if f(x) = log3x then f(3) = __ and f(27) = __

Answers

Answer 1

Answer:

f(3)=log9 and f(27)=log81


Related Questions

Write each phrase as an algebraic expression.
16 seconds faster than Aya’s time.

Answers

Aya’s time + 16 seconds
X+16

help me guys...:(
prove that 0!=1

Answers

Answer:

0 + 1=0

hope this helps

have a good day :)

Step-by-step explanation:

Proper angle for a ladder is about 75° from the ground. Suppose you have a 10 foot ladder. How far from the house should you place the base of the latter? Round to the nearest hundredth

Answers

Answer:

The base of the ladder is 2.58 m.

Step-by-step explanation:

Given that,

The angle of elevation for a ladder from the ground is 75°.

The length of a ladder, H = 10 foot

We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,

[tex]\cos\theta=\dfrac{B}{H}\\\\B=H\times \cos\theta\\\\B=10\times \cos(75)\\\\B=2.58\ m[/tex]

So, the base of the ladder is 2.58 m.

What is the length of the radius of a circle whose circumference is 125.6 feet? Use 3.14 for Pi.

Answers

Answer:

Hello! answer: 20

Step-by-step explanation:

circumference is just diameter × pi so If we do circumference ÷ pi we will get our diameter so

125.6 ÷ 3.14 = 40 But remember diameter is just twice the radius so all we have to do is divide by 2 to get our radius so

40 ÷ 2 = 20 So 20 is the radius Hope this helps!

Answer:

the answer is 20 feet

Step-by-step explanation:

divide the circumference by 3.14 gives you the diameter then divide the diameter by 2 to get the radius.

Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12 years, how much interest will he earn?

Answers

Answer: $2184

Step-by-step explanation:

(6800)(0.028)(12) = 2184

Find the value of x that makes the equation true

Answers

Answer:

9

Step-by-step explanation:

12/9=1.33 repeating and 8/6=1.33 repeating

Hopes this helps:

Answer: x = 9

Have a great day.

find the solution of the simultaneous equation 4c-5d=21 6c+7d=-12​

Answers

Answer:

In the second part of the equation, there is a space between 21 and 6c, is there supposed to be a function there?

Step-by-step explanation:

Can someone please help me like fast??

Answers

answer:125.03
Explanation: The rounded side of the numeral expands to the width of the line causing-

I need some help!! I will try to give brainliest!!!

Answers

Answer:

x = 35

y = 95

Step-by-step explanation:

(For y) The measure of a line is 180 degress. 180 - 95 - 50 = 35.

(For x) The measure of a triangle is 180 degress. 180 - 50 - 35 = 95.

Answer:

x = 85, y = 45

Step-by-step explanation:

solving for x:

180 - 95 = 85

solving for y:

85 + 50 = 135

180 - 135 = 45

Good luck on your schoolwork

! + 3 − 5 = 0; by completing the square

Answers

Answer:

x = 1.19258 and x = −4.19258

Step-by-step explanation:

The given equation is :

[tex]x^2+3x-5=0[/tex]

Keep x terms on the left and move  the constant to the right side  by adding it on both sides.

[tex]x^2+3x=5[/tex]

Take half of the x term and square it.

[tex](3\times \dfrac{1}{2})^2=\dfrac{9}{4}[/tex]

then add the result to both sides

[tex]x^2+3x+\dfrac{9}{4}=5+\dfrac{9}{4}\\\\(x+\dfrac{3}{2})^2=\dfrac{29}{4}\\\\(x+\dfrac{3}{2})=\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}+\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}-\sqrt{\dfrac{29}{4}}[/tex]

So,

x = 1.19258 and x = −4.19258

Hence, this is the required solution.

Which value for x makes the sentence true?

Answers

Answer:

[tex] {\huge{\boxed{\underbrace{\pink{here \: is \: your \: solutio}}}}} \\ \\ {\huge{\boxed{\mathcal{\green{0.58x = 2.3316}}}}} \\ \\ {\huge{\boxed{\mathcal{\green{x = 2.3316 \div 0.58 }}}}} \\ \\ {\huge{\boxed{\mathcal{\green{x = 4.02}}}}} \\ \\ \huge\mathfrak\blue{ Hope \: it \: helps...}[/tex]

A restaurant owner wanted to know how often the customers in her restaurant eat out. Which sample will give her the most reliable results?


A. first 50 customers that come into the restaurant on Monday


B. every 10th customer that comes into the restaurant on a weekend


C. 50 male customers arriving at different times 2 days in a row


D. 100 customers arriving at different times, on different days during the week

Answers

Answer:

d should be correct, I hope this helps!

Step-by-step explanation:

:D

Answer:

c

Step-by-step explanation:

Which expressions are equivalent to - f - 502f - 3)?

Answers

Answer:

?

Step-by-step explanation:

What grade is this for?

Solve
5.27*0.01(2.1)

Answers

Answer:

the answer is 0.11067

Step-by-step explanation:

Part A: explain why x coordinates of the points where the graphs of the equations y=4^x and y=2^(x-1) intersect are the solutions of the equation 4^x=2^(x-1). Part B: Make tables to find the solution to 4^x=2^(x-1). Take the integer values of x between -4 and 4. Part C: How can you solve the equation 4^x=2^(x-1) graphically?

Answers

9514 1404 393

Explanation:

A. The given equation will have a solution when the value of x makes the left-side expression equal to the right-side expression.

The value of the left-side expression for a given value of x is the y-value of y=4^x. The value of the right-side expression for a given value of x is the y-value of y=2^(x-1). The left-side expression will be equal to the right-side expression for a given value of x when the graph of y=4^x and the graph of y=2^(x-1) have the same y-value. That is, the graphs will be of the same point for that x-value. That is what we mean when we say the curves will intersect at that point.

The x-coordinate of the point of intersection is the value that makes the expressions equal, hence it is the solution to the equation.

__

B. The tables are included in the first attachment. We have used f(x) to represent the left-side expression, and g(x) to represent the right-side expression.

__

C. As described in Part A, the graphs will cross at the solution point. Hence the equation can be solved graphically by graphing the left-side expression and the right-side expression and seeing where the graphs cross. (That is at the point (-1, 0.25) on the attached graph.)

Alternate graphical method

The solution can also be found graphically by graphing the difference of the expressions: y = 4^x -2^(x-1). This difference will be zero at the value of x that makes the two expressions equal. That is, the x-intercept of the graph of this difference will be the solution value. The second attachment shows this sort of graphical solution. (It works nicely because many graphing calculators will display the value of the x-intercept.)

A plot of land is 5,824 square feet. It is divided into 4 equal sections.

Answers

Answer:

1456!!!!!!!!!!!!!!!

Step-by-step explanation:

5824 ÷ 4 = 1456

Answer: 1,456!

Step-by-step explanation: divide  5,824 ÷ 4 = 1456

There are 12 paintings at an art show. Three of them are chosen randomly to
display in the gallery window. The order in which they are chosen does not
matter. How many ways are there to choose the paintings?

Answers

Answer:

220

Step-by-step explanation: a p e x

There are 220 ways to choose the paintings.

What is combination in mathematics?

"Combination  determines the number of possible arrangements in a collection of items where the order of the selection does not matter."

Formula for combination:

[tex]^{n}C_r=\frac{n!}{r!(n-r)!}[/tex]

For given example,

There are 12 paintings at an art show.

⇒ n = 12

Three of them are chosen randomly to display in the gallery window.

⇒ r = 3

So, using the formula for combination, the number of possible ways to choose the paintings would be,

[tex]\Rightarrow~ ^{n}C_r=\frac{n!}{r!(n-r)!}\\\\\Rightarrow~ ^{12}C_3=\frac{12!}{3!(12-3)!}\\\\\Rightarrow~ ^{12}C_3=\frac{12!}{3!\times 9!}\\\\\Rightarrow~^{12}C_3=220[/tex]

Therefore, there are 220 ways to choose the paintings.

Learn more about combination here:

https://brainly.com/question/13387529

#SPJ2

please help me i really need help please help me please i really need help please help me please

Answers

Answer:2.

Step-by-step explanation:

trust me on this one

Six less than the product of a number n and 1/5 is no more than 99

Answers

Answer:

(n * ⅕) - 6 ≤ 99

Step-by-step explanation:

Translating the word problem into an algebraic expression, we have;

(n * ⅕) - 6 ≤ 99

Opening the bracket, we have;

n/5 - 6 ≤ 99

Rearranging the equation, we have;

n/5 ≤ 99 + 6

n/5 ≤ 105

Multiplying both sides by 5, we have;

5 * n/5 ≤ 105 * 5

n ≤ 525

If each cube in the rectangular prism measures 1 cubic foot, what is the volume of the prism?


A.
8 cubic ft
B.
6 cubic ft
C.
11 cubic ft
D.
7 cubic ft

Answers

Answer:

6 cubic feet

Step-by-step explanation:

Since each cube represents 1 cubic foot

volume of the prism = number of cubes * volume of 1 cube

Given

number of cubes = 6

volume of 1 cube = 1cubic foot

Substitute

volume of the prism = 6 * 1

volume of the prism = 6 cubic feet

Can anyone give me some advices for my sis cause she is going to high school soon and I'm worried- even tho she is older then me, she is Autism and ofc I'm worried-​

Answers

Don't worry I'm sure there'll be great people that would love to be friends with her!, you can also try to call everyday after she finishes her classes^^

Step-by-step explanation:

Advice;

Talk to her, let her know of the things she could be facing, yes we can give her as much advice as needed but it won't stop her from facing other rude teenagers.If she has a temper you guys should come up w coping mechanisms to use during school when she'll be alone. It's good practice to growing up.Ask for a tour around the school, it'll help her be more aware of her surroundings when she starts to attend.If she's nervous about entering a whole different nd new place it's fine, assure her it's going to be okay it'll just be a little adjustment.

Advice for you; ( I know it wasn't asked of )

Calm down. Don't stress, I mean I know you're gonna, she's your sister but worrying about her is just gonna be a whole other problem you don't need. She's fine, she'll be fine, you don't want her to see you worry nd make her feel the same way, right?

Alright, hope this was helpful! Need a little more insight? Feel free to ask.

i don’t need any work for it i just need the answer

Answers

The Answer would be 864mm^2

the expression x + 16 divided by 2 is an example of an _____ please help :(

Answers

Answer:

rational number.................

pls help me with this ​

Answers

Answer:

I think your answer should be A.

Step-by-step explanation:

Plz mark brainliest

Answer:

it is C youre right!

Step-by-step explanation:

Show that the sum of two irrational numbers can be rational ​

Answers

Answer:

Hint: We will have to know about the rational numbers and irrational numbers. ... So, the sum of the given two irrational numbers is equal to 6 which is a rational number in the form of p/q where p=6 and q=1 both are integers. Therefore, it is proved that the sum of the two given irrational numbers is a rational number.

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

Find the value of x. DO NOT POST ANY FILES.

Answers

Answer:

9

Step-by-step explanation:

12^2+x^2=(x+6)^2

144+x^2=x^2+12x+36

12x=108

x=9

Raj has a 25m by 15m rectangular lawn. He mows a strip of uniform width and leaves
a patch of lawn that is 60% of the original area.
What is the width of the strip? (to one decimal place)

FULL WORK PLEASE

Answers

Here is the answer and explaining how i did it

To start planning the rooms' floor plans, you draw them each to scale on large sheets of paper. You are going to use the scale 1 foot: 2 inches. That is, 1 foot in real life will be represented by 2 inches on your paper. How many square inches of paper do you need for the bedroom? Enter just the number in the blank below.

Answers

Answer:

(/480/) is the answer I just took the test

Step-by-step explanation:

The number of square inches of papar we need for the bedroom is 480.

How are scale drawings formed?

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

For this case, the scale drawing is converting

1 foot (of real world) : 2 inches (on drawing paper).

Thus, 1 sq. ft area = 2^2 = 4 sq. inch area on paper. (we squared 2, since the square whose sides are 1 ft in real world, will haves sides of 2 inches in drawing, so a side of 2 inches sq. has 4 sq. inch area.)

The area of the floor is 120 sq. ft (some parts are missing in the question statement).

So, as 1 sq. ft : 4 sq. inches on paper,

thus, 120 sq. ft : 120 × 4 = 480 sq. inches area on paper.

Thus, to draw the whole bedroom (which is based on the floor), we need at least 480 sq. inches of paper.

Learn more about scale factors here :

https://brainly.com/question/8765466

hey akaspratt since I didn’t give you brainliest would you like To answer This question what’s The absolute value of -14

Answers

Answer:

14

Step-by-step explanation:

Absoloute value means the distance from 0, so the distance of -14 from 0 is 14

Answer:

absolute value:14

pls help it would be appreciated ​

Answers

Given:

Point D is the midpoint of line segment CE.

To find:

The correct statement from the given options.

Solution:

It is given that the point D is the midpoint of line segment CE. It means point D bisects the line segment CE.

In other words, point D divides the line segment CE into two congruent or equal parts.

[tex]\overline{CD}\cong \overline{DE}[/tex]

Therefore, the correct option is C.

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