Answer: log(2) 512= 9
Step-by-step explanation:
A P E X ;)
In logarithmic form, the expression [tex]2^9 = 512[/tex] can be rewritten as follows:
[tex]log_{(2)}\ 512 = 9[/tex]
As we know that the logarithmic form allows us to express the exponent as the logarithm of the base to a certain value, which in this case is 9.
To understand this, let's break down the expression.
The base of the logarithm is 2, and the result of raising 2 to the power of 9 is 512.
By taking the logarithm of 512 to the base 2, we get the exponent, which is 9.
So, in logarithmic form can be written as:
[tex]log_{(2)}\ 512 = 9[/tex]
Therefore, in logarithmic form, the expression [tex]2^9 = 512[/tex] can be rewritten as follows:
[tex]log_{(2)}\ 512 = 9[/tex]
Learn more about the logarithmic properties here:
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MY NOTES ASK YOUR TEACHER Jack has decided to advertise the sale of his car by placing flyers in the student union and the dining hall of the college. He estimates that there is a probability of 0.4 that a potential buyer will read the advertisement and that, if it is read, the probability that the reader will buy his car will be 0.1. Using these estimates, find the probability that a potential buyer will read the ad and will buy Jack's car.
Answer:
The probability that a potential buyer will read the advert and will buy Jack's car is 0.04
Step-by-step explanation:
Estimate 1: There's a 0.4 probability that a potential buyer will read the advert.
Estimate 2: There's a 0.1 probability that whoever reads the advert will buy his car.
- As you can see, the probability of success of this event decreases; from the point of Jack placing an advert, to the point of someone purchasing his car.
- That someone reads the advert does not mean that he or she would be interested in or capable of purchasing the car.
- That someone has the capacity to buy the car (potential buyer) does not mean they'll eventually buy it.
- So altogether, there is a low probability of each reader purchasing the car, and that's 0.1
In the calculation of probability, "and" represents multiplication. Hence,
0.4 × 0.1 = 0.04
-4y-4+(-3) please help me! thank you
Answer: 1.75 = y
Explanation: In the picture linked
Hope this helps
Santiago starts a savings account with $20. Each month he deposits $15 more into the account. Santiago wants to save a least $80. Write an inequality that represents this situation.
Answer:
$20 + $15m ≥ $80
Step-by-step explanation:
He starts off with $20.
He adds $15 each month, so $15m.
He wants to save at least $80, which means greater than or equal to $80. So, you use this symbol: ≥
Put it all together.
$20 + $15m ≥ $80
Hope that helps.
Which of the
the
following fractions is the largest
11/16 , 3/5 , 7/10 , 13/18
Answer:
11/16, 3/5, 7/10
Step-by-step explanation:
he;ppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
y = 64
Step-by-step explanation:
The angles are supplementary, that is sum to 180° , thus
2(x + 6) + y = 180 ← substitute x = 52
2(52 + 6) + y = 180
2(58) + y = 180
116 + y = 180 ( subtract 116 from both sides )
y = 64
Find 83 1/3 % of 384
Answer:
319.872
Step-by-step explanation:
319.872 / 384 = 83 1/3 / 100
Final Answer: [tex]320[/tex]
Steps/Reasons/Explanation:
Question: Find [tex]83\frac{1}{3}[/tex]% of [tex]384[/tex].
Step 1: Convert mixed fraction into improper fraction.
[tex]\frac{250}{3}[/tex]
Step 2: Multiply [tex]\frac{250}{3 * 100}[/tex] with [tex]384[/tex].
[tex]\frac{96000}{300}[/tex]
Step 3: Simplify
[tex]320[/tex]
~I hope I helped you :)~
Xavier Dupree deposited $1,400 in a new regular savings account that earns 6.5 percent
interest compounded monthly. He made no other deposits or withdrawals. What is the
amount
in the account after 9 months?
O $1,493.76
O $1,422.87
O 1,446.12
O $1,469.75
Select the expressions that are equivalent to 34
Answer:
81 9^2
Step-by-step explanation:
3•3= 9
3•3=9
9•9=81
and 9•9=81
Express 0.2 as a fraction.
Answer:
1/5
Step-by-step explanation:
0.2 = 2/10
2/10 = 1/5
Answer:
0.2 = 1/5
Step-by-step explanation:
0.2
=
0.2 × 10
=
2/10
=
2 ÷ 2
10 ÷ 2
=
1/5
thx for helping me get smart and learing my math ava :D
Answer:
NICEE
Step-by-step explanation:
On a map, the scale is ½ inch to 300 miles. If the trip from Corpus Christi to El Paso is 600 miles, how far apart will those cities appear on the map (in inches)?
Answer:
Step-by-step explanation:
How many miles from El Paso to Corpus Christi?
The total driving distance from El Paso, TX to Corpus Christi, TX is 699 miles or 1 125 kilometers.
Answer:
1 inch
Step-by-step explanation:
1/2 inch = 0.5 inch
0.5/300 = n/600
0.5 * 600 = n * 300
300 = 300n
1 = n or n = 1
If 9y – 5 = 22, find the value of 2y.
Answer:
I want questions and answers
Step-by-step explanation:
Step-by-step explanation:
9y-5=22
9y=22+5
y=27
9
y=3
now,
2y=2×3=6
hope it helps.
The rate of change in sales S is inversely proportional to time t(t > 1) measured in weeks. Find S as a function of t if sates after 2 and 4 weeks are 200 units and 350 units respectively.
A. S(t) = 50 [3 ln t/ln2 +1]
B. S(t) = 550 [3 ln t/ln3 +150]
C. S(t) = 50 [3 ln t/ln2 +11]
D. S(t) = 50 [11 ln t/ln2 +1]
E. S(t) = 550 [ln t/ln3 +1]
Answer:
A. S(t) = 50 [3 ln t/ln2 +1]
Step-by-step explanation:
We are told that the rate of change in sales S is inversely proportional to time.
Thus;
dS/dt = k/t
Where k is the constant of proportionality.
So,
dS = (k/t)dt
Integrating both sides gives us;
S = (kIn t) + C
We are given that after 2 and 4 weeks are 200 units and 350 units respectively.
Thus;
S(2);
(k In 2) + C = 200 - - - (eq 1)
(k In 4) + C = 350 - - - -(eq 2)
To find k, let's subtract eq 1 from eq 2 to get;
(k In 4) - (k In 2) = 350 - 200
(k In 4) - (k In 2) = 150
k(In 4 - In 2) = 150
0.6931k = 150
k = 150/0.6931
k = 216.42
Plugging this for k in eq 1 gives;
(216.42 In 2) + C = 200
C = 200 - 150
C = 50
Thus;
S(t) = (216.42In t) + 50
Now 216.42 can also be expressed as;
150/In 2
Thus;
S(t) = ((150/In 2)In t) + 50
Factorizing out gives;
S(t) = 50 [(3 ln t/ln2) + 1]
Option A is the correct answer
Can someone help me with these 2 questions real quick?
Answer:
<M = 32 and <Y = 103
Step-by-step explanation:
1. Since triangle BCM is congruent to triangle ZYR, we know the corresponding parts of the triangles are congruent. Therefore, <Z = <B = 45. The sum of a triangle’s angles is 180, so <M = 180 - <B - <C = 180 - 45 - 103 = 32
2. This is the exact same diagram, so we can use the information we have collected in #1. Since corresponding parts of congruent triangles are congruent, <Y must be congruent to <C, which equals 103. Therefore, <Y = 103.
I hope this helps! :)
find the sum of (2c+6)+3(c+8) pls help me for 15 points and a brainiest!!!
Answer:
(2c+6)+3(c+8)
=2c+6+3c+24
=5c+30
Find the cost of tiling a rectangular plot of land 300 m long and 150 m wide at the rate of $6 per square m.
Answer:
$270,000
Step-by-step explanation:
First, find the area of the plot using the formula A = lw
A = lw
A = (300)(150)
A = 45,000
Then, multiply this by 6 to find the total cost:
45,000(6)
= 270,000
So, the cost to tile the plot is $270,000
Answer:
2700
Step-by-step explanation:
Length= 300m
width= 150 m
Area = Lx W = 300 x 150= 4500 sq m
rate per 100 sq meter= 6
so total cost = 4500/ 100 x 6
= 2700
hope it helps!
Three less than half of a number is - 1. Find the number.
Answer:
x = 4
Step-by-step explanation:
Three less than half of a number is -1
The Half Of A Number means the number can be anything, so we can use "x." However, it is half so it would become: 1/2x.
Three less than means it is minus three, therefore becomes: 1/2x-3
However, three less than half of a number is (or in other words is equal too) -1, so the overall equation is
1/2x - 3 = -1
first, add three on both sides to get:
1/2x = 2
multiply two on both sides to get:
x = 4
Reading and Writing Decimal Numbers through Ten Thousandths
A. Write each decimal in words.
1. 0.016
2. 0.0024
3. 0.0084
4. 26.0037
5. 9.368
Answer:
1. Sixteen thousandths 2.Twenty-four Ten-thousandths 3.Eighty-four Ten-thousandths 4. Twenty-six And Thirty-seven Ten-thousandths 5.Nine And Three hundred Sixty-eight Thousandths
HELP IM IN CLASS DOING IT RIGHT NOW The absolute value of any number is always positive. True False
Answer:
True
Step-by-step explanation:
Answer:
[tex] \huge\purple{TRUE}[/tex]
Step-by-step explanation:
The absolute value of any number is always positive.
0 = 4 + n/5 two step equations
Answer: n= -20?
Step-by-step:
Simplify both sides of the equation
1/5n+4=0
Then subtract 4 from both sides
1/5n + 4 - 4 = 0 - 4
1/5n= -4
Then multiply both sides by 5
5*(1/5n)=5*(-4)
Answer:
0=n
Step-by-step explanation:
1. 0=4+n/5
add 4 and n
2. 0=4n/5
×5. ×5
3. 0=4n
-- --
4 4
4. 0=n
Look at the picture for a more detailed steps
Find the smallest positive four-digit number that is divisible by each of the four smallest prime numbers.
Answer:
It might be 1,050. Also can't believe thats a college question-
It was very easy to solve! Help from an 8th grader here.
Step-by-step explanation:
The smallest four-digit number that is divisible by each of the four smallest prime numbers is 1050.
What is the divisibility rule?The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.
The four smallest prime numbers are 2, 3, 5, and 7.
To find the smallest four-digit number that is divisible by each of these numbers, we can start by finding the least common multiple (LCM) of these numbers. The LCM of a set of numbers is the smallest number that is divisible by all of the numbers in the set.
To find the LCM of 2, 3, 5, and 7, we can start by listing the prime factorization of each number:
2 = 2 x 1
3 = 3 x 1
5 = 5 x 1
7 = 7 x 1
Then, we can find the LCM by taking the highest power of each prime that appears in any of the numbers:
LCM(2, 3, 5, 7) = 2¹ x 3¹ x 5¹ x 7¹ = 210
Since we want the "smallest 4-digit number", then it is:
210 x 5 =1050
Therefore, each of the four lowest prime numbers may be divisible by the smallest four-digit number, which is 1050.
Learn more about the divisibility rule here:
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what is this answer!!!!!!!!
Step-by-step explanation:
what is this answer
(3x + 40) + (5x - 52) = 180°
8x - 12 = 180°
8x = 180 + 12
8x = 192
8x = 24
x = 3
21. Transportation A youth group with 26 members is going skiing. Each of the five
chaperones will drive a van or sedan. The vans can seat seven people, and the
sedans can seat five people. Assuming there are no empty seats, how many of each
type of vehicle could transport all 31 people to the ski area in one trip?
Answers:
2 sedans and 3 vans
=====================================================
Work Shown:
s = number of sedans
v = number of vans
1 sedan = 5 seats
s sedans = 5s seats
1 van = 7 seats
v vans = 7v seats
5s+7v = all seats
5s+7v = 31
Let's go through all the values of s to see which values of v work.
If s = 0, then the equation turns into 7v = 31, but the solution for v isn't an integer.If s = 1, then the equation turns into 5+7v = 31 and that solves to v = 26/7 = 3.71 which also isn't an integerIf s = 2, then the equation becomes 10+7v = 31 and that solves to v = 3. So we found the answer. This means we need 2 sedans and 3 vans.As a check:
2 sedans = 5*2 = 10 seats
3 vans = 7*3 = 21 seats
10+21 = 31 seats total
This confirms the answer.
The number of vans used is three and the number of sedans is two
Let :
v represent the number of vans
s represent the number of sedans
The following equations can be gotten
7v + 5s = 31 equation 1
v + s = 5 equation 2
The elimination method would be used to solve for v and s
Multiply equation 2 by 7
7v + 7s = 35 equation 3
Subtract equation 1 from 3
2s = 4
s = 4/2
s = 2
Substitute for s in equation 2
v + 2 = 5
v = 5 - 2
v = 3
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
Express as a fraction or a mixed number
1 1/2%
Answer:
5 and 1/2
Step-by-step explanation:
76763476-2345-345-324-23+5324+345234÷6847397475287365x3789127482297547 85345455345325234-345325+32453892727-2566663487296236582345x54287395 79238365379245÷97438528453492= what
Answer:
−1.43000372×[tex]10^{29}[/tex]
Step-by-step explanation:
76763476-2345-345-324-23+5324+345234÷6847397475287365x3789127482297547 85345455345325234-345325+32453892727-2566663487296236582345x54287395 79238365379245÷97438528453492= what
76763476-2345-345-324-23+5324+(1.91041289x[tex]10^{22}[/tex])-345325+32453892727-(1.43000391x[tex]10^{29}[/tex])
76765763+(1.91041289x[tex]10^{22}[/tex])-345325+32453892727-(1.43000391x[tex]10^{29}[/tex])
−1.43000372×[tex]10^{29}[/tex]
Answer:
It is a mystery to me
Step-by-step explanation:
Based on the graph, what does the point (0, 0) represent
Answer:
you didn't post the graph but (0,0) is the origin
Answer:
ok
Step-by-step explanation:
Perform the following operation
and express the answer in
scientific notation.
6.300x10^-5 – 7.200x10^-3
[?]*10
Answer:
Step-by-step explanation:
6.3 x10^-5 -7.200 x10^-3= - 0.007137=7.137x10-3
Answer:-7.137 x 10^-3
Step-by-step explanation:
In the rectangle below, AChas a length of 32 units. What is the length of DE?
O A. 32 units
OB. 64 units
OC. 24 units
O D. 16 units
What's the midpoint between 3 and -5
Answer:
Step-by-step explanation:
just imagine you are on a number line and the numbers are
-5....-4.....-3.....-2....-1....0....1....2.....3
as you see the midpoint is -1
NEED HELP NOW DIS IS DUE TODAY, answer plws :) LOOK AT DE PHOTO
Find the area of the composite figure.
A) 96.75 units2
B) 112.5 units2
C) 139.5 units2
D) 192 units2
Answer:
a.
Step-by-step explanation:
The area for this is
A= 7x9/2+3x9+9x6
= 31.5+27+54
= 112.5