

Combine like terms

x^2 -3x+2

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{(x - 2)(x - 1)}[/tex]

[tex]\large\textsf{DISTRIBUTE}[/tex]

[tex]\large\textsf{x(x) + x(-1) - 2(x) -2(-1)}[/tex]

[tex]\large\textsf{x(x) = }\mathsf{\bf x^2}[/tex]

[tex]\large\textsf{x(-1) = -1(x) = \bf -1x}[/tex]

[tex]\large\textsf{-2(x) = \bf -2x}[/tex]

[tex]\large\textsf{-2(-1) = \bf 2}[/tex]

[tex]\mathsf{= \bf x^2 - 1x - 2x + 2}[/tex]

[tex]\large\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\mathsf{(-1x - 2x)}[/tex]

[tex]\mathsf{= \bf -3x}[/tex]

[tex]\large\textsf{SOLVE for the ANSWER:}[/tex]

[tex]\mathsf{x^2 - 3x + 2}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: }\mathsf{\bf x^2 - 3x + 2}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Solve.
5. The graph of f(x)= x is reflected across the x-axis. The graph is then
translated 11 units up and 7 units to the left. Write the equation of the
transformed function.

Answers

Given:

The function is:

[tex]f(x)=x[/tex]

The graph of this function reflected across the x-axis. The graph is then  translated 11 units up and 7 units to the left.

To find:

The equation of the transformed function.

Solution:

The translation is defined as

[tex]g(x)=kf(x+a)+b[/tex]                .... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If k<0, then the graph is reflected across the x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The graph of this function reflected across the x-axis. The graph is then  translated 11 units up and 7 units to the left.  So, [tex]k=-1, b=11, a=7[/tex]. Putting these value in (i), we get

[tex]g(x)=(-1)f(x+7)+11[/tex]

[tex]g(x)=-(x+7)+11[/tex]                     [tex][\because f(x)=x][/tex]

[tex]g(x)=-x-7+11[/tex]

[tex]g(x)=-x+4[/tex]

Therefore, the required function is [tex]g(x)=-x+4[/tex].

Below is a list of numbers. Use them to answer question 3.
2, 19, 31, 43, 59, 67
Question 3*
What type of numbers are shown?
A
B.
C.
composite numbers
even numbers
odd numbers
prime numbers
D.

Answers

Answer:

prime numbers

Step-by-step explanation:

not composite since,example, 2 is prime

not even since,example, 19 is odd

not odd since,example, 2 is even

Answer:

the answer is

prime numbers.

solve m-13=8 please help me

Answers

Answer: 5

Step-by-step explanation:

13-8=5

5-13=8

what is the correct answer​

Answers

Answer:

the answer is D

Step-by-step explanation:

from :

Tan(60) = x/4 then X = Tan(60) × 4

X = 4×√3

How much would $500 invested at 6% interest compounded monthly be
worth after 5 years? Round your answer to the nearest cent.
int
A09) P(124
A. $512.63
B. $669.11
C. $674.43
D. $886.41

Answers

Answer:

$669

Step-by-step explanation:

Given data

Principal= $500

Rate= 6%

Time= 5 years

The compound interest formula is given as

A= P(1+r)^t

A=500(1+0.06)^5

A=500(1.06)^5

A=500*1.338

A=$669

Help me please!!!!!!!!!!!!!

Answers

Answer:

The answer is 70 ways.

Step-by-step explanation:

8C4 = 70.

40320/576 is equal to 70.

the number 32747 written to 4 significant figure is​

Answers

Answer: 3275

Step-by-step explanation:

Yesterday, 37% of the drivers for Quinn's Taxi Service worked. At Bella's Taxi Express, 3 out of 10 drivers worked. Which taxi service had a greater percentage of its drivers working?

Answers

Answer:

Quinn's Taxi Service

Step-by-step explanation:

a) Yesterday, 37% of the drivers for Quinn's Taxi Service worked.

Hence, the percentage for Quinn's Taxi Service drivers that are working is 37%

b) At Bella's Taxi Express, 3 out of 10 drivers worked.

The percentage for Bella's Taxi drivers that are working is calculated as:

3/10 × 100

= 30%

Therefore, the taxi service that had a greater percentage of its drivers working is Quinn's Taxi Service with a high percentage of 37%

Express 0.0003754 in scientific notation

Answers

Answer:

Scientific Notation: 3754 × [tex]10^{-4}[/tex]

Step-by-step explanation:

Have a great summer :)

Answer:

3.754 • 10^-4

Step-by-step explanation:

Put decimal point back until in front of a whole number( not zero ;D). So it would be 3.754 and since it was going left or backwards the exponent would be negative. Therefore, giving our answer!

Hope this helped, good luck! :)

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