Rewrite 4x = 64 as a logarithmic equation.

Answers

Answer 1

Answer:

[tex]log_{4}[/tex] (64)=x

Step-by-step explanation:

Answer 2

The logarithmic form of the equation Log₄( 64 ) = x.

What is a logarithm?

The logarithm of a number is the power or index, a certain base will be raised to give that number.

Analysis:

4 is the base, x is the index and 64 is the number. so the logarithm of 64 to base 4 is 3 which can be written as ㏒ = x

in conclusion, the equation 4x can be written in a logarithmic form as  

=  Log₄( 64 ) = x.

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Related Questions

please help me fast and show all your work please thx ​

Answers

Answer:

636 m squared

Step-by-step explanation:

use the formula of rect. prism. ;)

2(L(h+w) + h+w)

a taxi cab charges a flat fee of $2.00, plus $0.25 for every mile driven. If the fare comes to $7.75, what equation could be used to determine how many miles the taxi drove?

Answers

Answer:

7.75 = .25x + 2

Step-by-step explanation:

The set of all numbers greater than −10 and less than −3.

Answers

Answer:

{-9,-8,-7,-6,-5,-4} [ List method ]

or

{x: x ε Z where x>-10 and x<-3}      [Set builder form]

Step-by-step explanation:

Z represents Integer

The numbers are -9,-8,-7,-6,-5,-4. [ list method ]

The set of all numbers greater than -10 and less than -3 are represented in set-builder notation as {x: x ∈ Z⁻, -10 < x < -3} and the set of numbers are

How to write the set-builder notation for a given data?

The set notation consists of symbols like ': - such that', ' - belongs to', ' <, >, ≤, ≥', and all these are enclosed in flower braces. The Capital letter that is used in this represents the category or the set to which the given values are related. A variable is used for representing the given set of data values.

Writing the set-builder notation for the given values:

It is given the set of numbers that are greater than -10 and less than -3.

Since they are negative integers, so all the required numbers also belong to the same category of numbers.

So, it is represented by Z⁻

Then, the set builder notation is

{x: x ∈ Z⁻, -10 < x < -3} and

The set is {-9, -8, -7, -6, -5, -4}

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I will give you all five stars ⭐⭐⭐⭐⭐

Answers

Answer:

<E=<A

Step-by-step explanation:

i think you have the right answer

Yu have the right one

help me find the interquartile range please

Answers

Answer:

18

Step-by-step explanation:

Interquartile Range = Q3-Q1

First step is to order the data values from least to greatest. Next step is to find the median, the median of this data set is 36.5, then you find the Q1 and Q3, Q1 is the lowest middle of the data set, like the lowest median of the data set. The Q1 is 26. Then you find the Q3, the Q3 is the highest median of the data set. The Q3 is 44.

Now you subtract the Q3 and the Q1,

44-26=18

18 is the interquartile range.

Rodney spun this five section spinner 80 times. The results of his spins are listed in the table below.



Identify the sample space using the first letter of the color in alphabetical order

{ , , , , }.



What is the theoretical probability for landing on blue?
%



What is the experimental probability for landing on yellow or white?
%

Answers

Answer:

Sample space: {B, G, R, W, Y}

20%

40%

Step-by-step explanation:

Theoretical probability of blue:

1/5 × 100 = 20%

Experimental probability (based on observation) of yellow or white:

(20+12)/80 × 100

32/80 × 100

40%

The point (5, -2) is rotated 90° about the origin. Its image is

(-2, 5)
(2, 5)
(-5, 2)

Answers

Answer:

(2,5)

Step-by-step explanation:

The rule to 90 degrees about the origin is (x,y) to (-y,x). You basically switch the values of y and x but remember the value of y is negative. The value of y is -2 so -2 is now 2 since the rule changed the sign (-2×-y=2) and 5 isnt affected except it is the x value. Just know that since they r switched, x is now 2 and y is 5 when rotated 90 degrees about the origin.

Answer:

(2,5)

Step-by-step explanation:

Harold collected data on the daily high temperature in two cities over a period of one week.
He analyzed the data and found the measures below. Which statement is true, based on
these measures?
City Median Temperature Range from Median
Carlton
75°F
5 degrees
Borden
88°F
5 degrees
The daily low temperatures for the two cities were 70°F and 83°F.
Borden had at least one daily high temperature of 98°F.
The temperature in Carlton was always cooler than in Borden.
The difference between the daily high temperature for the two cities was 13 degrees.

Answers

The following statement is true with the given values of median and range.

The temperature in Carlton was always cooler than in Borden.

Median and range

The median is the middle number in a sorted ascending or descending list of numbers. The range is the difference between any two numbers.

How to find the median and the range?

Check the trueness of each statement with the given table.

First statement-The daily low temperatures for the two cities were[tex]70^{0}F[/tex] and [tex]83^{0}F[/tex].

Lowest temperature over a week [tex]=[/tex] Median - Range

Thus, for Carlton, it is [tex](75-5)=70^{0}F[/tex] and for Borden it is [tex](88-5)=83^{0}F[/tex]

So, this statement is not true.

Second statement-Borden of at least one daily high temperature of [tex]98^{0}F[/tex]

At least one daily high-temperature [tex]=[/tex] Median + Range

For Borden, it is [tex](88+5)=93^{0}F[/tex]

So, 2nd statement is not true.

Third statement-Temperature in Carlton was always cooler than in Borden.

For Carlton, at least one daily highest temperature (75+5)=[tex]80^{0}F[/tex]  

For Borden, at least one daily lowest temperature [tex](88-5)=83^{0}F[/tex]

Borden's lowest temperature [tex]83^{0}F[/tex] was even more than Carlton's highest temperature [tex]80^{0}F[/tex].

So, the 3rd statement is true.

Fourth statement-The difference between the daily high temperature for the two cities was [tex]13^{0}F[/tex].

If the high temperature for Carlton for one day is [tex]80^{0}F[/tex] and for Borden [tex]83^{0}F[/tex], which is within the given range, then the difference is only [tex]3^{0}F[/tex].

So, the 4th statement is also not true.

Hence, the temperature of Carlton was always cooler than in Borden is the true statement.

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Which functions are increasing?
Select all answers that are correct.

Answers

Left top corner right bottom corner
The top left graph and the bottom right graph

Explanation: You read graphs like this from left to right and so you follow the line and you could tell if the line is going up (increasing) or going down (decreasing$

If you 20 points invested $1,000 this year and the investment return is 7% annually, how much would you have in 20 years? Use this formula: A=P(1+r)^t (P represents initially investment, r represents the rate, and t represents the
time in years)​

Answers

Answer:

2400  I'm sorry if im wrong I tried

Step-by-step explanation:

Marcel converts the frequency table to a conditional relative frequency table by row. 4-column table, 3 rows. First column no label with entries less than 30 miles a gallon, greater than or equal to 30 miles a gallon, total. Second column labeled less than 40 dollars a week with entries W, Y, almost equals 0.43. Third column labeled greater than or equal to 40 dollars a week with entries X, Z, almost equals 0.57. Fourth column labeled total with entries 1.0, 1.0, 1.0 Which value should he use for Y? Round to the nearest hundredth. 0.19 0.45 0.82 0.90

Answers

Answer:

0.19

Step-by-step explanation:

____ | <40 | 》40 | Total

< 30 | W | X | 1.0

》30 | Y | Z | 1.0

Total | 0.43 | 0.57 | 1.0

Since W, X, Y and Z are conditions frequency, they can't be negative

Therefore,

W and Y are both less than 0.43

X and Z are both less than 0.57

The only option less than 0.43 is 0.19 (for Y)

Answer:

0.19

Step-by-step explanation:

____ | <40 | 》40 | Total

< 30 | W | X | 1.0

》30 | Y | Z | 1.0

Total | 0.43 | 0.57 | 1.0

Since W, X, Y and Z are conditions frequency, they can't be negative

Therefore,

W and Y are both less than 0.43

X and Z are both less than 0.57

The only option less than 0.43 is 0.19 (for Y)

HELP ASAP 100 POINTS!!!!


You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?




Answers

Answer: After 30 days, you would have $30,000

Step-by-step explanation: The question clearly gives us a progression which is best described as an arithmetic progression, that is, every term (or every day's amount of money) is determined by adding a fixed amount to what you already have from the previous term (or previous day).

In order to determine the amount earned after a given number of days, we will begin by determining a formula that can be suited for calculating all through any given number of days.

The first amount is fixed already, and we shall call that a. So a equals 1000. The amount added to that is 1000, so for day 2, you shall have 1000 plus 1000 which gives you 2000. The amount added we shall call d, so for day one you earned 1000, for day two you earned 1000 plus 1000. For day three you will earn 2000 plus 1000, which gives you 3000.

Having taken day one as a, and each successive 1000 as d, observe the following trend;

Day 1 = a

Day 2 = a + d

Day 3 = a + (3 - 1)d  which gives you a + 2d

Since the first day has been represented by a, the third day shall be less by one common difference which is d. Hence the formula for day n can be expressed as follows;

Day ₙ = a + (n - 1)d

Where n is the number of days, the nth day shall be less by 1 since the term already includes day 1, which is the first term, hence every term shall always be less by 1. In other words, the 30th day (or 30th term) shall be less by 1 shown as follows

Day 30 = 1000 + (30 - 1) 1000

Day 30 = 1000 + (29 x 1000)

Day 30 = 1000 + 29000

Day 30 = 30000

Answer:

You would get 1000 everyday because you would get the previous day, you would have 30,000

Step-by-step explanation:

Solve 7^ x-1 = 49 ^4-x

Answers

Answer:

Step-by-step explanation:

Which number is Venezuela on the map? yall
WILL MArk BRAINLEIST IF YOU ASNWER FIRST.
1,000 POINTS TO YOUR ACCOUNT WILL BE ADDED BUT ASNWER THEN I RETURN JUST THAT yall

1

2

5

8

Answers

Answer:

5

Step-by-step explanation:

anyone know how to do 1 & 2 ?

Answers

Answer:

D and F

Step-by-step explanation:

1.

SA and V of 3x4x5 right rectangular prism.

Three pairs of faces, 3×4, 4×5, 3×5, so area

SA = 2(3×4 + 4×5 + 3×5) = 94 sq ft

V = L×W×H = 3×4×5 = 60 cubic ft

Answer: D.  SA 94 sq ft, V 60 cu ft

2. Right triangular prism, base legs 3x4, height 7

Two triangular faces, combined area 2×(1/2)×3×4=12, and three rectangular faces, 3x7, 4x7 and 5x7

SA = 12 + 7(3+4+5) = 8(12) = 96

Volume is area of base times height, so (1/2)(3)(4)(7)=42.

Answer:  I.  SA 96 sq cm, V 42 cu cm

what is the answer to 18/s =3 ?

Answers

Answer:

6

Step-by-step explanation:

18/s=3

18=3s

18/3=3s/3

6=s

Is 4by + 2b - by a binomial or a trinomial

Answers

Answer:

binomial

Step-by-step explanation:

4by + 2b - by

Combine like terms

3by +2b

This is a binomial since it has 2 terms

What is the equation of a horizontal line passing through the point (-3, 8)?
Ox=-3
Oy=8
Ox= 5
Oy=-11

Answers

Answer:

Y=8

Step-by-step explanation:

A horizontal line is going to be parallel to the x-axis, so you need to use your y-value to determine the equation of the line. Your y-value in the coordinate (-3,8) is 8, so y=8

Answer: y = 8

Step-by-step explanation: Whenever we are given a line and the problem says that it's horizontal or a flat line, we know that the equation of the line will always be in the form "y = a number".

Since we are given that the y-coordinate is 8, that means that

the equation of this line will be y = 8.

Please calculate the volume if the triangular prism (MIDDLE SCHOOL MATH)​

Answers

So where is the question

if i want to.find out when an object hirs the ground i should _____

Answers

Answer:

You should test out with different objects in different places. But, I would be careful not to use anything that could break!

Please help me I’m terrible at math.

Answers

Answer:

A) 200,000*0.75%=1500*100=150,000

B) 150,000 will be the birds population in 100 years

Which expression can be used to find the surface area of the following triangular prism?
A. 6+6+33+44+55
B. 6+6+55+55+55
C. 12+12+33+44+55
D. 12+55

Answers

Answer:

C

Step-by-step explanation:

3×4=12

3×11=33

5×11=55

whats the missing variable in the equation:2(x+5)-7 = 3(x-2)
show work please
(20 points)

Answers

Answer:

x=9

Step-by-step explanation:

2(x+5)-7 = 3(x-2)

2x+10-7=3x-6

2x+3=3x-6

2x=3x-9

-x=-9

x=9

A laptop is in the shape of a rectangular prism. The laptop has a length of 14 inches, a width 10 inches, and a height of 1 inch. Eryday it's the volume of the laptop?

Answers

Answer: Volume is 140

Step-by-step explanation:

Can -0.96 be the probability of an outcome in a sample space?
yes
no

Answers

Answer:

no

Step-by-step explanation:

Desiree has a box of grease pencils. 8 are green, 10 are yellow, 9 are brown, and 5 are blue. What is
the probability of Desiree selecting a green grease pencil at random, replacing it back into the box, and
then selecting a yellow grease pencil?
a 5/62
b 18/64
c 5/64
d 6/20

Answers

Answer:

C, 5/64

Step-by-step explanation:

To solve this problem, first find the ratio of green pencils to all pencils. There are 8 green pencils and 32 total pencils, meaning the ratio is 8:32. As a fraction, 8/32 can be simplified to 1/4.

Then, find the ratio of yellow pencils to all pencils. There are 10 yellow pencils and 32 total pencils, so the ratio is 10:32. As a fraction, 10/32 can be simplifies to 5/16.

Now, multiply 5/16 by 1/4 to get the chance of selecting a green pencil, putting it back, then selecting a yellow pencil.

5/16 * 1/4 =  5/64

Therefore, C is the correct answer.

Find the area. Will mark brainliest

Answers

Answer:

54 sq in.

Step-by-step explanation:  9x12= 108   108 divided by 2 = 54

so yeah

54 in i think , you multiply 12 and 9 then divide by 2

2 2/3 Divided by 1/4
Find the quotient simplify if possible

Answers

Answer:

Step-by-step explanation:

make 2 2/3 into an improper fraction by multiplying 2 by 3 and adding to 2

8/3

8/3 divided by 1/4 is the same as 8/3 multiplied by 4/1 (just 4)

[tex]\frac{8}{3}*\frac{4}{1} =\frac{32}{3}[/tex]

32/3=10 2/3

Hey there!

The simplified version of this expression is 32/3.

Hope this helps !

-4x -4y=-5

12x + 12y =15
What do the following equation represent

Answers

Answer:

x=5/4 -y

Step-by-step explanation:

12x-12x   12x-12x     12 divided by 0 = undefined

subtract 12 from both sides of the equation then divide by 12.

so the answer would be:

y= 5/4 -x

If a demand curve shown above shift to the left then the________.



.

Answers

Answer:

The quantity demanded goes down

Answer:

Hey ya'll! your answer is D. demand decreased

Thank you so much to the guy above me!

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