Answer:
x = 3⁸
Step-by-step explanation:
Step(i):-
Given that
[tex]log _{3} (x)+ log_{9} (x) =12[/tex]
[tex]log _{3} (x)+ log_{3^{2} } (x) =12[/tex]
we know that
[tex]log^{a} _{b} = \frac{loga}{logb}[/tex]
[tex]log _{3} (x)+ \frac{logx}{log3^{2} } =12[/tex]
Step(ii):-
Apply log xⁿ = nlogx
[tex]log _{3} (x)+\frac{1}{2} \frac{logx}{log3 } =12[/tex]
[tex]log _{3} (x)+ \frac{1}{2} log_{3 } (x) =12[/tex]
[tex]log _{3} (x)+ log_{3 } (x)^{\frac{1}{2} } =12[/tex] ( ∵ log xⁿ = nlogx)
Apply log(ab) = loga+logb
[tex]log _{3} (x (x^{\frac{1}{2} }) =12[/tex]
[tex]log _{3} ( (x^{\frac{3}{2} }) =12[/tex]
[tex]\frac{3}{2} log _{3} ( x) =12[/tex]
[tex]\frac{1}{2} log _{3} ( x) = 4[/tex]
[tex]log _{3} ( x) = 8[/tex]
we know that [tex]log _{b} ( x) = a[/tex] ⇒ x = bᵃ
∴ x = 3⁸
Use the scatter plot of car resale values to answer the following question
Car Resale Values
100
help me pls pls plshdhdvdvd
Can you help me solve this problem please
Answer:
x = 4√3
Step-by-step explanation:
It's not letting me post, so refer to my explanation in the screenshot below:
In a large school, it was found that 77% of students are taking a math class, 74% of student are taking an English class, and 70% of students are taking both. Find the probability that a randomly selected student is taking a math class or an English class. Write your answer as a decimal, and round to 2 decimal places if necessary. Find the probability that a randomly selected student is taking neither a math class nor an English class. Write your answer as a decimal, and round to 2 decimal places if necessary.
Answer:
0.81 = 81% probability that a randomly selected student is taking a math class or an English class.
0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class
Step-by-step explanation:
We solve this question working with the probabilities as Venn sets.
I am going to say that:
Event A: Taking a math class.
Event B: Taking an English class.
77% of students are taking a math class
This means that [tex]P(A) = 0.77[/tex]
74% of student are taking an English class
This means that [tex]P(B) = 0.74[/tex]
70% of students are taking both
This means that [tex]P(A \cap B) = 0.7[/tex]
Find the probability that a randomly selected student is taking a math class or an English class.
This is [tex]P(A \cup B)[/tex], which is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cup B) = 0.77 + 0.74 - 0.7 = 0.81[/tex]
0.81 = 81% probability that a randomly selected student is taking a math class or an English class.
Find the probability that a randomly selected student is taking neither a math class nor an English class.
This is
[tex]1 - P(A \cup B) = 1 - 0.81 = 0.19[/tex]
0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class
Solve (x - 3)2 = 5.
O A. x = 8 and x = -2
B. X=5115
C. x=3+ V5
O D. x=-31,5
Answer:
x = 3 ± √5
Step-by-step explanation:
Given:
(x - 3)² = 5
Find:
Value of x
Computation:
(x - 3)² = 5
x² - 6x + 9 = 5
x² - 6x + 4 = 0
x = [-b ± √b² -4ac] / 2a
x = 3 ± √5
What type of variable cannot take a value of fraction between two consecutive sample
points?
a. discrete c. qualitative
b. continuous d. quantitative
Answer:
jhfmgcmvmhvkufmhvmhfmbv!hvmhvmbvku
Step-by-step explanation:
hkuufkugkufx,469('%hhohk
oyraaxcn!lpouytewqafbm
The University of Florida is interested in determining if there is a difference in the proportion of male students that work versus female students, so they send out a survey with a question that asks, "Do you currently, or have you, worked a job while taking classes at UF?" Out of 874 males (group 2) that responded, 396 said yes, and out of the 902 females (group 1) that responded, 489 said yes. (Males - Females) Find the point estimate of the difference in the population proportion of females that work at UF versus males.
Answer:
-0.089
Step-by-step explanation:
Given that:
Males - Group 2:
Total number of males, n = 874
Number that said yes, = 396
P1 = 396 / 874 = 0.453
Females - Group 1 :
Total number of Females, n = 902
Number that said yes, = 489
P2 = 489 / 902 = 0.542
Point estimate of the difference in sample proportion:
P1 - P2
0.453 - 0.542
= −0.089
The rationale number between -1/3,1/4?
Answer:
1/6
Step-by-step explanation:
here is it
In the similar triangles below, what is the measure of ∠F
90°
74°
53°
37°
Answer:
37 degrees because of similarity
Step-by-step explanation:
Answer37\
Step-by-step explanation:
Vehicles passing over a bridge have two options for paying their bridge toll: paying with a live cashier or using a Speed Pass device affixed to the dashboard. Data on a busy day for cars and trucks passing over the bridge are shown here.
Answer:
(A) 0.2814
Step-by-step explanation:
you do 47 (amount of trucks with speed pass) divided by 167 (total amount of vehicles) to get 0.2814.
Answer:
A) 0.2814
Step-by-step explanation:
edge 2023
Help me and pls explain how you got the answer
Answer:
The length of the missing side is 8.5 ft
Step-by-step explanation:
To find the length of the missing side, we can use the Pythagorean theorem which states [tex]a^2 + b^2 = c^2[/tex] where c is the length of the longest side of a right-angle triangle while a and b are the other two sides. Note that the Pythagorean theorem ONLY applies to right-angle triangles.
[tex]a^2+b^2=c^2\\(6)^2+(6)^2=36+36=72=c^2\\\\c=\sqrt{72}= 8.48[/tex]
Rounding to the first decimal place, we get c = 8.5ft
50 points! Mhanifa please help! Everyone is putting random answers when I post a question and I need this done asap! DONT ANSWER IT IF YOU DONT KNOW IT GUYS
Answer:
x = 26°Step-by-step explanation:
The first two questions are answered here
https://brainly.com/question/21794653Question 3Use the equation for exterior angle
Exterior angle = sum of non-adjacent interior angles
5x - 2 = 2x + 765x - 2x = 76 + 23x = 78x = 26Answer:
x = 26° degrees the work bellow is correct i double checked it :)
Step-by-step explanation:
) Let f(x) = 4x + 2 and g(x) = 3
x
. Find each of the following.
(a) (f + g)(3)
(b) (f · g)(x)
Find total surface area of the pyramid.
Answer choices
A.144 inches squared
B.1150 inches squared
C.170 inches squared
D.180 inches squared
Answer:
D) 180 inches²
SEE NOTE*
Step-by-step explanation:
Base = 10x10=100
Each triangle = 1/2x10x4=20
20x4=80
100+80=180
* This may be a trick question. This pyramid CANNOT exist. If the base is 10 inches, the height of the triangles cannot be 4 inches. They must be more than 5.
Plsss help meeeeeeee
Answer:
x = [tex]\sqrt{99}[/tex]
Step-by-step explanation:
Based on the Pythagoras theorem, where a and b are the legs of the triangle and c is the hypotenuse.
[tex]c^{2}= a^{2} + b^{2} \\c = \sqrt{a^{2} + b^{2} } \\x = \sqrt{7^{2} + (5\sqrt{2})^{2}} \\x = \sqrt{99}[/tex]
Therefor x = [tex]\sqrt{99}[/tex]
xy2 for x = 8 and y = 10.
Answer:
6400
Step-by-step explanation:
(8)(10)2
(80)2
6400
Answer:
160
Step-by-step explanation:
you replace x with 8 and replace y with 10
Whenever the numbers are close together such as "xy2" it mean you're multiplying
so whwn you multiply 8 * 10 * 2 you would get 160
Hoped this helped!
A survey of 285 adults found that during the last year, 75 traveled by plane but not by train, 55 traveled by train but not by plane, 30 traveled by bus but not by plane or by train, 70 traveled by bus and plane, 35 traveled by all three, and 215 traveled by plane or train. How many did not travel by any of these modes of transportation
Answer:
40
Step-by-step explanation:
Given that
Total number of adults, U = 285
Number of plane travellers, P = 75
Number of train travellers, T = 55
To find the number of people that didn't travel by any means of transportation listed in the question, then we say
Total number of adults minus number people who traveled by plane or train minus number of people who traveled by bus but not by plane or train.
This means that number of people who didn't travel by any of the three means of transportation, N =
N = U - pt - b
N = 285 - 215 - 30
N = 40
Therefore, the total number needed is 40
can anyone help me :)?
Find the surface area of this net.
_____square centimeters.
Answer:
46
12+12=24
6+6=12
8+8=16
24+12+16:46
Can somebody please
Answer them in grouping and explain the strategy
40x - 16
16x - 24x - 4 +12
-8x -8
Answer:
Step-by-step explanation:
4ox-16=4[10x-4]this is because 4 is the common factor in both 40and 16
16x-24x-4±12=4[4x-6x-1±3]
-8x-8=8[-1-1]
I need help asap! The answer isn't 0.
1. -6x + 3y = 6
-4x + 2y = -10
Solve by substitution method
Three of these fractions are equivalent.
Which is the odd one out?
18
24
28
8
24
32
36
Use long division to write 4/5 as a decimal number
15 points please explain
Answer:
.8
Step-by-step explanation:
divide 4 by 5 = .8 why? cuz...
To convert a fraction into a decimal, divide the top of the fraction (numerator) by the bottom of the fraction (denominator). In this case, the fraction is 4/5, so divide 4 by 5 . This equals 0.8 .
to make it more simple 4 goes into 5 once so:
1 For the denominator, recognize that 5 x 20 = 100
Multiple = 20
2 Multiply both the numerator and denominator by the multiple 20.
5×20
4×20
3 Simplify.
80
100
4 Simplify.
0.8
Im happy to help with these kind of problems :D!
The solution of fraction 4/5 as a decimal number would be 0.80.
Used the concept of division method that states,
The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.
Given that,
Use long division to write 4/5 as a decimal number.
Now divide the numbers as shown in the image.
That is,
4/5
= 0.80
Therefore, the solution is 0.80.
To learn more about the divide visit:
brainly.com/question/28119824
#SPJ6
Barack Obama is 6° 1" tall, Michelle Obama is 5' 11" tall.
Who is taller with respect to their own gender? (Men have a
mean height of 70.4" with SD 3.0" and women have a mean
height of 65.1" with SD 2.6".) Is either one unusually tall?
Answer:
Michelle is taller for her gender
Step-by-step explanation:
Simplify Rewrite the expression in the form 5 ^ n. (5/10)/(5/12) =
Answer:
[tex]5^{-2}[/tex]
Step-by-step explanation:
[tex]5^{(10-12)}[/tex]
The simplified expression in the form 5^n is 5^−1×6.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
We are given that;
Form=5 ^ n
Now,
To simplify the expression, we need to first rewrite the fractions with a common denominator of 60: (5/10)/(5/12)=(5×6)/(10×6)÷(5×5)/(12×5)=(30/60)/(25/60)
Then we need to invert the second fraction and multiply: (30/60)/(25/60)=(30/60)×(60/25)=30/25
Then we need to simplify the fraction by dividing both numerator and denominator by 5: 30/25=(30÷5)/(25÷5)=6/5
Finally, we need to rewrite the fraction in the form of 5n
by using the property that a/b=a×b−1
So we have: 6/5=6×5−1=50×6×5−1=50−1×6=5−1×6
Therefore, by the fraction the answer will be 5^−1×6.
Learn more about fraction;
https://brainly.com/question/729654?referrer=searchResults
#SPJ2
1.Give an example of an irrational square root.
2.Which whole numbers does it fall between? Explain how you found the integers.
3.Which integer is the irrational square root closer to? Explain why.
90 POINTS!!
1) [tex]\sqrt{65}[/tex]
2) 8 and 9 because [tex]8=\sqrt{64}[/tex] and [tex]9=\sqrt{81}[/tex], and 65 is between 64 and 81
3) 8 because 65 is much closer to 64 than it is to 81
How many ways can two students be chosen from a group of four?
4
6
14
10
Answer:
6
Step-by-step explanation:
Enter an inequality that represents the phrase "the sum of 7 and y is less than 9."
whats the inequality?
Answer:
Inequality Form:
y<2
Interval Notation:
(−∞,2)
The answer your looking for is: y<2
Where is the blue dot on the number line?