[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
Calculate the distance between the points H=(-2, -5) and K=(-7, 1) in the coordinate plane.
Give an exact answer (not a decimal approximation).
Answer:
[tex]d=\sqrt{61}[/tex]
Step-by-step explanation:
The distance is given by the expression[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2}= \sqrt{[(-2)-(-7)]^2+[(-5)-(1)]^2} = \sqrt{(-2+7)^2+(-5-1)^2}=\sqrt{(5)^2+(-6)^2}=\sqrt{(25+36)}=\sqrt {61}[/tex]
Jada and Han order two identical pizza’s.jada ate 1/2 of hers and han ate 2/3 of his. How much pizza did they eat altogether
The amount of pizza that they eat altogether will be 7/6 pizza out of 2 pizzas.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas. This approach is used to answer the problem correctly and completely.
Jada and Han request two indistinguishable pizzas. Jada ate 1/2 of hers and Han ate 2/3 of his.
The amount of pizza that they eat altogether will be given as,
⇒ 2/3 + 1/2
Add the fraction, then we have
⇒ 2/3 + 1/2
⇒ (4 + 3) / 6
⇒ 7 / 6
The amount of pizza that they eat by and large will be 7/6 pizza out of 2 pizzas.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Given f (x) = x² + 4x + 5, what is
Answer:
8+h
Step-by-step explanation:
Simply substitute x = 2+h and x = 2 in.
[tex]\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{(2+h)^{2} +4(2+h)+5-[(2)^2+4(2)+5]}{h}}\\\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{4+4h+h^2 +8+4h+5-17}{h}}\\\displaystyle \large{\frac{f(2+h)-f(2)}{h}=\frac{h^2 +8h}{h}=h+8}[/tex]
Therefore, the answer is h+8 or 8+h.
Another way is to differentiate the function with respect to x. This equation or expression is rate of changes from 2 to 2+h with h being any numbers.
The definition of derivative is:
[tex]\displaystyle \large{f\prime(x)= \lim_{h \to 0}\frac{f(x+h)-f(x)}{h}}[/tex]
Notice how both f(2+h)-f(2) over h and the definition of derivative look same except the derivative has limit of h approaching to 0, making h not having any values by default.
Since f(2+h)-f(2) over h does not have limit, we have to add +h when differentiating the function.
[tex]\displaystyle \large{f\prime(x)=2x+4}\\\displaystyle \large{f\prime(2)=2(2)+4}\\\displaystyle \large{f\prime(2)=8}[/tex]
Since f’(2) is 8 but because f(2+h)-f(2)/h does not have limit of h, therefore we add +h.
[tex]\displaystyle \large{\frac{f(2+h)-f(2)}{h}=8+h}}[/tex]
How many times larger is 500 than 50
Answer:
10
Step-by-step explanation:
500/50=10
50*10=500
For an experiment, the temperature of a liquid must stay above 60.5°F. The starting temperature of the liquid is 88.6°F. It is placed in a cooler, which lowers its temperature 2°F each minute.
How many minutes can the liquid can stay in the cooler?
Select from the drop-down menus to correctly complete the statement. at least 14.05 /more than 14.05/ fewer than 14.05 /at most
14.05 at most
If it is saying at least, than it would be in the cooler for longer than it should be and drop below 60.5
If saying more than 14.05, it is basically the same thing where it is inside the cooler for longer than it should be
If saying at most, that means that 14.05 is the max it would be in the cooler and keeps the liquid above 60.5
Answer: im late but here you go
12/2/22
Step-by-step explanation:
On a team, 4 girls and 3 boys scored a total of 57 points. The difference between the number of points scored by the 4 girls and the number of points scored by the 3 boys is 15. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.
Each girl scored (BLANK) points.
Answer:
Each girl scores 8 points while each boy scores 4 points
Step-by-step explanation:
Let the number of point scored by the 7 girls and 2 boys be x and y respectively.
Thus, since 7 girls and 2 boys scored a total of 64 points, then;
7x + 2y = 64 - - - (1)
Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;
7x - 2y = 48 - - - (2)
Add eq(1) to (eq 2) to get;
14x = 64 + 48
14x = 112
x = 112/14
x = 8
Put 8 for x in eq(1) to get;
7(8) + 2y = 64
56 + 2y = 64
2y = 64 - 56
2y = 8
y = 8/2
y = 4
Thus,each girl scores 8 points while each boy scores 4 points
hope this helps .
write the linear equation in slope intercept form (-2,-4) and (-3,-3)
Answer:
y=7x+18
Step-by-step explanation:
the y intercept is 18 and the slope is 7.
multiply 8 by 10, then subtract t from the result
Answer:
80-t
Step-by-step explanation:
8(10)=80
80-t
Not sure if this is what you mean... please attach a picture to your question.
somebody please help me:(
When rolling a die what is probability of rolling a one
Answer:
1/6
Step-by-step explanation:
6 sides. 1 face with number 1. 1/6
Work out the area of the shaded shape.
Answer:
61
Step-by-step explanation:
You can separate complex shapes like this one into 2 different shapes, to solve this question, find the area of both shapes, the rectangle, and the little square in the bottom right of the shape. It takes long to explain and I don't have much time but the answer is 61.
The average playing time of compact discs in a large collection is 35 minutes, and the standard deviation is 5 minutes.
a. What value is 1 standard deviation above the mean? 1 standard deviation below the mean? What values are 2 standard deviations away from the mean?
b. Without assuming anything about the distribution of times, at least what percentage of the times is between 25 and 45 minutes?
c. Without assuming anything about the distribution of times, what can be said about the percentage of times that are either less than 20 minutes or greater than 50 minutes?
d. Assuming that the distribution of times is approximately normal, about what percentage of times are between 25 and 45 minutes? less than 20 minutes or greater than 50 minutes? less than 20 minutes?
68% are within 30 minutes to 40 minutes, 95% are within 25 minutes to 45 minutes and 99.7% are within 20 minutes to 50 minutes
The three sigma rule states that 68% are within one standard deviation of the mean, 95% are within two standard deviation from the mean and 99.7% are within three standard deviation from the mean.
Given that μ = 35, σ = 5
68% are within one standard deviation = μ ± σ = 35 ± 5 = (30, 40)
95% are within two standard deviation = μ ± 2σ = 35 ± 2*5 = (25, 45)
99.7% are within three standard deviation = μ ± 3σ = 35 ± 3*5 = (20, 50)
`Find out more on three sigma rule at: https://brainly.com/question/25966249
PLS HELP ME WITH THIS (4 x 1) + (4 x 3)
Answer:
16
Step-by-step explanation:
4x1 is 4
4x3 is 12
4+12 is 16
Answer:
16
Step-by-step explanation:
What is the largest integer whose cube is less than 10,000?
Answer:
8 512 =8 X 8 X 8
Step-by-step explanation:
PLEASE HELP ASAPPP!!!!!!!! (Also lemme know it you want another 3 questions for brainliest!)
Answer:
associative
Step-by-step explanation:
8x1=8
no matter how you group it the answer will always be 8
Hey there!
Identity Property FORMULA
Addition Identity Property
a + 0 = a
Multiplication Identity Property
a × b = b × a
Associative Property FORMULA
Addition Associative Property
a + (b + c)
Multiplication Associative Property
a * (b * c) = (a * b) * c
Based on that information we have above… we should say that your answer is most likely: IDENTITY
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Joe ran 2 miles in 16 minutes. At this rate how long did it take him to run 5 miles.
Answer:
40min
Step-by-step explanation:
Since the ratio is 2:16, we want simplify. both 2 and 16 are dividable by 2.
2 / 2 = 1
16 / 2 = 8.
Now we can use the ratio 1 mile per 8 min. We want the rate of how many min to miles, so we'd multiply 5 by 8 which equals 40.
Therefore it takes him 40min to run 5 miles.
Hope this helps!
Pre college need help
Answer:
check online for more information
1/4 plus 4/9 divided by -2/3
NO MIXED NUMBERS
Answer:
The answer is -.17 and that is rounded to the nearest hundredth.
Step-by-step explanation:
Let me know if you need it!
U like fruit WELL ANSWER THIS. lol pls help!!!
Answer:apple
Step-by-step explanation:
Answer:
Blueberries.
Step-by-step explanation:
Apples calorie is 80, Blueberries calorie is 83, Pumpkins calorie is 49, Raspberries calories is 10. The highest number of calories on this list is 83, which is blueberries
Find the value of the expression
j − 14
for j = 18.
Jane is going to purchase a home in a gated community with a sale price of $250,000. She is able to put 20% down for her down-payment and get a mortgage for the balance. The community has Homeowner Association dues of $200 per month. The cost of home insurance is $3,600 yearly. The taxes are $1,200 yearly. She is trying to decide between a 30 year fixed loan and a 15 year fixed loan. Interest rate for the 30-year mortgage is 3.5%. Interest rate for the 15-year mortgage is 2.75%. Jane's credit score is 585.
1) What will her monthly payment be , including taxes, insurance, and other fees, rounded to the nearest dollar, if she chooses the 30 year fixed?
2) Assuming she makes monthly payments for 30 years, How much will Jane have paid total for the house at the end of the 30 years? Don't forget the down-payment.
3) What will her monthly payment be rounded to the nearest dollar, including taxes, insurance, and other fees, if she chooses the 15 year fixed?
4) Assuming she makes monthly payments for 15 years, How much will Jane have paid total for the house at the end of the 15 years? Don't forget the downpayment.
Answer:
Step-by-step explanation: this is hard
WILL MARK BRAINIEST!! 50 POINTS.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x).
Part B: Solve for k in each type of transformation.
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x).
Answer:
Part A: The two types of types of transformation are
1) Rotation of 11.3° about (1, 2)
2) By algebraic transformation
Part B:
Rotation by 11.3° and T(2 - y)×1/2 + x, 0)
Part C: The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)
Step-by-step explanation:
The coordinates through which the linear function f(x) passes = (1. 3) and (3, 13)
The coordinates through which the linear function g(x) passes = (1, 3) and (1, 13)
The equation for f(x) in slope and intercept form. y = m·x + c is given as follows;
The slope, m = (13 - 3)/(3 - 1) = 5
The equation in point and slope form is y - 3 = 5×(x -1)
y = 5·x - 5 + 3 = 5·x - 3
y = 5·x - 3
The equation for g(x) in slope and intercept form. y = m·x + c is given as follows;
The slope, m = (13 - 3)/(1 - 1) = ∞
∴ The equation in point and slope form is x = 1
Therefore, the two equations meet at the point (1, 2)
The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)
2) Another transformation that can be used is to rotate f(x) by the vertex angle as follows
Vertex angle is 90° - tan⁻¹(m) = 90° - tan⁻¹(5) ≈ 11.3°
Rotation of f(x) by 11.3° about (1, 2) gives g(x)
Hope this helped!
Draw the image of AABC under a translation by 3 units to the left and 3 units down
this is an answer if u have somethin better go for it
The variables x and y are directly
related. When x=15, y = 6. What is the
value of x when y = -4?
which one is great 10% or 1.0- which on is greater 30% or 1/3- which one is greater 0.9 or 95%- which one is greater 80% or 5/8
Answer:
see exp
Step-by-step explanation:
1.0, 1/3, 95%, 80%
HURRY PLS!
Evaluate if a= 4 and b=7
28÷ b+7
A. 14
B. 11
Step-by-step explanation:
Hi, I think correct variant is B
(28÷7)+7=4+7=11
Suppose that the probability that an item produced by a certain machine will be defective is 0.1. Find the probability that a sample of 20 items will contain at most 2 defective items.
Answer:
no it is really easy question to answered so do it your self
There are 14 European cities that Sam would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.)
Answer:
2184 different schedules
Step-by-step explanation:
Sam can make different schedules of the same three cities, so order of cities does matter, but no repetition is allowed. This makes this a permutation without repetition.
When we choose from n items, and we choose r of them, our formula is
n! / (n-r)!. We have 14 things to choose from, and 3 to choose, so our formula becomes
14! / (14-3)! = 14!/11! = 14*13*12 = 2184 different schedules
If A = -3n + 2, and B = 5n - 7, what is the value of A - B, in simplest form?
Answer:
2n-5
Step-by-step explanation:
So you would combine your like terms witch would be -3n+5n which would give you 2n then you would do 2-7 and get -5 then you get you answer 2n-5
The value of (A - B) in the simplest form is (A - B) = -8n + 9.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equations are A = -3n + 2 and B = 5n - 7.
The value of A - B is:
A - B
= -3n + 2 - (5n - 7)
= -3n + 2 - 5n + 7
= -8n + 9
Hence, the value of (A - B) in the simplest form is (A - B) = -8n + 9.
Learn more about equations here:
https://brainly.com/question/10413253
please i need help on this question