Can someone solve this question ~
[tex] - 6 \: log_{3}(x - 2) = - 24[/tex]
[tex]ɴᵉᵉᵈ \: ɢᵉⁿᵘⁱⁿᵉ \: ᴀⁿˢʷᵉʳ[/tex]
[tex]\huge \sf༆ Answer ༄[/tex]
The value of x is ~
[tex] \sf \: 83[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex] \sf \: - 6 log_{3}(x - 2) = - 24[/tex][tex] \sf \: log_{3}(x - 2) = \dfrac{ - 24}{ - 6} [/tex][tex] \sf \: log_{3}(x - 2) = 4[/tex][tex]x - 2 = {(3)}^{4} [/tex][tex]x - 2= 81[/tex][tex]x = 81 + 2[/tex][tex]x = 83[/tex]You're welcome spammy ~
The value of x from the given expression is 5
Laws of logarithmGiven the logarithm expression
[tex]-6log_3(x-2)=-24[/tex]According to the law of logarithm, if [tex]log_ab=c, \ hence \ b= a^c[/tex]
Applying this law to the given question, we can see that:
[tex](x-2)^{-6}=3^{-24}\\(x-2)^6=3^{24}\\(x-2)^6=3^6\\[/tex]
Cancel out the exponents to have:
x - 2 = 3
x = 2 + 3
x = 5
Hence the value of x is 5
Learn more on logarithm here; https://brainly.com/question/25710806
Write 0.511 as a fraction.
Answer:
511 / 1000
Step-by-step explanation:
0.511 = 511 / 1000
Answer:
511/1000Step-by-step explanation:
Steps to convert 0.511 into a fraction:
Write 0.511 as 0.511/1
For each digit following the decimal point, multiply both the numerator and denominator by ten:
0.511/1
= 0.511 * 1000/ 1 * 1000 = 511/1000As an aside, the entire number-integral section is: blank.
The decimal component is as follows: 0.511 = 511/1000
The following is the complete breakdown of simple fractions: 511/1000
Francis owns a cake shop. She is currently preparing cupcakes (x) and cookies (y) for two birthday
parties. The first birthday party ordered 20 cupcakes and 40 cookies and their total cost was $61. The second birthday party ordered 30 cupcakes and 30 cookies. Their total cost was $64.50.
The cost of cupcakes is $1.25 and cookies costs $0.90.
Two equations that would be used to determine the required values can be derived from this question:
20x + 40y = 61 equation 1
30x + 30y = 64.50 equation 2
In order to determine the value of y, the following steps would be taken: Multiply equation 1 by 3 and equation 2 by 2.
60x + 120y = 183 equation 3
60x + 60y = 129 equation 4
Subtract equation 4 from 3
60y = 54
Divide both sides of the equation by 60
y = $0.90
Substitute for y in equation 1
20x + 40(0.9) = 61
20x + 36 = 61
20x = 61 - 36
20x = 25
x = 25 / 20
x = $1.25
To learn more about simultaneous equations, please check: : https://brainly.com/question/25739929
Which represents the RANGE of the following relation? {(-6, 5), (-4, 3), (-1, 0), (4, 3)}
Answer:
5, 3, 0, 3 are all the ranges! Hope this helps
Step-by-step explanation:
Ranges are on the right, domains are on the left
Can someone help me I will mark u brilliant
Answer: its 45% for sure
Answer:
i believe 45%
Step-by-step explanation:
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
PLEASE HURRY! WILL MARK BRAINLIEST IF CORRECT (Screenshot)
Eva and Jamir like to bake cookies. Eva baked 24 chocolate chip cookies, and Jamir baked ppp peanut butter cookies. Together they baked a total of 56 cookies.
Tomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?
Which of the following sets of ordered pairs represents a function?
A (510), (0.15). (
510)
(3.5) (3,9). (4.2)
22302 79717263393-
D
(0.6) (12.10). (O.-6)
Answer: your answer is A) & D)
Step-by-step explanation: Hope this helps :)
Answer:
A) (-5,10), (0,15), (5,10)
Step-by-step explanation:
In order for an ordered pair to be a function, no pair of coordinates can have the same x variable.
88π
Rational or irrational
Good answer i mark brainlest
Answer:
Irrational
Step-by-step explanation:
The number is irrational because when you convert it to decimal form, you get 276.4601... a repeating decimal that goes on and on.
Answer:
IrrationalStep-by-step explanation:
π is irrational and 88 is rational number.
The product of the two is irrational.
find the missing side of each triangle
Answer:
where is the triangle
Step-by-step explanation:
I don't no where is the triangle
please help ill mark brainliest
The value of the missing length is 20
Let the missing length be x
From Parallel lines and transversal theorem, we have that
If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.
Then, we can write that
[tex]\frac{x}{15} =\frac{16}{12}[/tex]
∴ [tex]x = \frac{15\times 16}{12}[/tex]
x = 20
Hence, the value of the missing length is 20
Learn more here: https://brainly.com/question/24258397
Evaluate the function when x = -1,0, and 4.
9. g(x) = 3 -
X
g(-1) =
g(0) =
+
g(4) =
Plz help me I need the answer
Step-by-step explanation:
what is the problem ?
as indicated you only need to use the corresponding value as "x" in the formula and then just calculate the result.
g(-1) = 3 - 1/3 × -1 = 3 + 1/3 = 3 1/3 or 10/3 or 3.333...
g(0) = 3 - 1/3 × 0 = 3
g(4) = 3 - 1/3 × 4 = 3 - 4/3 = 9/3 - 4/3 = 5/3 or 1 2/3 or 1.66666...
Answer:
g(-1) = 3/2
g(0) = 3
g(4) = 1
A tree that stands 75 feet tall, casts a
shadow of 30 feet at 11:00 am. What is
the ratio of the length of the shadow to the
height of the tree?
Answer:
30 to 75, 30/75, 30:75
Step-by-step explanation:
Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows:
x 1 2 3 4
p(x) 0.4 0.3 0.2 0.1
The required linear equation representing the distribution is
p(x) = -0.1x + 0.5
From the table given, we can generate the equation for the distribution.
Expressing as a coordinate form (x, p(x)). We can use the coordinate points (1, 0.4) and (2, 0.3)
The linear expression will be in the form p(x) = mx + b
m is the rate of change:b is the interceptGete the rate of change:
m = 0.3-0.4/2-1
m = -0.1/1
m = -0.1
Get the intercept.
0.4 = -0.1(1) + b
0.4 = -0.1 + b
b = 0.4 + 0.1
b = 0.5
Hence the required linear equation representing the distribution is
p(x) = -0.1x + 0.5
Learn more on linear equation here: https://brainly.com/question/18176080
Please help with Exponential Problem !!!
Answer:
D) f(3) = 54
Step-by-step explanation:
f(3) = 2 x 3^3
f(3) = 2 x 27
f(3) = 54
Hope this helps! Pls give brainliest!
Answer:
D
Step-by-step explanation:
first you need to do the exponent and you substitute the 3 in for ex
so 3^3=27
then you multiply it by 2 to get 54
316=5
459=6
248=4
739=?
Answe
i think it's 9
Step-by-step explanation:
316 fỉst number is 3 +2 =5
459 first number is 4+2=6
2+2=4
7+2=9:)))
Joel wants to buy a new tablet computer from a store having a 20% off sale on all tablets. The tablet he wants has an original cost of $190. He also wants to make sure he has enough money to pay the 5% sales tax. How much will Joel pay for the tablet?
Answer:
161.5 $
Step-by-step explanation:
the cost of table after the discount = 100% - 20% = 80%
the cost of table after the discount = Original cost × 80%
=(190)(0.8)
=152 $
the cost of table after the discount plus the tax = (the cost of table after the discount) + (Original cost × 5%)
=152+(190)(0.05)
=152+9.5
=161.5 $
So... The total amount will Joel pay for the tablet = 161.5 $
What’s is 43-14 as a percent
What is 12,925 to the nearest ten thousand
Answer:
To round to the nearest 10,000, you look at the number immediately to the right. If this number is 5 or above, you add 1 to the column in question and zero all numbers to the right. If the number immediately to the right is 4 or less, you just zero all numbers to the right.
In this case, the 10,000 column is the column with the 1. The number immediately to the right is 2. This is 4 or less, so we set all numbers to the right of the 10,000 column to zero.
I get 10,000
Step-by-step explanation:
Find each key feature of the function shown in the graph. Write the range and domain in interval notation, and assume all values are integers. What's the domain and range for this graph ?
The domain of the graph is [tex]-8<x\leq 9.5[/tex] while the range of the graph is [tex]-4\leq x<4[/tex].
The domain of the graph is input values of "x" for which the function exists while the range is the output values "y" for which the function exists.For the graph, the domain will be the values of the graph along the x-axis.
Domain = [tex]-8<x\leq 9.5[/tex] (Note that -8 is not included)For the range, the interval is given as: [tex]-4\leq x<4[/tex]. Note that the value of 4 is not included since it is opened.Learn more on domain and range here: https://brainly.com/question/1942755
Here is the list of numbers.
5
11
16
24
29
From the list, write down a multiple of 3.
Plz write down the answer.
Answer:
From the list the multiple of 3 is 24
Kris and his dad built an ice rink. The area is 74.4 sq meters. The length is 12 meters what is the width
Answer:
6.2 meters
Step-by-step explanation:
1) area = l*w
74.4 = 12x
x=6.2
find measure of angle A
Using the number lines shown, what is the equivalent fraction to 3/3
Answer:
3/3 is a whole so I believe it would be the whole number line
PLS HELP ITS A MAJOR GRADE AND DUE TOMORROW
A rental car company charges $55 plus $0.50 per mile to rent a car. Mt. Judd does not want to spend more than
%150 for his rental car. Write and solve an inequality to find how many miles he can drive and not spend more
than $150. Interpret/explain the solution.
Incorrect work/Solution
Identify and Explain Error
m = miles
0.5m < 150
0.5 0.5
m< 30
Mr. Judd can drive at least 50 miles.
Correct Work/ Solution
Share Strategy
Answer:
*See below*
Step-by-step explanation:
Identify and Explain Error
The method shown is using fractions to compare costs. This strategy does not work due to the fact that they have not factored in the $55 he pays for the car before hand. Also, 150 divided by 0.5 does not equal 30, it equals 300 so, even if he did not pay $55 beforehand, the equation is still incorrect.
Correct Work/Solution
$55 to rent
$0.50 per mile
Let's start by removing $55 from $150 to see how many dollars is left over for gas.
150 - 55 = 95
Then, divide 95 by 0.5
95 ÷ 0.5 = 190
He can drive at least 190 miles.
Share Strategy
Since he starts off paying $55 dollars out of $150, we need to subtract $55 by $150 to see how much cash he has left over for mileage. $150 minus $55 equals $95 so, he has $95 left over for mileage. $95 will then be divided by $0.50 to find out how many miles he can drive. We are dividing by $0.50 because that's the cost per mile. $95 divided by $0.50 equals 190 so he can drive at least 190 miles.
Note:
Hope this helps :)
Have a great day!
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 77 kilograms. A delivery of 6 large boxes and 2 small boxes has a total weight of 104 kilograms. How much does each type of box weigh?
A clerk is decreasing the price of an item by 15% The original price of an item is ($550
What will the new price be?
a
1. Baby Amelia's parents measure her height every
month. She was born 46 cm long and grows on
average 2.5 cm per month. Write a linear equation to
find Baby Amelia's height, y, after x number of
months. (3 pts)
Slope:
y-intercept:
(1 pt)
Equation:
(1 pt)
After how many months will Amelia be 66 cm? Show
your work:
After
months. (1 pt)
Answer: equation: y = 2.5x + 46
slope: 2.5
y intercept: 46
she will be 8 months old by the time she is 66 cm
Step-by-step explanation: the eqation is written in y= mx+b format, where m is the slope and b is the y intercept. You can solve the last part of the problem by using this equation and subbing 66 in for y.
y = 2.5x + 46
66 = 2.5x + 46
20 = 2.5x
8 = x
what is 2/5=_=_ what is the 2 equivalent fractions
Answer:
4/10 and 16/40
Step-by-step explanation:
2/5 = 0.4(ZERO POINT FOUR NOT 0.04 ZERO POINT ZERO FOUR)
(numerator =2 x 2=4 ,denominator= 5 x 2= 10) this is how i got 4/10 (choose any number between 10 and 2 and multiply it by the denominator and numerator)
As well as 4/10 = 0.4
Also 16/40= 0.4
(Using our original fraction 2/5 we can multiply both the numerator and denominator by 8; numerator= 2 x 8 = 16 and denominator= 5 x 8 = 40
Since 4/10 and 16/40 are both equivalent to 0.4, they are equivalent fractions
(TO FIND THE DECIMAL OF THAT FRACTION DIVIDE THE NUMERATOR BY DENOMINATOR)
hope this helps, ;]